ANSYS Mechanical APDL Verification Manual

ANSYS Mechanical APDL Verification Manual

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Table of Contents I. Verification Test Case Descriptions .......................................................................................................... 1 1. Introduction ...................................................................................................................................... 3 1.1. Program Overview ...................................................................................................................... 4 1.2. Program Verification ................................................................................................................... 4 1.3. Finding Test Cases of Interest ...................................................................................................... 5 1.4. Accessing Test Case Inputs .......................................................................................................... 5 1.5. Verification Manual Versus Other Manuals ................................................................................... 5 1.6. Verification Manual Contents ...................................................................................................... 5 1.7. Expected Results ........................................................................................................................ 6 1.8. Test Case Selection and Method of Solution ................................................................................ 6 1.9. Numerical Comparisons .............................................................................................................. 6 1.10. References ................................................................................................................................ 7 1.11. Test Case Format ....................................................................................................................... 7 1.12. Symbols and Nomenclature ...................................................................................................... 8 1.13. Memory Requirements and Run Times ...................................................................................... 8 1.14. Abbreviation and Symbol List .................................................................................................... 8 1.15. Units Abbreviation List ............................................................................................................ 10 1.16. Index by Element Number ....................................................................................................... 11 1. VM1: Statically Indeterminate Reaction Force Analysis ........................................................................ 25 2. VM2: Beam Stresses and Deflections ................................................................................................... 27 3. VM3: Thermally Loaded Support Structure .......................................................................................... 29 4. VM4: Deflection of a Hinged Support ................................................................................................. 31 5. VM5: Laterally Loaded Tapered Support Structure ............................................................................... 33 6. VM6: Pinched Cylinder ....................................................................................................................... 35 7. VM7: Plastic Compression of a Pipe Assembly ..................................................................................... 37 8. VM8: Parametric Calculation of Point-to-Point Distances ..................................................................... 41 9. VM9: Large Lateral Deflection of Unequal Stiffness Springs ................................................................. 43 10. VM10: Bending of a Tee-Shaped Beam .............................................................................................. 45 11. VM11: Residual Stress Problem ......................................................................................................... 47 12. VM12: Combined Bending and Torsion ............................................................................................. 49 13. VM13: Cylindrical Shell Under Pressure ............................................................................................. 51 14. VM14: Large Deflection Eccentric Compression of a Column ............................................................. 53 15. VM15: Bending of a Circular Plate Using Axisymmetric Elements ....................................................... 55 16. VM16: Bending of a Solid Beam (Plane Elements) .............................................................................. 59 17. VM17: Snap-Through Buckling of a Hinged Shell ............................................................................... 61 18. VM18: Out-of-Plane Bending of a Curved Bar .................................................................................... 65 19. VM19: Random Vibration Analysis of a Deep Simply-Supported Beam ............................................... 67 20. VM20: Cylindrical Membrane Under Pressure .................................................................................... 69 21. VM21: Tie Rod with Lateral Loading .................................................................................................. 71 22. VM22: Small Deflection of a Belleville Spring ..................................................................................... 73 23. VM23: Thermal-structural Contact of Two Bodies .............................................................................. 75 24. VM24: Plastic Hinge in a Rectangular Beam ....................................................................................... 77 25. VM25: Stresses in a Long Cylinder ..................................................................................................... 79 26. VM26: Large Deflection of a Cantilever ............................................................................................. 83 27. VM27: Thermal Expansion to Close a Gap .......................................................................................... 85 28. VM28: Transient Heat Transfer in an Infinite Slab ................................................................................ 87 29. VM29: Friction on a Support Block .................................................................................................... 89 30. VM30: Solid Model of Surface Fillet ................................................................................................... 91 31. VM31: Cable Supporting Hanging Loads ........................................................................................... 95 32. VM32: Thermal Stresses in a Long Cylinder ........................................................................................ 97 Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

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Mechanical APDL Verification Manual 33. VM33: Transient Thermal Stress in a Cylinder ..................................................................................... 99 34. VM34: Bending of a Tapered Plate (Beam) ....................................................................................... 103 35. VM35: Bimetallic Layered Cantilever Plate with Thermal Loading ..................................................... 107 36. VM36: Limit Moment Analysis ......................................................................................................... 109 37. VM37: Elongation of a Solid Bar ...................................................................................................... 111 38. VM38: Internal Pressure Loading of a Thick-Walled Cylinder ............................................................. 115 39. VM39: Bending of a Circular Plate with a Center Hole ...................................................................... 117 40. VM40: Large Deflection and Rotation of a Beam Pinned at One End ................................................. 121 41. VM41: Small Deflection of a Rigid Beam .......................................................................................... 123 42. VM42: Barrel Vault Roof Under Self Weight ...................................................................................... 125 43. VM43: Bending of an Axisymmetric Thick Pipe ................................................................................ 127 44. VM44: Bending of an Axisymmetric Thin Pipe .................................................................................. 129 45. VM45: Natural Frequency of a Spring-Mass System ......................................................................... 131 46. VM46: 2-D End Notched Flexure Problem ....................................................................................... 133 47. VM47: Torsional Frequency of a Suspended Disk ............................................................................. 135 48. VM48: Natural Frequency of a Motor-Generator .............................................................................. 137 49. VM49: Electrostatic Field Analysis of Quadpole Wires ...................................................................... 139 50. VM50: Fundamental Frequency of a Simply Supported Beam .......................................................... 141 51. VM51: Electrostatic Forces Between Charged Spheres ..................................................................... 143 52. VM52: Automobile Suspension System Vibration ............................................................................ 149 53. VM53: Vibration of a String Under Tension ...................................................................................... 151 54. VM54: Vibration of a Rotating Cantilever Blade ................................................................................ 153 55. VM55: Vibration of a Stretched Circular Membrane ......................................................................... 155 56. VM56: Hyperelastic Thick Cylinder Under Internal Pressure .............................................................. 157 57. VM57: Torsional Frequencies of a Drill Pipe ...................................................................................... 161 58. VM58: Centerline Temperature of a Heat Generating Wire ............................................................... 163 59. VM59: Lateral Vibration of an Axially-loaded Bar .............................................................................. 165 60. VM60: Natural Frequency of a Cross-ply Laminated Shell ................................................................. 167 61. VM61: Longitudinal Vibration of a Free-free Rod .............................................................................. 169 62. VM62: Vibration of a Wedge ............................................................................................................ 171 63. VM63: Static Hertz Contact Problem ............................................................................................... 175 64. VM64: Thermal Expansion to Close a Gap at a Rigid Surface ............................................................. 177 65. VM65: Transient Response of a Ball Impacting a Flexible Surface ...................................................... 179 66. VM66: Vibration of a Flat Plate ........................................................................................................ 181 67. VM67: Radial Vibrations of a Circular Ring ....................................................................................... 183 68. VM68: PSD Response of a Two DOF Spring-mass System ................................................................. 185 69. VM69: Seismic Response ................................................................................................................ 187 70. VM70: Seismic Response of a Beam Structure .................................................................................. 189 71. VM71: Transient Response of a Spring-Mass-Damper System ........................................................... 191 72. VM72: Logarithmic Decrement ....................................................................................................... 195 73. VM73: Free Vibration with Coulomb Damping ................................................................................. 199 74. VM74: Transient Response to an Impulsive Excitation ...................................................................... 203 75. VM75: Transient Response to a Step Excitation ................................................................................ 205 76. VM76: Harmonic Response of a Guitar String .................................................................................. 207 77. VM77: Transient Response to a Constant Force ................................................................................ 209 78. VM78: Transverse Shear Stresses in a Cantilever Beam ..................................................................... 211 79. VM79: Transient Response of a Bilinear Spring Assembly ................................................................. 213 80. VM80: Plastic Response to a Suddenly Applied Constant Force ........................................................ 215 81. VM81: Transient Response of a Drop Container ............................................................................... 219 82. VM82: Simply Supported Laminated Plate Under Pressure .............................................................. 221 83. VM83: Impact of a Block on a Spring Scale ...................................................................................... 223 84. VM84: Displacement Propagation along a Bar with Free Ends .......................................................... 227

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Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

Mechanical APDL Verification Manual 85. VM85: Transient Displacements in a Suddenly Stopped Moving Bar ................................................. 231 86. VM86: Harmonic Response of a Dynamic System ............................................................................ 237 87. VM87: Equivalent Structural Damping ............................................................................................ 239 88. VM88: Response of an Eccentric Weight Exciter ............................................................................... 241 89. VM89: Natural Frequencies of a Two-mass-spring System ................................................................ 243 90. VM90: Harmonic Response of a Two-Mass-Spring System ................................................................ 245 91. VM91: Large Rotation of a Swinging Pendulum ............................................................................... 247 92. VM92: Insulated Wall Temperature .................................................................................................. 251 93. VM93: Temperature Dependent Conductivity ................................................................................. 253 94. VM94: Heat-generating Plate .......................................................................................................... 255 95. VM95: Heat Transfer from a Cooling Spine ....................................................................................... 257 96. VM96: Temperature Distribution in a Short, Solid Cylinder ............................................................... 259 97. VM97: Temperature Distribution Along a Straight Fin ...................................................................... 261 98. VM98: Temperature Distribution Along a Tapered Fin ...................................................................... 263 99. VM99: Temperature Distribution in a Trapezoidal Fin ....................................................................... 267 100. VM100: Heat Conduction Across a Chimney Section ...................................................................... 269 101. VM101: Temperature Distribution in a Short Solid Cylinder ............................................................ 271 102. VM102: Cylinder with Temperature Dependent Conductivity ......................................................... 273 103. VM103: Thin Plate with Central Heat Source .................................................................................. 277 104. VM104: Liquid-Solid Phase Change ............................................................................................... 279 105. VM105: Heat Generating Coil with Temperature Conductivity ........................................................ 283 106. VM106: Radiant Energy Emission .................................................................................................. 287 107. VM107: Thermocouple Radiation .................................................................................................. 289 108. VM108: Temperature Gradient Across a Solid Cylinder ................................................................... 291 109. VM109: Temperature Response of a Suddenly Cooled Wire ............................................................ 293 110. VM110: Transient Temperature Distribution in a Slab ..................................................................... 295 111. VM111: Cooling of a Spherical Body .............................................................................................. 297 112. VM112: Cooling of a Spherical Body .............................................................................................. 299 113. VM113: Transient Temperature Distribution in an Orthotropic Metal Bar ........................................ 301 114. VM114: Temperature Response to Increasing Temperature ............................................................ 305 115. VM115: Thermal Response of a Heat-generating Slab .................................................................... 307 116. VM116: Heat Conducting Plate with Sudden Cooling .................................................................... 309 117. VM117: Electric Current Flowing in a Network ............................................................................... 313 118. VM118: Centerline Temperature of a Heat-generating Wire ............................................................ 315 119. VM119: Centerline Temperature of an Electrical Wire ..................................................................... 317 120. VM120: Microstrip Transmission Line Capacitance ......................................................................... 319 121. VM121: Voltage Forced Coil .......................................................................................................... 321 122. VM122: Pressure Drop in a Turbulent Flowing Fluid ....................................................................... 325 123. VM123: Laminar Flow in a Piping System ....................................................................................... 327 124. VM124: Discharge of Water from a Reservoir ................................................................................. 329 125. VM125: Radiation Heat Transfer Between Concentric Cylinders ...................................................... 331 126. VM126: Heat Transferred to a Flowing Fluid ................................................................................... 333 127. VM127: Buckling of a Bar with Hinged Ends (Line Elements) .......................................................... 335 128. VM128: Buckling of a Bar with Hinged Ends (Area Elements) .......................................................... 337 129. VM129: Numerical Differentiation and Integration ........................................................................ 339 130. VM130: Fourier Series Generation for a Saw Tooth Wave ................................................................ 341 131. VM131: Acceleration of a Rotating Crane Boom ............................................................................. 343 132. VM132: Stress Relaxation of a Tightened Bolt Due to Creep ........................................................... 345 133. VM133: Motion of a Rod Due to Irradiation Induced Creep ............................................................ 347 134. VM134: Plastic Bending of a Clamped I-Beam ................................................................................ 349 135. VM135: Bending of a Beam on an Elastic Foundation ..................................................................... 351 136. VM136: Large Deflection of a Buckled Bar (the Elastica) ................................................................. 353 Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

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Mechanical APDL Verification Manual 137. VM137: Large Deflection of a Circular Membrane .......................................................................... 357 138. VM138: Large Deflection Bending of a Circular Plate ...................................................................... 359 139. VM139: Bending of a Long Uniformly Loaded Rectangular Plate .................................................... 361 140. VM140: Stretching, Twisting and Bending of a Long Shaft .............................................................. 363 141. VM141: Diametral Compression of a Disk ...................................................................................... 365 142. VM142: Stress Concentration At a Hole in a Plate ........................................................................... 367 143. VM143: Fracture Mechanics Stress for a Crack in a Plate ................................................................. 371 144. VM144: Bending of a Composite Beam .......................................................................................... 373 145. VM145: Stretching of an Orthotropic Solid .................................................................................... 377 146. VM146: Bending of a Reinforced Concrete Beam ........................................................................... 381 147. VM147: Gray-Body Radiation within a Frustum of a Cone ............................................................... 383 148. VM148: Bending of a Parabolic Beam ............................................................................................ 385 149. VM149: Residual Vector in Mode-Superposition Harmonic Analysis ............................................... 387 150. VM150: Moisture Diffusion in a Plate Under Constant Surface Concentration ................................. 391 151. VM151: Nonaxisymmetric Vibration of a Circular Plate ................................................................... 395 152. VM152: 2-D Nonaxisymmetric Vibration of a Stretched Membrane ................................................ 397 153. VM153: 3-D Nonaxisymmetric Vibration of a Stretched Membrane ................................................ 399 154. VM154: Vibration of a Fluid Coupling ............................................................................................ 401 155. VM155: Chaboche Rate-Dependent Plastic Material under Cyclic Loading ...................................... 403 156. VM156: Natural Frequency of a Nonlinear Spring-Mass System ...................................................... 405 157. VM157: 3-D Acoustic Modal Analysis with Temperature Change .................................................... 409 158. VM158: Motion of a Bobbing Buoy ................................................................................................ 411 159. VM159: Temperature-controlled Heater ........................................................................................ 413 160. VM160: Solid Cylinder with Harmonic Temperature Load ............................................................... 417 161. VM161: Heat Flow From an Insulated Pipe ..................................................................................... 419 162. VM162: Cooling of a Circular Fin of Rectangular Profile .................................................................. 421 163. VM163: Groundwater Seepage (Permeability Analogy) .................................................................. 423 164. VM164: Drying of a Thick Wooden Slab (Diffusion Analogy) ........................................................... 427 165. VM165: Current-Carrying Ferromagnetic Conductor ...................................................................... 429 166. VM166: Long Cylinder in a Sinusoidal Magnetic Field .................................................................... 435 167. VM167: Transient Eddy Currents in a Semi-Infinite Solid ................................................................. 437 168. VM168: Magnetic Field in a Nonferrous Solenoid ........................................................................... 441 169. VM169: Permanent Magnet Circuit With an Air Gap ....................................................................... 443 170. VM170: Magnetic Field From a Square Current Loop ..................................................................... 447 171. VM171: Permanent Magnet Circuit With an Elastic Keeper ............................................................. 449 172. VM172: Stress Analysis of a Long, Thick, Isotropic Solenoid ............................................................. 453 173. VM173: Centerline Temperature of an Electrical Wire ..................................................................... 457 174. VM174: Bimetallic Beam Under Thermal Load ............................................................................... 459 175. VM175: Natural Frequency of a Piezoelectric Transducer ................................................................ 461 176. VM176: Frequency Response of Electrical Input Admittance .......................................................... 469 177. VM177: Natural Frequency of a Submerged Ring ........................................................................... 473 178. VM178: 2-D Double Cantilever Beam Problem .............................................................................. 479 179. VM179: Dynamic Double Rotation of a Jointed Beam .................................................................... 481 180. VM180: Bending of a Curved Beam ............................................................................................... 483 181. VM181: Natural Frequency of a Flat Circular Plate .......................................................................... 485 182. VM182: Transient Response of a Spring-mass System .................................................................... 487 183. VM183: Harmonic Response of a Spring-mass System ................................................................... 489 184. VM184: Straight Cantilever Beam .................................................................................................. 491 185. VM185: AC Analysis of a Slot Embedded Conductor ...................................................................... 495 186. VM186: Transient Analysis of a Slot Embedded Conductor ............................................................. 499 187. VM187: Bending of a Curved Beam ............................................................................................... 503 188. VM188: Force Calculation on a Current Carrying Conductor ........................................................... 505

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Mechanical APDL Verification Manual 189. VM189: Stress Relaxation of a Chloroprene Rubber ........................................................................ 509 190. VM190: Ferromagnetic Inductor ................................................................................................... 513 191. VM191: Hertz Contact Between Two Cylinders .............................................................................. 515 192. VM192: Cooling of a Billet by Radiation ......................................................................................... 517 193. VM193: Adaptive Analysis of 2-D Heat Transfer with Convection .................................................... 519 194. VM194: Element Birth/Death in a Fixed Bar ................................................................................... 521 195. VM195: Toggle Mechanism ........................................................................................................... 523 196. VM196: Counter-Balanced Loads on a Block .................................................................................. 525 197. VM197: IGES Write/Read for Thick-Walled Cylinder ........................................................................ 527 198. VM198: Large Strain In-plane Torsion Test ...................................................................................... 529 199. VM199: Viscoplastic Analysis of a Body (Shear Deformation) .......................................................... 533 200. VM200: Viscoelastic Sandwich Seal Analysis .................................................................................. 535 201. VM201: Rubber Cylinder Pressed Between Two Plates ................................................................... 539 202. VM202: Transverse Vibrations of a Shear Beam .............................................................................. 543 203. VM203: Dynamic Load Effect on Supported Thick Plate ................................................................. 547 204. VM204: Solid Model of an Axial Bearing ........................................................................................ 549 205. VM205: Adaptive Analysis of an Elliptic Membrane ........................................................................ 551 206. VM206: Stranded Coil with Voltage Excitation ............................................................................... 555 207. VM207: Stranded Coil Excited by External Circuit ........................................................................... 557 208. VM208: RL Circuit with Controlled Source ..................................................................................... 561 209. VM209: Static analysis of Double Bellows Air Spring ...................................................................... 563 210. VM210: Pyramid Validation of Tetrahedron to Hexahedron ............................................................ 569 211. VM211: Rubber Cylinder Pressed Between Two Plates ................................................................... 573 212. VM212: DDAM Analysis of Foundation System (2-DOF System) ...................................................... 577 213. VM213: Differential Inductance of a Transformer ........................................................................... 581 214. VM214: Rotating Rod in a Uniform Magnetic Field ......................................................................... 585 215. VM215: Thermal-Electric Hemispherical Shell with Hole ................................................................. 589 216. VM216: Lateral Buckling of a Right Angle Frame ............................................................................ 591 217. VM217: Portal Frame Under Symmetric Loading ............................................................................ 595 218. VM218: Hyperelastic Circular Plate ................................................................................................ 599 219. VM219: Frequency Response of a Prestressed Beam using APDL MATH Commands ....................... 603 220. VM220: Eddy Current Loss in Thick Steel Plate ............................................................................... 605 221. VM221: Simulation of Shape Memory Alloy Effect ......................................................................... 609 222. VM222: Warping Torsion Bar ......................................................................................................... 611 223. VM223: Electro-Thermal Microactuator Analysis ............................................................................ 615 224. VM224: Implicit Creep under Biaxial Load ..................................................................................... 619 225. VM225: Rectangular Cross-Section Bar with Preload ...................................................................... 623 226. VM226: Fourier Series Analysis of a Diode Rectified Circuit ............................................................. 625 227. VM227: Radiation Between Finite Coaxial Cylinders ....................................................................... 633 228. VM228: Radiation between Infinite Coaxial Cylinders .................................................................... 635 229. VM229: Friction Heating of Sliding Block ....................................................................................... 639 230. VM230: Analytical Verification of PDS Results ................................................................................ 643 231. VM231: Piezoelectric Rectangular Strip Under Pure Bending Load ................................................. 647 232. VM232: PDS Response Surface Study ............................................................................................ 649 233. VM233: Static Force Computation of a 3-D Solenoid Actuator ........................................................ 653 234. VM234: Cyclic Loading of a Rubber Block ...................................................................................... 657 235. VM235: Frequency Response of a Prestressed Beam ...................................................................... 659 236. VM236: Hysteresis Calculation of a Beam Under Electrostatic Load ................................................ 663 237. VM237: RLC Circuit with Piezoelectric Transducer .......................................................................... 665 238. VM238: Wheatstone Bridge Connection of Piezoresistors .............................................................. 669 239. VM239: Mechanics of the Revolute and Universal Joints ................................................................ 673 240. VM240: Thermal Expansion of Rigid Beams in a Composite Bar ...................................................... 677 Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

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Mechanical APDL Verification Manual 241. VM241: Static Force Computation of a 3-D Solenoid Actuator ........................................................ 679 242. VM242: Johnson-Champoux-Allard Equivalent Fluid Model ........................................................... 685 243. VM243: Cantilever Beam with Triangular Loading Defined by Function .......................................... 687 244. VM244: Modal Analysis of a Cyclic Symmetric Annular Plate .......................................................... 689 VM245. VM245: Squeeze Film Damping: Rectangular Plate ................................................................... 691 246. VM246: Cyclic Analysis of an End-Loaded Hollow Cylindrical Cantilever Beam ................................ 693 247. VM247: Campbell Diagrams and Critical Speeds Using Symmetric Bearings ................................... 695 248. VM248: Delamination Analysis of Double Cantilever Beam ............................................................ 699 249. VM249: Gasket Material Under Uniaxial Compression Loading - 2-D Analysis ................................. 703 250. VM250: Gasket Material Under Uniaxial Compression Loading - 3-D Analysis ................................. 707 251. VM251: Shape Memory Alloy Under Uniaxial Tension Load ............................................................ 711 252. VM252: Gurson Bar-Necking Benchmark with Applied Displacement - 2-D Analysis ....................... 713 253. VM253: Gurson Hydrostatic Tension Benchmark - 3-D Analysis ...................................................... 717 254. VM254: Campbell Diagrams and Critical Speeds Using Symmetric Orthotropic Bearings ................ 721 255. VM255: Delamination Analysis using Contact Based Debonding Capability ................................... 725 256. VM256: Fracture Mechanics Stress for a Crack in a Plate using CINT Command ............................... 727 257. VM257: Transient Analysis of a Swing with Two Rigid Links and Beam ............................................ 729 258. VM258: Spin-up Maneuver of a Flexible Beam ............................................................................... 733 259. VM259: Missing Mass with Rigid Responses Effects in Spectrum Analysis for BM3 Piping Model ..... 737 260. VM260: Two-Dimensional Consolidation Settlement Problem ....................................................... 743 261. VM261: Rotating Beam with Internal Viscous Damping .................................................................. 749 262. VM262: Two-Dimensional Fractural Problem under Thermal Loading ............................................. 753 263. VM263: Critical Speeds for a Rotor Bearing System with Axisymmetric Elements ........................... 755 264. VM264: Terzaghi's One-Dimensional Consolidation Settlement Problem ........................................ 759 265. VM265: Elastic Rod Impacting a Rigid Wall .................................................................................... 763 266. VM266: 3-D Crossing Beams in Contact with Friction ..................................................................... 767 267. VM267: Inclined Crack in 2-D Plate under Uniform Tension Loading ............................................... 771 268. VM268: Mullins Effect on a Rubber Tube Model Subjected to Tension Loading ............................... 773 269. VM269: Deformation of Tube and Sphere Modeled with Neo-Hookean Material Model .................. 775 270. VM270: Forces in Permanent Magnets .......................................................................................... 777 271. VM271: Convection Treatment Problem for a Hollow Cylinder with Fluid Flow ................................ 781 272. VM272: 2-D and 3-D Frictional Hertz Contact ................................................................................ 785 273. VM273: Shape Memory Alloy with thermal effect under uniaxial loading ....................................... 789 274. VM274: Stabilizing Squeal Damping ............................................................................................. 791 275. VM275: Mode lock-in and friction induced vibrations of a Pin-Disc model ...................................... 793 276. VM276: Moisture Diffusion in a Plate Under Constant Flux ............................................................. 795 277. VM277: Hall Plate in a Uniform Magnetic Field ............................................................................... 799 278. VM278: Effect of a Pipe Lying on the Ground under Gravity Loading .............................................. 803 279. VM279: T-Stress for a Crack in a Plate Using the CINT Command .................................................... 805 280. VM280: Conduction in a Doubly Insulated Pipe Carrying Steam ..................................................... 807 281. VM281: Effect of Stress Stiffening and Spin Softening on a Rotating Plate ...................................... 811 282. VM282: Mode Superposition Response Analysis of a Piston-Fluid System ....................................... 813 283. VM283: Low Reduced Frequency Model for Visco-thermal Fluid with Thin Structure ....................... 819 II. Benchmark Study Descriptions ........................................................................................................... 823 1. Overview ....................................................................................................................................... 825 1.1. Description of the Benchmark Studies ..................................................................................... 825 1.2. Benchmark Test Case Content and Nomenclature .................................................................... 826 1.3. Running the Benchmark Test Cases ......................................................................................... 827 1.4. Energy Norm .......................................................................................................................... 827 1.5. Benchmark Test Case Coverage Index ...................................................................................... 828 C1. VMC1: Built-In Plate Under Uniformly Distributed Load ................................................................... 831 C2. VMC2: Elliptic Membrane Under a Uniformly Load .......................................................................... 835

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Mechanical APDL Verification Manual C3. VMC3: Barrel Vault Roof Under Self Weight ..................................................................................... 839 C4. VMC4: Simply-Supported Thin Annular Plate .................................................................................. 843 C5. VMC5: Simply-Supported Solid Square Plate ................................................................................... 847 C6. VMC6: 2-D Heat Transfer With Convection ....................................................................................... 851 C7. VMC7: One-Dimensional Transient Heat Transfer ............................................................................. 855 C8. VMC8: Aluminum Bar Impacting a Rigid Boundary .......................................................................... 859 D1. VMD1: Straight Cantilever Beam Under Unit Load ........................................................................... 863 D2. VMD2: Barrel Vault Roof Under Self Weight ..................................................................................... 867 D3. VMD3: Free-Free Vibration of a Solid Beam ..................................................................................... 871 III. ANSYS LS-DYNA Study Descriptions .................................................................................................. 875 1. ANSYS LS-DYNA Study Overview .................................................................................................. 877 E1. VME1: Response of Spring-Mass System to Step Input ..................................................................... 879 E2. VME2: Drop Analysis of a Block Onto a Spring Scale ......................................................................... 881 E3. VME3: Response of Spring-Mass-Damper System ............................................................................ 883 E4. VME4: Undamped Vibration Absorber ............................................................................................. 887 E5. VME5: Pinned Bar Under Gravity Loading ........................................................................................ 889 E6. VME6: Projectile with Air Resistance ................................................................................................ 893 IV. NAFEMS Benchmarks ......................................................................................................................... 897 1. NAFEMS Benchmarks Overview .................................................................................................... 899 FEBSTA-LE1. VMFEBSTA-LE1: Linear Elastic Analysis on an Elliptical Membrane ...................................... 901 FEBSTA-LE5. VMFEBSTA-LE5: Linear Elastic Analysis on a Z-Section Cantilevered Plate ........................... 903 LSB2-LE8. VMLSB2-LE8: Linear Elastic Axisymmetric Shell with Pressure Loading ................................... 905 LSB2-LE9. VMLSB2-LE9: Linear Elastic Axisymmetric Branched Shell with Pressure Loading .................... 907 LSB2-LE11. VMLSB2-LE11: Linear Elastic Axisymmetric Shell with Pressure Loading ............................... 909 T2. VMP09-T2: Pin-Ended Double Cross: In-Plane Vibration ................................................................... 911 T4. VMP09-T4: Cantilever with Off-Center Point Masses ........................................................................ 913 T5. VMP09-T5: Deep Simply-Supported Beam ...................................................................................... 915 T12. VMP09-T12: Free Thin Square Plate ............................................................................................... 917 T15. VMP09-T15: Clamped Thin Rhombic Plate ..................................................................................... 919 T33. VMP09-T33: Free Annular Membrane ............................................................................................ 921 T52. VMP09-T52: Simply-Supported 'Solid' Square Plate ....................................................................... 923 VMR020-t1a: Center Cracked Plate in Tension ....................................................................................... 925 VMR020-t1b: Center Cracked Plate with Quadratic Thermal Distribution ............................................... 927 VMR020-t2a: Single Edge Cracked Plate Subjected to Uniform Tensile Stress ......................................... 929 VMR020-t2b: Single Edge Cracked Plate Subjected to Uniform Normal Displacement ........................... 931 VMR020-t3a: An Angle Crack Embedded in a Plate Subjected to Uniaxial Tension ................................. 933 VMR020-t3b: An Angle Crack Embedded in a Plate Subjected to Uniaxial Tension ................................. 935 VMR020-t3c: An Angle Crack Embedded in a Plate Subjected to Uniaxial Tension ................................. 937 VMR020-t4a: Crack at a Hole in a Plate Subjected to Uniaxial Tension .................................................... 939 VMR020-t4b: Crack at a Hole in a Plate Subjected to Uniaxial Tension ................................................... 941 VMR020-t5: Axisymmetric Crack in a Bar .............................................................................................. 943 VMR020-t6: Compact Tension Specimen .............................................................................................. 945 VMR020-t8a: V-Notch Cracked Plate Subjected to Uniform Tensile Stress .............................................. 947 VMR020-t8b: V-Notch Cracked Plate Subjected to Uniform Normal Displacement ................................. 949 R027-3A. VMR027-3A: 2-D Plane Stress - Biaxial (negative) Load Secondary Creep ................................. 951 R027-3B. VMR027-3B: 2-D Plane Stress - Biaxial (negative) Displacement Secondary Creep .................... 953 R027-4C. VMR027-4C: 2-D Plane Stress - Shear Loading Secondary Creep .............................................. 955 R027-5B. VMR027-5B: 2-D Plane Strain - Biaxial Displacement Secondary Creep .................................... 957 R027-6B. VMR027-6B: 3-D - Triaxial Displacement Secondary Creep ...................................................... 959 R027-10A. VMR027-10A: 2-D Plane Stress - Biaxial (negative) Load Primary Creep .................................. 961 R027-10B. VMR027-10B: 2-D Plane Stress - Biaxial (negative) Displacement Primary Creep ..................... 963 R027-10C. VMR027-10C: 2-D Plane Stress - Biaxial (negative) Stepped Load - Primary Creep .................. 965 Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

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Mechanical APDL Verification Manual R027-12B. VMR027-12B: 2-D Plane Stress - Uniaxial Displacement Primary-Secondary Creep ................. 967 R027-12C. VMR027-12C: 2-D Plane Stress - Stepped Load Primary - Secondary Creep ............................ 969 T1. VMR029-T1: Elastic Large Deflection Response of a Z-Shaped Cantilever Upper End Load ................ 971 T4. VMR029-T4: Lateral Torsional Buckling of an Elastic Cantilever Subjected to Transverse End Load ..... 973 T5. VMR029-T5: Large deflection of a curved elastic cantilever under transverse end load ..................... 975 T7. VMR029-T7: Large Displacement of a Hinged Spherical Shell under Uniform Pressure Loading ......... 977 T9. VMR029-T9: Large Elastic Deflection of a Pinched Hemispherical Shell ............................................. 979 VMR031-T1. VMR031-T1: Laminated Strip under Three-Point Bending ................................................... 981 VMR031-T2. VMR031-T2: Wrapped Thick Cylinder under Pressure and Thermal Loading ........................ 983 VMR031-T3. VMR031-T3: Three-Layer Sandwich Shell under Normal Pressure Loading .......................... 985 R038-2A. VMR038-2A: J Integral Value for Centered Crack Plate with BISO Material Model ..................... 987 R038-2B. VMR038-2B: J Integral Value for Centered Crack Plate with Elastic Perfectly Plastic Material ...... 989 R038-2E. VMR038-2E: J Integral Value for Centered Crack Plate with Elastic Perfectly Plastic Material ...... 991 R038-2g. VMR038-2g: Centered Crack Plate Ender Thermal Loading with Elastic Perfectly Plastic Material ........................................................................................................................................................ 993 R038-3A. VMR038-3A: J integral value for compact tension specimen with BISO material model ............ 995 R038-4A. VMR038-4A: J Integral Value for Three Point Bend Specimen with Power Law Hardening ........ 997 R049-CR1. VMR049-CR1: Constant-Load Creep Benchmark ................................................................... 999 R049-CR2. VMR049-CR2: Constant-Displacement Creep Benchmark .................................................... 1001 R049-CR3. VMR049-CR3: Variable-Load Uniaxial Creep Benchmark ...................................................... 1003 R049-CR4. VMR049-CR4: Pressurised Cylinder Creep Benchmark ......................................................... 1005 R049-CR5. VMR049-CR5: Torsional Creep of Square Shaft .................................................................... 1007 R049-CR6. VMR049-CR6: Thermally Induced Creep Benchmark ........................................................... 1009 R049-PL1. VMR049-PL1: 2D Plane Strain Plasticity Benchmark ............................................................. 1011 R049-PL2. VMR049-PL2: 2D Plane Stress Plasticity Benchmark ............................................................. 1013 R049-PL3. VMR049-PL3: 3D Plasticity Benchmark ................................................................................ 1015 R049-PL5. VMR049-PL5: Pressurised Cylinder Plasticity Benchmark ..................................................... 1017 R083-CA1. VMR083-CA1: Sound Radiation of a Vibrating Sphere ......................................................... 1019 R083-CA2. VMR083-CA2: Sound Radiation of a Cylinder with Vibrating Lateral Surface ........................ 1021 V. NRC Piping Benchmarks .................................................................................................................... 1023 1. NRC Piping Benchmarks Overview ............................................................................................. 1025 1.1. Piping Benchmarks using Archived Elements ......................................................................... 1025 1.2. Piping Benchmarks using Current Technology Elements ........................................................ 1026 1.3. Demonstration Problem 1 ..................................................................................................... 1027 1.4. Demonstration Problem 2 ..................................................................................................... 1029 1.5. Demonstration Problem 3 ..................................................................................................... 1032 VM-NR1677-01-1-a. VM-NR1677-01-1-a: NUREG/CR-1677: Volume 1, Benchmark Problem No. 1 ........... 1037 VM-NR1677-01-2-a. VM-NR1677-01-2-a: NUREG/CR-1677: Volume 1, Benchmark Problem No. 2 ........... 1041 VM-NR1677-01-3-a. VM-NR1677-01-3-a: NUREG/CR-1677: Volume 1, Benchmark Problem No. 3 ........... 1045 VM-NR1677-01-4-a. VM-NR1677-01-4-a: NUREG/CR-1677: Volume 1, Benchmark Problem No. 4 ........... 1049 VM-NR1677-01-5-a. VM-NR1677-01-5-a: NUREG/CR-1677: Volume 1, Benchmark Problem No. 5 ........... 1055 VM-NR1677-01-6-a. VM-NR1677-01-6-a: NUREG/CR-1677: Volume 1, Benchmark Problem No. 6 ........... 1061 VM-NR1677-01-7-a. VM-NR1677-01-7-a: NUREG/CR-1677: Volume 1, Benchmark Problem No. 7 ........... 1069 VM-NR1677-02-1-a. VM-NR1677-02-1-a: NUREG/CR-1677: Volume 2, Benchmark Problem No. 1 ........... 1077 VM-NR1677-02-2-a. VM-NR1677-02-2-a: NUREG/CR-1677: Volume 2, Benchmark Problem No. 2 ........... 1087 VM-NR1677-02-3-a. VM-NR1677-02-3-a: NUREG/CR-1677: Volume 2, Benchmark Problem No. 3 ........... 1097 VM-NR1677-02-4-a. VM-NR1677-02-4-a: NUREG/CR-1677: Volume 2, Benchmark Problem No. 4 ........... 1109 VM-NR6645-01-1-a. VM-NR6645-01-1: VM-NR6645-01-1-a ................................................................... 1125 VM-NR1677-01-1. VM-NR1677-01-1: NUREG/CR-1677: Volume 1, Benchmark Problem No. 1 ................. 1131 VM-NR1677-01-2. VM-NR1677-01-2: NUREG/CR-1677: Volume 1, Benchmark Problem No. 2 ................. 1133 VM-NR1677-01-3. VM-NR1677-01-3: NUREG/CR-1677: Volume 1, Benchmark Problem No. 3 ................. 1135 VM-NR1677-01-4. VM-NR1677-01-4: NUREG/CR-1677: Volume 1, Benchmark Problem No. 4 ................. 1139

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Mechanical APDL Verification Manual VM-NR1677-01-5. VM-NR1677-01-5: NUREG/CR-1677: Volume 1, Benchmark Problem No. 5 ................. 1143 VM-NR1677-01-6. VM-NR1677-01-6: NUREG/CR-1677: Volume 1, Benchmark Problem No. 6 ................. 1147 VM-NR1677-01-7. VM-NR1677-01-7: NUREG/CR-1677: Volume 1, Benchmark Problem No. 7 ................. 1151 VM-NR1677-02-1. VM-NR1677-02-1: NUREG/CR-1677: Volume 2, Benchmark Problem No. 1 ................. 1155 VM-NR1677-02-2. VM-NR1677-02-2: NUREG/CR-1677: Volume 2, Benchmark Problem No. 2 ................. 1161 VM-NR1677-02-3. VM-NR1677-02-3: NUREG/CR-1677: Volume 2, Benchmark Problem No. 3 ................. 1167 VM-NR1677-02-4. VM-NR1677-02-4: NUREG/CR-1677: Volume 2, Benchmark Problem No. 4 ................. 1173 VM-NR6645-01-1. VM-NR6645-01-1: NUREG/CR-6645-01-1 ................................................................. 1179 A. Verification Test Case Input Listings ...................................................................................................... 1183 A.1. VM1 Input Listing ........................................................................................................................ 1188 A.2. VM2 Input Listing ........................................................................................................................ 1189 A.3. VM3 Input Listing ........................................................................................................................ 1190 A.4. VM4 Input Listing ........................................................................................................................ 1191 A.5. VM5 Input Listing ........................................................................................................................ 1192 A.6. VM6 Input Listing ........................................................................................................................ 1193 A.7. VM7 Input Listing ........................................................................................................................ 1195 A.8. VM8 Input Listing ........................................................................................................................ 1198 A.9. VM9 Input Listing ........................................................................................................................ 1199 A.10. VM10 Input Listing .................................................................................................................... 1200 A.11. VM11 Input Listing .................................................................................................................... 1201 A.12. VM12 Input Listing .................................................................................................................... 1202 A.13. VM13 Input Listing .................................................................................................................... 1204 A.14. VM14 Input Listing .................................................................................................................... 1204 A.15. VM15 Input Listing .................................................................................................................... 1205 A.16. VM16 Input Listing .................................................................................................................... 1207 A.17. VM17 Input Listing .................................................................................................................... 1209 A.18. VM18 Input Listing .................................................................................................................... 1212 A.19. VM19 Input Listing .................................................................................................................... 1214 A.20. VM20 Input Listing .................................................................................................................... 1215 A.21. VM21 Input Listing .................................................................................................................... 1217 A.22. VM22 Input Listing .................................................................................................................... 1218 A.23. VM23 Input Listing .................................................................................................................... 1219 A.24. VM24 Input Listing .................................................................................................................... 1223 A.25. VM25 Input Listing .................................................................................................................... 1223 A.26. VM26 Input Listing .................................................................................................................... 1225 A.27. VM27 Input Listing .................................................................................................................... 1228 A.28. VM28 Input Listing .................................................................................................................... 1229 A.29. VM29 Input Listing .................................................................................................................... 1230 A.30. VM30 Input Listing .................................................................................................................... 1232 A.31. VM31 Input Listing .................................................................................................................... 1233 A.32. VM32 Input Listing .................................................................................................................... 1234 A.33. VM33 Input Listing .................................................................................................................... 1236 A.34. VM34 Input Listing .................................................................................................................... 1238 A.35. VM35 Input Listing .................................................................................................................... 1242 A.36. VM36 Input Listing .................................................................................................................... 1243 A.37. VM37 Input Listing .................................................................................................................... 1246 A.38. VM38 Input Listing .................................................................................................................... 1248 A.39. VM39 Input Listing .................................................................................................................... 1250 A.40. VM40 Input Listing .................................................................................................................... 1252 A.41. VM41 Input Listing .................................................................................................................... 1253 A.42. VM42 Input Listing .................................................................................................................... 1255 A.43. VM43 Input Listing .................................................................................................................... 1257 Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

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Mechanical APDL Verification Manual A.44. VM44 Input Listing .................................................................................................................... 1258 A.45. VM45 Input Listing .................................................................................................................... 1259 A.46. VM46 Input Listing .................................................................................................................... 1260 A.47. VM47 Input Listing .................................................................................................................... 1262 A.48. VM48 Input Listing .................................................................................................................... 1263 A.49. VM49 Input Listing .................................................................................................................... 1263 A.50. VM50 Input Listing .................................................................................................................... 1265 A.51. VM51 Input Listing .................................................................................................................... 1266 A.52. VM52 Input Listing .................................................................................................................... 1271 A.53. VM53 Input Listing .................................................................................................................... 1272 A.54. VM54 Input Listing .................................................................................................................... 1273 A.55. VM55 Input Listing .................................................................................................................... 1277 A.56. VM56 Input Listing .................................................................................................................... 1278 A.57. VM57 Input Listing .................................................................................................................... 1281 A.58. VM58 Input Listing .................................................................................................................... 1285 A.59. VM59 Input Listing .................................................................................................................... 1286 A.60. VM60 Input Listing .................................................................................................................... 1287 A.61. VM61 Input Listing .................................................................................................................... 1288 A.62. VM62 Input Listing .................................................................................................................... 1289 A.63. VM63 Input Listing .................................................................................................................... 1292 A.64. VM64 Input Listing .................................................................................................................... 1293 A.65. VM65 Input Listing .................................................................................................................... 1295 A.66. VM66 Input Listing .................................................................................................................... 1296 A.67. VM67 Input Listing .................................................................................................................... 1299 A.68. VM68 Input Listing .................................................................................................................... 1300 A.69. VM69 Input Listing .................................................................................................................... 1301 A.70. VM70 Input Listing .................................................................................................................... 1302 A.71. VM71 Input Listing .................................................................................................................... 1303 A.72. VM72 Input Listing .................................................................................................................... 1304 A.73. VM73 Input Listing .................................................................................................................... 1305 A.74. VM74 Input Listing .................................................................................................................... 1306 A.75. VM75 Input Listing .................................................................................................................... 1307 A.76. VM76 Input Listing .................................................................................................................... 1309 A.77. VM77 Input Listing .................................................................................................................... 1310 A.78. VM78 Input Listing .................................................................................................................... 1311 A.79. VM79 Input Listing .................................................................................................................... 1313 A.80. VM80 Input Listing .................................................................................................................... 1314 A.81. VM81 Input Listing .................................................................................................................... 1315 A.82. VM82 Input Listing .................................................................................................................... 1317 A.83. VM83 Input Listing .................................................................................................................... 1322 A.84. VM84 Input Listing .................................................................................................................... 1323 A.85. VM85 Input Listing .................................................................................................................... 1324 A.86. VM86 Input Listing .................................................................................................................... 1326 A.87. VM87 Input Listing .................................................................................................................... 1327 A.88. VM88 Input Listing .................................................................................................................... 1328 A.89. VM89 Input Listing .................................................................................................................... 1329 A.90. VM90 Input Listing .................................................................................................................... 1330 A.91. VM91 Input Listing .................................................................................................................... 1331 A.92. VM92 Input Listing .................................................................................................................... 1333 A.93. VM93 Input Listing .................................................................................................................... 1334 A.94. VM94 Input Listing .................................................................................................................... 1334 A.95. VM95 Input Listing .................................................................................................................... 1335

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Mechanical APDL Verification Manual A.96. VM96 Input Listing .................................................................................................................... 1337 A.97. VM97 Input Listing .................................................................................................................... 1339 A.98. VM98 Input Listing .................................................................................................................... 1340 A.99. VM99 Input Listing .................................................................................................................... 1341 A.100. VM100 Input Listing ................................................................................................................ 1342 A.101. VM101 Input Listing ................................................................................................................ 1343 A.102. VM102 Input Listing ................................................................................................................ 1344 A.103. VM103 Input Listing ................................................................................................................ 1346 A.104. VM104 Input Listing ................................................................................................................ 1348 A.105. VM105 Input Listing ................................................................................................................ 1349 A.106. VM106 Input Listing ................................................................................................................ 1350 A.107. VM107 Input Listing ................................................................................................................ 1350 A.108. VM108 Input Listing ................................................................................................................ 1351 A.109. VM109 Input Listing ................................................................................................................ 1352 A.110. VM110 Input Listing ................................................................................................................ 1353 A.111. VM111 Input Listing ................................................................................................................ 1354 A.112. VM112 Input Listing ................................................................................................................ 1355 A.113. VM113 Input Listing ................................................................................................................ 1356 A.114. VM114 Input Listing ................................................................................................................ 1357 A.115. VM115 Input Listing ................................................................................................................ 1358 A.116. VM116 Input Listing ................................................................................................................ 1359 A.117. VM117 Input Listing ................................................................................................................ 1360 A.118. VM118 Input Listing ................................................................................................................ 1362 A.119. VM119 Input Listing ................................................................................................................ 1364 A.120. VM120 Input Listing ................................................................................................................ 1366 A.121. VM121 Input Listing ................................................................................................................ 1367 A.122. VM122 Input Listing ................................................................................................................ 1370 A.123. VM123 Input Listing ................................................................................................................ 1371 A.124. VM124 Input Listing ................................................................................................................ 1371 A.125. VM125 Input Listing ................................................................................................................ 1372 A.126. VM126 Input Listing ................................................................................................................ 1374 A.127. VM127 Input Listing ................................................................................................................ 1375 A.128. VM128 Input Listing ................................................................................................................ 1376 A.129. VM129 Input Listing ................................................................................................................ 1377 A.130. VM130 Input Listing ................................................................................................................ 1378 A.131. VM131 Input Listing ................................................................................................................ 1379 A.132. VM132 Input Listing ................................................................................................................ 1380 A.133. VM133 Input Listing ................................................................................................................ 1381 A.134. VM134 Input Listing ................................................................................................................ 1382 A.135. VM135 Input Listing ................................................................................................................ 1384 A.136. VM136 Input Listing ................................................................................................................ 1385 A.137. VM137 Input Listing ................................................................................................................ 1387 A.138. VM138 Input Listing ................................................................................................................ 1388 A.139. VM139 Input Listing ................................................................................................................ 1389 A.140. VM140 Input Listing ................................................................................................................ 1392 A.141. VM141 Input Listing ................................................................................................................ 1393 A.142. VM142 Input Listing ................................................................................................................ 1399 A.143. VM143 Input Listing ................................................................................................................ 1401 A.144. VM144 Input Listing ................................................................................................................ 1407 A.145. VM145 Input Listing ................................................................................................................ 1410 A.146. VM146 Input Listing ................................................................................................................ 1411 A.147. VM147 Input Listing ................................................................................................................ 1413 Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

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Mechanical APDL Verification Manual A.148. VM148 Input Listing ................................................................................................................ A.149. VM149 Input Listing ................................................................................................................ A.150. VM150 Input Listing ................................................................................................................ A.151. VM151 Input Listing ................................................................................................................ A.152. VM152 Input Listing ................................................................................................................ A.153. VM153 Input Listing ................................................................................................................ A.154. VM154 Input Listing ................................................................................................................ A.155. VM155 Input Listing ................................................................................................................ A.156. VM156 Input Listing ................................................................................................................ A.157. VM157 Input Listing ................................................................................................................ A.158. VM158 Input Listing ................................................................................................................ A.159. VM159 Input Listing ................................................................................................................ A.160. VM160 Input Listing ................................................................................................................ A.161. VM161 Input Listing ................................................................................................................ A.162. VM162 Input Listing ................................................................................................................ A.163. VM163 Input Listing ................................................................................................................ A.164. VM164 Input Listing ................................................................................................................ A.165. VM165 Input Listing ................................................................................................................ A.166. VM166 Input Listing ................................................................................................................ A.167. VM167 Input Listing ................................................................................................................ A.168. VM168 Input Listing ................................................................................................................ A.169. VM169 Input Listing ................................................................................................................ A.170. VM170 Input Listing ................................................................................................................ A.171. VM171 Input Listing ................................................................................................................ A.172. VM172 Input Listing ................................................................................................................ A.173. VM173 Input Listing ................................................................................................................ A.174. VM174 Input Listing ................................................................................................................ A.175. VM175 Input Listing ................................................................................................................ A.176. VM176 Input Listing ................................................................................................................ A.177. VM177 Input Listing ................................................................................................................ A.178. VM178 Input Listing ................................................................................................................ A.179. VM179 Input Listing ................................................................................................................ A.180. VM180 Input Listing ................................................................................................................ A.181. VM181 Input Listing ................................................................................................................ A.182. VM182 Input Listing ................................................................................................................ A.183. VM183 Input Listing ................................................................................................................ A.184. VM184 Input Listing ................................................................................................................ A.185. VM185 Input Listing ................................................................................................................ A.186. VM186 Input Listing ................................................................................................................ A.187. VM187 Input Listing ................................................................................................................ A.188. VM188 Input Listing ................................................................................................................ A.189. VM189 Input Listing ................................................................................................................ A.190. VM190 Input Listing ................................................................................................................ A.191. VM191 Input Listing ................................................................................................................ A.192. VM192 Input Listing ................................................................................................................ A.193. VM193 Input Listing ................................................................................................................ A.194. VM194 Input Listing ................................................................................................................ A.195. VM195 Input Listing ................................................................................................................ A.196. VM196 Input Listing ................................................................................................................ A.197. VM197 Input Listing ................................................................................................................ A.198. VM198 Input Listing ................................................................................................................ A.199. VM199 Input Listing ................................................................................................................

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Mechanical APDL Verification Manual A.200. VM200 Input Listing ................................................................................................................ A.201. VM201 Input Listing ................................................................................................................ A.202. VM202 Input Listing ................................................................................................................ A.203. VM203 Input Listing ................................................................................................................ A.204. VM204 Input Listing ................................................................................................................ A.205. VM205 Input Listing ................................................................................................................ A.206. VM206 Input Listing ................................................................................................................ A.207. VM207 Input Listing ................................................................................................................ A.208. VM208 Input Listing ................................................................................................................ A.209. VM209 Input Listing ................................................................................................................ A.210. VM210 Input Listing ................................................................................................................ A.211. VM211 Input Listing ................................................................................................................ A.212. VM212 Input Listing ................................................................................................................ A.213. VM213 Input Listing ................................................................................................................ A.214. VM214 Input Listing ................................................................................................................ A.215. VM215 Input Listing ................................................................................................................ A.216. VM216 Input Listing ................................................................................................................ A.217. VM217 Input Listing ................................................................................................................ A.218. VM218 Input Listing ................................................................................................................ A.219. VM219 Input Listing ................................................................................................................ A.220. VM220 Input Listing ................................................................................................................ A.221. VM221 Input Listing ................................................................................................................ A.222. VM222 Input Listing ................................................................................................................ A.223. VM223 Input Listing ................................................................................................................ A.224. VM224 Input Listing ................................................................................................................ A.225. VM225 Input Listing ................................................................................................................ A.226. VM226 Input Listing ................................................................................................................ A.227. VM227 Input Listing ................................................................................................................ A.228. VM228 Input Listing ................................................................................................................ A.229. VM229 Input Listing ................................................................................................................ A.230. VM230 Input Listing ................................................................................................................ A.231. VM231 Input Listing ................................................................................................................ A.232. VM232 Input Listing ................................................................................................................ A.233. VM233 Input Listing ................................................................................................................ A.234. VM234 Input Listing ................................................................................................................ A.235. VM235 Input Listing ................................................................................................................ A.236. VM236 Input Listing ................................................................................................................ A.237. VM237 Input Listing ................................................................................................................ A.238. VM238 Input Listing ................................................................................................................ A.239. VM239 Input Listing ................................................................................................................ A.240. VM240 Input Listing ................................................................................................................ A.241. VM241 Input Listing ................................................................................................................ A.242. VM242 Input Listing ................................................................................................................ A.243. VM243 Input Listing ................................................................................................................ A.244. VM244 Input Listing ................................................................................................................ A.245. VM245 Input Listing ................................................................................................................ A.246. VM246 Input Listing ................................................................................................................ A.247. VM247 Input Listing ................................................................................................................ A.248. VM248 Input Listing ................................................................................................................ A.249. VM249 Input Listing ................................................................................................................ A.250. VM250 Input Listing ................................................................................................................ A.251. VM251 Input Listing ................................................................................................................ Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

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Mechanical APDL Verification Manual A.252. VM252 Input Listing ................................................................................................................ 1681 A.253. VM253 Input Listing ................................................................................................................ 1683 A.254. VM254 Input Listing ................................................................................................................ 1685 A.255. VM255 Input Listing ................................................................................................................ 1690 A.256. VM256 Input Listing ................................................................................................................ 1692 A.257. VM257 Input Listing ................................................................................................................ 1697 A.258. VM258 Input Listing ................................................................................................................ 1701 A.259. VM259 Input Listing ................................................................................................................ 1704 A.260. VM260 Input Listing ................................................................................................................ 1713 A.261. VM261 Input Listing ................................................................................................................ 1718 A.262. VM262 Input Listing ................................................................................................................ 1720 A.263. VM263 Input Listing ................................................................................................................ 1722 A.264. VM264 Input Listing ................................................................................................................ 1732 A.265. VM265 Input Listing ................................................................................................................ 1737 A.266. VM266 Input Listing ................................................................................................................ 1740 A.267. VM267 Input Listing ................................................................................................................ 1743 A.268. VM268 Input Listing ................................................................................................................ 1746 A.269. VM269 Input Listing ................................................................................................................ 1748 A.270. VM270 Input Listing ................................................................................................................ 1750 A.271. VM271 Input Listing ................................................................................................................ 1753 A.272. VM272 Input Listing ................................................................................................................ 1756 A.273. VM273 Input Listing ................................................................................................................ 1768 A.274. VM274 Input Listing ................................................................................................................ 1771 A.275. VM275 Input Listing ................................................................................................................ 1773 A.276. VM276 Input Listing ................................................................................................................ 1778 A.277. VM277 Input Listing ................................................................................................................ 1780 A.278. VM278 Input Listing ................................................................................................................ 1782 A.279. VM279 Input Listing ................................................................................................................ 1784 A.280. VM280 Input Listing ................................................................................................................ 1789 A.281. VM281 Input Listing ................................................................................................................ 1791 A.282. VM282 Input Listing ................................................................................................................ 1798 A.283. VM283 Input Listing ................................................................................................................ 1801 B. Benchmark Input Listings .................................................................................................................... 1805 B.1. Benchmark C1 Input Listing ......................................................................................................... 1805 B.2. Benchmark C2 Input Listing ......................................................................................................... 1812 B.3. Benchmark C3 Input Listing ......................................................................................................... 1818 B.4. Benchmark C4 Input Listing ......................................................................................................... 1820 B.5. Benchmark C5 Input Listing ......................................................................................................... 1823 B.6. Benchmark C6 Input Listing ......................................................................................................... 1826 B.7. Benchmark C7 Input Listing ......................................................................................................... 1830 B.8. Benchmark C8 Input Listing ......................................................................................................... 1832 B.9. Benchmark D1 Input Listing ........................................................................................................ 1834 B.10. Benchmark D2 Input Listing ...................................................................................................... 1842 B.11. Benchmark D3 Input Listing ...................................................................................................... 1844 C. ANSYS LS-DYNA Input Listings ............................................................................................................. 1851 C.1. VME1 Input Listing ...................................................................................................................... 1851 C.2. VME2 Input Listing ...................................................................................................................... 1853 C.3. VME3 Input Listing ...................................................................................................................... 1854 C.4. VME4 Input Listing ...................................................................................................................... 1856 C.5. VME5 Input Listing ...................................................................................................................... 1858 C.6. VME6 Input Listing ...................................................................................................................... 1859 D. NAFEMS Input Listings ........................................................................................................................ 1861

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Mechanical APDL Verification Manual D.1. VM-P09-t2 188 Input Listing ........................................................................................................ 1864 D.2. VM-P09-t2 189 Input Listing ........................................................................................................ 1866 D.3. VM-P09-t4 188 Input Listing ........................................................................................................ 1869 D.4. VM-P09-t4 189 Input Listing ........................................................................................................ 1870 D.5. VM-P09-t5 188 Input Listing ........................................................................................................ 1872 D.6. VM-P09-t5 189 Input Listing ........................................................................................................ 1874 D.7. VM-P09-t12 181 Input Listing ...................................................................................................... 1876 D.8. VM-P09-t12 281 Input Listing ...................................................................................................... 1877 D.9. VM-P09-t15 181 Input Listing ...................................................................................................... 1878 D.10. VM-P09-t15 281 Input Listing .................................................................................................... 1880 D.11. VM-P09-t33 182 Input Listing .................................................................................................... 1881 D.12. VM-P09-t33 183 Input Listing .................................................................................................... 1883 D.13. VM-P09-t52 181 Input Listing .................................................................................................... 1885 D.14. VM-P09-t52 185 Input Listing .................................................................................................... 1886 D.15. VM-P09-t52 186 Input Listing .................................................................................................... 1888 D.16. VM-P09-t52 187 Input Listing .................................................................................................... 1890 D.17. VM-P09-t52 281 Input Listing .................................................................................................... 1892 D.18. VM-R020-t1a 183 Input Listing .................................................................................................. 1893 D.19. VM-R020-t1b 183 Input Listing .................................................................................................. 1896 D.20. VM-R020-t2a 183 Input Listing .................................................................................................. 1900 D.21. VM-R020-t2b 183 Input Listing .................................................................................................. 1903 D.22. VM-R020-t3a 183 Input Listing .................................................................................................. 1906 D.23. VM-R020-t3b 183 Input Listing .................................................................................................. 1909 D.24. VM-R020-t3c 183 Input Listing .................................................................................................. 1911 D.25. VM-R020-t4a 183 Input Listing .................................................................................................. 1916 D.26. VM-R020-t4b 183 Input Listing .................................................................................................. 1920 D.27. VM-R020-t5a 183 Input Listing .................................................................................................. 1923 D.28. VM-R020-t6a 183 Input Listing .................................................................................................. 1928 D.29. VM-R020-t8a 183 Input Listing .................................................................................................. 1932 D.30. VM-R020-t8b 183 Input Listing .................................................................................................. 1935 D.31. VM-R027-3A 181 Input Listing ................................................................................................... 1939 D.32. VM-R027-3A 182 Input Listing ................................................................................................... 1942 D.33. VM-R027-3A 183 Input Listing ................................................................................................... 1945 D.34. VM-R027-3A 281 Input Listing ................................................................................................... 1948 D.35. VM-R027-3B 181 Input Listing ................................................................................................... 1951 D.36. VM-R027-3B 182 Input Listing ................................................................................................... 1953 D.37. VM-R027-3B 183 Input Listing ................................................................................................... 1956 D.38. VM-R027-3B 281 Input Listing ................................................................................................... 1958 D.39. VM-R027-4C 181 Input Listing ................................................................................................... 1961 D.40. VM-R027-4C 182 Input Listing ................................................................................................... 1964 D.41. VM-R027-4C 183 Input Listing ................................................................................................... 1967 D.42. VM-R027-4C 281 Input Listing ................................................................................................... 1969 D.43. VM-R027-5B 182 Input Listing ................................................................................................... 1972 D.44. VM-R027-5B 183 Input Listing ................................................................................................... 1974 D.45. VM-R027-6B 185 Input Listing ................................................................................................... 1977 D.46. VM-R027-6B 186 Input Listing ................................................................................................... 1980 D.47. VM-R027-6B 187 Input Listing ................................................................................................... 1984 D.48. VM-R027-10A 181 Input Listing ................................................................................................. 1987 D.49. VM-R027-10A 182 Input Listing ................................................................................................. 1991 D.50. VM-R027-10A 183 Input Listing ................................................................................................. 1994 D.51. VM-R027-10A 281 Input Listing ................................................................................................. 1997 D.52. VM-R027-10B 181 Input Listing ................................................................................................. 2000 Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

xvii

Mechanical APDL Verification Manual D.53. VM-R027-10B 182 Input Listing ................................................................................................. 2003 D.54. VM-R027-10B 183 Input Listing ................................................................................................. 2007 D.55. VM-R027-10B 281 Input Listing ................................................................................................. 2010 D.56. VM-R027-10C 181 Input Listing ................................................................................................. 2013 D.57. VM-R027-10C 182 Input Listing ................................................................................................. 2017 D.58. VM-R027-10C 183 Input Listing ................................................................................................. 2021 D.59. VM-R027-10C 281 Input Listing ................................................................................................. 2025 D.60. VM-R027-12B 181 Input Listing ................................................................................................. 2029 D.61. VM-R027-12B 182 Input Listing ................................................................................................. 2032 D.62. VM-R027-12B 183 Input Listing ................................................................................................. 2034 D.63. VM-R027-12B 281 Input Listing ................................................................................................. 2037 D.64. VM-R027-12C 181 Input Listing ................................................................................................. 2039 D.65. VM-R027-12C 182 Input Listing ................................................................................................. 2042 D.66. VM-R027-12C 183 Input Listing ................................................................................................. 2045 D.67. VM-R027-12C 281 Input Listing ................................................................................................. 2047 D.68. VM-R029-T1 181 Input Listing ................................................................................................... 2050 D.69. VM-R029-T1 185 Input Listing ................................................................................................... 2052 D.70. VM-R029-T1 188 Input Listing ................................................................................................... 2054 D.71. VM-R029-T1 189 Input Listing ................................................................................................... 2056 D.72. VM-R029-T1 190 Input Listing ................................................................................................... 2057 D.73. VM-R029-T1 281 Input Listing ................................................................................................... 2059 D.74. VM-R029-T4 181 Input Listing ................................................................................................... 2061 D.75. VM-R029-T4 185 Input Listing ................................................................................................... 2063 D.76. VM-R029-T4 188 Input Listing ................................................................................................... 2064 D.77. VM-R029-T4 189 Input Listing ................................................................................................... 2066 D.78. VM-R029-T4 190 Input Listing ................................................................................................... 2067 D.79. VM-R029-T4 281 Input Listing ................................................................................................... 2069 D.80. VM-R029-T5 185 Input Listing ................................................................................................... 2070 D.81. VM-R029-T5 188 Input Listing ................................................................................................... 2075 D.82. VM-R029-T5 189 Input Listing ................................................................................................... 2078 D.83. VM-R029-T5 190 Input Listing ................................................................................................... 2081 D.84. VM-R029-T7 181 Input Listing ................................................................................................... 2085 D.85. VM-R029-T7 185 Input Listing ................................................................................................... 2087 D.86. VM-R029-T7 190 Input Listing ................................................................................................... 2090 D.87. VM-R029-T7 281 Input Listing ................................................................................................... 2093 D.88. VM-R029-T9 181 Input Listing ................................................................................................... 2095 D.89. VM-R029-T9 185 Input Listing ................................................................................................... 2097 D.90. VM-R029-T9 190 Input Listing ................................................................................................... 2101 D.91. VM-R029-T9 281 Input Listing ................................................................................................... 2105 D.92. VMR031-T1 281 Input Listing ..................................................................................................... 2107 D.93. VMR031-T2 281 Input Listing ..................................................................................................... 2109 D.94. VMR031-T3 181 Input Listing ..................................................................................................... 2112 D.95. VMR031-T3 281 Input Listing ..................................................................................................... 2114 D.96. VMR038-2A 182 Input Listing .................................................................................................... 2116 D.97. VMR038-2A 183 Input Listing .................................................................................................... 2117 D.98. VMR038-2B 182 Input Listing .................................................................................................... 2119 D.99. VMR038-2B 183 Input Listing .................................................................................................... 2120 D.100. VMR038-2E 182 Input Listing ................................................................................................... 2122 D.101. VMR038-2g 182 Input Listing .................................................................................................. 2123 D.102. VMR038-3A 182 Input Listing .................................................................................................. 2125 D.103. VMR038-3A 183 Input Listing .................................................................................................. 2127 D.104. VMR038-4A 182 Input Listing .................................................................................................. 2129

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Mechanical APDL Verification Manual D.105. VMR038-4A 183 Input Listing .................................................................................................. 2131 D.106. VMLSB2-LE8 208 Input Listing ................................................................................................. 2133 D.107. VMLSB2-LE8 209 Input Listing ................................................................................................. 2134 D.108. VMLSB2-LE9 208 Input Listing ................................................................................................. 2135 D.109. VMLSB2-LE9 209 Input Listing ................................................................................................. 2136 D.110. VMLSB2-LE11 185 Input Listing ............................................................................................... 2138 D.111. VMLSB2-LE11 186 Input Listing ............................................................................................... 2139 D.112. VM-R049-1A 181 Input Listing ................................................................................................. 2141 D.113. VM-R049-1A 182 Input Listing ................................................................................................. 2144 D.114. VM-R049-1A 183 Input Listing ................................................................................................. 2148 D.115. VM-R049-1A 281 Input Listing ................................................................................................. 2152 D.116. VM-R049-1B 181 Input Listing ................................................................................................. 2155 D.117. VM-R049-1B 182 Input Listing ................................................................................................. 2158 D.118. VM-R049-1B 183 Input Listing ................................................................................................. 2160 D.119. VM-R049-1B 281 Input Listing ................................................................................................. 2162 D.120. VM-R049-1C 181 Input Listing ................................................................................................. 2165 D.121. VM-R049-1C 182 Input Listing ................................................................................................. 2167 D.122. VM-R049-1C 183 Input Listing ................................................................................................. 2168 D.123. VM-R049-1C 281 Input Listing ................................................................................................. 2171 D.124. VM-R049-2 181 Input Listing ................................................................................................... 2173 D.125. VM-R049-2 182 Input Listing ................................................................................................... 2177 D.126. VM-R049-2 183 Input Listing ................................................................................................... 2180 D.127. VM-R049-2 185 Input Listing ................................................................................................... 2183 D.128. VM-R049-2 187 Input Listing ................................................................................................... 2187 D.129. VM-R049-2 281 Input Listing ................................................................................................... 2190 D.130. VM-R049-3 181 Input Listing ................................................................................................... 2193 D.131. VM-R049-3 182 Input Listing ................................................................................................... 2197 D.132. VM-R049-3 183 Input Listing ................................................................................................... 2200 D.133. VM-R049-3 281 Input Listing ................................................................................................... 2204 D.134. VM-R049-4 182 Input Listing ................................................................................................... 2207 D.135. VM-R049-4 183 Input Listing ................................................................................................... 2211 D.136. VM-R049-5 185 Input Listing ................................................................................................... 2215 D.137. VM-R049-5 186 Input Listing ................................................................................................... 2218 D.138. VM-R049-5 187 Input Listing ................................................................................................... 2221 D.139. VM-R049-6 182 Input Listing ................................................................................................... 2224 D.140. VM-R049-6 183 Input Listing ................................................................................................... 2231 D.141. VM-R049-PL1A 182 Input Listing ............................................................................................. 2238 D.142. VM-R049-PL1A 183 Input Listing ............................................................................................. 2241 D.143. VM-R049-PL1B 182 Input Listing .............................................................................................. 2245 D.144. VM-R049-PL1B 183 Input Listing .............................................................................................. 2248 D.145. VM-R049-PL2A 181 Input Listing ............................................................................................. 2251 D.146. VM-R049-PL2A 182 Input Listing ............................................................................................. 2254 D.147. VM-R049-PL2A 183 Input Listing ............................................................................................. 2257 D.148. VM-R049-PL2A 281 Input Listing ............................................................................................. 2261 D.149. VM-R049-PL2B 181 Input Listing .............................................................................................. 2264 D.150. VM-R049-PL2B 182 Input Listing .............................................................................................. 2267 D.151. VM-R049-PL2B 281 Input Listing .............................................................................................. 2270 D.152. VM-R049-PL3A 185 Input Listing ............................................................................................. 2273 D.153. VM-R049-PL3A 186 Input Listing ............................................................................................. 2277 D.154. VM-R049-PL3A 187 Input Listing ............................................................................................. 2281 D.155. VM-R049-PL3B 185 Input Listing .............................................................................................. 2285 D.156. VM-R049-PL3B 186 Input Listing .............................................................................................. 2289 Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

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Mechanical APDL Verification Manual D.157. VM-R049-PL3B 187 Input Listing .............................................................................................. 2293 D.158. VM-R049-PL3B 190 Input Listing .............................................................................................. 2297 D.159. VM-R049-PL5A 182 Input Listing ............................................................................................. 2301 D.160. VM-R049-PL5A 183 Input Listing ............................................................................................. 2304 D.161. VM-R049-PL5B 182 Input Listing .............................................................................................. 2306 D.162. VM-R049-PL5B 183 Input Listing .............................................................................................. 2309 D.163. VM-R083-CA1 221 Input Listing ............................................................................................... 2312 D.164. VM-R083-CA2 221 Input Listing ............................................................................................... 2315 D.165. VMFEBSTA-LE1 181 Input Listing ............................................................................................. 2318 D.166. VMFEBSTA-LE5 181 Input Listing ............................................................................................. 2320 D.167. VMFEBSTA-LE5 281 Input Listing ............................................................................................. 2321 E. NRC Piping Benchmarks Input Listings ................................................................................................. 2325 E.1. vm-nr1677-1-1a-a Input Listing ................................................................................................... 2326 E.2. vm-nr1677-1-2a-a Input Listing ................................................................................................... 2336 E.3. vm-nr1677-1-3a-a Input Listing ................................................................................................... 2345 E.4. vm-nr1677-1-4a-a Input Listing ................................................................................................... 2356 E.5. vm-nr1677-1-5a-a Input Listing ................................................................................................... 2371 E.6. vm-nr1677-1-6a-a Input Listing ................................................................................................... 2384 E.7. vm-nr1677-1-7a-a Input Listing ................................................................................................... 2398 E.8. vm-nr1677-2-1a-a Input Listing ................................................................................................... 2412 E.9. vm-nr1677-2-1b-a Input Listing ................................................................................................... 2425 E.10. vm-nr1677-2-1c-a Input Listing .................................................................................................. 2439 E.11. vm-nr1677-2-2a-a Input Listing ................................................................................................. 2453 E.12. vm-nr1677-2-2b-a Input Listing ................................................................................................. 2466 E.13. vm-nr1677-2-2c-a Input Listing .................................................................................................. 2482 E.14. vm-nr1677-2-3a-a Input Listing ................................................................................................. 2498 E.15. vm-nr1677-2-3b-a Input Listing ................................................................................................. 2517 E.16. vm-nr1677-2-3c-a Input Listing .................................................................................................. 2544 E.17. vm-nr1677-2-4a-a Input Listing ................................................................................................. 2568 E.18. vm-nr1677-2-4c-a Input Listing .................................................................................................. 2594 E.19. vm-nr6645-1-1a-a Input Listing ................................................................................................. 2625 E.20. vm-nr6645-1-2a-a Input Listing ................................................................................................. 2634 E.21. vm-nr1677-01-1a Input Listing .................................................................................................. 2643 E.22. vm-nr1677-01-2a Input Listing .................................................................................................. 2648 E.23. vm-nr1677-01-3a Input Listing .................................................................................................. 2653 E.24. vm-nr1677-01-4a Input Listing .................................................................................................. 2661 E.25. vm-nr1677-01-5a Input Listing .................................................................................................. 2673 E.26. vm-nr1677-01-6a Input Listing .................................................................................................. 2683 E.27. vm-nr1677-01-7a Input Listing .................................................................................................. 2693 E.28. vm-nr1677-02-1a Input Listing .................................................................................................. 2705 E.29. vm-nr1677-02-1b Input Listing .................................................................................................. 2714 E.30. vm-nr1677-02-1c Input Listing ................................................................................................... 2724 E.31. vm-nr1677-02-2a Input Listing .................................................................................................. 2733 E.32. vm-nr1677-02-2b Input Listing .................................................................................................. 2741 E.33. vm-nr1677-02-2c Input Listing ................................................................................................... 2752 E.34. vm-nr1677-02-3a Input Listing .................................................................................................. 2763 E.35. vm-nr1677-02-3b Input Listing .................................................................................................. 2777 E.36. vm-nr1677-02-3c Input Listing ................................................................................................... 2798 E.37. vm-nr6645-01-1a Input Listing .................................................................................................. 2818 E.38. vm-nr6645-01-2a Input Listing .................................................................................................. 2827 E.39. vm-nr1677-02-4a Input Listing .................................................................................................. 2836 E.40. vm-nr1677-02-4c Input Listing ................................................................................................... 2866

xx


Mechanical APDL Verification Manual E.41. demonstration-problem1-290 Input Listing ............................................................................... 2899 E.42. demonstration-problem1-281 Input Listing ............................................................................... 2903 E.43. demonstration-problem1-18 Input Listing ................................................................................. 2907 E.44. demonstration-problem2-290 Input Listing ............................................................................... 2910 E.45. demonstration-problem2-281 Input Listing ............................................................................... 2913 E.46. demonstration-problem2-16-18 Input Listing ............................................................................ 2917 E.47. demonstration_problem3-289-290 Input Listing ........................................................................ 2921 E.48. demonstration-problem3-281 Input Listing ............................................................................... 2929 E.49. demonstration-problem3-16-18 Input Listing ............................................................................ 2942


xxi

xxii


List of Figures 1.1. Prismatic Bar Problem Sketch ................................................................................................................ 25 2.1. Beam with Cross Section Problem Sketch .............................................................................................. 27 2.2. Displaced Geometry Display ................................................................................................................. 28 3.1. Support Structure Problem Sketch ........................................................................................................ 29 4.1. Hinged Support Problem Sketch ........................................................................................................... 31 5.1. Cantilever Beam Problem Sketch ........................................................................................................... 33 5.2. Displacement Display ........................................................................................................................... 34 6.1. Pinched Cylinder Problem Sketch .......................................................................................................... 35 7.1. Pipe Assembly Problem Sketch ............................................................................................................. 37 7.2. Pipe Assembly Finite Element Models .................................................................................................... 38 8.1. Parametric Calculation Problem Sketch ................................................................................................. 41 9.1. Unequal Stiffness Springs Problem Sketch ............................................................................................. 43 10.1.Tee-Shaped Beam Problem Sketch ....................................................................................................... 45 11.1. Residual Stress Problem Sketch ........................................................................................................... 47 12.1. Combined Bending and Torsion Problem Sketch .................................................................................. 49 13.1. Cylindrical Shell Problem Sketch .......................................................................................................... 51 14.1. Slender Column Problem Sketch ......................................................................................................... 53 15.1. Flat Circular Plate Problem Sketch ....................................................................................................... 55 15.2. Displaced Geometry Displays .............................................................................................................. 57 16.1. Bending of a Solid Beam with Plane Elements Problem Sketch ............................................................. 59 17.1. Hinged Shell Problem Sketch .............................................................................................................. 61 17.2. Deflection and Total Load Plot ............................................................................................................. 63 18.1. Curved Bar Problem Sketch ................................................................................................................. 65 19.1. Simply-Supported Beam Problem Sketch ............................................................................................ 67 20.1. Cylindrical Membrane Problem Sketch ................................................................................................ 69 21.1.Tie Rod Problem Sketch ....................................................................................................................... 71 22.1. Belleville Spring Problem Sketch ......................................................................................................... 73 23.1. Contact Problem Sketch ...................................................................................................................... 75 24.1. Plastic Hinge Problem Sketch .............................................................................................................. 77 25.1. Long Cylinder Problem Sketch ............................................................................................................. 80 25.2. SZ Stresses Along a Section (Internal Pressure) ..................................................................................... 81 25.3. SX Stresses Along a Section (Internal Pressure) ..................................................................................... 82 26.1. Cantilever Problem Sketch .................................................................................................................. 83 27.1. Gap Problem Sketch ............................................................................................................................ 85 28.1. Infinite Slab Problem Sketch ................................................................................................................ 87 29.1. Support Block Problem Sketch ............................................................................................................ 89 30.1. Surface Fillet Problem Sketch .............................................................................................................. 91 30.2. Area Plot ............................................................................................................................................. 92 30.3. Element Plot ....................................................................................................................................... 93 31.1. Hanging Load Problem Sketch ............................................................................................................ 95 32.1. Long Cylinder Problem Sketch ............................................................................................................. 97 33.1. Cylinder Problem Sketch ................................................................................................................... 100 33.2. Outer-to-inner Surface Temperature Difference ................................................................................. 101 33.3. Tangential Stress as a Function of Time .............................................................................................. 102 34.1. Beam Problem Sketch ....................................................................................................................... 104 35.1. Cantilever Plate Problem Sketch ........................................................................................................ 107 36.1. Limit Moment Problem Sketch .......................................................................................................... 109 37.1. Solid Bar Problem Sketch ................................................................................................................... 111 37.2. Elongation of a Solid-Bar-Axial Stress Contour Display (SOLID45 Model) ............................................. 113 38.1. Thick-Walled Cylinder Problem Sketch ............................................................................................... 115 Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

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Mechanical APDL Verification Manual 39.1. Circular Plate Problem Sketch ............................................................................................................ 118 39.2. Window 1: UZ Displacement Contours; Window 2: Displaced Shape - Edge View ................................. 119 40.1. Beam Problem Sketch ....................................................................................................................... 121 40.2. Displacement of the Free End ............................................................................................................ 122 41.1. Rigid Beam Problem Sketch ............................................................................................................... 123 42.1. Barrel Vault Roof Problem Sketch ....................................................................................................... 125 43.1. Axisymmetric Thick Pipe Sketch Problem ........................................................................................... 127 43.2. Displacement Displays ...................................................................................................................... 128 44.1. Axisymmetric Thin Pipe Problem Sketch ............................................................................................ 129 44.2. Displacement Displays ...................................................................................................................... 130 45.1. Spring-mass System Problem Sketch ................................................................................................. 131 46.1. Two-Dimensional End Notched Flexure Problem Sketch ..................................................................... 133 47.1. Suspended Disk Problem Sketch ....................................................................................................... 135 48.1. Motor-Generator Problem Sketch ...................................................................................................... 137 49.1. Quadpole Wires Problem Sketch ........................................................................................................ 139 50.1. Simply Supported Beam Problem Sketch ........................................................................................... 141 51.1. Charged Spheres Problem Sketch ...................................................................................................... 143 51.2. Solid Model ...................................................................................................................................... 145 51.3. FEA Model with SOLID122 and INFIN111 Elements ............................................................................. 145 51.4. Electric Field Plot with SOLID122 and INFIN111 Elements ................................................................... 146 51.5. Voltage Plot with SOLID122 and INFIN111 Elements ........................................................................... 146 51.6. FEA Model with SOLID123 and INFIN111 Elements ............................................................................. 147 51.7. Electric Field Plot with SOLID123 and INFIN111 elements ................................................................... 147 51.8. Voltage Plot with SOLID123 and INFIN111 Elements ........................................................................... 148 52.1. Automobile Suspension Problem Sketch ........................................................................................... 149 53.1. String Under Tension Problem Sketch ................................................................................................ 151 54.1. Rotating Cantilever Blade .................................................................................................................. 153 56.1. Hyperelastic Thick Cylinder Problem Sketch ....................................................................................... 157 56.2. Hyperelastic Thick Cylinder Models .................................................................................................... 158 57.1. Drill Pipe Problem Sketch .................................................................................................................. 161 58.1. Heat Generating Wire Problem Sketch ............................................................................................... 163 59.1. Axially-Loaded Bar Problem Sketch .................................................................................................... 165 60.1. Laminated Spherical Shell Problem Sketch ......................................................................................... 167 61.1. Rod Problem Sketch .......................................................................................................................... 169 62.1. Wedge Vibration Problem Sketch ....................................................................................................... 172 63.1. Static Hertz Problem ......................................................................................................................... 175 64.1. Rigid Surface ..................................................................................................................................... 177 65.1. Ball Problem Sketch .......................................................................................................................... 179 65.2. Kinetic Energy, Velocity and Displacement vs. Time Display ................................................................. 180 66.1. Flat Plate Problem Sketch .................................................................................................................. 181 67.1. Ring Axisymmetric Problem Sketch ................................................................................................... 183 68.1. DOF Spring-mass System Problem Sketch .......................................................................................... 185 69.1. Seismic Response Problem Sketch ..................................................................................................... 187 70.1. Beam Structure Problem Sketch ........................................................................................................ 189 71.1. Spring-Mass-Damper System Problem Sketch .................................................................................... 192 71.2. Displacement vs. Time Display ........................................................................................................... 193 72.1. Logarithmic Decrement Problem Sketch ............................................................................................ 195 72.2. Displacement vs. Time Display ........................................................................................................... 197 73.1. Free Vibration Problem Sketch ........................................................................................................... 199 73.2. Displacement vs. Time Display ........................................................................................................... 200 73.3. Sliding Force vs. Time Display ............................................................................................................ 201 74.1. Impulsive Excitation Problem Sketch ................................................................................................. 203

xxiv


Mechanical APDL Verification Manual 75.1. Step Excitation Problem Sketch ......................................................................................................... 205 75.2. Displacement vs. Time Display ........................................................................................................... 206 76.1. Guitar String Problem Sketch ............................................................................................................. 207 76.2. String Midpoint Displacement Amplitude .......................................................................................... 208 77.1. Constant Force Problem Sketch ......................................................................................................... 209 78.1. Cantilever Beam Problem Sketch ....................................................................................................... 211 79.1. Bilinear Spring Assembly Problem Sketch .......................................................................................... 213 80.1. Plastic Response Problem Sketch ....................................................................................................... 215 80.2. Displacement vs. Time Display ........................................................................................................... 217 81.1. Drop Container Problem Sketch ........................................................................................................ 219 82.1. Simply Supported Laminated Plate Problem Sketch ........................................................................... 221 83.1. Spring Scale Problem Sketch ............................................................................................................. 223 83.2. Displacements of Block and Pan ........................................................................................................ 225 84.1. Bar with Free Ends Problem Sketch .................................................................................................... 227 84.2. Displacement vs. Time Graph ............................................................................................................. 228 84.3. Velocity vs. Time Graph ...................................................................................................................... 229 85.1. Moving Bar Problem Sketch ............................................................................................................... 232 85.2. Displacements at Center and Ends of Bar ........................................................................................... 234 85.3. Velocities at Center and Ends of Bar ................................................................................................... 235 86.1. Dynamic System Problem Sketch ...................................................................................................... 237 87.1. Structural Damping Problem Sketch .................................................................................................. 239 88.1. Eccentric Weight Exciter Problem Sketch ............................................................................................ 241 89.1. Two-mass-spring System Problem Sketch .......................................................................................... 243 90.1. Two-Mass-Spring System Problem Sketch .......................................................................................... 245 90.2. Amplitude vs. Frequency ................................................................................................................... 246 91.1. Pendulum Swing Problem Sketch ...................................................................................................... 247 91.2. Pendulum Swing ............................................................................................................................... 249 92.1. Insulated Wall Temperature Problem Sketch ...................................................................................... 251 93.1. Conductivity Problem Sketch ............................................................................................................ 253 94.1. Plate Problem Sketch ........................................................................................................................ 255 95.1. Cooling Spine Problem Sketch ........................................................................................................... 257 96.1. Short, Solid Cylinder Problem Sketch ................................................................................................. 259 96.2. Temperature Isosurface Display with Annotation ............................................................................... 260 97.1. Straight Fin Problem Sketch .............................................................................................................. 261 98.1. Tapered Fin Problem Sketch .............................................................................................................. 264 99.1. Trapezoidal Fin Problem Sketch ......................................................................................................... 267 100.1. Heat Conduction Across a Chimney Section Problem Sketch ............................................................ 269 100.2. Temperature Contour Display .......................................................................................................... 270 101.1. Short Solid Cylinder Problem Sketch ................................................................................................ 271 101.2. Temperature Contour Display .......................................................................................................... 272 102.1. Cylinder Problem Sketch ................................................................................................................. 274 103.1. Thin Plate Problem Sketch ............................................................................................................... 277 104.1. Liquid-Solid Phase Change Problem Sketch ..................................................................................... 279 104.2. Enthalpy vs. Temperature ................................................................................................................. 280 104.3. Temperature Distribution at Time = 501 Seconds ............................................................................. 281 104.4. Temperature History of Solidification ............................................................................................... 281 105.1. Heat Generating Coil Problem Sketch .............................................................................................. 284 105.2. Variation of Temperature in the Radial Direction ............................................................................... 285 106.1. Radiant Energy Emission Problem Sketch ......................................................................................... 287 107.1. Thermocouple Radiation Problem Sketch ........................................................................................ 289 108.1. Solid Cylinder Problem Sketch ......................................................................................................... 291 109.1. Cooled Copper Wire Problem Sketch ............................................................................................... 293 Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

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Mechanical APDL Verification Manual 109.2. Temperature vs. Time Display ........................................................................................................... 294 110.1. Slab Problem Sketch ........................................................................................................................ 295 111.1. Spherical Body Problem Sketch ....................................................................................................... 297 112.1. Spherical Body Problem Sketch ....................................................................................................... 299 113.1. Orthotropic Metal Bar Problem Sketch ............................................................................................. 302 114.1. Linearly-rising Surface Temperature Problem Sketch ........................................................................ 305 114.2. Temperature vs. Time Plot ................................................................................................................ 306 115.1. Heat-Generating Slab Problem Sketch ............................................................................................. 307 116.1. Heat Conducting Plate Problem Sketch ............................................................................................ 309 116.2. Surface Temperature History Plot ..................................................................................................... 310 116.3. Temperature Distribution Across Thickness Plot ............................................................................... 311 117.1. Electric Current Problem Sketch ....................................................................................................... 313 118.1. Heat-generating Wire Problem Sketch ............................................................................................. 315 119.1. Electrical Wire Problem Sketch ......................................................................................................... 317 120.1. Microstrip Transmission Line Problem Sketch ................................................................................... 319 121.1. Finite Element Mesh of the Coil and Plate ........................................................................................ 322 121.2. Current Density in the Coil ............................................................................................................... 322 121.3. Current Density in the Plate ............................................................................................................. 323 121.4. Coil Current vs. Time ....................................................................................................................... 323 122.1. Turbulent Flowing Fluid Problem Sketch .......................................................................................... 325 123.1. Laminar Flow Problem Sketch .......................................................................................................... 327 125.1. Concentric Cylinders Problem Sketch ............................................................................................... 331 126.1. Flowing Fluid Problem Sketch .......................................................................................................... 333 127.1. Buckling Bar Problem Sketch ........................................................................................................... 335 128.1. Buckling Bar Problem Sketch ........................................................................................................... 337 129.1. Numerical Differentiation and Integration ........................................................................................ 339 130.1. Saw Tooth Wave Problem Sketch ..................................................................................................... 341 130.2. Fourier Display ................................................................................................................................ 342 131.1. Rotating Crane Boom Problem Sketch ............................................................................................. 343 132.1. Tightened Bolt Problem Sketch ........................................................................................................ 345 133.1. Rod Motion Problem Sketch ............................................................................................................ 347 134.1. Clamped I-Beam Problem Sketch ..................................................................................................... 349 135.1. Beam Problem Sketch ..................................................................................................................... 351 136.1. Buckled Bar Problem Sketch ............................................................................................................ 353 136.2. Deformed Shapes at Various Loads .................................................................................................. 355 137.1. Circular Membrane Problem Sketch ................................................................................................. 357 138.1. Circular Plate Problem Sketch .......................................................................................................... 359 139.1. Rectangular Plate Problem Sketch ................................................................................................... 361 140.1. Shaft Problem Sketch ...................................................................................................................... 363 141.1. Disk Problem Sketch ........................................................................................................................ 365 142.1. Plate Problem Sketch ...................................................................................................................... 367 142.2. Stress Concentration in Coarse Model .............................................................................................. 368 142.3. Stress Concentration in Fine Model .................................................................................................. 369 143.1. Finite Width Plate Problem Sketch ................................................................................................... 371 144.1. Composite Beam Problem Sketch .................................................................................................... 373 145.1. Orthotropic Solid Problem Sketch .................................................................................................... 378 146.1. Reinforced Concrete Beam Problem Sketch ...................................................................................... 381 147.1. Gray-Body Radiation Problem Sketch ............................................................................................... 383 148.1. Parabolic Beam Problem Sketch ....................................................................................................... 385 149.1. Spring-Mass Model ......................................................................................................................... 387 149.2. Displacement Amplitude and Spring Force Amplitude Versus Frequency for Case 1 .......................... 389 149.3. Displacement Amplitude and Spring Force Amplitude Versus Frequency for Case 2 .......................... 389

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Mechanical APDL Verification Manual 150.1. Fluid Tank Problem Sketch ............................................................................................................... 391 150.2. Concentration in Plate over Time ..................................................................................................... 393 150.3. Moisture Weight Gain over Time ...................................................................................................... 393 151.1. Circular Plate Problem Sketch .......................................................................................................... 395 151.2. Mode Shape Displays ...................................................................................................................... 396 152.1. Circular Membrane Problem Sketch ................................................................................................. 397 152.2. Mode Shape Displays ...................................................................................................................... 398 153.1. Circular Membrane Problem Sketch ................................................................................................. 399 154.1. Fluid Coupling Problem Sketch ........................................................................................................ 401 155.1. Uniaxial Loading Problem Sketch ..................................................................................................... 403 155.2. Loading history ............................................................................................................................... 404 156.1. Nonlinear Spring-Mass System Problem Sketch ................................................................................ 406 158.1. Buoy Problem Sketch ...................................................................................................................... 411 158.2. Displacement vs. Time Display ......................................................................................................... 412 159.1. Temperature-controlled Heater Problem Sketch ............................................................................... 413 159.2. Box Temperature vs. Time ................................................................................................................ 414 159.3. Control Status vs.Time ..................................................................................................................... 415 160.1. Solid Cylinder Problem Sketch ......................................................................................................... 417 161.1. Insulated Pipe Problem Sketch ........................................................................................................ 419 162.1. Circular Fin Problem Sketch ............................................................................................................. 421 163.1. Groundwater Seepage Problem Sketch ............................................................................................ 423 163.2. Pressure Contours ........................................................................................................................... 424 163.3. Flow Gradients ................................................................................................................................ 425 164.1. Wooden Slab Problem Sketch .......................................................................................................... 427 165.1. Current-Carrying Ferromagnetic Conductor Problem Sketch ............................................................ 429 165.2. B-H Curve using PLANE13 elements ................................................................................................. 431 165.3. NU-B2 Curve using PLANE13 elements ............................................................................................. 431 165.4. B-H Curve using PLANE233 elements ............................................................................................... 432 165.5. NU-B2 Curve using PLANE233 elements ........................................................................................... 433 166.1. Long Cylinder Problem Sketch ......................................................................................................... 435 167.1. Semi-Infinite Solid Transient Eddy Currents Problem Sketch ............................................................. 437 167.2. Vector Potential vs. Time Plot using PLANE13 Elements .................................................................... 439 167.3. Eddy Current Density vs. Time Plot using PLANE13 Elements ............................................................ 439 167.4. Vector Potential vs.Time Plot using PLANE233 Elements ................................................................... 440 168.1. Magnetic Field Problem Sketch ........................................................................................................ 441 168.2. Axial Magnetic Field through Solenoid ............................................................................................ 442 169.1. Magnetic Circuit with Air Gap Problem Sketch ................................................................................. 443 169.2. Vector Display of Magnetic Flux Density ........................................................................................... 445 169.3. Vector Display of Magnetic Field Intensity ........................................................................................ 445 170.1. Square Current Loop Problem Sketch .............................................................................................. 447 171.1. Permanent Magnet Circuit Problem Sketch ...................................................................................... 449 171.2. Displaced Geometry Display ............................................................................................................ 451 172.1. Isotropic Solenoid Problem Sketch .................................................................................................. 453 172.2. 2-D Circumferential Stress through Solenoid Windings ..................................................................... 455 172.3. 2-D Axial Flux Density through Solenoid Windings ........................................................................... 455 173.1. Electrical Wire Problem Sketch ......................................................................................................... 457 174.1. Bimetallic Beam Problem Sketch ...................................................................................................... 459 174.2. Bimetallic Beam Under Thermal Load ............................................................................................... 460 175.1. Piezoelectric Transducer Problem Sketch ........................................................................................ 461 175.2. Short Circuit Case, Plot 3: First Breathing Mode using SOLID5 Elements ............................................ 463 175.3. Short Circuit Case, Plot 6: Second Breathing Mode using SOLID5 Elements ....................................... 464 175.4. Open Circuit Case, Plot 15: First Breathing Mode using SOLID5 Elements .......................................... 464 Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

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Mechanical APDL Verification Manual 175.5. Open Circuit Case, Plot 19: Second Breathing Mode using SOLID5 Elements ..................................... 465 175.6. Open Circuit Case, Plot 23: Second Breathing Mode using SOLID226 Elements ................................. 465 175.7. Open Circuit Case, Plot 26: Second Breathing Mode using SOLID226 Elements ................................. 466 175.8. Open Circuit Case, Plot 35: Second Breathing Mode using SOLID226 Elements ................................. 466 175.9. Open Circuit Case, Plot 39: Second Breathing Mode using SOLID226 Elements ................................. 467 176.1. Piezoelectric Transducer Problem Sketch ......................................................................................... 469 176.2. Electrical Input Admittance vs. Frequency using SOLID5 and SOLID226 Elements ............................. 471 177.1. Submerged Ring Problem Sketch .................................................................................................... 474 177.2. Node 1 Displacement vs. Driving Frequency Near 1st Bending Mode Natural Frequency (Full Harmonic Analysis) ................................................................................................................................................... 476 177.3. Real Displacement Component obtained from Case 1 (FLUID30 and SHELL63 Elements) ................... 476 177.4. Imaginary Displacement Component obtained from Case 1 (FLUID30 and SHELL63 Elements) .......... 477 178.1. 2-D End Notched Flexure Problem Sketch ........................................................................................ 479 179.1. Jointed Beam Problem Sketch ......................................................................................................... 481 180.1. Curved Beam Problem Sketch .......................................................................................................... 483 181.1. Flat Circular Plate Problem Sketch .................................................................................................... 485 182.1. Spring-mass System Problem Sketch ............................................................................................... 487 182.2. POST26 Displacement Display ......................................................................................................... 488 183.1. Spring-mass System Problem Sketch ............................................................................................... 489 183.2. Displacement vs. Frequency ............................................................................................................ 490 184.1. Straight Cantilever Beam Problem Sketch ........................................................................................ 491 184.2. Element Display .............................................................................................................................. 492 184.3. Clipped and Capped Display of Stress Contours ............................................................................... 493 185.1. Slot Embedded Conductor Problem Sketch ..................................................................................... 495 185.2. Flux Lines using PLANE13 Elements ................................................................................................. 497 185.3. Total Current Density using PLANE13 Elements ................................................................................ 497 185.4. Eddy Current Density using PLANE13 Elements ................................................................................ 498 185.5. Eddy Current Density using PLANE233 Elements .............................................................................. 498 186.1. Slot Embedded Conductor Problem Sketch ..................................................................................... 499 186.2. Eddy, Source and Total Current using PLANE13 Elements .................................................................. 501 186.3. Total Current using PLANE233 Elements .......................................................................................... 501 187.1. Bending of a Curved Beam Problem Sketch ..................................................................................... 503 188.1. Current Carrying Conductor Problem Sketch .................................................................................... 505 188.2. Magnetic Flux Lines Near Conductor using PLANE53 elements ......................................................... 507 189.1. Uniaxial Loading Problem Sketch ..................................................................................................... 509 189.2. Time History of Displacement Loadings ........................................................................................... 510 190.1. Ferromagnetic Inductor Problem Sketch .......................................................................................... 513 190.2. Magnetic Flux Density ..................................................................................................................... 514 191.1. Hertz Contact Between Two Cylinders Problem Sketch ..................................................................... 515 192.1. Cooling of a Billet by Radiation Problem Sketch ............................................................................... 517 193.1. 2–D Heat Transfer with Convection Problem Sketch ......................................................................... 519 193.2. Temperature Contour Plot ............................................................................................................... 520 194.1. Fixed Bar with Thermal Loading Problem Sketch .............................................................................. 521 195.1. Toggle Mechanism Problem Sketch ................................................................................................. 523 196.1. Counter-Balanced Loads on a Block Problem Sketch ........................................................................ 525 197.1. Thick-Walled Cylinder Problem Sketch ............................................................................................. 527 198.1. Large Strain In-plane Problem Sketch .............................................................................................. 529 198.2. Typical Element Deformation Display Using PLANE182 Elements ...................................................... 531 198.3. Typical Stress vs. Rotation Display Using PLANE182 Elements ........................................................... 532 199.1. Shear Deformation Problem Sketch ................................................................................................. 533 200.1. Viscoelastic Sandwich Seal Problem Sketch ...................................................................................... 535 200.2. In-plane Stress Versus Temperature .................................................................................................. 537

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Mechanical APDL Verification Manual 201.1. Rubber Cylinder Problem Sketch ..................................................................................................... 539 201.2. Displaced Shape ............................................................................................................................. 541 201.3. Force vs. Displacement .................................................................................................................... 542 202.1. Shear Beam Problem Sketch ............................................................................................................ 543 202.2. Mode Shape 1 (f = 18.62 Hz) ............................................................................................................ 544 202.3. Mode Shape 2 (f = 55.15 Hz) ............................................................................................................ 545 203.1. Thick Square Plate Problem Sketch .................................................................................................. 547 203.2. Harmonic Response to Uniform PSD Force ....................................................................................... 548 204.1. Axial Bearing Problem Sketch .......................................................................................................... 549 204.2. Solid Model of an Axial Bearing ....................................................................................................... 550 205.1. Elliptic Membrane Problem Sketch .................................................................................................. 551 205.2. Final PLANE182 Mesh (SEPC = 5.5) ................................................................................................... 553 205.3. Final PLANE183 Mesh (SEPC = 0.1) ................................................................................................... 553 206.1. Stranded Coil Problem Sketch ......................................................................................................... 555 207.1. Stranded Coil Problem Sketch ......................................................................................................... 557 207.2. Current vs.Time using PLANE53 and PLANE233 Elements ................................................................. 559 208.1. RL Circuit Problem Sketch ................................................................................................................ 561 209.1. Multiple Species Flow Problem Sketch ............................................................................................. 563 209.2. Finite Element Model of Problem ..................................................................................................... 565 209.3. Results Using GAS Option ................................................................................................................ 567 209.4. Results Using PVDATA Option .......................................................................................................... 568 210.1.Tetrahedron to Hexahedron Interface Problem Sketch ...................................................................... 569 210.2. Bending of Hex-to-tet Interface ....................................................................................................... 571 211.1. Rubber Cylinder Problem Sketch ..................................................................................................... 573 211.2. Displaced Shape ............................................................................................................................. 575 211.3. Force vs. Displacement .................................................................................................................... 576 212.1. Schematic Representation of 2-DOF System (Foundation System) .................................................... 578 212.2. Finite Element Representation of 2-DOF System (Foundation System) .............................................. 578 213.1. Schematic Drawing of a Transformer ................................................................................................ 581 213.2. Finite Element Model ...................................................................................................................... 582 213.3. Harmonic Analysis of a Coaxial Cable ............................................................................................... 583 214.1. Rotating Rod Surrounded by an Air Box ........................................................................................... 585 214.2. Finite Element Mesh of a Rod ........................................................................................................... 586 214.3. Uniform Magnetic Field ................................................................................................................... 587 214.4. Electric Potential Distribution in the Rod .......................................................................................... 588 215.1. Hemispherical Shell Problem Sketch ................................................................................................ 589 216.1. Right Angle Frame Problem Sketch .................................................................................................. 591 216.2. Displacement Tip vs. Applied End Force (Fx) using BEAM188 elements ............................................. 592 216.3. Displacement Tip vs. Applied End Force (Fx) using BEAM189 elements ............................................. 593 217.1. Portal Frame Problem Sketch ........................................................................................................... 595 217.2. I-Section ......................................................................................................................................... 596 217.3. I-Section Under Symmetric Loading ................................................................................................. 597 217.4. Moment Diagram ............................................................................................................................ 597 217.5. Displaced Shape (front view) ........................................................................................................... 598 218.1. Hyperelastic Circular Plate Project Sketch ......................................................................................... 599 218.2. Results Plot 1 - UZ vs. Thickness ....................................................................................................... 601 218.3. Results Plot 2 - UZ vs. Pressure ......................................................................................................... 601 218.4. Results Plot 3 - Displaced Shape ....................................................................................................... 602 219.1. Element Plot ................................................................................................................................... 603 220.1. Thick Steel Plate Problem Sketch and Finite Element Model .............................................................. 605 220.2. B-H Curve ........................................................................................................................................ 607 221.1. Uniaxial Loading Problem Sketch ..................................................................................................... 609 Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

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Mechanical APDL Verification Manual 222.1. Warping Torsion Bar Problem Sketch ................................................................................................ 611 222.2. I-Beam Section Plot ......................................................................................................................... 612 222.3. Warping Torsion Bar Plot .................................................................................................................. 613 222.4. Warping Torsion Bar Plot .................................................................................................................. 613 223.1. Electro-Thermal Microactuator Sketch ............................................................................................. 615 223.2. Displacement Magnitude Plot ......................................................................................................... 617 223.3.Temperature Plot ............................................................................................................................. 617 224.1. Implicit Creep Under Biaxial Load Problem Sketch ............................................................................ 619 224.2. Creep Strain .................................................................................................................................... 621 225.1. Finite Element Model ...................................................................................................................... 623 226.1. Diode Rectified Circuit Problem Sketch ............................................................................................ 625 226.2. Output Voltage with No Capacitance ............................................................................................... 627 226.3. Plot of Fourier Series Without Capacitance ....................................................................................... 627 226.4. Resistor, Capacitor, Diode and Voltage Source ................................................................................... 628 226.5. VLOAD with Capacitance of 1E-6F .................................................................................................... 630 226.6. Plot of Fourier Series With Capacitance ............................................................................................ 631 226.7. VLOAD With Capacitance of 10E-6F .................................................................................................. 631 227.1. Problem sketch of finite co-axial cylinder ........................................................................................ 633 227.2. Problem Sketch ............................................................................................................................... 634 228.1. Finite Element Model of Problem using Triangular Thermal Solid Elements (PLANE35) ...................... 635 229.1. Finite element model of sliding block .............................................................................................. 639 229.2. Temperature Change for Sliding Block with Friction ......................................................................... 641 230.1. Distribution of Input Variable ........................................................................................................... 643 230.2. Cumulative Distribution Function (Probability vs. Log Y) ................................................................... 645 231.1. Piezoelectric Strip Problem Sketch ................................................................................................... 647 232.1. Distribution of Input Variable XW ...................................................................................................... 649 232.2. Distribution of Input Variable XE ....................................................................................................... 650 232.3. Response Surface plot ..................................................................................................................... 652 233.1. B-H Curve ........................................................................................................................................ 654 233.2. Finite Element Model ...................................................................................................................... 655 234.1. Rubber Block Model ........................................................................................................................ 657 234.2. Stress Evolution Over Time .............................................................................................................. 658 235.1. Element Plot ................................................................................................................................... 659 235.2. Mode Shape 1 ................................................................................................................................. 660 235.3. Mode Shape 2 ................................................................................................................................. 660 235.4. Mode Shape 3 ................................................................................................................................. 661 236.1. Beam Under Electrostatic Load ........................................................................................................ 663 237.1. Problem Sketch ............................................................................................................................... 665 237.2. Finite Element Model of a Transducer .............................................................................................. 667 238.1. Piezoresistors on a Beam Problem Sketch ........................................................................................ 669 238.2. Wheatstone Bridge Arrangement of Piezoresistors ........................................................................... 670 239.1. Shaft-driven Slider-Crank Mechanism .............................................................................................. 673 239.2. Relationship of Rotations at "a" and "c" ............................................................................................ 675 239.3. Relationship of Rotations at "a" and "d" ............................................................................................ 675 240.1. Thermal Expansion of Composite Bar ............................................................................................... 677 240.2. Stress Results in Composite Material ................................................................................................ 678 241.1. B-H Curve ........................................................................................................................................ 680 241.2. Finite Element Model with SOLID232 and SOLID237 Elements .......................................................... 681 241.3. Current Density in the Coil with SOLID232 and SOLID237 Elements .................................................. 681 241.4. Magnetic Field Flux Density with SOLID232 and SOLID237 Elements ................................................ 682 241.5. Current Density in the Coil with SOLID231 and SOLID236 Elements .................................................. 682 241.6. Magnetic Flux Density with SOLID231 and SOLID236 Elements ........................................................ 683

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Mechanical APDL Verification Manual 242.1. Absorption Coefficient vs. Frequency ............................................................................................... 686 243.1. Cantilever Beam with Triangular Loading ......................................................................................... 687 244.1. An Annular Plate ............................................................................................................................. 689 VM245.1. Problem sketch of rectangular plate ........................................................................................... 691 246.1. Hollow Cylindrical Cantilever Beam and Loading .............................................................................. 693 246.2. Beam Cross-Section ........................................................................................................................ 693 247.1. Rotor-bearing Configuration ........................................................................................................... 695 247.2. Isometric View of the Rotor Bearing System ..................................................................................... 696 248.1. Double Cantilever Beam Sketch ....................................................................................................... 699 248.2. Representative Finite Element Model Using PLANE182 and INTER202 elements ................................ 699 249.1. Gasket Finite Element Model Geometry Sketch ................................................................................ 703 249.2. Representative Finite Element Model ............................................................................................... 704 250.1. Gasket Finite Element Model Geometry Sketch ................................................................................ 707 250.2. Representative Finite Element Model ............................................................................................... 708 251.1. Shape Memory Alloy under Uniaxial Load Problem Sketch ............................................................... 711 252.1. Representative Finite Element Model ............................................................................................... 713 252.2. Material Behavior of Specimen ........................................................................................................ 714 253.1. Representative Finite Element Model ............................................................................................... 717 253.2. Material Behavior of Specimen ........................................................................................................ 718 254.1. Rotor-Bearing Configuration ............................................................................................................ 721 254.2. Isometric View of the Rotor-Bearing System ..................................................................................... 722 255.1. Double Cantilever Beam Sketch ....................................................................................................... 725 256.1. Finite Width Plate Problem Sketch ................................................................................................... 727 257.1. Swing comprising two rigid links and a beam with midspan mass .................................................... 729 257.2. Triangular-Pulse Loading ................................................................................................................. 730 257.3. Predicted Time Histories for Displacement Components of Point B ................................................... 731 257.4. Calculated Time History of Axial Force at Point B .............................................................................. 732 258.1. Spin-up Maneuver Problem Model .................................................................................................. 734 258.2. Rotation Angle Versus Time ............................................................................................................. 734 258.3. Predicted Time History for Axial Displacement of Beam Tip .............................................................. 735 258.4. Predicted Time History for Transverse Displacement of Beam Tip ...................................................... 735 258.5. Predicted Time History for Rotation of Beam Tip Relative to Base ...................................................... 736 259.1. Missing Mass with Rigid Response for BM3 Piping Model ................................................................. 738 259.2. Frequency Vs Spectrum Value .......................................................................................................... 740 260.1. Problem Sketch ............................................................................................................................... 743 260.2. Two-Dimensional Consolidation Pore-Pressure Problem -- Representative Finite Element Model ....... 744 260.3. Evolution of Excess Pore Water Pressure with Respect to Depth ........................................................ 745 260.4. Evolution of Excess Pore Water Pressure with Respect to Time .......................................................... 747 261.1. Rotating Beam With Internal Viscous Damping ................................................................................. 749 262.1. Two-Dimensional Fractural Problem Sketch ..................................................................................... 753 263.1. Isometric view of rotor-bearing system without /ESHAPE (2D element plot) ..................................... 755 263.2. Isometric view of rotor-bearing system with /ESHAPE ..................................................................... 756 264.1. Problem Sketch ............................................................................................................................... 759 264.2. Pore pressure contour plot along the depth using CPT213 element .................................................. 762 265.1. Problem Sketch ............................................................................................................................... 763 265.2. Time history of contact surface displacement .................................................................................. 764 265.3. Time history of contact surface velocity .......................................................................................... 764 265.4. Time history of normal contact force ................................................................................................ 765 265.5. Time history of kinetic energy, strain energy and total energy ........................................................... 765 266.1. Front view and lateral view of the crossing beams ........................................................................... 768 266.2. Geometry and properties of the cross sections ................................................................................. 769 267.1. Problem sketch for 2-D inclined crack .............................................................................................. 771 Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

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Mechanical APDL Verification Manual 267.2. Finite element model of 2D inclined crack ........................................................................................ 772 268.1. Problem sketch ............................................................................................................................... 773 268.2. Variation of axial stresses with stretch λ in one loading cycle ........................................................... 774 269.1. Problem sketch ............................................................................................................................... 775 270.1. Coil and Magnet Configuration ........................................................................................................ 777 270.2. Flux Lines ........................................................................................................................................ 779 271.1. Problem Sketch ............................................................................................................................... 782 272.1. Hertzian Contact Problem Sketch .................................................................................................... 785 272.2. Load History Diagram ...................................................................................................................... 786 272.3. Plot of the First Case ........................................................................................................................ 787 272.4. Plot of the Second Case ................................................................................................................... 787 273.1. Uniaxial Loading Problem Sketch ..................................................................................................... 789 274.1. Stabilizing Squeal Damping Problem Sketch .................................................................................... 791 275.1. Stabilizing Squeal Damping Problem Sketch .................................................................................... 793 276.1. Plate with Constant Diffusion Flux Sketch ........................................................................................ 795 276.2. Concentration in Plate over Time ..................................................................................................... 797 276.3. Moisture Weight Gain over Time ...................................................................................................... 797 277.1. Hall Plate in a Uniform Magnetic Field Element Plot .......................................................................... 799 277.2. Vector Plot of Applied Magnetic Field on Hall Plate ........................................................................... 801 277.3. Electric Potential Distributions in the Hall Plate ................................................................................ 802 278.1. Pipe on Ground Problem Sketch ...................................................................................................... 803 279.1. Two-Dimensional Fractural Problem Sketch ..................................................................................... 805 280.1. Pipe Carrying Steam with Insulation Layers Problem Sketch, One-Quarter Cross-Section ................... 807 281.1. Problem Sketch of a Rotating Plate .................................................................................................. 811 282.1. Schematic Representation of a Spring-Mass Damper System Coupled to a Compressible Fluid Column in a Tube ................................................................................................................................................... 813 282.2. Finite Element Representation of a Spring-Mass Damper System Coupled to a Compressible Fluid Column in a Tube ...................................................................................................................................... 814 282.3. Piston Displacement Response ........................................................................................................ 816 282.4. Fluid Pressure Response at Mid-Column ........................................................................................... 817 283.1. Double Wall Configuration and Finite Element Model ....................................................................... 819 283.2.Transmission Loss Versus Frequency for the Double Wall Configuration Obtained from Mechanical APDL ........................................................................................................................................................ 822 C1.1. Built-in Plate Problem Sketch ............................................................................................................ 831 C1.2. Representative Mesh Options ............................................................................................................ 832 C2.1. Elliptic Membrane Problem Sketch .................................................................................................... 835 C2.2. Representative Mesh Options ............................................................................................................ 836 C3.1. Barrel Vault Roof Problem Sketch ....................................................................................................... 839 C3.2. Representative Mesh Options ............................................................................................................ 840 C4.1. Thin Annular Plate Problem Sketch .................................................................................................... 843 C4.2. Representative Mesh Options ............................................................................................................ 844 C5.1. Solid Square Plate Problem Sketch .................................................................................................... 847 C5.2. Representative Mesh Options ............................................................................................................ 848 C5.3. Graphical Results - Mode Shapes ....................................................................................................... 848 C6.1. 2-D Rectangular Body Problem Sketch .............................................................................................. 851 C6.2. Representative Mesh Options ............................................................................................................ 852 C7.1. Semi-Infinite Solid Problem Sketch .................................................................................................... 855 C8.1. Aluminum Bar Problem Sketch .......................................................................................................... 859 C8.2. Deformed Shape ............................................................................................................................... 861 C8.3. Time History Graphs .......................................................................................................................... 861 D1.1. Straight Cantilever Beam Problem Sketch .......................................................................................... 863 D2.1. Cylindrical Shell Roof Problem Sketch ............................................................................................... 867

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Mechanical APDL Verification Manual D3.1. Free-Free Solid Beam Problem Sketch ............................................................................................... 871 E1.1. Response of Spring-Mass System Problem Sketch .............................................................................. 879 E2.1. Drop Analysis Of A Block Onto A Spring Scale Problem Sketch and Finite Element Model .................... 881 E3.1. Response of Spring-Mass-Damper System ......................................................................................... 883 E5.1. Pinned Bar Under Gravity Loading Problem Sketch ............................................................................ 889 E6.1. Projectile with Air Resistance Problem Sketch .................................................................................... 893 E6.2. Displacement of Projectile Over Time ................................................................................................ 895 LSB2-LE8.1. Problem sketch ....................................................................................................................... 905 LSB2-LE9.1. Problem sketch ....................................................................................................................... 907 LSB2-LE11.1. Problem sketch ..................................................................................................................... 909 1.1. Nodal Equivalent Stress Plot Obtained from PIPE18 Elements ............................................................. 1027 1.2. Nodal Equivalent Stress Plot Obtained from ELBOW290 Elements ...................................................... 1028 1.3. Nodal Equivalent Stress Plot Obtained from SHELL281 Elements ........................................................ 1028 1.4. Nodal Equivalent Stress Plot Obtained from PIPE16 and PIPE18 Elements ........................................... 1030 1.5. Nodal Equivalent Stress Plot Obtained from ELBOW290 Elements ...................................................... 1030 1.6. Nodal Equivalent Stress Plot Obtained from SHELL281 Elements ........................................................ 1031 1.7. Nodal Equivalent Stress Plot from PIPE16/PIPE18 Elements ................................................................ 1033 1.8. Nodal Equivalent Stress Plot from PIPE289/ELBOW290 Elements ........................................................ 1033 1.9. Nodal Equivalent Stress Plot from SHELL281 Elements ....................................................................... 1034 VM-NR1677-01-1-a.1. FE Model of Benchmark Problem ............................................................................ 1037 VM-NR1677-01-2-a.1. FE model of the Benchmark Problem ...................................................................... 1041 VM-NR1677-01-3-a.1. FE Model of the Benchmark Problem ...................................................................... 1045 VM-NR1677-01-4-a.1. FE Model of the Benchmark Problem ...................................................................... 1049 VM-NR1677-01-5-a.1. FE Model of the Benchmark Problem ...................................................................... 1055 VM-NR1677-01-6-a.1. FE Model of the Benchmark Problem ...................................................................... 1061 VM-NR1677-01-7-a.1. FE Model of the Benchmark Problem ...................................................................... 1069 VM-NR1677-02-1-a.1. FE Model of the Benchmark Problem ...................................................................... 1078 VM-NR1677-02-2-a.1. FE model of the Benchmark Problem ...................................................................... 1088 VM-NR1677-02-3-a.1. FE Model of the Benchmark Problem ...................................................................... 1098 VM-NR1677-02-4-a.1. FE Model of the Benchmark Problem ...................................................................... 1110 VM-NR6645-01-1-a.1. FE Model of the Benchmark Problem ...................................................................... 1126


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List of Tables 79.1. Comparison of Mechanical APDL Linear and Bilinear Spring Results ................................................... 214 165.1. B-H Data ......................................................................................................................................... 429 209.1. PVDATA points for Fluid material model ........................................................................................... 564 209.2. 20 PSI Applied-Gas .......................................................................................................................... 566 209.3. 40 PSI Applied-Gas .......................................................................................................................... 566 209.4. 60 PSI Applied-Gas .......................................................................................................................... 566 209.5. 20 PSI Applied-PVDATA ................................................................................................................... 566 209.6. 40 PSI Applied-PVDATA ................................................................................................................... 567 209.7. 60 PSI Applied-PVDATA ................................................................................................................... 567 247.1. Geometric Data of Rotor-Bearing Elements ...................................................................................... 696 254.1. Geometric Data of Rotor-Bearing Elements ...................................................................................... 722 259.1. Frequency versus Spectral values ..................................................................................................... 738 263.1. Geometric Data of Rotor-Bearing Elements ...................................................................................... 756 272.1. Contact Pressure 2-D ...................................................................................................................... 787 272.2. Contact Friction 2-D ....................................................................................................................... 788 272.3. Contact Pressure 3-D ...................................................................................................................... 788 272.4. Contact Friction 3-D ....................................................................................................................... 788 1.1. Structural Plane Elements ................................................................................................................... 828 1.2. Structural Solid Elements .................................................................................................................... 828 1.3. Structural Shell Elements ..................................................................................................................... 828 1.4. Thermal Solid Elements ....................................................................................................................... 828 1.5. Analysis Type Coverage ....................................................................................................................... 828 C1.1. Target Solution ................................................................................................................................. 833 C1.2. Results Comparison .......................................................................................................................... 833 C1.3. Results Comparison - Shell Element and Analytical Solution ............................................................... 834 E3.1. Case 1: Step Input .............................................................................................................................. 884 E3.2. Case 2: Ramp Input ............................................................................................................................ 885 VMR031-T3.1. Using SHELL281 .................................................................................................................. 985 VMR031-T3.2. Using SHELL181 .................................................................................................................. 986 1.1. Frequencies Obtained from Modal Solution ....................................................................................... 1028 1.2. Displacements and Stresses Obtained from Spectrum Solution .......................................................... 1029 1.3. Frequencies Obtained from Modal Solution ....................................................................................... 1031 1.4. Displacements and Stresses Obtained from Spectrum Solution .......................................................... 1031 1.5. Frequencies Obtained from Modal Solution ....................................................................................... 1034 1.6. Displacements and Stresses Obtained from Spectrum Solution .......................................................... 1034 VM-NR1677-01-1-a.1. Frequencies Obtained from Modal Solution ............................................................ 1038 VM-NR1677-01-1-a.2. Maximum Displacements and Rotations Obtained from Spectrum Solve ................. 1038 VM-NR1677-01-1-a.3. Element Forces and Moments Obtained from Spectrum Solve ................................. 1039 VM-NR1677-01-2-a.1. Frequencies Obtained from Modal Solution ............................................................ 1042 VM-NR1677-01-2-a.2. Maximum Displacements and Rotations Obtained from Spectrum Solve ................. 1043 VM-NR1677-01-2-a.3. Element Forces and Moments Obtained from Spectrum Solve ................................. 1043 VM-NR1677-01-3-a.1. Frequencies Obtained from Modal Solution: ........................................................... 1046 VM-NR1677-01-3-a.2. Maximum Displacements and Rotations Obtained from Spectrum Solve ................. 1047 VM-NR1677-01-3-a.3. Element Forces and Moments Obtained from Spectrum Solve ................................. 1047 VM-NR1677-01-4-a.1. Frequencies Obtained from Modal Solution: ........................................................... 1052 VM-NR1677-01-4-a.2. Maximum Displacements and Rotations Obtained from Spectrum Solve ................. 1053 VM-NR1677-01-4-a.3. Element Forces and Moments Obtained from Spectrum Solve ................................. 1053 VM-NR1677-01-5-a.1. Frequencies Obtained from Modal Solution ............................................................ 1058 VM-NR1677-01-5-a.2. Maximum Displacements and Rotations Obtained from Spectrum Solve ................. 1058 VM-NR1677-01-5-a.3. Element Forces and Moments Obtained from Spectrum Solve ................................. 1058 Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

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Mechanical APDL Verification Manual VM-NR1677-01-6-a.1. Frequencies Obtained from Modal Solution: ........................................................... 1064 VM-NR1677-01-6-a.2. Maximum Displacements and Rotations Obtained from Spectrum Solve ................. 1065 VM-NR1677-01-6-a.3. Element Forces and Moments Obtained from Spectrum Solve ................................. 1066 VM-NR1677-01-7-a.1. Frequencies Obtained from Modal Solution ............................................................ 1072 VM-NR1677-01-7-a.2. Maximum Displacements and Rotations Obtained from Spectrum Solve ................. 1073 VM-NR1677-01-7-a.3. Element Forces and Moments Obtained from Spectrum Solve ................................. 1073 VM-NR1677-02-1-a.1. Frequencies Obtained from Modal Solution: ........................................................... 1079 VM-NR1677-02-1-a.2. Maximum Displacements and Rotations Obtained from Spectrum Solve ................ 1079 VM-NR1677-02-1-a.3. Reaction forces Obtained from Spectrum Solve ...................................................... 1080 VM-NR1677-02-1-a.4. Element Forces and Moments Obtained from Spectrum Solve ................................. 1080 VM-NR1677-02-1-a.5. Maximum Displacements and Rotations Obtained from Spectrum Solve ................. 1081 VM-NR1677-02-1-a.6. Reaction forces Obtained from Spectrum Solve ...................................................... 1081 VM-NR1677-02-1-a.7. Element Forces and Moments Obtained from Spectrum Solve ................................. 1082 VM-NR1677-02-1-a.8. Maximum Displacements and Rotations Obtained from Spectrum Solve ................. 1083 VM-NR1677-02-1-a.9. Reaction forces Obtained from Spectrum Solution .................................................. 1083 VM-NR1677-02-1-a.10. Element Forces and Moments Obtained from Spectrum Solve ............................... 1084 VM-NR1677-02-2-a.1. Frequencies Obtained from Modal Solution: ........................................................... 1089 VM-NR1677-02-2-a.2. Maximum Displacements and Rotations Obtained from Spectrum Solve ................. 1090 VM-NR1677-02-2-a.3. Reaction forces Obtained from Spectrum Solve ...................................................... 1090 VM-NR1677-02-2-a.4. Element Forces and Moments Obtained from Spectrum Solve ................................. 1091 VM-NR1677-02-2-a.5. Maximum Displacements and Rotations Obtained from Spectrum Solve ................. 1092 VM-NR1677-02-2-a.6. Reaction forces Obtained from Spectrum Solve ...................................................... 1092 VM-NR1677-02-2-a.7. Element Forces and Moments Obtained from Spectrum Solve ................................. 1093 VM-NR1677-02-2-a.8. Maximum Displacements and Rotations Obtained from Spectrum Solve ................. 1094 VM-NR1677-02-2-a.9. Reaction forces Obtained from Spectrum Solve ...................................................... 1094 VM-NR1677-02-2-a.10. Element Forces and Moments Obtained from Spectrum Solve ............................... 1095 VM-NR1677-02-3-a.1. Frequencies Obtained from Modal Solution: ........................................................... 1099 VM-NR1677-02-3-a.2. Maximum Displacements and Rotations ................................................................. 1100 VM-NR1677-02-3-a.3. Element Forces and Moments ................................................................................. 1100 VM-NR1677-02-3-a.4. Element Forces and Moments ................................................................................. 1101 VM-NR1677-02-3-a.5. Maximum Displacements and Rotations Obtained from Spectrum Solve ................. 1103 VM-NR1677-02-3-a.6. Reaction forces Obtained from Spectrum Solve ...................................................... 1103 VM-NR1677-02-3-a.7. Element Forces and Moments Obtained from Spectrum Solve ................................. 1104 VM-NR1677-02-3-a.8. Maximum Displacements and Rotations Obtained from Spectrum Solve ................. 1105 VM-NR1677-02-3-a.9. Reaction forces Obtained from Spectrum Solve ...................................................... 1106 VM-NR1677-02-3-a.10. Element Forces and Moments Obtained from Spectrum Solve ............................... 1107 VM-NR1677-02-4-a.1. Frequencies Obtained from Modal Solution ............................................................ 1116 VM-NR1677-02-4-a.2. Maximum Displacements and Rotations Obtained from Spectrum Solve ................. 1117 VM-NR1677-02-4-a.3. Reaction forces Obtained from Spectrum Solve ...................................................... 1118 VM-NR1677-02-4-a.4. Element Forces and Moments Obtained from Spectrum Solve ................................. 1119 VM-NR1677-02-4-a.5. Maximum Displacements and Rotations Obtained from Spectrum Solve ................. 1120 VM-NR1677-02-4-a.6. Reaction forces Obtained from Spectrum Solve ...................................................... 1120 VM-NR1677-02-4-a.7. Element Forces and Moments Obtained from Spectrum Solve ................................. 1122 VM-NR6645-01-1-a.1. Frequencies Obtained from Modal Solution ............................................................ 1128 VM-NR6645-01-1-a.2. Case 1: With Missing Mass Effect (ZPA = 0.54g) ........................................................ 1128 VM-NR6645-01-1-a.3. Case 2: With Missing Mass Effect (ZPA = 0.54g) and Rigid Responses Effect (Lindley Method) ................................................................................................................................................. 1129 VM-NR1677-01-1.1. Frequencies Obtained from Modal Solution ............................................................... 1131 VM-NR1677-01-1.2. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1131 VM-NR1677-01-1.3. Element Forces and Moments Obtained from Spectrum Solve ................................... 1131 VM-NR1677-01-2.1. Frequencies Obtained from Modal Solution ............................................................... 1133 VM-NR1677-01-2.2. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1133

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Mechanical APDL Verification Manual VM-NR1677-01-2.3. Element Forces and Moments obtained from Spectrum Solve .................................... 1133 VM-NR1677-01-3.1. Frequencies Obtained from Modal Solution ............................................................... 1135 VM-NR1677-01-3.2. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1135 VM-NR1677-01-3.3. Element Forces and Moments obtained from Spectrum Solve .................................... 1136 VM-NR1677-01-4.1. Frequencies Obtained from Modal Solution ............................................................... 1139 VM-NR1677-01-4.2. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1140 VM-NR1677-01-4.3. Element Forces and Moments obtained from Spectrum Solve .................................... 1140 VM-NR1677-01-5.1. Frequencies Obtained from Modal Solution ............................................................... 1143 VM-NR1677-01-5.2. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1143 VM-NR1677-01-5.3. Element Forces and Moments obtained from Spectrum Solve .................................... 1144 VM-NR1677-01-6.1. Frequencies Obtained from Modal Solution ............................................................... 1147 VM-NR1677-01-6.2. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1148 VM-NR1677-01-6.3. Element Forces and Moments obtained from Spectrum Solve .................................... 1148 VM-NR1677-01-7.1. Frequencies Obtained from Modal Solution ............................................................... 1151 VM-NR1677-01-7.2. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1152 VM-NR1677-01-7.3. Element Forces and Moments obtained from Spectrum Solve .................................... 1152 VM-NR1677-02-1.1. Frequencies Obtained from Modal Solution ............................................................... 1155 VM-NR1677-02-1.2. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1156 VM-NR1677-02-1.3. Element Forces and Moments Obtained from Spectrum Solve ................................... 1156 VM-NR1677-02-1.4. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1157 VM-NR1677-02-1.5. Element Forces and Moments Obtained from Spectrum Solve ................................... 1157 VM-NR1677-02-1.6. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1158 VM-NR1677-02-1.7. Element Forces and Moments Obtained from Spectrum Solve ................................... 1158 VM-NR1677-02-2.1. Frequencies Obtained from Modal Solution ............................................................... 1161 VM-NR1677-02-2.2. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1162 VM-NR1677-02-2.3. Element Forces and Moments Obtained from Spectrum Solve ................................... 1162 VM-NR1677-02-2.4. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1163 VM-NR1677-02-2.5. Element Forces and Moments Obtained from Spectrum Solve ................................... 1163 VM-NR1677-02-2.6. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1164 VM-NR1677-02-2.7. Element Forces and Moments Obtained from Spectrum Solve ................................... 1164 VM-NR1677-02-3.1. Frequencies Obtained from Modal Solution ............................................................... 1167 VM-NR1677-02-3.2. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1168 VM-NR1677-02-3.3. Element Forces and Moments Obtained from Spectrum Solve ................................... 1168 VM-NR1677-02-3.4. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1169 VM-NR1677-02-3.5. Element Forces and Moments Obtained from Spectrum Solve ................................... 1169 VM-NR1677-02-3.6. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1170 VM-NR1677-02-3.7. Element Forces and Moments Obtained from Spectrum Solve ................................... 1170 VM-NR1677-02-4.1. Frequencies Obtained from Modal Solution ............................................................... 1173 VM-NR1677-02-4.2. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1174 VM-NR1677-02-4.3. Element Forces and Moments Obtained from Spectrum Solve ................................... 1175 VM-NR1677-02-4.4. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1176 VM-NR1677-02-4.5. Element Forces and Moments Obtained from Spectrum Solve ................................... 1176 VM-NR6645-01-1.1. Frequencies Obtained from Modal Solution ............................................................... 1179 VM-NR6645-01-1.2. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1180 VM-NR6645-01-1.3. Element Forces and Moments Obtained from Spectrum Solve ................................... 1180 VM-NR6645-01-1.4. Maximum Displacements and Rotations Obtained from Spectrum Solve .................... 1181 VM-NR6645-01-1.5. Element Forces and Moments Obtained from Spectrum Solve ................................... 1181


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Part I: Verification Test Case Descriptions

Chapter 1: Introduction The Mechanical APDL computer program is a large-scale multipurpose finite element program which may be used for solving several classes of engineering analyses. The analysis capabilities of Mechanical APDL include the ability to solve static and dynamic structural analyses, steady-state and transient heat transfer problems, mode-frequency and buckling eigenvalue problems, static or time-varying magnetic analyses, and various types of field and coupled-field applications. The program contains many special features which allow nonlinearities or secondary effects to be included in the solution, such as plasticity, large strain, hyperelasticity, creep, swelling, large deflections, contact, stress stiffening, temperature dependency, material anisotropy, and radiation. As Mechanical APDL has been developed, other special capabilities, such as substructuring, submodeling, random vibration, kinetostatics, kinetodynamics, free convection fluid analysis, acoustics, magnetics, piezoelectrics, and coupled-field analysis have been added to the program. These capabilities contribute further to making Mechanical APDL a multipurpose analysis tool for varied engineering disciplines. The Mechanical APDL (ANSYS) program has been in commercial use since 1970, and has been used extensively in the aerospace, automotive, construction, electronic, energy services, manufacturing, nuclear, plastics, oil, and steel industries. In addition, many consulting firms and hundreds of universities use Mechanical APDL for analysis, research, and educational use. Mechanical APDL is recognized worldwide as one of the most widely used and capable programs of its type. The primary purpose of this manual is to demonstrate a wide range of Mechanical APDL elements and capabilities in straightforward problems which have "classical" or readily-obtainable theoretical solutions. Furthermore, the close agreement of the Mechanical APDL solutions to the theoretical results in this manual is intended to provide user confidence in the Mechanical APDL solutions. An attempt has been made to include most element types and major solution capabilities of Mechanical APDL in this set of test cases. These problems may then serve as the basis for additional validation and qualification of Mechanical APDL capabilities by the user for specific applications that may be of interest. The following Mechanical APDL Verification Manual topics are available: 1.1. Program Overview 1.2. Program Verification 1.3. Finding Test Cases of Interest 1.4. Accessing Test Case Inputs 1.5. Verification Manual Versus Other Manuals 1.6. Verification Manual Contents 1.7. Expected Results 1.8.Test Case Selection and Method of Solution 1.9. Numerical Comparisons 1.10. References 1.11.Test Case Format 1.12. Symbols and Nomenclature 1.13. Memory Requirements and Run Times 1.14. Abbreviation and Symbol List 1.15. Units Abbreviation List 1.16. Index by Element Number


3

Introduction

1.1. Program Overview The Mechanical APDL element library contains more than sixty elements for static and dynamic analyses, over twenty for heat transfer analyses, and includes numerous magnetic, field, and special purpose elements. This variety of elements allows the Mechanical APDL program to analyze 2-D and 3-D frame structures, piping systems, 2-D plane and axisymmetric solids, 3-D solids, flat plates, axisymmetric and 3-D shells and nonlinear problems including contact (interfaces) and cables. The input data for a Mechanical APDL analysis are prepared using a preprocessor. The general preprocessor (PREP7) contains powerful solid modeling and mesh generation capabilities, and is also used to define all other analysis data (geometric properties (real constants), material properties, constraints, loads, etc.), with the benefit of database definition and manipulation of analysis data. Parametric input, user files, macros and extensive online documentation are also available, providing more tools and flexibility for the analyst to define the problem. Extensive graphics capability is available throughout the Mechanical APDL program, including isometric, perspective, section, edge, and hidden-line displays of 3-D structures, x-y graphs of input quantities and results, and contour displays of solution results. A graphical user interface is available throughout the program, to guide new users through the learning process and provide more experienced users with multiple windows, pull-down menus, dialog boxes, tool bar, and online documentation. The analysis results are reviewed using postprocessors, which have the ability to display distorted geometries, stress and strain contours, flow fields, safety factor contours, contours of potential field results (thermal, electric, magnetic), vector field displays mode shapes and time history graphs. The postprocessors can also be used for algebraic operations, database manipulations, differentiation, and integration of calculated results. Root-sum-square operations may be performed on seismic modal results. Response spectra may be generated from dynamic analysis results. Results from various loading modes may be combined for harmonically loaded axisymmetric structures.

1.2. Program Verification The Mechanical APDL program is continuously being verified by the developers (ANSYS, Inc.) as new capabilities are added. The verification of the Mechanical APDL program is conducted in accordance with written procedures that form a part of an overall Quality Assurance program at ANSYS, Inc. This manual represents a small subset of the Quality Assurance test case library which is used in full when testing new versions of Mechanical APDL. This test library and the test cases in this manual represent comparisons of Mechanical APDL solutions with known theoretical solutions, experimental results, or other independently calculated solutions. The test cases explore the functionality of Mechanical APDL in validated results. The test cases are based on published works in the disciplines of structures, dynamics, heat transfer, electromagnetics, and fluid flow. While the Mechanical APDL solution to these test cases has been verified, some differences have been examined and are considered acceptable. In order to solve some test cases, specific Mechanical APDL products may be required. The test cases appropriate to each product can be determined from the following table. Most test cases can be solved within the limitations of the educational Mechanical APDL product. The test case input listings are available through a hyperlink in the test description. For Mechanical APDL users who may have further need for formal verification of the program, ANSYS, Inc. has testing services available that allow automated testing of Mechanical APDL on a customer's computer. The user is provided with input data, output data, comparator software, and procedures for

4


Verification Manual Contents automating the testing and reporting process. Readers interested in contracting for such services may contact the ANSYS, Inc. Quality Assurance Group.

1.3. Finding Test Cases of Interest There are several possible methods of locating a test which contains topics of interest to the user. The Index topics display the related verification problem number. If you are using the online documentation, the verification problem numbers in Index by Element Number (p. 11) are hyperlinks to each verification test case description. You can always do a text search while using the online documentation to find specific information. Finally, the code for each VM problem is contained in an appendix at the end of this manual.

1.4. Accessing Test Case Inputs In the online help, the input file for each test case is linked to its description in each Overview section labeled "Input Listing." If you select the link, the test case input file appears in the browser window. The input listing may be printed. To read an input listing into Mechanical APDL, copy the input listing into a text editor, save it as a text file, then select File>Read Input from... on the Mechanical APDL main menu to send the input to Mechanical APDL. Nested macros may not function properly unless they are read from a file. Formatting commands will not function interactively if not read from a file. Additionally, each test case input listing appears in Appendix A (p. 1183).

1.5. Verification Manual Versus Other Manuals The test cases in this manual are primarily intended for verification of the Mechanical APDL program. An attempt has been made to include most significant analysis capabilities of the Mechanical APDL program in this manual. Although they are valuable as demonstration problems, the test cases are not presented as step-by-step examples with lengthy data input instructions and printouts. Most users with limited finite element experience should be able to fill in the missing details by reviewing the finite element model and the input data listing with its accompanying comments. Problem sketches and modeling notes are included. The reader should refer to the online help and to this manual for complete input data instructions. Users desiring more detailed instructions for solving problems or in-depth treatment of specific topics should refer to other Mechanical APDL documentation as described in Guide to the Mechanical APDL Documentation in the Command Reference. Introductory documentation such as the Mechanical APDL Introductory Tutorials should be the first stop for new and existing users needing basic information on using the Mechanical APDL program. Seminar notes on several broad topics are also available. These notes are written in a form designed for classroom instruction, and include theory, Mechanical APDL implementation, exercises, and examples. Broad subjects such as dynamics, heat transfer, nonlinearities, magnetics, and optimization are covered in these notes. Mechanical APDL Introductory Tutorials are also available for various specific topics. These publications focus on particular features or program areas, supplementing other Mechanical APDL reference documents with theory, procedures, guidelines, examples, and references.

1.6. Verification Manual Contents The intent of this manual is to demonstrate the full scope of the analysis capability available in the Mechanical APDL program. This manual will also assist new users of the Mechanical APDL program in Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

5

Introduction running compact test cases and for understanding basic capability. All report results and input listings correspond to ANSYS 15.0. Mechanical APDL Verification Manual test cases are available on the ANSYS 15.0 installation media provided to the customer in the verif subdirectory under the data directory. All test cases also appear in three appendixes at the end of this manual.

1.7. Expected Results Mechanical APDL is a program intended for solving practical engineering problems. Many theoretical problems are not realistic in that the assumptions necessary to obtain a closed-form analytical solution make the mathematical model depart from a practical application problem. Examples of these assumptions are: step force changes, step temperature changes, perfectly plastic impacts, infinitely rigid supports, etc. Imposing these conditions in a finite element analysis often requires more effort to duplicate the theoretical result than would be required to solve the "real world" problem. Theoretical solutions are generally based on a continuous or differential approach. In some cases, an exact comparison with a finite-element solution would require an infinite number of elements and/or an infinite number of iterations separated by an infinitely small step size. Such a comparison is neither practical nor desirable. Some of the Mechanical APDL solutions in this manual are also compared against experimental data obtained from textbooks or technical publications. The experimental measurements are often presented in the form of graphs of relevant parameters. Hence the simulation results are also presented as graphs so that the corresponding values can be compared on the same graph. Experimental data represent the real-world physics reproduced in a controlled manner, and provides more complex details than theoretical solutions. The examples in this manual have been modeled to give reasonably accurate comparisons ("engineering accuracy") with a low number of elements and iterations. In some cases, even fewer elements and/or iterations will still yield an acceptable engineering accuracy. There are also cases where larger differences may exist with regard to references, for example when comparing against experimental solutions. These differences have been examined and are considered acceptable. A survey of the results comparisons in this manual shows an average accuracy within 1-2% of the target solution.

1.8. Test Case Selection and Method of Solution The problems solved in this manual and the method of solution were selected with verification as the primary objective. Some problems could have been solved more directly or in a manner other than the way presented. In some cases the same problem is solved in several different ways to demonstrate and verify other elements or capabilities of the program. Since Mechanical APDL is a program capable of solving very complicated practical engineering problems having no closed-form theoretical solutions, the relatively simple problems solved in this manual do not illustrate the full capability of the Mechanical APDL program.

1.9. Numerical Comparisons The Mechanical APDL solutions in this manual are compared with solutions from textbooks or technical publications. In some cases noted below, the target (theoretical) answers reported in this manual may differ from those shown in the reference. Any problems having significantly different recalculated values are noted as such. Differences between Mechanical APDL results and target values are reported as ratios (Mechanical APDL:Target) except in cases where the target solution is zero or non-numerical in nature. 6


Test Case Format Some textbook solutions are based on slide rule accuracy. For example, the reference for problem number 3 reports the stress to be 10,200 psi. Using a hand calculator to recalculate the results shows the result to be 10,152.258 psi. The Mechanical APDL calculation yields 10,152 psi. In problems like this, an appropriate number of significant digits are used in comparing solutions. Some references have incorrect answers printed and some have incorrect equations. Reference's answers presented without regard to sign are reported with the appropriate sign. Theoretical derivations not having a specific numerical example in the text are solved for a representative numerical example and both the theoretical and Mechanical APDL results are given. In cases where only the results but not the input data are given in the theoretical reference (for example, where only tabular or graphical results are presented), the input data are back-calculated from a convenient solution point. Graphical solution results are reported to an appropriate accuracy. Different computers and different operating systems may yield slightly different results for some of the test cases in this manual, since numerical precision varies from machine to machine. Solutions which are nonlinear, iterative, or have convergence options activated, are among the most likely to exhibit machine-dependent numerical differences. Because of this, an effort has been made to report an appropriate and consistent number of significant digits in both the target and the Mechanical APDL solution. If you run these test cases on your own computer hardware, be advised that a Mechanical APDL result reported in this manual as 0.01234 may very well show up in your printout as 0.012335271. It should be noted that only those items corresponding to the given theoretical solution values are reported for each problem. In most cases the same finite element solution also contains a considerable amount of other useful numerical solution data.

1.10. References The textbooks and references used for the verification tests were chosen for several reasons. Well known and recognized textbooks were used whenever possible; other texts were used if they were readily available to the author. Periodical or technical journal references were used in instances where no textbook solutions could be found for an application of interest. The books should be available for purchase or through most engineering libraries. Periodicals are of the type normally available in university libraries. In most cases the reference listed is not the only source of the theory or of a similar sample problem.

1.11. Test Case Format Test cases use the following format: • A description of the test case, including the dimensions, loading, material properties, and other relevant data. • Theoretical reference(s). • Figures describing the problem, including either the Mechanical APDL finite element model showing node and element locations, or the Mechanical APDL "solid model," showing keypoints, line segments, areas and/or volumes (as applicable). • Analysis assumptions, modeling notes, and comments. • Target results, Mechanical APDL results, and normalized ratio. • Mechanical APDL input data listing, including comments.


7

Introduction • Graphics displays of the results (optional). • Additional information containing references to analysis guides with similar problems and other test cases using similar features (optional).

1.12. Symbols and Nomenclature The majority of the nomenclature used in this manual follows what is considered commonly-used form. Exceptions and special circumstances are described when used. A few specific cases deserve definition, where many authors vary in their usage of nomenclature/symbols and there is no clear "standard." In the text, vectors are shown by {A} or , the former being used primarily when symbolizing vector unknowns. Matrices are shown as [K], and |a| is used to denote absolute value. Natural logarithms use "ln" and base 10 logarithms are shown as "log". In the figures, node and keypoint locations are denoted by in the figures. Node numbers are unitalicized (1), keypoint numbers are shown italicized (1) and line numbers are shown italicized with prefix "L" (L2). Element numbers are enclosed with a circle numbers are enclosed with a hexagon

, area numbers are enclosed with a box

, and volume

.

1.13. Memory Requirements and Run Times The Mechanical APDL program is supported on many different computers. Memory size, run time, and cost will vary from computer to computer. The test cases in this manual are small enough to require only a minimum memory size. The test cases generally require a very short run time each, although some are somewhat larger and longer running to allow the inclusion of meaningful tests for some of the more advanced capabilities included in Mechanical APDL. The benchmark test cases in Description of the Benchmark Studies (p. 825) are small to moderately-sized tests as well, but the run time for these is very dependent on the parameters chosen for the specific test.

1.14. Abbreviation and Symbol List Abbreviation a

Acceleration

A

Area, Vector magnetic potential, Amplitude

B

Magnetic flux density

Br

Residual induction

c

Viscous damping constant, Specific heat

C

Thermal capacitance, Fluid conductance

d

Diameter

MDOF

8

Explanation

Master Degrees of freedom

E

Young's modulus of elasticity

f

Frequency of vibration, Friction factor


Abbreviation and Symbol List Abbreviation

Explanation

F

Force

g

Gravitational acceleration

G

Shear modulus

h

Average convection coefficient, Height

H

Magnetic field intensity

Hc

Coercive force

I ITS

Moment of inertia, Electrical current Integration time step

J

Torsional moment of inertia, Electrical current density

k

Spring constant, Thermal conductivity

KI

Stress intensity factor

ℓ

Length

L

Inductance, Length

m

Mass

M

Moment

Nu

Nusselt number

P, p

Pressure

Pr

Prandtl number

q

Heat flow rate

ɺɺɺ

Heat generation rate

r

Radius

R

Electrical resistance, Reaction

Re

Reynolds number

t

Thickness, Time

T

Temperature

u

Displacement

V, v

Velocity, Voltage

w

Flow rate, Width

W

Weight Centroid location

α

Coefficient of thermal expansion, Thermal diffusivity

γ

Weight density

δ, ∆

Deflection

ε

Strain, Emissivity, Permittivity

ν

Poisson's ratio

Θ

Angle

ξ

Damping ratio


9

Introduction Abbreviation

Explanation

µ

Magnetic permeability, Viscosity, Coefficient of friction

ρ

Mass density, Electrical resistivity Yield stress

σyp τ

Period of vibration, Shear stress

ω

Circular frequency of vibration, Fluid flow rate, Angular velocity

σ

Electrical conductivity, direct stress

Other symbols and abbreviations are defined where used.

1.15. Units Abbreviation List Abbreviation AbA

10

Units AbAmpere

A

Ampere

A

t-Ampere-turns

BTU

British Thermal Unit

cm

centimeter

°C

Celsius

C

Coulomb

°F

Fahrenheit

F

Farad

ft

feet

G

Gauss

gm

gram

H

Henry

Hz

Hertz

hr

hour

in

inch

kg

Kilogram

kip

Kilopound (1000 pound force)

ksi

Kilopounds per square inch

m

meter

mm

millimeter

MPa

Megapascal

N

Newton

Oe

Oersted

Pa

Pascal

lb

pound force

psi

pounds per square inch

psig

pounds per square inch (gauge) Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

Index by Element Number Abbreviation

Units

rad

radian

rpm

revolutions per minute

sec

second

S

Siemen

T

Tesla

W

Watt

Wb

Weber

Ω

Ohm

1.16. Index by Element Number Element and Keywords

Element Options

Test Cases

BEAM188 - 3-D Finite Strain Beam Buckling Analysis

VM127

Harmonic

VM177

Modal

VM59, VM61, VM219, VM235 Rotary Inertia

VM48, VM57

Longitudinal

VM52, VM261

Seismic

VM70

Unsymmetric Matrix

VM177

Nonlinear Transient Dynamic

VM40

Spectrum Analysis, Modal Analysis

VM19, VM212

Static Structural

VM2, VM10, VM36, VM41, VM180, VM195, VM216, VM217, VM222, VM239, VM247, VM257, VM266 Creep

VM133

Tapered Section

VM34

Stress Stiffening

VM21

Prestress

VM127

Plasticity

VM24, VM134

Large Deflection

VM14, VM136

Transient Dynamic

VM77, VM179

BEAM189 - 3-D Finite Strain Beam Modal

VM50, VM57

Static Structural

VM135, VM216, VM217, VM222, VM258

CIRCU94 - Piezoelectric Circuit Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

11

Introduction Element and Keywords

Element Options

Transient Piezoelectric - circuit

Test Cases VM237

CIRCU124 - General Circuit Element Current Conduction, Static, Harmonic

VM117, VM207, VM208

Static Analysis

VM277

Transient

VM226

CIRCU125 - Common or Zener Diode Transient

VM226

COMBIN14 - Spring-Damper Coupled Field

Longitudinal

VM171

Modal

Longitudinal

VM45, VM52, VM89, VM154, VM247

Torsional

VM47 VM274

Modal, Harmonic

Longitudinal

Mode-Superposition Harmonic

VM90, VM149 VM282

Spectral Analysis

Longitudinal

VM259

Static Structural

Longitudinal

VM197 VM195, VM274

Transient Dynamic

Longitudinal

VM9

COMBIN37 - Control Steady-State Thermal

VM159

COMBIN39 - Nonlinear Spring Transient Dynamic

VM156

COMBIN40 - Combination Harmonic

Mass, Damping

VM86, VM88

Mass

VM87

Modal, Harmonic

Mass

VM183

Modal, Spectrum

Mass

VM68, VM212

Modal, Transient Dynamic

Mass

VM182

Static Structural Transient Dynamic

12

VM36 Mass

VM69

Mass

VM9, VM79

Mass, Friction

VM73

Mass, Gap

VM81


Index by Element Number Element and Keywords

Element Options

Test Cases

Mass, Damping, Gap

VM83

Mass, Damping

VM71, VM72, VM74, VM75

COMBI214 - 2-D Spring-Damper Bearing Modal

Longitudinal

CONTAC12 - 2-D Point-to-Point Contact Static Structural

VM254, VM261, VM263 1

Friction, Nonzero Separated-Interface Stiffness

VM29

CONTA171 - 2-D Surface-to-Surface Contact Static Structural

VM211, VM255, VM272

Thermal Structural Contact

VM229

CONTA172 - 2-D 3-Node Surface-to-Surface Contact Static Structural

VM211

CONTA173 - 3-D Surface-to-Surface Contact Static Structural

VM211, VM272, VM274

Modal

VM274

CONTA174 - 3-D 8-Node Surface-to-Surface Contact Static Structural

VM211


VM282

CONTA175 - 2-D/3-D Node-to-Surface Contact Static Structural

VM275

Static Structural, Transient Dynamic

VM23, VM64, VM65, VM191, VM201

Modal Analysis

VM275

CONTA176 - 3-D Line-to-Line Contact Static Structural

VM257, VM266

CONTA177 - 3-D Line-to-Surface Contact Static Analysis

VM278

Transient Dynamic

VM265

CONTA178 - 3-D Node-to-Node Contact Static Structural

Gap Size by Node Location

VM27

Friction, Nonzero Separated-Interface Stiffness

VM29 VM63, VM236

CPT212 - 2-D 4-Node Coupled Pore-Pressure Mechanical Solid Element Static analysis

VM260

CPT213 - 2-D 8-Node Coupled Pore-Pressure Mechanical Solid Element Static Structural

VM260, VM264 Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

13


Element Options

Test Cases


VM264


VM264


VM264

ELBOW290 - 3-D 3-Node Elbow Static analysis

VM18

FLUID29 - 2-D Acoustic Fluid Acoustics, Modal Analysis

No Structure at Interface

VM177

Coupled Field, Modal Analysis

Structure at Interface

VM177

FLUID30 - 3-D Acoustic Fluid Acoustics, Harmonic

No Structure at Interface

VM177

Coupled Field, Harmonic

Structure at Interface

VM177

Full Harmonic

VM283


VM282

Modal

VM157

FLUID38 - Dynamic Fluid Coupling Modal

VM154

FLUID116 - Thermal Fluid Pipe Fluid Flow

VM122 Flow Losses (Additional Length)

VM123

Flow Losses (Loss Coefficient) Pump Head

VM124

Static Analysis

VM271

Steady-State Thermal

VM126

FLUID136 - 3-D Squeeze Film Fluid Element Harmonic

VM245

FLUID220 - 3-D Acoustic Fluid 20-Node Solid Element Coupled Field, Harmonic

VM177

Harmonic

VM242

FLUID221 - 3-D Acoustic Fluid 10-Node Solid Element Coupled Field, Harmonic

14

VM177



Element Options

Test Cases

HSFLD241 - 2-D Hydrostatic Fluid element Static Structural

VM209

INFIN9 - 2-D Infinite Boundary Static Magnetic

VM188 AZ Degree of Freedom

VM165

INFIN47 - 3-D Infinite Boundary Static Magnetic

VM190

INFIN110 - 2-D Infinite Solid Electrostatic, Harmonic

VM49, VM206, VM207

Static Analysis

VM270

INFIN111 - 3-D Infinite Solid Electrostatic

VM51

INTER192 - 2-D 4-Node Gasket Static Structural

VM249


VM249


VM250


VM250

INTER202 - 2-D 4-Node Cohesive Zone Static Structural

VM248


VM248


VM248

LINK11 - Linear Actuator Static Structural

VM195

LINK31 - Radiation Link Steady-State Thermal

VM106, VM107

LINK33 - 3-D Conduction Bar Steady-State Thermal Transient Thermal

VM92, VM93, VM94, VM95, VM110, VM114, VM115, VM116 AUX12

VM125, VM147

Analogous Diffusion Variables

VM164

LINK34 - Convection Link


15


Element Options


Test Cases VM92, VM94, VM95,VM97, VM107, VM109, VM110, VM159

Temperature-Dependent Film Coefficient

VM116

LINK68 - Thermal-Electric Line Coupled Field

Multi-field Coupling

Current Conduction

VM170 VM117

LINK180 - 3-D Spar (or Truss) Modal, Static Structural

VM53

Modal, Static Structural, Harmonic

VM76

Static Structural

VM1, VM4, VM146, VM194 Creep and Initial Strain

VM132

Plasticity

VM11

Stress Stiffening

VM31

Thermal Stress

VM3, VM27

Transient Dynamic

VM84, VM85, VM91 Plasticity

VM80

MASS21 - Structural Mass Harmonic

VM90, VM149

Modal

VM45, VM89, VM149, VM212, VM247, VM254, VM274 Rotary Inertia

VM47, VM48, VM52,VM57


VM282

Static Structural

VM131, VM274

Transient Dynamic

VM65, VM77, VM179, VM80,VM81, VM91, VM156, VM257

MASS71 - Thermal Mass Transient Thermal

VM109, VM159

MATRIX27 - Stiffness, Damping, or Mass Matrix Static Structural

VM41

MATRIX50 - Superelement (or Substructure) Radiation Matrix Substruction Static Structural, Substructure

16

Steady-State Thermal, Substructural

VM125 VM141


Index by Element Number Element and Keywords Steady-State Thermal

Element Options AUX12

Test Cases VM147

MESH200 - Meshing Facet Electrostatic

VM51

Static Analysis

VM277

Static Magnetic

VM241

Static Structural

VM201

MPC184 - Multipoint Constraint Elements Static Structural

VM195, VM239, VM240

Transient Dynamics

VM179, VM257, VM258

PIPE288 - 2-D Coupled-Field Solid Modal

VM57, VM254

Static Structural

VM7, VM12 Cracking

Transient Dynamic

VM146 VM158

PIPE289 - 2-D 3-Node Pipe Static Analysis

VM278

Modal

VM57

PLANE13 - 2-D Coupled-Field Solid Coupled Field

Axisymmetric w/ AZ DOF and Multi-field Coupling

VM172

AZ and VOLT Degree of Freedom, Multi-field Coupling

VM185

Plane Strain with Multi-field Coupling

VM171

Plane Stress with Multi-field Coupling

VM174


VM186

Thermal-Structural Coupling

VM23

Harmonic Magnetic

AZ Degree of Freedom

VM166

Static Magnetic


VM165

Static Structural Transient Magnetic

VM23, VM231 AZ Degree of Freedom

Transient Thermal

VM167 VM229

PLANE25 - 4-Node Axisymmetric-Harmonic Structural Solid Modal

Mode 0 and 2

VM67

Static Structural

Mode 1

VM43

PLANE35 - 2-D 6-Node Triangular Thermal Solid


17


Element Options

Steady-State Radiosity Steady-State Thermal

Test Cases VM228

Axisymmetric

VM58

PLANE53 - 2-D 8-Node Magnetic Solid Static Magnetic, Harmonic

VM188, VM206, VM207, VM220

PLANE55 - 2-D Thermal Solid Steady-State Thermal

Transient Thermal

VM98, VM99, VM100,VM105, VM118, VM193 Axisymmetric

VM32, VM102

Axisymmetric, Analogous Flow Field

VM163

Axisymmetric

VM111 VM104, VM113

PLANE75 - Axisymmetric-Harmonic Thermal Solid Steady-State Thermal

Mode 1

VM108

PLANE77 - 2-D 8-Node Thermal Solid Steady-State Radiosity Transient Thermal

VM227 Axisymmetric

VM112 VM28

PLANE78 - Axisymmetric-Harmonic 8-Node Thermal Solid Steady-State Thermal

Mode 2

VM160

PLANE83 - 8-Node Axisymmetric-Harmonic Structural Solid Static Structural

Modes 0 and 1

VM140

PLANE121 - 2-D 8-Node Electrostatic Solid Electrostatic

VM49, VM51, VM120

PLANE182 - 2-D Structural Solid Creep

VM224

Static Structural

VM5, VM16, VM18, VM38, VM46, VM155, VM178, VM191, VM201, VM205, VM211, VM236, VM248, VM249, VM251, VM252, VM255, VM262, VM267, VM268, VM269, VM272 Rate-independent Viscoplasticity VM198 Rate-dependent Viscoplasticity

Static, Buckling

18

VM199 VM128



Element Options

Test Cases

PLANE183 - 2-D 8-Node Structural Solid Creep Modal

VM224 Axisymmetric

Static Structural

VM181 VM25, VM56, VM142, VM143, VM180, VM201, VM211, VM238, VM243, VM248, VM249, VM251, VM252, VM256, VM279

Axisymmetric

VM63, VM200

Rate-independent Viscoplasticity VM198 Static Structural, Substructure

Rate-dependent Viscoplasticity

VM199

Plane Stress with Thickness Input

VM141

PLANE223 - 2-D 8-Node Coupled-Field Solid Coupled Field

VM174

Static and Transient Piezoelectric

VM237

Static Piezoresistive

VM238

Static Structural

VM23, VM207


VM119

Transient Thermal

VM229, VM236

PLANE233 - 2-D 8-Node Electromagnetic Solid Coupled Field


Static Magnetic

VM185 VM186


VM165

Static Structural

VM207, VM270

Static Structural, Harmonic

VM206

Transient Magnetic


VM167

PRETS179 - Pretension Static Structural

Preloading

VM225

REINF263 - 2-D Smeared Reinforcing Element Static Structural

VM209

SHELL28 - Shear/Twist Panel Modal

VM202

SHELL41 - Membrane Shell Static Structural

VM20, VM153

Static Structural, Modal

VM153


19


Element Options

Test Cases

SHELL61 - Axisymmetric-Harmonic Structural Shell Modal

Mode 0, 1, and 2

VM151

Modal, Static Structural

Mode 0, 1, and 2

VM152

Static Structural

Mode 1

VM44

SHELL63 - Elastic Shell

1


VM177

Modal

VM54, VM62, VM66

Static Structural

VM34, VM39, VM54,VM139 Snap-Through Buckling

VM17

SHELL131 - 4-Node Thermal Shell Steady State Thermal

VM97, VM103

SHELL132 - 8-Node Thermal Shell Steady State Thermal

VM103

SHELL157 - Coupled Thermal-Electric Shell Coupled-Field

VM215

SHELL181 - 4-Node Finite Strain Shell Harmonic

VM177

Modal

VM54, VM62, VM66, VM153, VM244, VM281

Static Structural

VM6, VM7, VM17, VM20, VM26, VM34, VM39, VM42, VM54, VM82 Large Deflection

VM26, VM218

Substructure

VM141

Transient Dynamic

VM265

SOLID185 - 8-Node Finite Strain Shell Modal

VM281

SHELL208 - 2-Node Finite Strain Axisymmetric Shell Static Structural

VM13, VM15, VM22, VM209 Large Deflection

VM218

Large Deflection, Stress Stiffening

VM137, VM138

Modal

VM55

SHELL281 - 8-Node Finite Strain Shell Harmonic

20

VM177



Element Options

Test Cases

Modal

VM54, VM60, VM62, VM66, VM244

Modal Harmonic

VM203

Response Spectrum Analysis

VM203

Static Structural

VM6, VM17, VM34, VM42, VM26, VM35, VM78, VM82, VM144, VM218

Substructure

VM141

SOLID5 - 3-D Coupled-Field Solid Coupled Field


VM173

MAG Degree of Freedom

VM168


Multi-field Coupling, Anisotropic VM176 Material Properties

Coupled Field, Modal


Static Structural


VM33

Displacement Field

VM184, VM187


VM173

SOLID65 - 3-D Reinforced Concrete Solid Static Structural

Cracking

VM146

SOLID70 - 3-D Thermal Solid Static Analysis

VM271


VM95, VM101, VM118

Transient Thermal

VM192

SOLID87 - 3-D 10-Node Tetrahedral Thermal Solid Steady-State Thermal

VM96

SOLID90 - 3-D 20-Node Thermal Solid Steady-State Radiosity

VM228


VM161, VM162

SOLID96 - 3-D 20-Node Structural Solid Static Structural

VM210

SOLID98 - Tetrahedral Coupled-Field Solid Static Structural

Displacement Field

VM184, VM187, VM233

Static Magnetic

MAG Degree of Freedom

VM169, VM190

SOLID122 - 3-D 20-Node Electrostatic Solid


21


Element Options

Electrostatic

Test Cases VM51

SOLID123 - 3-D 10-Node Tetrahedral Electrostatic Solid Element Electrostatic

VM51

SOLID185 - 3-D 8-Node Structural Solid Modal

VM244, VM274

Static Structural

VM7, VM37, VM38, VM56, VM82, VM143, VM144, VM189, VM191, VM196, VM201, VM211, VM221, VM225, VM234, VM240, VM248, VM250, VM251, VM253, VM256, VM272, VM273, VM274, VM279 Material Matrix

VM145

Rate-independent Viscoplasticity VM198 Rate-dependent Viscoplasticity

VM199

SOLID186 - 3-D 20-Node Structural Solid Static Structural

VM56, VM82, VM143, VM144, VM148, VM200, VM210, VM211, VM246 VM250, VM253, VM256, VM269, VM275, VM279

Modal

VM244, VM275

SOLID187 - 3-D 10-Node Tetrahedral Structural Solid Modal

VM244

Static Structural

VM184, VM187, VM246

SOLID226 - 3-D Thermal-Electric Solid Coupled Field

VM119



Coupled Field, Modal


Transient Thermal

VM33

SOLID227 - 3-D 10-Node Coupled-Field Solid Static Structural

VM223

SOLID231 3-D 20-Node Electric Solid Static Magnetic

VM241

SOLID232 3-D 10-Node Tetrahedral Solid Static Magnetic

VM241

SOLID236 3-D 20-Node Electromagnetic Solid Static Analysis

VM277

Static Magnetic

VM213, VM214, VM241

22



Element Options

Transient Analysis

Test Cases VM121

SOLID237 3-D 20-Node Tetrahedral Electromagnetic Solid Static Magnetic

VM241

SOLID239 3-D 20-Node Diffusion Solid Transient Analysis

VM150, VM276

SOLID272 - General axisymmetric solid with 4 base nodes Modal Analysis

VM263

SOLID273 - General axisymmetric solid with 8 base nodes Modal Analysis

VM263

SOLID278 - 3-D 8-Node Thermal Solid Steady-State Thermal

VM280

SOLID279 - 3-D 20-Node Thermal Solid Steady-State Thermal

VM280

SOLSH190 - 3-D Structural Solid Shell Static Structural

VM37, VM54, VM82, VM139, VM144

Modal

VM54, VM66, VM244

Full Harmonic

VM283

SOURC36 - Current Source Static Magnetic

VM168, VM190

SURF151 - 2-D Thermal Surface Effect Steady-State Thermal

AUX12

VM147 VM58

SURF152 - 3-D Thermal Surface Effect Static Structural

VM271 No Midside Nodes

VM192

SURF153 - 2-D Structural Surface Effect Static Structural

VM135, VM272 Axisymmetric, No Midside Nodes VM38

SURF154 - 3-D Structural Surface Effect Static Structural

VM272 Axisymmetric, No Midside Nodes VM38

SURF251 - 2-D Radiosity Surface Elements Steady-State Radiosity

VM228

SURF252 - 3-D Radiosity Surface


23


Element Options

Steady-State Radiosity

Test Cases VM228

TARGE169 - 2-D Target Segment Static Structural

VM23, VM64, VM65, VM211, VM255, VM272

Thermal Structural Contact

VM229

TARGE170 - 3-D Target Segment Static Structural

VM211, VM239, VM266, VM272, VM274, VM275 Rate-dependent Viscoplasticity

VM199

Static Analysis

VM278

Transient Dynamics

VM257, VM265

Modal

VM274, VM275


VM282

TRANS126 Modal

VM219

Static Structural

VM235

1. Documentation for this element is found in the Feature Archive.

24


VM1: Statically Indeterminate Reaction Force Analysis

Overview Reference:

S. Timoshenko, Strength of Material, Part I, Elementary Theory and Problems, 3rd Edition, D. Van Nostrand Co., Inc., New York, NY, 1955, pg. 26, problem 10.

Analysis Type(s):

Static Analysis (ANTYPE = 0)

Element Type(s):

3-D Spar (or Truss) Elements (LINK180)

Input Listing:

vm1.dat

Test Case A prismatic bar with built-in ends is loaded axially at two intermediate cross-sections by forces F1 and F2. Determine the reaction forces R1 and R2. Figure 1.1: Prismatic Bar Problem Sketch

Y

R 4 a b

F

3

ℓ

2

F

1

X

R Problem Sketch

Representative Finite Element Model

Material Properties E = 30 x 106psi

Geometric Properties ℓ = 10 in.

Loading F1 = 2F2 = 1000 lb

a = b = 0.3 ℓ

Analysis Assumptions and Modeling Notes Nodes are defined where loads are to be applied. Since stress results are not to be determined, a unit cross-sectional area is arbitrarily chosen.


25

VM1

Results Comparison Target

Mechanical APDL

Ratio

R1 , lb

900.0

900.0

1.000

R2 , lb

600.0

600.0

1.000

26


VM2: Beam Stresses and Deflections

Overview Reference:


Analysis Type(s):


Element Type(s):

3-D 2 Node Beam (BEAM188)

Input Listing:

vm2.dat

Test Case A standard 30" WF beam, with a cross-sectional area A, is supported as shown below and loaded on the overhangs by a uniformly distributed load w. Determine the maximum bending stress σ in the middle portion of the beam and the deflection δ at the middle of the beam. Figure 2.1: Beam with Cross Section Problem Sketch

w

w

z

a

a

ℓ Problem Sketch

Y

1

h

2

3

4

5

X

Representative Finite Element Model Material Properties E = 30 x 106 psi

Geometric Properties ℓ = 20 ft = 240 in. a = 10 ft = 120 in. h = 30 in.

Loading w = 10000 lb/ft = (10000/12) lb/in

A = 50.65 in2 Iz = 7892 in4


27

VM2

Analysis Assumptions and Modeling Notes An I-section beam is modeled. The width, depth, and thickness of the flanges are chosen to obtain the required area and moment of inertia values. Consistent length units (inches) are used. A half-model could also have been used because of symmetry.

Results Comparison

Stress, psi Deflection, in

Target

Mechanical APDL

Ratio

-11400.000

-11440.746

1.004

0.182

0.182

1.003

1. occurs at the bottom flange of the beam Figure 2.2: Displaced Geometry Display

28


VM3: Thermally Loaded Support Structure

Overview Reference:


Analysis Type(s):

Static, Thermal Stress Analysis (ANTYPE = 0)

Element Type(s):


Input Listing:

vm3.dat

Test Case Find the stresses in the copper and steel wire structure shown below. The wires have a cross-sectional area of A. The structure is subjected to a load Q and a temperature rise of ∆T after assembly. Figure 3.1: Support Structure Problem Sketch

Y X copper

steel

copper

1 4

rigid beam Q Problem Sketch Material Properties 6

Ec = 16 x 10 psi

2

3

5

6

Representative Finite Element Model Geometric Properties

Loading

2

Q = 4000 lb ∆T = 10°F

A = 0.1 in

αc = 92 x 10-7 in/in°F Es = 30 x 106 psi αs = 70 x 10-7 in/in°F

Analysis Assumptions and Modeling Notes Length of wires (20 in.), spacing between wires (10 in.), and the reference temperature (70°F) are arbitrarily selected. The rigid lower beam is modeled by nodal coupling.


29

VM3


Mechanical APDL

Ratio

Stress in steel, psi

19,695.

19,695.

1.000

Stress in copper, psi

10,152.

10,152.

1.000

30


VM4: Deflection of a Hinged Support

Overview Reference:


Analysis Type(s):


Element Type(s):


Input Listing:

vm4.dat

Test Case A structure consisting of two equal steel bars, each of length ℓ and cross-sectional area A, with hinged ends is subjected to the action of a load F. Determine the stress, σ, in the bars and the deflection, δ, of point 2. Neglect the weight of the bars as a small quantity in comparison with the load F. Figure 4.1: Hinged Support Problem Sketch

Y a 1

3

X

θ

θ

1

2

b 2 δ

F Problem Model Material Properties 6

E = 30 x 10 psi

Geometric Properties ℓ = 15 ft

Loading F = 5000 lb

A = 0.5 in2 Θ = 30°

Analysis Assumptions and Modeling Notes Consistent length units are used. The dimensions a and b are calculated parametrically in the input as follows: a = 2 ℓ cos Θ, b = ℓ sin Θ.


31

VM4


Mechanical APDL

Ratio

Stress, psi

10,000.

10,000.

1.000

Deflection, in

-0.120

-0.120

1.000

32


VM5: Laterally Loaded Tapered Support Structure

Overview Reference:

S. H. Crandall, N. C. Dahl, An Introduction to the Mechanics of Solids, McGraw-Hill Book Co., Inc., New York, NY, 1959, pg. 342, problem 7.18.

Analysis Type(s):

Static Analysis (ANTYPE = 0) 2-D 4-Node Sructural Solid Elements (PLANE182) 2-D 8-Node Structural Solid Elements (PLANE183)

Element Type(s):

vm5.dat

Input Listing:

Test Case A cantilever beam of thickness t and length ℓ has a depth which tapers uniformly from d at the tip to 3d at the wall. It is loaded by a force F at the tip, as shown. Find the maximum bending stress at the mid-length (X = ℓ ) and the fixed end of the beam. Figure 5.1: Cantilever Beam Problem Sketch

Y F X 3d

3d

d

d t 2 Material Properties E = 30 x 106 psi υ = 0.0

Geometric Properties ℓ = 50 in d = 3 in t = 2 in

Loading F= 4000 lb

The PLANE183 model uses the same node numbering at the element corners as the PLANE182 model and has additional midside nodes added to all elements.

Analysis Assumptions and Modeling Notes Two different solutions are obtained. The first solution uses lower order PLANE182 elements and the second solution uses higher order PLANE82 elements. The 2 inch thickness is incorporated by using the plane stress with thickness option. Poisson's ratio is set to 0.0 to agree with beam theory.


33

VM5

Results Comparison

PLANE182

PLANE183

Target

Mechanical APDL

Ratio

at mid-length stress, psi

8,333.

8,163.656

.980

at fixed end stress, psi

7,407.

7,151.096

.965

at mid-length stress, psi

8,333.

8,363.709

1.004

at fixed end stress, psi

7,407.

7,408.980

1.000

Figure 5.2: Displacement Display

34


VM6: Pinched Cylinder

Overview R. D. Cook, Concepts and Applications of Finite Element Analysis, 2nd Edition, John Wiley and Sons, Inc., New York, NY, 1981, pp. 284-287. H. Takemoto, R. D. Cook, "Some Modifications of an Isoparametric Shell Element", International Journal for Numerical Methods in Engineering, Vol. 7 No. 3, 1973.

Reference:


Analysis Type(s):

4-Node Finite Strain Shell Elements (SHELL181) 8-Node Finite Strain Shell Elements (SHELL281)

Element Type(s):

vm6.dat

Input Listing:

Test Case A thin-walled cylinder is pinched by a force F at the middle of the cylinder length. Determine the radial displacement δ at the point where F is applied. The ends of the cylinder are free edges. Figure 6.1: Pinched Cylinder Problem Sketch F 4

F 2

2

Y Z

r

X

Z L

t

r 2

F

Problem Sketch Material Properties E = 10.5 x 106 psi υ = 0.3125

Representative Finite Element Model Geometric Properties ℓ = 10.35 in r = 4.953 in t = 0.094 in

Loading F = 100 lb


35

VM6

Analysis Assumptions and Modeling Notes A one-eighth symmetry model is used. One-fourth of the load is applied due to symmetry.

Results Comparison Target[1]

Mechanical APDL

Ratio

Deflection, in SHELL181

0.1139

0.1100

0.965

Deflection, in SHELL281

0.1139

0.1137

0.998

1. H. Takemoto, R. D. Cook, "Some Modifications of an Isoparametric Shell Element".

36


VM7: Plastic Compression of a Pipe Assembly

Overview Reference:

S. H. Crandall, N. C. Dahl, An Introduction to the Mechanics of Solids, McGraw-Hill Book Co., Inc., New York, NY, 1959, pg. 180, ex. 5.1.

Analysis Type(s):

Static, Plastic Analysis (ANTYPE = 0)

Element Type(s):

Input Listing:

Plastic Straight Pipe Element (PIPE288) 4-Node Finite Strain Shell (SHELL181) 3-D Structural Solid Elements (SOLID185) vm7.dat

Test Case Two coaxial tubes, the inner one of 1020 CR steel and cross-sectional area As, and the outer one of 2024-T4 aluminum alloy and of area Aa, are compressed between heavy, flat end plates, as shown below. Determine the load-deflection curve of the assembly as it is compressed into the plastic region by an axial displacement. Assume that the end plates are so stiff that both tubes are shortened by exactly the same amount. Figure 7.1: Pipe Assembly Problem Sketch

(σyp)s

1020 CR

Stress (σyp)a

δ

2024-T4 0.0032 0.005

0

.01

.02

Strain Stress - Strain Curve

Problem Sketch


37

VM7 Figure 7.2: Pipe Assembly Finite Element Models Z

2

1

, 2

1 Y

X Representative Finite Element Model - PIPE20 Z 4

3

105 Y

117

116

115

108

107

106

113

112

111

101

118

θ 103

102

114

X

104

Representative Finite Element Model - SOLID45

Z

208 207

204

203

6

5

Y

206

205 201

θ X

202

Representative Finite Element Model - SHELL181

Material Properties Es = 26,875,000 psi σ(yp)s = 86,000 psi Ea = 11,000,000 psi σ(yp)a = 55,000 psi υ = 0.3

Geometric Properties ℓ = 10 in As = 7 in2 Aa = 12 in2

Loading 1st Load Step: δ = 0.032 in 2nd Load Step: δ = 0.050 in 3rd Load Step: δ = 0.100 in

Analysis Assumptions and Modeling Notes The following tube dimensions, which provide the desired cross-sectional areas, are arbitrarily chosen. Inner (steel) tube: inside radius = 1.9781692 in., wall thickness = 0.5 in. Outer (aluminum) tube: inside radius = 3.5697185 in., wall thickness = 0.5 in.

38


VM7 The problem can be solved in three ways: • using PIPE288 - the plastic straight pipe element • using SOLID185 - the 3-D structural solid element • using SHELL181 - the 4-Node Finite Strain Shell In the SOLID185 and SHELL181 cases, since the problem is axisymmetric, only a one element Θ-sector is modeled. A small angle Θ = 6° is arbitrarily chosen to reasonably approximate the circular boundary with straight sided elements. The nodes at the boundaries have the UX (radial) degree of freedom coupled. In the SHELL181 model, the nodes at the boundaries additionally have the ROTY degree of freedom coupled.

Results Comparison

PIPE288

Target

Mechanical APDL [1]

Ratio

Load, lb for Deflection = 0.032 in

1,024,400

1,024,400

1.00


1,262,000

1,262,000

1.00


1,262,000

1,262,000

1.00

1. From POST1 FSUM of bottom nodal forces (ΣFZ) for PIPE288 model.

SOLID185

SHELL181

Target

Mechanical APDL [1]

Ratio


1,024,400

1,022,529

0.998


1,262,000

1,259,695

0.998


1,262,000

1,259,695

0.998


1,024,400

1,023,932

1.000


1,262,000

1,261,654

1.000


1,262,000

1,261,708

1.000

1. From POST1 FSUM of bottom nodal forces (ΣFZ) X 360°/6°(Identified as parameter "LOAD") for SOLID185 and SHELL181 models.


39

40


VM8: Parametric Calculation of Point-to-Point Distances

Overview Reference:

Any Basic Geometry Text

Analysis Type(s):

Parametric Arithmetic

Element Type(s):

None

Input Listing:

vm8.dat

Test Case Write a user file macro to calculate the distance d between either nodes or keypoints in PREP7. Define abbreviations for calling the macro and verify the parametric expressions by using the macro to calculate the distance between nodes N1 and N2 and between keypoints K3 and K4. Figure 8.1: Parametric Calculation Problem Sketch

P2(x,y,z)

d

P1(x,y,z) Geometric Properties N1 (x, y, z) = 1.5,2.5,3.5 N2 (x, y, z) = -3.7,4.6,-3 K3 (x, y, z) = 100,0,30 K4 (x, y, z) = -200,25,80

Analysis Assumptions and Modeling Notes The user file is created by the *CREATE command within the run. In normal use, this file would most likely already exist locally. Colons are used in the user file to create non-echoing comments (the colon character specifies a branching label in Mechanical APDL). The active coordinate system is saved and restored within the macro to ensure Cartesian coordinates in the distance calculations and to re-establish the active coordinate system after the macro is used. Lowercase input is used throughout. Input case is preserved by Mechanical APDL where appropriate (system-dependent).


41

VM8


Mechanical APDL

Ratio

N1 - N2 distance (LEN2)

8.5849

8.58

1.000

K3 - K4 distance (LEN1)

305.16

305.16

1.000

42


VM9: Large Lateral Deflection of Unequal Stiffness Springs

Overview Reference:

G. N. Vanderplaats, Numerical Optimization Techniques for Engineering Design with Applications, McGraw-Hill Book Co., Inc., New York, NY, 1984, pp. 72-73, ex. 3-1.

Analysis Type(s):

Nonlinear Transient Dynamic Analysis (ANTYPE = 4) Spring-Damper Elements (COMBIN14) Combination Elements (COMBIN40)

Element Type(s):

vm9.dat

Input Listing:

Test Case A two-spring system is subjected to a force F as shown below. Determine the strain energy of the system and the displacements δx and δy. Figure 9.1: Unequal Stiffness Springs Problem Sketch

Y

3

2

F

k F 45

2 4

δx

5

δy

4

3

1 k

1

X

(a) Undeformed

(b) Deformed


43

VM9 Geometric Properties

Loading

ℓ = 10 cm k1 = 8 N/cm k2 = 1 N/cm m=1

=

Analysis Assumptions and Modeling Notes The solution to this problem is best obtained by adding mass and using the "slow dynamics" technique with approximately critical damping. Combination elements (COMBIN40) are used to provide damping in the X and Y directions. Approximate damping coefficients cx and cy, in the x and y directions respectively, are determined from x

=

x

y

=

y

where m is arbitrarily assumed to be unity. kx and ky cannot be known before solving so are approximated by ky = k2 = 1 N/cm and kx = ky/2 = 0.5 N/cm, hence cx = 1.41 and cy = 2.0. Large deflection analysis is performed due to the fact that the resistance to the load is a function of the deformed position. POST1 is used to extract results from the solution phase.


Mechanical APDL

Ratio

Strain Energy, N-cm

24.01

24.011

1.000

Deflectionx , cm

8.631

8.632

1.000

Deflectiony , cm

4.533

4.533

1.000

44


VM10: Bending of a Tee-Shaped Beam

Overview Reference:


Analysis Type(s):


Element Type(s):


Input Listing:

vm10.dat

Test Case Find the maximum tensile and compressive bending stresses in an unsymmetric T beam subjected to uniform bending Mz, with dimensions and geometric properties as shown below. Figure 10.1: Tee-Shaped Beam Problem Sketch Y

b

Mz 2h Mz

Y

Z h/2 X 6b

1 1

2

X

y

Problem Sketch

Material Properties E = 30 x 106 psi


Geometric Properties b = 1.5 in h = 8 in

Loading Mz = 100,000 in-lb

Analysis Assumptions and Modeling Notes A length of 100 in. is arbitrarily selected since the bending moment is constant. A T-section beam is modeled using flange width (6b), flange thickness (h/2), overall depth (2h + h/2), and stem thickness (b), input using SECDATA.


45

VM10


Mechanical APDL

Ratio

StressBEND,Bot, psi

300.

300.

1.00

StressBEND,Top, psi

-700.

-700.

1.00

46


VM11: Residual Stress Problem

Overview Reference:

S. H. Crandall, N. C. Dahl, An Introduction to the Mechanics of Solids, McGraw-Hill Book Co., Inc., New York, NY, 1959, pg. 234, problem 5.31.

Analysis Type(s):


Element Type(s):


Input Listing:

vm11.dat

Test Case A chain hoist is attached to the ceiling through three tie rods as shown below. The tie rods are made of cold-rolled steel with yield strength σyp and each has an area A. Find the deflection δ at load F1 when the deflections are elastic in all three rods. When the frame is loaded to F2 (where all three rods become fully plastic), and then unloaded, find the residual stress σr in the central rod. Figure 11.1: Residual Stress Problem Sketch

Y X 1

2 θ

σ

3

θ

ℓ

σyp

E ε

εy

4 F Problem Model Material Properties σyp = 30,000 psi 6

E = 30 x 10 psi

Stress-Strain Curve Geometric Properties 2

A = 1 in ℓ = 100 in Θ = 30°

Loading F1 = 51,961.5 lb F2 = 81,961.5 lb

Note F1 and F2 values are back-calculated from theoretical relationships.


47

VM11

Analysis Assumptions and Modeling Notes Automatic load stepping (AUTOTS,ON) is used to obtain the nonlinear plastic solution (load steps 2 and 3).

Results Comparison

Deflection at F1 , in Stressr , psi

Target

Mechanical APDL

Ratio

-0.07533

-0.07534

1.000

-5,650

-5,650.34429 [1]

1.000

1. SAXL in element solution printout for element 2.

48


VM12: Combined Bending and Torsion

Overview Reference:


Analysis Type(s):

Static Analysis (ANTYPE = 0) Elastic Straight Pipe Element (PIPE16) 3-D 2 Node pipe element (PIPE288)

Element Type(s):

vm12.dat

Input Listing:

Test Case A vertical bar of length ℓ is subjected to the action of a horizontal force F acting at a distance d from the axis of the bar. Determine the maximum principal stress σmax and the maximum shear stress τmax in the bar. Figure 12.1: Combined Bending and Torsion Problem Sketch

Z

2

Y

ℓ

X

1

Y

Y

X

X Problem Sketch

Top View

Material Properties E = 30 x 106 psi υ = 0.3

Geometric Properties ℓ = 25 ft d = 3 ft Section modulus

Representative Finite Element Model Loading F = 250 lb M = Fd = 9000 in-lb

(I/c) = 10 in3 Outer Diameter = 4.67017 in Wall Thickness = 2.33508 in


49

VM12

Analysis Assumptions and Modeling Notes Use consistent length units of inches. Real constants for PIPE16 and section properties for PIPE288 are used to define the pipe Outer Diameter and Wall Thickness. These values are calculated for a solid crosssection from the given section modulus. The offset load is applied as a centroidal force and a moment.


Mechanical APDL

Ratio

Principal stressmax, psi

7527.

7527.[2]

1.000

Shear stressmax, psi

3777.

3777.[3]

1.000

Principal stressmax, psi

7527.

7527

1.000

Shear stressmax, psi

3777.

3777

1.000

PIPE16

PIPE288

1. Solution recalculated 2. Corresponds to S1MX in element solution printout 3. Calculated as SINTMX/2 (SINTMX from element solution printout) since SINTMX is defined as twice the maximum shear stress.

50


VM13: Cylindrical Shell Under Pressure

Overview S. Timoshenko, Strength of Material, Part I, Elementary Theory and Problems, 3rd Edition, D. Van Nostrand Co., Inc., New York, NY, 1955, pg. 45, article 11. A. C. Ugural, S. K. Fenster, Advanced Strength and Applied Elasticity, Elsevier, 1981.

Reference:

Analysis Type(s):


Element Type(s):

2-Node Finite Strain Axisymmetric Shell (SHELL208)

Input Listing:

vm13.dat

Test Case A long cylindrical pressure vessel of mean diameter d and wall thickness t has closed ends and is subjected to an internal pressure P. Determine the axial stress σy and the hoop stress σz in the vessel at the midthickness of the wall. Figure 13.1: Cylindrical Shell Problem Sketch

Y

d

Y

P

x

P

X

t

Z d/2 t C

P Z

C Problem Sketch



51

VM13 Material Properties

Geometric Properties t = 1 in d = 120 in

E = 30 x 106 psi υ = 0.3

Loading P = 500 psi

Analysis Assumptions and Modeling Notes An arbitrary axial length of 10 inches is selected. Nodal coupling is used in the radial direction. An axial force of 5654866.8 lb ((Pπd2)/4) is applied to simulate the closed-end effect.


Mechanical APDL

Ratio

Stressy , psi

15,000.

15,000.[2]

1.000

Stressz , psi

29,749.

30,000.

1.008

1. Axial Stress σy is calculated (per S. Timoshenko, Strength of Material, Part I, Elementary Theory and Problems) using thin shell theory. Since SHELL208 uses thick shell logic to determine stress variations through the thickness, the hoop stress σz is calculated per A. C. Ugural, S. K. Fenster, Advanced Strength and Applied Elasticity. 2. SX in element solution printout since element X-axis is parallel to global Y-axis.

52


VM14: Large Deflection Eccentric Compression of a Column

Overview Reference:


Analysis Type(s):

Static, Large Deflection Analysis (ANTYPE = 0)

Element Type(s):

Elastic Tapered Unsymmetric Beam Elements (BEAM188)

Input Listing:

vm14.dat

Test Case Find the deflection ∆ at the middle and the maximum tensile and compressive stresses in an eccentrically compressed steel strut of length ℓ . The cross-section is a channel with moment of inertia I, area A, and flange width b. The ends are pinned at the point of load application. The distance between the centroid and the back of the channel is e, and the compressive force F acts in the plane of the back of the channel and in the symmetry plane of the channel. Figure 14.1: Slender Column Problem Sketch e

Y

F

Y F

Y

e

F

ℓ /2 t Z

ℓ /2

b

c.g. c.g.

Y

h

X

s

5 4 4

ℓ /2

t

3

ℓ /2

3

b 2

2 1 F

δ Problem Sketch

1

X



53


Geometric Properties

E = 30 x 106 psi υ = 0.3

Loading F = 4,000 lb

ℓ = 10 ft h = 8 in A = 0.22 in t = 0.39 in e = 0.6465 in b = 2.26 in

Analysis Assumptions and Modeling Notes Only one-half of the structure is modeled because of symmetry. The boundary conditions for the equivalent half model become fixed-free. Large deflection is needed since the stiffness of the structure and the loading change significantly with deflection. The offset e is defined in the element coordinate system.


Mechanical APDL

Ratio

Deflection, in

0.1086

0.1088[2]

1.002

Stresstens , psi

1803.6

1807.3448

1.002

Stresscomp , psi

-2394.5

-2396.0007

1.001

1. Solution recalculated 2. Corresponds to negative of X-deflection at node 5

54


VM15: Bending of a Circular Plate Using Axisymmetric Elements

Overview Reference:

S. Timoshenko, Strength of Material, Part II, Elementary Theory and Problems, 3rd Edition, D. Van Nostrand Co., Inc., New York, NY, 1956, pp. 96, 97, and 103.

Analysis Type(s):


Element Type(s):


Input Listing:

vm15.dat

Test Case A flat circular plate of radius r and thickness t is subject to various edge constraints and surface loadings. Determine the deflection δ at the middle and the maximum stress σmax for each case. Case 1: Uniform loading P, clamped edge. Case 2: Concentrated center loading F, clamped edge. Case 3: Uniform loading P/4, simply supported edge. Figure 15.1: Flat Circular Plate Problem Sketch

Y

Y F

P X Z

Z

Case 1 Y

X

Case 3

1

L1

3

L2

2

X

Keypoint and Line Segment Model

Material Properties E = 30 x 106 psi

t Case 2

Y P/4

Z

X

r

Geometric Properties r = 40 in

Loading P = 6 psi


55

VM15 Material Properties υ = 0.3

Geometric Properties t = 1 in

Loading F = 7,539.82 lb

Analysis Assumptions and Modeling Notes The stiffness matrix formed in the first load step is automatically reused in the second load step. A new stiffness matrix is automatically formed in the third load step because of changed boundary constraints. The mesh density is biased near the centerline and outer edge to recover stress values near those points.

Results Comparison

Case 1 Case 2

Target

Mechanical APDL [1]

Ratio

Deflection, in

-0.08736

-0.08764

1.003

Stressmax , psi

7200.

7040.373

0.978

Deflection, in

-0.08736

-0.08827

1.010

3600.

3568.272

0.991

Deflection, in

-0.08904

-0.08911

1.001

Stressmax , psi

2970.

2966.418

0.999

Stressmax , psi[2] Case 3

1. Theoretical σmax occurs at a node location; Mechanical APDL results, taken from element solution printout, are at the centroid of the nearest element. 2. This result is at the edge of the plate since point loading causes (theoretically) infinite stresses at the point of load application.

56


VM15 Figure 15.2: Displaced Geometry Displays

Window 1: Uniform Loading, Clamped Edge Window 2: Concentrated Loading, Clamped Edge Window 3: Uniform Loading Simply-supported Edge


57

58


VM16: Bending of a Solid Beam (Plane Elements)

Overview Reference:

R. J. Roark, Formulas for Stress and Strain, 4th Edition, McGraw-Hill Book Co., Inc., New York, NY, 1965, pp. 104, 106.

Analysis Type(s):

Static Analysis (ANTYPE = 0) 2-D Structural Solid Elements (PLANE42) 2-D 4 Node structural elements(PLANE182)

Element Type(s): Input Listing:

vm16.dat

Test Case A beam of length ℓ and height h is built-in at one end and loaded at the free end with: • a moment M • a shear force F For each case, determine the deflection δ at the free end and the bending stress σBend a distance d from the wall at the outside fiber. Figure 16.1: Bending of a Solid Beam with Plane Elements Problem Sketch

h

Y M

ℓ Case 1 F Case 2 Problem Sketch Material Properties E = 30 x 106 psi υ = 0.0

d 11

12

13

1

2

14

3

15

4

16

5

6

X

Representative Finite Element Model Geometric Properties ℓ = 10 in h = 2 in d = 1 in

Loading Case 1, M = 2000 in-lb Case 2, F = 300 lb

Analysis Assumptions and Modeling Notes The stiffness matrix formed in the first load step is also used in the second load step (automatically determined by Mechanical APDL). The end moment is represented by equal and opposite forces separated by a distance h. The bending stress is obtained from face stresses on element 1.


59

VM16


Mechanical APDL

Ratio

Deflection, in

0.00500

0.00500

1.000

StressBend , psi

3000

3000[1]

1.000

Deflection, in

0.00500

0.00505

1.010

StressBend , psi

4050

4050[1]

1.000

Deflection, in

0.00500

0.00500

1.000

StressBend , psi

3000

3000

1.000

Deflection, in

0.00500

0.00505

1.010

StressBend , psi

4050

4050

1.000

PLANE42 Case 1 Case 2 PLANE182 Case 1 Case 2

1. S(PAR) in face printout for element 1 in element solution printout.

60


VM17: Snap-Through Buckling of a Hinged Shell

Overview Reference:

C. C. Chang, “Periodically Restarted Quasi-Newton Updates in Constant Arc-Length Method”, Computers and Structures, Vol. 41 No. 5, 1991, pp. 963-972.

Analysis Type(s):

Static Analysis (ANTYPE = 0) Elastic Shell Elements (SHELL63) 4-Node Finite Strain Shell Elements (SHELL181) 8-Node Finite Strain Shell Elements (SHELL281)

Element Type(s):

vm17.dat

Input Listing:

Test Case A hinged cylindrical shell is subjected to a vertical point load (P) at its center. Find the vertical displacement (UY) at points A and B for the load of 1000 N. Figure 17.1: Hinged Shell Problem Sketch

Hinged

P

P

2ℓ

A

h

θ

Hinged B

θ

R

θ

z Problem Sketch Material Properties E = 3.10275 kN/mm υ = 0.3

2

x

Representative Finite Element Model Geometric Properties R = 2540 m ℓ = 254 m h = 6.35 m Θ = 0.1 rad

Loading P = 1000 N


61

VM17

Analysis Assumptions and Modeling Notes Due to symmetry, only a quarter of the structure is analyzed. The structure exhibits the nonlinear postbuckling behavior under the applied load. Therefore, a large deflection analysis is performed using the arc length solution technique. The results are observed in POST26. Three different analyses are performed, the first using electric shell elements (SHELL63), the second using low order finite strain shell elements (SHELL181), and the third using high order finite strain shell elements (SHELL281).


Mechanical APDL

Ratio

UY @ A, mm

-30.0

-31.7

1.057

UY @ B, mm

-26.0

-25.8

0.994

UY @ A, mm

-30.0

-31.5

1.051

UY @ B, mm

-26.0

-26.9

1.035

UY @ A, mm

-30.0

-31.3

1.043

UY @ B, mm

-26.0

-26.5

1.021

SHELL63

SHELL181

SHELL281

1. Target results are from graphical solution

62


VM17 Figure 17.2: Deflection and Total Load Plot


63

64


VM18: Out-of-Plane Bending of a Curved Bar

Overview Reference:

S. Timoshenko, Strength of Material, Part I, Elementary Theory and Problems, 3rd Edition, D. Van Nostrand Co., Inc., New York, NY, 1955, pg. 412, eq. 241.

Analysis Type(s):

Static Analysis (ANTYPE = 0) Elastic Curved Pipe Element (PIPE18) 3-D 3 Node Elbow Element (ELBOW290)

Element Type(s):

vm18.dat

Input Listing:

Test Case A portion of a horizontal circular ring, built-in at A, is loaded by a vertical (Z) load F applied at the end B. The ring has a solid circular cross-section of diameter d. Determine the deflection δ at end B, the maximum bending stress σBend, and the maximum torsional shear stress τ. Figure 18.1: Curved Bar Problem Sketch

A X

θ

B Y

1

10

X

Z Problem Sketch

2 Y Z Representative Finite Element Model

Material Properties E = 30 x 106 psi υ = 0.3

Geometric Properties r = 100 in d = 2 in Θ = 90°

Loading F = 50 lb


65

VM18

Analysis Assumptions and Modeling Notes Node 10 is arbitrarily located on the radius of curvature side of the element to define the plane of the elbow when PIPE18 elements are used. The wall thickness is set to half the diameter for a solid bar.


Mechanical APDL

Ratio

Deflection, in

-2.648

-2.650

1.001

StressBend, psi

6366.

6366.198[1]

1.000

Shear stress, psi

-3183.

-3183.099[2]

1.000

Deflection, in

-2.648

-2.692

1.016

StressBend, psi

6366.

6283.925

0.987

Shear stress, psi

-3183.

3182.300

1.000

PIPE18

ELBOW290

1. Corresponds to maximum SAXL at 0° angle location in element solution output. 2. Corresponds to SXH at 0° angle location in element solution output.

66


VM19: Random Vibration Analysis of a Deep Simply-Supported Beam

Overview NAFEMS, Selected Benchmarks for Forced Vibration, Report prepared by W. S. Atking Engineering Sciences, April 1989, Test 5R.

Reference:

Mode-frequency, Spectrum Analysis (ANTYPE = 8)

Analysis Type(s): Element Type(s):

3-D 2 node beam (BEAM188)

Input Listing:

vm19.dat

Test Case A deep simply-supported square beam of length ℓ , thickness t, and mass density m is subjected to random uniform force power spectral density. Determine the peak response PSD value. Figure 19.1: Simply-Supported Beam Problem Sketch

t Y

PSD (N/m)2/Hz

cross section

10 2 X

Z

Frequency f(Hz)

ℓ Problem Sketch Material Properties E = 200 x 109 N/m2 υ = 0.3

Forcing Function (Temporal) Geometric Properties

Loading PSD = (106 N/m)2 /Hz Damping δ = 2%

ℓ = 10. m t = 2.0 m

m = 8000 Kg/m3

Analysis Assumptions and Modeling Notes Modal analysis is performed using Block-Lanczos eigensolver. A frequency range of .1 Hz to 70 Hz was used as an approximation of the white noise PSD forcing function frequency.


Mechanical APDL

Ratio

Modal Frequency f (Hz)

42.65

42.63

1.00

PSD Freq (Hz)

42.66

42.63

1.00

180.90

179.18 [1]

0.99

58515.60

57848.39 1]

0.99

2

Peak d PSD(mm /Hz) 22

Peak stress PSD(N/mm ) /Hz


67

VM19 1. The peak value occurred at frequency 42.63 Hz.

68


VM20: Cylindrical Membrane Under Pressure

Overview Reference:

S. Timoshenko, Strength of Material, Part II, Elementary Theory and Problems, 3rd Edition, D. Van Nostrand Co., Inc., New York, NY, 1956, pg. 121, article 25.

Analysis Type(s):

Static Analysis (ANTYPE = 0) Membrane Shell Element (SHELL41) 4-Node Finite Strain Shell Elements (SHELL181)


vm20.dat

Test Case A long cylindrical membrane container of diameter d and wall thickness t is subjected to a uniform internal pressure P. Determine the axial stress σ1 and the hoop stress σ2 in the container. See VM13 for the problem sketch. Figure 20.1: Cylindrical Membrane Problem Sketch

Z Y

4 2 3 θ

1

d/2

X

Representative Finite Element Model Material Properties E = 30 x 106 psi υ = 0.3

Geometric Properties d = 120 in t = 1 in

Loading P = 500 psi

Analysis Assumptions and Modeling Notes An arbitrary axial length is selected. Since the problem is axisymmetric, only a one element sector is needed. A small angle Θ = 10° is used for approximating the circular boundary with a straight-sided element. Nodal coupling is used at the boundaries. An axial traction of 15,000 psi is applied to the edge of the element to simulate the closed-end effect. The internal pressure is applied as an equivalent negative pressure on the exterior (face 1) of the element. The model is first solved using membrane shell elements (SHELL41) and then using finite strain shell elements (SHELL181) using the membrane option (KEYOPT(1) = 1).


69

VM20


Mechanical APDL

Ratio

Stress1 , psi

15,000

15,000

1.000

Stress2 , psi

29,749

29,886

1.005

Stress1 , psi

15,000

15,000

1.000

Stress2 , psi

29,749

29,886

1.005

SHELL41

SHELL181

70


VM21: Tie Rod with Lateral Loading

Overview Reference:


Analysis Type(s):

Static, Stress Stiffening Analysis (ANTYPE = 0)

Element Type(s):

3-D 2 node beam (BEAM188)

Input Listing:

vm21.dat

Test Case A tie rod is subjected to the action of a tensile force F and a uniform lateral load p. Determine the maximum deflection zmax, the slope Θ at the left-hand end, and the maximum bending moment Mmax. In addition, determine the same three quantities for the unstiffened tie rod (F = 0). Figure 21.1: Tie Rod Problem Sketch

p b θ

h

Zx

ℓ Problem Sketch

Z

ℓ/ Y 1

2

3

4

5

X

Representative Finite Element Model Material Properties E = 30 x 106 psi

Geometric Properties ℓ = 200 in b = h = 2.5 in

Loading F = 21,972.6 lb p = 1.79253 lb/in

Analysis Assumptions and Modeling Notes Due to symmetry, only one-half of the beam is modeled. The full load is applied for each iteration. The first solution represents the unstiffened case. The second solution represents the stiffened case. Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

71

VM21

Results Comparison

F neq 0 (stiffened)

F = 0 (unstiffened)

Target

Mechanical APDL

Ratio

-0.19945

-0.19956

1.001

0.0032352

0.0032353

1.000

Mmax , in-lb

-4580.1

-4579.818

1.000

Zmax , in

-0.38241

-0.38255

1.001

0.0061185

0.0061185

1.000

-8962.7

-8962.65

1.000

Zmax , in Slope, rad

Slope, rad Mmax , in-lb

72


VM22: Small Deflection of a Belleville Spring

Overview Reference:

S. Timoshenko, Strength of Material, Part II, Elementary Theory and Problems, 3rd Edition, D. Van Nostrand Co., Inc., New York, NY, 1956, pg. 143, problem 2.

Analysis Type(s):


Element Type(s):


Input Listing:

vm22.dat

Test Case The conical ring shown below represents an element of a Belleville spring. Determine the deflection y produced by a load F per unit length on the inner edge of the ring. Figure 22.1: Belleville Spring Problem Sketch

Y

β

X C Problem Sketch

Y 1 2

X

Representative Finite Element Model Material Properties E = 30 x 106 psi υ = 0.0

Geometric Properties a = 1 in b = 1.5 in t = 0.2 in β = 7° = 0.12217 rad

Loading F = 100 lb/in


73

VM22

Analysis Assumptions and Modeling Notes The input force, -2 πF = -628.31853 lb., is applied per full circumference.

Results Comparison

y, in

74

Target

Mechanical APDL

Ratio

-0.0028205

-0.0028571

1.013


VM23: Thermal-structural Contact of Two Bodies

Overview Reference:

Any Basic Mechanics Text

Analysis Type(s):

Static Analysis (ANTYPE = 0) 2-D Coupled-Field Solid Element (PLANE13) 2-D Coupled-Field Solid Element (PLANE223) 2-D/3-D Node-to-Surface Contact Element (CONTA175) 2-D Target Segment Element (TARGE169)

Element Type(s):

vm23.dat

Input Listing:

Test Case Two bodies, A and B, are initially at a temperature of 100°C. A temperature of 500°C is then imposed at the left edge, EA1, of A. Further, the right edge, EB2, of B is heated to attain a temperature of 850°C and is subsequently cooled back to 100°C. Compute the interface temperature (right edge) of A, EA2, and the amount of heat flow through the interface when the right edge of EB2 is at 600°C and 850°C, respectively. Also, compute the heat flow through the interface when B is subsequently cooled to 100°C. Figure 23.1: Contact Problem Sketch δℓ

EA2

h EA1

E 1

B

ℓ1

ℓ2

E 2

Problem Sketch (not to scale) 5

6

7

8

3

4

Representative Finite Element Model Material Properties E = 10 x 106 N/m2

Geometric Properties h = 0.1 m

Loading Tref = 100°C


75



K = 250 W/m°C

Loading Load Step 1 T@E1 = 500°C Load Step 2 T@E2 = 850°C Load Step 3 T@E2 = 100°C

ℓ 1 = 0.4 m

-6

α = 12 x 10 m/m°C Contact Conductance = 100 W/°C (per contact element)

ℓ 2 = 0.5 m δ ℓ = 0.0035 m

Analysis Assumptions and Modeling Notes A coupled-field analysis is performed to solve this thermal/structural contact problem using PLANE13 elements and PLANE223 elements with weak coupling. The interface is modeled using CONTA175 and TARGE169 elements with the heat conduction option.


Mechanical APDL

Ratio

Using PLANE13 Elements T @ EB2 = 600°C T @ EB2 = 850°C T @ EB2 = 100°C

T @ EA2 (°C)

539.0 539.0

1.000

QW

2439.0 2439.0

1.000

T @ EA2 (°C)

636.6 636.6

1.000

QW

8536.6 8536.6

1.000

QW

0.0

--

0.0

Using PLANE223 Elements T @ EB2 = 600°C T @ EB2 = 850°C T @ EB2 = 100°C

76

T @ EA2 (°C)

539.0 539.0

1.000

QW

2439.0 2439.0

1.000

T @ EA2 (°C)

636.6 636.6

1.000

QW

8536.6 8536.6

1.000

QW

0.0

--

0.0


VM24: Plastic Hinge in a Rectangular Beam

Overview Reference:


Analysis Type(s):


Element Type(s):

3-D Plastic Beam Element (BEAM188)

Input Listing:

vm24.dat

Test Case A rectangular beam is loaded in pure bending. For an elastic-perfectly-plastic stress-strain behavior, show that the beam remains elastic at M = Myp = σyp bh2/6 and becomes completely plastic at M = Mult = 1.5 Myp. Figure 24.1: Plastic Hinge Problem Sketch

Y

Y

M

M X

Z

h

Problem Sketch σ

Y σy ε σy

1 St ss-Stain Cuv

Material Properties E = 30 x 106 psi υ = 0.3 σyp = 36000 psi

Geometric Properties b = 1 in h = 2 in Iz = b h3/12 = 0.6667

2

X

R p s ntativ Finit E m nt Md Loading M = 1.0 Myp to 1.5 Myp (Myp = 24000 in-lb)

in4


77

VM24

Analysis Assumptions and Modeling Notes Bilinear kinematic hardening (BKIN) and 6 cells are used through the thickness An arbitrary beam length is chosen. Because of symmetry, only half of the structure is modeled (since length is arbitrary, this means only that boundary conditions are changed). The load is applied in four increments using a do-loop, and convergence status is determined from the axial plastic strain for each load step in POST26.

Results Comparison (for both analyses) M/Myp

Target Rotation

Mechanical APDL

Ratio

1.0

0.01200

0.01200

1.000

1.1666

0.01469

0.01459

0.993

1.3333

0.02078

0.02027

0.975

1.5

∞

0.11850

NA

78


VM25: Stresses in a Long Cylinder

Overview Reference:

S. Timoshenko, Strength of Material, Part II, Elementary Theory and Problems, 3rd Edition, D. Van Nostrand Co., Inc., New York, NY, 1956, pg. 213, problem 1 and pg. 213, article 42.

Analysis Type(s):


Element Type(s):

2-D 8-Node Structural Solid Elements (PLANE183)

Input Listing:

vm25.dat

Test Case A long thick-walled cylinder is initially subjected to an internal pressure p. Determine the radial displacement δr at the inner surface, the radial stress σr, and tangential stress σt, at the inner and outer surfaces and at the middle wall thickness. Internal pressure is then removed and the cylinder is subjected to a rotation ω about its center line. Determine the radial σr and tangential σt stresses at the inner wall and at an interior point located at r = Xi.


79

VM25 Figure 25.1: Long Cylinder Problem Sketch

X

Z

Y

Y p b a

ω

3

4

1 Problem Sketch Material Properties E = 30 x 106 psi υ = 0.3 ρ = 0.00073 lb-sec2/in4

2

Keypoint and Area Model Geometric Properties a = 4 inches b = 8 inches Xi = 5.43 inches

Loading p = 30,000 psi ω = 1000 rad/sec

Analysis Assumptions and Modeling Notes The axial length is arbitrarily selected. Elements are oriented such that surface stresses may be obtained at the inner and outer cylinder surfaces. POST1 is used to display linearized stresses through the thickness of the cylinder when it is subjected to an internal pressure.

80


VM25

Results Comparison

p = 30,000 psi

Rotation = 1000 rad/sec

Target

Mechanical APDL

Ratio

Displacementr, in (r = 4 in)

0.0078666

0.0078667

1.000

Stressr, psi (r = 4 in)

-30000.


-7778.

-7757.541

0.997


0.

6.734

--

Stresst, psi (r = 4 in)

50000.


27778.

27757.541

0.999


20000.

19993.265

1.000


0.0

49.307

--


40588.

40526.285

0.998

Stressr, psi (r = 5.43 in)

4753.

4745.722

0.998

Stresst, psi (r = 5.43 in)

29436.

29406.567

0.999

-29908.046875

49908.046875

0.997

0.998

Figure 25.2: SZ Stresses Along a Section (Internal Pressure)


81

VM25 Figure 25.3: SX Stresses Along a Section (Internal Pressure)

82


VM26: Large Deflection of a Cantilever

Overview Reference:

K. J. Bathe, E. N. Dvorkin, "A Formulation of General Shell Elements - The Use of Mixed Interpolation of Tensorial Components”, Int. Journal for Numerical Methods in Engineering, Vol. 22 No. 3, 1986, pg. 720.

Analysis Type(s):

Static, Large Deflection Analysis (ANTYPE = 0) 4-Node Finite Strain Shell (SHELL181) 8-Node Finite Strain Shell (SHELL281)


vm26.dat

Test Case A cantilevered plate of length ℓ , width b, and thickness t is fixed at one end and subjected to a pure bending moment M at the free end. Determine the true (large deflection) free-end displacements and rotation, and the top surface stress at the fixed end, using shell elements. Figure 26.1: Cantilever Problem Sketch Z

Y

M t

X

ℓ

(not to scale)

Problem Sketch

Material Properties E = 1800 N/mm2 υ = 0.0

b


Geometric Properties ℓ = 12 mm b = 1 mm t = 1 mm

Loading M = 15.708 N-mm

Analysis Assumptions and Modeling Notes The large deflection option is chosen (NLGEOM,ON) and shell elements are used to match the reference's assumptions and test case definition. Since the geometry is closer to that of a beam, a shell element is not the usual element type to solve problems of this geometry. The free-end nodes are coupled in y-rotations so that the bending moment M can be applied to only one end node. The load is applied in two equal increments, using the analysis restart option (solely for validation and demonstration of ANTYPE,,REST).


83

VM26

Results Comparison

SHELL181

SHELL281

Target[1]

Mechanical APDL

Ratio

UX, node 4 (mm)

-2.90

-2.77

0.95

UZ, node 4 (mm)

-6.50

-6.71

1.03

ROTY, node 4 (rad)

1.26

1.26

1.00

Stressx , node 1 (N/mm2)

94.25

94.25

1.00

UX, node 4 (mm)

-2.90

-2.92

1.01

UZ, node 4 (mm)

-6.50

-6.60

1.02

ROTY, node 4 (rad)

1.26

1.26

1.00

Stressx , node 1 (N/mm2)

94.25

94.31

1.00

1. to accuracy of graphical readout

84


VM27: Thermal Expansion to Close a Gap

Overview Reference:

C. O. Harris, Introduction to Stress Analysis, The Macmillan Co., New York, NY, 1959, pg. 58, problem 8.

Analysis Type(s):

Static, Thermal-stress Analysis (ANTYPE = 0) 3-D Spar (or Truss) Elements (LINK180) 3-D Node-to-Node Contact Elements (CONTA178)


vm27.dat

Test Case An aluminum-alloy bar is fixed at one end and has a gap δ between its other end and a rigid wall when at ambient temperature Ta. Calculate the stress σ, and the thermal strain εThermal in the bar after it has been heated to temperature T. Figure 27.1: Gap Problem Sketch δ

Y 2

ℓ

1

Problem Sketch Material Properties E = 10.5 x 106 psi α = 12.5 x 10-6 in/in-°F

3

X

Representative Finite Element Model Geometric Properties ℓ = 3 in δ = 0.002 in

Loading Ta = 70°F T = 170°F

Analysis Assumptions and Modeling Notes The problem is solved in 3-D using LINK180 and CONTA178 elements. Models are created at arbitrary angles. The gap stiffness is arbitrarily selected at a high value (10 x 1010 psi) to approximate the rigid wall. The automatic load stepping procedure (AUTOTS,ON) is used.


85

VM27

Results Comparison

3-D Analysis

Stress, psi StrainThermal

86

Target

Mechanical APDL

Ratio

-6125.

-6124.785

1.000

0.00125

0.00125

1.000


VM28: Transient Heat Transfer in an Infinite Slab

Overview Reference:

J. P. Holman, Heat Transfer, 4th Edition, McGraw-Hill Book Co., Inc., New York, NY, 1976, pg. 106.

Analysis Type(s):

Thermal Analysis (ANTYPE = 4)

Element Type(s):

2-D 8-Node Thermal Solid Element (PLANE77)

Input Listing:

vm28.dat

Test Case A semi-infinite solid is initially at temperature To. The solid is then suddenly exposed to an environment having a temperature Te and a surface convection coefficient h. Determine the temperature distribution through the solid after 2000 seconds. Figure 28.1: Infinite Slab Problem Sketch h

12

24

T(0) = T a

Y

1

13

X

b Problem Sketch

Material Properties k = 54 W/m°C 3

ρ = 7833 kg/m c = 465 J/kg-°C


Geometric Properties a=1m b = 0.1 m

Loading To = 0°C Te = 1000°C h = 50 W/m2-°C


87

VM28

Analysis Assumptions and Modeling Notes The width b of 0.1 m is arbitrarily selected for the elements. The model length a (1 meter) is selected to model the infinite boundary such that no significant temperature change occurs at the inside end points (nodes 1, 13) for the time period of interest. The node locations are selected with a higher density near the surface to better model the transient behavior. The automatic time stepping procedure (AUTOTS,ON) is used with an initial integration time step of 10 sec (2000 sec/200 max. iterations = 10) to more closely model the thermal shock at the surface.

Results Comparison Temperature °C

Target

Mechanical APDL

Ratio

@ Y = .9777 (Node 11)

140.0

140.7

1.005

@ Y = .9141 (Node9)

98.9

99.1

1.00

@ Y = .8134 (Node 7)

51.8

51.7

0.997

@ Y = .6538 (Node 5)

14.5

14.0

0.968

88


VM29: Friction on a Support Block

Overview Reference:

F. P. Beer, E. R. Johnston, Jr., Vector Mechanics for Engineers, Statics and Dynamics, McGraw-Hill Book Co., Inc., New York, NY, 1962, pg. 283, problem 8.2.

Analysis Type(s):

Static Analysis (ANTYPE = 0) 2-D Point-to-Point Contact Elements (CONTAC12) 3-D Node-to-Node Contact Elements (CONTA178)

Element Type(s):

vm29.dat

Input Listing:

Test Case A support block is acted upon by forces Fx and Fy. For a given value of Fy determine the smallest value of Fx which will prevent the support block from sliding down the plane. Also determine the normal force Fn and sliding force Fs at the interface. Figure 29.1: Support Block Problem Sketch Fy

Y

Fx 1 θ

Problem Sketch Material Properties µ = 0.3

X

Representative Finite Element Model Geometric Properties Θ = 20

Loading Fy = 100 lb

Analysis Assumptions and Modeling Notes A real problem of this nature would be solved in a trial-and-error, iterative fashion. In this case the theoretical answer is known, so the solution is verified by the "backward" process described below. The normal stiffness of the sticking interface is arbitrarily selected at a high value. A value slightly greater than the calculated Fx value of 5.76728 lb is input in the first load step. A slightly lesser value is input in the second load step. The number of sub-steps is limited to one to prevent divergence due to the free motion of the block. The problem is first solved using CONTAC12 elements and then using CONTA178 elements. For CONTA178 elements the contact normals are defined using real constants NX, NY and NZ.


89

VM29

Results Comparison Status

Target

Mechanical APDL

Ratio

Fx = 5.7674 lb.

Sticking

Sticking

--

Fn , lb

-95.942

-95.942

1.000

Fs , lb

28.783

28.782

1.000

Sliding

Sliding

--

Fn , lb

-95.942

-95.942

1.000

Fs , lb

28.783

28.783

1.000

Fx = 5.76724 lb.

Sticking

Sticking

--

Fn , lb

-95.942

-95.942

1.000

Fs , lb

28.783

28.782

1.000

Fx = 5.76720 lb.

Sliding

Sliding

--

Fn , lb

-95.942

-95.942

1.000

Fs , lb

28.783

28.783

1.000

Fx = 5.76720 lb.

CONTA178 elements

90


VM30: Solid Model of Surface Fillet

Overview Reference:

D. R. Hose, I. A. Rutherford, "Benchmarks for Finite Element Pre-processors", NAFEMS Ref: R0001, December 1993, pg. 23.

Analysis Type(s):

Solid Modeling Boolean Operations

Element Type(s):

Not Applicable

Input Listing:

vm30.dat

Test Case A rectangular plate and a trapezoidal plate intersect at an angle of 90° with a common radius fillet of 1 mm. The edge of the fillet lies in a plane. From solid model construction, determine the accuracy of the fillet operation by measuring the out-of-plane deviation of subsequent meshed node locations. Figure 30.1: Surface Fillet Problem Sketch

ℓ /2 h

Y

X

h

Z

θ

ℓ

Problem Sketch

Geometric Properties ℓ = 8 mm h = 2 mm Θ = 1355

Analysis Assumptions and Modeling Notes The model is created using geometric primitives. The fillet is created using an area fillet operation. A glue operation is used to provide continuity for creating the fillet. An arbitrary element type (SHELL281) is defined for meshing purposes. A local coordinate system is created in the plane of the weld. The Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

91

VM30 nodes are listed in that coordinate system to access the maximum out-of-plane deviation. The maximum absolute deviation is reported.

Results Comparison

Maximum Deviation (mm)

Target

Mechanical APDL

Ratio

0

2.91 x 10-7

--

Figure 30.2: Area Plot

92


VM30 Figure 30.3: Element Plot


93

94


VM31: Cable Supporting Hanging Loads

Overview Reference:

F. P. Beer, E. R. Johnston, Jr., Vector Mechanics for Engineers, Statics and Dynamics, McGraw-Hill Book Co., Inc., New York, NY, 1962, pg. 260, problem 7.8.

Analysis Type(s):

Static, Stress Stiffening Analysis (ANTYPE = 0)

Element Type(s):


Input Listing:

vm31.dat

Test Case The cable AE supports three vertical loads from the points indicated. For the equilibrium position shown, determine the horizontal Ax and vertical Ay reaction forces at point A and the maximum tension T in the cable. Figure 31.1: Hanging Load Problem Sketch

5E

Y

2ℓ

4 F

ℓ A

ℓ1

3

2

X

ℓ 2

F

F

2ℓ

ℓ 2

ℓ

ℓ 2

Problem Model Material Properties E = 20 x 106 ksi

Geometric Properties Area of cable = 0.1 2

ft ℓ = 10 ft ℓ 1 = 5.56 ft

Loading F1 = 4 kips F2 = 6 kips

ℓ 2 = 5.83 ft


95

VM31

Analysis Assumptions and Modeling Notes An iterative solution is required. A small initial strain (1 x 10-7) is input to give some initial stiffness to the cable.


Mechanical APDL

Ratio

Ax , Kips

-18.000

-17.997

1.000

Ay , Kips

5.0000

5.0009

1.000

T, Kips

24.762

24.755[2]

1.000

1. Solution recalculated 2. Corresponds to MFORX for element 4 in element solution output

96


VM32: Thermal Stresses in a Long Cylinder

Overview Reference:

S. Timoshenko, Strength of Material, Part II, Elementary Theory and Problems, 3rd Edition, D. Van Nostrand Co., Inc., New York, NY, 1956, pg. 234, problem 1.

Analysis Type(s):

Static Analysis (ANTYPE = 0) 2-D Thermal Solid Elements (PLANE55) 2-D Structural Solid Elements (PLANE42)

Element Type(s):

vm32.dat

Input Listing:

Test Case A long thick-walled cylinder is maintained at a temperature Ti on the inner surface and To on the outer surface. Determine the temperature distribution through the wall thickness. Also determine the axial stress σa and the tangential (hoop) stress σt at the inner and outer surfaces. Figure 32.1: Long Cylinder Problem Sketch

Y

T X

T

T T

Z Problem Sketch Y b a

11 12 13 14 1

2

3

15

4

16

5

1

6

18 7

8



97

VM32 Material Properties E = 30 x 106 psi -5

α = 1.435 x 10 in/in°C υ = 0.3 k = 3Btu/hr-in-°C


Loading

a = 0.1875 inches b = 0.625 inches

Ti = -1°C To = 0°C

Analysis Assumptions and Modeling Notes The axial length is arbitrary. Two element types are defined so that the same model can be used for the thermal and stress solutions. A radial grid with nonuniform spacing ratio (1:2) is used since the largest rate of change of the thermal gradient occurs at the inner surface. Surface stresses are requested on element 1 and 7 to obtain more accurate axial and hoop stresses at the inner and outer radii. Nodal coupling is used in the static stress analysis.

Results Comparison Thermal Analysis

Target

Mechanical APDL

Ratio

T,°C (at X = 0.1875 in)

-1.0000

-1.0000

1.000

T,°C (at X = 0.2788 in)

-0.67037

-0.67061

1.000

T,°C (at X = 0.625 in)

0.0000

0.0000

-

Static Analysis

Target

Mechanical APDL

Ratio

Stressa, psi (at X = 0.1875 in)

420.42

432.59

1.029

Stresst, psi (at X = 0.1875 in)

420.42

426.49

1.014

Stressa, psi (at X = 0.625 in)

-194.58

-190.05

0.977

Stresst, psi (at X = 0.625 in)

-194.58

-189.76

0.975

98


VM33: Transient Thermal Stress in a Cylinder

Overview Reference:

R. J. Roark, W. C. Young, Formulas for Stress and Strain, 5th Edition, McGraw-Hill Book Co., Inc., New York, NY, 1975, pg. 585.

Analysis Type(s):

Coupled-field Analysis (ANTYPE = 4)


3-D Coupled-field Solid Element (SOLID5) 3-D 20-Node Coupled-Field Solid (SOLID226) vm33.dat

Test Case A long thick-walled cylinder, initially at a uniform temperature To, has its outer radius temperature raised at a constant rate of 1.0°/sec to temperature Tf. After a steady state of heat flow has been reached, determine the tangential stress at the inner and outer surfaces. Display the outer-to-inner surface temperature difference and the tangential stress as a function of time.


99

VM33 Figure 33.1: Cylinder Problem Sketch

Tf(t)

b

Tf(t)

a

To To Prlem Skec 4 2

Z

8

5° X

6 Y

h

3

7

1 5 Keypin nd Line Segmen Mdel Material Properties E = 30 x 106 psi υ = 0.3 α = 8.4 x 10-6 in/in-°F k = .000625 BTU/sec in°F

Geometric Properties a = 1.0 in b = 3.0 in h = .20 in

Loading Tb = 500°F To = 70°F

ρ = 0.284 lb-sec2/in4 c = .10 BTU/lb-°F

Analysis Assumptions and Modeling Notes Due to symmetry, only a wedge of arbitrary height is required for modeling. A 5° wedge is selected to minimize curved geometry effects when using a lower order element. The thermal steady state condition is satisfied when the inner and outer wall temperature difference is constant. A transient thermal-stress analysis is required with a sufficient time period to allow the steady-state condition to be obtained. A time period of t = 430 sec is selected. The temperature Tf is assigned a value of T = 500°F such that, for a ramped load condition, the constant temperature rise of: Tf-To/∆t = 500-70/430 = 1°F/sec is obtained.

100


VM33 Since the structural dynamic effects are not of concern, inertial and damping structural effects can be ignored, by specifying time integration for the temperature degree of freedom only. A sufficient number of elements (15) is modeled through the thickness such that an accurate thermal transient and nodal stress results are obtained. Symmetric structural boundary conditions are used at the radial and bottom planes. Since the cylinder being modeled is long, nodes at z = h are coupled in UZ to enforce a constant axial strain condition. The reported values at t = 430 sec. should be fairly accurate since thermal steady state is achieved.

Results Comparison Tangential Stress

Target

Mechanical APDL

Ratio

Stressypsi(r=b)

-13396

-13097

0.978

Stressypsi(r=a)

10342

10425

1.008

Stressypsi(r=b)

-13396

-13360

0.997

Stressypsi(r=a)

10342

10325

0.998

SOLID5

SOLID226

Figure 33.2: Outer-to-inner Surface Temperature Difference


101

VM33 Figure 33.3: Tangential Stress as a Function of Time

102


VM34: Bending of a Tapered Plate (Beam)

Overview Reference:


Analysis Type(s):


Element Type(s):

Input Listing:

Elastic Shell Elements (SHELL63) 3-D Elastic Tapered Unsymmetric Beam Element (BEAM188) 4-Node Finite Strain Shell Elements (SHELL181) 8-Node Structural Shell (SHELL281) vm34.dat

Test Case A tapered cantilever plate of rectangular cross-section is subjected to a load F at its tip. Find the maximum deflection δ and the maximum principal stress σ1 in the plate.


103

VM34 Figure 34.1: Beam Problem Sketch Y

Z

F

t

d

X

X L Problem Sketch Y

1 2 2

4

3

6

X 8

4

13

11

9

7

5

3 1

14

13

12

18

17

16

15

5

10 6

12 7

8

Finite Element Model - SHELL63 Z Y

1

2

3

4

5

6

7

8

9

10 X

1

2

3

4

5

6

7

8

9

11

10

Finite Element Model - BEAM188 Material Properties E = 30 x 106 psi υ = 0.0

Geometric Properties L = 20 in d = 3 in t = 0.5 in

Loading F = 10 lbs

Analysis Assumptions and Modeling Notes The problem is solved first using quadrilateral shell elements (SHELL63) and then using tapered beam elements (BEAM188). For the quadrilateral shell elements (used in triangular form), nodal coupling is used to ensure symmetry. Node 10 is arbitrarily located at Z = 1.0 in order to define the orientation of the beam. The problem is also solved using quadrilateral finite strain shell elements (SHELL181 and SHELL281).

104


VM34

Results Comparison

SHELL63

Deflection, in (Stress1)max, psi

BEAM188


SHELL181


SHELL281


Target

Mechanical APDL

Ratio

-0.042667

-0.042667

1.000

1600.00

1600.4496

1.000

-0.042667

-0.042792

1.003

1600.00

1599.99995

1.000

-0.042667

-0.042707

1.001

1600.000000

1600.000006

1.000

-0.042667

-0.042732

1.002

1600.00

1604.375880

1.003


105

106


VM35: Bimetallic Layered Cantilever Plate with Thermal Loading

Overview Reference:

R. J. Roark, W. C. Young, Formulas for Stress and Strain, 5th Edition, McGraw-Hill Book Co., Inc., New York, NY, 1975, pp. 113-114.

Analysis Type(s):


Element Type(s):

8-Node Finite Strain Shell Elements (SHELL281)

Input Listing:

vm35.dat

Test Case A cantilever beam of length ℓ , width w, and thickness t is built from two equal thickness layers of different metals. The beam is stress free at Tref. The beam is fixed at the centerline of one end (X = 0, Y = w/2), and subjected to a uniform temperature Ta. Determine the deflection at the centerline of the free end (X = ℓ ) of the cantilever and the outer fiber bending stress at the fixed end. Figure 35.1: Cantilever Plate Problem Sketch

Y T ambient temperature

Z

Material 1 Material 2 t w

ℓ x

Y Problem Sketch Z

X Representative Finite Element Model Material Properties E1 = E2 = 3 x 107 psi υ 1 = υ 2 = 0.0

Geometric Properties ℓ = 10 in t = 0.1 in

Loading Tref = 70°F Ta = 170°F


107



Loading

α1 = 1 x 10-5 in/in°F α2 = 2 x 10-5 in/in°F

Analysis Assumptions and Modeling Notes The width w is arbitrary for the solution of this problem and is chosen as 1 to produce reasonablyshaped elements. At the "fixed" end, only the center node is constrained to match the simple beam theory used in the reference, and allow unrestrained bending in the Y-Z plane. The model is solved using layered finite strain shell elements (SHELL281).


Mechanical APDL

Ratio

free-end deflectionz, in

0.750

0.750

1.000

free-end deflectionx, in

0.015

0.015

1.000

fixed-end top stressx, psi

7500

7500

1.000

SHELL281

108


VM36: Limit Moment Analysis

Overview Reference:


Analysis Type(s):

Static Analysis (ANTYPE = 0) Combination Elements (COMBIN40) 3-D 2 Node Beam (BEAM188)

Element Type(s):

vm36.dat

Input Listing:

Test Case A symmetric cross-section beam of bending stiffness EIy, and height h, totally fixed at C, simply supported at A, is subjected to a concentrated load P at point B. Verify that a load P which is slightly smaller than the theoretical load limit PL will cause elastic deformation and that a load which is slightly larger than PL will cause plastic deformation. Also determine the maximum deflection δ, the reaction force at the left end RA, and the reaction moment at the right end Mc just prior to the development of a plastic hinge. Figure 36.1: Limit Moment Problem Sketch 2a h/2

a P

A

A

B

P

Mc

C

C

B RA Problem Sketch M

Z Y ML

Ky

2, 3 1

1

5

4, 5

X

Rotation

2 6


- -ML Force-Deflection Diagram for Hinges


109

VM36 Material Properties E = 30 x 106 psi υ = .3 ML = 27,777.77 inlb

Geometric Properties a = 50 in 4

Iy = 20 in h/2 = 3.93597 in

Ky = 1 x 1012 lb/in

Loading P = -1000.0 lb (Load Step #1) P = -1388.8 lb (Load Step #2) P = -1390.0 lb (Load Step #3)

Analysis Assumptions and Modeling Notes The load required for Mc=ML (the limiting, or fully plastic bending moment) is calculated to be 1000 lbs. From the reference, the second plastic hinge develops at B when PL = 2.5ML/a = 1388.88 lb. The beam area is not necessary for this loading and is assumed to be 1.0. The beam half height (h/2) is input as a section data using the SECDATA command. Ky is arbitrarily selected to be a large value (1 x 1012) to minimize the elastic effect of the hinge. Combination elements are used as breakaway hinge connections, which slide above the ML value. An extra set of these elements are defined in parallel with an arbitrary low stiffness and a large value of real constant FSLIDE to maintain solution stability after collapse. Sliding status of the combination elements indicates that a plastic hinge has formed. The status of the COMBIN40 is denoted by integers. If STAT = 1, the gap is closed (elastic behavior). STAT = 2 and STAT = -2 indicate positive slide and negative slide respectively (plastic behavior).

Results Comparison

P = 1000 lbs (elastic)

Target

Mechanical APDL

Ratio

-0.02829

-0.02855

1.009

RA lb

148.15

148.25

1.001

Mc in-lb

27778

27762.817

0.999

Deflection, in

P = 1388.8 lbs

Hinge @ B

1 (Elastic)

1 (Elastic)

1.000

Hinge @ C

2 (Plastic)

2 (Sliding)

1.000

P = 1390 lbs

Hinge @ B

-2 (Plastic)

-2 (Sliding)

1.000

Hinge @ C

2 (Plastic)

2 (Sliding)

1.000

110


VM37: Elongation of a Solid Bar

Overview Reference:


Analysis Type(s):

Static Analysis (ANTYPE = 0) 3-D Structural Solid Elements (SOLID45) 3-D Structural Solid Elements (SOLID185) 3-D Structural Solid Shell Elements (SOLSH190)

Element Type(s):

vm37.dat

Input Listing:

Test Case A tapered aluminum alloy bar of square cross-section and length L is suspended from a ceiling. An axial load F is applied to the free end of the bar. Determine the maximum axial deflection δ in the bar and the axial stress σy at mid-length (Y = L/2). Figure 37.1: Solid Bar Problem Sketch

d d Z d L

1 X

2 L

3 4 F

5 L

6 7

Y Problem Sketch



111


Geometric Properties L = 10 in d = 2 in

E = 10.4 x 106 psi υ = .3

Loading F = 10,000 lb

Analysis Assumptions and Modeling Notes The problem is solved in three different ways: • Using 3-D Structural Solid Elements (SOLID95) • Using 3-D Structural Solid Elements (SOLID186) • Using 3-D Structural Solid Shell Elements (SOLSH190) A single tapered volume is mapped-meshed with seven brick-shaped elements along the length of the bar. POST1 is used to get the nodal displacements at the free end and the axial stress at mid-length of the bar.


Mechanical APDL

Ratio

0.0048077

.0047570

0.989

4444.

4441.088

0.999

0.0048077

.0047570

0.989

4444.

4441.088

0.999

0.0048077

.0047801

0.994

4444.

4463.29

1.004

SOLID45 d , in Stressy , psi (elem. 4) SOLID185 d , in Stressy , psi (elem. 4) SOLSH190 d , in Stressy , psi (elem. 4)

112


VM37 Figure 37.2: Elongation of a Solid-Bar-Axial Stress Contour Display (SOLID45 Model)


113

114


VM38: Internal Pressure Loading of a Thick-Walled Cylinder

Overview Reference:


Analysis Type(s):

Static Analysis (ANTYPE = 0) 2-D 2-D 3-D 3-D

Element Type(s):

Structural Structural Structural Structural

Solid Elements (PLANE182) Surface Effect Elements (SURF153) Solid Elements (SOLID185) Surface Effect Elements (SURF154)

vm38.dat

Input Listing:

Test Case A long thick-walled cylinder is subjected to an internal pressure p (with no end cap load). Determine the radial stress, σr, and the tangential (hoop) stress, σt, at locations near the inner and outer surfaces of the cylinder for a pressure, pel, just below the yield strength of the material, a fully elastic material condition. Figure 38.1: Thick-Walled Cylinder Problem Sketch

X

Y

a

b Problem Sketch

σ

7

σyp

Y

E

Stress-strain curve Material Properties E = 30 x 106 psi σyp = 30,000 psi υ = 0.3

13

14

ε

εyp

X Z

3

2

1

15

12

11

10

9

8

4 16

5 17

24

6 18

Re resentative Finite Element Model (3-D model; surface elements not shown)

Geometric Properties a = 4 in b = 8 in

Loading pel = 12,990 psi


115

VM38

Analysis Assumptions and Modeling Notes The theory available for this problem is based on the Tresca (maximum shear) yield criterion while Mechanical APDL uses the von Mises yield criterion. The applied pult pressure is calculated from the

T = σ yp 3 Tresca theory by using y . This procedure is sufficient to calculate approximate loads but the resulting nonlinear stress components should not be compared directly. The problem is solved first using axisymmetric solid elements (PLANE182) and then using 3-D solid elements (SOLID185). Since the problem is axisymmetric, only a small sector (5°) is modeled with SOLID185. In order to ensure constant axial strain (implied by the "long" cylinder definition), nodal coupling is used with PLANE182 and SOLID185. To illustrate the use of surface effect elements, the internal pressure P is applied using 2-D structural surface effect elements (SURF153) in the first analysis, whereas 3-D structural surface effect elements (SURF154) are used in the second analysis. Results are obtained from the solution phase and from the element centroid data.

Results Comparison

PLANE182: Fully Elastic

SOLID185: Fully Elastic

Target

Mechanical APDL

Ratio

Stressr, psi (X=4.4 in)

-9,984.

-9,986.

1.000

Stresst, psi (X=4.4 in)

18,645.

18,809.

1.009


-468.

-467.

0.999


9,128.

9,120.

0.999


-9,984.

-9,986.

1.000


18,645.

18,809.

1.009


-468.

-467.

0.999


9,128.

9,120.

0.999

1. Output quantity SEQV

116


VM39: Bending of a Circular Plate with a Center Hole

Overview Reference:

S. Timoshenko, Strength of Material, Part II, Elementary Theory and Problems, 3rd Edition, D. Van Nostrand Co., Inc., New York, NY, 1956, pg. 111, eq. E and F.

Analysis Type(s):



Elastic Shell Elements (SHELL63) 4-Node Finite Strain Shell Elements (SHELL181) vm39.dat

Test Case A circular plate of thickness t with a center hole is rigidly attached along the inner edge and unsupported along the outer edge. The plate is subjected to bending by a moment Ma applied uniformly along the outer edge. Determine the maximum deflection δ and the maximum slope Φ of the plate. In addition, determine the moment M and stress σx at the top centroidal locations of element 1 (near inner edge) and element 6 (near outer edge).


117

VM39 Figure 39.1: Circular Plate Problem Sketch

Z

M

M

t

b a Problem Sketch

Y

θ

2 1

2

3

4

5

4

3

7

6

5

6

7

X

Representative Finite Element Model Material Properties E = 30 x 106 psi υ = .3

Geometric Properties a = 30 in b = 10 in t = .25 in Θ = 105

Loading Ma = 10 in-lb/in = 52.360 in-lb/10° segment

Analysis Assumptions and Modeling Notes Since the problem is axisymmetric only a small sector of elements is needed. A small angle Θ = 10° is used for approximating the circular boundary with a straight-edged element. A radial grid with nonuniform (3:1) spacing is used. The calculated load is equally divided and applied to the outer nodes. The model is first solved using SHELL63 elements and then using SHELL181 elements.

118


VM39


Mechanical APDL

Ratio

Deflection, in

.049064

.049218

1.003

Slope, rad

-.0045089

-.0045249

1.004

SHELL63

@ x = 10.81 in.

M, in-lb/in

-13.783

-13.675

0.992

Stressx , psi

-1323.2

-1312.732

0.992

@ x = 27.1 in.

M, in-lb/in

-10.127

-10.133

1.001

Stressx , psi

-972.22

-972.742

1.001

Deflection, in

.049064

.0491780

1.002

Slope, rad

-.0045089

-.0045293

1.005

SHELL181

@ x = 10.81 in.

M, in-lb/in

-13.783

-13.801

1.001

Stressx , psi

-1323.2

-1318.609

0.997

@ x = 27.1 in.

M, in-lb/in

-10.127

-10.166

1.004

Stressx , psi

-972.22

-974.959

1.003

Figure 39.2: Window 1: UZ Displacement Contours; Window 2: Displaced Shape - Edge View


119

120


VM40: Large Deflection and Rotation of a Beam Pinned at One End

Overview Reference:

Any basic mathematics book

Analysis Type(s):

Nonlinear Transient Dynamic Analysis (ANTYPE = 4)

Element Type(s):


Input Listing:

vm40.dat

Test Case A massless beam of length L is initially at position AB on a horizontal frictionless table. Point A is pinned to the table and given a large rotation Θz through a full revolution at speed ωz. Determine the position of the beam in terms of δ, and Θ at various angular locations. Show that the beam has no axial stress σ at any position. Figure 40.1: Beam Problem Sketch

Y

δx

θz

A

δy

L Problem Sketch Material Properties E = 30 x 106 psi ρ = 1 x 10 2

sec /in

-10

1

B

2

X

Representative Finite Element Model Geometric Properties L = 10 in

Loading ωz = 400 rpm (ccw)

lb-

4

Analysis Assumptions and Modeling Notes The beam area, moment of inertia, and thickness have no effect on the solution and are assumed equal to 1.0. Density (ρ) is assigned as nearly zero (1 x 10-10) to avoid centrifugal effects in the problem. Since this is rigid body motion, the time step is chosen to obtain the solution at discrete locations. The speed of 400 rpm is obtained by rotating one revolution in 0.15 sec (1/400th of a minute).


121

VM40

Results Comparison Rotationz, deg

Deflection

Target

Mechanical APDL

Ratio

60

Deflectionx (in)

-5.0

-5.0

1.00

90

Deflectiony (in)

10.0

10.0

1.00

180

Deflectionx (in)

-20.0

-20.0

1.00

210

Deflectiony (in)

-5.0

-5.0

1.00

315

Deflectionx (in)

-2.93

-2.93

1.00

360

Deflectiony (in)

0.0

0.0

-

Note Axial stress, σ ≈ 0, at each position. Figure 40.2: Displacement of the Free End

122


VM41: Small Deflection of a Rigid Beam

Overview Reference:

Any Basic Statics and Strength of Material Book

Analysis Type(s):

Static Analysis (ANTYPE = 0) Stiffness, Damping, or Mass Matrix Element (MATRIX27) 3-D 2 Node Beam (BEAM188)

Element Type(s):

vm41.dat

Input Listing:

Test Case A very stiff beam of length L, subjected to a lateral load F, is initially at position AB on a horizontal table. Point A is pinned to the table and restrained from rotation by a relatively weak torsion spring. Determine the final position of the beam in terms of δx, δy, and Θ. Show that the bending stress in the beam σbend is negligible. Figure 41.1: Rigid Beam Problem Sketch

Y F

X kθz

Y

B

A L

1, 2

Problem Sketch Material Properties Kθz = 10,000 in-lb/rad

3

X

Representative Finite Element Model Geometric Properties L = 10 in

Loading F= 10 lb

6

E = 30 x 10 psi

Analysis Assumptions and Modeling Notes The problem is solved using two approaches: • thick beam geometry approach • constraint equation approach In the thick beam approach, the "rigid" beam properties are arbitrarily selected as area = 100 in2, I = 1000 in4, thickness = 10 in. Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

123

VM41 In the constraint equation approach, a constraint equation is used to enforce the assumption of a rigid beam. The constraint equation is of the form: δy = (L)(Θ). The beam properties are arbitrarily based on a 0.25 square inch cross-section.

Results Comparison

Thick Beam

Constraint Equation

Target

Mechanical APDL

Ratio

Deflectionx , in

0.0

0.0

-

Deflectiony , in

-0.1

-0.1

1.000

Angle, rad

-0.01

-0.01

1.000

Stressbend, psi

0.0

0.03[1]

-

Deflectionx , in

0.0

0.0

-

Deflectiony , in

-0.1

-0.1

1.000

Angle, rad

-0.01

-0.01

1.000

0.0

0.0

-

Stressbend , psi 1. Small but negligible stress.

124


VM42: Barrel Vault Roof Under Self Weight

Overview Reference:

R. D. Cook, Concepts and Applications of Finite Element Analysis, 2nd Edition, John Wiley and Sons, Inc., New York, NY, 1981, pp. 284-287.

Analysis Type(s):

Static Analysis (ANTYPE = 0) 4-Node Finite Strain Shell Elements (SHELL181) 8-Node Finite Strain Shell Elements (SHELL281)

Element Type(s):

vm42.dat

Input Listing:

Test Case A cylindrical shell roof of density ρ is subjected to a loading of its own weight. The roof is supported by walls at each end and is free along the sides. Find the x and y displacements at point A and the top and bottom stresses at points A and B. Express stresses in the cylindrical coordinate system. Figure 42.1: Barrel Vault Roof Problem Sketch

Y B

X Z sym

B sym

free A

A ℓ

t θ

g r

Problem Sketch


Material Properties E = 4.32 x 108 N/m2 υ = 0.0 ρ = 36.7347 kg/m3

Geometric Properties t = 0.25 m r = 25 m ℓ = 50 m Θ = 40°

Loading g = 9.8 m/s2

Analysis Assumptions and Modeling Notes A one-fourth symmetry model is used. Displacements, UX and UY, and the longitudinal rotation, ROTZ, are constrained at the roof end to model the support wall. Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

125

VM42


Mechanical APDL

Ratio

UYA, m

-.3019

-.316

1.047

UXA, m

-.1593

-.1661

1.042

Stressz, Top @ A, Pa

215570

205333.2869

0.953

Stressz, Bot @ A, Pa

340700

336983.6777

0.989

Stressangle, Top @ B, Pa

191230

182418.8632

0.954

Stressangle, Bot @ B, Pa

-218740

-209768.5422

0.959

UYA, m

-.3019

-.3028

1.003

UXA, m

-.1593

-.1598

1.003

Stressz, Top @ A, Pa

215570

215624.9892

1

Stressz, Bot @ A, Pa

340700

341504.3073

1.002

Stressangle, Top @ B, Pa

191230

191007.4670

0.999

Stressangle, Bot @ B, Pa

-218740

-218511.8878

0.999

SHELL181

SHELL281

126


VM43: Bending of an Axisymmetric Thick Pipe

Overview Reference:

R. J. Roark, Formulas for Stress and Strain, 4th Edition, McGraw-Hill Book Co., Inc., New York, NY, 1965, pg. 112, no. 33.

Analysis Type(s):


Element Type(s):

Axisymmetric-Harmonic 4-Node Structural Solid Elements (PLANE25)

Input Listing:

vm43.dat

Test Case A long thick-walled pipe is rigidly supported at its ends between two walls. Determine the maximum deflection in the pipe due to gravity loading. Determine the maximum tensile stress σmax at the outer surface of the pipe at Y = 4.16666 in. Figure 43.1: Axisymmetric Thick Pipe Sketch Problem

L

g

Pr blem Sketch

X

L/2 1 11 10 9

8

7

6

5

4

3

1

Y

do/2 C

Representative Finite Element M del Material Properties E = 30 x 106 ρ = .00073 lbsec2/in4 υ = 0.0

Geometric Properties L = 200 in do = 2 in di = 1 in

Loading g = 386 in/sec2

Analysis Assumptions and Modeling Notes The loading g, which is constant in magnitude and direction around the circumference of the pipe, is applied as the sum of two harmonically varying loads. Each load has one wave around the circumference and is 90° out of phase with the other. Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

127

VM43


Mechanical APDL

Ratio

Deflectionx, in (angle = 0°)

-0.12524

-0.12529

1.000

Deflectionz, in (angle = 90°)

0.12524

0.12530

1.000

Stressmax , psi (angle = 0°)

2637.8

2652.4

1.006

Figure 43.2: Displacement Displays

Window 1 Shows a Circumferential Angle of 0° Window 2 Shows a Circumferential Angle of 90°

128


VM44: Bending of an Axisymmetric Thin Pipe

Overview Reference:

R. J. Roark, Formulas for Stress and Strain, 4th Edition, McGraw-Hill Book Co., Inc., New York, NY, 1965, pg. 112, no. 33.

Analysis Type(s):


Element Type(s):

Axisymmetric Harmonic Structural Shell Elements (SHELL61)

Input Listing:

vm44.dat

Test Case A long thin-walled pipe is rigidly supported at its ends between two walls. Determine the maximum deflection in the pipe due to gravity loading. Determine the maximum tensile stress σmax at the outer surface of the pipe at Y = 0. Figure 44.1: Axisymmetric Thin Pipe Problem Sketch

t D L g

Problem Sketch

X

L/2 7 8

6

5

4

3

1

2

Y

D/2 C

Representative Finite Element Model Material Properties E = 30 x 106 psi ρ = 0.00073 lb-sec2/in4 υ = 0.0

Geometric Properties L = 250 in D = 2 in t = 0.1 in


Analysis Assumptions and Modeling Notes The loading g, which is constant in magnitude and direction around the circumference of the pipe, is applied as the sum of two harmonically varying loads. Each load has one wave around the circumference and is 90° out of phase with the other.


129

VM44


Mechanical APDL

Ratio

Deflectionx, in (angle = 0°)

-0.19062

-0.19079

1.001

Deflectionz, in (angle = 90°)

0.19062

0.19079

1.001

Stressmax , psi (angle = 0°)

3074.3

3059.115[1]

0.995

1. Corresponds to S1 at BOT of element 1 (section at node I). Figure 44.2: Displacement Displays

Window 1 Shows a Circumferential Angle of 0° Window 2 Shows a Circumferential Angle of 90°

130


VM45: Natural Frequency of a Spring-Mass System

Overview Reference:

W. T. Thomson, Vibration Theory and Applications, 2nd Printing, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1965, pg. 6, ex. 1.2-2.

Analysis Type(s):

Mode-frequency Analysis (ANTYPE = 2) Spring-Damper Element (COMBIN14) Structural Mass Element (MASS21)


vm45.dat

Test Case An instrument of weight W is set on a rubber mount system having a stiffness k. Determine its natural frequency of vibration f. Figure 45.1: Spring-mass System Problem Sketch Y

2

2 W

k 1 1

X Problem Model Material Properties k = 48 lb/in W = 2.5 lb


Analysis Assumptions and Modeling Notes The spring length is arbitrarily selected. The weight of the lumped mass element is divided by gravity in order to obtain the mass. Mass = W/g = 2.5/386 = .006477 lb-sec2/in.


131

VM45

Results Comparison

f, Hz

132

Target

Mechanical APDL

Ratio

13.701

13.701

1.000


VM46: 2-D End Notched Flexure Problem

Overview Reference:

Mandell, J.F. et al. "Prediction of delamination in wind turbine blade structural details”. Journal of Solar Energy Engineering. (2003): 522-530.

Analysis Type(s):

Static (ANTYPE, 0)

Element Type(s):

2-D Structural Solid Elements (PLANE182)

Input Listing:

vm46.dat

Test Case A beam is clamped at one end and contains a delamination of length a at the other end. A load P is applied in the middle to cause crack growth. G computation for the cracked tip is conducted for VCCT and compared against the analytical solution (equation (2) in Mandell, J.F. et al. "Prediction of delamination in wind turbine blade structural details”). Figure 46.1: Two-Dimensional End Notched Flexure Problem Sketch

P a

2L P/2

P/2

Material Properties


E=210GPa

L=30m

µ=0.3

a=10m

Loading P=10N

Analysis Assumptions and Modeling Notes The problem is solved using 2-D PLANE182 element with plain strain element behavior. The contact is defined between the cracks. The crack tip nodes and the number of paths surrounding the crack tip nodes are defined using CINT command. The plate is subjected to vertical loading in the middle. G values are computed for the crack tip node.

Results Comparison

G

Target

Mechanical APDL

Ratio

0.11338

0.11662

1.029


133

134


VM47: Torsional Frequency of a Suspended Disk

Overview Reference:

W. T. Thomson, Vibration Theory and Applications, 2nd Printing, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1965, pg. 10, ex. 1.3-2

Analysis Type(s):

Mode-frequency Analysis (ANTYPE = 2) Spring-Damper Elements (COMBIN14) Structural Mass Elements (MASS21)

Element Type(s):

vm47.dat

Input Listing:

Test Case A disk of mass m which has a polar moment of inertia J is suspended at the end of a slender wire. The torsional stiffness of the wire is kθ. Determine the natural frequency f of the disk in torsion. Figure 47.1: Suspended Disk Problem Sketch Z Y X 1

kθ 1

J

2 θ


Problem Sketch Material Properties m = 1 lb-sec2/in kθ = 4.8 in-lb/rad

2

Geometric Properties J = .30312 lb-insec2


135

VM47

Analysis Assumptions and Modeling Notes The length of the wire is arbitrarily selected. Modal analysis is performed using Block Lanczos eigensolver.

Results Comparison

f, Hz

136

Target

Mechanical APDL

Ratio

0.63333

0.63333

1.00


VM48: Natural Frequency of a Motor-Generator

Overview Reference:


Analysis Type(s):

Mode-frequency Analysis (ANTYPE = 2) 3-D 2 Node Beam Element (BEAM188) Structural Mass Elements (MASS21)

Element Type(s):

vm48.dat

Input Listing:

Test Case A small generator of mass m is driven off a main engine through a solid steel shaft of diameter d. If the polar moment of inertia of the generator rotor is J, determine the natural frequency f in torsion. Assume that the engine is large compared to the rotor so that the engine end of the shaft may be assumed to be fixed. Neglect the mass of the shaft also. Figure 48.1: Motor-Generator Problem Sketch d J

ℓ Problem Sketch Y

1

2 2

1 Z

X

Representative Finite Element Model Material Properties E = 31.2 x 106 psi m = 1 lb-sec2/in

Geometric Properties d = .375 in ℓ = 8.00 in J = .031 lb-in-sec2


137

VM48

Analysis Assumptions and Modeling Notes The motor is modeled as a circular solid using SECTYPE and SECDATA commands. All degrees of freedom are constrained, except for the rotational degree of freedom along the x direction at mode 2.

Results Comparison

f, Hz

138

Target

Mechanical APDL

Ratio

48.781

48.779

1.00


VM49: Electrostatic Field Analysis of Quadpole Wires

Overview Reference:

Any Basic Static and Dynamic Electricity Book

Analysis Type(s):

Static, Electrostatic Analysis (ANTYPE = 0)

Element Type(s):

2-D 8-Node Electrostatic Solid Element (PLANE121) 2-D Infinite Solid Element (INFIN110) vm49.dat

Input Listing:

Test Case Two wires of quadpole device system of zero radius, carrying positive charge, q1 are placed along the X-axis with their centers located at positive and negative distances, d from the origin, O. Two wires of the same radius carrying negative charge, q2, are placed along the Y-axis with their centers at positive and negative distances, d from the origin, O. All wires are extended in the Z direction. Determine the electric potential, V, produced out to a radius of 470 mm measured from the origin, O. Figure 49.1: Quadpole Wires Problem Sketch Y Infinite Boundary Surface

wire 10

q2

δv δn

d

=0

8

0

q1

9

q1

δv δn

d

X

5

3

=0

2

d

1 6

q2 470 mm

d

940 mm Problem Sketch

Material Properties ε o = 8.85 x 10-12 F/m

R p s F E M

Geometric Properties d = 25.4 mm

Loading q1 = +10-6 C/m q2 = -10-6 C/m


139

VM49

Analysis Assumptions and Modeling Notes Two dimensional quad elements of PLANE121 are used out to the radius of 470 mm. At this radius the INFIN110 (quad elements) with length equal to two times the 470 mm are used. Due to symmetry only one quadrant (positive X and positive Y), containing one half of each of two wires (carrying half of positive and negative charge magnitude), is modeled with flux-normal boundary conditions at X = 0.0 and Y = 0.0 axes. Note, since 4-node INFIN110 elements are used with 8-node PLANE121, the infinite element domain is required to mesh before the finite element domain to drop off automatically the midside nodes from the PLANE121 element faces at the interface of the finite and infinite element domain. SF command with label, INF is used to flag the exterior surface (at infinity) of the INFIN110 elements. The charge is applied as a point load at the center of each of two wires. In POST1 electric potential V at angles 0 to 90° (with 10 divisions) on the outer surface of radius 470 mm are retrieved and written by *VWRITE command.

Results Comparison V (Volt)

Target

Mechanical APDL

Ratio

@ Angle 0°

105.05

105.79

1.01

@ Angle 9°

99.90

100.62

1.01

@ Angle 18°

84.98

85.59

1.01

@ Angle 27°

61.74

62.18

1.01

@ Angle 36°

32.46

32.69

1.01

@ Angle 45°

0.0000

0.0000

0.0

@ Angle 54°

-32.46

-32.69

1.01

@ Angle 63°

-61.74

-62.18

1.01

@ Angle 72°

-84.98

-85.59

1.01

@ Angle 81°

-99.98

-100.62

1.01

@ Angle 90°

-105.05

-105.79

1.01

140


VM50: Fundamental Frequency of a Simply Supported Beam

Overview Reference:


Analysis Type(s):

Mode-frequency Analysis (ANTYPE = 2)

Element Type(s):

3-D 3-Node Beam (BEAM189)

Input Listing:

vm50.dat

Test Case Determine the fundamental frequency f of a simply-supported beam of length ℓ and uniform crosssection as shown below. Figure 50.1: Simply Supported Beam Problem Sketch

ℓ h

Problem Sketch Material Properties E = 30 x 106 psi w = 1.124 lb/in

Geometric Properties ℓ = 80 in

ρ = w/Ag = .000728 lb-sec2/in4

A = 4 in2 h = 2 in


I = 1.3333 in4

Analysis Assumptions and Modeling Notes This beam is modeled with arbitrary cross sections. The problem is solved using Lanczos eigensolver.

Results Comparison

f, Hz

Target

Mechanical APDL

Ratio

28.766

28.761

1.000


141

142


VM51: Electrostatic Forces Between Charged Spheres

Overview Reference:

Any General Physics Textbook

Analysis Type(s):

Electrostatic Analysis (ANTYPE = 0) 3-D 20-Node Electrostatic Solid Element (SOLID122) 3-D 10-Node Tetrahedral Electrostatic Solid Element (SOLID123) 3-D Infinite Solid Element (INFIN111) 2-D 8-Node Electrostatic Solid (PLANE121) Meshing Facet (MESH200)

Element Type(s):

vm51.dat

Input Listing:

Test Case Two spheres with radii = 1 m, separated by a distance of 3 m, are subjected to a surface charge. Find the resultant electrostatic force between the spheres. Figure 51.1: Charged Spheres Problem Sketch

C

r1

r2

r1

Problem Sketch


143

VM51 Material Properties ε = 8.854E-12 F/m

Geometric Properties r1 r2 r3 r4

= = = =

1.0 m 3.0 m 6.0 m 1.25 m

Loading Surface charge = 8.854 E-12 C/m2

Analysis Assumptions and Modeling Notes The finite element mesh and the infinite element mesh are generated from the solid model. A planar section of the model is meshed with PLANE121 elements and rotated through 30 degrees. The 2-D mesh creates a 3-D mesh of SOLID122 elements. SHELL281 elements are generated over the outer surface of the 3-D mesh and extruded in the radial direction to complete the finite element domain. The process is repeated to extrude the INFIN111 mesh in the radial direction. It can be assumed that a symmetry plane exists at Y = 0, at which a zero voltage constraint is imposed. Infinite flags are set for the outer surface of the INFIN111 elements. The same problem is then solved using SOLID123 elements The theoretical solution is: =

1∗ 2

∗ π ∗ ε ∗ 22

where ε = 8.854E-12, q1 = q2 = 4* π* ε . This charge corresponds to a surface force of ε on the sphere. surface charge = q/area = (4* π* ε )/4* π*(r1**2) = ε

Results Comparison SOLID122 YFORCE

Target

Mechanical APDL

Ratio

-0.1236E-10

-0.1236E-10

1.000

Target

Mechanical APDL

Ratio

-0.1236E-10

-0.1235E-10

0.999

SOLID123 YFORCE

144


VM51 Figure 51.2: Solid Model

Figure 51.3: FEA Model with SOLID122 and INFIN111 Elements


145

VM51 Figure 51.4: Electric Field Plot with SOLID122 and INFIN111 Elements

Figure 51.5: Voltage Plot with SOLID122 and INFIN111 Elements

146


VM51 Figure 51.6: FEA Model with SOLID123 and INFIN111 Elements

Figure 51.7: Electric Field Plot with SOLID123 and INFIN111 elements


147

VM51 Figure 51.8: Voltage Plot with SOLID123 and INFIN111 Elements

148


VM52: Automobile Suspension System Vibration

Overview Reference:


Analysis Type(s):

Mode-frequency Analysis (ANTYPE = 2)

Element Type(s):

Input Listing:

3-D 2 Node Beam (BEAM188) Spring-Damper Elements (COMBIN14) Structural Mass Element (MASS21) vm52.dat

Test Case An automobile suspension system is simplified to consider only two major motions of the system: • up and down linear motion of the body • pitching angular motion of the body If the body is idealized as a lumped mass with weight W and radius of gyration r, determine the corresponding coupled frequencies f1 and f2. Figure 52.1: Automobile Suspension Problem Sketch

ℓ2

ℓ1

3

2 W

3

4

2

4 5

1 k1

k2 1

Problem Sketch Material Properties E = 4 x 109 psf w = 3220 lb

X

Representative Finite Element Model Geometric Properties ℓ 1 = 4.5 ft

m = W/g = 100 lb-sec2/ft k1 = 2400 lb/ft k2 = 2600 lb/ft

5

ℓ 2 = 5.5ft r = 4 ft

Loading g = 32.2 ft/sec2


149

VM52

Analysis Assumptions and Modeling Notes The beam geometric properties are input (all as unity) but not used for this solution. The torsional moment of inertia IT is calculated as IT = Wr2/g = 1600 lb-sec2-ft. The spring length is used only to define the spring direction.


Mechanical APDL

Ratio

f1 , Hz

1.0981

1.0979

1.000

f2 , Hz

1.4406

1.4403

1.000

150


VM53: Vibration of a String Under Tension

Overview W. T. Thomson, Vibration Theory and Applications, 2nd Printing, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1965, pg. 264, article 8.2.

Reference:

Static Analysis (ANTYPE = 0) Mode-frequency Analysis (ANTYPE = 2)

Analysis Type(s): Element Type(s):


Input Listing:

vm53.dat

Test Case A flexible string with mass per unit length ρA is fixed at the ends and stretched to an initial strain εo. Determine the stress σ and force F in the string under these conditions. Determine the first three natural frequencies fi of lateral vibration of the stretched string. Figure 53.1: String Under Tension Problem Sketch

Y

1

2

3

4

5

6

7

8

9

10 11 12 13 14

F

X

ℓ Representative Finite Element Model Material Properties


E = 30 x 106 psi

ℓ = 100 in

ρ = 0.00073 lb-sec2/in4

A = 0.00306796 in2

Loading εo = 0.00543228

Analysis Assumptions and Modeling Notes Enough elements are selected so that the same model can be used to adequately characterize the dynamic analysis. Linear perturbation modal analysis is performed to determine the frequencies of the pre-stressed structure The Block Lanczos method for eigenvalue extraction is chosen solely for the sake of completeness in this manual. Other methods would also be suitable. Only the first three modes are requested.


151

VM53

Results Comparison

Static

Target

Mechanical APDL

Ratio

500.00

499.99

1.000

162,974.

162,974

1.000

f1 , Hz

74.708

74.890

1.002

f2 , Hz

149.42

150.875

1.010

f3 , Hz

224.12

229.060

1.022

F, lb Stress, psi

Modal

152


VM54: Vibration of a Rotating Cantilever Blade

Overview W. Carnegie, "Vibrations of Rotating Cantilever Blading", Journal Mechanical Engineering Science, Vol. 1 No. 3, 1959, pg. 239

Reference: Analysis Type(s):

Static Analysis (ANTYPE = 0) Mode-frequency Analysis (ANTYPE = 2)

Element Type(s):

Elastic Shell Elements (SHELL63) 3-D Structural Solid Shell Elements (SOLSH190) 4-Node Finite Strain Shell Elements (SHELL181) 8-Node Finite Strain Shell Elements (SHELL281) vm54.dat

Input Listing:

Test Case A blade is cantilevered from a rigid rotating cylinder. Determine the fundamental frequency of vibration of the blade, f, when the cylinder is spinning at a rate of Ω . Figure 54.1: Rotating Cantilever Blade

b

t Z

ℓ 9

18

8

17

7

16

6

15

5

14

4

13

3

12

2

11

Y X r

Ω

1

Problem Sketch

10



153


Geometric Properties r = 150 mm ℓ = 328 mm b = 28 mm t = 3mm

E = 217 x 109 Pa ρ = 7850 kg/m υ = 0.3

3

Loading Ω = 100π rad/sec

Analysis Assumptions and Modeling Notes The problem is solved in four different ways: • Using Elastic Shell Elements (SHELL63). • 3-D Solid Shell Elements (SOLSH190) using linear perturbation analysis. • Low order Finite Strain Shell Elements (SHELL181) using linear perturbation analysis. • High order Finite Strain Shell Elements (SHELL281) using linear perturbation analysis. Since the cylinder is rigid, the base of the blade has its displacements constrained. A static prestress analysis is performed to include the inertial effects resulting from the rotation of the cylinder.


Mechanical APDL

Ratio

52.75

52.01

0.986

52.75

51.87

0.983

52.75

51.87

0.983

52.75

51.92

0.984

SHELL63 f, Hz SOLSH190 f, Hz SHELL181 f, Hz SHELL281 f, Hz

154


VM55: Vibration of a Stretched Circular Membrane

Overview S. Timoshenko, D. H. Young, Vibration Problems in Engineering, 3rd Edition, D. Van Nostrand Co., Inc., New York, NY, 1955, pg. 439, eq. 182.

Reference: Analysis Type(s):

Linear Perturbed Modal Analysis (ANTYPE = 2)

Element Type(s):


Input Listing:

vm55.dat

Test Case A circular membrane of radius a, thickness t, and weight per unit area w is simply supported along its edge and subjected to an in-plane radial load of T lb/unit length of circumference. Determine the radial stress σr in the membrane and the first three natural frequencies fi of lateral vibration of the membrane.

Y

T

X

T

a

Z

t Problem Sketch

1

2

3

4

5

6

7

8

9

0

C

R p s niv Fini E n Md

Material Properties E = 30 x 106 psi w = 0.0028178

Geometric Properties a = 15 in t = 0.01 in

Loading T = 100 lb/in

lb/in2


155

VM55

Analysis Assumptions and Modeling Notes The in-plane radial load F is calculated as: F = 2 πa T = 9424.778 lb. The mass density ρ is calculated as w/gt = 0.00073 lb-sec2/in4, where g = 386 in/sec2. Enough elements are defined to adequately characterize the dynamic analysis. Linear perturbed modal analysis is performed on the prestressed structure using Block Lanczos eigensolver to determine the first three natural frequencies.


Mechanical APDL

Ratio

Static

Stressr , psi

10,000.

10,000.

1.000

Modal

f1 , Hz

94.406

94.464

1.001

f2 , Hz

216.77

217.175

1.002

f3 , Hz

339.85

341.510

1.005

156


VM56: Hyperelastic Thick Cylinder Under Internal Pressure

Overview Reference:

J. T. Oden, Finite Elements of Nonlinear Continua, McGraw-Hill Book Co., Inc., New York, NY, 1972, pp. 325-331.

Analysis Type(s):

Static, Large Deflection Analysis (ANTYPE = 0)

Element Type(s):

2-D 8-Node Stuctural Solid Elements (PLANE183) 3-D 8-Node Structural Solid Elements (SOLID185) 3-D 10-Node Tetrahedral Structural Solid Elements (SOLID186) vm56.dat

Input Listing:

Test Case An infinitely long cylinder is made of Mooney-Rivlin type material. An internal pressure of Pi is applied. Find the radial displacement at the inner radius and the radial stress at radius R = 8.16 in (center of 1st element). Figure 56.1: Hyperelastic Thick Cylinder Problem Sketch

Z

P

L

r

portion modeled R

r C

Problem Sketch


157

VM56 Figure 56.2: Hyperelastic Thick Cylinder Models

Z r

3

4 2

1 C

Representative Area and Keypoint 2-D Model Y 0 9 8 7 6 5

P

5

6

5

6 7

7

8 9

8

0

X

F Em Q !S

T

U / H G

> I

B

JLNO° =>>? &#=

@

?

!"#$%$&' V()u* %#+ ,. (&#$ /:; MODAL DAMPING) *** !------------------------------------------KS = KF ! SPRING STIFFNESS (GAMMA = KF/KS = 1) MS = MF/2 ! POINT MASS (MU = MF/MS = 2) F0 = 1000 ! APPLIED FORCE /PREP7 LOCAL,13,0,0,0,0, , , 90,1,1, WPCSYS,-1,13, CYl4,0,0,RAD, , , ,LF CSYS,0 N,1,-1,0,0 N,2,0,0,0 ET,1,COMBIN14 ! ELEMENT 1 - COMBIN14 KEYOPT,1,3,0 ! UX DEGREE OF FREEDOM R,1,KS ET,2,MASS21 ! ELEMENT 2 - MASS21 KEYOPT,2,3,2 ! 3D MASS WITHOUT ROTARY INERTIA R,2,MS ET,3,FLUID30,,0,,0 ! ELEMENT 3 - FLUID WITH UNSYM COUPLING R,3 MP,DENS,3,RHOF MP,SONC,3,SONCF ET,4,CONTA174 ! ELEMENT 4 - CONTACT ELEMENTS R,4 KEYOPT,4,2,2 ! MPC STYLE CONTACT KEYOPT,4,4,2 ! RIGID CERIG STYLE LOAD KEYOPT,4,12,5 ! BONDED CONTACT ET,5,TARGE170 ! ELEMENT 5 - PILOT NODE KEYOPT,5,2,1 ! DON'T FIX THE PILOT NODE KEYOPT,5,4,111111

1798


VM282 Input Listing TYPE,1 REAL,1 EN,1,1,2 TYPE,2 REAL,2 EN,2,2 TYPE,3 MAT,3 REAL,3 ESIZE,LF/200 VSWEEP,1 VSEL,S,,,1 NSEL,R,LOC,X,0 TYPE,4 REAL,4 ESURF TYPE,5 TSHAPE,PILO E,2 TSHAPE ALLSEL,ALL,ALL ESEL,S,ENAME,,30 NSEL,S,LOC,X,0 SF,ALL,FSI ALLSEL,ALL,ALL D,1,ALL D, 2, UY, , , , , UZ, ROTX, ROTY, ROTZ F,2,FX,F0 ALLSEL,ALL,ALL SAVE FINISH ! *** SOLUTION CONTROLS FOR MODAL ANALYSIS *** ! -------------------------------------------/SOLUTION ANTYPE,MODAL MODOPT,UNSYM,10,,,,,BOTH MXPAND,ALL SOLVE *GET,FREQ_1,MODE,2,FREQ *GET,FREQ_2,MODE,3,FREQ *GET,FREQ_3,MODE,4,FREQ *GET,FREQ_4,MODE,5,FREQ *GET,FREQ_5,MODE,6,FREQ FINISH ! *** SOLUTION CONTROLS FOR MSUP HARMONIC ANALYSIS *** ! ---------------------------------------------------/SOLUTION ANTYPE,HARM HROPT,MSUP HARFRQ,0.0,100.0 KBC,1 NSUB,1000 OUTRES,ERASE OUTRES,ALL,NONE OUTRES,NSOL,ALL ! *** MODAL DAMPING RATIOS *** ! ---------------------------MDAMP,1,0.0,2.0453E-02,3.6948E-03,7.0040E-04,2.2468E-04,9.8247E-05 FDELE,ALL LVSCALE,1 SOLVE FINISH ! *** EXPANSION PASS *** ! ---------------------/SOLUTION EXPASS,ON NUMEXP,ALL,,,NO SOLVE FINISH /POST1 FILE,vm282,rst SET,,,,3,1


1799

Verification Test Case Input Listings *GET,RES_1,NODE,2,U,X *GET,PRES_1,NODE,1712,PRES SET,,,,3,9.9 *GET,RES_2,NODE,2,U,X *GET,PRES_2,NODE,1712,PRES FINISH ! *** TIME HISTORY POST PROCESSOR *** ! ----------------------------------/POST26 /GROPT,LOGX,ON /GROPT,LOGY,ON NSOL,2,2,U,X /SHOW,PNG PLVAR,2 PRCPLX,1 PRVAR,2 EXTREME,2 NPRES = NODE(LF/2,0,0) NSOL,3,NPRES,PRES PLVAR,3 PRVAR,3 EXTREME,3 /SHOW,CLOSE FINISH /OUT, /COM, ----------------------------/COM, FREQUENCY (Hz) VALUES /COM, ----------------------------*STATUS,FREQ_1 *STATUS,FREQ_2 *STATUS,FREQ_3 *STATUS,FREQ_4 *STATUS,FREQ_5 /COM, ----------------------------/COM, RESPONSE AMPLITUDE OF PISTON /COM, ----------------------------*STATUS,RES_1 *STATUS,RES_2 /COM, -----------------------------------------/COM, PRESSURE AMPLITUDE AT MID-COLUMN OF FLUID /COM, -----------------------------------------*STATUS,PRES_1 *STATUS,PRES_2 /OUT,SCRATCH *DIM,LABEL,CHAR,5,3 *DIM,VALUE,,5,3 LABEL(1,1) = 'FREQ(f1), ','FREQ(f2) ','FREQ(f3) ','FREQ(f4) ','FREQ(f5) ' LABEL(1,2) = ' Hz',' Hz',' Hz',' Hz',' Hz' *VFILL,VALUE(1,1),DATA,9.916,24.583,43.729,63.895,84.395 *VFILL,VALUE(1,2),DATA,FREQ_1,FREQ_2,FREQ_3,FREQ_4,FREQ_5 *VFILL,VALUE(1,3),DATA,FREQ_1/9.9167,FREQ_2/24.5833,FREQ_3/43.7292,FREQ_4/63.8958,FREQ_5/84.3958 *DIM,LAB1,CHAR,2,2 *DIM,VALUE1,,2,3 LAB1(1,1) = 'RES_1, ','RES_f1 ' LAB1(1,2) = ' M',' M' *VFILL,VALUE1(1,1),DATA,2.47E-04,5.76E-03 *VFILL,VALUE1(1,2),DATA,RES_1,RES_2 *VFILL,VALUE1(1,3),DATA,ABS(RES_1)/2.47E-04,ABS(RES_2)/5.76E-03 *DIM,LAB2,CHAR,2,2 *DIM,VALUE2,,2,3 LAB2(1,1) = 'PRES_1, ','PRES_f1 ' LAB2(1,2) = ' MPa',' MPa' *VFILL,VALUE2(1,1),DATA,1.03E+04,2.64E+05 *VFILL,VALUE2(1,2),DATA,PRES_1,PRES_2 *VFILL,VALUE2(1,3),DATA,ABS(PRES_1)/1.03E+04,ABS(PRES_2)/2.64E+05 /COM, /OUT,vm282,vrt /COM,------------------- VM282 RESULTS COMPARISON -------------/COM,

1800


VM283 Input Listing /COM, | TARGET | Mechanical APDL | /COM, *VWRITE,LABEL(1,1),LABEL(1,2),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,A8,' ',F12.3,' ',F16.3,' ',1F15.3) /COM, /COM,RESPONSE AMPLITUDE OF PISTON /COM, *VWRITE,LAB1(1,1),LAB1(1,2),VALUE1(1,1),VALUE1(1,2),VALUE1(1,3) (1X,A8,A8,' ',F12.5,' ',F16.5,' ',1F15.3) /COM, /COM,PRESSURE AMPLITUDE AT MID-COLUMN /COM, *VWRITE,LAB2(1,1),LAB2(1,2),VALUE2(1,1),VALUE2(1,2),VALUE2(1,3) (1X,A8,A8,' ',F12.3,' ',F16.3,' ',1F15.3) /COM,----------------------------------------------------------

RATIO

/OUT, FINISH *LIST,vm282,vrt FINISH

VM283 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VM283 /TITLE,VM283,Low Reduced Frequency Model for Visco-thermal Fluid with Thin Structure /COM, /COM, REFERENCE: /COM, W. M. BELTMAN, "Viscothermal Wave Propagation Including Acousto-elastic Interaction", /COM, THESIS, SECTION6.3, PP128-136, ISBN 90-3651217-4, 1998. /COM, /PREP7 ET,1,FLUID30,,1 ET,2,SOLSH190 ET,3,FLUID30,,0

! FLUID30 ELEMENTS, NO FSI ! SOLIDSHELL190 ELEMENTS ! FLUID30 ELEMENTS, WITH FSI

/COM, MATERIAL PROPERTIES FOR AIR rho = 1.2 c0 = 340 visc = 18.2e-6 kxx = 25.6e-3 Cp = 1004 Cv = 1004/1.4

! ! ! ! !

DENSITY SOUND SPEED DYNAMIC VISCOSITY THERMAL CONDUCTIVITY SPECIFIC HEAT

z0 = rho*c0 WL=c0/300 H=WL/15 tp1 = 1e-3 tp2 = 2e-3 h0 = 1e-3 LX LY ZA ZB

= = = =

245e-3 122.5e-3 0.5 2.0

! HEIGHT OF ROOM A ! HEIGHT OF ROOM B

TB,AFDM,1,,,MAT TBDATA,1,rho,c0,visc,kxx,Cp,Cv TB,AFDM,1,,,THIN TBDATA,1,2*h0

! ACOUSTIC FREQUENCY-DEPENDENT MATERIAL PROPERTIES ! ACOUSTIC FREQUENCY-DEPENDENT THIN LAYER

/COM, MATERIAL PROPERTIES FOR ALUMINIUM PLATE MP,DENS,2,2710

! DENSITY


1801

Verification Test Case Input Listings MP,EX,2,70.e9 MP,NUXY,2,0.3 MP,DENS,3,rho MP,SONC,3,c0

! ELASTIC MODULUS ! POISSON'S RATIO

*DIM,zz,ARRAY,6 zz(1)=0 zz(2)=zz(1)+zb zz(3)=zz(2)+tp2 zz(4)=zz(3)+2*h0 zz(5)=zz(4)+tp1 zz(6)=zz(5)+za *DO,i,1,5 BLOCK,-LX,LX,-LY,LY,zz(i),zz(i+1) *ENDDO VGLUE,ALL SHPP,OFF,ALL LSEL,S,LOC,Y,0 LESIZE,ALL,,,1 ALLSEL,ALL VSEL,S,LOC,Z,zz(3),zz(4) LESIZE,67,,,4 ESIZE,LX/10 TYPE,1 MAT,1 /OUT,SCRATCH VMESH,ALL VSEL,S,LOC,Z,zz(2),zz(3) VSEL,A,LOC,Z,zz(4),zz(5) TYPE,2 MAT,2 LESIZE,61,,,3 LESIZE,69,,,3 VEORIENT,6,THIN VEORIENT,8,THIN VMESH,ALL VSEL,S,LOC,Z,zz(1),zz(2) TYPE,1 MAT,3 ESIZE,(zz(2)-zz(1))/15 VMESH,ALL ALLSEL,ALL VSEL,S,LOC,Z,zz(5),zz(6) ESIZE,(zz(6)-zz(5))/10 VMESH,ALL ALLSEL,ALL NSEL,S,LOC,Y,-ly NSEL,A,LOC,Y,ly D,ALL,UY ALLSEL,ALL NSEL,S,LOC,Z,zz(2) NSEL,A,LOC,Z,zz(3) NSEL,A,LOC,Z,zz(4) NSEL,A,LOC,Z,zz(5) ESLN,S,0 ESEL,U,TYPE,,2 EMODIF,ALL,TYPE,3 ALLSEL,ALL ESEL,S,TYPE,,3 NSLE,S NSEL,S,LOC,Z,zz(2) NSEL,A,LOC,Z,zz(3) NSEL,A,LOC,Z,zz(4)

1802


VM283 Input Listing NSEL,A,LOC,Z,zz(5) ESEL,S,TYPE,,2 NSLE,R ESEL,S,TYPE,,3 SF,ALL,FSI ALLSEL,ALL

! FLUID SOLID INTERACTION

NSEL,S,LOC,Z,zz(2) NSEL,A,LOC,Z,zz(5) NSEL,R,LOC,X,LX D,ALL,UZ,0,,,,UX,UY ALLSEL,ALL NSEL,S,LOC,Z,zz(2) NSEL,A,LOC,Z,zz(5) NSEL,R,LOC,X,-LX D,ALL,UZ,0,,,,UX,UY ALLSEL,ALL NSEL,S,LOC,Z,zz(6) SF,ALL,PORT,1 NSEL,R,LOC,X,LX BF,ALL,JS,1 ALLSEL,ALL

! PORT NUMBER ! MASS SOURCE RATE

NSEL,S,LOC,Z,zz(1) SF,ALL,IMPD,z0 SF,ALL,PORT,2 CM,N_IMPD,node ALLSEL,ALL FINISH

! IMPEDANCE ! PORT NUMBER

/SOLUTION EQSLV,SPARSE ANTYPE,HARMIC HROPT,FULL HARFRQ,0,300 NSUB,150 SOLVE FINISH

! ! ! ! !

SPARSE SOLVER HARMONIC ANALYSIS FULL METHOD EXCITATION FREQUENCY NUMBER OF SUBSTEPS

*CREATE,MYPOST,MAC *GET,AR80,NODE,,COUNT AR70=0 AR71=0 *DO,AR99,1,AR80 AR70=NDNEXT(AR70) AR71=AR71+PRES(AR70) *ENDDO AVG_PRES=AR71/AR80 *END /POST1 SET,LAST *GET,NUM_LSTEP,ACTIVE,0,SET,SBST VSEL,S,LOC,Z,zz(5),zz(6) ALLSEL,BELOW,VOLU CM,N_ROOMA,NODE ALLSEL,ALL /COM, ---Freq (Hz) Computed TL--/COM, /NOPR *DO,AR99,1,NUM_LSTEP SET,1,AR99,,AMPL *GET,Freq,ACTIVE,,SET,FREQ CMSEL,S,N_ROOMA MYPOST P_A=AVG_PRES CMSEL,S,N_IMPD MYPOST P_B=AVG_PRES TL = 20*LOG10(P_A/P_B)


1803

Verification Test Case Input Listings /OUT *VWRITE,Freq,TL %12.5e,%12.5e *ENDDO /OUT,SCRATCH *DIM,Frq,CHAR,9,1 *DIM,TL1,CHAR,9,1 *DIM,TL2,CHAR,9,1 *DIM,Ratio,,9,1 Frq(1)='10','40','80','84','214','228','278','286','300' TL1(1)='29.000','0.000','22.000','20.000','51.500','8.000','34.000','24.000','28.500' TL2(1)='28.708','0.071','21.544','20.000','49.984','7.642','32.576','22.696','26.685' R1 = 28.7/28.5 R2 = 1.000 R3 = 21.5/21.5 R4 = 20.0/20.0 R5 = 50.0/51.5 R6 = 7.6/8.0 R7 = 32.6/33.0 R8 = 22.7/25.0 R9 = 26.7/29.0 *VFILL,Ratio(1,1),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /OUT,vm283,vrt /COM, -----------------VM283 RESULT COMPARISON--------------------/COM /COM,| Freq (Hz) | Target | Mechanical APDL | Ratio | /COM, *VWRITE,Frq(1),TL1(1),TL2(1),RATIO(1,1) (3X,A8,' ',3X,A8,' ',3X,A8,' ',2X,F5.3,' ') /COM, /COM, --------------------------------------------------------------/OUT, *list,vm283,vrt FINISH

1804


Appendix B. Benchmark Input Listings This appendix contains all of the input listings for the benchmarks documented in Part II: Benchmark Study Descriptions (p. 823). Benchmark C1 Input Listing Benchmark C2 Input Listing Benchmark C3 Input Listing Benchmark C4 Input Listing Benchmark C5 Input Listing Benchmark C6 Input Listing Benchmark C7 Input Listing Benchmark C8 Input Listing Benchmark D1 Input Listing Benchmark D2 Input Listing Benchmark D3 Input Listing

Benchmark C1 Input Listing /COM,ANSYS MEDIA REL. 140 (11/26/2011) REF. VERIF. MANUAL: REL. 140 /VERIFY,VMC1 *DIM,NARAY,TABLE,13,8 ! 2-D NARAY FOR RESULTS INFO *taxis,naray(1,0),1,1,2,3,4,5,6,7,8,9,10 *taxis,naray(11,0),1,11,12,13 *taxis,naray(0,1),2,1,2,3,4,5,6,7,8 *CREATE,base, PARSAV,ALL /clear, nostart PARRES,CHANGE /PREP7 smrt,off /TITLE, VMC1, CLAMPED PLATE UNDER UNIFORMLY-DISTRIBUTED LOAD /COM, /OUT,SCRATCH ANTYPE,STATIC ET,1,ETYP ! DEFINE ELEMENT TYPE PARAMETRICALLY MP,EX,1,10E6 ! DEFINE MATERIAL PROPERTIES MP,NUXY,1,.3 A=10 ! DEFINE PLATE EDGE LENGTH T=1.0 ! DEFINE PLATE THICKNESS K,1,,,(-T/2) ! DEFINE KEYPOINTS K,2,(A/2),,(-T/2) K,3,(A/2),(A/2),(-T/2) K,4,,(A/2),(-T/2) KGEN,2,1,4,1,,,(T/2) L,1,5 *REPEAT,4,1,1 L,1,4 *REPEAT,2,4,4 L,1,2 *REPEAT,2,4,4 L,2,3 *REPEAT,2,4,4 L,3,4 *REPEAT,2,4,4 LSEL,S,LINE,,1,4 LESIZE,ALL,,,ARG2 Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

1805

Benchmark Input Listings LSEL,INVE LESIZE,ALL,,,ARG1 LSEL,ALL V,1,2,3,4,5,6,7,8 ESIZE,,1 MOPT,VMESH,ALTE VMESH,ALL ! MESH VOLUMES *GET,MAXN,NODE,,NUM,MAX ! GET MAX NODE NUMBER NARAY(ARG3,2)=ARG1 ! STORE N1 NARAY(ARG3,3)=ARG2 ! STORE N2 NARAY(ARG3,4)=MAXN*3 ! CALCULATE TOTAL NO. OF DOF'S NSEL,S,LOC,X,(A/2) ! SELECT NODES AND APPLY BOUNDARY CONDITIONS D,ALL,UX,0 NSEL,R,LOC,Z,0 D,ALL,ALL,0 NSEL,S,LOC,Y,(A/2) D,ALL,UY,0 NSEL,R,LOC,Z,0 D,ALL,ALL,0 NSEL,S,LOC,X,0 DSYM,SYMM,X NSEL,S,LOC,Y,0 DSYM,SYMM,Y NSEL,S,LOC,Z,0 DSYM,ASYM,Z NSEL,S,LOC,Z,-T/2 SF,ALL,PRES,-500 ! APPLY PRESSURE TO BOTTOM SURFACE NSEL,ALL /VIEW,1,0.5,-0.5,0.5 /ANG,1,-63 /AUTO,1 /DEVICE,VECTOR,1 /DEVICE,DITHER,1 /TYPE,ALL,4 /COLOR,NUM,BLUE,1 *IF,ETYP,EQ,45,THEN *IF,ARG1,EQ,3,THEN *IF,ARG2,EQ,1,THEN /TITLE,VMC1 - SQUARE MESH: (N1 = 3, N2 = 1) EPLOT *ENDIF *ENDIF *ENDIF *IF,ETYP,EQ,92,THEN *IF,ARG1,EQ,3,THEN *IF,ARG2,EQ,1,THEN /TITLE,VMC1 - TETRAHEDRAL MESH: (N1 = 3, N2 = 1) EPLOT *ENDIF *ENDIF *ENDIF *IF,ETYP,EQ,45,THEN *IF,ARG1,EQ,15,THEN *IF,ARG2,EQ,2,THEN /TITLE,VMC1 - SQUARE MESH: (N1 = 15, N2 = 2) EPLOT *ENDIF *ENDIF *ENDIF *IF,ARG1,EQ,5,THEN *IF,ARG2,EQ,1,THEN /TITLE,VMC1 - TETRAHEDRAL MESH: (N1 = 5, N2 = 1) EPLOT *ENDIF *ENDIF *IF,ETYP,EQ,45,THEN *IF,ARG1,EQ,25,THEN *IF,ARG2,EQ,5,THEN /TITLE,VMC1 - SQUARE MESH: (N1 = 25, N2 = 5) EPLOT *ENDIF *ENDIF

1806


Benchmark C1 Input Listing *ENDIF *IF,ARG1,EQ,7,THEN *IF,ARG2,EQ,1,THEN /TITLE,VMC1 - TETRAHEDRAL MESH: (N1 = 7, N2 = 1) EPLOT *ENDIF *ENDIF /SHOW,GRPH /TITLE, VMC1, CLAMPED PLATE UNDER UNIFORMLY-DISTRIBUTED LOAD FINISH /SOLU EQSLV,PCG SOLVE FINISH /POST1 NOD1=NODE(0,0,0) ! SELECT NODE AT LOCATION 1 *GET,UZ0,NODE,NOD1,U,Z ! GET DISPLACEMENT VALUE UZ(1) NARAY(ARG3,6)=-(UZ0/.017169) ! CALCULATE NORMALIZED UZ(1) NOD3=NODE(0,0,-T/2) *GET,SX3,NODE,NOD3,S,X ! GET STRESS VALUE SX(3) NARAY(ARG3,8)=(SX3/14.465E3) ! CALCULATE NORMALIZED SX(3) NOD2=NODE(A/2,0,-T/2) ! SELECT NODES AT LOCATION 2 *GET,SX2,NODE,NOD2,S,X ! GET STRESS VALUE SX(2) NARAY(ARG3,7)=-(SX2/32.124E3) ! CALCULATE NORMALIZED SX(2) NSEL,ALL *GET,NARAY(ARG3,5),PRERR,,SEPC ! STORE PERCENT ENERGY ERROR NORM PARSAV,,PARAM FINISH *END *DO,I,1,5 ! INITIALIZE COLUMN 1 WITH ELEMENT TYPES NARAY(I,1)=45 *ENDDO *DO,I,6,9 NARAY(I,1)=95 *ENDDO *DO,I,10,13 NARAY(I,1)=92 *ENDDO *DO,I,1,3 ! FOR ETYP = 45,95,92 *IF,I,LT,3,THEN *IF,I,EQ,1,THEN ETYP=45 NEND=5 JINDX=0 *ELSE ETYP=95 NEND=4 JINDX=5 *ENDIF /COM, COMMENT: CALL MACRO TO LOOP THROUGH DIFFERENT ELEMENT TYPES *DO,J,1,NEND *IF,J,EQ,1,THEN *USE,base,3,1,JINDX+J *ELSEIF,J,EQ,2,THEN *USE,base,6,1,JINDX+J *ELSEIF,J,EQ,3,THEN *USE,base,15,2,JINDX+J *ELSEIF,J,EQ,4,THEN *USE,base,20,4,JINDX+J *ELSEIF,J,EQ,5,THEN *USE,base,25,5,JINDX+J *ENDIF *ENDDO *ELSE ETYP=92 NEND=4 JINDX=9 *DO,J,1,NEND *IF,J,EQ,1,THEN *USE,base,3,1,JINDX+J *ELSEIF,J,EQ,2,THEN *USE,base,5,1,JINDX+J


1807

Benchmark Input Listings *ELSEIF,J,EQ,3,THEN *USE,base,7,1,JINDX+J *ELSEIF,J,EQ,4,THEN *USE,base,10,2,JINDX+J *ENDIF *ENDDO *ENDIF *ENDDO SAVE,temp,db /OUT /GRID,1 /AXLAB,X,No. DOF'S /AXLAB,Y,% ERROR IN ENERGY NORM /GTHK,AXIS,2 /GTHK,CURVE,3 /GROPT,LOGX,ON /GROPT,LOGY,ON /XRANGE,10,1E5 /YRANGE,0,1.25 *VLEN,5,1 *VPLOT,NARAY(1,4),NARAY(1,5) *VLEN,4,1 *VPLOT,NARAY(6,4),NARAY(6,5) *VLEN,4,1 *VPLOT,NARAY(10,4),NARAY(10,5) /AXLAB,Y,SX(2) RATIO /GROPT,LOGY,OFF *VLEN,5,1 *VPLOT,NARAY(1,4),NARAY(1,7) *VLEN,4,1 *VPLOT,NARAY(6,4),NARAY(6,7) *VLEN,4,1 *VPLOT,NARAY(10,4),NARAY(10,7) FINISH /DELETE,PARAM /DELETE,base /DELETE,vmc1,PCS

/TITLE, VMC1, CLAMPED PLATE UNDER UNIFORMLY-DISTRIBUTED LOAD *DIM,NARAY,TABLE,13,8 ! 2-D NARAY FOR RESULTS INFO *taxis,naray(1,0),1,1,2,3,4,5,6,7,8,9,10 *taxis,naray(11,0),1,11,12,13 *taxis,naray(0,1),2,1,2,3,4,5,6,7,8 *CREATE,base, PARSAV,ALL /clear, nostart PARRES,CHANGE /PREP7 smrt,off /TITLE, VMC1, CLAMPED PLATE UNDER UNIFORMLY-DISTRIBUTED LOAD /COM, !/OUT,SCRATCH ANTYPE,STATIC *IF,ETYP,EQ,185,THEN K2=2 *ELSEIF,ETYP,EQ,186,THEN K2=1 *ELSE K2=0 *ENDIF ET,1,ETYP,,K2 ! DEFINE ELEMENT TYPE PARAMETRICALLY MP,EX,1,10E6 ! DEFINE MATERIAL PROPERTIES MP,NUXY,1,.3 A=10 ! DEFINE PLATE EDGE LENGTH T=1.0 ! DEFINE PLATE THICKNESS K,1,,,(-T/2) ! DEFINE KEYPOINTS K,2,(A/2),,(-T/2) K,3,(A/2),(A/2),(-T/2) K,4,,(A/2),(-T/2) KGEN,2,1,4,1,,,(T/2) L,1,5

1808


Benchmark C1 Input Listing *REPEAT,4,1,1 L,1,4 *REPEAT,2,4,4 L,1,2 *REPEAT,2,4,4 L,2,3 *REPEAT,2,4,4 L,3,4 *REPEAT,2,4,4 LSEL,S,LINE,,1,4 LESIZE,ALL,,,ARG2 LSEL,INVE LESIZE,ALL,,,ARG1 LSEL,ALL V,1,2,3,4,5,6,7,8 ESIZE,,1 MOPT,VMESH,ALTE VMESH,ALL ! MESH VOLUMES *GET,MAXN,NODE,,NUM,MAX ! GET MAX NODE NUMBER NARAY(ARG3,2)=ARG1 ! STORE N1 NARAY(ARG3,3)=ARG2 ! STORE N2 NARAY(ARG3,4)=MAXN*3 ! CALCULATE TOTAL NO. OF DOF'S NSEL,S,LOC,X,(A/2) ! SELECT NODES AND APPLY BOUNDARY CONDITIONS D,ALL,UX,0 NSEL,R,LOC,Z,0 D,ALL,ALL,0 NSEL,S,LOC,Y,(A/2) D,ALL,UY,0 NSEL,R,LOC,Z,0 D,ALL,ALL,0 NSEL,S,LOC,X,0 DSYM,SYMM,X NSEL,S,LOC,Y,0 DSYM,SYMM,Y NSEL,S,LOC,Z,0 DSYM,ASYM,Z NSEL,S,LOC,Z,-T/2 SF,ALL,PRES,-500 ! APPLY PRESSURE TO BOTTOM SURFACE NSEL,ALL /VIEW,1,0.5,-0.5,0.5 /ANG,1,-63 /AUTO,1 /DEVICE,VECTOR,1 /DEVICE,DITHER,1 /TYPE,ALL,4 /COLOR,NUM,BLUE,1 *IF,ETYP,EQ,185,THEN *IF,ARG1,EQ,3,THEN *IF,ARG2,EQ,1,THEN /TITLE,VMC1 - SQUARE MESH: (N1 = 3, N2 = 1) EPLOT *ENDIF *ENDIF *ENDIF *IF,ETYP,EQ,187,THEN *IF,ARG1,EQ,3,THEN *IF,ARG2,EQ,1,THEN /TITLE,VMC1 - TETRAHEDRAL MESH: (N1 = 3, N2 = 1) EPLOT *ENDIF *ENDIF *ENDIF *IF,ETYP,EQ,185,THEN *IF,ARG1,EQ,15,THEN *IF,ARG2,EQ,2,THEN /TITLE,VMC1 - SQUARE MESH: (N1 = 15, N2 = 2) EPLOT *ENDIF *ENDIF *ENDIF *IF,ARG1,EQ,5,THEN *IF,ARG2,EQ,1,THEN


1809

Benchmark Input Listings /TITLE,VMC1 - TETRAHEDRAL MESH: (N1 = 5, N2 = 1) EPLOT *ENDIF *ENDIF *IF,ETYP,EQ,185,THEN *IF,ARG1,EQ,25,THEN *IF,ARG2,EQ,5,THEN /TITLE,VMC1 - SQUARE MESH: (N1 = 25, N2 = 5) EPLOT *ENDIF *ENDIF *ENDIF *IF,ARG1,EQ,7,THEN *IF,ARG2,EQ,1,THEN /TITLE,VMC1 - TETRAHEDRAL MESH: (N1 = 7, N2 = 1) EPLOT *ENDIF *ENDIF /SHOW,GRPH /TITLE, VMC1, CLAMPED PLATE UNDER UNIFORMLY-DISTRIBUTED LOAD FINISH /SOLU EQSLV,PCG SOLVE FINISH /POST1 NOD1=NODE(0,0,0) ! SELECT NODE AT LOCATION 1 *GET,UZ0,NODE,NOD1,U,Z ! GET DISPLACEMENT VALUE UZ(1) NARAY(ARG3,6)=-(UZ0/.017169) ! CALCULATE NORMALIZED UZ(1) NOD3=NODE(0,0,-T/2) *GET,SX3,NODE,NOD3,S,X ! GET STRESS VALUE SX(3) NARAY(ARG3,8)=(SX3/14.465E3) ! CALCULATE NORMALIZED SX(3) NOD2=NODE(A/2,0,-T/2) ! SELECT NODES AT LOCATION 2 *GET,SX2,NODE,NOD2,S,X ! GET STRESS VALUE SX(2) NARAY(ARG3,7)=-(SX2/32.124E3) ! CALCULATE NORMALIZED SX(2) NSEL,ALL *GET,NARAY(ARG3,5),PRERR,,SEPC ! STORE PERCENT ENERGY ERROR NORM PARSAV,,PARAM FINISH *END *DO,I,1,5 ! INITIALIZE COLUMN 1 WITH ELEMENT TYPES NARAY(I,1)=185 *ENDDO *DO,I,6,9 NARAY(I,1)=186 *ENDDO *DO,I,10,13 NARAY(I,1)=187 *ENDDO *DO,I,1,3 ! FOR ETYP = 185,186,187 *IF,I,LT,3,THEN *IF,I,EQ,1,THEN ETYP=185 K2=2 NEND=5 JINDX=0 *ELSEIF,I,EQ,2,THEN ETYP=186 K2=1 NEND=4 JINDX=5 *ELSEIF,I,EQ,3,THEN ETYP=187 K2=0 NEND=4 JINDX=5 *ENDIF /COM, COMMENT: CALL MACRO TO LOOP THROUGH DIFFERENT ELEMENT TYPES *DO,J,1,NEND *IF,J,EQ,1,THEN *USE,base,3,1,JINDX+J *ELSEIF,J,EQ,2,THEN

1810


Benchmark C1 Input Listing *USE,base,6,1,JINDX+J *ELSEIF,J,EQ,3,THEN *USE,base,15,2,JINDX+J *ELSEIF,J,EQ,4,THEN *USE,base,20,4,JINDX+J *ELSEIF,J,EQ,5,THEN *USE,base,25,5,JINDX+J *ENDIF *ENDDO *ELSE ETYP=187 NEND=4 JINDX=9 *DO,J,1,NEND *IF,J,EQ,1,THEN *USE,base,3,1,JINDX+J *ELSEIF,J,EQ,2,THEN *USE,base,5,1,JINDX+J *ELSEIF,J,EQ,3,THEN *USE,base,7,1,JINDX+J *ELSEIF,J,EQ,4,THEN *USE,base,10,2,JINDX+J *ENDIF *ENDDO *ENDIF *ENDDO SAVE,temp2,db /GRID,1 /AXLAB,X,No. DOF'S /AXLAB,Y,% ERROR IN ENERGY NORM /GTHK,AXIS,2 /GTHK,CURVE,3 /GROPT,LOGX,ON /GROPT,LOGY,ON /XRANGE,10,1E5 /YRANGE,0,1.25 *VLEN,5,1 *VPLOT,NARAY(1,4),NARAY(1,5) *VLEN,4,1 *VPLOT,NARAY(6,4),NARAY(6,5) *VLEN,4,1 *VPLOT,NARAY(10,4),NARAY(10,5) /AXLAB,Y,SX(2) RATIO /GROPT,LOGY,OFF *VLEN,5,1 *VPLOT,NARAY(1,4),NARAY(1,7) *VLEN,4,1 *VPLOT,NARAY(6,4),NARAY(6,7) *VLEN,4,1 *VPLOT,NARAY(10,4),NARAY(10,7) FINISH /DELETE,PARAM /DELETE,base /DELETE,vmc1,PCS RESUME,temp,db /OUT /OUT,vmc1,vrt /COM /COM,------------------- VMC1 RESULTS LISTING -----------------------------------/COM, /COM,| ETYP | N1 | N2 | DOF | %ERR NM | UZ(1) /COM, *VWRITE,naray(1,1),naray(1,2),naray(1,3),NARAY(1,4),NARAY(1,5),NARAY(1,6) (F5.0,' ',F5.0,' ',F5.0,' ',F10.0,' ',F7.3,' ',F5.3) /COM,----------------------------------------------------------------------------/COM /COM,------------------- VMC1 RESULTS CONT. -------------------------------------/COM, /COM,| SX(2) | SX(3) | /COM, *VWRITE,NARAY(1,7),NARAY(1,8) (F7.3,' ',F7.3)


1811

Benchmark Input Listings /COM,----------------------------------------------------------------------------/OUT /OUT RESUME,temp2,db /OUT,vmc1,vrt,,append /COM /COM,------------------- VMC1 RESULTS LISTING -----------------------------------/COM, /COM,| ETYP | N1 | N2 | DOF | %ERR NM | UZ(1) /COM, *VWRITE,naray(1,1),naray(1,2),naray(1,3),NARAY(1,4),NARAY(1,5),NARAY(1,6) (F5.0,' ',F5.0,' ',F5.0,' ',F10.0,' ',F7.3,' ',F5.3) /COM,----------------------------------------------------------------------------/COM /COM,------------------- VMC1 RESULTS CONT. -------------------------------------/COM, /COM,| SX(2) | SX(3) | /COM, *VWRITE,NARAY(1,7),NARAY(1,8) (F7.3,' ',F7.3) /COM,----------------------------------------------------------------------------/OUT *LIST,vmc1,vrt

Benchmark C2 Input Listing /COM,ANSYS MEDIA REL. 140 (11/26/2011) REF. VERIF. MANUAL: REL. 140 /VERIFY,VMC2 /NOPR *DIM,NARAY,TABLE,12,6 ! 2-D NARAY FOR RESULTS INFO *DO,I,1,12 *DO,J,1,6 NARAY(I,J)=0. ! INITIALIZE NARAY *ENDDO *ENDDO *CREATE,base, PARSAV,ALL /clear, nostart PARRES,CHANGE /PREP7 $smrt,off /TITLE, VMC2, ELLIPTIC MEMBRANE UNDER A UNIFORMLY-DISTRIBUTED LOAD /COM, SEE "SELECTED FE BENCHMARKS FOR STRUCTURAL AND THERMAL ANALYSIS", /COM, NAFEMS REPORT NO. FEBSTA, REV. 1, OCT. 1986, TEST NO. LE1 /COM, ET,1,ETYP,,,3 ! DEFINE ELEMENT TYPE (PARAMETRICALLY) MP,EX,1,210E9 ! DEFINE MATERIAL PROPERTIES MP,NUXY,1,.3 R,1,0.1 ! SET THICKNESS LOCAL,11,1,,,,,,,0.5 ! DEFINE ELLIPTICAL COORD. SYSTEM K,1,2,90 K,4,2,0 ! CREATE MODEL GEOMETRY K,5,1.165,20 KMOVE,5,0,1.165,U,0.0,11,2.0,U,0.0 K,8,2.0,5.0 KMOVE,8,0,U,0.453,0.0,11,E,U,0.0 L,1,5 L,5,8 L,8,4 LOCAL,12,1,,,,,,,0.8461585 K,2,3.25,90 K,3,3.25,0.0 K,6,3.25,67 KMOVE,6,0,1.783,U,0.0,12,E,U,0.0 K,7,3.25,25 KMOVE,7,0,U,1.348,0.0,12,E,U,0.0 L,2,6 L,6,7 L,7,3

1812


Benchmark C2 Input Listing LESIZE,ALL,,,ARG1 CSYS,0 L,1,2, L,4,3, LSEL,S,LINE,,7,8 LESIZE,ALL,,,ARG2 LSEL,ALL A,4,3,7,8 A,8,7,6,5 A,5,6,2,1 ESIZE,,ARG2 ESHAPE,2 AMESH,ALL *GET,MAXN,NODE,,NUM,MAX NARAY(ARG3,2)=ARG1 NARAY(ARG3,3)=ARG2 NARAY(ARG3,4)=MAXN*2 NSEL,S,LOC,Y,0 DSYM,SYMM,Y,1 NSEL,S,LOC,X,0 DSYM,SYMM,Y,1 CSYS,12 NSEL,S,LOC,X,3.25 SF,ALL,PRES,-10E6 NSEL,ALL

! ! ! ! !

MESH ALL AREAS GET MAX NODE NUMBER STORE N1 STORE N2 CALCULATE NO. DEGREES OF FREEDOM

! APPLY BOUNDARY CONDITIONS

! APPLY PRESSURE LOAD

/VIEW,1,,,1 /ANG,1 /AUTO,1 /DEVICE,VECTOR,1 /DEVICE,DITHER,1 /TYPE,ALL,4 /COLOR,NUM,BLUE,1 *IF,ETYP,EQ,42,THEN *IF,ARG1,EQ,1,THEN *IF,ARG2,EQ,2,THEN /TITLE,VMC2 - QUADRILATERAL MESH: (N1 EPLOT *ENDIF *ENDIF *ENDIF *IF,ETYP,EQ,42,THEN *IF,ARG1,EQ,3,THEN *IF,ARG2,EQ,4,THEN /TITLE,VMC2 - QUADRILATERAL MESH: (N1 EPLOT *ENDIF *ENDIF *ENDIF *IF,ETYP,EQ,42,THEN *IF,ARG1,EQ,8,THEN *IF,ARG2,EQ,10,THEN /TITLE,VMC2 - QUADRILATERAL MESH: (N1 EPLOT *ENDIF *ENDIF *ENDIF /SHOW,GRPH /TITLE, VMC2, ELLIPTIC MEMBRANE UNDER A OUTRES,STRS OUTPR,BASIC FINISH /SOLU SOLVE FINISH /POST1 NSEL,S,LOC,Y,0,.1 NSEL,R,LOC,X,2.0 NSORT,S,Y *GET,MAXN,NODE,,NUM,MAX *GET,SYM,NODE,MAXN,S,Y

= 1, N2 = 2)

= 3, N2 = 4)

= 8, N2 = 10)

UNIFORMLY-DISTRIBUTED LOAD

! GET MAX NODE NUMBER ! GET DESIRED SY STRESS VALUE


1813

Benchmark Input Listings TARG=92.7E6 NARAY(ARG3,6)=SYM/TARG *GET,NARAY(ARG3,5),PRERR,,SEPC PARSAV,,PARAM FINISH *END *DO,I,1,6 NARAY(I,1)=42 NARAY(I+6,1)=82 *ENDDO *DO,I,1,2 *IF,I,EQ,1,THEN ETYP=42 JINDX=0 *ELSEIF,I,EQ,2,THEN ETYP=82 JINDX=6 *ENDIF /COM, COMMENT: CALL MACRO TO *DO,J,1,6 *IF,J,EQ,1,THEN *USE,base,1,2,JINDX+J *ELSEIF,J,EQ,2,THEN *USE,base,2,3,JINDX+J *ELSEIF,J,EQ,3,THEN *USE,base,3,4,JINDX+J *ELSEIF,J,EQ,4,THEN *USE,base,5,7,JINDX+J *ELSEIF,J,EQ,5,THEN *USE,base,8,10,JINDX+J *ELSEIF,J,EQ,6,THEN *USE,base,10,12,JINDX+J *ENDIF *ENDDO *ENDDO SAVE,temp,db /OUT /SHOW,,GRPH /GRID,1 /AXLAB,X,No. DOF'S /AXLAB,Y,% ERROR IN ENERGY NORM /GTHK,AXIS,2 /GTHK,CURVE,3 /GROPT,LOGX,ON /GROPT,LOGY,ON /XRANGE,10,1E5 /YRANGE,0,1.25 *VLEN,6,1 *VPLOT,NARAY(1,4),NARAY(1,5) *VLEN,6,1 *VPLOT,NARAY(7,4),NARAY(7,5) /AXLAB,Y,SY RATIO /GROPT,LOGY,OFF *VLEN,6,1 *VPLOT,NARAY(1,4),NARAY(1,6) *VLEN,6,1 *VPLOT,NARAY(7,4),NARAY(7,6) finish /delete,PARAM /delete,base /VERIFY,VMC2 /NOPR *DIM,NARAY,TABLE,12,6 *DO,I,1,12 *DO,J,1,6 NARAY(I,J)=0. *ENDDO *ENDDO *CREATE,base, PARSAV,ALL /clear, nostart

1814

! TARGET SY VALUE ! NORMALIZED SY VALUE ! STORE PERCENT ENERGY ERROR NORM

! INITIALIZE COLUMN 1 WITH ELEMENT TYPES

LOOP THROUGH DIFFERENT ELEMENT TYPES

! 2-D NARAY FOR RESULTS INFO

! INITIALIZE NARAY


Benchmark C2 Input Listing PARRES,CHANGE /PREP7 $smrt,off /TITLE, VMC2, ELLIPTIC MEMBRANE UNDER A UNIFORMLY-DISTRIBUTED LOAD /COM, SEE "SELECTED FE BENCHMARKS FOR STRUCTURAL AND THERMAL ANALYSIS", /COM, NAFEMS REPORT NO. FEBSTA, REV. 1, OCT. 1986, TEST NO. LE1 /COM, ET,1,ETYP,,,3 ! DEFINE ELEMENT TYPE (PARAMETRICALLY) MP,EX,1,210E9 ! DEFINE MATERIAL PROPERTIES MP,NUXY,1,.3 R,1,0.1 ! SET THICKNESS LOCAL,11,1,,,,,,,0.5 ! DEFINE ELLIPTICAL COORD. SYSTEM K,1,2,90 K,4,2,0 ! CREATE MODEL GEOMETRY K,5,1.165,20 KMOVE,5,0,1.165,U,0.0,11,2.0,U,0.0 K,8,2.0,5.0 KMOVE,8,0,U,0.453,0.0,11,E,U,0.0 L,1,5 L,5,8 L,8,4 LOCAL,12,1,,,,,,,0.8461585 K,2,3.25,90 K,3,3.25,0.0 K,6,3.25,67 KMOVE,6,0,1.783,U,0.0,12,E,U,0.0 K,7,3.25,25 KMOVE,7,0,U,1.348,0.0,12,E,U,0.0 L,2,6 L,6,7 L,7,3 LESIZE,ALL,,,ARG1 CSYS,0 L,1,2, L,4,3, LSEL,S,LINE,,7,8 LESIZE,ALL,,,ARG2 LSEL,ALL A,4,3,7,8 A,8,7,6,5 A,5,6,2,1 ESIZE,,ARG2 ESHAPE,2 AMESH,ALL ! MESH ALL AREAS *GET,MAXN,NODE,,NUM,MAX ! GET MAX NODE NUMBER NARAY(ARG3,2)=ARG1 ! STORE N1 NARAY(ARG3,3)=ARG2 ! STORE N2 NARAY(ARG3,4)=MAXN*2 ! CALCULATE NO. DEGREES OF FREEDOM NSEL,S,LOC,Y,0 DSYM,SYMM,Y,1 ! APPLY BOUNDARY CONDITIONS NSEL,S,LOC,X,0 DSYM,SYMM,Y,1 CSYS,12 NSEL,S,LOC,X,3.25 SF,ALL,PRES,-10E6 ! APPLY PRESSURE LOAD NSEL,ALL /VIEW,1,,,1 /ANG,1 /AUTO,1 /DEVICE,VECTOR,1 /DEVICE,DITHER,1 /TYPE,ALL,4 /COLOR,NUM,BLUE,1 *IF,ETYP,EQ,182,THEN *IF,ARG1,EQ,1,THEN *IF,ARG2,EQ,2,THEN /TITLE,VMC2 - QUADRILATERAL MESH: (N1 = 1, N2 = 2) EPLOT *ENDIF *ENDIF *ENDIF *IF,ETYP,EQ,183,THEN


1815

Benchmark Input Listings MSHAPE,1,2D *IF,ARG1,EQ,2,THEN *IF,ARG2,EQ,3,THEN /TITLE,VMC2 - TRIANGLE MESH: (N1 = 2, N2 = 3) EPLOT *ENDIF *ENDIF *ENDIF *IF,ETYP,EQ,182,THEN *IF,ARG1,EQ,3,THEN *IF,ARG2,EQ,4,THEN /TITLE,VMC2 - QUADRILATERAL MESH: (N1 = 3, N2 = 4) EPLOT *ENDIF *ENDIF *ENDIF *IF,ETYP,EQ,183,THEN MSHAPE,1,2D *IF,ARG1,EQ,5,THEN *IF,ARG2,EQ,7,THEN /TITLE,VMC2 - TRIANGLE MESH: (N1 = 5, N2 = 7) EPLOT *ENDIF *ENDIF *ENDIF *IF,ETYP,EQ,182,THEN *IF,ARG1,EQ,8,THEN *IF,ARG2,EQ,10,THEN /TITLE,VMC2 - QUADRILATERAL MESH: (N1 = 8, N2 = 10) EPLOT *ENDIF *ENDIF *ENDIF *IF,ETYP,EQ,183,THEN MSHAPE,1,2D *IF,ARG1,EQ,10,THEN *IF,ARG2,EQ,12,THEN /TITLE,VMC2 - TRIANGLE MESH: (N1 = 10, N2 = 12) EPLOT *ENDIF *ENDIF *ENDIF /SHOW,GRPH /TITLE, VMC2, ELLIPTIC MEMBRANE UNDER A UNIFORMLY-DISTRIBUTED LOAD OUTRES,STRS OUTPR,BASIC FINISH /SOLU SOLVE FINISH /POST1 NSEL,S,LOC,Y,0,.1 NSEL,R,LOC,X,2.0 NSORT,S,Y *GET,MAXN,NODE,,NUM,MAX *GET,SYM,NODE,MAXN,S,Y TARG=92.7E6 NARAY(ARG3,6)=SYM/TARG *GET,NARAY(ARG3,5),PRERR,,SEPC PARSAV,,PARAM FINISH *END *DO,I,1,6 NARAY(I,1)=182 NARAY(I+6,1)=183 *ENDDO *DO,I,1,2 *IF,I,EQ,1,THEN ETYP=182 JINDX=0 *ELSEIF,I,EQ,2,THEN

1816

! ! ! ! !

GET MAX NODE NUMBER GET DESIRED SY STRESS VALUE TARGET SY VALUE NORMALIZED SY VALUE STORE PERCENT ENERGY ERROR NORM

! INITIALIZE COLUMN 1 WITH ELEMENT TYPES


Benchmark C2 Input Listing ETYP=183 JINDX=6 *ENDIF /COM, COMMENT: CALL MACRO TO LOOP THROUGH DIFFERENT ELEMENT TYPES *DO,J,1,6 *IF,J,EQ,1,THEN *USE,base,1,2,JINDX+J *ELSEIF,J,EQ,2,THEN *USE,base,2,3,JINDX+J *ELSEIF,J,EQ,3,THEN *USE,base,3,4,JINDX+J *ELSEIF,J,EQ,4,THEN *USE,base,5,7,JINDX+J *ELSEIF,J,EQ,5,THEN *USE,base,8,10,JINDX+J *ELSEIF,J,EQ,6,THEN *USE,base,10,12,JINDX+J *ENDIF *ENDDO *ENDDO SAVE,temp2,db /SHOW,,GRPH /GRID,1 /AXLAB,X,No. DOF'S /AXLAB,Y,% ERROR IN ENERGY NORM /GTHK,AXIS,2 /GTHK,CURVE,3 /GROPT,LOGX,ON /GROPT,LOGY,ON /XRANGE,10,1E5 /YRANGE,0,1.25 *VLEN,6,1 *VPLOT,NARAY(1,4),NARAY(1,5) *VLEN,6,1 *VPLOT,NARAY(7,4),NARAY(7,5) /AXLAB,Y,SY RATIO /GROPT,LOGY,OFF *VLEN,6,1 *VPLOT,NARAY(1,4),NARAY(1,6) *VLEN,6,1 *VPLOT,NARAY(7,4),NARAY(7,6) finish RESUME,temp,db /OUT, /OUT,vmc2,vrt /COM /COM,------------------- VMC2 RESULTS LISTING -----------------------------------/COM, /COM,| ETYP | N1 | N2 | DOF | %ERR NM | SY RAT | /COM, *VWRITE,naray(1,1),naray(1,2),naray(1,3),NARAY(1,4),NARAY(1,5),NARAY(1,6) (F5.0,' ',F5.0,' ',F5.0,' ',F10.0,' ',F7.3,' ',F5.3) /COM,----------------------------------------------------------------------------/OUT RESUME,temp2,db /OUT,vmc2,vrt,,append /COM /COM,------------------- VMC2 RESULTS LISTING -----------------------------------/COM, /COM,| ETYP | N1 | N2 | DOF | %ERR NM | SY RAT | /COM, *VWRITE,naray(1,1),naray(1,2),naray(1,3),NARAY(1,4),NARAY(1,5),NARAY(1,6) (F5.0,' ',F5.0,' ',F5.0,' ',F10.0,' ',F7.3,' ',F5.3) /COM,----------------------------------------------------------------------------/OUT *LIST,vmc2,vrt /delete,PARAM /delete,base finish


1817

Benchmark Input Listings

Benchmark C3 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMC3 /SHOW /TITLE, VMC3, BARREL VAULT ROOF UNDER SELF WEIGHT /COM, REF: COOK, CONCEPTS AND APPL OF F.E.A., 2ND ED., 1981, PP. 284-287. *DIM,NARAY,TABLE,12,7 ! 2-D NARAY FOR RESULTS INFO *DO,I,1,12 *DO,J,1,7 NARAY(I,J)=0. ! INITIALIZE NARAY *ENDDO *ENDDO *CREATE,base, PARSAV,ALL /clear, nostart PARRES,CHANGE /PREP7 smrt,off /TITLE, VMC3, BARREL VAULT ROOF UNDER SELF WEIGHT /COM, REF: COOK, CONCEPTS AND APPL OF F.E.A., 2ND ED., 1981, PP. 284-287. /OUT,SCRATCH ANTYPE,STATIC ET,1,ETYP ! DEFINE ELEMENT TYPE PARAMETRICALLY *IF,ETYP,EQ,181,THEN KEYOPT,1,3,2 *ENDIF MP,EX,1,4.32E8 ! DEFINE MATERIAL PROPERTIES MP,NUXY,1,0.0 R,1,0.25 MP,DENS,1,36.7347 CSYS,1 ! DEFINE CYLINDRICAL C.S. K,1,25,50 K,2,25,70 ! DEFINE KEYPOINTS K,3,25,90 KGEN,3,1,3,1,,,12.5 A,1,2,5,4 A,2,3,6,5 ! DEFINE AREAS A,4,5,8,7 A,5,6,9,8 ESIZE,,ARG1/2 ESHAPE,ARG2 AMESH,ALL ! MESH ALL AREAS /VIEW,1,1,1,1 NARAY(ARG3,2)=ARG1 ! STORE N1 NARAY(ARG3,3)=ARG2 ! STORE N2 *GET,MAXN,NODE,,NUM,MAX ! GET MAX NODE NUMBER NARAY(ARG3,4)=MAXN*6 ! CALCULATE NO. DEGREES OF FREEDOM NSEL,S,LOC,Z,0 NSEL,R,LOC,Y,50 ! SELECT NODE OF INTEREST *GET,N1,NODE,,NUM,MAX ! GET NODE NUMBER NSEL,S,LOC,Z,0 NSEL,R,LOC,Y,90 *GET,N2,NODE,,NUM,MAX ! GET NODE NUMBER NSEL,ALL CSYS,0 ! SWITCH TO GLOBAL CARTESIAN C.S. NSEL,S,LOC,X,0 DSYM,SYMM,X,0 NSEL,S,LOC,Z,0 DSYM,SYMM,Z,0 NSEL,S,LOC,Z,25 D,ALL,UX,0,,,,UY,ROTZ ! CONSTRAIN MODEL EDGE NSEL,ALL ACEL,,9.8 ! DEFINE GRAVITATIONAL ACCELERATION !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !! SETUP AND PLOT ELEMENTS FOR DOCUMENTATION !! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! /AUTO,1 /VIEW,1,0.5,0.5,0.5

1818


Benchmark C3 Input Listing /ANG,1,6.28 /DEVICE,VECTOR,1 /DEVICE,DITHER,1 /TYPE,ALL,4 /COLOR,NUM,BLUE,1 *IF,ETYP,NE,43,OR,ETYP,NE,63,THEN, *IF,ARG1,EQ,4,THEN *IF,ARG2,EQ,2,THEN /TITLE,VMC3 - QUADRILATERAL MESH (N = 4) EPLOT *ENDIF *ENDIF *ENDIF *IF,ETYP,NE,43,OR,ETYP,NE,63,THEN *IF,ARG1,EQ,8,THEN *IF,ARG2,EQ,2,THEN /TITLE,VMC3 - QUADRILATERAL MESH (N = 8) EPLOT *ENDIF *ENDIF *ENDIF *IF,ETYP,NE,43,OR,ETYP,NE,63,THEN *IF,ARG1,EQ,4,THEN *IF,ARG2,EQ,1,THEN /TITLE,VMC3 - TRIANGLE MESH (N = 4) EPLOT *ENDIF *ENDIF *ENDIF *IF,ETYP,NE,43,OR,ETYP,NE,63,THEN *IF,ARG1,EQ,8,THEN *IF,ARG2,EQ,1,THEN /TITLE,VMC3 - TRIANGLE MESH (N = 8) EPLOT *ENDIF *ENDIF *ENDIF /SHOW,GRPH /TITLE, VMC3, BARREL VAULT ROOF UNDER SELF WEIGHT FINISH /SOLU SOLVE FINISH /POST1 SHELL,MID ! SELECT BOTTOM SURFACE *GET,UY1,NODE,N1,U,Y ! GET UY AT NODE N1 NARAY(ARG3,5)=-(UY1/.3016) ! CALCULATE NORMALIZED UY1 W/R TO TARGET RSYS,1 ! ACTIVATE CYLINDRICAL C.S. FOR RESULTS SHELL,BOT ! SELECT BOTTOM SURFACE *GET,SY2B,NODE,N2,S,Y ! GET CIRCUMFERENTIAL (Y) STRESS AT BOTTOM NARAY(ARG3,7)=(SY2B/(-213400)) ! CALCULATE NORMALIZED SY2B *GET,SZ1B,NODE,N1,S,Z ! GET AXIAL (Z) STRESS AT BOTTOM NARAY(ARG3,6)=(SZ1B/358420) ! CALCULATE NORMALIZED SZ1B PARSAV,,PARAM FINISH *END *DO,I,1,4 ! INITIALIZE COLUMN 1 WITH ELEMENT TYPES NARAY(I,1)=63 NARAY(I+4,1)=181 NARAY(I+8,1)=281 *ENDDO *DO,I,1,3 *IF,I,EQ,1,THEN ETYP=63 JINDX=0 *ELSEIF,I,EQ,2,THEN ETYP=181 JINDX=4 *ELSEIF,I,EQ,3,THEN ETYP=281 JINDX=8 *ENDIF


1819

Benchmark Input Listings /COM, COMMENT: CALL MACRO TO LOOP THROUGH DIFFERENT ELEMENT TYPE *DO,J,1,4 *IF,J,EQ,1,THEN *USE,base,4,2,JINDX+J *ELSEIF,J,EQ,2,THEN *USE,base,8,2,JINDX+J *ELSEIF,J,EQ,3,THEN *USE,base,4,1,JINDX+J *ELSEIF,J,EQ,4,THEN *USE,base,8,1,JINDX+J *ENDIF *ENDDO *ENDDO SAVE,temp,db finish RESUME,temp,db /OUT,vmc3,vrt /OUT /COM /COM,------------------- VMC3 RESULTS LISTING -----------------------------------/COM, /COM,| ETYP | N | DOF | UY(1) | SIG-z | SIG-th | /COM, *VWRITE,naray(1,1),naray(1,2),naray(1,4),NARAY(1,5),NARAY(1,6),NARAY(1,7) (F5.0,' ',F5.0,' ',F5.0,' ',F10.3,' ',F7.3,' ',F5.3) /COM,----------------------------------------------------------------------------/OUT *LIST,vmc3,vrt finish

Benchmark C4 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMC4 /SHOW *DIM,NARAY,TABLE,6,13 ! 2-D NARAY FOR RESULTS INFO *DO,I,1,6 *DO,J,1,13 NARAY(I,J)=0. ! INITIALIZE NARAY *ENDDO *ENDDO *CREATE,base, PARSAV,ALL /clear, nostart PARRES,CHANGE /PREP7 smrt,off /TITLE, VMC4, SIMPLY-SUPPORTED THIN ANNULAR PLATE /COM, SEE "SELECTED BENCHMARKS FOR NATURAL FREQUENCY ANALYSIS", REPORT TO /COM, NAFEMS BY W.S. ATKINS ENGINEERING SCIENCES, REPORT NO. 20939.01, ISSUE /COM, JUNE 1987, TEST CASE NO. 14. (MODIFIED) /COM, /OUT,SCRATCH ANTYPE,MODAL MODOPT,LANB,9 ! LANB EXTRACTION METHOD ET,1,ARG1 ! DEFINE ELEMENT TYPE PARAMETRICALLY NARAY(ARG5,1)=ARG1 ! STORE ETYPE SECTYPE,1,SHELL SECDATA,0.06,1,0,3 MP,EX,1,200E9 ! SPECIFY MATERIAL PROPERTIES MP,NUXY,1,.3 MP,DENS,1,8000 CSYS,1 ! SPECIFY CYLINDRICAL COORDINATES K,1,1.8 K,2,6 ! DEFINE KEYPOINTS (FIRST QUADRANT) K,3,6,90 K,4,1.8,90

1820


Benchmark C4 Input Listing L,1,2 L,2,3 ! DEFINE LINES SEGMENTS L,3,4 L,4,1 LSEL,S,LINE,,1,3,2 LESIZE,ALL,,,ARG2 LSEL,INVE LESIZE,ALL,,,ARG3/4 LSEL,ALL MSHAPE,ARG4,2D A,1,2,3,4 ! DEFINE AREA MAT,1 SECNUM,1 AMESH,1 ! MESH AREA CSYS,0 ! SPECIFY CARTESIAN COORDINATE SYSTEM ARSYM,1,1 ! REFLECT AREA AND MESH ABOUT Y AXIS ARSYM,2,1,2 ! REFLECT AREAS AND MESH ABOUT X AXIS NUMMRG,ALL ! MERGE ALL ENTITIES D,ALL,UX,0,,,,UY,ROTZ ! FIX ALL IN-PLANE DISP. AND ROTATIONS CSYS,1 ! SPECIFY CYLINDRICAL COORDINATE SYSTEM NSEL,S,LOC,X,6 ! SELECT NODES AT OUTER RADIUS NROTAT,ALL ! ROTATE NODES INTO CYLINDRICAL C.S. D,ALL,UZ,0,,,,ROTX ! FIX UZ AND ROTX IN CSYS,1 NSEL,ALL NARAY(ARG5,2)=ARG2 ! STORE N1 NARAY(ARG5,3)=ARG3 ! STORE N2 *GET,MAXN,NODE,,NUM,MAX ! GET MAX NODE NUMBER NARAY(ARG5,4)=MAXN*6 ! CALCULATE NO. DEGREES OF FREEDOM !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !! SETUP AND PLOT ELEMENTS FOR DOCUMENTATION !! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! /VIEW,1,,,1 /ANG,1 /AUTO,1 /DEVICE,VECTOR,1 /DEVICE,DITHER,1 /TYPE,ALL,4 /COLOR,NUM,BLUE,1 *IF,ARG1,EQ,181,THEN *IF,ARG2,EQ,3,THEN *IF,ARG3,EQ,16,THEN *IF,ARG4,EQ,0,THEN /TITLE,VMC4 - QUADRILATERAL MESH (N1 = 3, N2 = 16) EPLOT *ENDIF *ENDIF *ENDIF *ENDIF *IF,ARG1,EQ,181,THEN *IF,ARG2,EQ,5,THEN *IF,ARG3,EQ,32,THEN *IF,ARG4,EQ,0,THEN /TITLE,VMC4 - QUADRILATERAL MESH (N1 = 5, N2 = 32) EPLOT *ENDIF *ENDIF *ENDIF *ENDIF *IF,ARG1,EQ,181,THEN *IF,ARG2,EQ,3,THEN *IF,ARG3,EQ,16,THEN *IF,ARG4,EQ,1,THEN /TITLE,VMC4 - TRIANGLE MESH (N1 = 3, N2 = 16) EPLOT *ENDIF *ENDIF *ENDIF *ENDIF *IF,ARG1,EQ,181,THEN *IF,ARG2,EQ,5,THEN *IF,ARG3,EQ,32,THEN *IF,ARG4,EQ,1,THEN


1821

Benchmark Input Listings /TITLE,VMC4 - TRIANGLE MESH (N1 = 5, N2 = 32) EPLOT *ENDIF *ENDIF *ENDIF *ENDIF /TITLE, VMC4, SIMPLY-SUPPORTED THIN ANNULAR PLATE FINISH /SOLU SOLVE FINISH /POST1 /DEVICE,VECTOR,1 /DEVICE,DITHER,1 /TYPE,ALL,4 /COLOR,NUM,BLUE,1 *GET,MOD1,MODE,1,FREQ NARAY(ARG5,5)=MOD1/1.870 /VIEW,1,0.9,0,0.369 /ANG,1,270 *IF,I,EQ,1,THEN SET,1,1 /TITLE,VMC 4 - MODE 1 PLDISP,0 *ENDIF *GET,MOD2,MODE,2,FREQ NARAY(ARG5,6)=MOD2/5.137 *IF,I,EQ,2,THEN SET,1,2 /TITLE,VMC4 - MODE 2 PLDISP,0 *ENDIF *GET,MOD3,MODE,3,FREQ NARAY(ARG5,7)=MOD3/5.137 *IF,I,EQ,3,THEN SET,1,3 /TITLE,VMC4 - MODE 3 PLDISP,0 *ENDIF *GET,MOD4,MODE,4,FREQ NARAY(ARG5,8)=MOD4/9.673 *IF,I,EQ,4,THEN SET,1,4 /TITLE,VMC4 - MODE 4 PLDISP,0 *ENDIF *GET,MOD5,MODE,5,FREQ NARAY(ARG5,9)=MOD5/9.673 *IF,I,EQ,5,THEN SET,1,5 /TITLE,VMC4 - MODE 5 PLDISP,0 *ENDIF *GET,MOD6,MODE,6,FREQ NARAY(ARG5,10)=MOD6/14.850 *IF,I,EQ,6,THEN SET,1,6 /TITLE,VMC4 - MODE 6 PLDISP,0 *ENDIF *GET,MOD7,MODE,7,FREQ NARAY(ARG5,11)=MOD7/15.573 *IF,I,EQ,7,THEN SET,1,7 /TITLE,VMC4 - MODE 7 PLDISP,0 *ENDIF *GET,MOD8,MODE,8,FREQ NARAY(ARG5,12)=MOD8/15.573 *IF,I,EQ,8,THEN

1822

! GET MODE 1 FREQUENCY ! CALCULATE NORMALIZED FREQUENCY









Benchmark C5 Input Listing SET,1,8 /TITLE,VMC4 - MODE 8 PLDISP,0 *ENDIF *GET,MOD9,MODE,9,FREQ ! GET MODE 9 FREQUENCY NARAY(ARG5,13)=MOD9/18.382 ! CALCULATE NORMALIZED FREQUENCY *IF,I,EQ,9,THEN SET,1,9 /TITLE,VMC4 - MODE 9 PLDISP *ENDIF /TITLE, VMC4, SIMPLY-SUPPORTED THIN ANNULAR PLATE PARSAV,,PARAM FINISH *END /COM, COMMENT: CALL MACRO TO LOOP THROUGH DIFFERENT ELEMENT TYPES, MESHES *DO,I,1,6 *IF,I,EQ,1,THEN *USE,base,181,3,16,0,I, ! QUAD MESH *ELSEIF,I,EQ,2,THEN *USE,base,181,5,32,0,I, ! QUAD MESH *ELSEIF,I,EQ,3,THEN *USE,base,281,3,16,0,I, ! QUAD MESH *ELSEIF,I,EQ,4,THEN *USE,base,281,5,32,0,I, ! QUAD MESH *ELSEIF,I,EQ,5,THEN *USE,base,281,3,16,1,I ! TRI MESH *ELSEIF,I,EQ,6,THEN *USE,base,281,5,32,1,I ! TRI MESH *ENDIF *ENDDO /OUT, /OUT,vmc4,vrt /COM /COM,------------------- VMC4 RESULTS LISTING -----------------------------------/COM, /COM,| ETYP | N1 | N2 | DOF | RAT1 | RAT2 | RAT3 | /COM, *VWRITE,naray(1,1),naray(1,2),naray(1,3),NARAY(1,4),NARAY(1,5),NARAY(1,6),NARAY(1,7) (F5.0,' ',F5.0,' ',F6.0,' ',F5.0,' ',F6.3,' ',F6.3,' ',F7.3) /COM,----------------------------------------------------------------------------/COM, /COM,------------------- VMC4 RESULTS CONT... -----------------------------------/COM, /COM,| RAT4 | RAT5 | RAT6 | RAT7 | RAT8 | RAT9 | /COM, *VWRITE,NARAY(1,8),NARAY(1,9),NARAY(1,10),naray(1,11),naray(1,12),naray(1,13) (F7.3,' ',F7.3,' ',F7.3,' ',F7.3,' ',F7.3,' ',F7.3) /COM,----------------------------------------------------------------------------/OUT *LIST,vmc4,vrt FINISH

Benchmark C5 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMC5 /SHOW /DEVICE,VECTOR,ON *DIM,NARAY,TABLE,2,10 ! 2-D NARAY FOR RESULTS INFO *DO,I,1,2 *DO,J,1,10 NARAY(I,J)=0. ! INITIALIZE NARAY *ENDDO *ENDDO *CREATE,base,


1823

Benchmark Input Listings PARSAV,ALL /clear, nostart PARRES,CHANGE /PREP7 smrt,off /TITLE, VMC5, SIMPLY-SUPPORTED SOLID SQUARE PLATE /COM, SEE NAFEMS "THE STANDARD NAFEMS BENCHMARKS", /COM, REV. NO. TSNB, NATIONAL ENGNG. LABORATORY, UK /COM, AUG. 1989, TEST NO. FV52 /COM, /OUT,SCRATCH ANTYPE,MODAL ! MODE-FREQUENCY ANALYSIS ET,1,ARG1 ! ELEMENT TYPE PARAMETRICALLY *IF,ARG1,EQ,185,THEN KEYOPT,1,2,3 *ELSE KEYOPT,1,6,0 *ENDIF NARAY(ARG5,1)=ARG1 ! STORE ETYPE MODOPT,LANB,10 ! BLOCK LANCZOS EXTRACTION MXPAND,10 ! EXPAND FIRST 10 MODES MP,EX,1,200E9 ! DEFINE MATERIAL PROPERTIES MP,NUXY,1,.3 MP,DENS,1,8000 K,1 K,2,10 K,3,10,10 K,4,,10 ! DEFINE KEYPOINTS KGEN,2,1,4,1,,,1 L,1,5 *REPEAT,4,1,1 ! DEFINE LINE SEGMENTS AND DIVISIONS LESIZE,ALL,,,ARG3 V,1,2,3,4,5,6,7,8 ! DEFINE VOLUME ESIZE,,ARG2 ! SET NUMVER OF ELEMENT DIVISIONS NARAY(ARG5,2)=ARG2 ! STORE N1 NARAY(ARG5,3)=ARG3 ! STORE N2 VMESH,1 ! MESH VOLUME NSEL,S,LOC,Y,0 ! SELECT NODES FOR CONSTRAINING NSEL,A,LOC,Y,10 NSEL,A,LOC,X,0 NSEL,A,LOC,X,10 NSEL,R,LOC,Z,0 D,ALL,UZ,0 ! CONSTRAIN NODES NSEL,ALL WAVES !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !! SETUP AND PLOT ELEMENTS FOR DOCUMENTATION !! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! /VIEW,1,0.5,-0.5,0.5 /ANG,1,-63 /AUTO,1 /DEVICE,VECTOR,1 /DEVICE,DITHER,1 /TYPE,ALL,4 /COLOR,NUM,BLUE,1 *IF,I,EQ,1,THEN *IF,ARG1,EQ,185,THEN *IF,ARG2,EQ,8,THEN *IF,ARG3,EQ,3,THEN /TITLE,VMC5 - BRICK MESH (N1 = 8, N2 = 3) EPLOT *ENDIF *ENDIF *ENDIF *ENDIF *IF,I,EQ,2,THEN *IF,ARG1,EQ,187,THEN *IF,ARG2,EQ,6,THEN *IF,ARG3,EQ,1,THEN /TITLE,VMC5 - TETRAHEDRAL MESH (N1 = 6, N2 = 1) EPLOT

1824


Benchmark C5 Input Listing *ENDIF *ENDIF *ENDIF *ENDIF FINISH /SOLU SOLVE *GET,F1,MODE,1,FREQ ! GET MODE 1 FREQUENCY *GET,F2,MODE,2,FREQ ! GET MODE 2 FREQUENCY *GET,F3,MODE,3,FREQ ! GET MODE 3 FREQUENCY *GET,F4,MODE,4,FREQ ! GET MODE 4 FREQUENCY NARAY(ARG5,4)=F4/45.897 ! CALCULATE NORMALIZED FREQUENCY *GET,F5,MODE,5,FREQ ! GET MODE 5 FREQUENCY NARAY(ARG5,5)=F5/109.44 ! CALCULATE NORMALIZED FREQUENCY *GET,F6,MODE,6,FREQ ! GET MODE 6 FREQUENCY NARAY(ARG5,6)=F6/109.44 ! CALCULATE NORMALIZED FREQUENCY *GET,F7,MODE,7,FREQ ! GET MODE 7 FREQUENCY NARAY(ARG5,7)=F7/167.89 ! CALCULATE NORMALIZED FREQUENCY *GET,F8,MODE,8,FREQ ! GET MODE 8 FREQUENCY NARAY(ARG5,8)=F8/193.59 ! CALCULATE NORMALIZED FREQUENCY *GET,F9,MODE,9,FREQ ! GET MODE 9 FREQUENCY NARAY(ARG5,9)=F9/206.19 ! CALCULATE NORMALIZED FREQUENCY *GET,F10,MODE,10,FREQ ! GET MODE 10 FREQUENCY NARAY(ARG5,10)=F10/206.19 ! CALCULATE NORMALIZED FREQUENCY PARSAV,,PARAM FINISH /POST1 !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !!! SET UP POST TO PRODUCE PLDISP PLOTS !!! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! /VIEW,1,,,-1 /ANG,1 /DEVICE,VECTOR,1 /DEVICE,DITHER,1 /TYPE,ALL,4 /COLOR,NUM,BLUE,1 *IF,I,EQ,2,THEN SET,1,1 /TITLE,VMC5 - RIGID BODY - MODE 1 PLDISP,1 *ENDIF *IF,I,EQ,2,THEN SET,1,2 /TITLE,VMC5 - RIGID BODY - MODE 2 PLDISP,1 *ENDIF *IF,I,EQ,2,THEN SET,1,3 /TITLE,VMC5 - RIGID BODY - MODE 3 PLDISP,1 *ENDIF /VIEW,1,-0.677530527371,-0.68876415506,0.257985122023 /ANG,1,76.7942822618 *IF,I,EQ,2,THEN SET,1,4 /TITLE,VMC5 - OUT OF PLANE - MODE 4 PLDISP,0 *ENDIF *IF,I,EQ,2,THEN SET,1,5 /TITLE,VMC5 - OUT OF PLANE - MODE 5 PLDISP,0 *ENDIF *IF,I,EQ,2,THEN SET,1,6 /TITLE,VMC5 - OUT OF PLANE - MODE 6 PLDISP,0 *ENDIF *IF,I,EQ,2,THEN SET,1,7


1825

Benchmark Input Listings /TITLE,VMC5 - OUT OF PLANE - MODE 7 PLDISP,0 *ENDIF /VIEW,1,,,-1 /ANG,1 *IF,I,EQ,2,THEN SET,1,8 /TITLE,VMC5 - IN PLANE - MODE 8 PLDISP,0 *ENDIF *IF,I,EQ,2,THEN SET,1,9 /TITLE,VMC5 - IN PLANE - MODE 9 PLDISP,0 *ENDIF *IF,I,EQ,2,THEN SET,1,10 /TITLE,VMC5 - IN PLANE - MODE 10 PLDISP,0 *ENDIF /TITLE, VMC5, SIMPLY-SUPPORTED SOLID SQUARE PLATE FINISH *END /COM, COMMENT: CALL MACRO TO LOOP THROUGH DIFFERENT ELEMENT TYPES *DO,I,1,2 *IF,I,EQ,1,THEN *USE,base,185,8,3,,I, *ELSEIF,I,EQ,2,THEN *USE,base,187,6,1,,I, *ENDIF *ENDDO /OUT, !*STAT,NARAY /OUT,vmc5,vrt /COM, /COM,---------------------- VMC5 RESULTS LISTING -----------------------/COM, /COM,| ETYP | N1 | N2 | RAT4 | RAT5 | /COM, *VWRITE,NARAY(1,1),NARAY(1,2),NARAY(1,3),NARAY(1,4),NARAY(1,5) (F5.0,' ',F5.0,' ',F5.0,' ',F5.3,' ',F5.3) /COM, /COM,-------------------------------------------------------------------/COM, /COM,---------------------- VMC5 RESULTS CONT.... ----------------------/COM, /COM,| RAT6 | RAT7 | RAT8 | RAT9 | RAT10 /COM, *VWRITE,NARAY(1,6),NARAY(1,7),NARAY(1,8),NARAY(1,9),NARAY(1,10) (' ',F5.3,' ',F5.3,' ',F5.3,' ',F5.3,' ',F5.3,' ') /COM, /COM,-------------------------------------------------------------------/OUT FINISH /delete,PARAM /delete,base *LIST,vmc5,vrt finish

Benchmark C6 Input Listing /COM,ANSYS MEDIA REL. 140 (11/26/2011) REF. VERIF. MANUAL: REL. 140 /VERIFY,VMC6 /SHOW /OUT,SCRATCH *DIM,NARAY,TABLE,16,6 ! 2-D NARAY FOR RESULTS INFO *DO,I,1,16 *DO,J,1,6

1826


Benchmark C6 Input Listing NARAY(I,J)=0. ! INITIALIZE NARAY *ENDDO *ENDDO *CREATE,base, PARSAV,ALL /clear, nostart PARRES,CHANGE /PREP7 smrt,off /TITLE, VMC6, TWO-DIMENSIONAL HEAT TRANSFER WITH CONVECTION /COM, SEE "SELECTED FE BENCHMARKS IN STRUCTURAL AND THERMAL /COM, ANALYSIS", NAFEMS REPT. FEBSTA REV. 1, OCT. 1986 /COM, TEST NO. T4 ANTYPE,STATIC ! THERMAL ANALYSIS ET,1,ARG1 ! DEFINE ELEMENT TYPE PARAMETRICALLY NARAY(ARG4,1)=ARG1 ! STORE ETYPE MP,KXX,1,52.0 ! DEFINE CONDUCTIVITY *IF,I,LE,10,THEN K,1 ! DEFINE KEYPOINTS K,2,.6 K,3,.6,1.0 K,4,,1.0 A,1,2,3,4 ESIZE,ARG2 ! DEFINE ELEMENT SIZE, & SHAPE PARAMETRICALLY ESHAPE,ARG3 NARAY(ARG4,2)=ARG2 ! STORE N1 (ELEMENT EDGE LENGTH) NARAY(ARG4,3)=ARG3 ! STORE N2 (ELEMENT SHAPE) AMESH,1 ! MESH AREA *ELSE G1=(.6/ARG2)+1 ! DEFINE PARAMETERS FOR MESH GENERATION G2=(1/ARG2)+1 G3=(G2-1) N,1 NGEN,G1,1,ALL,,,ARG2 NGEN,G2,G1,ALL,,,,ARG2 *IF,ARG1,EQ,77,THEN E,1,2,(G1+2),(G1+2) EGEN,(G1-1),1,ALL E,1,(G1+2),(G1+1),(G1+1) EGEN,(G1-1),1,G1 EGEN,G3,G1,ALL NARAY(ARG4,2)=ARG2 ! STORE N1 (ELEMENT EDGE LENGTH) NARAY(ARG4,3)=ARG3 ! STORE N2 (ELEMENT SHAPE) *ELSE E,1,2,(G1+2) EGEN,(G1-1),1,ALL E,1,(G1+2),(G1+1) EGEN,(G1-1),1,G1 EGEN,G3,G1,ALL NARAY(ARG4,2)=ARG2 ! STORE N1 (ELEMENT EDGE LENGTH) NARAY(ARG4,3)=ARG3 ! STORE N2 (ELEMENT SHAPE) *ENDIF *IF,ARG1,NE,55,THEN EMID NARAY(ARG4,2)=ARG2 ! STORE N1 (ELEMENT EDGE LENGTH) NARAY(ARG4,3)=ARG3 ! STORE N2 (ELEMENT S) *ENDIF *ENDIF *GET,MAXE,ELEM,,NUM,MAX *GET,MAXN,NODE,,NUM,MAX NARAY(ARG4,4)=MAXN*1 ! CALCULATE NO. DEGREES OF FREEDOM T1=NODE(.6,.2,0) ! GET NODE NUMBER OF INTEREST NSEL,S,LOC,Y,0 D,ALL,TEMP,100. ! SPECIFY EDGE TEMPERATURE NSEL,S,LOC,X,0.6 SF,ALL,CONV,750.0,0.0 ! SPECIFY CONVECTION SURFACES NSEL,A,LOC,Y,1.0 SF,ALL,CONV,750.0,0.0 NSEL,ALL !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !! SETUP AND PLOT ELEMENTS FOR DOCUMENTATION !!


1827

Benchmark Input Listings !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! /AUTO,1 /VIEW,1,,,1 /ANG,1 /DEVICE,VECTOR,1 /DEVICE,DITHER,1 /TYPE,ALL,4 /COLOR,NUM,BLUE,1 *IF,ARG1,EQ,77,THEN *IF,ARG2,EQ,0.2,THEN *IF,ARG3,EQ,2,THEN /TITLE,VMC6 - QUADRILATERAL MESH (N1 = 0.2) EPLOT *ENDIF *ENDIF *IF,ARG2,EQ,0.1,THEN *IF,ARG3,EQ,2,THEN /TITLE,VMC6 - QUADRILATERAL MESH (N1 = 0.1) EPLOT *ENDIF *ENDIF *IF,ARG2,EQ,0.2,THEN *IF,ARG3,EQ,1,THEN *IF,I,EQ,15,THEN /TITLE,VMC6 - UNIFORM TRIANGLE MESH (N1 = 0.2) EPLOT *ENDIF *ENDIF *ENDIF *IF,ARG2,EQ,0.1,THEN *IF,ARG3,EQ,1,THEN *IF,I,EQ,16,THEN /TITLE,VMC6 - UNIFORM TRIANGLE MESH (N1 = 0.1) EPLOT *ENDIF *ENDIF *ENDIF *IF,ARG2,EQ,0.2,THEN *IF,ARG3,EQ,1,THEN *IF,I,EQ,9,THEN /TITLE,VMC6 - TRIANGLE MESH (N1 = 0.2) EPLOT *ENDIF *ENDIF *ENDIF *IF,ARG2,EQ,0.1,THEN *IF,ARG3,EQ,1,THEN *IF,I,EQ,10,THEN /TITLE,VMC6 - TRIANGLE MESH (N1 = 0.1) EPLOT *ENDIF *ENDIF *ENDIF *ENDIF

FINISH /SOLU SOLVE *GET,NTEM,TEMP,T1 ! GET TEMERATURE AT NODE OF INTEREST NARAY(ARG4,5)=NTEM ! STORE TEMPERATURE NARAY(ARG4,6)=NTEM/18.3 ! CALCULATE TEMPERATURE RATIO PARSAV,,PARAM FINISH *END /COM, COMMENT: CALL MACRO TO LOOP THROUGH DIFFERENT ELEMENT TYPES, MESHES *DO,I,1,16 *IF,I,EQ,1,THEN *USE,base,55,.2,2,I ! QUAD MESH *ELSEIF,I,EQ,2,THEN *USE,base,55,.1,2,I ! QUAD MESH *ELSEIF,I,EQ,3,THEN

1828


Benchmark C6 Input Listing *USE,base,77,.2,2,I ! QUAD MESH *ELSEIF,I,EQ,4,THEN *USE,base,77,.1,2,I ! QUAD MESH *ELSEIF,I,EQ,5,THEN *USE,base,35,.2,1,I ! TRIANGLE MESH *ELSEIF,I,EQ,6,THEN *USE,base,35,.1,1,I ! TRIANGLE MESH *ELSEIF,I,EQ,7,THEN *USE,base,55,.2,1,I ! TRIANGLE MESH *ELSEIF,I,EQ,8,THEN *USE,base,55,.1,1,I ! TRIANGLE MESH *ELSEIF,I,EQ,9,THEN *USE,base,77,.2,1,I ! TRIANGLE MESH *ELSEIF,I,EQ,10,THEN *USE,base,77,.1,1,I ! TRIANGLE MESH *ELSEIF,I,EQ,11,THEN *USE,base,35,.2,1,I ! TRIANGLE MESH *ELSEIF,I,EQ,12,THEN *USE,base,35,.1,1,I ! TRIANGLE MESH *ELSEIF,I,EQ,13,THEN *USE,base,55,.2,1,I ! TRIANGLE MESH *ELSEIF,I,EQ,14,THEN *USE,base,55,.1,1,I ! TRIANGLE MESH *ELSEIF,I,EQ,15,THEN *USE,base,77,.2,1,I ! TRIANGLE MESH *ELSEIF,I,EQ,16,THEN *USE,base,77,.1,1,I ! TRIANGLE MESH *ENDIF *ENDDO /OUT, !*STAT,NARAY ! GET STATUS OF NARAY *VLEN,4 *VCOL,6 /OUT,vmc6,vrt /COM, /COM,------------------- VMC6 RESULTS LISTING --------------------/COM /COM, QUAD MESH /COM, /COM,| ETYP | N1 | DOF | TEMP(C) | TEMP RATIO | /COM, *VWRITE,NARAY(1,1),NARAY(1,2),NARAY(1,4),NARAY(1,5),NARAY(1,6) (F5.0,' ',F5.2,' ',F5.0,' ',F5.1,' ',F5.2) /COM, /OUT *VLEN,6 /OUT,vmc6,vrt,,append /COM, TRIANGLE MESH /COM, /COM,| ETYP | N1 | DOF | TEMP(C) | TEMP RATIO | /COM, *VWRITE,NARAY(5,1),NARAY(5,2),NARAY(5,4),NARAY(5,5),NARAY(5,6) (F5.0,' ',F5.2,' ',F5.0,' ',F5.1,' ',F5.2) /COM, /COM, UNIFORM TRIANGLE MESH /COM, /COM,| ETYP | N1 | DOF | TEMP(C) | TEMP RATIO | /COM, *VWRITE,NARAY(11,1),NARAY(11,2),NARAY(11,4),NARAY(11,5),NARAY(11,6) (F5.0,' ',F5.2,' ',F5.0,' ',F5.1,' ',F5.2) /COM, /COM,--------------------------------------------------------------/OUT FINISH *LIST,vmc6,vrt /DELETE,PARAM /DELETE,base FINISH


1829

Benchmark Input Listings

Benchmark C7 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMC7 /SHOW /OUT,SCRATCH *DIM,NARAY,TABLE,9,6 ! 2-D NARAY FOR RESULTS INFO *DO,I,1,9 *DO,J,1,6 NARAY(I,J)=0. ! INITIALIZE NARAY *ENDDO *ENDDO *CREATE,base, PARSAV,ALL /clear, nostart PARRES,CHANGE /PREP7 smrt,off /TITLE, VMC7, ONE-DIMENSIONAL TRANSIENT HEAT TRANSFER WITH CONVECTION /COM, SEE HOLMAN: "HEAT TRANSFER", MCGRAW HILL CO., 4TH EDITION, /COM, PG. 106, 1976. /COM, ANTYPE,TRANS ET,1,ARG1 ! DEFINE ELEMENT TYPE PARAMETRICALLY NARAY(ARG4,1)=ARG1 ! STORE ETYPE MP,KXX,1,54 ! DEFINE MATERIAL PROPERTIES MP,DENS,1,7833 MP,C,1,.465 K,1 K,2,(1/(ARG2*2)) ! DEFINE KEYPOINTS K,3,(1/(ARG2*2)),1 K,4,,1 L,1,2 L,4,3 ! DEFINE LINE SEGMENTS LESIZE,ALL,,,1 A,1,2,3,4 ! DEFINE AREAS ESIZE,,ARG2 ! SET ELEMENT DIVISIONS PARAMETRICALLY NARAY(ARG4,2)=ARG2 ! STORE ELEMENT DIVISIONS AMESH,1 ! MESH AREA NSEL,S,LOC,Y,1 NSEL,R,LOC,X,0 *GET,N1,NODE,,NUM,MAX ! GET NODE NUMBER ON TOP SURFACE NSEL,ALL TUNIF,0 ! DEFINE INITIAL TEMPERATURE NSEL,S,LOC,Y,1 SF,ALL,CONV,50,1000 ! APPLY CONVECTION H=50 TBULK=1000 NSEL,ALL KBC,1 ! STEP BOUNDARY CONDITION TIME,2.0 ! END TIME= 2 SEC. DELTIM,ARG3 NARAY(ARG4,3)=ARG3 ! STORE DELTA T MIN !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! !! SETUP AND PLOT ELEMENTS FOR DOCUMENTATION !! !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! /AUTO,1 /VIEW,1,,,1 /ANG,1 /DEVICE,VECTOR,1 /DEVICE,DITHER,1 /TYPE,ALL,4 /COLOR,NUM,BLUE,1 *IF,ARG1,EQ,77,THEN *IF,ARG2,EQ,6,THEN /TITLE,VMC7 - QUADRILATERAL MESH (N = 6) EPLOT *ENDIF *IF,ARG2,EQ,8,THEN

1830


Benchmark C7 Input Listing /TITLE,VMC7 - QUADRILATERAL MESH (N = 8) EPLOT *ENDIF *IF,ARG2,EQ,16,THEN /TITLE,VMC7 - QUADRILATERAL MESH (N = 16) EPLOT *ENDIF *ENDIF *IF,ARG1,EQ,35,THEN *IF,ARG2,EQ,6,THEN /TITLE,VMC7 - TRIANGLE MESH (N = 6) EPLOT *ENDIF *IF,ARG2,EQ,8,THEN /TITLE,VMC7 - TRIANGLE MESH (N = 8) EPLOT *ENDIF *IF,ARG2,EQ,16,THEN /TITLE,VMC7 - TRIANGLE MESH (N = 16) EPLOT *ENDIF *ENDIF /TITLE, VMC7, ONE-DIMENSIONAL TRANSIENT HEAT TRANSFER WITH CONVECTION FINISH /SOLU AUTOTS,ON ! INVOKE AUTO TIME STEPPING SOLVE *GET,CIT,ACTIVE,,SOLU,NCMIT ! GET CUMULATIVE ITERATIONS NARAY(ARG4,4)=CIT ! STORE CUMULATIVE ITERATIONS FINISH /POST1 *GET,TN1,NODE,N1,TEMP ! GET SURFACE NODE TEMPERATURE NARAY(ARG4,5)=TN1 ! STORE TEMPERATURE NARAY(ARG4,6)=TN1/157.25 ! NORMALIZE TEMPERATURE TO TARGET VALUE PARSAV,,PARAM FINISH *END /COM, COMMENT: CALL MACRO TO LOOP THROUGH DIFFERENT ELEMENT TYPES *DO,I,1,9 *IF,I,EQ,1,THEN *USE,base,55,6,.5,I *ELSEIF,I,EQ,2,THEN *USE,base,55,8,.25,I *ELSEIF,I,EQ,3,THEN *USE,base,55,16,.0667,I *ELSEIF,I,EQ,4,THEN *USE,base,77,6,.5,I *ELSEIF,I,EQ,5,THEN *USE,base,77,8,.25,I *ELSEIF,I,EQ,6,THEN *USE,base,77,16,.0667,I *ELSEIF,I,EQ,7,THEN *USE,base,35,6,.5,I *ELSEIF,I,EQ,8,THEN *USE,base,35,8,.25,I *ELSEIF,I,EQ,9,THEN *USE,base,35,16,.0667,I *ENDIF *ENDDO /OUT, !*STAT,NARAY /OUT,vmc7,vrt /COM /COM,------------------- VMC7 RESULTS LISTING -----------------------------------/COM, /COM, TARGET SOLUTION: T = 157.25 /COM, /COM,| ETYP | N | DELTA-T | CUM ITR | SURF-TEMP | TEMP RAT | /COM, *VWRITE,naray(1,1),naray(1,2),naray(1,3),NARAY(1,4),NARAY(1,5),NARAY(1,6)


1831

Benchmark Input Listings (F5.0,' ',F5.0,' ',F5.4,' ',F5.0,' ',F7.3,' ',F5.3) /COM,----------------------------------------------------------------------------/OUT FINISH *LIST,vmc7,vrt /DELETE,PARAM /DELETE,base FINISH

Benchmark C8 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMC8 /config,nlco,0 /SHOW /DEVICE,VECTOR,ON OKEY=1 /TITLE, VMC8, ALUMINUM BAR IMPACTING A RIGID BOUNDARY /COM /COM Ref: Wilkins M.L and Guinan M.W., "Impact of Cylinders on a Rigid /COM Boundary", J. Appl. Phys., Vol. 44, No. 3, 1973. /COM /UNITS,SI ! (KG, Ne, M , SEC) *dim,LFA,,2,6 *do,i,1,6 *if,i,eq,1,then atype=2 etyp=2 /title, VMC8, ALUMINUM *elseif,i,eq,2,then atype=2 etyp=42 /title, VMC8, ALUMINUM *elseif,i,eq,3,then atype=2 etyp=82 /title, VMC8, ALUMINUM *elseif,i,eq,4,then atype=2 etyp=106 /title, VMC8, ALUMINUM *elseif,i,eq,5,then atype=2 etyp=182 /title, VMC8, ALUMINUM *elseif,i,eq,6,then atype=2 etyp=183 /title, VMC8, ALUMINUM *endif

BAR IMPACTING A RIGID BOUNDARY - PLANE2



BAR IMPACTING A RIGID BOUNDARY - VISCO106



/PREP7 RAD = 0.00381 ! BAR RADIUS [m] L = 0.02347 ! BAR LENGTH DI = 0.0001 ! INTERFACE BETWEEN THE BAR AND THE WALL VEL = 478 ! INITIAL VELOCITY [M/SEC] CVEL= (70E9/2700)**0.5 ! ELASTIC WAVE PROPAGATION SPEED TEL=(RAD/4)/CVEL ! TIME STEP INCREMENT (4 ELEMENTS ALONG RADIUS) NLS=NINT(1.1*(4.5E-5/TEL)) ! MINIMUM NUMBER OF SUBSTEPS FOT TIME=4.5E-5 ET,1,ETYP ! ELEMENT TYPE *IF,ATYPE,EQ,2,THEN KEYOPT,1,3,1 ! AXISYMMETIRC OPTION *ENDIF *IF,ETYP,EQ,42,THEN KEYOPT,1,1,1 ! REDUCED INTEGRATION FOR 42

1832


Benchmark C8 Input Listing *ENDIF *IF,ETYP,EQ,182,THEN KEYOPT,1,1,1 ! REDUCED INTEGRATION FOR 182 *ENDIF MP,EX,1,70E9 ! ELASTIC MODULUS [Pa] MP,NUXY,1,0.3 MP,DENS,1,2700 ! DENSITY (KG/M^3) TB,BISO,1 ! BILINEAR ISOTROPIC HARDENING TBDAT,1,420E6,100E6 ! YEILD STRESS [Pa], TANGENT MODULUS [Pa] K,1,0,DI ! SOLID MODEL K,2,RAD,DI K,3,RAD,(DI+L) K,4,0,(DI+L) L,1,2 L,3,4 LESIZE,ALL,,,4 L,1,4 L,2,3 LESIZE,ALL,,,12,3 A,1,2,3,4 AMESH,1 EPLOT NSEL,S,LOC,X,0 D,ALL,UX NSEL,S,LOC,X,0 NSEL,R,LOC,Y,L+DI *GET,NTOP,NODE,,NUM,MIN NSEL,ALL NBOT=NODE(0,0,0) NSEL,S,,,NBOT ESLN,S *GET,EBOT,ELEM,,NUM,MIN NSEL,ALL ESEL,ALL SAVE FINISH /OUT,SCRATCH /SOLU ANTYPE,TRANS NLGEOM,ON NROPT,FULL AUTOTS,ON TIMINT,OFF T1=DI/VEL TIME,T1 DELTIM,T1 NSEL,S,LOC,Y,DI D,ALL,UY,-DI NSEL,ALL D,ALL,UZ NCNV,2 CNVTOL,U,1,0.001 OUTPR,ALL,NONE OUTRES,ALL,10 SOLVE TIMINT,ON NEQIT,40 CNVTOL,U CNVTOL,F,0.01,0.001 NSUBSTEP,NLS,10*NLS,NLS TIME,(T1+4.5E-5) SOLVE SAVE FINISH /POST1 SET,LAST /DSCAL,1,1 PLDISP *GET,DYTP,UY,NTOP LF=(L+DI)+DYTP

! STATIC LOAD STEP - DEFINE INITIAL VELOCITY ! TIME INCREMENT

! LOAD STEP 1 - STATIC

! LOAD STEP 1 - DYNAMIC

! PLOT DEFORMED SHAPE ! NODAL DISPLACEMENT OF TOP NODE ! DEFORMED LENGTH


1833

Benchmark Input Listings LFA(1,i)=LF LFA(2,i)=LF/(L*0.562) /OUT, *STATUS,LF FINISH /OUT,SCRATCH /POST26 /GRID,1 XVAR,1 NSOL,2,NTOP,U,Y ! DISPLACEMENT OF FREE END NODE ESOL,3,EBOT,NBOT,EPPL,EQV ! EQUIVALENT PLASTIC STRAIN ADD,2,2,,,DISP,,,-1 /AXLAB,X,TIME [SEC] /AXLAB,Y,FREE END DISPLACEMENT [M] PLVAR,2 ! PLOT DISPLACEMENT VS. TIME /AXLAB,Y,EPPL-EQV AT NODE 1 PLVAR,3 ! PLOT PLASTIC STRAIN FINISH PARSAV,ALL /clear, nostart PARRES *ENDDO FINISH *VLEN,1 /OUT,vmc8,vrt /COM /COM,------------------- VMC8 RESULTS LISTING -----------------------------------/COM, /COM, /COM,ETYP | 2 | 42 | 82 | 106 | 182 | 183 | /COM, *VWRITE,LFA(1,1),LFA(1,2),LFA(1,3),LFA(1,4),LFA(1,5),LFA(1,6) (' L (m) ',F5.3,' ',F5.3,' ',F5.3,' ',F5.3,' ',F5.3,' ',F5.3) *VWRITE,LFA(2,1),LFA(2,2),LFA(2,3),LFA(2,4),LFA(2,5),LFA(2,6) (' RATIO ',F5.3,' ',F5.3,' ',F5.3,' ',F5.3,' ',F5.3,' ',F5.3) /COM,----------------------------------------------------------------------------/OUT *LIST,vmc8,vrt FINISH

Benchmark D1 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMD1 /DEVICE,VECTOR,ON ! ---------------------------------------------------------------------! PARAMETER KEY: ! ! ATYP - ANALYSIS TYPE (2=2D, 3=3D) ! ETYP - ELEMENT TYPE NUMBER ! QUAD - '1' IF QUADRILATERAL ELEMENT ! TRI - '1' IF TRIANGULAR HIGHER ORDER ELEMENT ! BRICK - '1' IF BRICK ELEMENT ! TET - '1' IF HIGHER ORDER TET ELEMENT ! LOW - '1' IF LOWER ORDER QUAD OR BRICK ELEMENT ! HIGH - '1' IF HIGHER ORDER QUAD OR BRICK ELEMENT ! ! NOTE: FOR QUAD, TRI, BRICK, & TET KEYS: ONLY ONE MAY BE SET TO ! '1' (ACTIVE). LOW & HIGH ARE APPLICABLE ONLY TFOR EITHER ! QUAD OR BRICK ELEMENT TYPES. SET LOW OR HIGH TO ZERO FOR ! TRI OR TET ELEMENTS. ! ---------------------------------------------------------------------/TITLE, VMD1, STRAIGHT BEAM UNDER VARIOUS LOADS /COM

1834


Benchmark D1 Input Listing /COM MACNEAL, R.H., AND HARDER R.L., "A PROPOSED STANDARD SET OF /COM PROBLEMS TO TEST FINITE ELEMENT ACCURACY /COM /NOPR /OUT,SCRATCH *CREATE,MAC1 ARG1=(ARG1*3.141592654)/180. ! ARG1=DISTORTION ANGLE (DEG.) DELX=(0.1*TAN(ARG1)) NMODIF,ARG2,(1+DELX) *REPEAT,3,4,2 NMODIF,ARG3,(2-DELX) *REPEAT,2,4,2 NMODIF,ARG4,(1-DELX) *REPEAT,3,4,2 NMODIF,ARG5,(2+DELX) *REPEAT,2,4,2 *END *CREATE,MAC2 ARG1=(ARG1*3.141592654)/180. DELX=(0.1*TAN(ARG1)) NMODIF,ARG2,(1-DELX) *REPEAT,5,2,1 NMODIF,ARG3,(1+DELX) *REPEAT,5,2,1 *END *CREATE,MAC3 ! MACRO - EXTRACT DISP *DO,I,1,7 *GET,X1,NODE,13+(I-1)*200,U,ARG1 *GET,X2,NODE,53+(I-1)*200,U,ARG1 DR(ARG2,I)=(ABS(X1)+ABS(X2))/2 *ENDDO *END *CREATE,MAC4 ! MACRO - EXTRACT ERROR SET,ARG1 *DO,J,1,7 ESEL,S,,,EINC*(J-1)+1,EINC*(J-1)+EINC PRERR *GET,ER(ARG1,J),PRERR,,SEPC *ENDDO *END *DO,L,1,6 *IF,L,EQ,1,THEN ETYP=183 ATYP=2 QUAD=0 TRI=1 BRICK=0 TET=0 LOW=0 HIGH=0 ELAB='PLANE183 tri' *ELSEIF,L,EQ,2,THEN ETYP=182 ATYP=2 QUAD=1 TRI=0 BRICK=0 TET=0 LOW=1 HIGH=0 ELAB='PLANE182' *ELSEIF,L,EQ,3,THEN ETYP=183 ATYP=2 QUAD=1 TRI=0 BRICK=0 TET=0 LOW=0 HIGH=1 ELAB='PLANE183' *ELSEIF,L,EQ,4,THEN


1835

Benchmark Input Listings ETYP=185 ATYP=3 QUAD=0 TRI=0 BRICK=1 TET=0 LOW=1 HIGH=0 ELAB='SOLID185' *ELSEIF,L,EQ,5,THEN ETYP=187 ATYP=3 QUAD=0 TRI=0 BRICK=0 TET=1 LOW=0 HIGH=0 ELAB='SOLID187' *ELSEIF,L,EQ,6,THEN ETYP=186 ATYP=3 QUAD=0 TRI=0 BRICK=1 TET=0 LOW=0 HIGH=1 ELAB='SOLID186' *ENDIF *DIM,DR,,4,7 *DIM,ER,,4,7 *DIM,LAB,CHAR,4 LAB(1)='EXTEND' LAB(2)='IP SHEAR' LAB(3)='OP SHEAR' LAB(4)='TWIST'

! ARRAY - DISPLACEMENT RATIO ! ARRAY - ENERY NORM ERROR

*IF,TRI,EQ,1,THEN EINC=12 *ELSEIF,TET,EQ,1,THEN EINC=30 *ELSE EINC=6 *ENDIF /PREP7

! DEFINE ELEMENTS PER MODEL

*IF,BRICK,EQ,1,AND,LOW,EQ,1,THEN ET,1,ETYP,,3 !SIMPLIFIED ENHANCED STRAIN FORMULATION *ELSEIF,BRICK,EQ,1,AND,HIGH,EQ,1,THEN ET,1,ETYP,,1 !FULL INTEGRATION *ELSEIF,QUAD,EQ,1,AND,LOW,EQ,1,THEN ET,1,ETYP,3,,3 !SIMPLIFIED ENHANCED STRAIN FORMULATION *ELSEIF,TET,EQ,1,THEN ET,1,ETYP *ELSEIF,TRI,EQ,1,THEN ET,1,ETYP,1,,3 *ELSE, ET,1,ETYP,,,3 *ENDIF R,1,0.1 MP,EX,1,1E7 MP,NUXY,1,0.3 N,1 N,13,6,0 FILL,1,13,5,3,2 NGEN,3,20,1,13,2,0,0.1,0 ! DEFINE CORNER NODES NGEN,4,200,1,53,2,0,0,0 ! DEFINE NODES FOR TRAPIZOIDAL ELEMENTS *USE,MAC1,15,203,205,243,245 ! MODIFY NODE LOCATIONS *USE,MAC1,30,403,405,443,445 *USE,MAC1,45,603,605,643,645 NGEN,2,800,1,53,2,0,0,0 ! DEFINE NODES PARALLELOGRAM ELEMENTS

1836


Benchmark D1 Input Listing NGEN,3,200,801,853,2 *USE,MAC2,15,803,843 ! MODIFY NODE LOCATIONS *USE,MAC2,30,1003,1043 *USE,MAC2,45,1203,1243 *IF,QUAD,EQ,1,THEN ! QUAD ELEMENT GENERATION E,1,3,43,41 EGEN,6,2,-1 EGEN,4,200,-6 EGEN,4,200,-6 *IF,HIGH,EQ,1,THEN EMID *ENDIF /VIEW,1,1,2,3 EPLOT *ENDIF *IF,TRI,EQ,1,THEN ! HIGHER ORDER TRI ELEMENT GENERATION E,1,3,41 E,3,43,41 EGEN,6,2,-2 EGEN,4,200,-12 EGEN,4,200,-12 EMID /VIEW,1,1,2,3 EPLOT *ENDIF *IF,BRICK,EQ,1,THEN ! BRICK ELEMENT GENERATION NGEN,2,1300,1,1353,1,,,.1 E,1,3,43,41,1301,1303,1343,1341 EGEN,6,2,-1 EGEN,4,200,-6 EGEN,4,200,-6 *IF,HIGH,EQ,1,THEN EMID *ENDIF /VIEW,1,1,2,3 EPLOT *ENDIF *IF,TET,EQ,1,THEN ! TET ELEMENT GENERATION NGEN,2,1300,1,1353,1,,,.1 E,1,1301,1303,1341 E,1,1303,3,43 E,1303,1343,43,1341 E,1,1303,43,1341 E,1,43,1341,41 E,3,1303,5,43 E,1303,1305,5,1345 E,1303,5,43,1345 E,5,43,1345,45 E,1303,1345,43,1343 EGEN,3,4,-10 EGEN,4,200,-30 EGEN,4,200,-30 EMID /VIEW,1,1,2,3 EPLOT *ENDIF NSLE,S NSEL,INVERT NDELE,ALL NSEL,ALL NSEL,S,LOC,X,0 D,ALL,ALL ! FIX LEFT END NSEL,ALL WSORT,x FINISH /SOLU *IF,QUAD,EQ,1,THEN ! QUAD ELEMENT LOADS *IF,LOW,EQ,1,THEN /TITLE, STRAIGHT BEAM - EXTENSION (DISP = 3E-5) F,13,FX,.50,,53,40 *REPEAT,7,200,,,,200 SOLVE


1837

Benchmark Input Listings /TITLE, STRAIGHT BEAM - IN-PLANE LOAD (DISP = .1081) FDEL,ALL F,13,FY,.50,,53,40 *REPEAT,7,200,,,,200 SOLVE *ELSE /TITLE, STRAIGHT BEAM - EXTENSION (DISP = 3E-5) NSEL,S,LOC,X,6 F,ALL,FX,(1/6) NSEL,R,LOC,Y,.1 F,ALL,FX,(2/3) NSEL,ALL SOLVE /TITLE, STRAIGHT BEAM - IN-PLANE LOAD (DISP = .1081) FDEL,ALL NSEL,S,LOC,X,6 F,ALL,FY,(1/6) NSEL,R,LOC,Y,.1 F,ALL,FY,(2/3) NSEL,ALL SOLVE *ENDIF *ENDIF *IF,TRI,EQ,1,THEN ! HIGHER ORDER TRAINGLE LOADS /TITLE, STRAIGHT BEAM - EXTENSION (DISP = 3E-5) NSEL,S,LOC,X,6 F,ALL,FX,(1/6) NSEL,R,LOC,Y,.1 F,ALL,FX,(2/3) NSEL,ALL SOLVE /TITLE, STRAIGHT BEAM - IN-PLANE LOAD (DISP = .1081) FDEL,ALL NSEL,S,LOC,X,6 F,ALL,FY,(1/6) NSEL,R,LOC,Y,.1 F,ALL,FY,(2/3) NSEL,ALL SOLVE *ENDIF *IF,BRICK,EQ,1,THEN ! BRICK ELEMENT LOADS *IF,LOW,EQ,1,THEN /TITLE, STRAIGHT BEAM - EXTENSION (DISP = 3E-5) F,13,FX,.25,,53,40 *REPEAT,7,200,,,,200 F,1313,FX,.25,,1353,40 *REPEAT,7,200,,,,200 SOLVE /TITLE, STRAIGHT BEAM - IN-PLANE LOAD (DISP = .1081) FDEL,ALL F,13,FY,.25,,53,40 *REPEAT,7,200,,,,200 F,1313,FY,.25,,1353,40 *REPEAT,7,200,,,,200 SOLVE /TITLE, STRAIGHT BEAM - OUT-OF-PLANE LOAD (DISP. = .4321) FDEL,ALL F,13,FZ,.25,,53,40 *REPEAT,7,200,,,,200 F,1313,FZ,.25,,1353,40 *REPEAT,7,200,,,,200 SOLVE /TITLE, STRAIGHT BEAM - TWIST LOAD (ROT = .03208) FDEL,ALL F,13,FZ,2.5,,1213,200 F,53,FZ,-2.5,,1253,200 *UNIT TWISTING MOMENT (0.2*5) F,1313,FZ,2.5,,2513,200 F,1353,FZ,-2.5,,2553,200 SOLVE *ELSE /TITLE, STRAIGHT BEAM - EXTENSION (DISP = 3E-5) NSEL,S,LOC,X,6

1838


Benchmark D1 Input Listing F,ALL,FX,(1/3) NSEL,R,LOC,Z,0 NSEL,R,LOC,Y,0 F,ALL,FX,(-1/12) NSEL,S,LOC,X,6 NSEL,R,LOC,Z,0 NSEL,R,LOC,Y,.2 F,ALL,FX,(-1/12) NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.1 NSEL,R,LOC,Y,0 F,ALL,FX,(-1/12) NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.1 NSEL,R,LOC,Y,.2 F,ALL,FX,(-1/12) NSEL,ALL SOLVE /TITLE, STRAIGHT BEAM FDEL,ALL NSEL,S,LOC,X,6 F,ALL,FY,(1/3) NSEL,R,LOC,Z,0 NSEL,R,LOC,Y,0 F,ALL,FY,(-1/12) NSEL,S,LOC,X,6 NSEL,R,LOC,Z,0 NSEL,R,LOC,Y,.2 F,ALL,FY,(-1/12) NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.1 NSEL,R,LOC,Y,0 F,ALL,FY,(-1/12) NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.1 NSEL,R,LOC,Y,.2 F,ALL,FY,(-1/12) NSEL,ALL SOLVE /TITLE, STRAIGHT BEAM FDEL,ALL NSEL,S,LOC,X,6 F,ALL,FZ,(1/3) NSEL,R,LOC,Z,0 NSEL,R,LOC,Y,0 F,ALL,FZ,(-1/12) NSEL,S,LOC,X,6 NSEL,R,LOC,Z,0 NSEL,R,LOC,Y,.2 F,ALL,FZ,(-1/12) NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.1 NSEL,R,LOC,Y,0 F,ALL,FZ,(-1/12) NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.1 NSEL,R,LOC,Y,.2 F,ALL,FZ,(-1/12) NSEL,ALL SOLVE /TITLE, STRAIGHT BEAM FDEL,ALL NSEL,S,LOC,X,6 NSEL,R,LOC,Z,0 NSEL,R,LOC,Y,.1 F,ALL,FY,-5 NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.05 NSEL,R,LOC,Y,0 F,ALL,FZ,5 NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.1

IN-PLANE LOAD (DISP = .1081)

OUT-OF-PLANE LOAD (DISP. = .4321)

TWIST LOAD (ROT = .03208)


1839

Benchmark Input Listings NSEL,R,LOC,Y,.1 F,ALL,FY,5 NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.05 NSEL,R,LOC,Y,.2 F,ALL,FZ,-5 NSEL,S,LOC,X,6 NSEL,R,LOC,Z,0 NSEL,R,LOC,Y,0 F,ALL,FZ,(-15/12) NSEL,S,LOC,X,6 NSEL,R,LOC,Z,0 NSEL,R,LOC,Y,.2 F,ALL,FZ,(15/12) NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.1 NSEL,R,LOC,Y,0 F,ALL,FZ,(-15/12) NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.1 NSEL,R,LOC,Y,.2 F,ALL,FZ,(15/12) NSEL,ALL SOLVE *ENDIF *ENDIF *IF,TET,EQ,1,THEN /TITLE, STRAIGHT BEAM NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.05 F,ALL,FX,(1/6) NSEL,S,LOC,X,6 NSEL,R,LOC,Y,.1 F,ALL,FX,(1/6) NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.05 NSEL,R,LOC,Y,.1 F,ALL,FX,(1/3) NSEL,ALL SOLVE /TITLE, STRAIGHT BEAM FDEL,ALL NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.05 F,ALL,FY,(1/6) NSEL,S,LOC,X,6 NSEL,R,LOC,Y,.1 F,ALL,FY,(1/6) NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.05 NSEL,R,LOC,Y,.1 F,ALL,FY,(1/3) NSEL,ALL SOLVE /TITLE, STRAIGHT BEAM FDEL,ALL NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.05 F,ALL,FZ,(1/6) NSEL,S,LOC,X,6 NSEL,R,LOC,Y,.1 F,ALL,FZ,(1/6) NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.05 NSEL,R,LOC,Y,.1 F,ALL,FZ,(1/3) NSEL,ALL SOLVE /TITLE, STRAIGHT BEAM FDEL,ALL NSEL,S,LOC,X,6 NSEL,R,LOC,Z,0

1840

-

! HIGHER ORDER TET ELEMENT LOADS EXTENSION (DISP = 3E-5)

-

IN-PLANE LOAD (DISP = .1081)

-

OUT-OF-PLANE LOAD (DISP. = .4321)

-

TWIST LOAD (ROT = .03208)


Benchmark D1 Input Listing NSEL,R,LOC,Y,.1 F,ALL,FY,-(1/.3) NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.05 NSEL,R,LOC,Y,0 F,ALL,FZ,(1/.3) NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.1 NSEL,R,LOC,Y,.1 F,ALL,FY,(1/.3) NSEL,S,LOC,X,6 NSEL,R,LOC,Z,.05 NSEL,R,LOC,Y,.2 F,ALL,FZ,-(1/.3) NSEL,ALL SOLVE *ENDIF FINISH /POST1 ! -- DISPLACEMENT RATIOS -LCDEF,1,1 LCFACT,1,(1/3E-5) LCASE,1 ! LOAD CASE 1 NSEL,S,LOC,X,6 NSEL,R,LOC,Z,0 PRNSOL,U,X *USE,MAC3,'X',1 LCDEF,2,2,$ LCFACT,2,(1/0.1081) LCASE,2 ! LOAD CASE 2 NSEL,S,LOC,X,6 NSEL,R,LOC,Z,0 PRNSOL,U,Y *USE,MAC3,'Y',2 *IF,ATYP,EQ,3,THEN LCDEF,3,3 LCFACT,3,(1/0.4321) LCASE,3 ! LOAD CASE 3 NSEL,S,LOC,X,6 NSEL,R,LOC,Z,0 PRNSOL,U,Z *USE,MAC3,'Z',3 LCDEF,4,4 LCFACT,4,(1/0.003208) LCASE,4 ! LOAD CASE 4 NSEL,S,LOC,X,6 NSEL,R,LOC,Z,0 *USE,MAC3,'Z',4 *ENDIF ! -- ENERGRY ERROR NORMS -*USE,MAC4,1 *USE,MAC4,2 *IF,ATYP,EQ,3,THEN *USE,MAC4,3 *USE,MAC4,4 *ENDIF /OUT /COM /COM ================================================================= /COM *MSG,INFO,ELAB ELEMENT TYPE: %C /COM /COM DISPLACEMENT RATIO /COM /COM LOADING | RECT TRAP15 TRAP30 TRAP45 PARL15 PARL30 PARL45 /COM ----------------------------------------------------------------*VWRITE,LAB(1),DR(1,1),DR(1,2),DR(1,3),DR(1,4),DR(1,5),DR(1,6),DR(1,7) (2X,A8,2X,7(F5.3,3X)) /COM /COM ENERGY NORM ERROR /COM /COM LOADING | RECT TRAP15 TRAP30 TRAP45 PARL15 PARL30 PARL45


1841

Benchmark Input Listings /COM ----------------------------------------------------------------*VWRITE,LAB(1),ER(1,1),ER(1,2),ER(1,3),ER(1,4),ER(1,5),ER(1,6),ER(1,7) (2X,A8,3X,7(F4.0,4X)) /OUT,SCRATCH FINISH PARSAV ! SAVE LOOP PARAMETERS /clear, nostart /NOPR PARRES *ENDDO

Benchmark D2 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMD2 /DEVICE,VECTOR,ON /TITLE, VMD2, BARREL VAULT ROOF UNDER SELF-WEIGHT /COM /COM COOK, CONCEPTS AND APPL OF F.E.A., 2ND ED., 1981, PP. 284-287. /COM /NOPR /OUT,SCRATCH *DIM,R,,5,5 *DO,I,1,3

! ARRAY PARAMETER FOR RESULTS

*IF,I,EQ,1,THEN ETYP=63 *ELSEIF,I,EQ,2,THEN ETYP=181 *ELSEIF,I,EQ,3,THEN ETYP=281 *ENDIF

! DEFINE ELEMENT TYPE

*DO,J,1,5 *IF,J,EQ,1,THEN BETA=65.0 *ELSEIF,J,EQ,2,THEN BETA=77.5 *ELSEIF,J,EQ,3,THEN BETA=90.0 *ELSEIF,J,EQ,4,THEN BETA=110.0 *ELSEIF,J,EQ,5,THEN BETA=130.0 *ENDIF

! DEFINE SKEW ANGLE

/PREP7 $smrt,off ANTYPE,STATIC ET,1,ETYP *IF,ETYP,EQ,181,THEN KEYOPT,1,3,2 *ENDIF MP,EX,1,4.32E8 MP,NUXY,1,0.0 MP,DENS,1,36.7347 R,1,0.25 CSYS,1 A=6.25 K,1,25,50 $ K,2,25,60 K,3,25,70 $ K,4,25,80 K,5,25,90 $ KGEN,5,1,5,1,,,A GAM=(135-(BETA/2)) DEGR=(3.14159/180) TGAM=TAN((GAM*DEGR)) *IF,BETA,GE,90.0,THEN ZZ=((A*TGAM)/(1+TGAM))

1842

! STATIC ANALYSIS ! DEFINE ELEMENT TYPE PARAMETRICALLY

! DEFINE MATERIAL PROPERTIES

! DEFINE CYLINDRICAL C.S. ! DEFINE KEYPOINTS

! CALCULATE SKEWED KEYPOINT COORDINATES


Benchmark D2 Input Listing TAU=ATAN((A-ZZ)/((2*A)-ZZ)) TAU=TAU/DEGR ALPA=(90-(2*TAU)) *ELSE GAM=(180-GAM) TGAM=TAN((GAM*DEGR)) ZZ=((A*TGAM)/(TGAM-1)) TAU=ATAN((ZZ-A)/((2*A)-ZZ)) TAU=TAU/DEGR ALPA=(90+(2*TAU)) *ENDIF R(J,4)=BETA R(J,5)=ALPA RAT=ZZ/A Z1=ZZ Z2=((2*A)-Z1) Z3=((2*A)+Z1) Z4=((4*A)-Z1) ANG=(RAT*10) K,7,25,(ANG+50),Z1 K,9,25,(ANG+70),Z2 K,17,25,(70-ANG),Z3 K,19,25,(90-ANG),Z4 A,1,2,7,6 $ *REPEAT,4,1,1,1,1 A,6,7,12,11 $ *REPEAT,4,1,1,1,1 A,11,12,17,16 $ *REPEAT,4,1,1,1,1 A,16,17,22,21 $ *REPEAT,4,1,1,1,1 ESIZE,,1 ESHAPE,2 AMESH,ALL /VIEW,1,1,1,1 EPLOT NSEL,S,LOC,Z,0 $ NSEL,R,LOC,Y,50 *GET,N1,NODE,,NUM,MAX NSEL,S,LOC,Z,0 $ NSEL,R,LOC,Y,90 *GET,N2,NODE,,NUM,MAX NSEL,ALL CSYS,0 NSEL,S,LOC,Z,0 DSYMM,SYMM,Z NSEL,S,LOC,X,0 DSYMM,SYMM,X NSEL,S,LOC,Z,25 D,ALL,UX,0,,,,UY,ROTZ NSEL,ALL ACEL,,9.8 WSORT,Z CHECK FINISH /SOLU SOLVE FINISH /POST1 SET,1,1 UY1T=-.3016 SZ1T=358420 SY2T=-213400 SHELL,MID *GET,UY1,NODE,N1,U,Y UYN=UY1/UY1T R(J,1)=UYN RSYS,1 SHELL,BOT *GET,SZ1B,NODE,N1,S,Z SZN=SZ1B/SZ1T R(J,2)=SZN *GET,SY2B,NODE,N2,S,Y SYN=SY2B/SY2T R(J,3)=SYN FINISIH PARSAV,ALL /CLEAR, NOSTART ! CLEAR DATABASE

! CALCULATE ANGLE ALPHA (ALPA)

! CALCULATE ANGLE ALPHA (ALPA) ! STORE SKEW ANGLES

! Z COORDINATES OF SKEWED KEYPOINTS

! CALCULATE ANGLE OF SKEWED KEYPOINTS ! DEFINE SKEWED KEYPOINT

! GENERATE AREAS

! DEFINE ELEMENT SIZE ! MAPPED MESHING ! MESH ALL AREAS

! ! ! !

SELECT NODE OF INTEREST GET NODE NUMBER SELECT NODE OF INTEREST GET NODE NUMBER

! SWITCH TO GLOBAL CARTESIAN C.S. ! APPLY SYMMETRY B.C.

! CONSTRAIN MODEL EDGE ! DEFINE GRAVITATIONAL ACCELERATION ! REORDER ELEMENTS ! CHECK ELEMENTS FOR EXCESSIVE WARPING

! ! ! ! ! !

TARGET DISPLACEMENT SOLUTION TARGET SZ STRESS TARGET SY STRESS PROCESS MIDDLE STRESSES GET UY AT NODE N1 CALCULATE NORMALIZED DISPLACEMENT

! ! ! !

ACTIVATE CYLINDRICAL RESULTS C.S. PROCESS BOTTOM STRESSES GET AXIAL (Z) STRESS AT BOTTOM CALCULATE NORMALIZED SZ STRESS

! GET CIRCUMFERENTIAL (Y) STRESS AT BOTTOM ! CALCULATE NORMALIZED SY STRESS

! SAVE LOOP PARAMETERS


1843

Benchmark Input Listings PARRES *ENDDO /GOPR /OUT /COM /COM *MSG,INFO,ETYP ELEMENT: SHELL %I /COM /COM SKEW ANGLE RATIO /COM BETA ALPHA | UY(1) S AXIAL(1) S THETA(2) /COM -------------------------------------------------------*VWRITE,R(1,4),R(1,5),R(1,1),R(1,2),R(1,3) (2X,F5.1,5X,F5.1,5X,3(F6.3,6X)) /NOPR /OUT,SCRATCH *ENDDO

Benchmark D3 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMD3 /DEVICE,VECTOR,ON /TITLE, VMD3, FREE-FREE VIBRATION OF A SOLID BEAM /COM /COM BLEVINS "FORMULAS FOR NATURAL FREQUENCY AND MODE SHAPE" /COM TABLE 8-1, PG. 108, AND TABLE 8-16, PG. 183. /COM ! -----------------------------------------------------------------------! PARAMETER KEY: ! ! ETYP - ELEMENT TYPE ! ATYP ANALYSIS OPTION (0=BENDING MODE, 1=AXIAL MODE) ! QUAD '1' IF QUADRILATERAL ELEMENTS ! TRI '1' IF TRIANGULAR HIGHER ORDER ELEMENTS ! BRICK '1' IF BRICK ELEMENTS ! TET '1' IF HIGHER ORDER TET ELEMENTS ! LOW '1' LOWER ORDER QUAD OR BRICK ELEMENTS ! HIGH '1' HIGHER ORDER QUAD OR BRICK ELEMENTS ! AD ANALYSIS TYPE (2=2D, 3=3D) ! ! NOTE: FOR QUAD, TRI, BRICK, AND TET ELEMENTS: ONLY ONE BE ACTIVE ('1'). ! LOW OR HIGH ARE APPLICABLE ONLY FOR QUAD OR BRICK ELEMENTS. SET ! LOW AND HIGH TO ZERO FOR TRI AND TET ELEMENTS. ! ----------------------------------------------------------------------/NOPR /OUTPUT,SCRATCH *DIM,NF,,7,6 *DIM,LAB,CHAR,7 LAB(1)='RECT' $ LAB(2)='TRAP 15' $ LAB(3)='TRAP 30' $ LAB(4)='TRAP 45' LAB(5)='PARL 15' $ LAB(6)='PARL 30' $ LAB(7)='PARL 45' *CREATE,MAC1 ! CREATE MACRO TO MODIFY NODES ARG1=(ARG1*3.141592654)/180. DELX=(0.1*TAN(ARG1)) NMODIF,ARG2,(1+DELX) $ *REPEAT,3,4,2 NMODIF,ARG3,(2-DELX) $ *REPEAT,2,4,2 NMODIF,ARG4,(1-DELX) $ *REPEAT,3,4,2 NMODIF,ARG5,(2+DELX) $ *REPEAT,2,4,2 *END *CREATE,MAC2 ! CREATE MACRO TO MODIFY NODES ARG1=(ARG1*3.141592654)/180. DELX=(0.1*TAN(ARG1)) NMODIF,ARG2,(1-DELX) $ *REPEAT,5,2,1 NMODIF,ARG3,(1+DELX) $ *REPEAT,5,2,1 *END

1844


Benchmark D3 Input Listing

*CREATE,MAC3 /PREP7 ESEL,S,,,E1,E2 NSLE,S $ ESEL,INVERT $ NSEL,INVERT DDELE,ALL,ALL EDELE,ALL $ NDELE,ALL NSEL,ALL $ ESEL,ALL FINISH /SOLU ANTYPE,MODAL MODOPT,LANB,2 ! MXPAND,2 SOLVE FINISH /POST1 *IF,ATYP,EQ,1,THEN SET,,2 *ELSE SET,,1 *ENDIF *GET,NF1,ACTIVE,,SET,FREQ NF(ARG1,J)=NF1/TF FINISH E1=E2+1 E2=E2+EINC PARSAV,ALL RESUME PARRES *END *DO,I,1,2 *IF,I,EQ,1,THEN ATYP=0 $ MTYPE='AXIAL' *ELSE ATYP=1 $ MTYPE='BENDING' *ENDIF *DO,J,1,5 *IF,J,EQ,1,THEN ETYP=183 $ QUAD=1 $ TRI=0 *ELSEIF,J,EQ,2,THEN ETYP=182 $ QUAD=1 $ TRI=0 *ELSEIF,J,EQ,3,THEN ETYP=185 $ QUAD=0 $ TRI=0 *ELSEIF,J,EQ,4,THEN ETYP=187 $ QUAD=0 $ TRI=0 *ELSEIF,J,EQ,5,THEN ETYP=186 $ QUAD=0 $ TRI=0 *ENDIF /PREP7

! CREATE MACRO TO PERFORM ANALYSIS ! SELECT APPROPRIATE (MODEL) ELEMENTS ! SELECT UNUSED NODES & ELEMENTS ! DELETE EXTRANEOUS CONTRAINTS ! " " NODES & ELEMENTS

! MODAL ANALYSIS LANB EXTRACTION METHOD ! EXPAND FIRST MODE

! SKIP 1ST FREQUENCY - RIGID BODY MOTION

! GET 1ST NATURAL FREQUENCY ! NORMALIZE ! INCREMENT ELEMENTS ! SAVE PARAMETES ! RESTORE DATABASE ! RESTORE PARAMETERS

! AXIAL MODE ! BENDING MODE

! $ BRICK=0 $ ! $ BRICK=0 $ ! $ BRICK=1 $ ! $ BRICK=0 $ ! $ BRICK=1 $

PLANE183 TET=0 $ LOW=0 PLANE 182 TET=0 $ LOW=1 SOLID185 TET=0 $ LOW=1 SOLID187 TET=1 $ LOW=0 SOLID186 TET=0 $ LOW=0

$ HIGH=1 $ AD=2 $ HIGH=0 $ AD=2 $ HIGH=0 $ AD=3 $ HIGH=0 $ AD=3 $ HIGH=1 $ AD=3

*IF,BRICK,EQ,1,AND,LOW,EQ,1,THEN ET,1,ETYP,,3 !SIMPLIFIED ENHANCED STRAIN FORMULATION *ELSEIF,BRICK,EQ,1,AND,HIGH,EQ,1,THEN ET,1,ETYP,,1 !FULL INTEGRATION *ELSEIF,TET,EQ,1,THEN ET,1,ETYP *ELSEIF,QUAD,EQ,1,AND,LOW,EQ,1,THEN ET,1,ETYP,3,,3 !ENHANCED STRAIN FORMULATION *ELSE ET,1,ETYP,,,3 *ENDIF R,1,.1 MP,EX,1,200E9 MP,NUXY,1,0.3 MP,DENS,1,8000

! MATERIAL PROPERTIES

N,1 $ N,13,6,0 FILL,1,13,5,3,2 NGEN,3,20,1,13,2,0,0.1,0 NGEN,4,200,1,53,2,0,0,0

! DEFINE CORNER NODES ! DEFINE NODES FOR TRAPIZOIDAL ELEMENTS


1845

Benchmark Input Listings *USE,MAC1,15,203,205,243,245 *USE,MAC1,30,403,405,443,445 *USE,MAC1,45,603,605,643,645 NGEN,2,800,1,53,2,0,0,0 NGEN,3,200,801,853,2 *USE,MAC2,15,803,843 *USE,MAC2,30,1003,1043 *USE,MAC2,45,1203,1243

! MODIFY NODE LOCATIONS

*IF,QUAD,EQ,1,THEN E,1,3,43,41 EGEN,6,2,-1 EGEN,4,200,-6 EGEN,4,200,-6 *IF,HIGH,EQ,1,THEN EMID *ENDIF EPLOT *ENDIF

! QUAD ELEMENT

*IF,TRI,EQ,1,THEN E,1,3,41 E,3,43,41 EGEN,6,2,-2 EGEN,4,200,-12 EGEN,4,200,-12 EMID EPLOT *ENDIF

! HIGHER ORDER TRIANGLE ELEMENT

*IF,BRICK,EQ,1,THEN NGEN,2,1300,1,1353,1,,,.1 E,1,3,43,41,1301,1303,1343,1341 EGEN,6,2,-1 EGEN,4,200,-6 EGEN,4,200,-6 *IF,HIGH,EQ,1,THEN EMID *ENDIF EPLOT *ENDIF

! BRICK ELEMENT

*IF,TET,EQ,1,THEN NGEN,2,1300,1,1353,1,,,.1 E,1,1301,1303,1341 E,1,1303,3,43 E,1303,1343,43,1341 E,1,1303,43,1341 E,1,43,1341,41 E,3,1303,5,43 E,1303,1305,5,1345 E,1303,5,43,1345 E,5,43,1345,45 E,1303,1345,43,1343 EGEN,3,4,-10 EGEN,4,200,-30 EGEN,4,200,-30 EMID EPLOT *ENDIF

! HIGHER ORDER TET ELEMENT

NSLE,S NSEL,INVERT NDELE,ALL NSEL,ALL

! SELECT AND DELETE UNNECESSARY NODES

NSEL,S,LOC,X,6 DSYMM,SYMM,X

! SYMMETRY CONSTRAINTS

! DEFINE NODES FOR PARALLALOGRAM ELEMENTS ! MODIFY NODE LOCATIONS

*IF,TET,EQ,1,THEN ! PREVENT OUT-OF-PLANE DISP (3D) NSEL,S,LOC,Z,0 $ D,ALL,UZ,0 $ NSEL,ALL *ELSEIF,BRICK,EQ,1,THEN

1846


Benchmark D3 Input Listing NSEL,S,LOC,Z,0 $ D,ALL,UZ,0 $ NSEL,ALL *ENDIF *IF,ATYP,EQ,1,THEN TF=7.138 ! TARGET FREQUENCY - BENDING MODE *ELSE TF=208.333 ! TARGET FREQUENCY - AXIAL MODE NSEL,S,LOC,Y,0 $ D,ALL,UY,0 $ NSEL,ALL NSEL,U,LOC,Y,0 $ NSEL,U,LOC,X,6 *IF,AD,EQ,3,THEN NSEL,U,LOC,Z,0 *ENDIF NSEL,ALL *ENDIF *IF,TRI,EQ,1,THEN EINC=12 *ELSEIF,TET,EQ,1,THEN EINC=30 *ELSE EINC=6 *ENDIF SAVE FINISH E1=1 $ E2=EINC /TITLE, MODAL ANALYSIS *USE,MAC3,1 /TITLE, MODAL ANALYSIS *USE,MAC3,2 /TITLE, MODAL ANALYSIS *USE,MAC3,3 /TITLE, MODAL ANALYSIS *USE,MAC3,4 /TITLE, MODAL ANALYSIS *USE,MAC3,5 /TITLE, MODAL ANALYSIS *USE,MAC3,6 /TITLE, MODAL ANALYSIS *USE,MAC3,7

- RECTANGULAR ELEMENTS - TRAPEZOIDAL ELEMENTS - 15 DEG. - TRAPEZOIDAL ELEMENTS - 30 DEG. - TRAPEZOIDAL ELEMENTS - 45 DEG. - PARALLELOGRAM ELEMENTS - 15 DEG. - PARALLELOGRAM ELEMENTS - 30 DEG. - PARALLELOGRAM ELEMENTS - 45 DEG.

*STAT,NF PARSAV,ALL /clear, nostart PARRES *IF,J,EQ,5,THEN /OUT /COM /COM /COM *MSG,INFO,MTYPE MODE: %C /COM /COM 1ST NATURAL FREQUENCY RATIO /COM /COM SHAPE | PLANE183 PLANE182 SOLID185 SOLID187 SOLID186 /COM ---------------------------------------------------------------*VWRITE,LAB(1),NF(1,1),NF(1,2),NF(1,3),NF(1,4),NF(1,5) (2X,A8,2X,6(F6.3,3X)) *ENDIF /OUT,SCRATCH *ENDDO *ENDDO /OUT /TITLE, VMD3, FREE-FREE VIBRATION OF A SOLID BEAM /COM /COM BLEVINS "FORMULAS FOR NATURAL FREQUENCY AND MODE SHAPE" /COM TABLE 8-1, PG. 108, AND TABLE 8-16, PG. 183.


1847

Benchmark Input Listings /COM /NOPR /OUTPUT,SCRATCH *DIM,NF,,7,6 *DIM,LAB,CHAR,7 LAB(1)='RECT' $ LAB(2)='TRAP 15' $ LAB(3)='TRAP 30' $ LAB(4)='TRAP 45' LAB(5)='PARL 15' $ LAB(6)='PARL 30' $ LAB(7)='PARL 45' *CREATE,MAC1 ! CREATE MACRO TO MODIFY NODES ARG1=(ARG1*3.141592654)/180. DELX=(0.1*TAN(ARG1)) NMODIF,ARG2,(1+DELX) $ *REPEAT,3,4,2 NMODIF,ARG3,(2-DELX) $ *REPEAT,2,4,2 NMODIF,ARG4,(1-DELX) $ *REPEAT,3,4,2 NMODIF,ARG5,(2+DELX) $ *REPEAT,2,4,2 *END *CREATE,MAC2 ! CREATE MACRO TO MODIFY NODES ARG1=(ARG1*3.141592654)/180. DELX=(0.1*TAN(ARG1)) NMODIF,ARG2,(1-DELX) $ *REPEAT,5,2,1 NMODIF,ARG3,(1+DELX) $ *REPEAT,5,2,1 *END *CREATE,MAC3 ! CREATE MACRO TO PERFORM ANALYSIS /PREP7 ESEL,S,,,E1,E2 ! SELECT APPROPRIATE (MODEL) ELEMENTS NSLE,S $ ESEL,INVERT $ NSEL,INVERT ! SELECT UNUSED NODES & ELEMENTS DDELE,ALL,ALL ! DELETE EXTRANEOUS CONSTRAINTS EDELE,ALL $ NDELE,ALL ! " " NODES & ELEMENTS NSEL,ALL $ ESEL,ALL FINISH /SOLU ANTYPE,MODAL ! MODAL ANALYSIS MODOPT,LANB,2 ! LANB EXTRACTION METHOD MXPAND,2 ! EXPAND FIRST MODE SOLVE ! PERFORM MODAL ANALYSIS FINISH /POST1 *IF,ATYP,EQ,1,THEN SET,,2 ! SKIP 1ST MODE - RIGID BODY MOTION *ELSE SET,,1 *ENDIF *GET,NF1,ACTIVE,,SET,FREQ ! GET 1ST NATURAL FREQUENCY NF(ARG1,1)=NF1/TF ! NORMALIZE FINISH E1=E2+1 ! INCREMENT ELEMENTS E2=E2+EINC PARSAV,ALL ! SAVE PARAMETERS RESUME ! RESTORE DATABASE PARRES ! RESTORE PARAMETERS *END ETYP=2 ATYP=0 ! 0=BENDING MODE, 1=AXIAL MODE /PREP7 ET,1,ETYP,,,3 R,1,.1 MP,EX,1,200E9 ! MATERIAL PROPERTIES MP,NUXY,1,0.3 MP,DENS,1,8000 N,1 $ N,13,6,0 FILL,1,13,5,3,2 NGEN,3,20,1,13,2,0,0.1,0 ! DEFINE CORNER NODES NGEN,4,200,1,53,2,0,0,0 ! DEFINE NODES FOR TRAPEZOIDAL ELEMENTS *USE,MAC1,15,203,205,243,245 ! MODIFY NODE LOCATIONS *USE,MAC1,30,403,405,443,445 *USE,MAC1,45,603,605,643,645 NGEN,2,800,1,53,2,0,0,0 ! DEFINE NODES FOR PARALLELOGRAM ELEMENTS NGEN,3,200,801,853,2 *USE,MAC2,15,803,843 ! MODIFY NODE LOCATIONS *USE,MAC2,30,1003,1043 *USE,MAC2,45,1203,1243 E,1,3,41 ! ELEMENT GENERATION E,3,43,41

1848


Benchmark D3 Input Listing EGEN,6,2,-2 EGEN,4,200,-12 EGEN,4,200,-12 EMID NSLE,S ! SELECT AND DELETE UNNECESSARY NODES NSEL,INVERT NDELE,ALL NSEL,ALL WSORT,X NSEL,S,LOC,X,6 ! SYMMETRY CONSTRAINTS DSYMM,SYMM,X *IF,ATYP,EQ,1,THEN TF=7.138 ! TARGET FREQUENCY - BENDING MODE *ELSE TF=208.333 ! TARGET FREQUENCY - AXIAL MODE NSEL,S,LOC,Y,0 $ D,ALL,UY,0 $ NSEL,ALL NSEL,U,LOC,Y,0 $ NSEL,U,LOC,X,6 NSEL,ALL *ENDIF EINC=12 SAVE FINISH E1=1 $ E2=EINC /TITLE, MODAL ANALYSIS - RECTANGULAR ELEMENTS *USE,MAC3,1 /TITLE, MODAL ANALYSIS - TRAPEZOIDAL ELEMENTS - 15 DEG. *USE,MAC3,2 /TITLE, MODAL ANALYSIS - TRAPEZOIDAL ELEMENTS - 30 DEG. *USE,MAC3,3 /TITLE, MODAL ANALYSIS - TRAPEZOIDAL ELEMENTS - 45 DEG. *USE,MAC3,4 /TITLE, MODAL ANALYSIS - PARALLELOGRAM ELEMENTS - 15 DEG. *USE,MAC3,5 /TITLE, MODAL ANALYSIS - PARALLELOGRAM ELEMENTS - 30 DEG. *USE,MAC3,6 /TITLE, MODAL ANALYSIS - PARALLELOGRAM ELEMENTS - 45 DEG. *USE,MAC3,7 /OUTPUT /COM /COM 1ST NATURAL FREQUENCY RATIO /COM /COM SHAPE | RATIO /COM ----------------------*VWRITE,LAB(1),NF(1,1) (2X,A8,6X,F6.3)


1849

1850


Appendix C. ANSYS LS-DYNA Input Listings This appendix contains all of the input listings for the ANSYS LS-DYNA problems documented in Part III: ANSYS LS-DYNA Study Descriptions (p. 875). VME1 Input Listing VME2 Input Listing VME3 Input Listing VME4 Input Listing VME5 Input Listing VME6 Input Listing

VME1 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VME1 /TITLE,VME1, Spring-Mass System Response to Step Input /PREP7 M=1 K=100 W=SQRT(K/M)

N,1,0,0,0 N,2,1,0,0

!Enter preprocessor !The mass is 1 kg. !The system spring constant is 100 N/m !The system natural frequnecy is w

!Define nodes

!Define element type 1 as MASS166 ET,1,166 !Define element type 2 as COMBIN165 ET,2,165 R,1,M R,2

!Real constant set one is for the mass

!Although the discrete lumped mass and stiffness elements !are used, a material model is still required, and it is !defined below. MP,EX,1,30E6 MP,DENS,1,.000733 MP,NUXY,1,0.29 TYPE,1 REAL,1 E,2

!Create the MASS166 element at node 2

MP,EX,2,30E6 MP,DENS,2,.000733 MP,NUXY,2,0.29 TB,discrete,2,,,0 tbdata,1,K TYPE,2 !Create the COMBIN165 spring element REAL,2 mat,2 E,1,2 NSEL,S,NODE,,2 CM,MASS,NODE ALLSEL

!Create a nodal component


1851

ANSYS LS-DYNA Input Listings

D,1,UX,0 D,1,UY,0 D,1,UZ,0 D,2,UY,0 D,2,UZ,0

!Constrain deflections.

FINISH !Enter solution processor. /SOLU !Generate 1000 time history points. EDRST,1000 EDHTIME,1000 !Specify the mass component for time history output. EDHIST,MASS

!Set the time step scaling factor to 0.01. The default !for solution stability considerations is 0.9, however, for this !small dof system, the solution time is small, and a smoother response !curve can be obtained in minimal time with a reduced time step size. EDCTS,,0.01 !Dimension the arrays that will be used for specifying the !load on the mass at node 2. *DIM,T,ARRAY,3 *DIM,F,ARRAY,3 !Enter the force vs. time values in the arrays. T(1)=0,1,10 F(1)=0,3,3 EDLOAD,ADD,FX,,MASS,T,F TIME,2

!Specify the load !Specify the solution time

/COM &COMPARE,NOCOMPARE SOLVE /COM &COMPARE,NORMAL FINI /POST26

!Enter the time history post-processor.

!Define variable number 2 as the node 2 deflection in the !x-direction. NSOL,2,2,U,X,MASS-UX PLVAR,2 EXTREM,2 *GET,RES1,VARI,2,EXTREM,VMAX, , *DIM,LABEL,CHAR,1 *DIM,RES,,1,3 LABEL(1) = 'PEAK Uz' *VFILL,RES(1,1),DATA,3.575E-2 *VFILL,RES(1,2),DATA,ABS(RES1) *VFILL,RES(1,3),DATA,ABS(RES(1,2)/RES(1,1)) /OUT,vme1,vrt /OUT, /COM, /COM,-------------------- VME1 DYNA RESULTS COMPARISION -------------------/COM, /COM, | TARGET | ANSYS | RATIO | /COM, *VWRITE,LABEL(1),RES(1,1),RES(1,2),RES(1,3) (1X,A8,' ',F5.4,' ',F5.4,' ',F5.3) /COM, /COM,----------------------------------------------------------------------!/OUT *LIST,vme1,vrt

1852


VME2 Input Listing FINISH

VME2 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VME2 /title,VME2, Drop Analysis Of A Block Onto A Spring Scale ! Beer and Johnson, Vector Mechanics for Engineers, pg 635 /PREP7 ET,1,164 R,1 MP,EX,1,207E9 MP,NUXY,1,.29 MP,DENS,1,60 BLOCK,-.5,.5,8.25,8.75,-.5,.5, VMESH,1 CM,BLOCK,NODE ET,2,164 R,2 MP,EX,2,207E9 MP,NUXY,2,.29 MP,DENS,2,10 EDMP,RIGID,2,6,7 TYPE,2 REAL,2 MAT,2 BLOCK,-1,1,6,6.25,-1,1, VMESH,2 ET,3,165 R,3 MP,EX,3,207E9 MP,NUXY,3,.29 MP,DENS,3,10 TB,DISC,3,,,0 TBDATA,1,20000 TYPE,3 REAL,3 MAT,3 N,1000 E,143,1000 NSEL,S,NODE,,1000 D,ALL,ALL ALLS NSEL,S,LOC,Y,6.25 CM,N1,NODE NSEL,S,LOC,Y,8.25 CM,N2,NODE EDCGEN,NTS,N2,N1 ALLS *DIM,TIME,ARRAY,2 *DIM,ACCL,ARRAY,2 TIME(1)=0 TIME(2)=1.5 ACCL(1)=9.81 ACCL(2)=9.81 EDLOAD,ADD,ACLY,,BLOCK,TIME(1),ACCL(1) /VIEW,1,1,1,1 /ANG,1 /AUTO,1 EPLOT FINI /SOLU


1853

ANSYS LS-DYNA Input Listings TIME,.75 EDRST,10 EDHT,50 NSEL,S,NODE,,143 CM,SCALE,NODE EDHIST,SCALE ALLS SAVE /COM &COMPARE,NOCOMPARE SOLVE /COM &COMPARE,NORMAL /POST26 FILE,,his NSOL,2,143,U,Y,DISPY PLVAR,2 PRVAR,2 *GET,RES1,VARI,2,EXTREM,VMIN, , *DIM,LABEL,CHAR,1 *DIM,RES,,1,3 LABEL(1) = 'MAX Uy' *VFILL,RES(1,1),DATA,0.225 *VFILL,RES(1,2),DATA,ABS(RES1) *VFILL,RES(1,3),DATA,ABS(RES(1,2)/RES(1,1)) /OUT,vme2,vrt /COM, /COM,-------------------- VME2 DYNA RESULTS COMPARISION -------------------/COM, /COM, | TARGET | ANSYS | RATIO | /COM, *VWRITE,LABEL(1),RES(1,1),RES(1,2),RES(1,3) (1X,A8,' ',F5.3,' ',F5.3,' ',F5.3) /COM, /COM,----------------------------------------------------------------------/OUT *LIST,vme2,vrt *DELETE,vme2,db FINISH

VME3 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vme3 /TITLE,VME3,Response of Spring-Mass-Damper System ! Modeling And Analysis of Dynamic Systems, ! Close and Frederick, page 314 PI=3.1415927 ZETA=0.21545376 ! zeta=damping ratio. M=1.0 ! m=mass. K=(4*PI)**2.0 ! k=spring stiffness. WN=SQRT(K/M) ! wn=system undamped natural frequency. C=M*(2*ZETA*WN) ! c=damping constant. /PREP7 ! Enter preprocessor. N,1,0,0,0 ! Node 1 will be the fixed end. N,2,1,0,0 ! The applied force will be at node 2. ET,1,166 ! Define element type 1 as MASS166. ET,2,165 ! Define element type 2 as COMBIN165. R,1,M ! Real constant for MASS166 is the value of the mass. R,2 MP,EX,1,30E6 ! Define modulus of elasticity. MP,DENS,1,.000733 ! Define density. MP,NUXY,1,0.29 ! Define poisson's ratio. MP,EX,2,30E6 MP,DENS,2,.000733 MP,NUXY,2,0.29 TB,discrete,2,,,0

1854


VME3 Input Listing tbdata,1,K TYPE,1 REAL,1 E,2 ! Create the MASS166 element at node 2. TYPE,2 REAL,2 MAT,2 E,1,2 ! Create the COMBIN165 element with end nodes 1 and 2. NSEL,S,NODE,,2 CM,MASS,NODE ! Create a nodal component at node 2 named "mass" ALLSEL D,1,UX,0 ! Constrain all deflections at node 1. D,1,UY,0 D,1,UZ,0 D,2,UY,0 ! Constrain uy and uz deflections at node 2. D,2,UZ,0 EDDAMP,ALL,0,C/M ! Define alpha damping. FINI /SOLU EDRST,1000 EDHTIME,1000 EDHIST,MASS ! Specify the mass component for time history output. EDCTS,,0.001 ! Set a time step scaling factor to 0.001. *DIM,T,ARRAY,2 ! Dimension array for time values. *DIM,FSTEP,ARRAY,2 ! Dimension array for step force input. *DIM,FRAMP,ARRAY,2 ! Dimension array for ramp force input. T(1)=0,1 FSTEP(1)=K,K ! The step input magnitude equals k so x=1 at steady-state. FRAMP(1)=0,K ! The ramp input is the integral of the step input. EDLOAD,ADD,FX,,MASS,T,FSTEP !Specify the load for the step input solution. TIME,1 !Specify the solution time. /COM &COMPARE,NOCOMPARE SOLVE /COM &COMPARE,NORMAL FINI /POST26 !Enter the time history post-processor. NSOL,2,2,U,X,DISPLACE !Define variable 2 - node 2 ux deflection EXTREM,2 !Print the max deflection and peak time *GET,RES1,VARI,2,EXTREM,VMAX,, *GET,TMAX1,VARI,2,EXTREM,TMAX,, /solu !Return to the solution processor. EDLOAD,ADD,FX,,MASS,T,FRAMP !Redefine the load for a ramp input. /COM &COMPARE,NOCOMPARE SOLVE /COM &COMPARE,NORMAL FINI /POST26 NSOL,2,2,V,X,VELOCITY !Define variable 2 - node 2 velocity. PLVAR,2 EXTREM,2 !Print the max velocity and peak time *GET,RES2,VARI,2,EXTREM,VMAX,, *GET,TMAX2,VARI,2,EXTREM,TMAX,, save *DIM,LABEL,CHAR,4 *DIM,RES,,4,3 LABEL(1) = 'MAX Ux','PK TIME','MAX Vx','PK TIME' *VFILL,RES(1,1),DATA,1.5,0.256,1.5,0.256 *VFILL,RES(1,2),DATA,RES1,TMAX1,RES2,TMAX2 *DO,I,1,4 *VFILL,RES(I,3),DATA,(RES(I,2)/RES(I,1)) *ENDDO /OUT,vme3,vrt /COM, /COM,-------------------- VME3 DYNA RESULTS COMPARISION -------------------/COM, /COM, | TARGET | ANSYS | RATIO | /COM, *VWRITE,LABEL(1),RES(1,1),RES(1,2),RES(1,3) (1X,A8,' ',F5.3,' ',F5.3,' ',F5.3) /COM, /COM,-----------------------------------------------------------------------


1855

ANSYS LS-DYNA Input Listings /OUT *LIST,vme3,vrt /GOPR FINISH

VME4 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vme4 /TITLE,VME4, Undamped Vibration Absorber ! Elements of Vibration Analysis, Meirovitch, pp. 131-134 PI=3.1415927 M1=5 K1=10 WN=SQRT(K1/M1) M2=1 K2=100 WA=SQRT(K2/M2) W=WA

!The !The !The !The !The !The !The

/PREP7

!Enter preprocessor

N,1,0,0,0 N,2,1,0,0 N,3,2,0,0

!Define nodes

main mass is 5 kg main system spring constant is 10 N/m main system natural frequency is wn absorber mass is 1 kg. absorber system spring constant is 100 N/m absorber system alone natural frequnecy is wa forcing frequency is w

!Define element type 1 as MASS166 ET,1,166 !Define element type 2 as COMBIN165 ET,2,165 R,1,M1 R,2,M2 R,3 R,4

!Real constant set one is for the main mass !Real constant set two is for the absorber mass

MP,EX,1,30E6 MP,DENS,1,.000733 MP,NUXY,1,0.29 TYPE,1 REAL,1 E,2 REAL,2 E,3

!Create the main system MASS166 element at node 2 and !the absorber mass at node 3.

MP,EX,2,30E6 MP,DENS,2,.000733 MP,NUXY,2,0.29 TB,disc,2,,,0 TBDATA,1,K1 TYPE,2 !Create the COMBIN165 spring elements between the masses. REAL,3 MAT,2 E,1,2

MP,EX,3,30E6 MP,DENS,3,.000733 MP,NUXY,3,0.29 TB,disc,3,,,0 TBDATA,1,K2 TYPE,2 !Create the COMBIN165 spring elements between the masses. REAL,4 MAT,3 E,2,3

1856


VME4 Input Listing NSEL,S,NODE,,2,3 CM,MASSES,NODE ALLSEL NSEL,S,NODE,,2 CM,MASS1,NODE ALLSEL NSEL,S,NODE,,3 CM,MASS2,NODE ALLSEL D,1,UX,0 D,1,UY,0 D,1,UZ,0 D,2,UY,0 D,2,UZ,0 D,3,UY,0 D,3,UZ,0

!Create nodal components

!Constrain deflections.

FINISH !Enter solution processor. /SOLU !Generate 1000 time history points. EDRST,1000 EDHTIME,1000 !Specify the mass component for time history output. EDHIST,MASSES

!Set the time step scaling factor to 0.01. The default !for solution stability considerations is 0.9, however, for this !small dof system, the solution time is small, and a smoother response !curve can be obtained in minimal time with a reduced time step size. edcts,,0.01 !Dimension the arrays that will be used for specifying the !sinusoidal load on the mass at node 2. *dim,t,array,8000 *dim,f,array,8000 !Enter the force vs. time values in the arrays. *do,i,1,8000,1 t(i)=(i-1)/4000 f(i)=sin(w*t(i)) *enddo edload,add,fx,,mass1,t,f !Specify the load time,2 !Specify the solution time EDVEL,VELO,MASS2,-W/k2 !Specify the initial velocity for mass 2, it is at steady-state. /COM &COMPARE,NOCOMPARE solve /COM &COMPARE,NORMAL fini /post26

!Enter the time history post-processor.

!Define variable number 2 as the node 2 deflection in the !x-direction. nsol,2,2,u,x,MAIN nsol,3,3,u,x,ABSORBER plvar,2,3 extrem,2,3 !List the maximum and minimum values of the variables. *GET,RES1,VARI,2,EXTREM,VMAX, , *GET,RES2,VARI,3,EXTREM,VMAX, , *DIM,LABEL,CHAR,2 *DIM,RES,,2,3 LABEL(1) = 'ABS AMP','MAX DEFL' *VFILL,RES(1,1),DATA,0.01,0.00


1857

ANSYS LS-DYNA Input Listings *VFILL,RES(1,2),DATA,RES2,RES1 *VFILL,RES(1,3),DATA,RES(1,2)/RES(1,1) /OUT,vme4,vrt /COM, /COM,-------------------- VME4 DYNA RESULTS COMPARISION -------------------/COM, /COM, | TARGET | ANSYS | RATIO | /COM, *VWRITE,LABEL(1),RES(1,1),RES(1,2),RES(1,3) (1X,A8,' ',F5.3,' ',F5.3,' ',F5.3) /COM, /COM,----------------------------------------------------------------------/OUT *LIST,vme4,vrt /GOPR FINISH

VME5 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vme5 /TITLE,VME5, Pinned Bar Under Gravity Loading /com, Ref: Maclean and Nelson, page 336 /PREP7 ! ENTER PREPROCESSOR *AFUN,DEG ! SET MODE TO DEGREE N,1,0.25*COS(120),0.25*SIN(120) ! DEFINE NODES N,8,0,0,0 FILL,1,8 N,29,0.75*COS(-60),0.75*SIN(-60) FILL,8,29 N,30,1 ET,1,161 ! SET ELEMENT TYPE TO EXPLICIT BEAM R,1,5/6,0.1,0.1,0.1,0.1 ! REAL CONSTANT SET E,1,2,30 ! DEFINE ELEMENTS *REPEAT,28,1,1,0 MP,EX,1,10E6 ! DEFINE YOUNG'S MODULUS MP,DENS,1,1.0 ! DEFINE DENSITY MP,NUXY,1,0.3 ! DEFINE POISSON'S RATIO D,8,UX ! CONSTRAIN PIVOT ALONG D,8,UY ! UX AND UY D,ALL,UZ ! CONTSRAIN ALL NODES ALONG UZ NSEL,S,NODE,,8 NSEL,A,NODE,,30 NSEL,INVE CM,GNODES,NODE ! CREATE NODAL COMPONENT ALLSEL FINISH /SOLUTION ! ENTER SOLUTION EDRST,100 ! SPECIFY OUTPUT INTERVAL EDHTIME,100 ! SPECIFY TIME-HISTORY OUTPUT INTERVAL NSEL,S,NODE,,29 ! SELECT THE NODE AT THE END OF THE BEAM CM,NODE29,NODE ! CREATE NODAL COMPONENT ALLSEL EDHIST,NODE29 ! SPECIFY TIME-HISTORY OUTPUT FOR NODE 29 EDCTS,,0.4 ! DEFINE SCALE FATOR FOR COMPUTED TIME STEP *DIM,T,ARRAY,2 ! DEFINE TIME ARRAY *DIM,G,ARRAY,2 ! DEFINE GRAVITY ARRAY T(1)=0,0.5 ! INITIALIZE THE TIME ARRAY G(1)=9.8,9.8 ! INITIALIZE THE GRAVITY ARRAY EDLOAD,ADD,ACLY,,GNODES,T,G ! SPECIFY THE LOAD TIME,0.5 ! SPECIFY THE SOLUTION TIME /COM &COMPARE,NOCOMPARE SOLVE ! SOLVE THE PROBLEM /COM &COMPARE,NORMAL FINISH /POST26 ! ENTER TIME-HISTORY POSTPROCESSOR FILE,vme5,his ! READ THE HISTORY FILE

1858


VME6 Input Listing NSOL,2,29,U,X ! DEFINE VARIABLE 2 AS UX AT NODE 29 DERIV,3,2,1,,VX ! DEFINE VARIABLE 3 AS VELOCITY AT NODE 29 NSOL,4,29,U,Y ! DEFINE VARIABLE 4 AS UY AT NODE 29 EXTREM,3,4 *GET,TEMP1,VARI,3,EXTREM,VMIN, , RES1 = ABS(TEMP1/0.75) *DIM,RES,,1,3 *VFILL,RES(1,1),DATA,2.121 *VFILL,RES(1,2),DATA,ABS(RES1) *VFILL,RES(1,3),DATA,ABS(RES(1,2)/RES(1,1)) /COM, /OUT,vme5,vrt /COM,-------------------- VME5 DYNA RESULTS COMPARISION -------------------/COM, /COM, TARGET | ANSYS | RATIO /COM, /COM, |w| THTA = 0 deg /COM, *VWRITE,RES(1,1),RES(1,2),RES(1,3) (' ',' ',F5.3,' ',F5.3,' ',F5.3) /COM, /COM,----------------------------------------------------------------------/OUT *LIST,vme5,vrt FINISH

VME6 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vme6 /TITLE,VME6, Projectile with Air Resistance /COM, REF: Marion and Thornton, Pages 60-63 G=386.4 ! DEFINE ACCELERATION DUE TO GRAVITY VX=100.0 ! DEFINE INTIAL VELOCITY IN X DIRECTION VY=500.0 ! DEFINE INTIAL VELOCITY IN Y DIRECTION /PREP7 ! ENTER PREPROCESSOR BLOCK,0,1,0,1,0,1 ! CREATE THE PROJECTILE ET,1,164 ! SET ELEMENT TYPE TO EXPLICIT 3D SOLID MP,EX,1,1.0 ! DEFINE YOUNG'S MODULUS MP,DENS,1,1.0 ! DEFINE DENSITY MP,NUXY,1,0.3 ! DEFINE POISSON'S RATIO ESIZE,,1 TYPE,1 REAL,1 VMESH,ALL ! MESH THE PROJECTILE NSEL,S,LOC,X,0 NSEL,R,LOC,Y,0 NSEL,R,LOC,Z,0 CM,NODE0,NODE ! CREATE NODAL COMPONENT OF NODE AT ORIGIN *GET,NODENUM,NODE,0,NUM,MAX ! STORE THE NODE NUMBER ALLSEL CM,NODES,NODE ! CREATE NODAL COMPONENT OF ALL NODES ALLSEL EDDAMP,ALL,0,1.0 ! DEFINE ALPHA DAMPING FINISH /SOLUTION ! ENTER SOLUTION PROCESSOR EDRST,100 ! SPECIFY OUTPUT INTERVAL EDHTIME,100 ! SPECIFY TIME-HISTORY OUTPUT INTERVAL EDHIST,NODE0 ! SPECIFY TIME-HISTORY OUTPUT FOR NODE0 EDCTS,,0.00025 ! SPECIFY SCALE FACTOR FOR COMPUTED TIME STEP *DIM,T,ARRAY,2 ! DEFINE TIME ARRAY *DIM,ACCELY,ARRAY,2 ! DEFINE ACCELERATION ARRAY T(1)=0.0,2.0 ! INTIALIZE TIME ARRAY ACCELY(1)=G,G ! INTIALIZE ACCELERATION ARRAY !***EDLOAD,ADD,AY,,NODES,T,ACCELY edload,add,acly,,nodes,T,ACCELY

! SPECIFY THE ACCELERATION DUE TO GRAVITY LOAD ! apply a -g to the base to simulate gravity


1859

ANSYS LS-DYNA Input Listings TIME,2.0 ! SPECIFY SOLUTION TIME EDVEL,VELO,NODES,VX,VY ! SPECIFY INITIAL VELOCITY ON ALL LOADS /COM &COMPARE,NOCOMPARE SOLVE ! PERFORM SOLUTION /COM &COMPARE,NORMAL FINISH /POST26 ! ENTER TIME-HISTORY POSTPROCESSOR FILE,vme6,his ! READ THE HISTORY FILE NSOL,2,NODENUM,U,Y,dISPL-Y ! DEFINE VARIABLE 2 AS UY OF NODENUM NSOL,3,NODENUM,U,X,dISPL-X ! DEFINE VARIABLE 3 AS UX OF NODENUM *DIM,TIME,ARRAY,3000 ! DEFINE TIME ARRAY *DIM,YDISP,ARRAY,3000 ! DEFINE Y-DISPLACEMENT ARRAY *DIM,XDISP,ARRAY,3000 ! DEFINE X-DISPLACEMENT ARRAY VGET,TIME(1),1 ! STORE TIME VECTOR IN THE ARRAY VGET,YDISP(1),2 ! STORE Y-DISPLACEMENT VECTOR IN THE ARRAY VGET,XDISP(1),3 ! STORE X-DISPLACEMENT VECTOR IN THE ARRAY ! SORT THROUGH THE ARRAY YDISP AND FIND THE TIME STEP INCREMENT ! AT WHICH THE Y-DIRECTION DEFLECTION WOULD REACH ZERO. THE ! PROJECTILE BEGINS AT Y = 0, AND THEN TRAVELS INTO POSITIVE ! Y-VALUES, THEN FALLS BACK TO Y = 0. THE TIME AT WHICH ! IT REACHES Y = 0 AGAIN IS THE TOTAL TRAVEL TIME OF THE PROJECTILE. *DO,I,1,1000,1 *IF,YDISP(I),LT,0,THEN *EXIT *ENDIF *ENDDO Z=(0.0-YDISP(I-1))/(YDISP(I)-YDISP(I-1)) TRAVELT=TIME(I-1)+Z*(TIME(I)-TIME(I-1)) ! LINEAR INTERPOLATION OF TRAVEL TIME TRAVELD=XDISP(I-1)+Z*(XDISP(I)-XDISP(I-1)) ! LINEAR INTERPOLATION OF TRAVEL DISTANCE CHECK=((VY+G)/G)*(1.0-EXP(-TRAVELT)) ! COMPUTE THEORETICAL SOLUTION *VWRITE,CHECK,TRAVELT,TRAVELD ('TRAVELT=',E10.4,' CHECK=',E10.4,' TRAVELD=',E10.4) *DIM,LABEL,CHAR,2 *DIM,RES,,2,3 LABEL(1) = 'TRAV TM','DIST TRA' *VFILL,RES(1,1),DATA,1.976,86.138 *VFILL,RES(1,2),DATA,TRAVELT,TRAVELD *VFILL,RES(1,3),DATA,(RES(1,2)/RES(1,1)),(RES(2,2)/RES(2,1)) /OUT,vme6,vrt /COM, /COM,-------------------- VME6 DYNA RESULTS COMPARISION -------------------/COM, /COM, | TARGET | ANSYS | RATIO | /COM, *VWRITE,LABEL(1),RES(1,1),RES(1,2),RES(1,3) (1X,A8,' ',F7.4,' ',F7.4,' ',F5.3) /COM, /COM,----------------------------------------------------------------------/OUT *LIST,vme6,vrt /GOPR FINISH

1860


Appendix D. NAFEMS Input Listings This appendix contains all of the input listings for the NAFEMS problems documented in Part IV: NAFEMS Benchmarks (p. 897). VM-P09-t2 188 Input Listing VM-P09-t2 189 Input Listing VM-P09-t4 188 Input Listing VM-P09-t4 189 Input Listing VM-P09-t5 188 Input Listing VM-P09-t5 189 Input Listing VM-P09-t12 181 Input Listing VM-P09-t12 281 Input Listing VM-P09-t15 181 Input Listing VM-P09-t15 281 Input Listing VM-P09-t33 182 Input Listing VM-P09-t33 183 Input Listing VM-P09-t52 181 Input Listing VM-P09-t52 185 Input Listing VM-P09-t52 186 Input Listing VM-P09-t52 187 Input Listing VM-P09-t52 281 Input Listing VM-R020-t1a 183 Input Listing VM-R020-t1b 183 Input Listing VM-R020-t2a 183 Input Listing VM-R020-t2b 183 Input Listing VM-R020-t3a 183 Input Listing VM-R020-t3b 183 Input Listing VM-R020-t3c 183 Input Listing VM-R020-t4a 183 Input Listing VM-R020-t4b 183 Input Listing VM-R020-t5a 183 Input Listing VM-R020-t6a 183 Input Listing VM-R020-t8a 183 Input Listing VM-R020-t8b 183 Input Listing VM-R027-3A 181 Input Listing VM-R027-3A 182 Input Listing VM-R027-3A 183 Input Listing VM-R027-3A 281 Input Listing VM-R027-3B 181 Input Listing VM-R027-3B 182 Input Listing VM-R027-3B 183 Input Listing VM-R027-3B 281 Input Listing VM-R027-4C 181 Input Listing VM-R027-4C 182 Input Listing VM-R027-4C 183 Input Listing VM-R027-4C 281 Input Listing VM-R027-5B 182 Input Listing Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

1861

NAFEMS Input Listings VM-R027-5B 183 Input Listing VM-R027-6B 185 Input Listing VM-R027-6B 186 Input Listing VM-R027-6B 187 Input Listing VM-R027-10A 181 Input Listing VM-R027-10A 182 Input Listing VM-R027-10A 183 Input Listing VM-R027-10A 281 Input Listing VM-R027-10B 181 Input Listing VM-R027-10B 182 Input Listing VM-R027-10B 183 Input Listing VM-R027-10B 281 Input Listing VM-R027-10C 181 Input Listing VM-R027-10C 182 Input Listing VM-R027-10C 183 Input Listing VM-R027-10C 281 Input Listing VM-R027-12B 181 Input Listing VM-R027-12B 182 Input Listing VM-R027-12B 183 Input Listing VM-R027-12B 281 Input Listing VM-R027-12C 181 Input Listing VM-R027-12C 182 Input Listing VM-R027-12C 183 Input Listing VM-R027-12C 281 Input Listing VM-R029-T1 181 Input Listing VM-R029-T1 185 Input Listing VM-R029-T1 188 Input Listing VM-R029-T1 189 Input Listing VM-R029-T1 190 Input Listing VM-R029-T1 281 Input Listing VM-R029-T4 181 Input Listing VM-R029-T4 185 Input Listing VM-R029-T4 188 Input Listing VM-R029-T4 189 Input Listing VM-R029-T4 190 Input Listing VM-R029-T4 281 Input Listing VM-R029-T5 185 Input Listing VM-R029-T5 188 Input Listing VM-R029-T5 189 Input Listing VM-R029-T5 190 Input Listing VM-R029-T7 181 Input Listing VM-R029-T7 185 Input Listing VM-R029-T7 190 Input Listing VM-R029-T7 281 Input Listing VM-R029-T9 181 Input Listing VM-R029-T9 185 Input Listing VM-R029-T9 190 Input Listing VM-R029-T9 281 Input Listing VMR031-T1 281 Input Listing VMR031-T2 281 Input Listing VMR031-T3 181 Input Listing VMR031-T3 281 Input Listing

1862


VMR038-2A 182 Input Listing VMR038-2A 183 Input Listing VMR038-2B 182 Input Listing VMR038-2B 183 Input Listing VMR038-2E 182 Input Listing VMR038-2g 182 Input Listing VMR038-3A 182 Input Listing VMR038-3A 183 Input Listing VMR038-4A 182 Input Listing VMR038-4A 183 Input Listing VMLSB2-LE8 208 Input Listing VMLSB2-LE8 209 Input Listing VMLSB2-LE9 208 Input Listing VMLSB2-LE9 209 Input Listing VMLSB2-LE11 185 Input Listing VMLSB2-LE11 186 Input Listing VM-R049-1A 181 Input Listing VM-R049-1A 182 Input Listing VM-R049-1A 183 Input Listing VM-R049-1A 281 Input Listing VM-R049-1B 181 Input Listing VM-R049-1B 182 Input Listing VM-R049-1B 183 Input Listing VM-R049-1B 281 Input Listing VM-R049-1C 181 Input Listing VM-R049-1C 182 Input Listing VM-R049-1C 183 Input Listing VM-R049-1C 281 Input Listing VM-R049-2 181 Input Listing VM-R049-2 182 Input Listing VM-R049-2 183 Input Listing VM-R049-2 185 Input Listing VM-R049-2 187 Input Listing VM-R049-2 281 Input Listing VM-R049-3 181 Input Listing VM-R049-3 182 Input Listing VM-R049-3 183 Input Listing VM-R049-3 281 Input Listing VM-R049-4 182 Input Listing VM-R049-4 183 Input Listing VM-R049-5 185 Input Listing VM-R049-5 186 Input Listing VM-R049-5 187 Input Listing VM-R049-6 182 Input Listing VM-R049-6 183 Input Listing VM-R049-PL1A 182 Input Listing VM-R049-PL1A 183 Input Listing VM-R049-PL1B 182 Input Listing VM-R049-PL1B 183 Input Listing VM-R049-PL2A 181 Input Listing VM-R049-PL2A 182 Input Listing VM-R049-PL2A 183 Input Listing Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

1863

NAFEMS Input Listings VM-R049-PL2A 281 Input Listing VM-R049-PL2B 181 Input Listing VM-R049-PL2B 182 Input Listing VM-R049-PL2B 281 Input Listing VM-R049-PL3A 185 Input Listing VM-R049-PL3A 186 Input Listing VM-R049-PL3A 187 Input Listing VM-R049-PL3B 185 Input Listing VM-R049-PL3B 186 Input Listing VM-R049-PL3B 187 Input Listing VM-R049-PL3B 190 Input Listing VM-R049-PL5A 182 Input Listing VM-R049-PL5A 183 Input Listing VM-R049-PL5B 182 Input Listing VM-R049-PL5B 183 Input Listing VM-R083-CA1 221 Input Listing VM-R083-CA2 221 Input Listing VMFEBSTA-LE1 181 Input Listing VMFEBSTA-LE5 181 Input Listing VMFEBSTA-LE5 281 Input Listing

VM-P09-t2 188 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMP09-T2-188 /TITLE, VMP09-T2-188,PIN ENDED DOUBLE CROSS: IN-PLANE VIBRATION /COM,NAFEMS EIGENVALUE SET, TEST NO. 2 (LANCZOS) /COM REFERENCE: THE STANDARD NAFEMS BENCHMARKS FVB REPORT:TEST 2(C)

NOVEMBER 1987

/PREP7 ET,1,BEAM188 KEYOPT,1,3,2 ET,2,30 SECTYPE,1,BEAM,RECT SECDATA,0.125,0.125,4,4 MP,EX,1,200E9 MP,NUXY,1,0 MP,DENS,1,8000 DIAG=3.535533906 K,1 K,2,5 K,3,DIAG,DIAG K,4,,5 K,5,-DIAG,DIAG K,6,-5 K,7,-DIAG,-DIAG K,8,,-5 K,9,DIAG,-DIAG L,1,2,4 *REPEAT,8,0,1,0 LMESH,ALL CSYS,1 NSEL,X,4.99,5.01 D,ALL,UX D,ALL,UY NSEL,S,LOC,Z,0 DSYM,SYMM,Z,0 NSEL,ALL CSYS,0 FINISH /out,scratch /SOLU

1864


VM-P09-t2 188 Input Listing LUMPM,ON ANTYPE,2 MODOPT,UNSYM,32 MXPAND,16 SOLVE FINISH /out /POST1 SET,1,1 *GET,F1,FREQ HF1=F1/11.336 SET,1,2 *GET,F2,FREQ HF2=F2/17.709 SET,1,3 *GET,F3,FREQ HF3=F3/17.709 SET,1,4 *GET,F4,FREQ HF4=F4/17.709 SET,1,5 *GET,F5,FREQ HF5=F5/17.709 SET,1,6 *GET,F6,FREQ HF6=F6/17.709 SET,1,7 *GET,F7,FREQ HF7=F7/17.709 SET,1,8 *GET,F8,FREQ HF8=F8/17.709 SET,1,9 *GET,F9,FREQ HF9=F9/45.345 SET,1,10 *GET,F10,FREQ HF10=F10/57.390 SET,1,11 *GET,F11,FREQ HF11=F11/57.390 SET,1,12 *GET,F12,FREQ HF12=F12/57.390 SET,1,13 *GET,F13,FREQ HF13=F13/57.390 SET,1,14 *GET,F14,FREQ HF14=F14/57.390 SET,1,15 *GET,F15,FREQ HF15=F15/57.390 SET,1,16 *GET,F16,FREQ HF16=F16/57.390 /GOPR *STATUS,PARM FINISH *DIM,VALUE,,10,3 *DIM,VALUE2,,6,3 *DIM,LABEL,CHAR,10 *DIM,LABEL2,CHAR,10 LABEL(1) = 'FREQ 1','FREQ 2', 'FREQ 3', 'FREQ 4', 'FREQ 5', 'FREQ 6','FREQ 7','FREQ 8','FREQ 9','FREQ 10' LABEL2(1) = 'FREQ 11','FREQ 12','FREQ 13','FREQ 14','FREQ 15','FREQ 16' *VFILL,VALUE(1,1),DATA,11.336,17.709,17.709,17.709,17.709,17.709,17.709,17.709,45.345,57.390 *VFILL,VALUE2(1,1),DATA,57.390,57.390,57.390,57.390,57.390,57.390 *VFILL,VALUE(1,2),DATA,F1,F2,F3,F4,F5,F6,F7,F8,F9,F10 *VFILL,VALUE2(1,2),DATA,F11,F12,F13,F14,F15,F16 *VFILL,VALUE(1,3),DATA,HF1,HF2,HF3,HF4,HF5,HF6,HF7,HF8,HF9,HF10 *VFILL,VALUE2(1,3),DATA,HF11,HF12,HF13,HF14,HF15,HF16 /COM


1865

NAFEMS Input Listings /COM,--------- VMP09-T2-188 RESULTS COMPARISON----------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F14.3,' ',1F15.3) *VWRITE,LABEL2(1), VALUE2(1,1), VALUE2(1,2), VALUE2(1,3) (1X,A8,' ',F8.3,' ',F14.3,' ',1F15.3) FINISH /POST26 *DIM,LABEL1,CHAR,1 *DIM,LABEL4,CHAR,8 *DIM,VALUE1,,6,3 LABEL1(1) = ' MODE' LABEL4(1) = '1','2,3','4,5,6,7,','8','9','10,11','12,13,14',',15,16' *VFILL,VALUE1(1,1),DATA,F1,F3,F8,F9,F11,F16 *VFILL,VALUE1(1,2),DATA,HF1,HF3,HF8,HF9,HF11,HF16 *DIM,LABEL3,CHAR,2 LABEL3(1) = 'vmp09-t2','-188' /OUT,vmp09-t2-188,vrt /COM /COM,------------------- VMP09-T2 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, BEAM188 *VWRITE,LABEL1(1),LABEL4(1),VALUE1(1,1),VALUE1(1,2),LABEL3(1),LABEL3(2) (1X,A5,A1,' ',F13.4,' ',F9.4,' ',A8,A4) *VWRITE,LABEL1(1),LABEL4(2),VALUE1(2,1),VALUE1(2,2),LABEL3(1),LABEL3(2) (1X,A5,A3,' ',F13.4,' ',F9.4,' ',A8,A4) *VWRITE,LABEL1(1),LABEL4(3),LABEL4(4),VALUE1(3,1),VALUE1(3,2),LABEL3(1),LABEL3(2) (1X,A5,A8,A1,' ',F13.4,' ',F9.4,' ',A8,A4) *VWRITE,LABEL1(1),LABEL4(5),VALUE1(4,1),VALUE1(4,2),LABEL3(1),LABEL3(2) (1X,A5,A1,' ',F13.4,' ',F9.4,' ',A8,A4) *VWRITE,LABEL1(1),LABEL4(6),VALUE1(5,1),VALUE1(5,2),LABEL3(1),LABEL3(2) (1X,A5,A5,' ',F13.4,' ',F9.4,' ',A8,A4) *VWRITE,LABEL1(1),LABEL4(7),LABEL4(8),VALUE1(6,1),VALUE1(6,2),LABEL3(1),LABEL3(2) (1X,A5,A8,A6,' ',F13.4,' ',F9.4,' ',A8,A4) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmp09-t2-188,vrt

VM-P09-t2 189 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMP09-T2-189 /TITLE, VMP09-T2-189,PIN ENDED DOUBLE CROSS: IN-PLANE VIBRATION /COM,NAFEMS EIGENVALUE SET, TEST NO. 2 (LANCZOS) /COM REFERENCE: THE STANDARD NAFEMS BENCHMARKS FVB REPORT:TEST 2(C)

NOVEMBER 1987

/PREP7 ET,1,BEAM189 ET,2,30 SECTYPE,1,BEAM,RECT SECDATA,0.125,0.125,4,4 MP,EX,1,200E9 MP,NUXY,1,0 MP,DENS,1,8000 DIAG=3.535533906 K,1 K,2,5 K,3,DIAG,DIAG K,4,,5

1866


VM-P09-t2 189 Input Listing K,5,-DIAG,DIAG K,6,-5 K,7,-DIAG,-DIAG K,8,,-5 K,9,DIAG,-DIAG L,1,2,4 *REPEAT,8,0,1,0 LMESH,ALL CSYS,1 NSEL,X,4.99,5.01 D,ALL,UX D,ALL,UY NSEL,S,LOC,Z,0 DSYM,SYMM,Z,0 NSEL,ALL CSYS,0 FINISH /out,scratch /SOLU LUMPM,ON ANTYPE,2 MODOPT,UNSYM,32 MXPAND,16 SOLVE FINISH /out /POST1 SET,1,1 *GET,F1,FREQ HF1=F1/11.336 SET,1,2 *GET,F2,FREQ HF2=F2/17.709 SET,1,3 *GET,F3,FREQ HF3=F3/17.709 SET,1,4 *GET,F4,FREQ HF4=F4/17.709 SET,1,5 *GET,F5,FREQ HF5=F5/17.709 SET,1,6 *GET,F6,FREQ HF6=F6/17.709 SET,1,7 *GET,F7,FREQ HF7=F7/17.709 SET,1,8 *GET,F8,FREQ HF8=F8/17.709 SET,1,9 *GET,F9,FREQ HF9=F9/45.345 SET,1,10 *GET,F10,FREQ HF10=F10/57.390 SET,1,11 *GET,F11,FREQ HF11=F11/57.390 SET,1,12 *GET,F12,FREQ HF12=F12/57.390 SET,1,13 *GET,F13,FREQ HF13=F13/57.390 SET,1,14 *GET,F14,FREQ HF14=F14/57.390 SET,1,15 *GET,F15,FREQ HF15=F15/57.390


1867

NAFEMS Input Listings SET,1,16 *GET,F16,FREQ HF16=F16/57.390 /GOPR *STATUS,PARM FINISH *DIM,VALUE,,10,3 *DIM,VALUE2,,6,3 *DIM,LABEL,CHAR,10 *DIM,LABEL2,CHAR,10 LABEL(1) = 'FREQ 1','FREQ 2', 'FREQ 3', 'FREQ 4', 'FREQ 5', 'FREQ 6','FREQ 7','FREQ 8','FREQ 9','FREQ 10' LABEL2(1) = 'FREQ 11','FREQ 12','FREQ 13','FREQ 14','FREQ 15','FREQ 16' *VFILL,VALUE(1,1),DATA,11.336,17.709,17.709,17.709,17.709,17.709,17.709,17.709,45.345,57.390 *VFILL,VALUE2(1,1),DATA,57.390,57.390,57.390,57.390,57.390,57.390 *VFILL,VALUE(1,2),DATA,F1,F2,F3,F4,F5,F6,F7,F8,F9,F10 *VFILL,VALUE2(1,2),DATA,F11,F12,F13,F14,F15,F16 *VFILL,VALUE(1,3),DATA,HF1,HF2,HF3,HF4,HF5,HF6,HF7,HF8,HF9,HF10 *VFILL,VALUE2(1,3),DATA,HF11,HF12,HF13,HF14,HF15,HF16 /COM /COM,--------- VMP09-T2-189 RESULTS COMPARISON----------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F14.3,' ',1F15.3) *VWRITE,LABEL2(1), VALUE2(1,1), VALUE2(1,2), VALUE2(1,3) (1X,A8,' ',F8.3,' ',F14.3,' ',1F15.3) FINISH /POST26 *DIM,LABEL1,CHAR,1 *DIM,LABEL4,CHAR,8 *DIM,VALUE1,,6,3 LABEL1(1) = ' MODE' LABEL4(1) = '1','2,3','4,5,6,7,','8','9','10,11','12,13,14',',15,16' *VFILL,VALUE1(1,1),DATA,F1,F3,F8,F9,F11,F16 *VFILL,VALUE1(1,2),DATA,HF1,HF3,HF8,HF9,HF11,HF16 *DIM,LABEL3,CHAR,1 *DIM,LABEL5,CHAR,1 LABEL3(1) = 'vmp09-t2' LABEL5(1) = '-189' /OUT,vmp09-t2-189,vrt /COM /COM,------------------- VMP09-T2 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, BEAM189 *VWRITE,LABEL1(1),LABEL4(1),VALUE1(1,1),VALUE1(1,2),LABEL3(1),LABEL5(1) (1X,A5,A1,' ',F13.4,' ',F9.4,' ',A8,A4) *VWRITE,LABEL1(1),LABEL4(2),VALUE1(2,1),VALUE1(2,2),LABEL3(1),LABEL5(1) (1X,A5,A3,' ',F13.4,' ',F9.4,' ',A8,A4) *VWRITE,LABEL1(1),LABEL4(3),LABEL4(4),VALUE1(3,1),VALUE1(3,2),LABEL3(1),LABEL5(1) (1X,A5,A8,A1,' ',F13.4,' ',F9.4,' ',A8,A4) *VWRITE,LABEL1(1),LABEL4(5),VALUE1(4,1),VALUE1(4,2),LABEL3(1),LABEL5(1) (1X,A5,A1,' ',F13.4,' ',F9.4,' ',A8,A4) *VWRITE,LABEL1(1),LABEL4(6),VALUE1(5,1),VALUE1(5,2),LABEL3(1),LABEL5(1) (1X,A5,A5,' ',F13.4,' ',F9.4,' ',A8,A4) *VWRITE,LABEL1(1),LABEL4(7),LABEL4(8),VALUE1(6,1),VALUE1(6,2),LABEL3(1),LABEL5(1) (1X,A5,A8,A6,' ',F13.4,' ',F9.4,' ',A8,A4) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmp09-t2-189,vrt

1868


VM-P09-t4 188 Input Listing

VM-P09-t4 188 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMP09-T4-188 /TITLE,VMP09-T4-188, CANTILEVER WITH OFF-CENTRE POINT MASSES /COM,REFERENCE: TEST 4 FROM NAFEMS FVB /PREP7 N,1,0.0 N,2,1.0 N,3,2.0 N,4,3.0 N,5,4.0 N,6,5.0 N,7,6.0 N,8,7.0 N,9,8.0 N,10,9.0 N,11,10.0 ET,1,188 SECN,1 N,101,5.0,5.0 N,201,10.0,0.0,5.0 E,1,2,101 E,2,3,101 E,3,4,101 E,4,5,101 E,5,6,101 E,6,7,101 E,7,8,101 E,8,9,101 E,9,10,101 E,10,11,101 SECT,1,BEAM,CSOLID SECD,0.25 MP,EX,1,200E9 MP,NUXY,1,0.3 MP,DENS,1,8000.0 D,1,ALL ET,2,188 TYPE,2 MP,EX,2,1.0E16 MP,NUXY,2,0.0 MP,DENS,2,0.0 MAT,2 REAL,2 SECN,2 SECT,2,BEAM,CSOLID SECD,1.0 N,21,10.0,2.0 N,31,10.0,-2.0 E,11,21,201 E,11,31,201 ET,3,MASS21 TYPE,3 REAL,3 SECN,3 R,3,10000.0,10000.0,10000.0 E,21 ET,4,MASS21 TYPE,4 REAL,4 SECN,4 R,4,1000.0,1000.0,1000.0 E,31 /out,scratch /SOLU ANTYPE,MODAL MODOPT,LANB,6


1869

NAFEMS Input Listings MXPAND,6 LUMPM,ON SOLVE FINISH /out /POST1 *DIM,FREQ,ARRAY,6 *GET,FREQ(1,1),MODE,1,FREQ *GET,FREQ(2,1),MODE,2,FREQ *GET,FREQ(3,1),MODE,3,FREQ *GET,FREQ(4,1),MODE,4,FREQ *GET,FREQ(5,1),MODE,5,FREQ *GET,FREQ(6,1),MODE,6,FREQ R1=FREQ(1,1)/1.723 R2=FREQ(2,1)/1.727 R3=FREQ(3,1)/7.413 R4=FREQ(4,1)/9.971 R5=FREQ(5,1)/18.155 R6=FREQ(6,1)/26.957 *DIM,VALUE,,6,2 *DIM,LABEL,CHAR,6 *DIM,RATIO,,6,1 LABEL(1) = 'FREQ 1','FREQ 2','FREQ 3','FREQ 4','FREQ 5','FREQ 6' *VFILL,VALUE(1,1),DATA,1.723,1.727,7.413,9.972,18.155,26.957 *VFILL,VALUE(1,2),DATA,FREQ(1,1),FREQ(2,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(6,1) *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6 /COM /COM /COM,------------- VMP09-T4-188 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),VALUE(1,1),VALUE(1,2),RATIO(1,1) (1X,A8,' ',F10.3,' ',F14.3,' ',1F13.3) FINISH /POST26 *DIM,LABEL1,CHAR,6 LABEL1(1) = ' MODE1',' MODE2',' MODE3',' MODE4',' MODE5',' MODE6' *DIM,LABEL2,CHAR,6 *DIM,LABEL3,CHAR,6 LABEL2(1) = 'vmp09-t4','vmp09-t4','vmp09-t4','vmp09-t4','vmp09-t4','vmp09-t4' LABEL3(1) = '-188','-188','-188','-188','-188','-188' /OUT,vmp09-t4-188,vrt /COM /COM,-------------------- VMP09-T4 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, BEAM188 *VWRITE,LABEL1(1),VALUE(1,2),RATIO(1,1),LABEL2(1),LABEL3(1) (1X,A8,' ',F12.4,' ',F7.4,' ',A8,A4) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmp09-t4-188,vrt

VM-P09-t4 189 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMP09-T4-189 /TITLE,VMP09-T4-189, CANTILEVER WITH OFF-CENTRE POINT MASSES /COM,REFERENCE: NAFEMS FVB MANUAL TEST 4

1870



/PREP7 N,1,0.0 N,2,1.0 N,3,2.0 N,4,3.0 N,5,4.0 N,6,5.0 N,7,6.0 N,8,7.0 N,9,8.0 N,10,9.0 N,11,10.0 ET,1,189 SECN,1 N,101,5.0,5.0 N,201,10.0,0.0,5.0 E,1,3,2,101 E,3,5,4,101 E,5,7,6,101 E,7,9,8,101 E,9,11,10,101 SECT,1,BEAM,CSOLID SECD,0.25 MP,EX,1,200E9 MP,NUXY,1,0.3 MP,DENS,1,8000.0 D,1,ALL ET,2,188 TYPE,2 MP,EX,2,1.0E16 MP,NUXY,2,0.0 MP,DENS,2,0.0 MAT,2 REAL,2 SECN,2 SECT,2,BEAM,CSOLID SECD,1.0 N,21,10.0,2.0 N,31,10.0,-2.0 E,11,21,201 E,11,31,201 ET,3,MASS21 TYPE,3 REAL,3 SECN,3 R,3,10000.0,10000.0,10000.0 E,21 ET,4,MASS21 TYPE,4 REAL,4 SECN,4 R,4,1000.0,1000.0,1000.0 E,31 FINISH /out,scratch /SOLU ANTYPE,MODAL MODOPT,LANB,6 MXPAND,6 LUMPM,ON SOLVE FINISH /out /POST1 *DIM,FREQ,ARRAY,6 *GET,FREQ(1,1),MODE,1,FREQ *GET,FREQ(2,1),MODE,2,FREQ *GET,FREQ(3,1),MODE,3,FREQ *GET,FREQ(4,1),MODE,4,FREQ *GET,FREQ(5,1),MODE,5,FREQ *GET,FREQ(6,1),MODE,6,FREQ


1871

NAFEMS Input Listings R1=FREQ(1,1)/1.723 R2=FREQ(2,1)/1.727 R3=FREQ(3,1)/7.413 R4=FREQ(4,1)/9.971 R5=FREQ(5,1)/18.155 R6=FREQ(6,1)/26.957 *DIM,VALUE,,6,3 *DIM,RATIO,,6,1 *DIM,LABEL,CHAR,6 LABEL(1) = 'FREQ 1','FREQ 2','FREQ 3','FREQ 4','FREQ 5','FREQ 6' *VFILL,VALUE(1,1),DATA,1.723,1.727,7.413,9.972,18.155,26.957 *VFILL,VALUE(1,2),DATA,FREQ(1,1),FREQ(2,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(6,1) *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6 /COM /COM /COM,-------------- VMP09-T4-189 RESULTS COMPARISON -----------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),VALUE(1,1),VALUE(1,2),RATIO(1,1) (1X,A8,' ',F10.3,' ',F14.3,' ',1F13.3) FINISH /POST26 *DIM,LABEL1,CHAR,6 LABEL1(1) = ' MODE1',' MODE2',' MODE3',' MODE4',' MODE5',' MODE6' *DIM,LABEL2,CHAR,6 *DIM,LABEL3,CHAR,6 LABEL2(1) = 'vmp09-t4','vmp09-t4','vmp09-t4','vmp09-t4','vmp09-t4','vmp09-t4' LABEL3(1) = '-189','-189','-189','-189','-189','-189' /OUT,vmp09-t4-189,vrt /COM /COM,------------------- VMP09-T4 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, BEAM189 *VWRITE,LABEL1(1),VALUE(1,2),RATIO(1,1),LABEL2(1),LABEL3(1) (1X,A8,' ',F12.4,' ',F7.4,' ',A8,A4) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmp09-t4-189,vrt

VM-P09-t5 188 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMP09-T5-188 /TITLE,VMP09-T5-188, DEEP SIMPLY SUPPORTED BEAM /COM,REFERENCE NAFEMS FVB TEST 5 /PREP7 N,1,0.0 N,2,1.0 N,3,2.0 N,4,3.0 N,5,4.0 N,6,5.0 N,7,6.0 N,8,7.0 N,9,8.0 N,10,9.0 N,11,10.0 ET,1,188 SECN,1

1872



N,101,5.0,5.0 E,1,2,101 E,2,3,101 E,3,4,101 E,4,5,101 E,5,6,101 E,6,7,101 E,7,8,101 E,8,9,101 E,9,10,101 E,10,11,101 SECT,1,BEAM,RECT SECD,2.0,2.0,4,4 MP,EX,1,200E9 MP,NUXY,1,0.3 MP,DENS,1,8000.0 D,1,UX D,1,UY D,1,UZ D,1,ROTX D,11,UY D,11,UZ FINISH /out,scratch /SOLU ANTYPE,MODAL MODOPT,LANB,9 MXPAND,9 LUMPM,ON SOLVE FINISH /out /POST1 *DIM,FREQ,ARRAY,9 *GET,FREQ(1,1),MODE,1,FREQ *GET,FREQ(2,1),MODE,2,FREQ *GET,FREQ(3,1),MODE,3,FREQ *GET,FREQ(4,1),MODE,4,FREQ *GET,FREQ(5,1),MODE,5,FREQ *GET,FREQ(6,1),MODE,6,FREQ *GET,FREQ(7,1),MODE,7,FREQ *GET,FREQ(8,1),MODE,8,FREQ *GET,FREQ(9,1),MODE,9,FREQ R1=FREQ(1,1)/42.650 R2=FREQ(2,1)/42.650 R3=FREQ(3,1)/71.200 R4=FREQ(4,1)/125.000 R5=FREQ(5,1)/148.150 R6=FREQ(6,1)/148.150 R7=FREQ(7,1)/213.610 R8=FREQ(8,1)/283.470 R9=FREQ(9,1)/283.470 *DIM,VALUE,,9,2 *DIM,LABEL,CHAR,9 *DIM,RATIO,,9,1 LABEL(1) = 'FREQ 1','FREQ 2','FREQ 3','FREQ 4','FREQ 5','FREQ 6','FREQ 7','FREQ 8','FREQ 9' *VFILL,VALUE(1,1),DATA,42.650,42.650,71.200,125.000,148.150,148.150,213.610,283.470,283.470 *VFILL,VALUE(1,2),DATA,FREQ(1,1),FREQ(2,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(6,1),FREQ(7,1),FREQ(8,1),FREQ(9,1) *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /COM, /COM /COM,------------- VMP09-T5-188 RESULTS COMPARISON ------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),VALUE(1,1),VALUE(1,2),RATIO(1,1) (1X,A8,' ',F10.3,' ',F15.3,' ',1F8.3) FINISH /POST26 *DIM,LABEL1,CHAR,6 *DIM,LABEL3,CHAR,6


1873

NAFEMS Input Listings LABEL1(1) = ' MODE',' MODE',' MODE',' MODE',' MODE',' MODE' LABEL3(1) = '1,2','3','4','5,6','7','8,9' *DIM,VALUE1,,6,3 *VFILL,VALUE1(1,1),DATA,FREQ(2,1),FREQ(3,1),FREQ(4,1),FREQ(6,1),FREQ(7,1),FREQ(9,1) *VFILL,VALUE1(1,2),DATA,R2,R3,R4,R6,R7,R9 *DIM,LABEL2,CHAR,6 *DIM,LABEL4,CHAR,6 LABEL2(1) = 'vmp09-t5','vmp09-t5','vmp09-t5','vmp09-t5','vmp09-t5','vmp09-t5' LABEL4(1) = '-188','-188','-188','-188','-188','-188' /OUT,vmp09-t5-188,vrt /COM /COM,------------------- VMP09-T5 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, BEAM188 *VWRITE,LABEL1(1),LABEL3(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL4(1) (1X,A5,A3,' ',F13.3,' ',F9.4,' ',A8,A4) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmp09-t5-188,vrt

VM-P09-t5 189 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMP09-T5-189 /TITLE,VMP09-T5-189, DEEP SIMPLY-SUPPORTED BEAM /COM,REFERENCE: NAFEMS FVB MANUAL TEST 5 /PREP7 N,1,0.0 N,2,1.0 N,3,2.0 N,4,3.0 N,5,4.0 N,6,5.0 N,7,6.0 N,8,7.0 N,9,8.0 N,10,9.0 N,11,10.0 ET,1,189 SECN,1 N,101,5.0,5.0 E,1,3,2,101 E,3,5,4,101 E,5,7,6,101 E,7,9,8,101 E,9,11,10,101 SECT,1,BEAM,RECT SECD,2.0,2.0 MP,EX,1,200E9 MP,NUXY,1,0.3 MP,DENS,1,8000.0 D,1,UX D,1,UY D,1,UZ D,1,ROTX D,11,UY D,11,UZ FINISH /out,scratch /SOLU ANTYPE,MODAL

1874


VM-P09-t5 189 Input Listing MODOPT,LANB,9 MXPAND,9 LUMPM,ON SOLVE FINISH /out /POST1 *DIM,FREQ,ARRAY,9 *GET,FREQ(1,1),MODE,1,FREQ *GET,FREQ(2,1),MODE,2,FREQ *GET,FREQ(3,1),MODE,3,FREQ *GET,FREQ(4,1),MODE,4,FREQ *GET,FREQ(5,1),MODE,5,FREQ *GET,FREQ(6,1),MODE,6,FREQ *GET,FREQ(7,1),MODE,7,FREQ *GET,FREQ(8,1),MODE,8,FREQ *GET,FREQ(9,1),MODE,9,FREQ R1=FREQ(1,1)/42.650 R2=FREQ(2,1)/42.650 R3=FREQ(3,1)/71.200 R4=FREQ(4,1)/125.000 R5=FREQ(5,1)/148.150 R6=FREQ(6,1)/148.150 R7=FREQ(7,1)/213.610 R8=FREQ(8,1)/283.470 R9=FREQ(9,1)/283.470

*DIM,VALUE,,9,2 *DIM,RATIO,,9,1 *DIM,LABEL,CHAR,9 LABEL(1) = 'FREQ 1','FREQ 2','FREQ 3','FREQ 4','FREQ 5','FREQ 6','FREQ 7','FREQ 8','FREQ 9' *VFILL,VALUE(1,1),DATA,42.650,42.650,71.200,125.000,148.150,148.150,213.610,283.470,283.470 *VFILL,VALUE(1,2),DATA,FREQ(1,1),FREQ(2,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(6,1),FREQ(7,1),FREQ(8,1),FREQ(9,1) *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /COM, /COM, /COM,-------------- VMP09-T5-189 RESULTS COMPARISON -----------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),VALUE(1,1),VALUE(1,2),RATIO(1,1) (1X,A8,' ',F10.3,' ',F15.3,' ',1F8.3) FINISH /POST26 *DIM,LABEL1,CHAR,6 *DIM,LABEL3,CHAR,6 LABEL1(1) = ' MODE',' MODE',' MODE',' MODE',' MODE',' MODE' LABEL3(1) = '1,2','3','4','5,6','7','8,9' *DIM,VALUE1,,6,2 *VFILL,VALUE1(1,1),DATA,FREQ(2,1),FREQ(3,1),FREQ(4,1),FREQ(6,1),FREQ(7,1),FREQ(9,1) *VFILL,VALUE1(1,2),DATA,R2,R3,R4,R6,R7,R9 *DIM,LABEL2,CHAR,6 LABEL2(1) = 'vmp09-t5','vmp09-t5','vmp09-t5','vmp09-t5','vmp09-t5','vmp09-t5' *DIM,LABEL4,CHAR,6 LABEL4(1) = '-189','-189','-189','-189','-189','-189' /OUT,vmp09-t5-189,vrt /COM /COM,------------------- VMP09-T5 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, BEAM189 *VWRITE,LABEL1(1),LABEL3(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL4(1) (1X,A5,A3,' ',F13.3,' ',F9.4,' ',A8,A4) /COM, /COM,---------------------------------------------------------------/OUT FINISH


1875

NAFEMS Input Listings *LIST,vmp09-t5-189,vrt

VM-P09-t12 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMP09-T12-181 /TITLE,VMP09-T12-181,FREE THIN SQUARE PLATE /COM,REFERENCE: NAFEMS FVB MANUAL TEST 12 /NOPR /PREP7 ET,1,181 SECTYPE,1,SHELL SECDATA,0.05,1,0,3 MP,EX,1,200E9 MP,NUXY,1,0.3 MP,DENS,1,8000 K,1 K,2,10 K,3,10,10 K,4,,10 A,1,2,3,4 ESIZE,,8 AMESH,1 D,ALL,UX,0,0,,,UY,ROTZ FINISH /SOLU ANTYPE,MODAL,NEW MODOPT,LANB,10 MXPAND,10,0,0,0 /OUT,SCRATCH SOLVE /OUT FINISH /POST1 *DIM,FREQ,ARRAY,7 *GET,FREQ(1,1),MODE,4,FREQ *GET,FREQ(2,1),MODE,5,FREQ *GET,FREQ(3,1),MODE,6,FREQ *GET,FREQ(4,1),MODE,7,FREQ *GET,FREQ(5,1),MODE,8,FREQ *GET,FREQ(6,1),MODE,9,FREQ *GET,FREQ(7,1),MODE,10,FREQ R1=FREQ(1,1)/1.622 R2=FREQ(2,1)/2.36 R3=FREQ(3,1)/2.922 R4=FREQ(4,1)/4.233 R5=FREQ(5,1)/4.233 R6=FREQ(6,1)/7.416 R7=FREQ(7,1)/8.027 *DIM,VALUE,,7,2 *DIM,LABEL,CHAR,10 *DIM,RATIO,,7,1 LABEL(1) = 'FREQ 4','FREQ 5','FREQ 6','FREQ 7','FREQ 8','FREQ 9','FREQ 10' *VFILL,VALUE(1,1),DATA,1.622,2.36,2.922,4.233,4.233,7.416,8.027 *VFILL,VALUE(1,2),DATA,FREQ(1,1),FREQ(2,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(6,1),FREQ(7,1) *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6,R7 /COM /COM,------------- VMP09-T12-181 RESULTS COMPARISON -----------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),VALUE(1,1),VALUE(1,2),RATIO(1,1) (1X,A8,' ',F10.3,' ',F14.3,' ',1F13.3) FINISH /POST26

1876


VM-P09-t12 281 Input Listing *DIM,LABEL1,CHAR,6 *DIM,VALUE1,,6,2 LABEL1(1) = ' MODE4',' MODE5',' MODE6',' MODE7,8',' MODE9',' MODE10' *VFILL,VALUE1(1,1),DATA,FREQ(1,1),FREQ(2,1),FREQ(3,1),FREQ(5,1),FREQ(6,1),FREQ(7,1) *VFILL,VALUE1(1,2),DATA,R1,R2,R3,R5,R6,R7 *DIM,LABEL2,CHAR,6 *DIM,LABEL3,CHAR,6 LABEL2(1) = 'vmp09-t1','vmp09-t1','vmp09-t1','vmp09-t1','vmp09-t1','vmp09-t1' LABEL3(1) = '2-181','2-181','2-181','2-181','2-181','2-181' /OUT,vmp09-t12-181,vrt /COM /COM,------------------- VMP09-T12 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL181 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL3(1) (1X,A8,' ',F13.3,' ',F9.4,' ',A8,A5) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmp09-t12-181,vrt

VM-P09-t12 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMP09-T12-281 /TITLE,VMP09-T12-281,FREE THIN SQUARE PLATE /COM,REFERENCE: NAFEMS FVB MANUAL TEST 12 /NOPR /PREP7 ET,1,281 SECTYPE,1,SHELL SECDATA,0.05,1,0,3 MP,EX,1,200E9 MP,NUXY,1,0.3 MP,DENS,1,8000 K,1 K,2,10 K,3,10,10 K,4,,10 A,1,2,3,4 ESIZE,,8 AMESH,1 D,ALL,UX,0,0,,,UY,ROTZ FINISH /SOLU ANTYPE,MODAL,NEW MODOPT,LANB,10 MXPAND,10,0,0,0 /OUT,SCRATCH SOLVE /OUT FINISH /POST1 *DIM,FREQ,ARRAY,7 *GET,FREQ(1,1),MODE,4,FREQ *GET,FREQ(2,1),MODE,5,FREQ *GET,FREQ(3,1),MODE,6,FREQ *GET,FREQ(4,1),MODE,7,FREQ *GET,FREQ(5,1),MODE,8,FREQ *GET,FREQ(6,1),MODE,9,FREQ *GET,FREQ(7,1),MODE,10,FREQ R1=FREQ(1,1)/1.622 R2=FREQ(2,1)/2.36


1877

NAFEMS Input Listings R3=FREQ(3,1)/2.922 R4=FREQ(4,1)/4.233 R5=FREQ(5,1)/4.233 R6=FREQ(6,1)/7.416 R7=FREQ(7,1)/8.027 *DIM,VALUE,,7,2 *DIM,LABEL,CHAR,10 *DIM,RATIO,,7,1 LABEL(1) = 'FREQ 4','FREQ 5','FREQ 6','FREQ 7','FREQ 8','FREQ 9','FREQ 10' *VFILL,VALUE(1,1),DATA,1.622,2.36,2.922,4.233,4.233,7.416,8.027 *VFILL,VALUE(1,2),DATA,FREQ(1,1),FREQ(2,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(6,1),FREQ(7,1) *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6,R7 /COM /COM,------------- VMP09-T12-281 RESULTS COMPARISON -----------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),VALUE(1,1),VALUE(1,2),RATIO(1,1) (1X,A8,' ',F10.3,' ',F14.3,' ',1F13.3) FINISH /POST26 *DIM,LABEL1,CHAR,6 *DIM,VALUE1,,6,2 LABEL1(1) = ' MODE4',' MODE5',' MODE6',' MODE7,8',' MODE9',' MODE10' *VFILL,VALUE1(1,1),DATA,FREQ(1,1),FREQ(2,1),FREQ(3,1),FREQ(5,1),FREQ(6,1),FREQ(7,1) *VFILL,VALUE1(1,2),DATA,R1,R2,R3,R5,R6,R7 *DIM,LABEL2,CHAR,6 *DIM,LABEL3,CHAR,6 LABEL2(1) = 'vmp09-t1','vmp09-t1','vmp09-t1','vmp09-t1','vmp09-t1','vmp09-t1' LABEL3(1) = '2-281','2-281','2-281','2-281','2-281','2-281' /OUT,vmp09-t12-281,vrt /COM /COM,------------------- VMP09-T12 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL281 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL3(1) (1X,A8,' ',F13.3,' ',F9.4,' ',A8,A5) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmp09-t12-281,vrt

VM-P09-t15 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMP09-T15-181 /TITLE,VMP09-T15-181, CLAMPED THIN RHOMBIC PLATE /COM,REFERENCE NAFEMS FVB MANUAL TEST 15 /PREP7 MP,EX,1,2.000000000E+11, MP,NUXY,1,0.300000000 MP,DENS,1,8000.00000 LOCAL,11,0,10,0,0,45,0,0,1,1 CSCIR, 11, 0, 0 LOCAL,12,0,0,0,0,45,0,0,1,1 CSCIR, 12, 0, 0 ET,1,181,,,2 R,1,0.5E-01 CSYS,12 K,1,0,0,0 K,4,10,0,0 CSYS,11 K,2,0,0,0 K,3,10,0,0

1878


VM-P09-t15 181 Input Listing CSYS,0 A,1,2,3,4 LESIZE,ALL,,,12 AMESH,1 D,ALL,UX,0 D,ALL,UY,0 D,ALL,ROTZ,0 NSLL,S,1 D,ALL,ROTX,0 D,ALL,ROTY,0 D,ALL,UZ,0 ALLSEL,ALL FINISH /out,scratch /SOLU OUTRES,ALL,ALL, ANTYPE,MODAL MODOPT,LANB,22 MXPAND,8 SOLVE FINISH /out /POST1 *DIM,FREQ,ARRAY,6 *GET,FREQ(1,1),MODE,1,FREQ *GET,FREQ(2,1),MODE,2,FREQ *GET,FREQ(3,1),MODE,3,FREQ *GET,FREQ(4,1),MODE,4,FREQ *GET,FREQ(5,1),MODE,5,FREQ *GET,FREQ(6,1),MODE,6,FREQ R1=FREQ(1,1)/7.938 R2=FREQ(2,1)/12.835 R3=FREQ(3,1)/17.941 R4=FREQ(4,1)/19.133 R5=FREQ(5,1)/24.009 R6=FREQ(6,1)/27.922 *DIM,VALUE,,6,2 *DIM,LABEL,CHAR,6 *DIM,RATIO,,6,1 LABEL(1) = 'FREQ 1','FREQ 2','FREQ 3','FREQ 4','FREQ 5','FREQ 6' *VFILL,VALUE(1,1),DATA,7.938,12.835,17.941,19.133,24.009,27.922 *VFILL,VALUE(1,2),DATA,FREQ(1,1),FREQ(2,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(6,1) *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6 /COM, /COM,------------- VMP09-T15-181 RESULTS COMPARISON ----------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),VALUE(1,1),VALUE(1,2),RATIO(1,1) (1X,A8,' ',F10.3,' ',F14.3,' ',1F13.3) FINISH /POST26 *DIM,LABEL1,CHAR,6 LABEL1(1) = ' MODE1',' MODE2',' MODE3',' MODE4',' MODE5',' MODE6' *DIM,LABEL2,CHAR,6 *DIM,LABEL3,CHAR,6 LABEL2(1) = 'vmp09-t1','vmp09-t1','vmp09-t1','vmp09-t1','vmp09-t1','vmp09-t1' LABEL3(1) = '5-181','5-181','5-181','5-181','5-181','5-181' /OUT,vmp09-t15-181,vrt /COM /COM,------------------- VMP09-T15 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL181 *VWRITE,LABEL1(1),VALUE(1,2),RATIO(1,1),LABEL2(1),LABEL3(1) (1X,A8,' ',F13.4,' ',F9.4,' ',A8,A5) /COM, /COM,---------------------------------------------------------------/OUT


1879

NAFEMS Input Listings FINISH *LIST,vmp09-t15-181,vrt

VM-P09-t15 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMP09-T15-281 /TITLE,VMP09-T15-281, CLAMPED THIN RHOMBIC PLATE /COM,REFERENCE NAFEMS FVB MANUAL TEST 15 /PREP7 MP,EX,1,2.000000000E+11, MP,NUXY,1,0.300000000 MP,DENS,1,8000.00000 LOCAL,11,0,10,0,0,45,0,0,1,1 CSCIR, 11, 0, 0 LOCAL,12,0,0,0,0,45,0,0,1,1 CSCIR, 12, 0, 0 ET,1,281 R,1,0.5E-01 CSYS,12 K,1,0,0,0 K,4,10,0,0 CSYS,11 K,2,0,0,0 K,3,10,0,0 CSYS,0 A,1,2,3,4 LESIZE,ALL,,,12 AMESH,1 D,ALL,UX,0 D,ALL,UY,0 D,ALL,ROTZ,0 NSLL,S,1 D,ALL,ROTX,0 D,ALL,ROTY,0 D,ALL,UZ,0 ALLSEL,ALL FINISH /out,scratch /SOLU OUTRES,ALL,ALL, ANTYPE,MODAL MODOPT,LANB,22 MXPAND,8 SOLVE FINISH /out /POST1 *DIM,FREQ,ARRAY,6 *GET,FREQ(1,1),MODE,1,FREQ *GET,FREQ(2,1),MODE,2,FREQ *GET,FREQ(3,1),MODE,3,FREQ *GET,FREQ(4,1),MODE,4,FREQ *GET,FREQ(5,1),MODE,5,FREQ *GET,FREQ(6,1),MODE,6,FREQ R1=FREQ(1,1)/7.938 R2=FREQ(2,1)/12.835 R3=FREQ(3,1)/17.941 R4=FREQ(4,1)/19.133 R5=FREQ(5,1)/24.009 R6=FREQ(6,1)/27.922 *DIM,VALUE,,6,2 *DIM,LABEL,CHAR,6 *DIM,RATIO,,6,1 LABEL(1) = 'FREQ 1','FREQ 2','FREQ 3','FREQ 4','FREQ 5','FREQ 6' *VFILL,VALUE(1,1),DATA,7.938,12.835,17.941,19.133,24.009,27.922 *VFILL,VALUE(1,2),DATA,FREQ(1,1),FREQ(2,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(6,1) *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6

1880


VM-P09-t33 182 Input Listing /COM, /COM,------------- VMP09-T15-281 RESULTS COMPARISON ----------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),VALUE(1,1),VALUE(1,2),RATIO(1,1) (1X,A8,' ',F10.3,' ',F14.3,' ',1F13.3) FINISH /POST26 *DIM,LABEL1,CHAR,6 LABEL1(1) = ' MODE1',' MODE2',' MODE3',' MODE4',' MODE5',' MODE6' *DIM,LABEL2,CHAR,6 *DIM,LABEL3,CHAR,6 LABEL2(1) = 'vmp09-t1','vmp09-t1','vmp09-t1','vmp09-t1','vmp09-t1','vmp09-t1' LABEL3(1) = '5-281','5-281','5-281','5-281','5-281','5-281' /OUT,vmp09-t15-281,vrt /COM /COM,------------------- VMP09-T15 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL281 *VWRITE,LABEL1(1),VALUE(1,2),RATIO(1,1),LABEL2(1),LABEL3(1) (1X,A8,' ',F13.4,' ',F9.4,' ',A8,A5) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmp09-t15-281,vrt

VM-P09-t33 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMP09-T33-182 /TITLE, VMP09-T33-182, FREE ANNULAR MEMBRANE /COM,REFERENCE NAFEMS FVB MANUAL TEST 33 /PREP7 ETYP=182 RDIV=3 CDIV=16 ET,1,ETYP MP,EX,1,200E9 MP,NUXY,1,.3 MP,DENS,1,8000 CSYS,1 K,1,1.8 K,2,6 K,3,6,90 K,4,1.8,90 L,1,2,RDIV L,2,3,(CDIV/4) L,3,4,RDIV L,4,1,(CDIV/4) ESIZ,,,2 A,1,2,3,4 AMESH,1 CSYS,0 ARSYM,1,1 ARSYM,2,1,2 NUMMRG,ALL FINISH /SOLU ANTYPE,MODAL MODOPT,SUBSPACE,14 MXPAND,14 RIGID,ALL


1881

NAFEMS Input Listings /OUT,SCRATCH SOLVE FINISH /POST1 *DIM,FREQ,ARRAY,14 *GET,FREQ(1,1),MODE,1,FREQ *GET,FREQ(2,1),MODE,2,FREQ *GET,FREQ(3,1),MODE,3,FREQ *GET,FREQ(4,1),MODE,4,FREQ *GET,FREQ(5,1),MODE,5,FREQ *GET,FREQ(6,1),MODE,6,FREQ *GET,FREQ(7,1),MODE,7,FREQ *GET,FREQ(8,1),MODE,8,FREQ *GET,FREQ(9,1),MODE,9,FREQ *GET,FREQ(10,1),MODE,10,FREQ *GET,FREQ(11,1),MODE,11,FREQ *GET,FREQ(12,1),MODE,12,FREQ *GET,FREQ(13,1),MODE,13,FREQ *GET,FREQ(14,1),MODE,14,FREQ R1=1.00 R2=1.00 R3=1.00 R4=FREQ(4,1)/129.240 R5=FREQ(5,1)/129.240 R6=FREQ(6,1)/226.17 R7=FREQ(7,1)/234.74 R8=FREQ(8,1)/234.74 R9=FREQ(9,1)/264.66 R10=FREQ(10,1)/264.66 R11=FREQ(11,1)/336.61 R12=FREQ(12,1)/336.61 R13=FREQ(13,1)/376.79 R14=FREQ(14,1)/376.79 *DIM,VALUE,,7,4 *DIM,RATIO,,7,2 *DIM,LABEL,CHAR,7 *DIM,LABEL2,CHAR,7 LABEL(1)='FREQ 1','FREQ 2','FREQ 3','FREQ 4','FREQ 5','FREQ 6','FREQ 7' LABEL2(1)='FREQ 8','FREQ 9','FREQ 10','FREQ 11','FREQ 12','FREQ 13','FREQ 14' *VFILL,VALUE(1,1),DATA,0,0,0,129.240,129.240,226.170,234.740, *VFILL,VALUE(1,2),DATA,234.740,264.660,264.660,336.610,336.610,376.790,376.790 *VFILL,VALUE(1,3),DATA,FREQ(1,1),FREQ(2,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(6,1),FREQ(7,1) *VFILL,VALUE(1,4),DATA,FREQ(8,1),FREQ(9,1),FREQ(10,1),FREQ(11,1),FREQ(12,1),FREQ(13,1),FREQ(14,1) *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6,R7 *VFILL,RATIO(1,2),DATA,R8,R9,R10,R11,R12,R13,R14 /OUT, /COM, /COM, /COM,------------- VMP09-T33-182 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),VALUE(1,1),VALUE(1,3),RATIO(1,1) (1X,A8,' ',F10.3,' ',F14.3,' ',1F14.3) *VWRITE,LABEL2(1),VALUE(1,2),VALUE(1,4),RATIO(1,2) (1X,A8,' ',F10.3,' ',F14.3,' ',1F14.3) FINISH /POST26 *DIM,LABEL1,CHAR,6 *DIM,LABEL4,CHAR,6 *DIM,VALUE1,,6,2 LABEL1(1) = ' MODE',' MODE',' MODE',' MODE',' MODE',' MODE' LABEL4(1) = '4,5','6','7,8','9,10','11,12','13,14' *VFILL,VALUE1(1,1),DATA,FREQ(5,1),FREQ(6,1),FREQ(8,1),FREQ(10,1),FREQ(12,1),FREQ(14,1) *VFILL,VALUE1(1,2),DATA,R5,R6,R8,R10,R12,R14 *DIM,LABEL3,CHAR,6 *DIM,LABEL5,CHAR,6 LABEL3(1) = 'vmp09-t3','vmp09-t3','vmp09-t3','vmp09-t3','vmp09-t3','vmp09-t3' LABEL5(1) = '3-182','3-182','3-182','3-182','3-182','3-182',

1882



/OUT,vmp09-t33-182,vrt /COM /COM,------------------- VMP09-T33 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 *VWRITE,LABEL1(1),LABEL4(1),VALUE1(1,1),VALUE1(1,2),LABEL3(1),LABEL5(1) (1X,A5,A5,' ',F13.3,' ',F7.3,' ',A8,A5) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmp09-t33-182,vrt

VM-P09-t33 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMP09-T33-183 /TITLE, VMP09-T33-183, FREE ANNULAR MEMBRANE /COM,REFERENCE NAFEMS FVB MANUAL TEST 33 /PREP7 $SMRT,OFF ETYP=183 RDIV=3 CDIV=16 ET,1,ETYP MP,EX,1,200E9 MP,NUXY,1,.3 MP,DENS,1,8000 CSYS,1 K,1,1.8 K,2,6 K,3,6,90 K,4,1.8,90 L,1,2,RDIV L,2,3,(CDIV/4) L,3,4,RDIV L,4,1,(CDIV/4) ESIZ,,,2 A,1,2,3,4 AMESH,1 CSYS,0 ARSYM,1,1 ARSYM,2,1,2 NUMMRG,ALL FINISH /SOLU ANTYPE,MODAL MODOPT,LANB,14 MXPAND,14 RIGID,ALL /OUT,SCRATCH SOLVE FINISH /POST1 *DIM,FREQ,ARRAY,14 *GET,FREQ(1,1),MODE,1,FREQ *GET,FREQ(2,1),MODE,2,FREQ *GET,FREQ(3,1),MODE,3,FREQ *GET,FREQ(4,1),MODE,4,FREQ *GET,FREQ(5,1),MODE,5,FREQ *GET,FREQ(6,1),MODE,6,FREQ *GET,FREQ(7,1),MODE,7,FREQ


1883

NAFEMS Input Listings *GET,FREQ(8,1),MODE,8,FREQ *GET,FREQ(9,1),MODE,9,FREQ *GET,FREQ(10,1),MODE,10,FREQ *GET,FREQ(11,1),MODE,11,FREQ *GET,FREQ(12,1),MODE,12,FREQ *GET,FREQ(13,1),MODE,13,FREQ *GET,FREQ(14,1),MODE,14,FREQ R1=1.00 R2=1.00 R3=1.00 R4=FREQ(4,1)/129.240 R5=FREQ(5,1)/129.240 R6=FREQ(6,1)/226.17 R7=FREQ(7,1)/234.74 R8=FREQ(8,1)/234.74 R9=FREQ(9,1)/264.66 R10=FREQ(10,1)/264.66 R11=FREQ(11,1)/336.61 R12=FREQ(12,1)/336.61 R13=FREQ(13,1)/376.79 R14=FREQ(14,1)/376.79 *DIM,VALUE,,7,4 *DIM,RATIO,,7,2 *DIM,LABEL,CHAR,7 *DIM,LABEL2,CHAR,7 LABEL(1)='FREQ 1','FREQ 2','FREQ 3','FREQ 4','FREQ 5','FREQ 6','FREQ 7' LABEL2(1)='FREQ 8','FREQ 9','FREQ 10','FREQ 11','FREQ 12','FREQ 13','FREQ 14' *VFILL,VALUE(1,1),DATA,0,0,0,129.240,129.240,226.170,234.740, *VFILL,VALUE(1,2),DATA,234.740,264.660,264.660,336.610,336.610,376.790,376.790 *VFILL,VALUE(1,3),DATA,FREQ(1,1),FREQ(2,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(6,1),FREQ(7,1) *VFILL,VALUE(1,4),DATA,FREQ(8,1),FREQ(9,1),FREQ(10,1),FREQ(11,1),FREQ(12,1),FREQ(13,1),FREQ(14,1) *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6,R7 *VFILL,RATIO(1,2),DATA,R8,R9,R10,R11,R12,R13,R14 /OUT, /COM, /COM, /COM,------------- VMP09-T33-183 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),VALUE(1,1),VALUE(1,3),RATIO(1,1) (1X,A8,' ',F10.3,' ',F14.3,' ',1F13.3) *VWRITE,LABEL2(1),VALUE(1,2),VALUE(1,4),RATIO(1,2) (1X,A8,' ',F10.3,' ',F14.3,' ',1F13.3) FINISH /POST26 *DIM,LABEL1,CHAR,6 *DIM,LABEL4,CHAR,6 *DIM,VALUE1,,6,2 LABEL1(1) = ' MODE',' MODE',' MODE',' MODE',' MODE',' MODE' LABEL4(1) = '4,5','6','7,8','9,10','11,12','13,14' *VFILL,VALUE1(1,1),DATA,FREQ(5,1),FREQ(6,1),FREQ(8,1),FREQ(10,1),FREQ(12,1),FREQ(14,1) *VFILL,VALUE1(1,2),DATA,R5,R6,R8,R10,R12,R14 *DIM,LABEL3,CHAR,6 *DIM,LABEL5,CHAR,6 LABEL3(1) = 'vmp09-t3','vmp09-t3','vmp09-t3','vmp09-t3','vmp09-t3','vmp09-t3' LABEL5(1) = '3-183','3-183','3-183','3-183','3-183','3-183', /OUT,vmp09-t33-183,vrt /COM /COM,------------------- VMP09-T33 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 *VWRITE,LABEL1(1),LABEL4(1),VALUE1(1,1),VALUE1(1,2),LABEL3(1),LABEL5(1) (1X,A5,A5,' ',F13.3,' ',F7.3,' ',A8,A5) /COM, /COM,---------------------------------------------------------------/OUT

1884



FINISH *LIST,vmp09-t33-183,vrt

VM-P09-t52 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMP09-T52-181 /TITLE,VMP09-T52-181, SIMPLY SUPPORTED SOLID SQUARE PLATE /COM,REFERENCE: NAFEMS FVB MANUAL TEST 52 /PREP7 ET,1,181,,,2 R,1,1.0 MP,EX,1,200E9 MP,NUXY,1,0.3 MP,DENS,1,8000.0 RECT,0,10,0,10 ESIZE,,20 AMESH, ALL FINISH /out,scratch /SOLU ANTYPE,MODAL NSEL,,LOC,X,0.0,0.0001 D,ALL,UZ NSEL,,LOC,Y,0.0,0.00001 D,ALL,UZ NSEL,,LOC,X,10 D,ALL,UZ NSEL,,LOC,Y,10 D,ALL,UZ NSEL,ALL MODOPT,LANB,10, SOLVE FINISH /out /POST1 *DIM,FREQ,ARRAY,10 *GET,FREQ(1,1),MODE,4,FREQ *GET,FREQ(2,1),MODE,5,FREQ *GET,FREQ(3,1),MODE,6,FREQ *GET,FREQ(4,1),MODE,7,FREQ *GET,FREQ(5,1),MODE,8,FREQ *GET,FREQ(6,1),MODE,9,FREQ *GET,FREQ(7,1),MODE,10,FREQ R1=FREQ(1,1)/45.897 R2=FREQ(2,1)/109.44 R3=FREQ(3,1)/109.44 R4=FREQ(4,1)/167.59 R5=FREQ(5,1)/193.59 R6=FREQ(6,1)/206.19 R7=FREQ(7,1)/206.19 *DIM,VALUE,,7,2 *DIM,LABEL,CHAR,10 *DIM,RATIO,,7,2 LABEL(1) = 'FREQ 4','FREQ 5','FREQ 6','FREQ 7','FREQ 8','FREQ 9','FREQ 10' *VFILL,VALUE(1,1),DATA,45.897,109.44,109.44,167.89,193.59,206.19,206.19 *VFILL,VALUE(1,2),DATA,FREQ(1,1),FREQ(2,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(6,1),FREQ(7,1) *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6,R7 /COM /COM,-------------- VMP09-T52-181 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),VALUE(1,1),VALUE(1,2),RATIO(1,1)


1885

NAFEMS Input Listings (1X,A8,' FINISH

',F10.3,'

',F15.3,'

',1F8.3)

/POST26 *DIM,LABEL1,CHAR,5 *DIM,VALUE1,,5,3 *DIM,LABEL3,CHAR,5 LABEL1(1) = ' MODE',' MODE',' MODE',' MODE',' MODE' LABEL3(1) = '4','5,6','7','8','9,10' *VFILL,VALUE1(1,1),DATA,FREQ(1,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(7,1) *VFILL,VALUE1(1,2),DATA,R1,R3,R4,R5,R7 *DIM,LABEL2,CHAR,5 *DIM,LABEL4,CHAR,5 LABEL2(1) = 'vmp09-t5','vmp09-t5','vmp09-t5','vmp09-t5','vmp09-t5' LABEL4(1) = '2-181','2-181','2-181','2-181','2-181' /OUT,vmp09-t52-181,vrt /COM /COM,------------------- VMP09-T52 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL181 *VWRITE,LABEL1(1),LABEL3(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL4(1) (1X,A5,A5,' ',F13.3,' ',F9.4,' ',A8,A5) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmp09-t52-181,vrt

VM-P09-t52 185 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMP09-T52-185 /TITLE,VMP09-T52-185,SIMPLY SUPPORTED SOLID SQUARE PLATE /COM,REFERENCE: NAFEMS FVB MANUAL TEST 52 /NOPR /PREP7 BLOCK,0,10,0,10,0,1, ET,1,185 MP,EX,1,200E9 MP,NUXY,1,0.3 MP,DENS,1,8000.0 MSHAPE,0,3D MSHKEY,1 LESIZE,ALL,,,10,,,,,1 VMESH, ALL FINISH /SOLU ANTYPE,MODAL NSEL,,LOC,Z,0.049999,0.050011 NSEL,,LOC,X,0.0,0.0001 D,ALL,UZ NSEL,,LOC,Z,0.049999,0.050011 NSEL,,LOC,Y,0.0,0.00001 D,ALL,UZ NSEL,,LOC,Z,0.049999,0.050011 NSEL,,LOC,X,10 D,ALL,UZ NSEL,,LOC,Z,0.049999,0.050011 NSEL,,LOC,Y,10 D,ALL,UZ NSEL,ALL MODOPT,LANB,10,

1886


VM-P09-t52 185 Input Listing /OUT,SCRATCH SOLVE /OUT FINISH /POST1 *DIM,FREQ,ARRAY,10 *GET,FREQ(1,1),MODE,4,FREQ *GET,FREQ(2,1),MODE,5,FREQ *GET,FREQ(3,1),MODE,6,FREQ *GET,FREQ(4,1),MODE,7,FREQ *GET,FREQ(5,1),MODE,8,FREQ *GET,FREQ(6,1),MODE,9,FREQ *GET,FREQ(7,1),MODE,10,FREQ R1=FREQ(1,1)/45.897 R2=FREQ(2,1)/109.44 R3=FREQ(3,1)/109.44 R4=FREQ(4,1)/167.89 R5=FREQ(5,1)/193.59 R6=FREQ(6,1)/206.19 R7=FREQ(7,1)/206.9 *DIM,VALUE,,7,2 *DIM,LABEL,CHAR,10 *DIM,RATIO,,7,1 LABEL(1) = 'FREQ 4','FREQ 5','FREQ 6','FREQ 7','FREQ 8','FREQ 9','FREQ 10' *VFILL,VALUE(1,1),DATA,45.897,109.44,109.44,167.89,193.59,206.19,206.19 *VFILL,VALUE(1,2),DATA,FREQ(1,1),FREQ(2,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(6,1),FREQ(7,1) *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6,R7 /COM /COM,-------------- VMP09-T52-185 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),VALUE(1,1),VALUE(1,2),RATIO(1,1) (1X,A8,' ',F10.3,' ',F15.3,' ',1F8.3) FINISH /POST26 *DIM,LABEL1,CHAR,5 *DIM,VALUE1,,5,3 *DIM,LABEL3,CHAR,5 LABEL1(1) = ' MODE',' MODE',' MODE',' MODE',' MODE' LABEL3(1) = '4','5,6','7','8','9,10' *VFILL,VALUE1(1,1),DATA,FREQ(1,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(7,1) *VFILL,VALUE1(1,2),DATA,R1,R3,R4,R5,R7 *DIM,LABEL2,CHAR,5 *DIM,LABEL4,CHAR,5 LABEL2(1) = 'vmp09-t5','vmp09-t5','vmp09-t5','vmp09-t5','vmp09-t5' LABEL4(1) = '2-185','2-185','2-185','2-185','2-185' /OUT,vmp09-t52-185,vrt /COM /COM,------------------- VMP09-T52 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SOLID185 *VWRITE,LABEL1(1),LABEL3(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL4(1) (1X,A5,A5,' ',F13.3,' ',F9.4,' ',A8,A5) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmp09-t52-185,vrt


1887

NAFEMS Input Listings

VM-P09-t52 186 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMP09-T52-186 /TITLE,VMP09-T52-186, SIMPLY-SUPPORTED SOLID SQUARE PLATE /COM, SELECTED BENCHMARKS FOR NATURAL FREQUENCY ANALYSIS /COM, JUNE 1987, TEST 52 /PREP7 N1=4 N2=1 ET,1,186 MP,EX,1,200E9 MP,NUXY,1,.3 MP,DENS,1,8000 K,1 K,2,10 K,3,10,10 K,4,,10 KGEN,2,1,4,1,,,1 L,1,5,N2 *REP,4,1,1 V,1,2,3,4,5,6,7,8 ESIZE,,N1 VMESH,1 NSEL,S,LOC,Y,0 NSEL,R,LOC,Z,0 D,ALL,UZ,0 NSEL,S,LOC,X,0 NSEL,R,LOC,Z,0 D,ALL,UZ,0 NSEL,S,LOC,Y,10 NSEL,R,LOC,Z,0 D,ALL,UZ,0 NSEL,S,LOC,X,10 NSEL,R,LOC,Z,0 D,ALL,UZ,0 NSEL,ALL FINISH /out,scratch /SOLU ANTYPE,MODAL MODOPT,SUBSPACE,20 MXPAND,10 SOLVE FINISH /out /POST1 *DIM,FREQ,ARRAY,10 *GET,FREQ(1,1),MODE,4,FREQ *GET,FREQ(2,1),MODE,5,FREQ *GET,FREQ(3,1),MODE,6,FREQ *GET,FREQ(4,1),MODE,7,FREQ *GET,FREQ(5,1),MODE,8,FREQ *GET,FREQ(6,1),MODE,9,FREQ *GET,FREQ(7,1),MODE,10,FREQ R1=FREQ(1,1)/45.897 R2=FREQ(2,1)/109.44 R3=FREQ(3,1)/109.44 R4=FREQ(4,1)/167.89 R5=FREQ(5,1)/193.59 R6=FREQ(6,1)/206.19 R7=FREQ(7,1)/206.19 *DIM,VALUE,,7,2 *DIM,LABEL,CHAR,10 *DIM,RATIO,,7,1 LABEL(1) = 'FREQ 4','FREQ 5','FREQ 6','FREQ 7','FREQ 8','FREQ 9','FREQ 10' *VFILL,VALUE(1,1),DATA,45.897,109.44,109.44,167.89,193.59,206.19,206.19 *VFILL,VALUE(1,2),DATA,FREQ(1,1),FREQ(2,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(6,1),FREQ(7,1)

1888


VM-P09-t52 186 Input Listing *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6,R7 FINISH /PREP7 ET,1,186 LUMPM,ON FINISH /out,scratch /SOLU SOLVE FINISH /out /POST1 *DIM,FREQ1,ARRAY,10 *GET,FREQ1(1,1),MODE,4,FREQ *GET,FREQ1(2,1),MODE,5,FREQ *GET,FREQ1(3,1),MODE,6,FREQ *GET,FREQ1(4,1),MODE,7,FREQ *GET,FREQ1(5,1),MODE,8,FREQ *GET,FREQ1(6,1),MODE,9,FREQ *GET,FREQ1(7,1),MODE,10,FREQ R8=FREQ1(1,1)/45.897 R9=FREQ1(2,1)/109.44 R10=FREQ1(3,1)/109.44 R11=FREQ1(4,1)/167.89 R12=FREQ1(5,1)/193.59 R13=FREQ1(6,1)/206.19 R14=FREQ1(7,1)/206.19 *DIM,VALUE1,,7,2 *DIM,LABEL1,CHAR,10 *DIM,RATIO1,,7,1 LABEL1(1) = 'FREQ 4','FREQ 5','FREQ 6','FREQ 7','FREQ 8','FREQ 9','FREQ 10' *VFILL,VALUE1(1,1),DATA,45.897,109.44,109.44,167.89,193.59,206.19,206.19 *VFILL,VALUE1(1,2),DATA,FREQ1(1,1),FREQ1(2,1),FREQ1(3,1),FREQ1(4,1),FREQ1(5,1),FREQ1(6,1), FREQ1(7,1) *VFILL,RATIO1(1,1),DATA,R8,R9,R10,R11,R12,R13,R14 /COM, /COM,------------ VMP09-T52-186 RESULTS COMPARISON ---------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),VALUE(1,1),VALUE(1,2),RATIO(1,1) (1X,A8,' ',F10.3,' ',F15.3,' ',1F8.3) /COM /COM,---------------- LUMPED MASS RESULTS -------------------/COM /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),RATIO1(1,1) (1X,A8,' ',F10.3,' ',F15.3,' ',1F8.3) FINISH /POST26 *DIM,LABEL3,CHAR,5 *DIM,LABEL4,CHAR,5 *DIM,VALUE2,,5,3 LABEL3(1) = ' MODE',' MODE',' MODE',' MODE',' MODE' LABEL4(1) = '4','5,6','7','8','9,10' *VFILL,VALUE2(1,1),DATA,FREQ(1,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(7,1) *VFILL,VALUE2(1,2),DATA,R1,R3,R4,R5,R7 *DIM,LABEL2,CHAR,5 *DIM,LABEL5,CHAR,5 LABEL2(1) = 'vmp09-t5','vmp09-t5','vmp09-t5','vmp09-t5','vmp09-t5' LABEL5(1) = '2-186','2-186','2-186','2-186','2-186' /OUT,vmp09-t52-186,vrt /COM /COM,------------------- VMP09-T52 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SOLID186 *VWRITE,LABEL3(1),LABEL4(1),VALUE2(1,1),VALUE2(1,2),LABEL2(1),LABEL5(1)


1889

NAFEMS Input Listings (1X,A5,A5,' ',F13.3,' ',F9.4,' ',A8,A5) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmp09-t52-186,vrt

VM-P09-t52 187 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMP09-T52-187 /TITLE,VMP09-T52-187, SIMPLY-SUPPORTED SOLID SQUARE PLATE /COM, SELECTED BENCHMARKS FOR NATURAL FREQUENCY ANALYSIS /COM, JUNE 1987, TEST 52 /PREP7 N1=4 N2=1 ET,1,187 MP,EX,1,200E9 MP,NUXY,1,.3 MP,DENS,1,8000 K,1 K,2,10 K,3,10,10 K,4,,10 KGEN,2,1,4,1,,,1 L,1,5,N2 *REP,4,1,1 V,1,2,3,4,5,6,7,8 ESIZE,,N1 VMESH,1 NSEL,S,LOC,Y,0 NSEL,R,LOC,Z,0 D,ALL,UZ,0 NSEL,S,LOC,X,0 NSEL,R,LOC,Z,0 D,ALL,UZ,0 NSEL,S,LOC,Y,10 NSEL,R,LOC,Z,0 D,ALL,UZ,0 NSEL,S,LOC,X,10 NSEL,R,LOC,Z,0 D,ALL,UZ,0 NSEL,ALL FINISH /out,scratch /SOLVE ANTYPE,MODAL MODOPT,LANB,20 MXPAND,10 SOLVE FINISH /out /POST1 *DIM,FREQ,ARRAY,10 *GET,FREQ(1,1),MODE,4,FREQ *GET,FREQ(2,1),MODE,5,FREQ *GET,FREQ(3,1),MODE,6,FREQ *GET,FREQ(4,1),MODE,7,FREQ *GET,FREQ(5,1),MODE,8,FREQ *GET,FREQ(6,1),MODE,9,FREQ *GET,FREQ(7,1),MODE,10,FREQ R1=FREQ(1,1)/45.897 R2=FREQ(2,1)/109.44 R3=FREQ(3,1)/109.44 R4=FREQ(4,1)/167.89

1890


VM-P09-t52 187 Input Listing R5=FREQ(5,1)/193.59 R6=FREQ(6,1)/206.19 R7=FREQ(7,1)/206.19 *DIM,VALUE,,7,2 *DIM,LABEL,CHAR,10 *DIM,RATIO,,7,1 LABEL(1) = 'FREQ 4','FREQ 5','FREQ 6','FREQ 7','FREQ 8','FREQ 9','FREQ 10' *VFILL,VALUE(1,1),DATA,45.897,109.44,109.44,167.89,193.59,206.19,206.19 *VFILL,VALUE(1,2),DATA,FREQ(1,1),FREQ(2,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(6,1),FREQ(7,1) *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6,R7 FINISH /PREP7 ET,1,187 LUMPM,ON FINISH /out,scratch /SOLU SOLVE FINISH /out /POST1 *DIM,FREQ1,ARRAY,10 *GET,FREQ1(1,1),MODE,4,FREQ *GET,FREQ1(2,1),MODE,5,FREQ *GET,FREQ1(3,1),MODE,6,FREQ *GET,FREQ1(4,1),MODE,7,FREQ *GET,FREQ1(5,1),MODE,8,FREQ *GET,FREQ1(6,1),MODE,9,FREQ *GET,FREQ1(7,1),MODE,10,FREQ R8=FREQ1(1,1)/45.897 R9=FREQ1(2,1)/109.44 R10=FREQ1(3,1)/109.44 R11=FREQ1(4,1)/167.89 R12=FREQ1(5,1)/193.59 R13=FREQ1(6,1)/206.19 R14=FREQ1(7,1)/206.19 *DIM,VALUE1,,7,2 *DIM,LABEL1,CHAR,10 *DIM,RATIO1,,7,1 LABEL1(1) = 'FREQ 4','FREQ 5','FREQ 6','FREQ 7','FREQ 8','FREQ 9','FREQ 10' *VFILL,VALUE1(1,1),DATA,45.897,109.44,109.44,167.89,193.59,206.19,206.19 *VFILL,VALUE1(1,2),DATA,FREQ1(1,1),FREQ1(2,1),FREQ1(3,1),FREQ1(4,1),FREQ1(5,1),FREQ1(6,1), FREQ1(7,1) *VFILL,RATIO1(1,1),DATA,R8,R9,R10,R11,R12,R13,R14 /COM, /COM,------------ VMP09-T52-187 RESULTS COMPARISON ---------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),VALUE(1,1),VALUE(1,2),RATIO(1,1) (1X,A8,' ',F10.3,' ',F15.3,' ',1F8.3) /COM /COM,---------------- LUMPED MASS RESULTS -------------------/COM /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),RATIO1(1,1) (1X,A8,' ',F10.3,' ',F15.3,' ',1F8.3) FINISH /POST26 *DIM,LABEL3,CHAR,5 *DIM,VALUE2,,5,3 *DIM,LABEL4,CHAR,5 LABEL3(1) = ' MODE',' MODE',' MODE',' MODE',' MODE' LABEL4(1) = '4','5,6','7','8','9,10' *VFILL,VALUE2(1,1),DATA,FREQ(1,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(7,1), *VFILL,VALUE2(1,2),DATA,R1,R3,R4,R5,R7 *DIM,LABEL2,CHAR,5 *DIM,LABEL5,CHAR,5 LABEL2(1) = 'vmp09-t5','vmp09-t5','vmp09-t5','vmp09-t5','vmp09-t5' LABEL5(1) = '2-187','2-187','2-187','2-187','2-187'


1891


/OUT,vmp09-t52-187,vrt /COM /COM,------------------- VMP09-T52 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SOLID187 *VWRITE,LABEL3(1),LABEL4(1),VALUE2(1,1),VALUE2(1,2),LABEL2(1),LABEL5(1) (1X,A5,A5,' ',F13.3,' ',F9.4,' ',A8,A5) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmp09-t52-187,vrt

VM-P09-t52 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMP09-T52-281 /TITLE,VMP09-T52-281, SIMPLY SUPPORTED SOLID SQUARE PLATE /COM,REFERENCE: NAFEMS FVB MANUAL TEST 52 /PREP7 ET,1,SHELL281 R,1,1.0 MP,EX,1,200E9 MP,NUXY,1,0.3 MP,DENS,1,8000.0 RECT,0,10,0,10 ESIZE,,20 AMESH, ALL FINISH /out,scratch /SOLU ANTYPE,MODAL NSEL,,LOC,X,0.0,0.0001 D,ALL,UZ NSEL,,LOC,Y,0.0,0.00001 D,ALL,UZ NSEL,,LOC,X,10 D,ALL,UZ NSEL,,LOC,Y,10 D,ALL,UZ NSEL,ALL MODOPT,LANB,10, SOLVE FINISH /out /POST1 *DIM,FREQ,ARRAY,10 *GET,FREQ(1,1),MODE,4,FREQ *GET,FREQ(2,1),MODE,5,FREQ *GET,FREQ(3,1),MODE,6,FREQ *GET,FREQ(4,1),MODE,7,FREQ *GET,FREQ(5,1),MODE,8,FREQ *GET,FREQ(6,1),MODE,9,FREQ *GET,FREQ(7,1),MODE,10,FREQ R1=FREQ(1,1)/45.897 R2=FREQ(2,1)/109.44 R3=FREQ(3,1)/109.44 R4=FREQ(4,1)/167.59 R5=FREQ(5,1)/193.59 R6=FREQ(6,1)/206.19 R7=FREQ(7,1)/206.19 *DIM,VALUE,,7,2 *DIM,LABEL,CHAR,10 *DIM,RATIO,,7,2

1892


VM-R020-t1a 183 Input Listing LABEL(1) = 'FREQ 4','FREQ 5','FREQ 6','FREQ 7','FREQ 8','FREQ 9','FREQ 10' *VFILL,VALUE(1,1),DATA,45.897,109.44,109.44,167.89,193.59,206.19,206.19 *VFILL,VALUE(1,2),DATA,FREQ(1,1),FREQ(2,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(6,1),FREQ(7,1) *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6,R7 /COM /COM,-------------- VMP09-T52-281 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),VALUE(1,1),VALUE(1,2),RATIO(1,1) (1X,A8,' ',F10.3,' ',F15.3,' ',1F8.3) FINISH /POST26 *DIM,LABEL1,CHAR,5 *DIM,VALUE1,,5,3 *DIM,LABEL3,CHAR,5 LABEL1(1) = ' MODE',' MODE',' MODE',' MODE',' MODE' LABEL3(1) = '4','5,6','7','8','9,10' *VFILL,VALUE1(1,1),DATA,FREQ(1,1),FREQ(3,1),FREQ(4,1),FREQ(5,1),FREQ(7,1) *VFILL,VALUE1(1,2),DATA,R1,R3,R4,R5,R7 *DIM,LABEL2,CHAR,5 *DIM,LABEL4,CHAR,5 LABEL2(1) = 'vmp09-t5','vmp09-t5','vmp09-t5','vmp09-t5','vmp09-t5' LABEL4(1) = '2-281','2-281','2-281','2-281','2-281' /OUT,vmp09-t52-281,vrt /COM /COM,------------------- VMP09-T52 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL281 *VWRITE,LABEL1(1),LABEL3(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL4(1) (1X,A5,A5,' ',F13.3,' ',F9.4,' ',A8,A5) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmp09-t52-281,vrt

VM-R020-t1a 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vmr020-t1a-183 /title,vmr020-t1a-183,Centre Cracked Plate in Tension /com, /com, Problem is taken from NAFEMS Publication /com, "2D Test Cases in Linear Elastic Fracture Mechanics" /com, Test case 1.1 /com, /com, Reference: Rooke D P and Cartwright D J : Compendium /com, of stress intensity factors, HMSO, London, England (1976) /com, /com, ********************************************************** /com, Stress Intensity Factor Calculation using Interaction /com, Integral Approach /prep7 E=207000 NU=0.3 sig=100 pi=3.141593 a=10 et,1,plane183 keyopt,1,3,2 mp,ex,1,e mp,nuxy,1,nu

! youngs modulus ! poissons ratio ! surface load ! crack length ! plane 183 element ! plane strain


1893


k,1,-10,0 k,2,0,0 k,3,10,0 k,4,10,10 k,5,10,20 k,6,-10,20 k,7,-10,10 l,1,2 *rep,6,1,1 l,7,1 l,4,7 al,1,2,3,8,7 al,4,5,6,8 esize,1 kscon,2,1,1,4,0.75 amesh,1 esize,2 amesh,2 fini

!crack tip elements

/solu autots,on nsubst,10 outres,all,all nsel,s,loc,y,0 nsel,r,loc,x,0,10 d,all,uy,0 nsel,s,loc,x,-10 nsel,r,loc,y,0,20 d,all,ux,0 nsel,all lsel,s,line,,5 sfl,all,press,-sig lsel,all nsel,s,loc,y,0 nsel,r,loc,x,0 cm,crack1,node nsel,all cint,new,1 cint,type,sifs cint,ctnc,crack1 cint,ncon,4 cint,symm,on cint,norm,0,2 cint,list allsel,all solve fini

! define the crack tip node component

! ! ! !

Calculate Stress Intensity factor crack ID number of countours symmetry on

/out,scratch /post1 prcint,1 ! Get the J1,J2,J3 values *get,k1_1,cint,1,ctip,node(0,0,0),,1,dtype,k1 *get,k1_2,cint,1,ctip,node(0,0,0),,2,dtype,k1 *get,k1_3,cint,1,ctip,node(0,0,0),,3,dtype,k1 *get,k1_4,cint,1,ctip,node(0,0,0),,4,dtype,k1 k1=(k1_2+k1_3+k1_4)/3 *stat,k1 con1 = ((pi*a)**0.5) k0=(sig*con1) norm_sif=k1/k0 /out, *status,norm_sif

*DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI'

1894


VM-R020-t1a 183 Input Listing *VFILL,VALUE(1,1),DATA,1.325 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/1.325 ) SAVE,TABLE_1 FINI /CLEAR,NOSTART /com,************************************************************* /com, Using J integral Calculation /prep7 E=207000 NU=0.3 sig=100 pi=3.141593 a=10 et,1,plane183 keyopt,1,3,2 mp,ex,1,e mp,nuxy,1,nu

! youngs modulus ! poissons ratio ! surface load ! crack length ! plane 183 element ! plane strain

k,1,-10,0 k,2,0,0 k,3,10,0 k,4,10,10 k,5,10,20 k,6,-10,20 k,7,-10,10 l,1,2 *rep,6,1,1 l,7,1 l,4,7 al,1,2,3,8,7 al,4,5,6,8 esize,1 kscon,2,1,1,4,0.75 amesh,1 esize,2 amesh,2 fini /solu autots,on nsubst,10 outres,all,all nsel,s,loc,y,0 nsel,r,loc,x,0,10 d,all,uy,0 nsel,s,loc,x,-10 nsel,r,loc,y,0,20 d,all,ux,0 nsel,all lsel,s,line,,5 sfl,all,press,-sig lsel,all nsel,s,loc,y,0 nsel,r,loc,x,0 cm,crack1,node nsel,all cint,new,1 cint,ctnc,crack1 cint,ncon,4 cint,symm,on cint,norm,0,2 cint,list allsel,all solve fini

! mesh crack tip elements


! crack ID ! number of countours ! symmetry on


1895

NAFEMS Input Listings /out,scratch /post1 prcint,1 ! Get the J1,J2,J3 values *get,j1,cint,1,ctip,node(0,0,0),,1,, *get,j2,cint,1,ctip,node(0,0,0),,2,, *get,j3,cint,1,ctip,node(0,0,0),,3,, *get,j4,cint,1,ctip,node(0,0,0),,4,, jc1 =(abs(j1)+abs(j2)+abs(j3)+abs(j4))/4 *stat,jc1 con1 = ((pi*a)**0.5) con2 = E/(1-(nu*nu)) k1 = ((con2*jc1)**0.5) k0=(sig*con1) norm_sif=k1/k0 /out, *status,norm_sif *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,1.325 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/1.325 ) SAVE,TABLE_2

/NOPR /COM /OUT,vmr020-t1a-183,vrt /COM,------------------- vmr020-t1a-183 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | MECHANICAL APDL | RATIO /COM, RESUME,TABLE_1 /COM,USING STRESS INTENSITY FACTOR CALCULATION *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, RESUME,TABLE_2 /COM,USING J-INTEGRAL APPROACH /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, /COM,------------------------------------------------------------------------------/OUT FINISH *list,vmr020-t1a-183,vrt

VM-R020-t1b 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vmr020-t1b-183 /title,vmr020-t1b-183,Centre Cracked Plate with Quadratic Thermal Distribution /com, /com, Problem is taken from NAFEMS Publication /com, "2D Test Cases in Linear Elastic Fracture Mechanics" /com, Test case 1.2 /com, /com, Reference: Hellen T K and Cesari F : On the solution of /com, the centre cracked plate with a quadratic thermal gradient /com, Engineering Fracture Mechanics, Vol 12, pp 469-478

1896


VM-R020-t1b 183 Input Listing /com, /com, ********************************************************** /com, Stress Intensity Factor Calculation using Interaction /com, Integral Approach /prep7 e=207000 nu=0.3 alp=1.35e-5 k0=514.3

!youngs modulus !poissons ratio !coefficient of thermal expansion !critical stress intensity factor from nafems manual

et,1,plane183,,,0

!plane183 element

mp,ex,1,e mp,nuxy,1,nu mp,alpx,1,alp mp,reft,1,0 k,1,10,0 k,2,100,0 k,3,100,50 k,4,100,250 k,5,0,250 k,6,0,50 k,7,0,0 l,1,2 *rep,6,1,1 l,7,1 l,6,3 al,1,2,8,6,7 al,3,4,5,8 esize,5 kscon,1,4,1,8,0.75 amesh,1 esize,10 amesh,2 finish

!mesh near crack tip

/solu autots,on nsubst,10 outres,all,all nsel,s,loc,x,10,100 nsel,r,loc,y,0 d,all,uy,0 nsel,all nsel,s,loc,y,0,250 nsel,r,loc,x,0 d,all,ux,0 nsel,all *get,nn,node,0,count !quadratic thermal distribution *do,i,1,nn tt=0.01*nx(i)*nx(i) bf,i,temp,tt *enddo allsel nsel,s,loc,x,10 nsel,r,loc,y,0 cm,crack1,node cint,new,1 cint,type,sifs ! Calculate stress intensity factor cint,ctnc,crack1 !crack ID cint,ncon,4 !number of contours cint,symm,on !symmetry on


1897

NAFEMS Input Listings cint,norm,0,2 cint,list allsel,all solve finish /out,scratch /post1 prcint,1,,k1 *get,k1_1,cint,1,ctip,node(10,0,0),,1,dtype,k1 *get,k1_2,cint,1,ctip,node(10,0,0),,2,dtype,k1 *get,k1_3,cint,1,ctip,node(10,0,0),,3,dtype,k1 *get,k1_4,cint,1,ctip,node(10,0,0),,4,dtype,k1 k1=(k1_2+k1_3+k1_4)/3 *stat,k1 norm_sif=k1/k0 /out, *stat,norm_sif *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,1 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/1 ) SAVE,TABLE_1 FINI /CLEAR,NOSTART /com,************************************************************* /com, Using J integral Calculation

/prep7 e=207000 nu=0.3 alp=1.35e-5 k0=514.3

!youngs modulus !poissons ratio !coefficient of thermal expansion !critical stress intensity factor from nafems manual

et,1,plane183,,,0

!plane183 element

mp,ex,1,e mp,nuxy,1,nu mp,alpx,1,alp mp,reft,1,0 k,1,10,0 k,2,100,0 k,3,100,50 k,4,100,250 k,5,0,250 k,6,0,50 k,7,0,0 l,1,2 *rep,6,1,1 l,7,1 l,6,3 al,1,2,8,6,7 al,3,4,5,8 esize,5 kscon,1,4,1,8,0.75 !mesh near crack tip amesh,1 esize,10 amesh,2 finish

1898


VM-R020-t1b 183 Input Listing

/solu autots,on nsubst,10 outres,all,all nsel,s,loc,x,10,100 nsel,r,loc,y,0 d,all,uy,0 nsel,all nsel,s,loc,y,0,250 nsel,r,loc,x,0 d,all,ux,0 nsel,all *get,nn,node,0,count !quadratic thermal distribution *do,i,1,nn tt=0.01*nx(i)*nx(i) bf,i,temp,tt *enddo allsel nsel,s,loc,x,10 nsel,r,loc,y,0 cm,crack1,node cint,new,1 cint,ctnc,crack1 !crack ID cint,ncon,4 !number of contours cint,symm,on !symmetry on cint,norm,0,2 cint,list allsel,all solve finish /out,scratch /post1 prcint,1,, *get,j1,cint,1,ctip,node(10,0,0),,1,, *get,j2,cint,1,ctip,node(10,0,0),,2,, *get,j3,cint,1,ctip,node(10,0,0),,3,, *get,j4,cint,1,ctip,node(10,0,0),,4,, j_avg=(abs(j1)+abs(j2)+abs(j3)+abs(j4))/4 con2 = e k1 = ((con2*j_avg)**0.5) *stat,k1 norm_sif=k1/k0 /out, *stat,norm_sif

*DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,1 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/1 ) SAVE,TABLE_2

/NOPR /COM /OUT,vmr020-t1b-183,vrt /COM,------------------- vmr020-t1b-183 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | MECHANICAL APDL | RATIO /COM, RESUME,TABLE_1


1899

NAFEMS Input Listings /COM,USING STRESS INTENSITY FACTOR CALCULATION *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, RESUME,TABLE_2 /COM,USING J-INTEGRAL APPROACH /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, /COM,-------------------------------------------------------------------------------

/OUT FINISH *list,vmr020-t1b-183,vrt

VM-R020-t2a 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vmr020-t2a-183 /title,vmr020-t2a-183,Edge cracked plate with uniform tensile stress /com, /com, Problem is taken from NAFEMS Publication /com, "2D Test Cases in Linear Elastic Fracture Mechanics" /com, Test case 2.1 /com, /com, Reference: Rooke D P and Cartwright D J : Compendium /com, of stress intensity factors, HMSO, London, England (1976) /com, /com, ********************************************************** /com, Stress Intensity Factor Calculation using Interaction /com, Integral Approach /prep7 E=207000 ! youngs modulus NU=0.3 ! poissons ratio sig=100 ! surface load pi=3.141593 a=10 !crack length et,1,plane183 keyopt,1,3,2 mp,ex,1,e mp,nuxy,1,nu

! Plane183 element ! Plane strain element

k,1,-10,, k,2,,, k,3,10,0 k,4,10,10 k,5,-10,10 l,1,2 *rep,4,1,1 l,5,1 al,1,2,3,4,5 esize,10 kscon,2,4,1,4,0.75 amesh,1 finish

! crack tip elements

/solu autots,on

1900


VM-R020-t2a 183 Input Listing nsubst,10 outres,all,all nsel,s,loc,y,0 nsel,r,loc,x,0,10 d,all,uy,0 nsel,r,loc,x,10 d,all,ux,0 nsel,all lsel,s,line,,4 sfl,all,press,-sig lsel,all nsel,s,loc,y,0 nsel,r,loc,x,0 cm,crack1,node nsel,all cint,new,1 cint,type,sifs cint,ctnc,crack1 cint,ncon,3 cint,symm,on cint,norm,0,2 cint,list allsel,all solve fini


! ! ! !

calculate stress intensity factors crack ID number of countours symmetry on

/out,scratch /post1 prcint,1,,k1 *get,k_1,cint,1,ctip,node(0,0,0),,1,dtype,k1 *get,k_2,cint,1,ctip,node(0,0,0),,2,dtype,k1 *get,k_3,cint,1,ctip,node(0,0,0),,3,dtype,k1 con1 = ((pi*a)**0.5) k1=(k_1+k_2+k_3)/3 k0=(sig*con1) norm_sif=k1/k0 /out, *stat,norm_sif *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,3 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/3 ) SAVE,TABLE_1 FINI /CLEAR,NOSTART /com,************************************************************* /com, Using J integral Calculation /prep7 E=207000 ! youngs modulus NU=0.3 ! poissons ratio sig=100 ! surface load pi=3.141593 a=10 !crack length et,1,plane183 keyopt,1,3,2 mp,ex,1,e mp,nuxy,1,nu

! Plane183 element ! Plane strain element

k,1,-10,, k,2,,, k,3,10,0 k,4,10,10 k,5,-10,10


1901


l,1,2 *rep,4,1,1 l,5,1 al,1,2,3,4,5

esize,10 kscon,2,4,1,4,0.75 amesh,1


fini

/solu autots,on nsubst,10 outres,all,all nsel,s,loc,y,0 nsel,r,loc,x,0,10 d,all,uy,0 nsel,r,loc,x,10 d,all,ux,0 nsel,all lsel,s,line,,4 sfl,all,press,-sig lsel,all nsel,s,loc,y,0 nsel,r,loc,x,0 cm,crack1,node nsel,all cint,new,1 cint,ctnc,crack1 cint,ncon,3 cint,symm,on cint,norm,0,2 cint,list allsel,all solve fini



/out,scratch /post1 prcint,1 ! Get the J1,J2,J3 values *get,j1,cint,1,ctip,node(0,0,0),,1,, *get,j2,cint,1,ctip,node(0,0,0),,2,, *get,j3,cint,1,ctip,node(0,0,0),,3,, jc1 =(abs(j1)+abs(j2)+abs(j3))/3 *stat,jc1 con1 = ((pi*a)**0.5) con2 = E/(1-(nu*nu)) K1 = ((con2*jc1)**0.5) k0=(sig*con1) norm_sif = K1/k0 /out, *status,norm_sif *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,3 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/3 ) SAVE,TABLE_2 /NOPR /COM /OUT,vmr020-t2a-183,vrt /COM,------------------- vmr020-t2a-183 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | MECHANICAL APDL | RATIO

1902


VM-R020-t2b 183 Input Listing /COM, RESUME,TABLE_1 /COM,USING STRESS INTENSITY FACTOR CALCULATION *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, RESUME,TABLE_2 /COM,USING J-INTEGRAL APPROACH /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, /COM,------------------------------------------------------------------------------/OUT FINISH *list,vmr020-t2a-183,vrt

VM-R020-t2b 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vmr020-t2b-183 /title,vmr020-t2b-183,Edge cracked plate with uniform normal displacement /com, /com, Problem is taken from NAFEMS Publication /com, "2D Test Cases in Linear Elastic Fracture Mechanics" /com, Test case 2.2 /com, /com, Reference: Rooke D P and Cartwright D J : Compendium /com, of stress intensity factors, HMSO, London, England (1976) /com, /com, ********************************************************** /com, Stress Intensity Factor Calculation using Interaction /com, Integral Approach /prep7 E=207000 ! youngs modulus NU=0.3 ! poissons ratio sigma=124.02 pi=3.141593 a=10 ! crack length et,1,plane183,,,2

! plane183 element, plane strain

mp,ex,1,e mp,nuxy,1,nu k,1,-10,, k,2,,, k,3,10,0 k,4,10,10 k,5,-10,10 l,1,2 *rep,4,1,1 l,5,1 al,1,2,3,4,5 esize,10 kscon,2,4,1,4,0.75 amesh,1 fini


/solu


1903

NAFEMS Input Listings autots,on nsubst,10 outres,all,all nsel,s,loc,y,0 nsel,r,loc,x,0,10 d,all,uy,0 nsel,r,loc,x,10 d,all,ux,0 nsel,all nsel,s,loc,y,10 nsel,r,loc,x,-10,10 d,all,uy,0.01 nsel,all nsel,s,loc,y,0 nsel,r,loc,x,0 cm,crack1,node cint,new,1 cint,type,sifs cint,ctnc,crack1 cint,ncon,3 cint,symm,on cint,norm,0,2 cint,list allsel,all solve fini


! ! ! !

calculate stress intensity factors crack ID number of countours symmetry on

/out,scratch /post1 prcint,1,,k1 *get,k_1,cint,1,ctip,node(0,0,0),,1,dtype,k1 *get,k_2,cint,1,ctip,node(0,0,0),,2,dtype,k1 *get,k_3,cint,1,ctip,node(0,0,0),,3,dtype,k1 con1 = ((pi*a)**0.5) k1=(k_2+k_3)/2 k0=(sigma*con1) norm_sif=k1/k0 /out, *stat,norm_sif *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,1.04 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/1.04 ) SAVE,TABLE_1 FINI /CLEAR,NOSTART /com,************************************************************* /com, Using J integral Calculation /prep7 E=207000 ! youngs modulus NU=0.3 ! poissons ratio sigma=124.02 pi=3.141593 a=10 ! crack length et,1,plane183,,,2

! plane183 element, plane strain

mp,ex,1,e mp,nuxy,1,nu

k,1,-10,, k,2,,,

1904


VM-R020-t2b 183 Input Listing k,3,10,0 k,4,10,10 k,5,-10,10 l,1,2 *rep,4,1,1 l,5,1 al,1,2,3,4,5

esize,10 kscon,2,4,1,4,0.75 amesh,1 fini


/solu autots,on nsubst,10 outres,all,all nsel,s,loc,y,0 nsel,r,loc,x,0,10 d,all,uy,0 nsel,r,loc,x,10 d,all,ux,0 nsel,all nsel,s,loc,y,10 nsel,r,loc,x,-10,10 d,all,uy,0.01 nsel,all nsel,s,loc,y,0 nsel,r,loc,x,0 cm,crack1,node cint,new,1 cint,ctnc,crack1 cint,ncon,3 cint,symm,on cint,norm,0,2 cint,list allsel,all solve fini



/out,scratch /post1 prcint,1 ! Get the J1,J2,J3 values *get,j1,cint,1,ctip,node(0,0,0),,1,, *get,j2,cint,1,ctip,node(0,0,0),,2,, *get,j3,cint,1,ctip,node(0,0,0),,3,, jc1 =(abs(j1)+abs(j2)+abs(j3))/3 *stat,jc1 con1 = ((pi*a)**0.5) con2 = E/(1-(nu*nu)) K1 = ((con2*jc1)**0.5) k0=(sigma*con1) norm_sif = K1/k0 /out, *status,norm_sif

*DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,1.04 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/1.04 ) SAVE,TABLE_2 /NOPR /COM


1905

NAFEMS Input Listings /OUT,vmr020-t2b-183,vrt /COM,------------------- vmr020-t2b-183 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | MECHANICAL APDL | RATIO /COM, RESUME,TABLE_1 /COM,USING STRESS INTENSITY FACTOR CALCULATION *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, RESUME,TABLE_2 /COM,USING J-INTEGRAL APPROACH /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, /COM,------------------------------------------------------------------------------/OUT FINISH *list,vmr020-t2b-183,vrt

VM-R020-t3a 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vmr020-t3a-183 /title,vmr020-t3a-183,Angle crack plate embedded in a plate (Uniaxial tension) /com, /com, Problem is taken from NAFEMS Publication /com, "2D Test Cases in Linear Elastic Fracture Mechanics" /com, Test case 3.1, crack angle = 22.5 /com, /com, Reference: Rooke D P and Cartwright D J : Compendium /com, of stress intensity factors, HMSO, London, England (1976) /com, /com, ********************************************************** /com, Stress Intensity Factor Calculation using Interaction /com, Integral Approach /prep7 e=207000 !youngs modulus nu=0.3 !poissons ratio sig=100 !surface load a=25 !length of the crack pi=3.141593 et,1,plane183,,,2 !plane183 elements, plane strain mp,ex,1,e mp,nuxy,1,nu k,1,,, k,2,40.433,, k,3,100,, k,4,100,62.5 k,5,50,62.5 k,6,40.433,39.404 k,7,50,62.5 k,8,,62.5 k,9,,125 k,10,59.567,125 k,11,59.567,85.596 k,12,100,125 l,1,2

1906


VM-R020-t3a 183 Input Listing l,2,6 l,6,7 l,7,8 l,8,1 al,1,2,3,4,5 l,2,3 l,3,4 l,4,5 l,5,6 al,6,7,8,9,2 l,4,12 l,12,10 l,10,11 l,11,5 al,10,11,12,13,8 l,10,9 l,9,8 l,7,11 al,14,15,4,16,12 kscon,6,5,1,8,0.75 ! crack tip elements kscon,11,5,1,8,0.75 ! crack tip elements esize,4 amesh,1 amesh,2 amesh,3 amesh,4 cskp,11,0,6,5,9 cskp,12,0,11,5,3 csys,0 /solu autots,on nsubst,10 outres,all,all nsel,s,loc,y,0 nsel,r,loc,x,0,100 d,all,uy,0 nsel,r,loc,x,100 d,all,ux,0 nsel,all lsel,s,line,,14 lsel,a,line,,11 sfl,all,press,-sig lsel,all nsel,s,loc,y,39.404 nsel,r,loc,x,40.433 cm,crack1,node ! define the crack tip node component nsel,s,loc,y,85.596 nsel,r,loc,x,59.567 cm,crack2,node ! define the crack tip node component cint,new,1 cint,type,sifs cint,ctnc,crack1 cint,ncon,5 cint,symm,off cint,norm,12,2 cint,list allsel,all

! calculate stress intensity factor ! crack ID ! number of countours ! symmetry off

cint,new,2


1907

NAFEMS Input Listings cint,type,sifs cint,ctnc,crack2 cint,ncon,5 cint,symm,off cint,norm,11,2 cint,list allsel,all solve fini


/out,scratch /post1 prcint,2,,k1 csys,0 rsys,0 *get,k1_1,cint,2,ctip,node(59.567,85.596,0),,1,dtype,k1 *get,k1_2,cint,2,ctip,node(59.567,85.596,0),,2,dtype,k1 *get,k1_3,cint,2,ctip,node(59.567,85.596,0),,3,dtype,k1 *get,k1_4,cint,2,ctip,node(59.567,85.596,0),,4,dtype,k1 *get,k1_5,cint,2,ctip,node(59.567,85.596,0),,5,dtype,k1 con1 = ((pi*a)**0.5) k1=(k1_2+k1_3+k1_4+k1_5)/4 *stat,k1 k0=(sig*con1) norm_k1=k1/k0 *stat,norm_k1 prcint,2,,k2 *get,k2_1,cint,2,ctip,node(59.567,85.596,0),,1,dtype,k2 *get,k2_2,cint,2,ctip,node(59.567,85.596,0),,2,dtype,k2 *get,k2_3,cint,2,ctip,node(59.567,85.596,0),,3,dtype,k2 *get,k2_4,cint,2,ctip,node(59.567,85.596,0),,4,dtype,k2 *get,k2_5,cint,2,ctip,node(59.567,85.596,0),,5,dtype,k2 con1 = ((pi*a)**0.5) k2=(k2_2+k2_3+k2_4+k2_5)/4 k0=(sig*con1) norm_k2=k2/k0 *stat,norm_k2 /out, *DIM,LABEL,CHAR,2,5 *DIM,VALUE,,2,3 LABEL(1,1) = 'KI','KII' *VFILL,VALUE(1,1),DATA,0.19,0.405 *VFILL,VALUE(1,2),DATA,norm_k1,norm_k2 *VFILL,VALUE(1,3),DATA,ABS(norm_k1/0.190 ),ABS(norm_k2/0.405 ) SAVE,TABLE_1

/NOPR /COM /OUT,vmr020-t3a-183,vrt /COM,------------------- vmr020-t3a-183 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | MECHANICAL APDL | RATIO /COM, RESUME,TABLE_1 /COM,USING STRESS INTENSITY FACTOR CALCULATION *VWRITE,LABEL(1,1),LABEL(1,2),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A4,A4' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM,------------------------------------------------------------------------------/OUT FINISH *list,vmr020-t3a-183,vrt

1908


VM-R020-t3b 183 Input Listing

VM-R020-t3b 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vmr020-t3b-183 /title,vmr020-t3b-183,Angle crack plate embedded in a plate (Uniaxial tension) /com, /com, Problem is taken from NAFEMS Publication /com, "2D Test Cases in Linear Elastic Fracture Mechanics" /com, Test case 3.2, crack angle = 67.5 /com, /com, Reference: Rooke D P and Cartwright D J : Compendium /com, of stress intensity factors, HMSO, London, England (1976) /com, /com, ********************************************************** /com, Stress Intensity Factor Calculation using Interaction /com, Integral Approach /prep7 e=207000 nu=0.3 sig=100 a=25 pi=3.141593

!youngs modulus !poissons ratio !surface load !crack length

et,1,plane183,,,2 !plane183 elements, plane strain mp,ex,1,e mp,nuxy,1,nu k,1,,, k,2,50,, k,3,100,, k,4,100,72.069 k,5,73.0969,72.069 k,6,50,62.5 k,7,26.9031,52.933 k,8,,52.933 k,9,,125 k,10,50,125 k,11,50,62.5 k,12,100,125 l,1,2 l,2,6 l,6,7 l,7,8 l,8,1 al,1,2,3,4,5 l,2,3 l,3,4 l,4,5 l,5,6 al,6,7,8,9,2 l,4,12 l,12,10 l,10,11 l,11,5 al,10,11,12,13,8 l,10,9 l,9,8 l,7,11 al,14,15,4,16,12


1909


kscon,5,4,1,8,0.75 !crack tip elements kscon,7,4,1,8,0.75 esize,4 amesh,1 amesh,2 amesh,3 amesh,4 cskp,11,0,7,6,9 cskp,12,0,5,6,3 csys,0 /solu autots,on nsubst,10 outres,all,all nsel,s,loc,y,0 nsel,r,loc,x,0,100 d,all,uy,0 nsel,r,loc,x,100 d,all,ux,0 nsel,all lsel,s,line,,14 lsel,a,line,,11 sfl,all,press,-sig lsel,all nsel,s,loc,y,52.933 nsel,r,loc,x,26.9031 cm,crack1,node ! define the crack tip node component nsel,s,loc,y,72.069 nsel,r,loc,x,73.0969 cm,crack2,node ! define the crack tip node component cint,new,1 cint,type,sifs cint,ctnc,crack1 cint,ncon,6 cint,symm,off cint,norm,12,2 cint,list allsel,all cint,new,2 cint,type,sifs cint,ctnc,crack2 cint,ncon,6 cint,symm,off cint,norm,11,2 cint,list allsel,all solve fini

! calculate stress intensity factors ! crack ID ! number of countours ! symmetry off


/out,scratch /post1 csys,0 rsys,0 prcint,2,,k1 *get,k1_1,cint,2,ctip,node(73.0969,72.069,0),,1,dtype,k1 *get,k1_2,cint,2,ctip,node(73.0969,72.069,0),,2,dtype,k1 *get,k1_3,cint,2,ctip,node(73.0969,72.069,0),,3,dtype,k1 *get,k1_4,cint,2,ctip,node(73.0969,72.069,0),,4,dtype,k1 *get,k1_5,cint,2,ctip,node(73.0969,72.069,0),,5,dtype,k1 *get,k1_6,cint,2,ctip,node(73.0969,72.069,0),,6,dtype,k1 con1 = ((pi*a)**0.5) k1=(k1_2+k1_3+k1_4+k1_5+k1_6)/5 k0=(sig*con1) norm_k1=k1/k0 *stat,norm_k1

1910


VM-R020-t3c 183 Input Listing

prcint,2,,k2 *get,k2_1,cint,2,ctip,node(73.0969,72.069,0),,1,dtype,k2 *get,k2_2,cint,2,ctip,node(73.0969,72.069,0),,2,dtype,k2 *get,k2_3,cint,2,ctip,node(73.0969,72.069,0),,3,dtype,k2 *get,k2_4,cint,2,ctip,node(73.0969,72.069,0),,4,dtype,k2 *get,k2_5,cint,2,ctip,node(73.0969,72.069,0),,5,dtype,k2 *get,k2_6,cint,2,ctip,node(73.0969,72.069,0),,6,dtype,k2 con1 = ((pi*a)**0.5) k2=(k2_2+k2_3+k2_4+k2_5+k2_6)/5 k0=(sig*con1) norm_k2=k2/k0 *stat,norm_k2 /out, *DIM,LABEL,CHAR,2,5 *DIM,VALUE,,2,3 LABEL(1,1) = 'KI', 'KII' *VFILL,VALUE(1,1),DATA,1.03,0.370 *VFILL,VALUE(1,2),DATA,norm_k1,norm_k2 *VFILL,VALUE(1,3),DATA,ABS(norm_k1/1.03 ),ABS(norm_k2/0.370 ) SAVE,TABLE_1

/NOPR /COM /OUT,vmr020-t3b-183,vrt /COM,------------------- vmr020-t3b-183 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | MECHANICAL APDL | RATIO /COM, RESUME,TABLE_1 /COM,USING STRESS INTENSITY FACTOR CALCULATION *VWRITE,LABEL(1,1),LABEL(1,2),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A4,A4' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM,------------------------------------------------------------------------------/OUT FINISH *list,vmr020-t3b-183,vrt

VM-R020-t3c 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vmr020-t3c-183 /title,vmr020-t3c-183,Angle crack plate embedded in a plate (Uniaxial tension) /com, /com, Problem is taken from NAFEMS Publication /com, "2D Test Cases in Linear Elastic Fracture Mechanics" /com, Test case 3.3, crack angle = 90 /com, /com, Reference: Rooke D P and Cartwright D J : Compendium /com, of stress intensity factors, HMSO, London, England (1976) /com, /com, ********************************************************** /com, Stress Intensity Factor Calculation using Interaction /com, Integral Approach /prep7 e=207000 nu=0.3 sig=100 pi=3.141593 a=25

!youngs modulus !poissons ratio !suface load !crack length

et,1,plane183,,,2

!plane183 elements, plane strain


1911


mp,ex,1,e mp,nuxy,1,nu k,1,,, k,2,50,, k,3,100,, k,4,100,62.5 k,5,75,62.5, k,6,50,62.5 k,7,25,62.5 k,8,,62.5 k,9,,125 k,10,50,125 k,11,50,62.5 k,12,100,125 l,1,2 l,2,6 l,6,7 l,7,8 l,8,1 al,1,2,3,4,5 l,2,3 l,3,4 l,4,5 l,5,6 al,6,7,8,9,2 l,4,12 l,12,10 l,10,11 l,11,5 al,10,11,12,13,8 l,10,9 l,9,8 l,7,11 al,14,15,4,16,12 kscon,5,5,1,4,0.75 !crack tip elements kscon,7,5,1,4,0.75 lsel,s,loc,y,0 lsel,a,loc,y,62.5 lsel,a,loc,y,125 lesize,all,,,5 lsel,all lsel,s,loc,x,0 lsel,a,loc,x,50 lsel,a,loc,x,100 lesize,all,,,12.5 lsel,all cskp,11,0,7,6,9 cskp,12,0,5,6,3 csys,0 amesh,1 amesh,2 amesh,3 amesh,4 /solu autots,on nsubst,10 outres,all,all

1912


VM-R020-t3c 183 Input Listing nsel,s,loc,y,0 nsel,r,loc,x,0,100 d,all,uy,0 nsel,r,loc,x,100 d,all,ux,0 nsel,all lsel,s,line,,14 lsel,a,line,,11 sfl,all,press,-sig lsel,all nsel,s,loc,y,62.5 nsel,r,loc,x,25 cm,crack1,node


nsel,s,loc,y,62.5 nsel,r,loc,x,75 cm,crack2,node


cint,new,1 cint,type,sifs cint,ctnc,crack1 cint,ncon,6 cint,symm,off cint,norm,12,2 cint,list allsel,all cint,new,2 cint,type,sifs cint,ctnc,crack2 cint,ncon,6 cint,symm,off cint,norm,11,2 cint,list allsel,all solve fini



/out,scratch /post1 prcint,1,,k1 csys,0 rsys,0 *get,k1_1,cint,1,ctip,node(25,62.5,0),,1,dtype,k1 *get,k1_2,cint,1,ctip,node(25,62.5,0),,2,dtype,k1 *get,k1_3,cint,1,ctip,node(25,62.5,0),,3,dtype,k1 *get,k1_4,cint,1,ctip,node(25,62.5,0),,4,dtype,k1 *get,k1_5,cint,1,ctip,node(25,62.5,0),,5,dtype,k1 *get,k1_6,cint,1,ctip,38,,6,dtype,k1 con1 = ((pi*a)**0.5) k1=(k1_1+k1_2+k1_3+k1_4+k1_5+k1_6)/6 k0=(sig*con1) norm_sif=k1/k0 *stat,norm_sif /out, *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,1.2 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/1.2 ) SAVE,TABLE_1 FINI /CLEAR,NOSTART

/com,************************************************************* /com, Using J integral Calculation


1913

NAFEMS Input Listings /prep7 e=207000 nu=0.3 sig=100 pi=3.141593 a=25

!youngs modulus !poissons ratio !suface load !crack length

et,1,plane183,,,2

!plane183 elements, plane strain

mp,ex,1,e mp,nuxy,1,nu k,1,,, k,2,50,, k,3,100,, k,4,100,62.5 k,5,75,62.5, k,6,50,62.5 k,7,25,62.5 k,8,,62.5 k,9,,125 k,10,50,125 k,11,50,62.5 k,12,100,125 l,1,2 l,2,6 l,6,7 l,7,8 l,8,1 al,1,2,3,4,5 l,2,3 l,3,4 l,4,5 l,5,6 al,6,7,8,9,2 l,4,12 l,12,10 l,10,11 l,11,5 al,10,11,12,13,8 l,10,9 l,9,8 l,7,11 al,14,15,4,16,12 kscon,5,5,1,4,0.75 kscon,7,5,1,4,0.75

!crack tip elemants

lsel,s,loc,y,0 lsel,a,loc,y,62.5 lsel,a,loc,y,125 lesize,all,,,5 lsel,all lsel,s,loc,x,0 lsel,a,loc,x,50 lsel,a,loc,x,100 lesize,all,,,12.5 lsel,all cskp,11,0,7,6,9 cskp,12,0,5,6,3 csys,0

1914


VM-R020-t3c 183 Input Listing amesh,1 amesh,2 amesh,3 amesh,4 /solu autots,on nsubst,10 outres,all,all nsel,s,loc,y,0 nsel,r,loc,x,0,100 d,all,uy,0 nsel,r,loc,x,100 d,all,ux,0 nsel,all lsel,s,line,,14 lsel,a,line,,11 sfl,all,press,-sig lsel,all nsel,s,loc,y,62.5 nsel,r,loc,x,25 cm,crack1,node


nsel,s,loc,y,62.5 nsel,r,loc,x,75 cm,crack2,node


cint,new,1 cint,ctnc,crack1 cint,ncon,6 cint,symm,off cint,norm,12,2 cint,list allsel,all cint,new,2 cint,ctnc,crack2 cint,ncon,6 cint,symm,off cint,norm,11,2 cint,list allsel,all solve fini

! crack ID ! number of countours ! symmetry off

! crack ID ! number of countours ! symmetry off

/out,scratch /post1 prcint,1 csys,0 rsys,0 *get,j1,cint,1,ctip,node(25,62.5,0),,1,, *get,j2,cint,1,ctip,node(25,62.5,0),,2,, *get,j3,cint,1,ctip,node(25,62.5,0),,3,, *get,j4,cint,1,ctip,node(25,62.5,0),,4,, *get,j5,cint,1,ctip,node(25,62.5,0),,5,, *get,j6,cint,1,ctip,node(25,62.5,0),,6,, j_avg=(abs(j1)+abs(j2)+abs(j3)+abs(j4)+abs(j5)+abs(j6))/6 *stat,j_avg con1 = ((pi*a)**0.5) con2 = E/(1-(nu*nu)) k1 = ((con2*j_avg)**0.5) k0=(sig*con1) norm_sif=k1/k0 /out, *stat,norm_sif *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI'


1915

NAFEMS Input Listings *VFILL,VALUE(1,1),DATA,1.2 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/1.2 ) SAVE,TABLE_2 /NOPR /COM /OUT,vmr020-t3c-183,vrt /COM,------------------- vmr020-t3c-183 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | MECHANICAL APDL | RATIO /COM, RESUME,TABLE_1 /COM,USING STRESS INTENSITY FACTOR CALCULATION *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, RESUME,TABLE_2 /COM,USING J-INTEGRAL APPROACH /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, /COM,------------------------------------------------------------------------------/OUT FINISH *list,vmr020-t3c-183,vrt

VM-R020-t4a 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vmr020-t4a-183 /title,vmr020-t4a-183,Crack at a hole in a plate (Uniaxial tension) /com, /com, Problem is taken from NAFEMS Publication /com, "2D Test Cases in Linear Elastic Fracture Mechanics" /com, Test case 4.1 /com, /com, Reference: Rooke D P and Cartwright D J : Compendium /com, of stress intensity factors, HMSO, London, England (1976) /com, /com, ********************************************************** /com, Stress Intensity Factor Calculation using Interaction /com, Integral Approach /prep7 e=207000 nu=0.3 sig=100 a=3 pi=3.141593


et,1,plane183,,,0

!plane183 elements

mp,ex,1,e mp,nuxy,1,nu k,1,3,0 k,2,10,0 k,3,10,20 k,4,0,20 k,5,0,2.5 k,6,2.5,0

1916


VM-R020-t4a 183 Input Listing k,7,10,5 k,8,0,5

l,1,2 l,2,7 l,7,3 l,3,4 l,4,8 l,8,5 csys,2 l,5,6 csys,0 l,6,1 l,7,8 al,1,2,9,6,7,8 al,3,4,5,9 esize,1 amesh,2 kscon,1,0.15,1,4,0.75 !crack tip elements esize,1 amesh,1 finish /solu autots,on nsubst,10 outres,all,all nsel,s,loc,x,3,10 nsel,r,loc,y,0 d,all,uy,0 nsel,all nsel,s,loc,y,2.5,20 nsel,r,loc,x,0 d,all,ux,0 nsel,all sfl,4,press,-sig nsel,s,loc,x,3 nsel,r,loc,y,0 cm,crack1,node

!define crack tip node component

cint,new,1 cint,type,sifs ! calculate stress intensity factor cint,ctnc,crack1 !crack ID cint,ncon,4 !number of contours cint,symm,on !symmetry on cint,norm,0,2 cint,list allsel,all solve finish /out,scratch /post1 prcint,1 *get,k1_1,cint,1,ctip,node(3,0,0),,1,dtype,k1 *get,k1_2,cint,1,ctip,node(3,0,0),,2,dtype,k1 *get,k1_3,cint,1,ctip,node(3,0,0),,3,dtype,k1 con1 = ((pi*a)**0.5) k1=(k1_1+k1_2+k1_3)/3 k0=(sig*con1) norm_sif=k1/k0 /out, *stat,norm_sif *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3


1917

NAFEMS Input Listings LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,1.050 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/1.050 ) SAVE,TABLE_1 FINI /CLEAR,NOSTART

/com,************************************************************* /com, Using J integral Calculation /prep7 e=207000 nu=0.3 sig=100 a=3 pi=3.141593


et,1,plane183,,,0

!plane183 elements

mp,ex,1,e mp,nuxy,1,nu k,1,3,0 k,2,10,0 k,3,10,20 k,4,0,20 k,5,0,2.5 k,6,2.5,0 k,7,10,5 k,8,0,5

l,1,2 l,2,7 l,7,3 l,3,4 l,4,8 l,8,5 csys,2 l,5,6 csys,0 l,6,1 l,7,8 al,1,2,9,6,7,8 al,3,4,5,9 esize,1 amesh,2 kscon,1,0.15,1,4,0.75 !crack tip elements esize,1 amesh,1 finish /solu autots,on nsubst,10 outres,all,all nsel,s,loc,x,3,10 nsel,r,loc,y,0 d,all,uy,0 nsel,all nsel,s,loc,y,2.5,20 nsel,r,loc,x,0 d,all,ux,0 nsel,all sfl,4,press,-sig

1918


VM-R020-t4a 183 Input Listing nsel,s,loc,x,3 nsel,r,loc,y,0 cm,crack1,node


cint,new,1 cint,ctnc,crack1 !crack ID cint,ncon,4 !number of contours cint,symm,on !symmetry on cint,norm,0,2 cint,list allsel,all solve finish /out,scratch /post1 prcint,1 *get,j1,cint,1,ctip,node(3,0,0),,1,,, *get,j2,cint,1,ctip,node(3,0,0),,2,,, *get,j3,cint,1,ctip,node(3,0,0),,3,,, *get,j4,cint,1,ctip,node(3,0,0),,4,,, j_avg=(abs(j1)+abs(j2)+abs(j3)+abs(j4))/4 *stat,j_avg con1 = ((pi*a)**0.5) con2 = E k1 = ((con2*j_avg)**0.5) k0=(sig*con1) norm_sif=k1/k0 /out, *stat,norm_sif *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,1.050 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/1.050 ) SAVE,TABLE_2

/NOPR /COM /OUT,vmr020-t4a-183,vrt /COM,------------------- vmr020-t4a-183 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | MECHANICAL APDL | RATIO /COM, RESUME,TABLE_1 /COM,USING STRESS INTENSITY FACTOR CALCULATION *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, RESUME,TABLE_2 /COM,USING J-INTEGRAL APPROACH /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, /COM,------------------------------------------------------------------------------/OUT FINISH *list,vmr020-t4a-183,vrt


1919


VM-R020-t4b 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vmr020-t4b-183 /title,vmr020-t4b-183,Crack at a hole in a plate (Uniaxial tension) /com, /com, Problem is taken from NAFEMS Publication /com, "2D Test Cases in Linear Elastic Fracture Mechanics" /com, Test case 4.2 /com, /com, Reference: Rooke D P and Cartwright D J : Compendium /com, of stress intensity factors, HMSO, London, England (1976) /com, /com, ********************************************************** /com, Stress Intensity Factor Calculation using Interaction /com, Integral Approach /prep7 e=207000 !youngs modulus nu=0.3 !poissons ratio sig=100 !surface load a=3 !crack length pi=3.141593 et,1,plane183,,,2

!plane183 elements


l,1,2 l,2,7 l,7,3 l,3,4 l,4,8 l,8,5 csys,2 l,5,6 csys,0 l,6,1 l,7,8 al,1,2,9,6,7,8 al,3,4,5,9 esize,1 amesh,2 kscon,1,0.15,1,4,0.75 !crack tip elements esize,1 amesh,1 finish /solu autots,on nsubst,10 outres,all,all nsel,s,loc,x,3,10 nsel,r,loc,y,0 d,all,uy,0

1920


VM-R020-t4b 183 Input Listing nsel,all nsel,s,loc,y,2.5,20 nsel,r,loc,x,0 d,all,ux,0 nsel,all sfl,4,press,-sig nsel,s,loc,x,3 nsel,r,loc,y,0 cm,crack1,node


cint,new,1 cint,type,sifs ! Calculate stress intensity factor cint,name,crack1 !crack ID cint,ncon,4 !number of contours cint,symm,on !symmetry on cint,norm,0,2 cint,list allsel,all solve finish /out,scratch /post1 prcint,1 *get,k1_1,cint,1,ctip,node(3,0,0),,1,dtype,k1 *get,k1_2,cint,1,ctip,node(3,0,0),,2,dtype,k1 *get,k1_3,cint,1,ctip,node(3,0,0),,3,dtype,k1 con1 = ((pi*a)**0.5) k1=(k1_1+k1_2+k1_3)/3 k0=(sig*con1) norm_sif=k1/k0 /out, *stat,norm_sif *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,1.050 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/1.050 ) SAVE,TABLE_1 FINI /CLEAR,NOSTART /com,****************************************************************************** /com,*** Using J-Integral Approach /prep7 e=207000 nu=0.3 sig=100 a=3 pi=3.141593


et,1,plane183,,,2

!plane183 elements



1921

NAFEMS Input Listings l,1,2 l,2,7 l,7,3 l,3,4 l,4,8 l,8,5 csys,2 l,5,6 csys,0 l,6,1 l,7,8 al,1,2,9,6,7,8 al,3,4,5,9 esize,1 amesh,2 kscon,1,0.15,1,4,0.75 !crack tip elements esize,1 amesh,1 finish /solu autots,on nsubst,10 outres,all,all nsel,s,loc,x,3,10 nsel,r,loc,y,0 d,all,uy,0 nsel,all nsel,s,loc,y,2.5,20 nsel,r,loc,x,0 d,all,ux,0 nsel,all sfl,4,press,-sig nsel,s,loc,x,3 nsel,r,loc,y,0 cm,crack1,node

!define crack tip node components

cint,new,1 cint,name,crack1 !crack ID cint,ncon,4 !number of contours cint,symm,on !symmetry on cint,norm,0,2 cint,list allsel,all solve finish /out,scratch /post1 prcint,1 *get,j1,cint,1,ctip,node(3,0,0),,1,,, *get,j2,cint,1,ctip,node(3,0,0),,2,,, *get,j3,cint,1,ctip,node(3,0,0),,3,,, *get,j4,cint,1,ctip,node(3,0,0),,4,,, j_avg=(abs(j1)+abs(j2)+abs(j3)+abs(j4))/4 *stat,j_avg con1 = ((pi*a)**0.5) con2 = E/(1-(nu*nu)) k1 = ((con2*j_avg)**0.5) k0=(sig*con1) norm_sif=k1/k0 /out, *stat,norm_sif *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,1.050

1922


VM-R020-t5a 183 Input Listing *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/1.050 ) SAVE,TABLE_2

/NOPR /COM /OUT,vmr020-t4b-183,vrt /COM,------------------- vmr020-t4b-183 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | MECHANICAL APDL | RATIO /COM, RESUME,TABLE_1 /COM,USING STRESS INTENSITY FACTOR CALCULATION *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, RESUME,TABLE_2 /COM,USING J-INTEGRAL APPROACH /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, /COM, /COM,----------------------------------------------------------------/OUT FINISH *list,vmr020-t4b-183,vrt

VM-R020-t5a 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vmr020-t5a-183 /title,vmr020-t5a-183,Axisymmetric crack in a bar /com, /com, Problem is taken from NAFEMS Publication /com, "2D Test Cases in Linear Elastic Fracture Mechanics" /com, Test case 5.0 /com, /com, Reference: Murakami Y: Stress intensity factor handbook /com, Pergamon Press (1987) /com, /com, ********************************************************** /com, Stress Intensity Factor Calculation using Interaction /com, Integral Approach /prep7 e=207000 nu=0.3 a=10 b=10 sig=100 r=20 pi=3.141593

!youngs modulus !poissons ratio !crack length !sufrace load !radius of the bar

et,1,plane183,,,1 !plane183 elements, axisymmetric mp,ex,1,e mp,nuxy,1,nu k,1,10,0 k,2,0,0 k,3,0,10


1923

NAFEMS Input Listings k,4,0,30 k,5,20,30 k,6,20,10 k,7,20,0 l,1,2 *rep,6,1,1 l,7,1 l,3,6 al,1,2,8,6,7 al,3,4,5,8 esize,1 kscon,1,0.75,1,8,0.75 !crack tip elements amesh,1 esize,2 amesh,2 allsel cskp,12,0,3,6,2 csys,0 fini /solu autots,on nsubst,10 outres,all,all nsel,s,loc,x,0,10 nsel,r,loc,y,0 d,all,uy,0 nsel,all nsel,s,loc,y,0,30 nsel,r,loc,x,0 d,all,ux,0 nsel,all lsel,s,line,,4 sfl,all,press,-sig lsel,all nsel,s,loc,x,10 nsel,r,loc,y,0 cm,crack1,node !define crack tip node components cint,new,1 cint,type,sifs ! calculate stress intensity factor cint,ctnc,crack1 !crack ID cint,ncon,5 !number of contours cint,symm,on !symmetry on cint,norm,12,2 cint,list allsel,all solve finish /out,scratch /post1 prcint,1,,k1 *get,k1_1,cint,1,ctip,node(10,0,0),,1,dtype,k1 *get,k1_2,cint,1,ctip,node(10,0,0),,2,dtype,k1 *get,k1_3,cint,1,ctip,node(10,0,0),,3,dtype,k1 *get,k1_4,cint,1,ctip,node(10,0,0),,4,dtype,k1 *get,k1_5,cint,1,ctip,node(10,0,0),,5,dtype,k1 con1 = ((pi*b)**0.5) P=(sig*pi*r*r) con2=(pi*b*b) k1=(k1_2+k1_3+k1_4+k1_5)/4 *stat,k1 k0=P*con1/con2 *stat,k0 norm_sif=k1/k0

1924


VM-R020-t5a 183 Input Listing /out, *stat,norm_sif *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,0.475 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/0.475 ) SAVE,TABLE_1 FINI /CLEAR,NOSTART /com,************************************************************* /com, Using J integral Calculation (plane strain formulation) /prep7 e=207000 nu=0.3 a=10 b=10 sig=100 r=20 pi=3.141593


et,1,plane183,,,1 !plane183 elements, axisymmetric mp,ex,1,e mp,nuxy,1,nu k,1,10,0 k,2,0,0 k,3,0,10 k,4,0,30 k,5,20,30 k,6,20,10 k,7,20,0 l,1,2 *rep,6,1,1 l,7,1 l,3,6 al,1,2,8,6,7 al,3,4,5,8 esize,1 kscon,1,0.75,1,8,0.75 !crack tip elements amesh,1 esize,2 amesh,2 allsel cskp,12,0,3,6,2 csys,0 fini /solu autots,on nsubst,10 outres,all,all nsel,s,loc,x,0,10 nsel,r,loc,y,0 d,all,uy,0 nsel,all nsel,s,loc,y,0,30 nsel,r,loc,x,0 d,all,ux,0 nsel,all lsel,s,line,,4 sfl,all,press,-sig


1925

NAFEMS Input Listings lsel,all nsel,s,loc,x,10 nsel,r,loc,y,0 cm,crack1,node !define crack tip node component cint,new,1 cint,ctnc,crack1 !crack ID cint,ncon,5 !number of contours cint,symm,on !symmetry on cint,norm,12,2 cint,list allsel,all solve finish /out,scratch /post1 prcint,1,, *get,j_1,cint,1,ctip,node(10,0,0),,1,, *get,j_2,cint,1,ctip,node(10,0,0),,2,, *get,j_3,cint,1,ctip,node(10,0,0),,3,, *get,j_4,cint,1,ctip,node(10,0,0),,4,, *get,j_5,cint,1,ctip,node(10,0,0),,5,, con1 = ((pi*b)**0.5) P=(sig*pi*r*r) con2=(pi*b*b) j=(abs(j_1)+abs(j_2)+abs(j_3)+abs(j_4)+abs(j_5))/5 *stat,j con3=e/(1-nu**2) !plane strain formulation k1=(j*con3)**0.5 k0=P*con1/con2 *stat,k0 norm_sif=k1/k0 /out, *stat,norm_sif *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,0.475 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/0.475 ) SAVE,TABLE_2 FINI /CLEAR,NOSTART /com,************************************************************* /com, Using J integral Calculation (plane stress formulation) /prep7 e=207000 nu=0.3 a=10 b=10 sig=100 r=20 pi=3.141593


et,1,plane183,,,1 !plane183 elements, axisymmetric mp,ex,1,e mp,nuxy,1,nu k,1,10,0 k,2,0,0 k,3,0,10 k,4,0,30 k,5,20,30 k,6,20,10

1926


VM-R020-t5a 183 Input Listing k,7,20,0 l,1,2 *rep,6,1,1 l,7,1 l,3,6 al,1,2,8,6,7 al,3,4,5,8 esize,1 kscon,1,0.75,1,8,0.75 !crack tip elements amesh,1 esize,2 amesh,2 allsel cskp,12,0,3,6,2 csys,0 fini /solu autots,on nsubst,10 outres,all,all nsel,s,loc,x,0,10 nsel,r,loc,y,0 d,all,uy,0 nsel,all nsel,s,loc,y,0,30 nsel,r,loc,x,0 d,all,ux,0 nsel,all lsel,s,line,,4 sfl,all,press,-sig lsel,all nsel,s,loc,x,10 nsel,r,loc,y,0 cm,crack1,node !define crack tip node components cint,new,1 cint,ctnc,crack1 !crack ID cint,ncon,5 !number of contours cint,symm,on !symmetry on cint,norm,12,2 cint,list allsel,all solve finish /out,scratch /post1 prcint,1,, *get,j_1,cint,1,ctip,node(10,0,0),,1,, *get,j_2,cint,1,ctip,node(10,0,0),,2,, *get,j_3,cint,1,ctip,node(10,0,0),,3,, *get,j_4,cint,1,ctip,node(10,0,0),,4,, *get,j_5,cint,1,ctip,node(10,0,0),,5,, con1 = ((pi*b)**0.5) P=(sig*pi*r*r) con2=(pi*b*b) j=(abs(j_1)+abs(j_2)+abs(j_3)+abs(j_4)+abs(j_5))/5 *stat,j con3=e !plane stress formulation k1=(j*con3)**0.5 k0=P*con1/con2 *stat,k0 norm_sif=k1/k0 /out, *stat,norm_sif


1927


*DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,0.475 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/0.475 ) SAVE,TABLE_3

/NOPR /COM /OUT,vmr020-t5a-183,vrt /COM,------------------- vmr020-t5a-183 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | MECHANICAL APDL | RATIO /COM, RESUME,TABLE_1 /COM,USING STRESS INTENSITY FACTOR CALCULATION *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, RESUME,TABLE_2 /COM,USING J-INTEGRAL APPROACH - PLANE STRAIN FORMULATION /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, RESUME,TABLE_3 /COM,USING J-INTEGRAL APPROACH - PLANE STRESS FORMULATION /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM,------------------------------------------------------------------------------/OUT FINISH *list,vmr020-t5a-183,vrt

VM-R020-t6a 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vmr020-t6a-183 /title,vmr020-t6a-183,Compact tension specimen /com, /com, Problem is taken from NAFEMS Publication /com, "2D Test Cases in Linear Elastic Fracture Mechanics" /com, Test case 6.0 /com, /com, Reference: Murakami Y: Stress intensity factor handbook /com, Pergamon Press (1987) /com, /com, ********************************************************** /com, Stress Intensity Factor Calculation using Interaction /com, Integral Approach /prep7 e=207000 nu=.3 P=1000 t=1 w=50

1928

!youngs modulus !poissons ratio !point load !thickness !width


VM-R020-t6a 183 Input Listing et,1,plane183,,,2 !plane183 elements, plane strain mp,ex,1,e mp,nuxy,1,nu

k,1,, k,2,25, k,3,25,6.875 k,4,25,13.75 k,5,25,30 k,6,-37.5,30 k,7,-37.5,13.75 k,8,-37.5,6.875 k,9,-25,6.875 k,10,-25,2 k,11,-18,2 k,12,-18,0 k,13,-25,13.75 l,1,2 *rep,11,1,1 l,12,1 l,9,3 l,7,13 l,13,4

al,1,2,13,9,10,11,12 al,3,15,14,7,8,13 al,4,5,6,14,15 esize,12.5 amesh,2 amesh,3 kscon,1,2,1,4,0.75 !crack tip elements esize,12.5 amesh,1 fini /solu autots,on nsubst,10 outres,all,all nsel,s,loc,y,0 nsel,r,loc,x,0,25 d,all,uy,0 nsel,r,loc,x,25 d,all,ux,0 nsel,all fk,13,fy,P

nsel,s,loc,x,0 nsel,r,loc,y,0 cm,crack1,node


cint,new,1 cint,type,sifs ! calculate stress intensity factors cint,name,crack1 !crack ID cint,ncon,4 !number of contours cint,symm,on !symmetry on cint,norm,0,2 cint,list allsel,all solve fini /out,scratch /post1


1929

NAFEMS Input Listings prcint,1 *get,k1_1,cint,1,ctip,node(0,0,0),,1,dtype,k1 *get,k1_2,cint,1,ctip,node(0,0,0),,2,dtype,k1 *get,k1_3,cint,1,ctip,node(0,0,0),,3,dtype,k1 *get,k1_4,cint,1,ctip,node(0,0,0),,4,dtype,k1 k1_avg=(k1_1+k1_2+k1_3+k1_4)/4 k0=P/(t*(w)**0.5) norm_sif=k1_avg/k0 /out, *stat,norm_sif *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,9.659 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/9.659 ) SAVE,TABLE_1 FINI /CLEAR,NOSTART /com,************************************************************* /com, Using J integral Calculation /prep7 e=207000 nu=.3 P=1000 t=1 w=50

!youngs modulus !poissons ratio !point load !thickness !width

et,1,plane183,,,2 !plane183 elements, plane strain mp,ex,1,e mp,nuxy,1,nu k,1,, k,2,25, k,3,25,6.875 k,4,25,13.75 k,5,25,30 k,6,-37.5,30 k,7,-37.5,13.75 k,8,-37.5,6.875 k,9,-25,6.875 k,10,-25,2 k,11,-18,2 k,12,-18,0 k,13,-25,13.75 l,1,2 *rep,11,1,1 l,12,1 l,9,3 l,7,13 l,13,4

al,1,2,13,9,10,11,12 al,3,15,14,7,8,13 al,4,5,6,14,15 esize,12.5 amesh,2 amesh,3 kscon,1,2,1,4,0.75 !crack tip elements esize,12.5 amesh,1 fini

1930


VM-R020-t6a 183 Input Listing

/solu autots,on nsubst,10 outres,all,all nsel,s,loc,y,0 nsel,r,loc,x,0,25 d,all,uy,0 nsel,r,loc,x,25 d,all,ux,0 nsel,all fk,13,fy,P

nsel,s,loc,x,0 nsel,r,loc,y,0 cm,crack1,node


cint,new,1 cint,ctnc,crack1 !crack ID cint,ncon,4 !number of contours cint,symm,on !symmetry on cint,norm,0,2 cint,list allsel,all solve fini /out,scratch /post1 prcint,1 *get,j1,cint,1,ctip,node(0,0,0),,1,, *get,j2,cint,1,ctip,node(0,0,0),,2,, *get,j3,cint,1,ctip,node(0,0,0),,3,, *get,j4,cint,1,ctip,node(0,0,0),,4,, j_avg=(abs(j1)+abs(j2)+abs(j3)+abs(j4))/4 con2 = E/(1-(nu*nu)) k1 = ((con2*j_avg)**0.5) k0=P/(t*(w)**0.5) norm_sif=k1/k0 /out, *stat,norm_sif *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,9.659 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/9.659 ) SAVE,TABLE_2

/NOPR /COM /OUT,vmr020-t6a-183,vrt /COM,------------------- vmr020-t6a-183 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | MECHANICAL APDL | RATIO /COM, RESUME,TABLE_1 /COM,USING STRESS INTENSITY FACTOR CALCULATION *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, RESUME,TABLE_2 /COM,USING J-INTEGRAL APPROACH /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3)


1931

NAFEMS Input Listings (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, /COM,------------------------------------------------------------------------------/OUT FINISH *list,vmr020-t6a-183,vrt

VM-R020-t8a 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vmr020-t8a-183 /title,vmr020-t8a-183,V-notch crack plate: Uniform tensile stress /com, /com, Problem is taken from NAFEMS Publication /com, "2D Test Cases in Linear Elastic Fracture Mechanics" /com, Test case 8.1 /com, /com, Reference: Murakami Y: Stress intensity factor handbook /com, Pergamon Press (1987) /com, /com, ********************************************************** /com, Stress Intensity Factor Calculation using Interaction /com, Integral Approach /prep7 e=207000000 nu=0.3 a=5 sig=100 pi=3.141593

!youngs modulus !poissons ratio !length of the crack !surface load

et,1,plane183,,,2 !plane183 elements, plane strain mp,ex,1,e mp,nuxy,1,nu k,1,25,0 k,2,30,0 k,3,100,0 k,4,250,0 k,5,250,100 k,6,250,250 k,7,0,250 k,8,0,100 k,9,0,25 k,10,100,100 l,1,2 *rep,8,1,1 l,9,1 l,3,10 l,8,10 l,10,5 al,1,2,10,11,8,9 al,3,4,12,10 al,5,6,7,11,12

esize,25 amesh,3 amesh,2 kscon,2,2,1,4,0.75 !crack tip elements amesh,1 fini

1932


VM-R020-t8a 183 Input Listing /solu autots,on nsubst,10 outres,all,all nsel,s,loc,y,0,250 nsel,r,loc,x,250 d,all,ux,0 nsel,all nsel,s,loc,x,30,250 nsel,r,loc,y,0 d,all,uy,0 nsel,all lsel,s,line,,6 sfl,all,press,-sig lsel,all nsel,s,loc,x,30 nsel,r,loc,y,0 cm,crack1,node !define crack tip node components cint,new,1 cint,type,sifs ! calculate stress intensity factor cint,ctnc,crack1 !crack ID cint,ncon,4 !number of contours cint,symm,on !symmetry on cint,norm,0,2 cint,list allsel,all solve fini /out,scratch /post1 prcint,1 *get,k1_1,cint,1,ctip,node(30,0,0),,1,dtype,k1 *get,k1_2,cint,1,ctip,node(30,0,0),,2,dtype,k1 *get,k1_3,cint,1,ctip,node(30,0,0),,3,dtype,k1 *get,k1_4,cint,1,ctip,node(30,0,0),,4,dtype,k1 con1 = ((pi*a)**0.5) k1=(k1_1+k1_2+k1_3+k1_4)/4 k0=(sig*con1) norm_sif=k1/k0 /out, *stat,norm_sif *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,2.74 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/2.740 ) SAVE,TABLE_1 FINI /CLEAR,NOSTART

/com,************************************************************* /com, Using J integral Calculation

/prep7 e=207000000 nu=0.3 a=5 sig=100 pi=3.141593

!youngs modulus !poissons ratio !length of the crack !surface load

et,1,plane183,,,2 !plane183 elements, plane strain


1933

NAFEMS Input Listings mp,ex,1,e mp,nuxy,1,nu k,1,25,0 k,2,30,0 k,3,100,0 k,4,250,0 k,5,250,100 k,6,250,250 k,7,0,250 k,8,0,100 k,9,0,25 k,10,100,100 l,1,2 *rep,8,1,1 l,9,1 l,3,10 l,8,10 l,10,5 al,1,2,10,11,8,9 al,3,4,12,10 al,5,6,7,11,12

esize,25 amesh,3 amesh,2 kscon,2,2,1,4,0.75 !crack tip elements amesh,1 fini /solu autots,on nsubst,10 outres,all,all nsel,s,loc,y,0,250 nsel,r,loc,x,250 d,all,ux,0 nsel,all nsel,s,loc,x,30,250 nsel,r,loc,y,0 d,all,uy,0 nsel,all lsel,s,line,,6 sfl,all,press,-sig lsel,all nsel,s,loc,x,30 nsel,r,loc,y,0 cm,crack1,node !define crack tip node components nsel,all cint,new,1 cint,ctnc,crack1 !crack ID cint,ncon,4 !number of contours cint,symm,on !symmetry on cint,norm,0,2 cint,list allsel,all solve fini /out,scratch /post1 prcint,1 *get,j1,cint,1,ctip,node(30,0,0),,1,, *get,j2,cint,1,ctip,node(30,0,0),,2,, *get,j3,cint,1,ctip,node(30,0,0),,3,, *get,j4,cint,1,ctip,node(30,0,0),,4,, j_avg=(abs(j1)+abs(j2)+abs(j3)+abs(j4))/4

1934


VM-R020-t8b 183 Input Listing con1 = ((pi*a)**0.5) con2 = E/(1-(nu*nu)) k1 = ((con2*j_avg)**0.5) k0=(sig*con1) norm_sif=k1/k0 /out, *stat,norm_sif *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,2.740 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/2.740 ) SAVE,TABLE_2 /NOPR /COM /OUT,vmr020-t8a-183,vrt /COM,------------------- vmr020-t8a-183 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | MECHANICAL APDL | RATIO /COM, RESUME,TABLE_1 /COM,USING STRESS INTENSITY FACTOR CALCULATION *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, RESUME,TABLE_2 /COM,USING J-INTEGRAL APPROACH /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F16.3) /COM, /COM, /COM, /COM,------------------------------------------------------------------------------/OUT FINISH *list,vmr020-t8a-183,vrt

VM-R020-t8b 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vmr020-t8b-183 /title,vmr020-t8b-183,V-notch crack plate: Uniform normal displacement /com, /com, Problem is taken from NAFEMS Publication /com, "2D Test Cases in Linear Elastic Fracture Mechanics" /com, Test case 8.2 /com, /com, Reference: No rference available /com, /com, /com, ********************************************************** /com, Stress Intensity Factor Calculation using Interaction /com, Integral Approach /prep7 e=207000000 nu=0.3 a=5 sig=76700 pi=3.141593

!youngs modulus !poissons ratio !crack length


1935

NAFEMS Input Listings et,1,plane183,,,2 !plane183 elements mp,ex,1,e mp,nuxy,1,nu k,1,25,0 k,2,30,0 k,3,100,0 k,4,250,0 k,5,250,100 k,6,250,250 k,7,0,250 k,8,0,100 k,9,0,25 k,10,100,100 l,1,2 *rep,8,1,1 l,9,1 l,3,10 l,8,10 l,10,5 al,1,2,10,11,8,9 al,3,4,12,10 al,5,6,7,11,12

esize,25 amesh,3 amesh,2 kscon,2,1.4,1,4,0.75 !crack tip elements amesh,1 fini /solu nlgeom,on autots,on nsubst,10 outres,all,all nsel,s,loc,y,0,250 nsel,r,loc,x,250 d,all,ux,0 nsel,all nsel,s,loc,x,30,250 nsel,r,loc,y,0 d,all,uy,0 nsel,all nsel,s,loc,x,0,250 nsel,r,loc,y,250 d,all,uy,0.1 nsel,all nsel,s,loc,x,30 nsel,r,loc,y,0 cm,crack1,node !define crack tip node component cint,new,1 cint,type,sifs !calculate stress intensity values cint,name,crack1 !crack ID cint,ncon,4 !number of contours cint,symm,on !symmetry on cint,norm,0,2 cint,list allsel,all solve fini /out,scratch /post1 prcint,1,,k1 *get,k1_1,cint,1,ctip,node(30,0,0),,1,dtype,k1 *get,k1_2,cint,1,ctip,node(30,0,0),,2,dtype,k1

1936


VM-R020-t8b 183 Input Listing *get,k1_3,cint,1,ctip,node(30,0,0),,3,dtype,k1 *get,k1_4,cint,1,ctip,node(30,0,0),,4,dtype,k1 con1 = ((pi*a)**0.5) k1=(k1_1+k1_2+k1_3+k1_4)/4 k0=(sig*con1) norm_sif=k1/k0 /out, *stat,norm_sif *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,3.226 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/3.226 ) SAVE,TABLE_1 FINI /CLEAR,NOSTART /com,******************************************************************************************* /com, Using J Integral Approach /prep7 e=207000000 nu=0.3 a=5 sig=76700 pi=3.141593

!youngs modulus !poissons ratio !crack length

et,1,plane183,,,2 !plane183 elements mp,ex,1,e mp,nuxy,1,nu k,1,25,0 k,2,30,0 k,3,100,0 k,4,250,0 k,5,250,100 k,6,250,250 k,7,0,250 k,8,0,100 k,9,0,25 k,10,100,100 l,1,2 *rep,8,1,1 l,9,1 l,3,10 l,8,10 l,10,5 al,1,2,10,11,8,9 al,3,4,12,10 al,5,6,7,11,12

esize,25 amesh,3 amesh,2 kscon,2,1.25,1,4,0.75 !crack tip elements amesh,1 fini /solu autots,on nsubst,10 outres,all,all nsel,s,loc,y,0,250 nsel,r,loc,x,250 d,all,ux,0


1937

NAFEMS Input Listings nsel,all nsel,s,loc,x,30,250 nsel,r,loc,y,0 d,all,uy,0 nsel,all nsel,s,loc,x,0,250 nsel,r,loc,y,250 d,all,uy,0.1 nsel,all nsel,s,loc,x,30 nsel,r,loc,y,0 cm,crack1,node !define crack tip node component cint,new,1 cint,name,crack1 !crack ID cint,ncon,4 !number of contours cint,symm,on !symmetry on cint,norm,0,2 cint,list allsel,all solve fini /out,scratch /post1 prcint,1 *get,j1,cint,1,ctip,node(30,0,0),,1,, *get,j2,cint,1,ctip,node(30,0,0),,2,, *get,j3,cint,1,ctip,node(30,0,0),,3,, *get,j4,cint,1,ctip,node(30,0,0),,4,, j_avg=(abs(j1)+abs(j2)+abs(j3)+abs(j4))/4 con1 = ((pi*a)**0.5) con2 = E/(1-(nu*nu)) k1 = ((con2*j_avg)**0.5) k0=(sig*con1) norm_sif=k1/k0 /out, *stat,norm_sif *DIM,LABEL,CHAR,1,5 *DIM,VALUE,,1,3 LABEL(1,1) = 'KI' *VFILL,VALUE(1,1),DATA,3.226 *VFILL,VALUE(1,2),DATA,norm_sif *VFILL,VALUE(1,3),DATA,ABS(norm_sif/3.226 ) SAVE,TABLE_2 /NOPR /COM /OUT,vmr020-t8b-183,vrt /COM,------------------- vmr020-t8b-183 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | MECHANICAL APDL | RATIO /COM, RESUME,TABLE_1 /COM,USING STRESS INTENSITY FACTOR CALCULATION *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F14.3) /COM, /COM, /COM, RESUME,TABLE_2 /COM,USING J-INTEGRAL APPROACH /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.3,' ',F12.3,' ',1F14.3) /COM, /COM, /COM, /COM,-----------------------------------------------------------------

1938


VM-R027-3A 181 Input Listing

/OUT FINISH *list,vmr020-t8b-183,vrt

VM-R027-3A 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr3a-181 /TITLE,vmr027-cr3a-181,2D PLANE STRESS-BIAXIAL LOAD SECONDARY CREEP /COM, REFERENCE: TEST 3(A) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(SECONDARY CREEP)*** *SET,C1,3.125E-14 *SET,C2,5 *SET,C3,0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 SAVE N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 ET,1,181,,, R,1,1,1,1,1, E,1,2,3,4 E,4,3,5,6 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y, D,ALL,UY, NSEL,ALL D,ALL,ROTX D,ALL,ROTY D,4,UZ,0 FINISH /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL NSEL,S,LOC,Y,100 SF,ALL,PRES,200 NSEL,ALL /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10


1939

NAFEMS Input Listings OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y ESOL,4,1,,EPCR,EQV PRVAR,2,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /YRANGE,-160,160 /COLOR,CURVE,RED,1 PLVAR,2 /NOERASE /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /YRANGE,-160,160 /COLOR,CURVE,BLUE,1 PLVAR,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /YRANGE,-160,160 /COLOR,CURVE,GREEN,1 PLVAR,4 /SHOW,CLOSE /POST1 SET,1,1 *GET,SH1,NODE,3,EPCR,X *GET,SH11,NODE,3,EPCR,Y R1=1.00 R11=1.00 SET,2,1 *GET,SH2,NODE,3,EPCR,X *GET,SH12,NODE,3,EPCR,Y R2=SH2/0.0135 R12=SH12/(-0.0135) SET,3,1 *GET,SH3,NODE,3,EPCR,X *GET,SH13,NODE,3,EPCR,Y

1940


VM-R027-3A 181 Input Listing R3=SH3/(0.135) R13=SH13/(-0.135) SET,4,1 *GET,SH4,NODE,3,EPCR,X *GET,SH14,NODE,3,EPCR,Y R4=SH4/0.675 R14=SH14/(-0.675) SET,,,,,,,5 *GET,SH5,NODE,3,EPCR,X *GET,SH15,NODE,3,EPCR,Y R5=SH5/(1.35) R15=SH15/(-1.35) SET,,,,,,,9 *GET,SH6,NODE,3,EPCR,X *GET,SH16,NODE,3,EPCR,Y R6=SH6/6.75 R16=SH16/(-6.75) SET,,,,,,,14 *GET,SH7,NODE,3,EPCR,X *GET,SH17,NODE,3,EPCR,Y R7=SH7/13.5 R17=SH17/(-13.5) SET,,,,,,,54 *GET,SH8,NODE,3,EPCR,X *GET,SH18,NODE,3,EPCR,Y R8=SH8/67.5 R18=SH18/(-67.5) SET,,,,,,,104 *GET,SH9,NODE,3,EPCR,X *GET,SH19,NODE,3,EPCR,Y R9=SH9/135.0 R19=SH19/(-135.0) *DIM,VALUE,,9,6 *DIM,LABEL,CHAR,10 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,0.0,0.0135,0.135,0.675,1.35,6.75,13.5,67.5,135.0 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 *VFILL,VALUE(1,4),DATA,0.0,-0.0135,-0.135,-0.675,-1.35,-6.75,-13.5,-67.5,-135.0 *VFILL,VALUE(1,5),DATA,SH11,SH12,SH13,SH14,SH15,SH16,SH17,SH18,SH19 *VFILL,VALUE(1,6),DATA,R11,R12,R13,R14,R15,R16,R17,R18,R19 /COM /COM /COM,-------------------- vmr027-cr3a-181 RESULTS COMPARISON ---------------------/COM, /COM,| TIME | TARGETX | Mechanical APDL | RATIO | TARGETY | Mechanical APDL /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3), VALUE(1,4),VALUE(1,5),VALUE(1,6) (1X,A8,' ',F8.3,' ',F8.3,' ',1F16.3,' ',F13.3,' ',F8.3,' ',F13.3) FINISH

|

RATIO

/POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR6X ',' ECR6Y ' *VFILL,VALUE1(1,1),DATA,SH9,SH19 *VFILL,VALUE1(1,2),DATA,R9,R19 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr027-','cr3a-181' /OUT,vmr027-cr3a-181,vrt /COM /COM,------------------- vmr027-cr3a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL181 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8)


1941

NAFEMS Input Listings /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr3a-181,vrt

VM-R027-3A 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr3a-182 /TITLE,vmr027-cr3a-182,2D PLANE STRESS-BIAXIAL LOAD SECONDARY CREEP /COM, REFERENCE: TEST 3(A) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(SECONDARY CREEP)*** *SET,C1,3.125E-14 *SET,C2,5 *SET,C3,0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 SAVE N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 ET,1,182 KEYOPT,1,1,1 KEYOPT,1,3,0 E,1,2,3,4 E,4,3,5,6 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y, D,ALL,UY, NSEL,ALL /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL NSEL,S,LOC,Y,100 SF,ALL,PRES,200 NSEL,ALL /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 OUTRES,ALL,LAST

1942


VM-R027-3A 182 Input Listing /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y ESOL,4,1,,EPCR,EQV PRVAR,2,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /YRANGE,-160,160 /COLOR,CURVE,RED,1 PLVAR,2 /NOERASE /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /YRANGE,-160,160 /COLOR,CURVE,BLUE,1 PLVAR,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /YRANGE,-160,160 /COLOR,CURVE,GREEN,1 PLVAR,4 /SHOW,CLOSE /POST1 SET,1,1 *GET,SH1,NODE,3,EPCR,X *GET,SH11,NODE,3,EPCR,Y R1=1.00 R11=1.00 SET,2,1 *GET,SH2,NODE,3,EPCR,X *GET,SH12,NODE,3,EPCR,Y R2=SH2/0.0135 R12=SH12/(-0.0135) SET,3,1 *GET,SH3,NODE,3,EPCR,X *GET,SH13,NODE,3,EPCR,Y R3=SH3/(0.135)


1943

NAFEMS Input Listings R13=SH13/(-0.135) SET,4,1 *GET,SH4,NODE,3,EPCR,X *GET,SH14,NODE,3,EPCR,Y R4=SH4/0.675 R14=SH14/(-0.675) SET,,,,,,,5 *GET,SH5,NODE,3,EPCR,X *GET,SH15,NODE,3,EPCR,Y R5=SH5/(1.35) R15=SH15/(-1.35) SET,,,,,,,9 *GET,SH6,NODE,3,EPCR,X *GET,SH16,NODE,3,EPCR,Y R6=SH6/6.75 R16=SH16/(-6.75) SET,,,,,,,14 *GET,SH7,NODE,3,EPCR,X *GET,SH17,NODE,3,EPCR,Y R7=SH7/13.5 R17=SH17/(-13.5) SET,,,,,,,54 *GET,SH8,NODE,3,EPCR,X *GET,SH18,NODE,3,EPCR,Y R8=SH8/67.5 R18=SH18/(-67.5) SET,,,,,,,104 *GET,SH9,NODE,3,EPCR,X *GET,SH19,NODE,3,EPCR,Y R9=SH9/135.0 R19=SH19/(-135.0) *DIM,VALUE,,9,6 *DIM,LABEL,CHAR,10 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,0.0,0.0135,0.135,0.675,1.35,6.75,13.5,67.5,135.0 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 *VFILL,VALUE(1,4),DATA,0.0,-0.0135,-0.135,-0.675,-1.35,-6.75,-13.5,-67.5,-135.0 *VFILL,VALUE(1,5),DATA,SH11,SH12,SH13,SH14,SH15,SH16,SH17,SH18,SH19 *VFILL,VALUE(1,6),DATA,R11,R12,R13,R14,R15,R16,R17,R18,R19 /COM /COM /COM,-------------------- vmr027-cr3a-182 RESULTS COMPARISON ---------------------/COM, /COM,| TIME | TARGETX | Mechanical APDL | RATIO | TARGETY | Mechanical APDL /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3), VALUE(1,4),VALUE(1,5),VALUE(1,6) (1X,A8,' ',F8.3,' ',F12.3,' ',1F14.3,' ',F10.3,' ',F8.3,' ',F13.3) FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR6X ',' ECR6Y ' *VFILL,VALUE1(1,1),DATA,SH9,SH19 *VFILL,VALUE1(1,2),DATA,R9,R19 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr027-','cr3a-182' /OUT,vmr027-cr3a-182,vrt /COM /COM,------------------- vmr027-cr3a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8) /COM, /COM,----------------------------------------------------------------

1944


|

RATIO

VM-R027-3A 183 Input Listing /OUT FINISH *LIST,vmr027-cr3a-182,vrt

VM-R027-3A 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr3a-183 /TITLE,vmr027-cr3a-183, 2D PLANE STRESS-BIAXIAL LOAD SECONDARY CREEP /COM, REFERENCE: TEST 3(A) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(SECONDARY CREEP)*** *SET,C1,3.125E-14 *SET,C2,5 *SET,C3,0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 SAVE /PREP7 N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 ET,1,183 KEYOPT,1,3,0 E,1,2,3,4,5,6,7,8 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y, D,ALL,UY, NSEL,ALL /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL NSEL,S,LOC,Y,100 SF,ALL,PRES,200 NSEL,ALL /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 OUTRES,ALL,LAST /OUTPUT,SCRATCH


1945

NAFEMS Input Listings SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y ESOL,4,1,,EPCR,EQV PRVAR,2,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /YRANGE,-160,160 /COLOR,CURVE,RED,1 PLVAR,2 /NOERASE /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /YRANGE,-160,160 /COLOR,CURVE,BLUE,1 PLVAR,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /YRANGE,-160,160 /COLOR,CURVE,GREEN,1 PLVAR,4 /SHOW,CLOSE /POST1 SET,1,1 *GET,SH1,NODE,3,EPCR,X *GET,SH11,NODE,3,EPCR,Y R1=1.00 R11=1.00 SET,2,1 *GET,SH2,NODE,3,EPCR,X *GET,SH12,NODE,3,EPCR,Y R2=SH2/0.0135 R12=SH12/(-0.0135) SET,3,1 *GET,SH3,NODE,3,EPCR,X *GET,SH13,NODE,3,EPCR,Y R3=SH3/(0.135) R13=SH13/(-0.135)

1946


VM-R027-3A 183 Input Listing SET,4,1 *GET,SH4,NODE,3,EPCR,X *GET,SH14,NODE,3,EPCR,Y R4=SH4/0.675 R14=SH14/(-0.675) SET,,,,,,,5 *GET,SH5,NODE,3,EPCR,X *GET,SH15,NODE,3,EPCR,Y R5=SH5/(1.35) R15=SH15/(-1.35) SET,,,,,,,9 *GET,SH6,NODE,3,EPCR,X *GET,SH16,NODE,3,EPCR,Y R6=SH6/6.75 R16=SH16/(-6.75) SET,,,,,,,14 *GET,SH7,NODE,3,EPCR,X *GET,SH17,NODE,3,EPCR,Y R7=SH7/13.5 R17=SH17/(-13.5) SET,,,,,,,54 *GET,SH8,NODE,3,EPCR,X *GET,SH18,NODE,3,EPCR,Y R8=SH8/67.5 R18=SH18/(-67.5) SET,,,,,,,104 *GET,SH9,NODE,3,EPCR,X *GET,SH19,NODE,3,EPCR,Y R9=SH9/135.0 R19=SH19/(-135.0) *DIM,VALUE,,9,6 *DIM,LABEL,CHAR,10 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,0.0,0.0135,0.135,0.675,1.35,6.75,13.5,67.5,135.0 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 *VFILL,VALUE(1,4),DATA,0.0,-0.0135,-0.135,-0.675,-1.35,-6.75,-13.5,-67.5,-135.0 *VFILL,VALUE(1,5),DATA,SH11,SH12,SH13,SH14,SH15,SH16,SH17,SH18,SH19 *VFILL,VALUE(1,6),DATA,R11,R12,R13,R14,R15,R16,R17,R18,R19 /COM /COM /COM,-------------------- vmr027-cr3a-183 RESULTS COMPARISON ---------------------/COM, /COM,| TIME | TARGETX | Mechanical APDL | RATIO | TARGETY | Mechanical APDL /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3), VALUE(1,4),VALUE(1,5),VALUE(1,6) (1X,A8,' ',F8.3,' ',F12.3,' ',1F14.3,' ',F10.3,' ',F8.3,' ',F13.3) FINISH

|

RATIO

/POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR6X ',' ECR6Y ' *VFILL,VALUE1(1,1),DATA,SH9,SH19 *VFILL,VALUE1(1,2),DATA,R9,R19 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr027-','cr3a-183' /OUT,vmr027-cr3a-183,vrt /COM /COM,------------------- vmr027-cr3a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT


1947


FINISH *LIST,vmr027-cr3a-183,vrt

VM-R027-3A 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr3a-281 /TITLE,vmr027-cr3a-281,2D PLANE STRESS-BIAXIAL LOAD SECONDARY CREEP /COM, REFERENCE: TEST 3(A) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(SECONDARY CREEP)*** *SET,C1,3.125E-14 *SET,C2,5 *SET,C3,0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 SAVE N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 N,7,50,0 N,8,100,25 N,9,50,50 N,10,0,25 N,11,100,75 N,12,50,100 N,13,0,75 ET,1,SHELL281,,, R,1,1,1,1,1, E,1,2,3,4,7,8,9,10 E,4,3,5,6,9,11,12,13 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y, D,ALL,UY, NSEL,ALL D,ALL,UZ D,ALL,ROTX D,ALL,ROTY /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL NSEL,S,LOC,Y,100 SF,ALL,PRES,200 NSEL,ALL /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON

1948


VM-R027-3A 281 Input Listing DELT,0.10,0.099,0.10 TIME, 0.10 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y ESOL,4,1,,EPCR,EQV PRVAR,2,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /YRANGE,-160,160 /COLOR,CURVE,RED,1 PLVAR,2 /NOERASE /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /YRANGE,-160,160 /COLOR,CURVE,BLUE,1 PLVAR,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /YRANGE,-160,160 /COLOR,CURVE,GREEN,1 PLVAR,4 /SHOW,CLOSE /POST1 SET,1,1 *GET,SH1,NODE,3,EPCR,X *GET,SH11,NODE,3,EPCR,Y R1=1.00 R11=1.00 SET,2,1 *GET,SH2,NODE,3,EPCR,X *GET,SH12,NODE,3,EPCR,Y R2=SH2/0.0135 R12=SH12/(-0.0135) SET,3,1 *GET,SH3,NODE,3,EPCR,X *GET,SH13,NODE,3,EPCR,Y


1949

NAFEMS Input Listings R3=SH3/(0.135) R13=SH13/(-0.135) SET,4,1 *GET,SH4,NODE,3,EPCR,X *GET,SH14,NODE,3,EPCR,Y R4=SH4/0.675 R14=SH14/(-0.675) SET,,,,,,,5 *GET,SH5,NODE,3,EPCR,X *GET,SH15,NODE,3,EPCR,Y R5=SH5/(1.35) R15=SH15/(-1.35) SET,,,,,,,9 *GET,SH6,NODE,3,EPCR,X *GET,SH16,NODE,3,EPCR,Y R6=SH6/6.75 R16=SH16/(-6.75) SET,,,,,,,14 *GET,SH7,NODE,3,EPCR,X *GET,SH17,NODE,3,EPCR,Y R7=SH7/13.5 R17=SH17/(-13.5) SET,,,,,,,54 *GET,SH8,NODE,3,EPCR,X *GET,SH18,NODE,3,EPCR,Y R8=SH8/67.5 R18=SH18/(-67.5) SET,,,,,,,104 *GET,SH9,NODE,3,EPCR,X *GET,SH19,NODE,3,EPCR,Y R9=SH9/135.0 R19=SH19/(-135.0) *DIM,VALUE,,9,6 *DIM,LABEL,CHAR,10 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,0.0,0.0135,0.135,0.675,1.35,6.75,13.5,67.5,135.0 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 *VFILL,VALUE(1,4),DATA,0.0,-0.0135,-0.135,-0.675,-1.35,-6.75,-13.5,-67.5,-135.0 *VFILL,VALUE(1,5),DATA,SH11,SH12,SH13,SH14,SH15,SH16,SH17,SH18,SH19 *VFILL,VALUE(1,6),DATA,R11,R12,R13,R14,R15,R16,R17,R18,R19 /COM /COM /COM,-------------------- vmr027-cr3a-281 RESULTS COMPARISON ---------------------/COM, /COM,| TIME | TARGETX | Mechanical APDL | RATIO | TARGETY | Mechanical APDL /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3), VALUE(1,4),VALUE(1,5),VALUE(1,6) (1X,A8,' ',F8.3,' ',F8.3,' ',1F13.3,' ',F13.3,' ',F8.3,' ',F13.3) FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR6X ',' ECR6Y ' *VFILL,VALUE1(1,1),DATA,SH9,SH19 *VFILL,VALUE1(1,2),DATA,R9,R19 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr027-','cr3a-281' /OUT,vmr027-cr3a-281,vrt /COM /COM,----------------- vmr027-cr3a RESULTS COMPARISON ------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL281 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT

1950


|

RATIO

VM-R027-3B 181 Input Listing FINISH *LIST,vmr027-cr3a-281,vrt

VM-R027-3B 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr3b-181 /TITLE,vmr027-cr3b-181,2D PLANE STRESS-BIAXIAL DISPLACEMENT SECONDARY CREEP /COM, REFERENCE: TEST 3(B) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(SECONDARY CREEP)*** *SET,C1,3.125E-14 *SET,C2,5 *SET,C3,0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 ET,1,181,,, R,1,1,1,1,1, E,1,2,3,4 E,4,3,5,6 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y, D,ALL,UY, NSEL,ALL D,ALL,ROTX D,ALL,ROTY D,2,UZ,0 FINISH /SOLU NSEL,S,LOC,X,100 D,ALL,UX,0.1 NSEL,ALL NSEL,S,LOC,Y,100 D,ALL,UY,-0.1 NSEL,ALL RATE,ON,ON TIME,1E-8 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,0.1 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,1.0 /OUTPUT,SCRATCH SOLVE


1951

NAFEMS Input Listings /OUT RATE,ON,ON NSUBST,10,10,10 TIME,5.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,10.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,50.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,5,5,5 TIME,100.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,500.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,100,100,100 TIME,1000 /OUTPUT,SCRATCH SOLVE /OUT /POST26 ESOL,2,1,,S,X PLVAR,2 /AXLAB,X,TIME /AXLAB,Y,STRESS /XRANGE,0,1000 /YRANGE,0,40 FINISH /POST1 SET,1 *GET,SH1,NODE,3,S,X R1=SH1/153.85 SET,2 *GET,SH2,NODE,3,S,X R2=SH2/76.29 SET,3 *GET,SH3,NODE,3,S,X R3=SH3/43.42 SET,4 *GET,SH4,NODE,3,S,X R4=SH4/29.11 SET,5 *GET,SH5,NODE,3,S,X R5=SH5/24.45 SET,6 *GET,SH6,NODE,3,S,X R6=SH6/16.33 SET,7 *GET,SH7,NODE,3,S,X R7=SH7/13.78 SET,8 *GET,SH8,NODE,3,S,X R8=SH8/9.20

1952


VM-R027-3B 182 Input Listing SET,9 *GET,SH9,NODE,3,S,X R9=SH9/7.73 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,153.85,76.29,43.42,29.11,24.45,16.33,13.78,9.20,7.73 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /COM /COM /COM,----------- vmr027-cr3b-181 RESULTS COMPARISON ------------/COM, /COM, vmr027-cr3b-181.jpeg RESULTS SHOULD MATCH R0027 NAFEMS MANUAL /COM, GRAPH RESULTS OF TEST 3(B). /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR6X ',' ECR6Y ' *VFILL,VALUE1(1,1),DATA,SH9 *VFILL,VALUE1(1,2),DATA,R9 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr027-','cr3b-181' /OUT,vmr027-cr3b-181,vrt /COM /COM,------------------- vmr027-cr3b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL181 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr3b-181,vrt

VM-R027-3B 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr3b-182 /TITLE,vmr027-cr3b-182, 2D PLANE STRESS-BIAXIAL DISPLACEMENT SECONDARY CREEP /COM, REFERENCE: TEST 3(B) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(SECONDARY CREEP)*** *SET,C1,3.125E-14 *SET,C2,5 *SET,C3,0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,6


1953

NAFEMS Input Listings TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 ET,1,182 KEYOPT,1,1,1 KEYOPT,1,3,0 E,1,2,3,4 E,4,3,5,6 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y, D,ALL,UY, NSEL,ALL /SOLU NSEL,S,LOC,X,100 D,ALL,UX,0.1 NSEL,ALL NSEL,S,LOC,Y,100 D,ALL,UY,-0.1 NSEL,ALL RATE,ON,ON TIME,1E-8 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,0.1 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,1.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,5.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,10.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,50.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,5,5,5 TIME,100.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,500.0 /OUTPUT,SCRATCH SOLVE

1954


VM-R027-3B 182 Input Listing /OUT RATE,ON,ON NSUBST,100,100,100 TIME,1000 /OUTPUT,SCRATCH SOLVE /OUT /POST26 ESOL,2,1,,S,X PLVAR,2 /AXLAB,X,TIME /AXLAB,Y,STRESS /XRANGE,0,1000 /YRANGE,0,40 FINISH /POST1 SET,1 *GET,SH1,NODE,3,S,X R1=SH1/153.85 SET,2 *GET,SH2,NODE,3,S,X R2=SH2/76.29 SET,3 *GET,SH3,NODE,3,S,X R3=SH3/43.42 SET,4 *GET,SH4,NODE,3,S,X R4=SH4/29.11 SET,5 *GET,SH5,NODE,3,S,X R5=SH5/24.45 SET,6 *GET,SH6,NODE,3,S,X R6=SH6/16.33 SET,7 *GET,SH7,NODE,3,S,X R7=SH7/13.78 SET,8 *GET,SH8,NODE,3,S,X R8=SH8/9.20 SET,9 *GET,SH9,NODE,3,S,X R9=SH9/7.73 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,153.85,76.29,43.42,29.11,24.45,16.33,13.78,9.20,7.73 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /COM /COM /COM,----------- vmr027-cr3b-182 RESULTS COMPARISON ------------/COM, /COM, vmr027-cr3b-182.jpeg RESULTS SHOULD MATCH R0027 NAFEMS MANUAL /COM, GRAPH RESULTS OF TEST 3(B). /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR6X ',' ECR6Y ' *VFILL,VALUE1(1,1),DATA,SH9 *VFILL,VALUE1(1,2),DATA,R9 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr027-','cr3b-182'


1955


/OUT,vmr027-cr3b-182,vrt /COM /COM,------------------- vmr027-cr3b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr3b-182,vrt

VM-R027-3B 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr3b-183 /TITLE,vmr027-cr3b-183,2D PLANE STRESS-BIAXIAL DISPLACEMENT SECONDARY CREEP /COM, REFERENCE: TEST 3(B) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(SECONDARY CREEP)*** *SET,C1,3.125E-14 *SET,C2,5 *SET,C3,0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 ET,1,183 KEYOPT,1,3,0 E,1,2,3,4,5,6,7,8 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y, D,ALL,UY, NSEL,ALL /SOLU NSEL,S,LOC,X,100 D,ALL,UX,0.1 NSEL,ALL NSEL,S,LOC,Y,100 D,ALL,UY,-0.1 NSEL,ALL RATE,ON,ON TIME,1E-8 /OUTPUT,SCRATCH SOLVE

1956


VM-R027-3B 183 Input Listing /OUT RATE,ON,ON NSUBST,10,10,10 TIME,0.1 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,1.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,5.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,10.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,50.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,5,5,5 TIME,100.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,500.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,100,100,100 TIME,1000 /OUTPUT,SCRATCH SOLVE /OUT /POST26 ESOL,2,1,,S,X PLVAR,2 /AXLAB,X,TIME /AXLAB,Y,STRESS /XRANGE,0,1000 /YRANGE,0,40 FINISH /POST1 SET,1 *GET,SH1,NODE,3,S,X R1=SH1/153.85 SET,2 *GET,SH2,NODE,3,S,X R2=SH2/76.29 SET,3 *GET,SH3,NODE,3,S,X R3=SH3/43.42 SET,4 *GET,SH4,NODE,3,S,X R4=SH4/29.11


1957

NAFEMS Input Listings SET,5 *GET,SH5,NODE,3,S,X R5=SH5/24.45 SET,6 *GET,SH6,NODE,3,S,X R6=SH6/16.33 SET,7 *GET,SH7,NODE,3,S,X R7=SH7/13.78 SET,8 *GET,SH8,NODE,3,S,X R8=SH8/9.20 SET,9 *GET,SH9,NODE,3,S,X R9=SH9/7.73 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,153.85,76.29,43.42,29.11,24.45,16.33,13.78,9.20,7.73 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /COM /COM /COM,----------- vmr027-cr3b-183 RESULTS COMPARISON ------------/COM, /COM, vmr027-cr3b-183.jpeg RESULTS SHOULD MATCH R0027 NAFEMS MANUAL /COM, GRAPH RESULTS OF TEST 3(B). /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR6X ',' ECR6Y ' *VFILL,VALUE1(1,1),DATA,SH9 *VFILL,VALUE1(1,2),DATA,R9 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr027-','cr3b-183' /OUT,vmr027-cr3b-183,vrt /COM /COM,------------------- vmr027-cr3b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr3b-183,vrt

VM-R027-3B 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr3b-281 /TITLE,vmr027-cr3b-281,2D PLANE STRESS-BIAXIAL DISPLACEMENT SECONDARY CREEP /COM, REFERENCE: TEST 3(B) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(SECONDARY CREEP)*** *SET,C1,3.125E-14

1958


VM-R027-3B 281 Input Listing *SET,C2,5 *SET,C3,0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 N,7,50,0 N,8,100,25 N,9,50,50 N,10,0,25 N,11,100,75 N,12,50,100 N,13,0,75 ET,1,SHELL281,,, R,1,1,1,1,1, E,1,2,3,4,7,8,9,10 E,4,3,5,6,9,11,12,13 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y, D,ALL,UY, NSEL,ALL D,ALL,ROTX D,ALL,ROTY D,9,UZ,0 FINISH /SOLU NSEL,S,LOC,X,100 D,ALL,UX,0.1 NSEL,ALL NSEL,S,LOC,Y,100 D,ALL,UY,-0.1 NSEL,ALL RATE,ON,ON TIME,1E-8 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,0.1 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,1.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,5.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,10.0


1959

NAFEMS Input Listings /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,50.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,5,5,5 TIME,100.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,10,10,10 TIME,500.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,100,100,100 TIME,1000 /OUTPUT,SCRATCH SOLVE /OUT /POST26 ESOL,2,1,,S,X PLVAR,2 /AXLAB,X,TIME /AXLAB,Y,STRESS /XRANGE,0,1000 /YRANGE,0,40 FINISH /POST1 SET,1 *GET,SH1,NODE,3,S,X R1=SH1/153.85 SET,2 *GET,SH2,NODE,3,S,X R2=SH2/76.29 SET,3 *GET,SH3,NODE,3,S,X R3=SH3/43.42 SET,4 *GET,SH4,NODE,3,S,X R4=SH4/29.11 SET,5 *GET,SH5,NODE,3,S,X R5=SH5/24.45 SET,6 *GET,SH6,NODE,3,S,X R6=SH6/16.33 SET,7 *GET,SH7,NODE,3,S,X R7=SH7/13.78 SET,8 *GET,SH8,NODE,3,S,X R8=SH8/9.20 SET,9 *GET,SH9,NODE,3,S,X R9=SH9/7.73 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,153.85,76.29,43.42,29.11,24.45,16.33,13.78,9.20,7.73 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /COM /COM /COM,----------- vmr027-cr3b-281 RESULTS COMPARISON -------------

1960


VM-R027-4C 181 Input Listing /COM, /COM, vmr027-cr3b-281.jpeg RESULTS SHOULD MATCH R0027 NAFEMS MANUAL /COM, GRAPH RESULTS OF TEST 3(B). /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR6X ',' ECR6Y ' *VFILL,VALUE1(1,1),DATA,SH9 *VFILL,VALUE1(1,2),DATA,R9 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr027-','cr3b-281' /OUT,vmr027-cr3b-281,vrt /COM /COM,------------------- vmr027-cr3b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL281 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr3b-281,vrt /OUT,SCRATCH

VM-R027-4C 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr4c-181 /TITLE,vmr027-cr4c-181,2D PLANE STRESS-SHEAR LOADING SECONDARY CREEP /COM,THE COMPARISON IS MADE GRAPHICALLY AND QUANTITATIVELY WITH /COM,THE RESULTS OF THE TEST4(C) FROM THE NAFEMS R0027 REPORT. /PREP7 TAU=100.0 L=100 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,3.125E-14 *SET,C2,5 *SET,C3,0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 N,9,50,50 ET,1,181,,,


1961

NAFEMS Input Listings R,1,1,1,1,1, E,1,5,9,8 E,5,2,6,9 E,9,6,3,7 E,8,9,7,4 NSEL,S,LOC,X, NSEL,R,LOC,Y, D,ALL,UX, D,ALL,UY, NSEL,ALL NSEL,S,LOC,X, NSEL,R,LOC,Y,100 D,ALL,UX, NSEL,ALL D,7,UZ,0 D,5,ROTX,0 D,5,ROTY,0 FINISH /SOLU F,1,FX,-L*TAU/4 F,5,FX,-L*TAU/2 F,2,FX,-L*TAU/4 F,2,FY,L*TAU/4 F,6,FY,L*TAU/2 F,3,FY,L*TAU/4 F,3,FX,L*TAU/4 F,7,FX,L*TAU/2 F,4,FX,L*TAU/4 F,4,FY,-L*TAU/4 F,8,FY,-L*TAU/2 F,1,FY,-L*TAU/4 RATE, ON DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,0.10,0.0999,0.10 TIME, 0.10 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,1.0,0.999,1.0 TIME, 1.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,5.0,4.999,5.0 TIME, 5.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,10.0,9.999,10.0 TIME, 10.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 /OUTPUT,SCRATCH

1962


VM-R027-4C 181 Input Listing OUTRES,ALL,ALL SOLVE /OUT FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /GTHK,AXIS,1 /GRTYP,0 /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,DIVX,5 /GROPT,DIVY,9 /XRANGE,0,1000 /YRANGE,0,9 ESOL,2,1,,EPCR,XY PLVAR,2 PRVAR,2 /POST1 SET,1,1 *GET,SH1,NODE,3,EPCR,XY R1=1 SET,2,1 *GET,SH2,NODE,3,EPCR,XY R2=SH2/0.000844 SET,3,1 *GET,SH3,NODE,3,EPCR,XY R3=SH3/0.0084375 SET,4,1 *GET,SH4,NODE,3,EPCR,XY R4=SH4/0.042188 SET,,,,,,,5 *GET,SH5,NODE,3,EPCR,XY R5=SH5/0.084375 SET,,,,,,,9 *GET,SH6,NODE,3,EPCR,XY R6=SH6/0.421875 SET,,,,,,,14 *GET,SH7,NODE,3,EPCR,XY R7=SH7/0.84375 SET,,,,,,,54 *GET,SH8,NODE,3,EPCR,XY R8=SH8/4.21875 SET,,,,,,,104 *GET,SH9,NODE,3,EPCR,XY R9=SH9/8.4375 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,13 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,0.0, 0.000844, 0.0084375,0.042188,0.084375,0.421875,0.84375,4.21875,8.4375 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /COM /COM,--------- vmr027-cr4c-181 RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.5,' ',F13.5,' ',1F13.3) FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3


1963

NAFEMS Input Listings LABEL1(1) = ' ECR2X ',' ECR2Y ' *VFILL,VALUE1(1,1),DATA,SH9 *VFILL,VALUE1(1,2),DATA,R9 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr027-','cr4c-181' /OUT,vmr027-cr4c-181,vrt /COM /COM,------------------- vmr027-cr4c RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL181 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr4c-181,vrt

VM-R027-4C 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr4c-182 /TITLE,vmr027-cr4c-182,2D PLANE STRESS-SHEAR LOADING SECONDARY CREEP /COM,THE COMPARISON IS MADE GRAPHICALLY AND QUANTITATIVELY WITH /COM,THE RESULTS OF THE TEST4(C) FROM THE NAFEMS R0027 REPORT. /PREP7 TAU=100.0 L=100 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,3.125E-14 *SET,C2,5 *SET,C3,0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 N,9,50,50 ET,1,182 KEYOPT,1,1,1 KEYOPT,1,3,0 E,1,5,9,8 E,5,2,6,9 E,9,6,3,7 E,8,9,7,4 NSEL,S,LOC,X, NSEL,R,LOC,Y, D,ALL,UX, D,ALL,UY, NSEL,ALL

1964


VM-R027-4C 182 Input Listing NSEL,S,LOC,X, NSEL,R,LOC,Y,100 D,ALL,UX, NSEL,ALL /SOLU F,1,FX,-L*TAU/4 F,5,FX,-L*TAU/2 F,2,FX,-L*TAU/4 F,2,FY,L*TAU/4 F,6,FY,L*TAU/2 F,3,FY,L*TAU/4 F,3,FX,L*TAU/4 F,7,FX,L*TAU/2 F,4,FX,L*TAU/4 F,4,FY,-L*TAU/4 F,8,FY,-L*TAU/2 F,1,FY,-L*TAU/4 RATE, ON DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,0.10,0.0999,0.10 TIME, 0.10 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,1.0,0.999,1.0 TIME, 1.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,5.0,4.999,5.0 TIME, 5.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,10.0,9.999,10.0 TIME, 10.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN


1965

NAFEMS Input Listings /GTHK,AXIS,1 /GRTYP,0 /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,DIVX,5 /GROPT,DIVY,9 /XRANGE,0,1000 /YRANGE,0,9 ESOL,2,1,,EPCR,XY PLVAR,2 PRVAR,2 FINISH /POST1 SET,1,1 *GET,SH1,NODE,3,EPCR,XY R1=1 SET,2,1 *GET,SH2,NODE,3,EPCR,XY R2=SH2/0.000844 SET,3,1 *GET,SH3,NODE,3,EPCR,XY R3=SH3/0.0084375 SET,4,1 *GET,SH4,NODE,3,EPCR,XY R4=SH4/0.042188 SET,,,,,,,5 *GET,SH5,NODE,3,EPCR,XY R5=SH5/0.084375 SET,,,,,,,9 *GET,SH6,NODE,3,EPCR,XY R6=SH6/0.421875 SET,,,,,,,14 *GET,SH7,NODE,3,EPCR,XY R7=SH7/0.84375 SET,,,,,,,54 *GET,SH8,NODE,3,EPCR,XY R8=SH8/4.21875 SET,,,,,,,104 *GET,SH9,NODE,3,EPCR,XY R9=SH9/8.4375 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,13 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,0.0, 0.000844, 0.0084375,0.042188,0.084375,0.421875,0.84375,4.21875,8.4375 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /COM /COM,--------- vmr027-cr4c-182 RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.5,' ',F11.5,' ',1F14.3) FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR2X ',' ECR2Y ' *VFILL,VALUE1(1,1),DATA,SH9 *VFILL,VALUE1(1,2),DATA,R9 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr027-','cr4c-182' /OUT,vmr027-cr4c-182,vrt /COM /COM,------------------- vmr027-cr4c RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182

1966


VM-R027-4C 183 Input Listing *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F8.3,' ',F16.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr4c-182,vrt

VM-R027-4C 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr4c-183 /TITLE,vmr027-cr4c-183,2D PLANE STRESS-SHEAR LOADING SECONDARY CREEP /COM,THE COMPARISON IS MADE GRAPHICALLY AND QUANTITATIVELY WITH THE /COM,RESULTS OF THE TEST4(C) FROM THE NAFEMS R0027 REPORT. /PREP7 TAU=100.0 L=100 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,3.125E-14 *SET,C2,5 *SET,C3,0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 ET,1,183 KEYOPT,1,3,0 E,1,2,3,4,5,6,7,8 NSEL,S,LOC,X, NSEL,R,LOC,Y, D,ALL,UX, D,ALL,UY, NSEL,ALL NSEL,S,LOC,X, NSEL,R,LOC,Y,100 D,ALL,UX, D,ALL,UY NSEL,ALL FINISH /SOLU F,1,FX,-L*TAU/6 F,5,FX,-L*TAU*2/3 F,2,FX,-L*TAU/6 F,2,FY,L*TAU/6 F,6,FY,L*TAU*2/3 F,3,FY,L*TAU/6 F,3,FX,L*TAU/6 F,7,FX,L*TAU*2/3 F,4,FX,L*TAU/6 F,4,FY,-L*TAU/6


1967

NAFEMS Input Listings F,8,FY,-L*TAU*2/3 F,1,FY,-L*TAU/6 RATE, ON DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,0.10,0.0999,0.10 TIME, 0.10 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,1.0,0.999,1.0 TIME, 1.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,5.0,4.999,5.0 TIME, 5.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,10.0,9.999,10.0 TIME, 10.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /GTHK,AXIS,1 /GRTYP,0 /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,DIVX,5 /GROPT,DIVY,9 /XRANGE,0,1000 /YRANGE,0,9 ESOL,2,1,,EPCR,XY PLVAR,2 PRVAR,2 FINISH /POST1 SET,1,1 *GET,SH1,NODE,3,EPCR,XY

1968


VM-R027-4C 281 Input Listing R1=1.000 SET,2,1 *GET,SH2,NODE,3,EPCR,XY R2=SH2/0.000844 SET,3,1 *GET,SH3,NODE,3,EPCR,XY R3=SH3/0.0084375 SET,4,1 *GET,SH4,NODE,3,EPCR,XY R4=SH4/0.042188 SET,,,,,,,5 *GET,SH5,NODE,3,EPCR,XY R5=SH5/0.084375 SET,,,,,,,9 *GET,SH6,NODE,3,EPCR,XY R6=SH6/0.421875 SET,,,,,,,14 *GET,SH7,NODE,3,EPCR,XY R7=SH7/0.84375 SET,,,,,,,54 *GET,SH8,NODE,3,EPCR,XY R8=SH8/4.21875 SET,,,,,,,104 *GET,SH9,NODE,3,EPCR,XY R9=SH9/8.4375 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,13 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,0.0, 0.000844, 0.0084375,0.042188,0.084375,0.421875,0.84375,4.21875,8.4375 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /COM /COM,--------- vmr027-cr4c-183 RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.5,' ',F12.5,' ',1F12.3) FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR2X ',' ECR2Y ' *VFILL,VALUE1(1,1),DATA,SH9 *VFILL,VALUE1(1,2),DATA,R9 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr027-','cr4c-183' /OUT,vmr027-cr4c-183,vrt /COM /COM,------------------- vmr027-cr4c RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F12.3,' ',F12.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr4c-183,vrt

VM-R027-4C 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr4c-281


1969

NAFEMS Input Listings /TITLE,vmr027-cr4c-281,2D PLANE STRESS-SHEAR LOADING SECONDARY CREEP /COM,THE COMPARISON IS MADE GRAPHICALLY AND QUANTITATIVELY WITH THE /COM,RESULTS OF THE TEST4(C) FROM THE NAFEMS R0027 REPORT. /PREP7 TAU=100.0 L=100 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,3.125E-14 *SET,C2,5 *SET,C3,0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 ET,1,281 R,1,1,1,1,1 E,1,2,3,4,5,6,7,8 NSEL,S,LOC,X, NSEL,R,LOC,Y, D,ALL,ALL NSEL,ALL NSEL,S,LOC,X, NSEL,R,LOC,Y,100 D,ALL,UX D,ALL,UY D,ALL,UZ NSEL,ALL FINISH /SOLU F,1,FX,-L*TAU/6 F,5,FX,-L*TAU*2/3 F,2,FX,-L*TAU/6 F,2,FY,L*TAU/6 F,6,FY,L*TAU*2/3 F,3,FY,L*TAU/6 F,3,FX,L*TAU/6 F,7,FX,L*TAU*2/3 F,4,FX,L*TAU/6 F,4,FY,-L*TAU/6 F,8,FY,-L*TAU*2/3 F,1,FY,-L*TAU/6 RATE, ON DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,0.10,0.0999,0.10 TIME, 0.10 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,1.0,0.999,1.0 TIME, 1.0

1970


VM-R027-4C 281 Input Listing /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,5.0,4.999,5.0 TIME, 5.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,10.0,9.999,10.0 TIME, 10.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /GTHK,AXIS,1 /GRTYP,0 /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,DIVX,5 /GROPT,DIVY,9 /XRANGE,0,1000 /YRANGE,0,9 ESOL,2,1,,EPCR,XY PLVAR,2 PRVAR,2 FINISH /POST1 SET,1,1 *GET,SH1,NODE,3,EPCR,XY R1=1.000 SET,2,1 *GET,SH2,NODE,3,EPCR,XY R2=SH2/0.000844 SET,3,1 *GET,SH3,NODE,3,EPCR,XY R3=SH3/0.0084375 SET,4,1 *GET,SH4,NODE,3,EPCR,XY R4=SH4/0.042188 SET,,,,,,,5 *GET,SH5,NODE,3,EPCR,XY R5=SH5/0.084375 SET,,,,,,,9 *GET,SH6,NODE,3,EPCR,XY R6=SH6/0.421875 SET,,,,,,,14 *GET,SH7,NODE,3,EPCR,XY R7=SH7/0.84375 SET,,,,,,,54 *GET,SH8,NODE,3,EPCR,XY


1971

NAFEMS Input Listings R8=SH8/4.21875 SET,,,,,,,104 *GET,SH9,NODE,3,EPCR,XY R9=SH9/8.4375 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,13 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,0.0, 0.000844, 0.0084375,0.042188,0.084375,0.421875,0.84375,4.21875,8.4375 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /COM /COM,--------- vmr027-cr4c-281 RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.5,' ',F12.5,' ',1F12.3) FINISH *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR2X ',' ECR2Y ' *VFILL,VALUE1(1,1),DATA,SH9 *VFILL,VALUE1(1,2),DATA,R9 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr027-','cr4c-281' /OUT,vmr027-cr4c-281,vrt /COM /COM,------------------- vmr027-cr4c RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE281 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F12.3,' ',F12.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT *LIST,vmr027-cr4c-281,vrt

VM-R027-5B 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr5b-182 /TITLE,vmr027-cr5b-182,2D PLANE STRAIN-BIAXIAL DISPLACEMENT SECONDARY CREEP /COM, REFERENCE: TEST 5(B) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS !*** *SET,C1,3.125E-14 *SET,C2,5.0 *SET,C3,0.0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 SAVE N,1 N,2,100 N,3,100,100 N,4,0,100 ET,1,182,1,,2 E,1,2,3,4

1972


VM-R027-5B 182 Input Listing NSEL,ALL NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,X,100 D,ALL,UX,0.1 NSEL,S,LOC,Y,100 D,ALL,UY,0.05 NSEL,ALL FINI /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 ESOL,2,1,,S,X ESOL,3,1,,S,Y ESOL,4,1,,S,Z PRVAR,2,3,4 /AXLAB,X,TIME /AXLAB,Y,STRESS /YRANGE,250,330 PLVAR,2 /POST1 SET,1,1 *GET,SH13,NODE,3,S,X R13=SH13/326.92 SET,2,1


1973

NAFEMS Input Listings *GET,SH23,NODE,3,S,X R23=SH23/314.79 SET,3,1 *GET,SH33,NODE,3,S,X R33=SH33/292.41 SET,4,1 *GET,SH43,NODE,3,S,X R43=SH43/278.97 SET,,,,,,,5 *GET,SH53,NODE,3,S,X R53=SH53/274.41 SET,,,,,,,9 *GET,SH63,NODE,3,S,X R63=SH63/266.34 SET,,,,,,,14 *GET,SH73,NODE,3,S,X R73=SH73/263.76 SET,,,,,,,54 *GET,SH83,NODE,3,S,X R83=SH83/259.21 SET,,,,,,,104 *GET,SH93,NODE,3,S,X R93=SH93/257.74 *DIM,VALUE3,,9,3 *DIM,LABEL3,CHAR,10 LABEL3(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE3(1,1),DATA,326.92,314.79,292.41,278.97,274.41,266.34,263.76,259.21,257.74 *VFILL,VALUE3(1,2),DATA,SH13,SH23,SH33,SH43,SH53,SH63,SH73,SH83,SH93 *VFILL,VALUE3(1,3),DATA,R13,R23,R33,R43,R53,R63,R73,R83,R93 /COM /COM /COM,--------- vmr027-cr5b-182 RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL3(1), VALUE3(1,1), VALUE3(1,2), VALUE3(1,3) (1X,A8,' ',F8.3,' ',F12.3,' ',1F12.3) /SHOW,CLOSE FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR6X ',' ECR6Y ' *VFILL,VALUE1(1,1),DATA,SH93 *VFILL,VALUE1(1,2),DATA,R93 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr027-','cr5b-182' /OUT,vmr027-cr5b-182,vrt /COM /COM,------------------- vmr027-cr5b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F12.3,' ',F12.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr5b-182,vrt

VM-R027-5B 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150

1974


VM-R027-5B 183 Input Listing /VERIFY,vmr027-cr5b-183 /TITLE,vmr027-cr5b-183, 2D PLANE STRAIN-BIAXIAL DISPLACEMENT SECONDARY CREEP /COM, REFERENCE: TEST 5(B) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS !*** *SET,C1,3.125E-14 *SET,C2,5.0 *SET,C3,0.0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 SAVE N,1 N,2,100 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 ET,1,183,,,2 E,1,2,3,4,5,6,7,8 NSEL,ALL NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,X,100 D,ALL,UX,0.1 NSEL,S,LOC,Y,100 D,ALL,UY,0.05 NSEL,ALL FINISH /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON


1975

NAFEMS Input Listings DELT,10.0,9.99,10.0 TIME, 10.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 ESOL,2,1,,S,X ESOL,3,1,,S,Y ESOL,4,1,,S,Z PRVAR,2,3,4 /AXLAB,Y,STRESS /AXLAB,X,TIME /YRANGE,250,330 PLVAR,2 /POST1 SET,1,1 *GET,SH12,NODE,3,S,X R12=SH12/326.92 SET,2,1 *GET,SH22,NODE,3,S,X R22=SH22/314.79 SET,3,1 *GET,SH32,NODE,3,S,X R32=SH32/292.41 SET,4,1 *GET,SH42,NODE,3,S,X R42=SH42/278.97 SET,,,,,,,5 *GET,SH52,NODE,3,S,X R52=SH52/274.41 SET,,,,,,,9 *GET,SH62,NODE,3,S,X R62=SH62/266.34 SET,,,,,,,14 *GET,SH72,NODE,3,S,X R72=SH72/263.76 SET,,,,,,,54 *GET,SH82,NODE,3,S,X R82=SH82/259.21 SET,,,,,,,104 *GET,SH92,NODE,3,S,X R92=SH92/257.74 *DIM,VALUE2,,9,3 *DIM,LABEL2,CHAR,10 LABEL2(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE2(1,1),DATA,326.92,314.79,292.41,278.97,274.41,266.34,263.76,259.21,257.74 *VFILL,VALUE2(1,2),DATA,SH12,SH22,SH32,SH42,SH52,SH62,SH72,SH82,SH92 *VFILL,VALUE2(1,3),DATA,R12,R22,R32,R42,R52,R62,R72,R82,R92 /COM /COM /COM,--------- vmr027-cr5b-183 RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL2(1), VALUE2(1,1), VALUE2(1,2), VALUE2(1,3) (1X,A8,' ',F8.3,' ',F12.3,' ',1F12.3) /SHOW,CLOSE FINISH /POST26

1976


VM-R027-6B 185 Input Listing *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR6X ',' ECR6Y ' *VFILL,VALUE1(1,1),DATA,SH92 *VFILL,VALUE1(1,2),DATA,R92 *DIM,LABEL3,CHAR,2 LABEL3(1) = 'vmr027-','cr5b-183' /OUT,vmr027-cr5b-183,vrt /COM /COM,------------------- vmr027-cr5b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL3(1),LABEL3(2) (1X,A8,' ',F12.3,' ',F12.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr5b-183,vrt

VM-R027-6B 185 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr6b-185 /TITLE,vmr027-cr6b-185,3D TRIAXIAL DISPLACEMENT SECONDARY CREEP /COM, REFRENCE: TEST 6(B) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS !*** *SET,C1,3.125E-14 *SET,C2,5.0 *SET,C3,0.0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,0.2000E+06 MP,EY,1,0.2000E+06 MP,EZ,1,0.2000E+06 MP,GXY,1,0.7692E+05 MP,GYZ,1,0.7692E+05 MP,GXZ,1,0.7692E+05 MP,NUXY,1,0.3000E+00 MP,NUYZ,1,0.3000E+00 MP,NUXZ,1,0.3000E+00 MP,DENS,1,0.0000E+00 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 SAVE ET,1,SOLID185 KEYOPT,1,1,0 KEYOPT,1,2,1 KEYOPT,1,4,0 KEYOPT,1,5,0 KEYOPT,1,6,0 BLOCK,0,100,0,100,0,100, ESIZE,50,0, VMESH,ALL NSEL,ALL NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y


1977

NAFEMS Input Listings D,ALL,UY NSEL,S,LOC,Z,100 D,ALL,UZ NSEL,S,LOC,X,100 D,ALL,UX,0.3 NSEL,S,LOC,Y,100 D,ALL,UY,0.2 NSEL,S,LOC,Z D,ALL,UZ,-0.1 NSEL,ALL *DO,I,1,2,1 *IF,I,EQ,2,THEN /PREP7 TB,HILL,1 TBDATA,1, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 *ENDIF /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH *IF,I,EQ,1,THEN /POST26 ESOL,2,1,,S,X /AXLAB,X,TIME /AXLAB,Y,STRESS /COLOR,CURVE,RED,1 /YRANGE,1000,1160 PLVAR,2

1978


VM-R027-6B 185 Input Listing PRVAR,2 FINISH /POST1 SET,1,1 *GET,SH1,NODE,1,S,X R1=SH1/1153.85 SET,2,1 *GET,SH2,NODE,1,S,X R2=SH2/1076.29 SET,3,1 *GET,SH3,NODE,1,S,X R3=SH3/1043.42 SET,4,1 *GET,SH4,NODE,1,S,X R4=SH4/1029.11 SET,,,,,,,5 *GET,SH5,NODE,1,S,X R5=SH5/1024.45 SET,,,,,,,9 *GET,SH6,NODE,1,S,X R6=SH6/1016.33 SET,,,,,,,14 *GET,SH7,NODE,1,S,X R7=SH7/1013.78 SET,,,,,,,54 *GET,SH8,NODE,1,S,X R8=SH8/1009.20 SET,,,,,,,104 *GET,SH9,NODE,1,S,X R9=SH9/1007.73 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,1153.85,1076.29,1043.42,1029.11,1024.45,1016.33,1013.78,1009.20,1007.73 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 *ENDIF *IF,I,EQ,2,THEN /COM, /COM, ANISOTROPIC CREEP MODELED AS ISOTROPIC /COM, /POST26 ESOL,3,1,,S,X PRVAR,3 /AXLAB,X,TIME /AXLAB,Y,STRESS /YRANGE,1000,1160 /COLOR,CURVE,BLUE,1 PLVAR,3 /POST1 SET,1,1 *GET,SH12,NODE,1,S,X R12=SH12/1153.85 SET,2,1 *GET,SH13,NODE,1,S,X R13=SH13/1076.29 SET,3,1 *GET,SH14,NODE,1,S,X R14=SH14/1043.42 SET,4,1 *GET,SH15,NODE,1,S,X R15=SH15/1029.11 SET,,,,,,,5 *GET,SH16,NODE,1,S,X R16=SH16/1024.45 SET,,,,,,,9 *GET,SH17,NODE,1,S,X R17=SH17/1016.33 SET,,,,,,,14


1979

NAFEMS Input Listings *GET,SH18,NODE,1,S,X R18=SH18/1013.78 SET,,,,,,,54 *GET,SH19,NODE,1,S,X R19=SH19/1009.20 SET,,,,,,,104 *GET,SH20,NODE,1,S,X R20=SH20/1007.73 *DIM,VALUE2,,9,3 *DIM,LABEL2,CHAR,10 LABEL2(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE2(1,1),DATA,1153.85,1076.29,1043.42,1029.11,1024.45,1016.33,1013.78,1009.20,1007.73 *VFILL,VALUE2(1,2),DATA,SH12,SH13,SH14,SH15,SH16,SH17,SH18,SH19,SH20 *VFILL,VALUE2(1,3),DATA,R12,R13,R14,R15,R16,R17,R18,R19,R20 *ENDIF *ENDDO /COM /COM /COM,--------- vmr027-cr6b-185 ISOTROPIC RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F12.3,' ',1F12.3) /COM /COM /COM,--------- vmr027-cr6b-185 ANISOTROPIC RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL2(1), VALUE2(1,1), VALUE2(1,2), VALUE2(1,3) (1X,A8,' ',F8.3,' ',F12.3,' ',1F12.3) FINISH

/POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ISOCRX ',' ANICRX ' *VFILL,VALUE1(1,1),DATA,SH9,SH20 *VFILL,VALUE1(1,2),DATA,R9,R20 *DIM,LABEL3,CHAR,2 LABEL3(1) = 'vmr027-','cr6b-185' /OUT,vmr027-cr6b-185,vrt /COM /COM,------------------- vmr027-cr6b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SOLID185 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL3(1),LABEL3(2) (1X,A8,' ',F12.3,' ',F12.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL3(1),LABEL3(2) (1X,A8,' ',F12.3,' ',F12.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr6b-185,vrt

VM-R027-6B 186 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr6b-186 /TITLE,vmr027-cr6b-186,3D TRIXIAL DISPLACEMENT SECONDARY CREEP /COM, REFRENCE: TEST 6(B) FROM NAFEMS R0027.

1980


VM-R027-6B 186 Input Listing

/PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS !*** *SET,C1,3.125E-14 *SET,C2,5.0 *SET,C3,0.0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,0.2000E+06 MP,EY,1,0.2000E+06 MP,EZ,1,0.2000E+06 MP,GXY,1,0.7692E+05 MP,GYZ,1,0.7692E+05 MP,GXZ,1,0.7692E+05 MP,NUXY,1,0.3000E+00 MP,NUYZ,1,0.3000E+00 MP,NUXZ,1,0.3000E+00 MP,DENS,1,0.0000E+00 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 SAVE ET,1,SOLID186 KEYOPT,1,5,0 KEYOPT,1,6,0 KEYOPT,1,11,0 BLOCK,0,100,0,100,0,100, ESIZE,100,0, VMESH,ALL NSEL,ALL NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Z,100 D,ALL,UZ NSEL,S,LOC,X,100 D,ALL,UX,0.3 NSEL,S,LOC,Y,100 D,ALL,UY,0.2 NSEL,S,LOC,Z D,ALL,UZ,-0.1 NSEL,ALL *DO,I,1,2,1 *IF,I,EQ,2,THEN /PREP7 TB,HILL,1 TBDATA,1, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 *ENDIF /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0


1981

NAFEMS Input Listings OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH *IF,I,EQ,1,THEN /POST26 ESOL,2,1,,S,X /AXLAB,X,TIME /AXLAB,Y,STRESS /COLOR,CURVE,RED,1 /YRANGE,1000,1160 PLVAR,2 PRVAR,2 FINISH /POST1 SET,1,1 *GET,SH1,NODE,1,S,X R1=SH1/1153.85 SET,2,1 *GET,SH2,NODE,1,S,X R2=SH2/1076.29 SET,3,1 *GET,SH3,NODE,1,S,X R3=SH3/1043.42 SET,4,1 *GET,SH4,NODE,1,S,X R4=SH4/1029.11 SET,,,,,,,5 *GET,SH5,NODE,1,S,X R5=SH5/1024.45 SET,,,,,,,9 *GET,SH6,NODE,1,S,X R6=SH6/1016.33 SET,,,,,,,14 *GET,SH7,NODE,1,S,X R7=SH7/1013.78 SET,,,,,,,54 *GET,SH8,NODE,1,S,X R8=SH8/1009.20 SET,,,,,,,104 *GET,SH9,NODE,1,S,X R9=SH9/1007.73 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,1153.85,1076.29,1043.42,1029.11,1024.45,1016.33,1013.78,1009.20,1007.73 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9

1982


VM-R027-6B 186 Input Listing *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 *ENDIF *IF,I,EQ,2,THEN /COM, /COM, ANISOTROPIC CREEP MODELED AS ISOTROPIC /COM, /POST26 ESOL,3,1,,S,X PRVAR,3 /AXLAB,X,TIME /AXLAB,Y,STRESS /COLOR,CURVE,BLUE,1 /YRANGE,1000,1160 PLVAR,3 /POST1 SET,1,1 *GET,SH12,NODE,1,S,X R12=SH12/1153.85 SET,2,1 *GET,SH13,NODE,1,S,X R13=SH13/1076.29 SET,3,1 *GET,SH14,NODE,1,S,X R14=SH14/1043.42 SET,4,1 *GET,SH15,NODE,1,S,X R15=SH15/1029.11 SET,,,,,,,5 *GET,SH16,NODE,1,S,X R16=SH16/1024.45 SET,,,,,,,9 *GET,SH17,NODE,1,S,X R17=SH17/1016.33 SET,,,,,,,14 *GET,SH18,NODE,1,S,X R18=SH18/1013.78 SET,,,,,,,54 *GET,SH19,NODE,1,S,X R19=SH19/1009.20 SET,,,,,,,104 *GET,SH20,NODE,1,S,X R20=SH20/1007.73 *DIM,VALUE2,,9,3 *DIM,LABEL2,CHAR,10 LABEL2(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE2(1,1),DATA,1153.85,1076.29,1043.42,1029.11,1024.45,1016.33,1013.78,1009.20,1007.73 *VFILL,VALUE2(1,2),DATA,SH12,SH13,SH14,SH15,SH16,SH17,SH18,SH19,SH20 *VFILL,VALUE2(1,3),DATA,R12,R13,R14,R15,R16,R17,R18,R19,R20 *ENDIF *ENDDO /COM /COM,--------- vmr027-cr6b-186 ISOTROPIC RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F12.3,' ',1F12.3) /COM, /COM, /COM,--------- vmr027-cr6b-186 ANISOTROPIC RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL2(1), VALUE2(1,1), VALUE2(1,2), VALUE2(1,3) (1X,A8,' ',F8.3,' ',F12.3,' ',1F12.3) FINISH /POST26 *DIM,LABEL1,CHAR,2


1983

NAFEMS Input Listings *DIM,VALUE1,,2,3 LABEL1(1) = ' ISOCRX ',' ANICRX ' *VFILL,VALUE1(1,1),DATA,SH9,SH20 *VFILL,VALUE1(1,2),DATA,R9,R20 *DIM,LABEL3,CHAR,2 LABEL3(1) = 'vmr027-','cr6b-186' /OUT,vmr027-cr6b-186,vrt /COM /COM,------------------- vmr027-cr6b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SOLID186 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL3(1),LABEL3(2) (1X,A8,' ',F12.3,' ',F12.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL3(1),LABEL3(2) (1X,A8,' ',F12.3,' ',F12.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr6b-186,vrt

VM-R027-6B 187 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr6b-187 /TITLE,vmr027-cr6b-187,3D TRIAXIAL DISPLACEMENT SECONDARY CREEP /COM, REFRENCE: TEST 6(B) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS !*** *SET,C1,3.125E-14 *SET,C2,5.0 *SET,C3,0.0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,0.2000E+06 MP,EY,1,0.2000E+06 MP,EZ,1,0.2000E+06 MP,GXY,1,0.7692E+05 MP,GYZ,1,0.7692E+05 MP,GXZ,1,0.7692E+05 MP,NUXY,1,0.3000E+00 MP,NUYZ,1,0.3000E+00 MP,NUXZ,1,0.3000E+00 MP,DENS,1,0.0000E+00 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 SAVE ET,1,SOLID187 BLOCK,0,100,0,100,0,100, ESIZE,100,0, VMESH,ALL NSEL,ALL NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Z,100 D,ALL,UZ NSEL,S,LOC,X,100

1984


VM-R027-6B 187 Input Listing D,ALL,UX,0.3 NSEL,S,LOC,Y,100 D,ALL,UY,0.2 NSEL,S,LOC,Z D,ALL,UZ,-0.1 NSEL,ALL *DO,I,1,2,1 *IF,I,EQ,2,THEN /PREP7 TB,HILL,1 TBDATA,1, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 *ENDIF /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH *IF,I,EQ,1,THEN /POST26 ESOL,2,1,,S,X /AXLAB,X,TIME /AXLAB,Y,STRESS /COLOR,CURVE,RED,1 /YRANGE,1000,1160 PLVAR,2 PRVAR,2 FINISH


1985

NAFEMS Input Listings /POST1 SET,1,1 *GET,SH1,NODE,1,S,X R1=SH1/1153.85 SET,2,1 *GET,SH2,NODE,1,S,X R2=SH2/1076.29 SET,3,1 *GET,SH3,NODE,1,S,X R3=SH3/1043.42 SET,4,1 *GET,SH4,NODE,1,S,X R4=SH4/1029.11 SET,,,,,,,5 *GET,SH5,NODE,1,S,X R5=SH5/1024.45 SET,,,,,,,9 *GET,SH6,NODE,1,S,X R6=SH6/1016.33 SET,,,,,,,14 *GET,SH7,NODE,1,S,X R7=SH7/1013.78 SET,,,,,,,54 *GET,SH8,NODE,1,S,X R8=SH8/1009.20 SET,,,,,,,104 *GET,SH9,NODE,1,S,X R9=SH9/1007.73 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,1153.85,1076.29,1043.42,1029.11,1024.45,1016.33,1013.78,1009.20,1007.73 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 *ENDIF *IF,I,EQ,2,THEN /COM, /COM, ANISOTROPIC CREEP MODELED AS ISOTROPIC /COM, /POST26 ESOL,3,1,,S,X PRVAR,3 /AXLAB,X,TIME /AXLAB,Y,STRESS /COLOR,CURVE,BLUE,1 /YRANGE,1000,1160 PLVAR,3 /POST1 SET,1,1 *GET,SH12,NODE,1,S,X R12=SH12/1153.85 SET,2,1 *GET,SH13,NODE,1,S,X R13=SH13/1076.29 SET,3,1 *GET,SH14,NODE,1,S,X R14=SH14/1043.42 SET,4,1 *GET,SH15,NODE,1,S,X R15=SH15/1029.11 SET,,,,,,,5 *GET,SH16,NODE,1,S,X R16=SH16/1024.45 SET,,,,,,,9 *GET,SH17,NODE,1,S,X R17=SH17/1016.33 SET,,,,,,,14 *GET,SH18,NODE,1,S,X R18=SH18/1013.78

1986


VM-R027-10A 181 Input Listing SET,,,,,,,54 *GET,SH19,NODE,1,S,X R19=SH19/1009.20 SET,,,,,,,104 *GET,SH20,NODE,1,S,X R20=SH20/1007.73 *DIM,VALUE2,,9,3 *DIM,LABEL2,CHAR,10 LABEL2(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE2(1,1),DATA,1153.85,1076.29,1043.42,1029.11,1024.45,1016.33,1013.78,1009.20,1007.73 *VFILL,VALUE2(1,2),DATA,SH12,SH13,SH14,SH15,SH16,SH17,SH18,SH19,SH20 *VFILL,VALUE2(1,3),DATA,R12,R13,R14,R15,R16,R17,R18,R19,R20 *ENDIF *ENDDO /COM /COM,--------- vmr027-cr6b-187 ISOTROPIC RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F12.3,' ',1F12.3) /COM, /COM, /COM,--------- vmr027-cr6b-187 ANISOTROPIC RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL2(1), VALUE2(1,1), VALUE2(1,2), VALUE2(1,3) (1X,A8,' ',F8.3,' ',F12.3,' ',1F12.3) FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ISOCRX ',' ANICRX ' *VFILL,VALUE1(1,1),DATA,SH9,SH20 *VFILL,VALUE1(1,2),DATA,R9,R20 *DIM,LABEL3,CHAR,2 LABEL3(1) = 'vmr027-','cr6b-187' /OUT,vmr027-cr6b-187,vrt /COM /COM,------------------- vmr027-cr6b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SOLID187 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL3(1),LABEL3(2) (1X,A8,' ',F12.3,' ',F12.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL3(1),LABEL3(2) (1X,A8,' ',F12.3,' ',F12.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr6b-187,vrt

VM-R027-10A 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr10a-181 /TITLE,vmr027-cr10a-181,2D PLANE STRESS-BIAXIAL LOAD PRIMARY CREEP /COM, REFERENCE: TEST 10(A) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (PRIMARY CREEP)!*** *SET,C1,1.5625E-14


1987

NAFEMS Input Listings *SET,C2,5.0 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 SAVE N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 ET,1,181,,, R,1,1,1,1,1, E,1,2,3,4 E,4,3,5,6 NSEL,ALL NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,ALL /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL NSEL,S,LOC,Y,100 SF,ALL,PRES,200 NSEL,ALL D,ALL,UZ D,ALL,ROTZ FINISH /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0

1988


VM-R027-10A 181 Input Listing TIME, 10.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y ESOL,4,1,,EPCR,EQV PRVAR,2,3,4 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN PLVAR,2,3,4 /POST1 SET,1,1 *GET,SH1,NODE,3,EPCR,X R1=1.0 SET,2,1 *GET,SH2,NODE,3,EPCR,X R2=SH2/0.0427 SET,3,1 *GET,SH3,NODE,3,EPCR,X R3=SH3/0.135 SET,4,1 *GET,SH4,NODE,3,EPCR,X R4=SH4/0.3019 SET,,,,,,,5 *GET,SH5,NODE,3,EPCR,X R5=SH5/0.4269 SET,,,,,,,9 *GET,SH6,NODE,3,EPCR,X R6=SH6/0.9546 SET,,,,,,,14 *GET,SH7,NODE,3,EPCR,X R7=SH7/1.35 SET,,,,,,,54 *GET,SH8,NODE,3,EPCR,X R8=SH8/3.019 SET,,,,,,,104 *GET,SH9,NODE,3,EPCR,X R9=SH9/4.2691 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,0.0000,0.0427,0.1350,0.3019,0.4269,0.9546,1.3500,3.0190,4.2691 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /POST1 SET,1,1 *GET,SH11,NODE,3,EPCR,EQV R11=1.0 SET,2,1 *GET,SH21,NODE,3,EPCR,EQV R21=SH21/(0.0493) SET,3,1 *GET,SH31,NODE,3,EPCR,EQV R31=SH31/(0.1559) SET,4,1 *GET,SH41,NODE,3,EPCR,EQV R41=SH41/(0.3486)


1989

NAFEMS Input Listings SET,,,,,,,5 *GET,SH51,NODE,3,EPCR,EQV R51=SH51/(0.4930) SET,,,,,,,9 *GET,SH61,NODE,3,EPCR,EQV R61=SH61/(1.1024) SET,,,,,,,14 *GET,SH71,NODE,3,EPCR,EQV R71=SH71/(1.5590) SET,,,,,,,54 *GET,SH81,NODE,3,EPCR,EQV R81=SH81/(3.4861) SET,,,,,,,104 *GET,SH91,NODE,3,EPCR,EQV R91=SH91/(4.9300) *DIM,VALUE1,,9,3 *DIM,LABEL1,CHAR,10 LABEL1(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE1(1,1),DATA,0.0000,0.0493,0.1559,0.3486,0.4930,1.1024,1.5590,3.4861,4.9300 *VFILL,VALUE1(1,2),DATA,SH11,SH21,SH31,SH41,SH51,SH61,SH71,SH81,SH91 *VFILL,VALUE1(1,3),DATA,R11,R21,R31,R41,R51,R61,R71,R81,R91 /COM /COM /COM,------------ vmr027-cr10a-181 RESULTS COMPARISON --------------/COM, /COM, vmr027-cr10a-181.jpeg RESULTS SHOULD MATCH R0027 NAFEMS MANUAL /COM, GRAPH AND NUMERICAL RESULTS IN TEST 10(A). /COM, /COM,--------- CREEP STRAIN RESULTS IN X DIRECTION ---------/COM, /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F5.3) /COM /COM,----------- CREEP EFFECTIVE STRAIN RESULTS ------------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL1(1), VALUE1(1,1), VALUE1(1,2), VALUE1(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F5.3) FINISH /POST26 *DIM,LABEL3,CHAR,2 *DIM,VALUE2,,2,3 LABEL3(1) = ' ECR6X ',' EFFCR ' *VFILL,VALUE2(1,1),DATA,SH9,SH91 *VFILL,VALUE2(1,2),DATA,R9,R91 *DIM,LABEL2,CHAR,3 LABEL2(1) = 'vmr027-','cr10a-18','1' /OUT,vmr027-cr10a-181,vrt /COM /COM,------------------- vmr027-cr10a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL181 *VWRITE,LABEL3(1),VALUE2(1,1),VALUE2(1,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) *VWRITE,LABEL3(2),VALUE2(2,1),VALUE2(2,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr10a-181,vrt

1990


VM-R027-10A 182 Input Listing

VM-R027-10A 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr10a-182 /TITLE,vmr027-cr10a-182,2D PLANE STRESS-BIAXIAL LOAD PRIMARY CREEP /COM, REFERENCE: TEST 10(A) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (PRIMARY CREEP)!*** *SET,C1,1.5625E-14 *SET,C2,5.0 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 SAVE N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 N,9,50,50 ET,1,182 KEYOPT,1,1,1 KEYOPT,1,3,0 E,1,5,9,8 E,5,2,6,9 E,9,6,3,7 E,8,9,7,4 NSEL,ALL NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,ALL /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL NSEL,S,LOC,Y,100 SF,ALL,PRES,200 NSEL,ALL /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 OUTRES,ALL,LAST OUTPR,ALL,LAST /OUT,SCRATCH SOLVE /OUT, RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE


1991

NAFEMS Input Listings /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y ESOL,4,1,,EPCR,EQV PRVAR,2,3,4 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN PLVAR,2,3,4 /POST1 SET,1,1 *GET,SH1,NODE,3,EPCR,X R1=1.0 SET,2,1 *GET,SH2,NODE,3,EPCR,X R2=SH2/0.0427 SET,3,1 *GET,SH3,NODE,3,EPCR,X R3=SH3/0.135 SET,4,1 *GET,SH4,NODE,3,EPCR,X R4=SH4/0.3019 SET,,,,,,,5 *GET,SH5,NODE,3,EPCR,X R5=SH5/0.4269 SET,,,,,,,9 *GET,SH6,NODE,3,EPCR,X R6=SH6/0.9546 SET,,,,,,,14 *GET,SH7,NODE,3,EPCR,X R7=SH7/1.35 SET,,,,,,,54 *GET,SH8,NODE,3,EPCR,X R8=SH8/3.019 SET,,,,,,,104 *GET,SH9,NODE,3,EPCR,X R9=SH9/4.2691 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0'

1992


VM-R027-10A 182 Input Listing *VFILL,VALUE(1,1),DATA,0.0000,0.0427,0.1350,0.3019,0.4269,0.9546,1.3500,3.0190,4.2691 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /POST1 SET,1,1 *GET,SH11,NODE,3,EPCR,EQV R11=1.0 SET,2,1 *GET,SH21,NODE,3,EPCR,EQV R21=SH21/(0.0493) SET,3,1 *GET,SH31,NODE,3,EPCR,EQV R31=SH31/(0.1559) SET,4,1 *GET,SH41,NODE,3,EPCR,EQV R41=SH41/(0.3486) SET,,,,,,,5 *GET,SH51,NODE,3,EPCR,EQV R51=SH51/(0.4930) SET,,,,,,,9 *GET,SH61,NODE,3,EPCR,EQV R61=SH61/(1.1024) SET,,,,,,,14 *GET,SH71,NODE,3,EPCR,EQV R71=SH71/(1.5590) SET,,,,,,,54 *GET,SH81,NODE,3,EPCR,EQV R81=SH81/(3.4861) SET,,,,,,,104 *GET,SH91,NODE,3,EPCR,EQV R91=SH91/(4.9300) *DIM,VALUE1,,9,3 *DIM,LABEL1,CHAR,10 LABEL1(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE1(1,1),DATA,0.0000,0.0493,0.1559,0.3486,0.4930,1.1024,1.5590,3.4861,4.9300 *VFILL,VALUE1(1,2),DATA,SH11,SH21,SH31,SH41,SH51,SH61,SH71,SH81,SH91 *VFILL,VALUE1(1,3),DATA,R11,R21,R31,R41,R51,R61,R71,R81,R91 /COM /COM /COM,------------ vmr027-cr10a-182 RESULTS COMPARISON --------------/COM, /COM, vmr027-cr10a-182.jpeg RESULTS SHOULD MATCH R0027 NAFEMS MANUAL /COM, GRAPH AND NUMERICAL RESULTS IN TEST 10(A). /COM, /COM,--------- CREEP STRAIN RESULTS IN X DIRECTION ---------/COM, /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F5.3) /COM /COM,----------- CREEP EFFECTIVE STRAIN RESULTS ------------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL1(1), VALUE1(1,1), VALUE1(1,2), VALUE1(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F5.3) FINISH /POST26 *DIM,LABEL3,CHAR,2 *DIM,VALUE2,,2,3 LABEL3(1) = ' ECR6X ',' EFFCR ' *VFILL,VALUE2(1,1),DATA,SH9,SH91 *VFILL,VALUE2(1,2),DATA,R9,R91 *DIM,LABEL2,CHAR,3 LABEL2(1) = 'vmr027-','cr10a-18','2' /OUT,vmr027-cr10a-182,vrt /COM


1993

NAFEMS Input Listings /COM,------------------- vmr027-cr10a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 *VWRITE,LABEL3(1),VALUE2(1,1),VALUE2(1,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) *VWRITE,LABEL3(2),VALUE2(2,1),VALUE2(2,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr10a-182,vrt

VM-R027-10A 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr10a-183 /TITLE,vmr027-cr10a-183,2D PLANE STRESS-BIAXIAL LOAD PRIMARY CREEP /COM, REFERENCE: TEST 10(A) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (PRIMARY CREEP)!*** *SET,C1,1.5625E-14 *SET,C2,5.0 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 SAVE N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 ET,1,183 KEYOPT,1,3,0 E,1,2,3,4,5,6,7,8 NSEL,ALL NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,ALL /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL NSEL,S,LOC,Y,100 SF,ALL,PRES,200 NSEL,ALL /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8

1994


VM-R027-10A 183 Input Listing TIME, 1.0E-8 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y ESOL,4,1,,EPCR,EQV PRVAR,2,3,4 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN PLVAR,2,3,4 /POST1 SET,1,1 *GET,SH1,NODE,3,EPCR,X R1=1.0 SET,2,1 *GET,SH2,NODE,3,EPCR,X R2=SH2/0.0427 SET,3,1 *GET,SH3,NODE,3,EPCR,X R3=SH3/0.135 SET,4,1 *GET,SH4,NODE,3,EPCR,X R4=SH4/0.3019 SET,,,,,,,5 *GET,SH5,NODE,3,EPCR,X R5=SH5/0.4269 SET,,,,,,,9 *GET,SH6,NODE,3,EPCR,X R6=SH6/0.9546 SET,,,,,,,14


1995

NAFEMS Input Listings *GET,SH7,NODE,3,EPCR,X R7=SH7/1.35 SET,,,,,,,54 *GET,SH8,NODE,3,EPCR,X R8=SH8/3.019 SET,,,,,,,104 *GET,SH9,NODE,3,EPCR,X R9=SH9/4.2691 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,0.0000,0.0427,0.1350,0.3019,0.4269,0.9546,1.3500,3.0190,4.2691 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /POST1 SET,1,1 *GET,SH11,NODE,3,EPCR,EQV R11=1.0 SET,2,1 *GET,SH21,NODE,3,EPCR,EQV R21=SH21/(0.0493) SET,3,1 *GET,SH31,NODE,3,EPCR,EQV R31=SH31/(0.1559) SET,4,1 *GET,SH41,NODE,3,EPCR,EQV R41=SH41/(0.3486) SET,,,,,,,5 *GET,SH51,NODE,3,EPCR,EQV R51=SH51/(0.4930) SET,,,,,,,9 *GET,SH61,NODE,3,EPCR,EQV R61=SH61/(1.1024) SET,,,,,,,14 *GET,SH71,NODE,3,EPCR,EQV R71=SH71/(1.5590) SET,,,,,,,54 *GET,SH81,NODE,3,EPCR,EQV R81=SH81/(3.4861) SET,,,,,,,104 *GET,SH91,NODE,3,EPCR,EQV R91=SH91/(4.9300) *DIM,VALUE1,,9,3 *DIM,LABEL1,CHAR,10 LABEL1(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE1(1,1),DATA,0.0000,0.0493,0.1559,0.3486,0.4930,1.1024,1.5590,3.4861,4.9300 *VFILL,VALUE1(1,2),DATA,SH11,SH21,SH31,SH41,SH51,SH61,SH71,SH81,SH91 *VFILL,VALUE1(1,3),DATA,R11,R21,R31,R41,R51,R61,R71,R81,R91 /COM /COM /COM,------------ vmr027-cr10a-183 RESULTS COMPARISON --------------/COM, /COM, vmr027-cr10a-183.jpeg RESULTS SHOULD MATCH R0027 NAFEMS MANUAL /COM, GRAPH AND NUMERICAL RESULTS IN TEST 10(A). /COM, /COM,--------- CREEP STRAIN RESULTS IN X DIRECTION ---------/COM, /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F5.3) /COM /COM,----------- CREEP EFFECTIVE STRAIN RESULTS ------------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL1(1), VALUE1(1,1), VALUE1(1,2), VALUE1(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F5.3) FINISH

1996


VM-R027-10A 281 Input Listing /POST26 *DIM,LABEL3,CHAR,2 *DIM,VALUE2,,2,3 LABEL3(1) = ' ECR6X ',' EFFCR ' *VFILL,VALUE2(1,1),DATA,SH9,SH91 *VFILL,VALUE2(1,2),DATA,R9,R91 *DIM,LABEL2,CHAR,3 LABEL2(1) = 'vmr027-','cr10a-18','3' /OUT,vmr027-cr10a-183,vrt /COM /COM,------------------- vmr027-cr10a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 *VWRITE,LABEL3(1),VALUE2(1,1),VALUE2(1,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) *VWRITE,LABEL3(2),VALUE2(2,1),VALUE2(2,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr10a-183,vrt

VM-R027-10A 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr10a-281 /TITLE,vmr027-cr10a-281,2D PLANE STRESS-BIAXIAL LOAD PRIMARY CREEP /COM, REFERENCE: TEST 10(A) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (PRIMARY CREEP)!*** *SET,C1,1.5625E-14 *SET,C2,5.0 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 SAVE N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 N,7,50,0 N,8,100,25 N,9,50,50 N,10,0,25 N,11,100,75 N,12,50,100 N,13,0,75 ET,1,SHELL281,,, R,1,1,1,1,1, E,1,2,3,4,7,8,9,10 E,4,3,5,6,9,11,12,13 NSEL,ALL NSEL,S,LOC,X


1997

NAFEMS Input Listings D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,ALL /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL NSEL,S,LOC,Y,100 SF,ALL,PRES,200 NSEL,ALL D,ALL,UZ D,ALL,ROTZ FINISH /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y ESOL,4,1,,EPCR,EQV PRVAR,2,3,4 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN PLVAR,2,3,4 /POST1 SET,1,1 *GET,SH1,NODE,3,EPCR,X R1=1.0 SET,2,1

1998


VM-R027-10A 281 Input Listing *GET,SH2,NODE,3,EPCR,X R2=SH2/0.0427 SET,3,1 *GET,SH3,NODE,3,EPCR,X R3=SH3/0.135 SET,4,1 *GET,SH4,NODE,3,EPCR,X R4=SH4/0.3019 SET,,,,,,,5 *GET,SH5,NODE,3,EPCR,X R5=SH5/0.4269 SET,,,,,,,9 *GET,SH6,NODE,3,EPCR,X R6=SH6/0.9546 SET,,,,,,,14 *GET,SH7,NODE,3,EPCR,X R7=SH7/1.35 SET,,,,,,,54 *GET,SH8,NODE,3,EPCR,X R8=SH8/3.019 SET,,,,,,,104 *GET,SH9,NODE,3,EPCR,X R9=SH9/4.2691 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,0.0000,0.0427,0.1350,0.3019,0.4269,0.9546,1.3500,3.0190,4.2691 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /POST1 SET,1,1 *GET,SH11,NODE,3,EPCR,EQV R11=1.0 SET,2,1 *GET,SH21,NODE,3,EPCR,EQV R21=SH21/(0.0493) SET,3,1 *GET,SH31,NODE,3,EPCR,EQV R31=SH31/(0.1559) SET,4,1 *GET,SH41,NODE,3,EPCR,EQV R41=SH41/(0.3486) SET,,,,,,,5 *GET,SH51,NODE,3,EPCR,EQV R51=SH51/(0.4930) SET,,,,,,,9 *GET,SH61,NODE,3,EPCR,EQV R61=SH61/(1.1024) SET,,,,,,,14 *GET,SH71,NODE,3,EPCR,EQV R71=SH71/(1.5590) SET,,,,,,,54 *GET,SH81,NODE,3,EPCR,EQV R81=SH81/(3.4861) SET,,,,,,,104 *GET,SH91,NODE,3,EPCR,EQV R91=SH91/(4.9300) *DIM,VALUE1,,9,3 *DIM,LABEL1,CHAR,10 LABEL1(1) = '0','0.1', '1.0', '5.0', '10.0', '50.0','100.0','500.0','1000.0' *VFILL,VALUE1(1,1),DATA,0.0000,0.0493,0.1559,0.3486,0.4930,1.1024,1.5590,3.4861,4.9300 *VFILL,VALUE1(1,2),DATA,SH11,SH21,SH31,SH41,SH51,SH61,SH71,SH81,SH91 *VFILL,VALUE1(1,3),DATA,R11,R21,R31,R41,R51,R61,R71,R81,R91 /COM /COM /COM,------------ vmr027-cr10a-281 RESULTS COMPARISON --------------/COM, /COM, vmr027-cr10a-281.jpeg RESULTS SHOULD MATCH R0027 NAFEMS MANUAL /COM, GRAPH AND NUMERICAL RESULTS IN TEST 10(A). /COM, /COM,--------- CREEP STRAIN RESULTS IN X DIRECTION ---------/COM,


1999

NAFEMS Input Listings /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F5.3) /COM /COM,----------- CREEP EFFECTIVE STRAIN RESULTS ------------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL1(1), VALUE1(1,1), VALUE1(1,2), VALUE1(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F5.3) FINISH /POST26 *DIM,LABEL3,CHAR,2 *DIM,VALUE2,,2,3 LABEL3(1) = ' ECR6X ',' EFFCR ' *VFILL,VALUE2(1,1),DATA,SH9,SH91 *VFILL,VALUE2(1,2),DATA,R9,R91 *DIM,LABEL2,CHAR,3 LABEL2(1) = 'vmr027-','cr10a-28','1' /OUT,vmr027-cr10a-281,vrt /COM /COM,------------------- vmr027-cr10a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL281 *VWRITE,LABEL3(1),VALUE2(1,1),VALUE2(1,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) *VWRITE,LABEL3(2),VALUE2(2,1),VALUE2(2,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr10a-281,vrt

VM-R027-10B 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr10b-181 /TITLE,vmr027-cr10b-181,2D PLANE STRESS-BIAXIAL DISPLACEMENT PRIMARY CREEP /COM, REFERENCE: TEST 10(B) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (TIME HARDENING)!*** *SET,C1,1.5625E-14 *SET,C2,5.0 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (STRAIN HARDENING)!*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 MP,EX,2,200E3 MP,NUXY,2,0.3 TB,CREEP,2,,,7 TBDATA,1,C1,C2,C3

2000


VM-R027-10B 181 Input Listing SAVE N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 N,9,50,50 ET,1,181,,, R,1,1,1,1,1, E,1,5,9,8 E,5,2,6,9 E,9,6,3,7 E,8,9,7,4 NSEL,ALL NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,ALL NSEL,S,LOC,X,100 D,ALL,UX,0.1 NSEL,ALL NSEL,S,LOC,Y,100 D,ALL,UY,-0.1 NSEL,ALL D,9,UZ,0 D,9,ROTY,0 D,5,ROTX,0 FINISH *DO,I,1,2 /PREP7 *IF,I,EQ,1,THEN /COM, /COM, TIME HARDENING CASE /COM, MAT,1 *ELSEIF,I,EQ,2,THEN /COM, /COM, STRAIN HARDENING CASE /COM, MPCHG,2,ALL *ENDIF /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0


2001

NAFEMS Input Listings OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 *IF,I,EQ,1,THEN ESOL,2,1,,S,X,TIMEHARD PRVAR,2 /AXLAB,X,TIME /AXLAB,Y,STRESS /YRANGE,0,160 /COLOR,CURVE,RED,1 PLVAR,2 /NOERASE /POST1 SET,1,1 *GET,SH1,NODE,3,S,X R1=SH1/153.85 SET,,,,,,,9 *GET,SH6,NODE,3,S,X R6=SH6/26.69 SET,,,,,,,14 *GET,SH7,NODE,3,S,X R7=SH7/24.45 SET,,,,,,,54 *GET,SH8,NODE,3,S,X R8=SH8/20.00 SET,,,,,,,104 *GET,SH9,NODE,3,S,X R9=SH9/18.34 *DIM,VALUE,,5,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,153.85,26.69,24.45,20.00,18.34 *VFILL,VALUE(1,2),DATA,SH1,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R6,R7,R8,R9 /COM /COM /COM,----------- vmr027-cr10b-181 TIME HARDENING RESULTS COMPARISON -----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') FINISH *ELSEIF,I,EQ,2,THEN /POST26 ESOL,3,1,,S,X,STRAINHA PRVAR,3 /AXLAB,X,TIME /AXLAB,Y,STRESS /YRANGE,0,160 /COLOR,CURVE,BLUE,1

2002


VM-R027-10B 182 Input Listing PLVAR,3 /POST1 SET,1,1 *GET,S1,NODE,3,S,X R11=S1/153.85 SET,,,,,,,9 *GET,S6,NODE,3,S,X R66=S6/35.96 SET,,,,,,,14 *GET,S7,NODE,3,S,X R77=S7/33.46 SET,,,,,,,54 *GET,S8,NODE,3,S,X R88=S8/28.06 SET,,,,,,,104 *GET,S9,NODE,3,S,X R99=S9/26.10 *DIM,VALUE2,,5,6 LABEL(1) = '0','50.0','100.0','500.0','1000.0' *VFILL,VALUE2(1,1),DATA,153.85,35.96,33.46,28.06,26.10 *VFILL,VALUE2(1,2),DATA,S1,S6,S7,S8,S9 *VFILL,VALUE2(1,3),DATA,R11,R66,R77,R88,R99 /COM /COM /COM,------------ vmr027-cr10b-181 STRAIN HARDENING RESULTS COMPARISON ------------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO | /COM, *VWRITE,LABEL(1), VALUE2(1,1), VALUE2(1,2), VALUE2(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') FINISH *ENDIF *ENDDO FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' S6 ',' S7 ' *VFILL,VALUE1(1,1),DATA,SH9,S9 *VFILL,VALUE1(1,2),DATA,R9,R99 *DIM,LABEL2,CHAR,3 LABEL2(1) = 'vmr027-','cr10b-18','1' /OUT,vmr027-cr10b-181,vrt /COM /COM,------------------- vmr027-cr10b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL181 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr10b-181,vrt

VM-R027-10B 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr10b-182 /TITLE,vmr027-cr10b-182,2D PLANE STRESS-BIAXIAL DISPLACEMENT PRIMARY CREEP


2003

NAFEMS Input Listings /COM, REFERENCE: TEST 10(B) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (TIME HARDENING)!*** *SET,C1,1.5625E-14 *SET,C2,5.0 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (STRAIN HARDENING)!*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 MP,EX,2,200E3 MP,NUXY,2,0.3 TB,CREEP,2,,,7 TBDATA,1,C1,C2,C3 SAVE N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 N,9,50,50 ET,1,182 KEYOPT,1,1,1 KEYOPT,1,3,0 E,1,5,9,8 E,5,2,6,9 E,9,6,3,7 E,8,9,7,4 NSEL,ALL NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,ALL NSEL,S,LOC,X,100 D,ALL,UX,0.1 NSEL,ALL NSEL,S,LOC,Y,100 D,ALL,UY,-0.1 NSEL,ALL *DO,I,1,2 /PREP7 *IF,I,EQ,1,THEN /COM, /COM, TIME HARDENING CASE /COM, MAT,1 *ELSEIF,I,EQ,2,THEN /COM, /COM, STRAIN HARDENING CASE /COM, MPCHG,2,ALL *ENDIF /SOLU RATE, OFF

2004


VM-R027-10B 182 Input Listing DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 *IF,I,EQ,1,THEN ESOL,2,1,,S,X,TIMEHARD PRVAR,2 /AXLAB,X,TIME /AXLAB,Y,STRESS /YRANGE,0,160 /COLOR,CURVE,RED,1 PLVAR,2 /NOERASE /POST1 SET,1,1 *GET,SH1,NODE,3,S,X R1=SH1/153.85 SET,,,,,,,9 *GET,SH6,NODE,3,S,X R6=SH6/26.69 SET,,,,,,,14 *GET,SH7,NODE,3,S,X R7=SH7/24.45 SET,,,,,,,54 *GET,SH8,NODE,3,S,X R8=SH8/20.00 SET,,,,,,,104 *GET,SH9,NODE,3,S,X R9=SH9/18.34 *DIM,VALUE,,5,3


2005

NAFEMS Input Listings *DIM,LABEL,CHAR,10 LABEL(1) = '0','50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,153.85,26.69,24.45,20.00,18.34 *VFILL,VALUE(1,2),DATA,SH1,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R6,R7,R8,R9 /COM /COM /COM,----------- vmr027-cr10b-182 TIME HARDENING RESULTS COMPARISON ------------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') FINISH *ELSEIF,I,EQ,2,THEN /POST26 ESOL,3,1,,S,X,STRAINHA PRVAR,3 /AXLAB,X,TIME /AXLAB,Y,STRESS /YRANGE,0,160 /COLOR,CURVE,BLUE,1 PLVAR,3 /POST1 SET,1,1 *GET,S1,NODE,3,S,X R11=S1/153.85 SET,,,,,,,9 *GET,S6,NODE,3,S,X R66=S6/35.96 SET,,,,,,,14 *GET,S7,NODE,3,S,X R77=S7/33.46 SET,,,,,,,54 *GET,S8,NODE,3,S,X R88=S8/28.06 SET,,,,,,,104 *GET,S9,NODE,3,S,X R99=S9/26.10 *DIM,VALUE2,,5,6 LABEL(1) = '0','50.0','100.0','500.0','1000.0' *VFILL,VALUE2(1,1),DATA,153.85,35.96,33.46,28.06,26.10 *VFILL,VALUE2(1,2),DATA,S1,S6,S7,S8,S9 *VFILL,VALUE2(1,3),DATA,R11,R66,R77,R88,R99 /COM /COM /COM,--------- vmr027-cr10b-182 STRAIN HARDENING RESULTS COMPARISON ---------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO | /COM, *VWRITE,LABEL(1), VALUE2(1,1), VALUE2(1,2), VALUE2(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') FINISH *ENDIF *ENDDO FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' S6 ',' S7 ' *VFILL,VALUE1(1,1),DATA,SH9,S9 *VFILL,VALUE1(1,2),DATA,R9,R99 *DIM,LABEL2,CHAR,3 LABEL2(1) = 'vmr027-','cr10b-18','2' /OUT,vmr027-cr10b-182,vrt /COM /COM,------------------- vmr027-cr10b RESULTS COMPARISON --------------------/COM,

2006


VM-R027-10B 183 Input Listing /COM, | Mechanical APDL | RATIO | INPUT /COM, /COM, PLANE182 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT

|

FINISH *LIST,vmr027-cr10b-182,vrt

VM-R027-10B 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr10b-183 /TITLE,vmr027-cr10b-183,2D PLANE STRESS-BIAXIAL DISPLACEMENT PRIMARY CREEP /COM, REFERENCE: TEST 10(B) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (TIME HARDENING)!*** *SET,C1,1.5625E-14 *SET,C2,5.0 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (STRAIN HARDENING)!*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 MP,EX,2,200E3 MP,NUXY,2,0.3 TB,CREEP,2,,,7 TBDATA,1,C1,C2,C3 SAVE N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 ET,1,183 KEYOPT,1,3,0 E,1,2,3,4,5,6,7,8 NSEL,ALL NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,ALL NSEL,S,LOC,X,100 D,ALL,UX,0.1 NSEL,ALL NSEL,S,LOC,Y,100 D,ALL,UY,-0.1 NSEL,ALL


2007


*DO,I,1,2 /PREP7 *IF,I,EQ,1,THEN /COM, /COM, TIME HARDENING CASE /COM, MAT,1 *ELSEIF,I,EQ,2,THEN /COM, /COM, STRAIN HARDENING CASE /COM, MPCHG,2,ALL *ENDIF /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 *IF,I,EQ,1,THEN ESOL,2,1,,S,X,TIMEHARD PRVAR,2 /AXLAB,X,TIME /AXLAB,Y,STRESS /YRANGE,0,160 /COLOR,CURVE,RED,1 PLVAR,2 /NOERASE

2008



/POST1 SET,1,1 *GET,SH1,NODE,3,S,X R1=SH1/153.85 SET,,,,,,,9 *GET,SH6,NODE,3,S,X R6=SH6/26.69 SET,,,,,,,14 *GET,SH7,NODE,3,S,X R7=SH7/24.45 SET,,,,,,,54 *GET,SH8,NODE,3,S,X R8=SH8/20.00 SET,,,,,,,104 *GET,SH9,NODE,3,S,X R9=SH9/18.34 *DIM,VALUE,,5,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,153.85,26.69,24.45,20.00,18.34 *VFILL,VALUE(1,2),DATA,SH1,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R6,R7,R8,R9 /COM /COM /COM,--------- vmr027-cr10b-183 TIME HARDENING RESULTS COMPARISON -----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') FINISH *ELSEIF,I,EQ,2,THEN /POST26 ESOL,3,1,,S,X,STRAINHA PRVAR,3 /AXLAB,X,TIME /AXLAB,Y,STRESS /YRANGE,0,160 /COLOR,CURVE,BLUE,1 PLVAR,3 /POST1 SET,1,1 *GET,S1,NODE,3,S,X R11=S1/153.85 SET,,,,,,,9 *GET,S6,NODE,3,S,X R66=S6/35.96 SET,,,,,,,14 *GET,S7,NODE,3,S,X R77=S7/33.46 SET,,,,,,,54 *GET,S8,NODE,3,S,X R88=S8/28.06 SET,,,,,,,104 *GET,S9,NODE,3,S,X R99=S9/26.10 *DIM,VALUE2,,5,6 LABEL(1) = '0','50.0','100.0','500.0','1000.0' *VFILL,VALUE2(1,1),DATA,153.85,35.96,33.46,28.06,26.10 *VFILL,VALUE2(1,2),DATA,S1,S6,S7,S8,S9 *VFILL,VALUE2(1,3),DATA,R11,R66,R77,R88,R99 /COM /COM /COM,-------- vmr027-cr10b-183 STRAIN HARDENING RESULTS COMPARISON --------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO | /COM, *VWRITE,LABEL(1), VALUE2(1,1), VALUE2(1,2), VALUE2(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ')


2009

NAFEMS Input Listings FINISH *ENDIF *ENDDO FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' S6 ',' S7 ' *VFILL,VALUE1(1,1),DATA,SH9,S9 *VFILL,VALUE1(1,2),DATA,R9,R99 *DIM,LABEL2,CHAR,3 LABEL2(1) = 'vmr027-','cr10b-18','3' /OUT,vmr027-cr10b-183,vrt /COM /COM,------------------- vmr027-cr10b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr10b-183,vrt

VM-R027-10B 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr10b-281 /TITLE,vmr027-cr10b-281,2D PLANE STRESS-BIAXIAL DISPLACEMENT PRIMARY CREEP /COM, REFERENCE: TEST 10(B) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (TIME HARDENING)!*** *SET,C1,1.5625E-14 *SET,C2,5.0 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (STRAIN HARDENING)!*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 MP,EX,2,200E3 MP,NUXY,2,0.3 TB,CREEP,2,,,7 TBDATA,1,C1,C2,C3 SAVE N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50

2010


VM-R027-10B 281 Input Listing N,7,50,100 N,8,0,50 N,9,50,50 N,10,25,0,0 N,11,75,0,0 N,12,0,25,0 N,13,50,25,0 N,14,100,25,0 N,15,25,50,0 N,16,75,50,0 N,17,0,75,0 N,18,50,75,0 N,19,100,75,0 N,20,25,100,0 N,21,75,100,0 ET,1,SHELL281,,, R,1,1,1,1,1, E,1,5,9,8,10,13,15,12 E,5,2,6,9,11,14,16,13 E,9,6,3,7,16,19,21,18 E,8,9,7,4,15,18,20,17 NSEL,ALL NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,ALL NSEL,S,LOC,X,100 D,ALL,UX,0.1 NSEL,ALL NSEL,S,LOC,Y,100 D,ALL,UY,-0.1 NSEL,ALL D,13,UZ,0 D,13,ROTY,0 D,13,ROTX,0 FINISH *DO,I,1,2 /PREP7 *IF,I,EQ,1,THEN /COM, /COM, TIME HARDENING CASE /COM, MAT,1 *ELSEIF,I,EQ,2,THEN /COM, /COM, STRAIN HARDENING CASE /COM, MPCHG,2,ALL *ENDIF /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT


2011

NAFEMS Input Listings RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 OUTRES,ALL,LAST /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 *IF,I,EQ,1,THEN ESOL,2,1,,S,X,TIMEHARD PRVAR,2 /AXLAB,X,TIME /AXLAB,Y,STRESS /YRANGE,0,160 /COLOR,CURVE,RED,1 PLVAR,2 /NOERASE /POST1 SET,1,1 *GET,SH1,NODE,3,S,X R1=SH1/153.85 SET,,,,,,,9 *GET,SH6,NODE,3,S,X R6=SH6/26.69 SET,,,,,,,14 *GET,SH7,NODE,3,S,X R7=SH7/24.45 SET,,,,,,,54 *GET,SH8,NODE,3,S,X R8=SH8/20.00 SET,,,,,,,104 *GET,SH9,NODE,3,S,X R9=SH9/18.34 *DIM,VALUE,,5,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,153.85,26.69,24.45,20.00,18.34 *VFILL,VALUE(1,2),DATA,SH1,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R6,R7,R8,R9 /COM /COM /COM,----------- vmr027-cr10b-281 TIME HARDENING RESULTS COMPARISON -----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') FINISH *ELSEIF,I,EQ,2,THEN /POST26 ESOL,3,1,,S,X,STRAINHA PRVAR,3 /AXLAB,X,TIME /AXLAB,Y,STRESS /YRANGE,0,160 /COLOR,CURVE,BLUE,1

2012


VM-R027-10C 181 Input Listing PLVAR,3 /POST1 SET,1,1 *GET,S1,NODE,3,S,X R11=S1/153.85 SET,,,,,,,9 *GET,S6,NODE,3,S,X R66=S6/35.96 SET,,,,,,,14 *GET,S7,NODE,3,S,X R77=S7/33.46 SET,,,,,,,54 *GET,S8,NODE,3,S,X R88=S8/28.06 SET,,,,,,,104 *GET,S9,NODE,3,S,X R99=S9/26.10 *DIM,VALUE2,,5,6 LABEL(1) = '0','50.0','100.0','500.0','1000.0' *VFILL,VALUE2(1,1),DATA,153.85,35.96,33.46,28.06,26.10 *VFILL,VALUE2(1,2),DATA,S1,S6,S7,S8,S9 *VFILL,VALUE2(1,3),DATA,R11,R66,R77,R88,R99 /COM /COM /COM,------------ vmr027-cr10b-281 STRAIN HARDENING RESULTS COMPARISON ------------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO | /COM, *VWRITE,LABEL(1), VALUE2(1,1), VALUE2(1,2), VALUE2(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') FINISH *ENDIF *ENDDO FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' S6 ',' S7 ' *VFILL,VALUE1(1,1),DATA,SH9,S9 *VFILL,VALUE1(1,2),DATA,R9,R99 *DIM,LABEL2,CHAR,3 LABEL2(1) = 'vmr027-','cr10b-28','1' /OUT,vmr027-cr10b-281,vrt /COM /COM,------------------- vmr027-cr10b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL281 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr10b-281,vrt

VM-R027-10C 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr10c-181 /TITLE,vmr027-cr10c-181,2D PLANE STRESS-BIAXIAL STEPPED LOAD PRIMARY CREEP /COM, REFERENCE: TEST 10(C) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)***


2013

NAFEMS Input Listings *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(STRAIN HARDENING)*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** ELASTIC CONSTANT MP,EX,2,200E3 MP,NUXY,2,0.3 TB,CREEP,2,,,7 TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 N,9,50,50 ET,1,181,,, R,1,1,1,1,1, E,1,5,9,8 E,5,2,6,9 E,9,6,3,7 E,8,9,7,4 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y, D,ALL,UY, NSEL,ALL D,ALL,UZ D,ALL,ROTX D,ALL,ROTY *DO,I,1,2 *STATUS,I /PREP7 *IF,I,EQ,1,THEN MAT,1 *ELSEIF,I,EQ,2,THEN MPCHG,2,ALL *ENDIF FINI /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL NSEL,S,LOC,Y,100 SF,ALL,PRES,200 NSEL,ALL RATE,ON,ON TIME,1E-8 /OUTPUT,SCRATCH SOLVE /OUT

2014


VM-R027-10C 181 Input Listing RATE,ON,ON NSUBST,20,20,20 TIME,1.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,20,20,20 TIME,10.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,20,20,20 TIME,50.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,50,50,50 TIME,100.0 /OUTPUT,SCRATCH SOLVE /OUT /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-250 NSEL,ALL NSEL,S,LOC,Y,100 SF,ALL,PRES,250 NSEL,ALL RATE,ON,ON NSUBST,50,50,50 TIME,110.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,50,50,50 TIME,120.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,50,50,50 TIME,150.0 /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON NSUBST,50,50,50 TIME,200 /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST1 *IF,I,EQ,1,THEN SET,,,,,,,1 *GET,S1,NODE,1,EPCR,X R1=1.00 SET,,,,,,,2 *GET,S2,NODE,1,EPCR,X R2=S2/0.135 SET,,,,,,,3 *GET,S3,NODE,1,EPCR,X R3=S3/0.4269 SET,,,,,,,4 *GET,S4,NODE,1,EPCR,X R4=S4/0.9546


2015

NAFEMS Input Listings SET,,,,,,,5 *GET,S5,NODE,1,EPCR,X R5=S5/1.35 SET,,,,,,,6 *GET,S6,NODE,1,EPCR,X R6=S6/1.5511 SET,,,,,,,7 *GET,S7,NODE,1,EPCR,X R7=S7/1.7433 SET,,,,,,,8 *GET,S8,NODE,1,EPCR,X R8=S8/2.276 SET,,,,,,,9 *GET,S9,NODE,1,EPCR,X R9=S9/3.0565 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','1.0', '10.0', '50.0', '100.0', '110.0','120.0','150.0','200.0' *VFILL,VALUE(1,1),DATA,0.0000,0.1350,0.4269,0.9546,1.3500,1.5511,1.7433,2.2760,3.0565 *VFILL,VALUE(1,2),DATA,S1,S2,S3,S4,S5,S6,S7,S8,S9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 *ELSEIF,I,EQ,2,THEN SET,,,,,,,1 *GET,SH1,NODE,1,EPCR,X R10=1.00 SET,,,,,,,2 *GET,SH2,NODE,1,EPCR,X R11=SH2/0.135 SET,,,,,,,3 *GET,SH3,NODE,1,EPCR,X R12=SH3/0.4269 SET,,,,,,,4 *GET,SH4,NODE,1,EPCR,X R13=SH4/0.9546 SET,,,,,,,5 *GET,SH5,NODE,1,EPCR,X R14=SH5/1.35 SET,,,,,,,6 *GET,SH6,NODE,1,EPCR,X R15=SH6/1.8762 SET,,,,,,,7 *GET,SH7,NODE,1,EPCR,X R16=SH7/2.2842 SET,,,,,,,8 *GET,SH8,NODE,1,EPCR,X R17=SH8/3.2108 SET,,,,,,,9 *GET,SH9,NODE,1,EPCR,X R18=SH9/4.3354 *DIM,VALUE2,,9,3 *DIM,LABEL2,CHAR,10 LABEL2(1) = '0','1.0', '10.0', '50.0', '100.0', '110.0','120.0','150.0','200.0' *VFILL,VALUE2(1,1),DATA,0.0000,0.1350,0.4269,0.9546,1.3500,1.8762,2.2842,3.2108,4.3354 *VFILL,VALUE2(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE2(1,3),DATA,R10,R11,R12,R13,R14,R15,R16,R17,R18 *ENDIF /POST26 *IF,I,EQ,1,THEN ESOL,2,1,,EPCR,X,TIMEHARD /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /XRANGE,0,200 /YRANGE,0,5 /COLOR,CURVE,BLUE,1 PLVAR,2 /NOERASE *ELSEIF,I,EQ,2,THEN ESOL,3,1,,EPCR,X,STRAINHA /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN

2016


VM-R027-10C 182 Input Listing /COLOR,CURVE,RED,1 /XRANGE,0,200 /YRANGE,0,5 PLVAR,3 *ENDIF *ENDDO /COM /COM /COM,----------- vmr027-cr10c-181 TIME HARDENING RESULTS COMPARISON ------------/COM, /COM, vmr027-cr10c-181.jpeg RESULTS SHOULD MATCH R0027 NAFEMS MANUAL /COM, GRAPH RESULTS OF TEST 10(C). /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') /COM, /COM, /COM,----------- vmr027-cr10c-181 STRAIN HARDENING RESULTS COMPARISON ------------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL2(1), VALUE2(1,1), VALUE2(1,2), VALUE2(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' S2 ',' S7 ' *VFILL,VALUE1(1,1),DATA,S9,SH9 *VFILL,VALUE1(1,2),DATA,R9,R18 *DIM,LABEL3,CHAR,3 LABEL3(1) = 'vmr027-','cr10c-18','1' /OUT,vmr027-cr10c-181,vrt /COM /COM,------------------- vmr027-cr10c RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL181 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL3(1),LABEL3(2),LABEL3(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL3(1),LABEL3(2),LABEL3(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr10c-181,vrt

VM-R027-10C 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr10c-182 /TITLE,vmr027-cr10c-182,2D PLANE STRESS-BIAXIAL STEPPED LOAD PRIMARY CREEP /COM, REFERENCE: TEST 10(C) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0


2017

NAFEMS Input Listings C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(STRAIN HARDENING)*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** ELASTIC CONSTANT MP,EX,2,200E3 MP,NUXY,2,0.3 TB,CREEP,2,,,7 TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 N,9,50,50 ET,1,182 KEYOPT,1,1,1 KEYOPT,1,3,0 E,1,5,9,8 E,5,2,6,9 E,9,6,3,7 E,8,9,7,4 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y, D,ALL,UY, NSEL,ALL *DO,I,1,2 *STATUS,I /PREP7 *IF,I,EQ,1,THEN MAT,1 *ELSEIF,I,EQ,2,THEN MPCHG,2,ALL *ENDIF FINI /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL NSEL,S,LOC,Y,100 SF,ALL,PRES,200 NSEL,ALL RATE,ON,ON TIME,1E-8 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,20,20,20 TIME,1.0 /OUTPUT,SCRATCH SOLVE /OUT

2018


VM-R027-10C 182 Input Listing RATE,ON,ON NSUBST,20,20,20 TIME,10.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,20,20,20 TIME,50.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,50,50,50 TIME,100.0 /OUTPUT,SCRATCH SOLVE /OUT /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-250 NSEL,ALL NSEL,S,LOC,Y,100 SF,ALL,PRES,250 NSEL,ALL RATE,ON,ON NSUBST,50,50,50 TIME,110.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,50,50,50 TIME,120.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,50,50,50 TIME,150.0 /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON NSUBST,50,50,50 TIME,200 /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST1 *IF,I,EQ,1,THEN SET,,,,,,,1 *GET,S1,NODE,1,EPCR,X R1=1.00 SET,,,,,,,2 *GET,S2,NODE,1,EPCR,X R2=S2/0.135 SET,,,,,,,3 *GET,S3,NODE,1,EPCR,X R3=S3/0.4269 SET,,,,,,,4 *GET,S4,NODE,1,EPCR,X R4=S4/0.9546 SET,,,,,,,5 *GET,S5,NODE,1,EPCR,X R5=S5/1.35 SET,,,,,,,6 *GET,S6,NODE,1,EPCR,X R6=S6/1.5511


2019

NAFEMS Input Listings SET,,,,,,,7 *GET,S7,NODE,1,EPCR,X R7=S7/1.7433 SET,,,,,,,8 *GET,S8,NODE,1,EPCR,X R8=S8/2.276 SET,,,,,,,9 *GET,S9,NODE,1,EPCR,X R9=S9/3.0565 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','1.0', '10.0', '50.0', '100.0', '110.0','120.0','150.0','200.0' *VFILL,VALUE(1,1),DATA,0.0000,0.1350,0.4269,0.9546,1.3500,1.5511,1.7433,2.2760,3.0565 *VFILL,VALUE(1,2),DATA,S1,S2,S3,S4,S5,S6,S7,S8,S9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 *ELSEIF,I,EQ,2,THEN SET,,,,,,,1 *GET,SH1,NODE,1,EPCR,X R10=1.00 SET,,,,,,,2 *GET,SH2,NODE,1,EPCR,X R11=SH2/0.135 SET,,,,,,,3 *GET,SH3,NODE,1,EPCR,X R12=SH3/0.4269 SET,,,,,,,4 *GET,SH4,NODE,1,EPCR,X R13=SH4/0.9546 SET,,,,,,,5 *GET,SH5,NODE,1,EPCR,X R14=SH5/1.35 SET,,,,,,,6 *GET,SH6,NODE,1,EPCR,X R15=SH6/1.8762 SET,,,,,,,7 *GET,SH7,NODE,1,EPCR,X R16=SH7/2.2842 SET,,,,,,,8 *GET,SH8,NODE,1,EPCR,X R17=SH8/3.2108 SET,,,,,,,9 *GET,SH9,NODE,1,EPCR,X R18=SH9/4.3354 *DIM,VALUE2,,9,3 *DIM,LABEL2,CHAR,10 LABEL2(1) = '0','1.0', '10.0', '50.0', '100.0', '110.0','120.0','150.0','200.0' *VFILL,VALUE2(1,1),DATA,0.0000,0.1350,0.4269,0.9546,1.3500,1.8762,2.2842,3.2108,4.3354 *VFILL,VALUE2(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE2(1,3),DATA,R10,R11,R12,R13,R14,R15,R16,R17,R18 *ENDIF /POST26 *IF,I,EQ,1,THEN ESOL,2,1,,EPCR,X,TIMEHARD /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /XRANGE,0,200 /YRANGE,0,5 /COLOR,CURVE,BLUE,1 PLVAR,2 /NOERASE *ELSEIF,I,EQ,2,THEN ESOL,3,1,,EPCR,X,STRAINHA /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /COLOR,CURVE,RED,1 /XRANGE,0,200 /YRANGE,0,5 PLVAR,3 *ENDIF *ENDDO

2020


VM-R027-10C 183 Input Listing

/COM /COM /COM,----------- vmr027-cr10c-182 TIME HARDENING RESULTS COMPARISON ------------/COM, /COM, vmr027-cr10c-182.jpeg RESULTS SHOULD MATCH R0027 NAFEMS MANUAL /COM, GRAPH RESULTS OF TEST 10(C). /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') /COM, /COM, /COM,----------- vmr027-cr10c-182 STRAIN HARDENING RESULTS COMPARISON ------------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL2(1), VALUE2(1,1), VALUE2(1,2), VALUE2(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' S2 ',' S7 ' *VFILL,VALUE1(1,1),DATA,S9,SH9 *VFILL,VALUE1(1,2),DATA,R9,R18 *DIM,LABEL3,CHAR,3 LABEL3(1) = 'vmr027-','cr10c-18','2' /OUT,vmr027-cr10c-182,vrt /COM /COM,------------------- vmr027-cr10c RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL3(1),LABEL3(2),LABEL3(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL3(1),LABEL3(2),LABEL3(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr10c-182,vrt

VM-R027-10C 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr10c-183 /TITLE,vmr027-cr10c-183,2D PLANE STRESS-BIAXIAL STEPPED LOAD PRIMARY CREEP /COM, REFERENCE: TEST 10(C) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT


2021

NAFEMS Input Listings TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(STRAIN HARDENING)*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** ELASTIC CONSTANT MP,EX,2,200E3 MP,NUXY,2,0.3 TB,CREEP,2,,,7 TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 ET,1,183 KEYOPT,1,3,0 E,1,2,3,4,5,6,7,8 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y, D,ALL,UY, NSEL,ALL *DO,I,1,2 *STATUS,I /PREP7 *IF,I,EQ,1,THEN MAT,1 *ELSEIF,I,EQ,2,THEN MPCHG,2,ALL *ENDIF FINI /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL NSEL,S,LOC,Y,100 SF,ALL,PRES,200 NSEL,ALL RATE,ON,ON TIME,1E-8 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,20,20,20 TIME,1.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,20,20,20 TIME,10.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,20,20,20 TIME,50.0 /OUTPUT,SCRATCH SOLVE

2022


VM-R027-10C 183 Input Listing /OUT RATE,ON,ON NSUBST,50,50,50 TIME,100.0 /OUTPUT,SCRATCH SOLVE /OUT /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-250 NSEL,ALL NSEL,S,LOC,Y,100 SF,ALL,PRES,250 NSEL,ALL RATE,ON,ON NSUBST,50,50,50 TIME,110.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,50,50,50 TIME,120.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,50,50,50 TIME,150.0 /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON NSUBST,50,50,50 TIME,200 /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST1 *IF,I,EQ,1,THEN SET,,,,,,,1 *GET,S1,NODE,1,EPCR,X R1=1.00 SET,,,,,,,2 *GET,S2,NODE,1,EPCR,X R2=S2/0.135 SET,,,,,,,3 *GET,S3,NODE,1,EPCR,X R3=S3/0.4269 SET,,,,,,,4 *GET,S4,NODE,1,EPCR,X R4=S4/0.9546 SET,,,,,,,5 *GET,S5,NODE,1,EPCR,X R5=S5/1.35 SET,,,,,,,6 *GET,S6,NODE,1,EPCR,X R6=S6/1.5511 SET,,,,,,,7 *GET,S7,NODE,1,EPCR,X R7=S7/1.7433 SET,,,,,,,8 *GET,S8,NODE,1,EPCR,X R8=S8/2.276 SET,,,,,,,9 *GET,S9,NODE,1,EPCR,X R9=S9/3.0565 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,10


2023

NAFEMS Input Listings LABEL(1) = '0','1.0', '10.0', '50.0', '100.0', '110.0','120.0','150.0','200.0' *VFILL,VALUE(1,1),DATA,0.0000,0.1350,0.4269,0.9546,1.3500,1.5511,1.7433,2.2760,3.0565 *VFILL,VALUE(1,2),DATA,S1,S2,S3,S4,S5,S6,S7,S8,S9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 *ELSEIF,I,EQ,2,THEN SET,,,,,,,1 *GET,SH1,NODE,1,EPCR,X R10=1.00 SET,,,,,,,2 *GET,SH2,NODE,1,EPCR,X R11=SH2/0.135 SET,,,,,,,3 *GET,SH3,NODE,1,EPCR,X R12=SH3/0.4269 SET,,,,,,,4 *GET,SH4,NODE,1,EPCR,X R13=SH4/0.9546 SET,,,,,,,5 *GET,SH5,NODE,1,EPCR,X R14=SH5/1.35 SET,,,,,,,6 *GET,SH6,NODE,1,EPCR,X R15=SH6/1.8762 SET,,,,,,,7 *GET,SH7,NODE,1,EPCR,X R16=SH7/2.2842 SET,,,,,,,8 *GET,SH8,NODE,1,EPCR,X R17=SH8/3.2108 SET,,,,,,,9 *GET,SH9,NODE,1,EPCR,X R18=SH9/4.3354 *DIM,VALUE2,,9,3 *DIM,LABEL2,CHAR,10 LABEL2(1) = '0','1.0', '10.0', '50.0', '100.0', '110.0','120.0','150.0','200.0' *VFILL,VALUE2(1,1),DATA,0.0000,0.1350,0.4269,0.9546,1.3500,1.8762,2.2842,3.2108,4.3354 *VFILL,VALUE2(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE2(1,3),DATA,R10,R11,R12,R13,R14,R15,R16,R17,R18 *ENDIF /POST26 *IF,I,EQ,1,THEN ESOL,2,1,,EPCR,X,TIMEHARD /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /XRANGE,0,200 /YRANGE,0,5 /COLOR,CURVE,BLUE,1 PLVAR,2 /NOERASE *ELSEIF,I,EQ,2,THEN ESOL,3,1,,EPCR,X,STRAINHA /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /COLOR,CURVE,RED,1 /XRANGE,0,200 /YRANGE,0,5 PLVAR,3 *ENDIF *ENDDO /COM /COM /COM,----------- vmr027-cr10c-183 TIME HARDENING RESULTS COMPARISON ------------/COM, /COM, vmr027-cr10c-183.jpeg RESULTS SHOULD MATCH R0027 NAFEMS MANUAL /COM, GRAPH RESULTS OF TEST 10(C). /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3)

2024


VM-R027-10C 281 Input Listing (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') /COM, /COM, /COM,----------- vmr027-cr10c-183 STRAIN HARDENING RESULTS COMPARISON ------------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL2(1), VALUE2(1,1), VALUE2(1,2), VALUE2(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' S2 ',' S7 ' *VFILL,VALUE1(1,1),DATA,S9,SH9 *VFILL,VALUE1(1,2),DATA,R9,R18 *DIM,LABEL3,CHAR,3 LABEL3(1) = 'vmr027-','cr10c-18','3' /OUT,vmr027-cr10c-183,vrt /COM /COM,------------------- vmr027-cr10c RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL3(1),LABEL3(2),LABEL3(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL3(1),LABEL3(2),LABEL3(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr10c-183,vrt

VM-R027-10C 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr10c-281 /TITLE,vmr027-cr10c-281,2D PLANE STRESS-BIAXIAL STEPPED LOAD PRIMARY CREEP /COM, REFERENCE: TEST 10(C) FROM NAFEMS R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(STRAIN HARDENING)*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** ELASTIC CONSTANT MP,EX,2,200E3 MP,NUXY,2,0.3 TB,CREEP,2,,,7


2025

NAFEMS Input Listings TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 N,9,50,50 N,10,25,0,0 N,11,75,0,0 N,12,0,25,0 N,13,50,25,0 N,14,100,25,0 N,15,25,50,0 N,16,75,50,0 N,17,0,75,0 N,18,50,75,0 N,19,100,75,0 N,20,25,100,0 N,21,75,100,0 ET,1,SHELL281,,, R,1,1,1,1,1, E,1,5,9,8,10,13,15,12 E,5,2,6,9,11,14,16,13 E,9,6,3,7,16,19,21,18 E,8,9,7,4,15,18,20,17 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y, D,ALL,UY, NSEL,ALL D,ALL,UZ D,ALL,ROTX D,ALL,ROTY *DO,I,1,2 *STATUS,I /PREP7 *IF,I,EQ,1,THEN MAT,1 *ELSEIF,I,EQ,2,THEN MPCHG,2,ALL *ENDIF FINI /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL NSEL,S,LOC,Y,100 SF,ALL,PRES,200 NSEL,ALL RATE,ON,ON TIME,1E-8 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,20,20,20 TIME,1.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,20,20,20 TIME,10.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,20,20,20

2026


VM-R027-10C 281 Input Listing TIME,50.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,50,50,50 TIME,100.0 /OUTPUT,SCRATCH SOLVE /OUT /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-250 NSEL,ALL NSEL,S,LOC,Y,100 SF,ALL,PRES,250 NSEL,ALL RATE,ON,ON NSUBST,50,50,50 TIME,110.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,50,50,50 TIME,120.0 /OUTPUT,SCRATCH SOLVE /OUT RATE,ON,ON NSUBST,50,50,50 TIME,150.0 /OUTPUT,SCRATCH SOLVE /OUT RATE, ON, ON NSUBST,50,50,50 TIME,200 /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST1 *IF,I,EQ,1,THEN SET,,,,,,,1 *GET,S1,NODE,1,EPCR,X R1=1.00 SET,,,,,,,2 *GET,S2,NODE,1,EPCR,X R2=S2/0.135 SET,,,,,,,3 *GET,S3,NODE,1,EPCR,X R3=S3/0.4269 SET,,,,,,,4 *GET,S4,NODE,1,EPCR,X R4=S4/0.9546 SET,,,,,,,5 *GET,S5,NODE,1,EPCR,X R5=S5/1.35 SET,,,,,,,6 *GET,S6,NODE,1,EPCR,X R6=S6/1.5511 SET,,,,,,,7 *GET,S7,NODE,1,EPCR,X R7=S7/1.7433 SET,,,,,,,8 *GET,S8,NODE,1,EPCR,X R8=S8/2.276 SET,,,,,,,9 *GET,S9,NODE,1,EPCR,X R9=S9/3.0565 *DIM,VALUE,,9,3


2027

NAFEMS Input Listings *DIM,LABEL,CHAR,10 LABEL(1) = '0','1.0', '10.0', '50.0', '100.0', '110.0','120.0','150.0','200.0' *VFILL,VALUE(1,1),DATA,0.0000,0.1350,0.4269,0.9546,1.3500,1.5511,1.7433,2.2760,3.0565 *VFILL,VALUE(1,2),DATA,S1,S2,S3,S4,S5,S6,S7,S8,S9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 *ELSEIF,I,EQ,2,THEN SET,,,,,,,1 *GET,SH1,NODE,1,EPCR,X R10=1.00 SET,,,,,,,2 *GET,SH2,NODE,1,EPCR,X R11=SH2/0.135 SET,,,,,,,3 *GET,SH3,NODE,1,EPCR,X R12=SH3/0.4269 SET,,,,,,,4 *GET,SH4,NODE,1,EPCR,X R13=SH4/0.9546 SET,,,,,,,5 *GET,SH5,NODE,1,EPCR,X R14=SH5/1.35 SET,,,,,,,6 *GET,SH6,NODE,1,EPCR,X R15=SH6/1.8762 SET,,,,,,,7 *GET,SH7,NODE,1,EPCR,X R16=SH7/2.2842 SET,,,,,,,8 *GET,SH8,NODE,1,EPCR,X R17=SH8/3.2108 SET,,,,,,,9 *GET,SH9,NODE,1,EPCR,X R18=SH9/4.3354 *DIM,VALUE2,,9,3 *DIM,LABEL2,CHAR,10 LABEL2(1) = '0','1.0', '10.0', '50.0', '100.0', '110.0','120.0','150.0','200.0' *VFILL,VALUE2(1,1),DATA,0.0000,0.1350,0.4269,0.9546,1.3500,1.8762,2.2842,3.2108,4.3354 *VFILL,VALUE2(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE2(1,3),DATA,R10,R11,R12,R13,R14,R15,R16,R17,R18 *ENDIF /POST26 *IF,I,EQ,1,THEN ESOL,2,1,,EPCR,X,TIMEHARD /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /XRANGE,0,200 /YRANGE,0,5 /COLOR,CURVE,BLUE,1 PLVAR,2 /NOERASE *ELSEIF,I,EQ,2,THEN ESOL,3,1,,EPCR,X,STRAINHA /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /COLOR,CURVE,RED,1 /XRANGE,0,200 /YRANGE,0,5 PLVAR,3 *ENDIF *ENDDO /COM /COM /COM,----------- vmr027-cr10c-281 TIME HARDENING RESULTS COMPARISON ------------/COM, /COM, vmr027-cr10c-281.jpeg RESULTS SHOULD MATCH R0027 NAFEMS MANUAL /COM, GRAPH RESULTS OF TEST 10(C). /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') /COM,

2028


VM-R027-12B 181 Input Listing /COM, /COM,----------- vmr027-cr10c-281 STRAIN HARDENING RESULTS COMPARISON ------------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL2(1), VALUE2(1,1), VALUE2(1,2), VALUE2(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3,' ') FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' S2 ',' S7 ' *VFILL,VALUE1(1,1),DATA,S9,SH9 *VFILL,VALUE1(1,2),DATA,R9,R18 *DIM,LABEL3,CHAR,3 LABEL3(1) = 'vmr027-','cr10c-28','1' /OUT,vmr027-cr10c-281,vrt /COM /COM,------------------- vmr027-cr10c RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL281 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL3(1),LABEL3(2),LABEL3(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL3(1),LABEL3(2),LABEL3(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr10c-281,vrt

VM-R027-12B 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr12b-181 /TITLE,vmr027-cr12b-181,2D PLANE STRESS-UNIAXIAL DISPLACEMENT PRIMARY-SECONDARY CREEP /COM,THE COMPARISON IS MADE GRAPHICALLY AND QUANTITATIVELY WITH THE /COM,RESULTS OF THE TEST 12(B)FROM NAFEMS REPORT R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(PRIMARY AND SECONDARY CREEP)*** *SET,C1,0.5E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 *SET,C5,1E-16 *SET,C6,5 *SET,C7,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,11 TBDATA,1,C1,C2,C3,C4,C5,C6 TBDATA,7,C7 N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50


2029

NAFEMS Input Listings N,9,50,50 ET,1,181,,, R,1,1,1,1,1, E,1,5,9,8 E,5,2,6,9 E,9,6,3,7 E,8,9,7,4 NSEL,S,LOC,X,0 D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y,50 NSEL,R,LOC,X,0 D,ALL,UY, NSEL,ALL D,9,UZ,0 D,9,ROTX,0 D,9,ROTY,0 FINISH /SOLU NSEL,S,LOC,X,100 D,ALL,UX,0.1 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF

2030


VM-R027-12B 181 Input Listing /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,TIME /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,DIVX,5 /GROPT,DIVY,9 /XRANGE,0,1000 /YRANGE,0,225 ESOL,2,1,,S,X PLVAR,2 PRVAR,2 /POST1 SET,1,1 *GET,SH1,NODE,3,S,X R1=SH1/200.0 SET,,,,,,,9 *GET,SH6,NODE,3,S,X R6=SH6/63.58 SET,,,,,,,14 *GET,SH7,NODE,3,S,X R7=SH7/57.96 SET,,,,,,,54 *GET,SH8,NODE,3,S,X R8=SH8/46.20 SET,,,,,,,104 *GET,SH9,NODE,3,S,X R9=SH9/41.61 *DIM,VALUE,,5,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,200.00,63.58,57.96,46.20,41.61 *VFILL,VALUE(1,2),DATA,SH1,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R6,R7,R8,R9 /COM /COM /COM,--------- vmr027-cr12b-181 RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F15.3) FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR11X ',' ECR11Y ' *VFILL,VALUE1(1,1),DATA,SH9 *VFILL,VALUE1(1,2),DATA,R9 *DIM,LABEL2,CHAR,3 LABEL2(1) = 'vmr027-','cr12b-18','1' /OUT,vmr027-cr12b-181,vrt /COM /COM,------------------- vmr027-cr12b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL181 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH


2031

NAFEMS Input Listings *LIST,vmr027-cr12b-181,vrt

VM-R027-12B 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr12b-182 /TITLE,vmr027-cr12b-182,2D PLANE STRESS-UNIAXIAL DISPLACEMENT PRIMARY-SECONDARY CREEP /COM,THE COMPARISON IS MADE GRAPHICALLY AND QUANTITATIVELY WITH THE /COM RESULTS OF THE TEST 12(B)FROM NAFEMS REPORT R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(PRIMARY AND SECONDARY CREEP)*** *SET,C1,0.5E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 *SET,C5,1E-16 *SET,C6,5 *SET,C7,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,11 TBDATA,1,C1,C2,C3,C4,C5,C6 TBDATA,7,C7 N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 N,9,50,50 ET,1,182 KEYOPT,1,1,1 KEYOPT,1,3,0 E,1,5,9,8 E,5,2,6,9 E,9,6,3,7 E,8,9,7,4 NSEL,S,LOC,X,0 D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y,50 NSEL,R,LOC,X,0 D,ALL,UY, NSEL,ALL /SOLU NSEL,S,LOC,X,100 D,ALL,UX,0.1 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 /OUTPUT,SCRATCH

2032


VM-R027-12B 182 Input Listing OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,TIME /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,DIVX,5 /GROPT,DIVY,9 /XRANGE,0,1000 /YRANGE,0,225 ESOL,2,1,,S,X PLVAR,2 PRVAR,2 /POST1 SET,1,1 *GET,SH1,NODE,3,S,X R1=SH1/200.0 SET,,,,,,,9 *GET,SH6,NODE,3,S,X R6=SH6/63.58 SET,,,,,,,14 *GET,SH7,NODE,3,S,X R7=SH7/57.96 SET,,,,,,,54 *GET,SH8,NODE,3,S,X R8=SH8/46.20 SET,,,,,,,104 *GET,SH9,NODE,3,S,X R9=SH9/41.61 *DIM,VALUE,,5,3


2033

NAFEMS Input Listings *DIM,LABEL,CHAR,10 LABEL(1) = '0','50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,200.0,63.58,57.96,46.20,41.61 *VFILL,VALUE(1,2),DATA,SH1,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R6,R7,R8,R9 /COM /COM /COM,--------- vmr027-cr12b-182 RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3) FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR11X ',' ECR11Y ' *VFILL,VALUE1(1,1),DATA,SH9 *VFILL,VALUE1(1,2),DATA,R9 *DIM,LABEL2,CHAR,3 LABEL2(1) = 'vmr027-','cr12b-18','2' /OUT,vmr027-cr12b-182,vrt /COM /COM,------------------- vmr027-cr12b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr12b-182,vrt

VM-R027-12B 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr12b-183 /TITLE,vmr027-cr12b-183,2D PLANE STRESS-UNIAXIAL DISPLACEMENT PRIMARY-SECONDARY CREEP /COM,THE COMPARISON IS MADE GRAPHICALLY AND QUANTITATIVELY WITH /COM THE RESULTS OF THE TEST 12(B) FROM NAFEMS REPORT R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(PRIMARY AND SECONDARY CREEP)*** *SET,C1,0.5E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 *SET,C5,1E-16 *SET,C6,5 *SET,C7,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,11 TBDATA,1,C1,C2,C3,C4,C5,C6 TBDATA,7,C7 N,1,0,0,0

2034


VM-R027-12B 183 Input Listing N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 ET,1,183 KEYOPT,1,3,0 E,1,2,3,4,5,6,7,8 NSEL,S,LOC,X,0 D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y,50 NSEL,R,LOC,X,0 D,ALL,UY, NSEL,ALL /SOLU NSEL,S,LOC,X,100 D,ALL,UX,0.1 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST OUTPR,ALL,LAST SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF


2035

NAFEMS Input Listings /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,TIME /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,DIVX,5 /GROPT,DIVY,9 /XRANGE,0,1000 /YRANGE,0,225 ESOL,2,1,,S,X PLVAR,2 PRVAR,2 /POST1 SET,1,1 *GET,SH1,NODE,3,S,X R1=SH1/200.0 SET,,,,,,,9 *GET,SH6,NODE,3,S,X R6=SH6/63.58 SET,,,,,,,14 *GET,SH7,NODE,3,S,X R7=SH7/57.96 SET,,,,,,,54 *GET,SH8,NODE,3,S,X R8=SH8/46.20 SET,,,,,,,104 *GET,SH9,NODE,3,S,X R9=SH9/41.61 *DIM,VALUE,,5,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,200.0,63.58,57.96,46.20,41.61 *VFILL,VALUE(1,2),DATA,SH1,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R6,R7,R8,R9 /COM /COM /COM,--------- vmr027-cr12b-183 RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3) FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR11X ',' ECR11Y ' *VFILL,VALUE1(1,1),DATA,SH9 *VFILL,VALUE1(1,2),DATA,R9 *DIM,LABEL2,CHAR,3 LABEL2(1) = 'vmr027-','cr12b-18','3' /OUT,vmr027-cr12b-183,vrt /COM /COM,------------------- vmr027-cr12b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH

2036


VM-R027-12B 281 Input Listing *LIST,vmr027-cr12b-183,vrt

VM-R027-12B 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr12b-281 /TITLE,vmr027-cr12b-281,2D PLANE STRESS-UNIAXIAL DISPLACEMENT PRIMARY-SECONDARY CREEP /COM,THE COMPARISON IS MADE GRAPHICALLY AND QUANTITATIVELY WITH THE /COM,RESULTS OF THE TEST 12(B)FROM NAFEMS REPORT R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(PRIMARY AND SECONDARY CREEP)*** *SET,C1,0.5E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 *SET,C5,1E-16 *SET,C6,5 *SET,C7,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,11 TBDATA,1,C1,C2,C3,C4,C5,C6 TBDATA,7,C7 N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 N,9,50,50 N,10,25,0,0 N,11,75,0,0 N,12,0,25,0 N,13,50,25,0 N,14,100,25,0 N,15,25,50,0 N,16,75,50,0 N,17,0,75,0 N,18,50,75,0 N,19,100,75,0 N,20,25,100,0 N,21,75,100,0 ET,1,SHELL281,,, R,1,1,1,1,1, E,1,5,9,8,10,13,15,12 E,5,2,6,9,11,14,16,13 E,9,6,3,7,16,19,21,18 E,8,9,7,4,15,18,20,17 NSEL,S,LOC,X,0 D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y,50 NSEL,R,LOC,X,0 D,ALL,UY, NSEL,ALL D,ALL,UZ /SOLU NSEL,S,LOC,X,100 D,ALL,UX,0.1 NSEL,ALL RATE, OFF


2037

NAFEMS Input Listings DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,TIME /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,DIVX,5 /GROPT,DIVY,9 /XRANGE,0,1000 /YRANGE,0,225 ESOL,2,1,,S,X PLVAR,2 PRVAR,2 /POST1 SET,1,1 *GET,SH1,NODE,3,S,X R1=SH1/200.0 SET,,,,,,,9 *GET,SH6,NODE,3,S,X R6=SH6/63.58 SET,,,,,,,14 *GET,SH7,NODE,3,S,X

2038


VM-R027-12C 181 Input Listing R7=SH7/57.96 SET,,,,,,,54 *GET,SH8,NODE,3,S,X R8=SH8/46.20 SET,,,,,,,104 *GET,SH9,NODE,3,S,X R9=SH9/41.61 *DIM,VALUE,,5,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','50.0','100.0','500.0','1000.0' *VFILL,VALUE(1,1),DATA,200.00,63.58,57.96,46.20,41.61 *VFILL,VALUE(1,2),DATA,SH1,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R6,R7,R8,R9 /COM /COM /COM,--------- vmr027-cr12b-281 RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.3,' ',F13.3,' ',1F13.3) FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR11X ',' ECR11Y ' *VFILL,VALUE1(1,1),DATA,SH9 *VFILL,VALUE1(1,2),DATA,R9 *DIM,LABEL2,CHAR,3 LABEL2(1) = 'vmr027-','cr12b-28','1' /OUT,vmr027-cr12b-281,vrt /COM /COM,---------------- vmr027-cr12b RESULTS COMPARISON -----------------/COM, /COM, | Mechanical APDL | RATIO | INPUT /COM, /COM, SHELL281 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr12b-281,vrt

|

VM-R027-12C 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr12c-181 /TITLE,vmr027-cr12c-181,2D PLANE STRESS-STEPPED LOAD PRIMARY-SECONDARY CREEP /COM, REFERENCE: TEST 12(C) FROM NAFEMS REPORT R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(PRIMARY AND SECONDARY CREEP)*** *SET,C1,0.5E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 *SET,C5,1E-16 *SET,C6,5 *SET,C7,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10


2039

NAFEMS Input Listings TB,CREEP,1,,,11 TBDATA,1,C1,C2,C3,C4,C5,C6 TBDATA,7,C7 SAVE N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 N,9,50,50 ET,1,181,,, R,1,1,1,1,1, E,1,5,9,8 E,5,2,6,9 E,9,6,3,7 E,8,9,7,4 NSEL,S,LOC,X,0 D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y,50 NSEL,R,LOC,X,0 D,ALL,UY, NSEL,ALL D,ALL,UZ D,ALL,ROTX D,ALL,ROTY /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-100 NSEL,ALL RATE, ON TIME, 1.0E-8 /OUT,SCRATCH SOLVE /OUT RATE, ON TIME,10 /OUT,SCRATCH SOLVE /OUT RATE, ON TIME,100 /OUT,SCRATCH SOLVE /OUT RATE, ON TIME,1000 /OUT,SCRATCH SOLVE /OUT RATE,ON TIME,10000 /OUT,SCRATCH SOLVE /OUT /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-110 NSEL,ALL RATE,ON,ON DELT,1000,999.999,1000.0001 AUTOS,OFF OUTRES,ALL,ALL TIME,11000 /OUT,SCRATCH SOLVE

2040


VM-R027-12C 181 Input Listing /OUT RATE,ON,ON DELT,1000 AUTOS,OFF OUTRES,ALL,ALL TIME,12000 /OUT,SCRATCH SOLVE /OUT RATE,ON,ON DELT,1000 AUTOS,OFF OUTRES,ALL,ALL TIME,15000 /OUT,SCRATCH SOLVE /OUT RATE,ON,ON DELT,1000 AUTOS,OFF OUTRES,ALL,ALL TIME,20000 /OUT,SCRATCH SOLVE /OUT /POST26 ESOL,2,1,,EPCR,X PRVAR,2 /AXLAB,Y,CREEP STRAIN PLVAR,2 /POST1 SET,,,,,,,1 *GET,SH1,NODE,3,EPCR,X R1=1.0 SET,,,,,,,2 *GET,SH2,NODE,3,EPCR,X R2=SH2/0.000326 SET,,,,,,,3 *GET,SH3,NODE,3,EPCR,X R3=SH3/0.00110 SET,,,,,,,4 *GET,SH4,NODE,3,EPCR,X R4=SH4/0.00416 SET,,,,,,,5 *GET,SH5,NODE,3,EPCR,X R5=SH5/0.02 SET,,,,,,,6 *GET,SH6,NODE,3,EPCR,X R6=SH6/0.02240 SET,,,,,,,7 *GET,SH7,NODE,3,EPCR,X R7=SH7/0.02476 SET,,,,,,,10 *GET,SH8,NODE,3,EPCR,X R8=SH8/0.03167 SET,,,,,,,15 *GET,SH9,NODE,3,EPCR,X R9=SH9/0.04278 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','10', '100', '1000', '10000', '11000','12000','15000','20000' *VFILL,VALUE(1,1),DATA,0.0,0.000326,0.00110,0.00416,0.02,0.02240,0.02476,0.03167,0.04278 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /COM /COM /COM,--------- vmr027-cr12c-181 RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM,


2041

NAFEMS Input Listings *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.6,' ',F13.6,' ',1F13.3) FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR11X ',' ECR11Y ' *VFILL,VALUE1(1,1),DATA,SH9 *VFILL,VALUE1(1,2),DATA,R9 *DIM,LABEL2,CHAR,3 LABEL2(1) = 'vmr027-','cr12c-18','1' /OUT,vmr027-cr12c-181,vrt /COM /COM,------------------- vmr027-cr12c RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL181 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr12c-181,vrt

VM-R027-12C 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr12c-182 /TITLE,vmr027-cr12c-182,2D PLANE STRESS-STEPPED LOAD PRIMARY-SECONDARY CREEP /COM, REFERENCE: TEST 12(C) FROM NAFEMS REPORT R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(PRIMARY AND SECONDARY CREEP)*** *SET,C1,0.5E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 *SET,C5,1E-16 *SET,C6,5 *SET,C7,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,11 TBDATA,1,C1,C2,C3,C4,C5,C6 TBDATA,7,C7 SAVE N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 N,9,50,50 ET,1,182 KEYOPT,1,1,1 KEYOPT,1,3,0

2042


VM-R027-12C 182 Input Listing E,1,5,9,8 E,5,2,6,9 E,9,6,3,7 E,8,9,7,4 NSEL,S,LOC,X,0 D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y,50 NSEL,R,LOC,X,0 D,ALL,UY, NSEL,ALL /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-100 NSEL,ALL RATE, ON TIME, 1.0E-8 /OUT,SCRATCH SOLVE /OUT RATE, ON TIME,10 /OUT,SCRATCH SOLVE /OUT RATE, ON TIME,100 /OUT,SCRATCH SOLVE /OUT RATE, ON TIME,1000 /OUT,SCRATCH SOLVE /OUT RATE,ON TIME,10000 /OUT,SCRATCH SOLVE /OUT /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-110 NSEL,ALL RATE,ON,ON DELT,1000,999.999,1000.0001 AUTOS,OFF OUTRES,ALL,ALL TIME,11000 /OUT,SCRATCH SOLVE /OUT RATE,ON,ON DELT,1000 AUTOS,OFF OUTRES,ALL,ALL TIME,12000 /OUT,SCRATCH SOLVE /OUT RATE,ON,ON DELT,1000 AUTOS,OFF OUTRES,ALL,ALL TIME,15000 /OUT,SCRATCH SOLVE /OUT RATE,ON,ON DELT,1000


2043

NAFEMS Input Listings AUTOS,OFF OUTRES,ALL,ALL TIME,20000 /OUT,SCRATCH SOLVE /OUT /POST26 ESOL,2,1,,EPCR,X PRVAR,2 /AXLAB,Y,CREEP STRAIN PLVAR,2 /POST1 SET,,,,,,,1 *GET,SH1,NODE,3,EPCR,X R1=1.0 SET,,,,,,,2 *GET,SH2,NODE,3,EPCR,X R2=SH2/0.000326 SET,,,,,,,3 *GET,SH3,NODE,3,EPCR,X R3=SH3/0.00110 SET,,,,,,,4 *GET,SH4,NODE,3,EPCR,X R4=SH4/0.00416 SET,,,,,,,5 *GET,SH5,NODE,3,EPCR,X R5=SH5/0.02 SET,,,,,,,6 *GET,SH6,NODE,3,EPCR,X R6=SH6/0.02240 SET,,,,,,,7 *GET,SH7,NODE,3,EPCR,X R7=SH7/0.02476 SET,,,,,,,10 *GET,SH8,NODE,3,EPCR,X R8=SH8/0.03167 SET,,,,,,,15 *GET,SH9,NODE,3,EPCR,X R9=SH9/0.04278 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','10', '100', '1000', '10000', '11000','12000','15000','20000' *VFILL,VALUE(1,1),DATA,0.0,0.000326,0.00110,0.00416,0.02,0.02240,0.02476,0.03167,0.04278 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /COM /COM /COM,--------- vmr027-cr12c-182 RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.6,' ',F13.6,' ',1F13.3) FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR11X ',' ECR11Y ' *VFILL,VALUE1(1,1),DATA,SH9 *VFILL,VALUE1(1,2),DATA,R9 *DIM,LABEL2,CHAR,3 LABEL2(1) = 'vmr027-','cr12c-18','2' /OUT,vmr027-cr12c-182,vrt /COM /COM,------------------- vmr027-cr12c RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM,

2044


VM-R027-12C 183 Input Listing /COM, PLANE182 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr12c-182,vrt

VM-R027-12C 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr12c-183 /TITLE,vmr027-cr12c-183,2D PLANE STRESS-STEPPED LOAD PRIMARY-SECONDARY CREEP /COM, REFERENCE: TEST 12(C) FROM NAFEMS REPORT R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(PRIMARY AND SECONDARY CREEP)*** *SET,C1,0.5E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 *SET,C5,1E-16 *SET,C6,5 *SET,C7,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,11 TBDATA,1,C1,C2,C3,C4,C5,C6 TBDATA,7,C7 SAVE N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 ET,1,183 KEYOPT,1,3,0 E,1,2,3,4,5,6,7,8 NSEL,S,LOC,X,0 D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y,50 NSEL,R,LOC,X,0 D,ALL,UY, NSEL,ALL /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-100 NSEL,ALL RATE, ON TIME, 1.0E-8 /OUT,SCRATCH SOLVE /OUT RATE, ON TIME,10 /OUT,SCRATCH


2045

NAFEMS Input Listings SOLVE /OUT RATE, ON TIME,100 /OUT,SCRATCH SOLVE /OUT RATE, ON TIME,1000 /OUT,SCRATCH SOLVE /OUT RATE,ON TIME,10000 /OUT,SCRATCH SOLVE /OUT /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-110 NSEL,ALL RATE,ON,ON DELT,1000,999.999,1000.0001 AUTOS,OFF OUTRES,ALL,ALL TIME,11000 /OUT,SCRATCH SOLVE /OUT RATE,ON,ON DELT,1000 AUTOS,OFF OUTRES,ALL,ALL TIME,12000 /OUT,SCRATCH SOLVE /OUT RATE,ON,ON DELT,1000 AUTOS,OFF OUTRES,ALL,ALL TIME,15000 /OUT,SCRATCH SOLVE /OUT RATE,ON,ON DELT,1000 AUTOS,OFF OUTRES,ALL,ALL TIME,20000 /OUT,SCRATCH SOLVE /OUT /POST26 ESOL,2,1,,EPCR,X PRVAR,2 /AXLAB,Y,CREEP STRAIN PLVAR,2 /POST1 SET,,,,,,,1 *GET,SH1,NODE,3,EPCR,X R1=1.0 SET,,,,,,,2 *GET,SH2,NODE,3,EPCR,X R2=SH2/0.000326 SET,,,,,,,3 *GET,SH3,NODE,3,EPCR,X R3=SH3/0.00110 SET,,,,,,,4

2046


VM-R027-12C 281 Input Listing *GET,SH4,NODE,3,EPCR,X R4=SH4/0.00416 SET,,,,,,,5 *GET,SH5,NODE,3,EPCR,X R5=SH5/0.02 SET,,,,,,,6 *GET,SH6,NODE,3,EPCR,X R6=SH6/0.02240 SET,,,,,,,7 *GET,SH7,NODE,3,EPCR,X R7=SH7/0.02476 SET,,,,,,,10 *GET,SH8,NODE,3,EPCR,X R8=SH8/0.03167 SET,,,,,,,15 *GET,SH9,NODE,3,EPCR,X R9=SH9/0.04278 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','10', '100', '1000', '10000', '11000','12000','15000','20000' *VFILL,VALUE(1,1),DATA,0.0,0.000326,0.00110,0.00416,0.02,0.02240,0.02476,0.03167,0.04278 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /COM /COM /COM,--------- vmr027-cr12c-183 RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.6,' ',F13.6,' ',1F13.3) FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR11X ',' ECR11Y ' *VFILL,VALUE1(1,1),DATA,SH9 *VFILL,VALUE1(1,2),DATA,R9 *DIM,LABEL2,CHAR,3 LABEL2(1) = 'vmr027-','cr12c-18','3' /OUT,vmr027-cr12c-183,vrt /COM /COM,------------------- vmr027-cr12c RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr12c-183,vrt

VM-R027-12C 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr027-cr12c-281 /TITLE,vmr027-cr12c-281,2D PLANE STRESS-STEPPED LOAD PRIMARY-SECONDARY CREEP /COM, REFERENCE: TEST 12(C) FROM NAFEMS REPORT R0027. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(PRIMARY AND SECONDARY CREEP)*** *SET,C1,0.5E-14 *SET,C2,5


2047

NAFEMS Input Listings *SET,C3,-0.5 *SET,C4,0 *SET,C5,1E-16 *SET,C6,5 *SET,C7,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,11 TBDATA,1,C1,C2,C3,C4,C5,C6 TBDATA,7,C7 SAVE N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 N,9,50,50 N,10,25,0,0 N,11,75,0,0 N,12,0,25,0 N,13,50,25,0 N,14,100,25,0 N,15,25,50,0 N,16,75,50,0 N,17,0,75,0 N,18,50,75,0 N,19,100,75,0 N,20,25,100,0 N,21,75,100,0 ET,1,SHELL281,,, R,1,1,1,1,1, E,1,5,9,8,10,13,15,12 E,5,2,6,9,11,14,16,13 E,9,6,3,7,16,19,21,18 E,8,9,7,4,15,18,20,17 NSEL,S,LOC,X,0 D,ALL,UX, NSEL,ALL NSEL,S,LOC,Y,50 NSEL,R,LOC,X,0 D,ALL,UY, NSEL,ALL D,ALL,UZ D,ALL,ROTX D,ALL,ROTY /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-100 NSEL,ALL RATE, ON TIME, 1.0E-8 /OUT,SCRATCH SOLVE /OUT RATE, ON TIME,10 /OUT,SCRATCH SOLVE /OUT RATE, ON TIME,100 /OUT,SCRATCH SOLVE /OUT

2048


VM-R027-12C 281 Input Listing RATE, ON TIME,1000 /OUT,SCRATCH SOLVE /OUT RATE,ON TIME,10000 /OUT,SCRATCH SOLVE /OUT /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-110 NSEL,ALL RATE,ON,ON DELT,1000,999.999,1000.0001 AUTOS,OFF OUTRES,ALL,ALL TIME,11000 /OUT,SCRATCH SOLVE /OUT RATE,ON,ON DELT,1000 AUTOS,OFF OUTRES,ALL,ALL TIME,12000 /OUT,SCRATCH SOLVE /OUT RATE,ON,ON DELT,1000 AUTOS,OFF OUTRES,ALL,ALL TIME,15000 /OUT,SCRATCH SOLVE /OUT RATE,ON,ON DELT,1000 AUTOS,OFF OUTRES,ALL,ALL TIME,20000 /OUT,SCRATCH SOLVE /OUT /POST26 ESOL,2,1,,EPCR,X PRVAR,2 /AXLAB,Y,CREEP STRAIN PLVAR,2 /POST1 SET,,,,,,,1 *GET,SH1,NODE,3,EPCR,X R1=1.0 SET,,,,,,,2 *GET,SH2,NODE,3,EPCR,X R2=SH2/0.000326 SET,,,,,,,3 *GET,SH3,NODE,3,EPCR,X R3=SH3/0.00110 SET,,,,,,,4 *GET,SH4,NODE,3,EPCR,X R4=SH4/0.00416 SET,,,,,,,5 *GET,SH5,NODE,3,EPCR,X R5=SH5/0.02 SET,,,,,,,6 *GET,SH6,NODE,3,EPCR,X R6=SH6/0.02240 SET,,,,,,,7 *GET,SH7,NODE,3,EPCR,X


2049

NAFEMS Input Listings R7=SH7/0.02476 SET,,,,,,,10 *GET,SH8,NODE,3,EPCR,X R8=SH8/0.03167 SET,,,,,,,15 *GET,SH9,NODE,3,EPCR,X R9=SH9/0.04278 *DIM,VALUE,,9,3 *DIM,LABEL,CHAR,10 LABEL(1) = '0','10', '100', '1000', '10000', '11000','12000','15000','20000' *VFILL,VALUE(1,1),DATA,0.0,0.000326,0.00110,0.00416,0.02,0.02240,0.02476,0.03167,0.04278 *VFILL,VALUE(1,2),DATA,SH1,SH2,SH3,SH4,SH5,SH6,SH7,SH8,SH9 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9 /COM /COM /COM,--------- vmr027-cr12c-281 RESULTS COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3) (1X,A8,' ',F8.6,' ',F13.6,' ',1F13.3) FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR11X ',' ECR11Y ' *VFILL,VALUE1(1,1),DATA,SH9 *VFILL,VALUE1(1,2),DATA,R9 *DIM,LABEL2,CHAR,3 LABEL2(1) = 'vmr027-','cr12c-28','1' /OUT,vmr027-cr12c-281,vrt /COM /COM,---------------- vmr027-cr12c RESULTS COMPARISON -----------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL281 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2),LABEL2(3) (1X,A8,' ',F13.3,' ',F9.4,' ',A7,A8,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr027-cr12c-281,vrt

VM-R029-T1 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr029-t1-181 /TITLE,vmr029-t1-181,ELASTIC LARGE DEFLECTION RESPONSE OF A Z-SHAPED CANTILEVER UNDER END LOAD /COM, REFERENCE: NAFEMS GEOMETRIC NONLINEAR BEHAVIOUR OF 3D BEAMS AND SHELLS /COM, MANUAL TEST 3DNLG-1 /PREP7 MP,EX,1,2.0E5 MP,NUXY,1,0.3 ET,1,SHELL181 SECT,1,SHELL SECD,1.7 LENGTH = 60.0 THICK = 1.7 WIDTH = 20.0 MY_FORCE = 2000.0 K,1,0,0,THICK K,2,0,0,0 K,3,LENGTH,0,0 K,4,LENGTH,0,THICK K,5,2.0*LENGTH,0,30.0 K,6,2.0*LENGTH,0,30.0+THICK

2050


VM-R029-T1 181 Input Listing K,7,3.0*LENGTH,0,30.0 K,8,3.0*LENGTH,0,30.0+THICK K,9, 0,WIDTH,THICK K,10,0,WIDTH,0 K,11,LENGTH,WIDTH,0 K,12,LENGTH,WIDTH,THICK K,13,2.0*LENGTH,WIDTH,30.0 K,14,2.0*LENGTH,WIDTH,30.0+THICK K,15,3.0*LENGTH,WIDTH,30.0 K,16,3.0*LENGTH,WIDTH,30.0+THICK V,2,3,11,10,1,4,12,9 V,3,5,13,11,4,6,14,12 V,5,7,15,13,6,8,16,14 ESIZE,10.0 AMESH,6 AMESH,11 AMESH,16 NSEL,S,LOC,X D,ALL,ALL NSEL,ALL NSEL,S,LOC, X,3.0*LENGTH NSEL,R,LOC, Y,0.0 NSEL,R,LOC, Z,30.0+THICK F,ALL,FZ,MY_FORCE NSEL,S,LOC, X,3.0*LENGTH NSEL,R,LOC, Y,WIDTH NSEL,R,LOC, Z, 30.0+THICK F,ALL,FZ,MY_FORCE NSEL,ALL FINISH /OUT,scratch /SOLU NLGEOM,ON NSUB,200 OUTRES,ALL,ALL SOLVE FINIH /OUT, /POST1 PLNSOL,U,Z FINISH /POST26 NUMVAR,20 /GOLIST /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,TIP DEFLECTION /AXLAB,Y,LOAD /GTHK,AXIS,1 /GRTYP,0 /GROPT,ASCAL,ON /GROPT,LOGX,OFF /GROPT,LOGY,OFF /GROPT,AXDV,1 /GROPT,AXNM,ON /GROPT,AXNSC,1, /GROPT,DIG1,4, /GROPT,DIG2,3, /XRANGE,0,150 /YRANGE,0,4000 /GOPR /OUT, NSOL,2,43,U,Z RFORCE,3,10,F,Z, RFORCE,4,16,F,Z, RFORCE,5,2 ,F,Z, ADD,6,3,4,5 PROD,7,6, , , , , ,-1,1,1,


2051

NAFEMS Input Listings XVAR,2 PLVAR,7 PRVAR,7,2 FINISH /POST1 SET,LAST *GET,UY1,NODE,43,U,Z HF1=UY1/143.43 /GOPR *STATUS,PARM FINISH *DIM,VALUE,,1,3 *DIM,LABEL,CHAR,2 LABEL(1) = 'vmr029-','t1-181' *VFILL,VALUE(1,1),DATA,4000 *VFILL,VALUE(1,2),DATA,UY1 *VFILL,VALUE(1,3),DATA,HF1 /OUT,vmr029-t1-181,vrt /COM /COM,-------------- VMR029-T1 RESULTS COMPARISON-------------/COM, /COM,| LOAD | Mechanical APDL | RATIO | TEST /COM, /COM,SHELL181 *VWRITE,VALUE(1,1), VALUE(1,2), VALUE(1,3), LABEL(1),LABEL(2) (1X,F8.2,' ',F12.2,' ',F12.2,' ',A7,A8) /COM, /COM,---------------------------------------------------------/OUT FINISH *LIST,vmr029-t1-181,vrt /out,scratch

|

VM-R029-T1 185 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T1-185 /TITLE,VMR029-T1-185,ELASTIC LARGE DEFLECTION RESPONSE OF A Z-SHAPED CANTILEVER UNDER END LOAD /COM,REFERENCE NAFEMS 3D BEAMS AND SHELLS MANUAL TEST 3DNLG-1 /PREP7 MP,EX,1,2.0E5 MP,NUXY,1,0.3 ET,1,185 KEYOPT,1,2,2 K,1, K,2,60.401315561, K,3,120,30, K,4,180,30, K,5,180,31.7, K,6,119.5986844,31.7, K,7,60,1.7, K,8,,1.7 L,1,2 L,2,3 L,3,4 L,4,5 L,5,6 L,6,7 L,7,8 L,8,1 L,2,7 L,3,6 AL,1,9,7,8 AL,2,10,6,9 AL,3,4,5,10 VOFFST,1,-20, VOFFST,2,-20,

2052


VM-R029-T1 185 Input Listing VOFFST,3,-20, NUMMRG,ALL LESIZE,9,,,1 LESIZE,1,,,9 LESIZE,17,,,3 LESIZE,2,,,9 LESIZE,3,,,9 LESIZE,10,,,1 LESIZE,25,,,3 MSHKEY,1 TYPE,1 $ MAT,1 VMESH,1,3 NUMMRG,NODE NUMMRG,ELEM NUMMRG,KP ALLSEL,ALL NSEL,S,LOC,X,0.0 D,ALL,ALL ALLSEL,ALL NSEL,S,LOC,X,180.0 NSEL,R,LOC,Y,31.7 F,ALL,FY,1000 ALLS, FINISH /SOLU NLGEOM,ON TIME,1 NSUBST,20,10000,10 OUTRES,ALL,ALL /OUT,SCRATCH SOLVE FINISH /POST26 /SHOW,,jpeg /OUT *DIM,XA,TABLE,11,1 *DIM,YA,TABLE,11,1 XA( 1,1)= 0 YA( 1,1)= 0 XA( 2,1)= 15 YA( 2,1)= 16 XA( 3,1)= 30 YA( 3,1)= 33 XA( 4,1)= 45 YA( 4,1)= 47.25 XA( 5,1)= 60 YA( 5,1)= 63 XA( 6,1)= 80.43 YA( 6,1)= 104.5 XA( 7,1)= 90 YA( 7,1)= 150 XA( 8,1)= 105 YA( 8,1)= 233.3 XA( 9,1)= 120 YA( 9,1)= 450 XA( 10,1)= 133.1 YA( 10,1)= 1263 XA( 11,1)= 143.4 YA( 11,1)= 4000 /XRANGE,0,150 /YRANGE,0,4000 /AXLAB,X,TIP DISPLACEMENT /AXLAB,Y,LOAD /COLOR,CURVE,YGRE *VPLOT,XA(1,1),YA(1,1) /NOERASE NSOL,2,189,U,Y ADD,3,1,,,APLOAD,,,4000 /COLOR,CURVE,MRED XVAR,2


2053

NAFEMS Input Listings PLVAR,3 PRVAR,2,3 FINISH /POST1 NSEL,S,NODE,,62,80,2 NSEL,A,NODE,,136,152,2 NSEL,A,NODE,,208,224,2 PRNSOL,U,COMP PRNSOL,S,COMP NSEL,ALL SET,LIST SET,LAST *GET,UY3,NODE,189,U,Y HF3=UY3/143.4 *DIM,VALUE,,1,3 *DIM,LABEL,CHAR,3 LABEL(1) = 'vmr029-','t1-185' *VFILL,VALUE(1,1),DATA,4000.0 *VFILL,VALUE(1,2),DATA,UY3 *VFILL,VALUE(1,3),DATA,HF3 /OUT,vmr029-t1-185,vrt /COM /COM,-------------- VMR029-T1 RESULTS COMPARISON-------------/COM, /COM,| LOAD | Mechanical APDL | RATIO | TEST /COM, /COM,SOLID185 *VWRITE,VALUE(1,1), VALUE(1,2), VALUE(1,3), LABEL(1),LABEL(2) (1X,F8.2,' ',F12.2,' ',F12.2,' ',A7,A8) /COM, /COM,---------------------------------------------------------/OUT FINISH *LIST,vmr029-t1-185,vrt

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VM-R029-T1 188 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T1-188 /TITLE,VMR029-T1-188,ELASTIC LARGE DEFLECTION RESPONSE OF A Z-SHAPED CANTILEVER UNDER END LOAD /COM, REFERENCE: NAFEMS GEOMETRIC NONLINEAR BEHAVIOUR OF 3D BEAMS AND SHELLS /COM, MANUAL TEST 3DNLG-1 /PREP7 SECN,1 SECT,1,BEAM,RECT SECD,20,1.7 N,1,0.0 N,7,60.0 N,13,120.0,30.0 N,19,180.0,30.0 FILL,1,7 FILL,7,13 FILL,13,19 N,101,30,30 N,102,120,60 N,103,160,160 ET,1,188 E,1,2,101 E,2,3,101 E,3,4,101 E,4,5,101 E,5,6,101 E,6,7,101 E,7,8,102 E,8,9,102 E,9,10,102

2054


VM-R029-T1 188 Input Listing E,10,11,102 E,11,12,102 E,12,13,102 E,13,14,103 E,14,15,103 E,15,16,103 E,16,17,103 E,17,18,103 E,18,19,103 MP,EX,1,2.0E5 MP,NUXY,1,0.3 FINISH /SOLU ANTYPE,0 NLGEOM,ON SOLC,ON NSUBST,100 D,1,ALL F,19,FY,4000 OUTRES,ALL,ALL /OUT,SCRATCH SOLVE FINISH /POST26 /GOLIST /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,TIP DEFLECTION /AXLAB,Y,LOAD /GTHK,AXIS,1 /GRTYP,0 /GROPT,ASCAL,ON /GROPT,LOGX,OFF /GROPT,LOGY,OFF /GROPT,AXDV,1 /GROPT,AXNM,ON /GROPT,AXNSC,1, /GROPT,DIG1,4, /GROPT,DIG2,3, /XRANGE,0,150 /YRANGE,0,4000 /GOPR /OUT, NSOL,2,19,U,Y, RFORCE,3,1,F,Y, PROD,4,3, , , , , ,-1,1,1, XVAR,2 /SHOW,,jpeg PLVAR,4 PRVAR,4,2 FINISH /POST1 SET,1,LAST *GET,UY1,NODE,19,U,Y HF1=UY1/143.43 *DIM,VALUE,,1,3 *DIM,LABEL,CHAR,2 LABEL(1) = 'vmr029-','t1-188' *VFILL,VALUE(1,1),DATA,4000.0 *VFILL,VALUE(1,2),DATA,UY1 *VFILL,VALUE(1,3),DATA,HF1 /OUT,vmr029-t1-188,vrt /COM /COM,-------------- VMR029-T1 RESULTS COMPARISON-------------/COM,


2055

NAFEMS Input Listings /COM,| LOAD | Mechanical APDL | RATIO | TEST /COM, /COM,BEAM188 *VWRITE,VALUE(1,1), VALUE(1,2), VALUE(1,3), LABEL(1),LABEL(2) (1X,F8.2,' ',F12.2,' ',F12.2,' ',A7,A8) /COM, /COM,---------------------------------------------------------/OUT FINISH *LIST,vmr029-t1-188,vrt

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VM-R029-T1 189 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T1-189 /TITLE,VMR029-T1-189,ELASTIC LARGE DEFLECTION RESPONSE OF A Z-SHAPED CANTILEVER UNDER END LOAD /COM, REFERENCE: NAFEMS 3D BEAMS AND SHELL MANUAL TEST 3DNLG-1 /PREP7 SECN,1 SECT,1,BEAM,RECT SECD,20,1.7 N,1,0.0 N,7,60.0 N,13,120.0,30.0 N,19,180.0,30.0 FILL,1,7 FILL,7,13 FILL,13,19 N,101,30,30 N,102,120,60 N,103,160,160 ET,1,189 E,1,3,2,101 E,3,5,4,101 E,5,7,6,101 E,7,9,8,102 E,9,11,10,102 E,11,13,12,102 E,13,15,14,103 E,15,17,16,103 E,16,19,18,103 MP,EX,1,2.0E5 MP,NUXY,1,0.3 FINISH /SOLU ANTYPE,0 NLGEOM,ON SOLC,ON NSUBST,100 D,1,ALL F,19,FY,4000.0 OUTRES,ALL,ALL /OUT,SCRATCH SOLVE FINISH /POST26 /GOLIST /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,TIP DEFLECTION /AXLAB,Y,LOAD

2056


VM-R029-T1 190 Input Listing /GTHK,AXIS,1 /GRTYP,0 /GROPT,ASCAL,ON /GROPT,LOGX,OFF /GROPT,LOGY,OFF /GROPT,AXDV,1 /GROPT,AXNM,ON /GROPT,AXNSC,1, /GROPT,DIG1,4, /GROPT,DIG2,3, /XRANGE,0,150 /YRANGE,0,4000 /GOPR /OUT, NSOL,2,19,U,Y, RFORCE,3,1,F,Y, PROD,4,3, , , , , ,-1,1,1, XVAR,2 /SHOW,,jpeg PLVAR,4 PRVAR,4,2 /POST1 SET,1,LAST *GET,UY3,NODE,19,U,Y HF3=UY3/143.4 *DIM,VALUE,,1,3 *DIM,LABEL,CHAR,3 LABEL(1) = 'vmr029-','t1-189' *VFILL,VALUE(1,1),DATA,4000.0 *VFILL,VALUE(1,2),DATA,UY3 *VFILL,VALUE(1,3),DATA,HF3 /OUT,vmr029-t1-189,vrt /COM /COM,-------------- VMR029-T1 RESULTS COMPARISON-------------/COM, /COM,| LOAD | Mechanical APDL | RATIO | TEST /COM, /COM,BEAM189 *VWRITE,VALUE(1,1), VALUE(1,2), VALUE(1,3), LABEL(1),LABEL(2) (1X,F8.2,' ',F12.2,' ',F12.2,' ',A7,A8) /COM, /COM,---------------------------------------------------------/OUT FINISH *LIST,vmr029-t1-189,vrt

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VM-R029-T1 190 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr029-t1-190 /TITLE,vmr029-t1-190,ELASTIC LARGE DEFLECTION RESPONSE OF A Z-SHAPED CANTILEVER UNDER END LOAD /COM, REFERENCE: NAFEMS GEOMETRIC NONLINEAR BEHAVIOUR OF 3D BEAMS AND SHELLS /COM, MANUAL TEST 3DNLG-1 /PREP7 MP,EX,1,2.0E5 MP,NUXY,1,0.3 ET,1,190,,0 KEYOPT,1,8,1 LENGTH = 60.0 THICK = 1.7 WIDTH = 20.0 MY_FORCE = 2000.0 K,1,0,0,THICK K,2,0,0,0 k,3,LENGTH,0,0 k,4,LENGTH,0,THICK


2057

NAFEMS Input Listings K,5,2.0*LENGTH,0,30.0 K,6,2.0*LENGTH,0,30.0+THICK K,7,3.0*LENGTH,0,30.0 K,8,3.0*LENGTH,0,30.0+THICK K,9, 0,WIDTH,THICK K,10,0,WIDTH,0 K,11,LENGTH,WIDTH,0 K,12,LENGTH,WIDTH,THICK K,13,2.0*LENGTH,WIDTH,30.0 K,14,2.0*LENGTH,WIDTH,30.0+THICK K,15,3.0*LENGTH,WIDTH,30.0 K,16,3.0*LENGTH,WIDTH,30.0+THICK V,2,3,11,10,1,4,12,9 V,3,5,13,11,4,6,14,12 V,5,7,15,13,6,8,16,14 VEORIENT,1,THIN VEORIENT,2,THIN VEORIENT,3,THIN ESIZE,10.0 VMESH,1 VMESH,2 VMESH,3 NSEL,S,LOC,X D,ALL,ALL NSEL,ALL NSEL,S,LOC, X,3.0*LENGTH NSEL,R,LOC, Y,0.0 NSEL,R,LOC, Z,30.0+THICK F,ALL,FZ,MY_FORCE NSEL,S,LOC, X,3.0*LENGTH NSEL,R,LOC, Y,WIDTH NSEL,R,LOC, Z, 30.0+THICK F,ALL,FZ,MY_FORCE NSEL,ALL FINI /SOLU NLGEOM,ON NSUB,200 OUTRES,ALL,ALL /OUT,SCRATCH SOLVE FINI /POST26 NUMVAR,20 /GOLIST /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,TIP DEFLECTION /AXLAB,Y,LOAD /GTHK,AXIS,1 /GRTYP,0 /GROPT,ASCAL,ON /GROPT,LOGX,OFF /GROPT,LOGY,OFF /GROPT,AXDV,1 /GROPT,AXNM,ON /GROPT,AXNSC,1, /GROPT,DIG1,4, /GROPT,DIG2,3, /XRANGE,0,150 /YRANGE,0,4000 /GOPR /OUT, NSOL,2,85,U,Z RFORCE,3,1,F,Z, RFORCE,4,10,F,Z,

2058


VM-R029-T1 281 Input Listing RFORCE,5,16,F,Z, RFORCE,6,23,F,Z, RFORCE,7,31,F,Z, RFORCE,8,37,F,Z, ADD,9,3,4,5 ADD,10,6,7,8 ADD,11,9,10 PROD,12,11, , , , , ,-1,1,1, XVAR,2 /SHOW,,jpeg PLVAR,12 PRVAR,12,2 FINISH /POST1 SET,LIST,2 SET,LAST *GET,UY1,NODE,85,U,Z HF1=UY1/143.43 /GOPR *STATUS,PARM FINISH *DIM,VALUE,,1,3 *DIM,LABEL,CHAR,2 LABEL(1) = 'vmr029-','t1-190' *VFILL,VALUE(1,1),DATA,4000 *VFILL,VALUE(1,2),DATA,UY1 *VFILL,VALUE(1,3),DATA,HF1 /OUT,vmr029-t1-190,vrt /COM /COM,-------------- VMR029-T1 RESULTS COMPARISON-------------/COM, /COM,| LOAD | Mechanical APDL | RATIO | TEST /COM, /COM,SOLSH190 *VWRITE,VALUE(1,1), VALUE(1,2), VALUE(1,3), LABEL(1),LABEL(2) (1X,F8.2,' ',F12.2,' ',F12.2,' ',A7,A8) /COM, /COM,---------------------------------------------------------/OUT FINISH *LIST,vmr029-t1-190,vrt

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VM-R029-T1 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr029-t1-281 /TITLE,vmr029-t1-281,ELASTIC LARGE DEFLECTION RESPONSE OF A Z-SHAPED CANTILEVER UNDER END LOAD /COM, REFERENCE: NAFEMS GEOMETRIC NONLINEAR BEHAVIOUR OF 3D BEAMS AND SHELLS /COM, MANUAL TEST 3DNLG-1 /PREP7 MP,EX,1,2.0E5 MP,NUXY,1,0.3 ET,1,SHELL281 SECT,1,SHELL SECD,1.7 LENGTH = 60.0 THICK = 1.7 WIDTH = 20.0 MY_FORCE = 2000.0 K,1,0,0,THICK K,2,0,0,0 K,3,LENGTH,0,0 K,4,LENGTH,0,THICK K,5,2.0*LENGTH,0,30.0 K,6,2.0*LENGTH,0,30.0+THICK K,7,3.0*LENGTH,0,30.0 K,8,3.0*LENGTH,0,30.0+THICK


2059

NAFEMS Input Listings K,9, 0,WIDTH,THICK K,10,0,WIDTH,0 K,11,LENGTH,WIDTH,0 K,12,LENGTH,WIDTH,THICK K,13,2.0*LENGTH,WIDTH,30.0 K,14,2.0*LENGTH,WIDTH,30.0+THICK K,15,3.0*LENGTH,WIDTH,30.0 K,16,3.0*LENGTH,WIDTH,30.0+THICK V,2,3,11,10,1,4,12,9 V,3,5,13,11,4,6,14,12 V,5,7,15,13,6,8,16,14 ESIZE,10.0 AMESH,6 AMESH,11 AMESH,16 NSEL,S,LOC,X D,ALL,ALL NSEL,ALL NSEL,S,LOC, X,3.0*LENGTH NSEL,R,LOC, Y,0.0 NSEL,R,LOC, Z,30.0+THICK F,ALL,FZ,MY_FORCE NSEL,S,LOC, X,3.0*LENGTH NSEL,R,LOC, Y,WIDTH NSEL,R,LOC, Z, 30.0+THICK F,ALL,FZ,MY_FORCE NSEL,ALL FINISH /SOLU NLGEOM,ON NSUB,100 OUTRES,ALL,ALL /OUT,SCRATCH SOLVE FINI /POST1 PLNSOL,U,Z /POST26 NUMVAR,20 /GOLIST /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,TIP DEFLECTION /AXLAB,Y,LOAD /GTHK,AXIS,1 /GRTYP,0 /GROPT,ASCAL,ON /GROPT,LOGX,OFF /GROPT,LOGY,OFF /GROPT,AXDV,1 /GROPT,AXNM,ON /GROPT,AXNSC,1, /GROPT,DIG1,4, /GROPT,DIG2,3, /XRANGE,0,150 /YRANGE,0,4000 /GOPR /OUT, NSOL,2,110,U,Z RFORCE,3,2,F,Z RFORCE,4,32,F,Z RFORCE,5,31,F,Z RFORCE,6,30,F,Z RFORCE,7,18,F,Z ADD,8,3,4,5 ADD,9,6,7 ADD,10,8,9 PROD,11,10, , , , , ,-1,1,1,

2060


VM-R029-T4 181 Input Listing XVAR,2 PLVAR,11 PRVAR,11,2 FINISH /POST1 SET,LAST *GET,UY1,NODE,110,U,Z HF1=UY1/143.43 /GOPR *STATUS,PARM FINISH *DIM,VALUE,,1,3 *DIM,LABEL,CHAR,2 LABEL(1) = 'vmr029-','t1-281' *VFILL,VALUE(1,1),DATA,4000 *VFILL,VALUE(1,2),DATA,UY1 *VFILL,VALUE(1,3),DATA,HF1 /OUT,vmr029-t1-281,vrt /COM /COM,-------------- VMR029-T1 RESULTS COMPARISON-------------/COM, /COM,| LOAD | Mechanical APDL | RATIO | TEST /COM, /COM,SHELL281 *VWRITE,VALUE(1,1), VALUE(1,2), VALUE(1,3), LABEL(1),LABEL(2) (1X,F8.2,' ',F12.2,' ',F12.2,' ',A7,A8) /COM, /COM,---------------------------------------------------------/OUT FINISH *LIST,vmr029-t1-281,vrt

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VM-R029-T4 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T4-181 /TITLE,VMR029-T4-181,LATERAL-TORSIONAL BUCKLING OF AN ELASTIC CANTILEVER SUBJECTED TO TRANSVERSE END LOAD /COM,REFERENCE NAFEMS 3D BEAMS AND SHELLS MANUAL TEST 3DNLG-4 /FILNAME,vmr029-t4-181 /PREP7 ET, 1,SHELL181,,,2 R,1,0.2,0.2,0.2,0.2 MP,EX,1,1E4 MP,NUXY,1,0 MP,GXY,1,5000 BLOCK,0,100,0,5,0,5 LSEL,S,LINE,,9,10 LESIZE,ALL, , ,6 LSEL,S,LINE,,4,5 LESIZE,ALL, , ,10 TYPE,1 REAL,1 MAT,1 AMESH,3 NSEL,S,LOC,X,0 D,ALL,ALL NSEL,S,LOC,X,100 NSEL,R,LOC,Z,2.5 *GET,NTIP,NODE,0,NUM,MAX NSEL,S,LOC,X,100 NSEL,R,LOC,Z,0 *GET,ND1,NODE,0,NUM,MAX NSEL,S,LOC,X,100 NSEL,R,LOC,Z,5 *GET,ND2,NODE,0,NUM,MAX ALLSEL,ALL F,NTIP,FZ,-1 ALLSEL,ALL


2061

NAFEMS Input Listings FINISH /SOLU ANTYPE,STATIC RESCONTROL,LINEAR,ALL,1 EQSLV,SPARSE /OUT,SCRATCH SOLVE FINISH /SOLU ANTYPE,STATIC,RESTART,,,PERTURB PERTURB,BUCKLE,,,ALLKEEP SOLVE,ELFORM

! RESTART FILES FOR SUBSEQUENT LINEAR PERTURBATION

! PERFORM A PERTURBATION ANALYSIS ! PERTURBED BUCKLING SOLVE ! REFORM ELEMENT MATRICES

OUTRES,ALL,ALL bucopt,SUBSP,4,,,range MXPAND,4,,,YES SOLVE FINISH /PREP7 UPGEOM,0.001/4,1,1,vmr029-t4-181,rstp NSEL,S,NODE,,ND1 NSEL,A,NODE,,ND2 NLIST NSEL,ALL FINISH /SOLU ANTYPE,STATIC OUTRES,ALL,ALL NLGEOM,ON ARCLEN,ON,1,0.0001 ARCTRM,U,1.0,NTIP,UY NSUBST,1000 SOLVE FINISH /POST26 NSOL,2,NTIP,U,Y,TIPDISP ADD,3,1,,,APLOAD,,,1, /XRANGE,0,0.06 /YRANGE,0,0.02 /GROPT,DIVX,6 /AXLAB,X,TIP LATERAL DISP /AXLAB,Y,LOAD /COLOR,CURVE,YGRE XVAR,2 PLVAR,3 /OUT, PRVAR,2,4 /POST1 SET,1,19 *GET,APLOAD,TIME R=APLOAD/0.01892 *DIM,VALUE,,1,3 *DIM,LABEL,CHAR,3 LABEL(1) = 'PCR','vmr029-','t4-181' *VFILL,VALUE(1,1),DATA,APLOAD *VFILL,VALUE(1,2),DATA,R /OUT,vmr029-t4-181,vrt /COM /COM,-------------- VMR029-T4 RESULTS COMPARISON --------------/COM, /COM, | Mechanical APDL | RATIO | TEST | /COM, /COM,SHELL181 *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2),LABEL(2),LABEL(3) (1X,' ',A4,' ',F10.5,' ',F12.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT

2062


VM-R029-T4 185 Input Listing FINISH *LIST,vmr029-t4-181,vrt

VM-R029-T4 185 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T4-185 /TITLE,VMR029-T4-185,LATERAL-TORSIONAL BUCKLING OF AN ELASTIC CANTILEVER SUBJECTED TO TRANSVERSE END LOAD /COM,REFERENCE: NAFEMS 3D BEAMS AND SHELLS MANUAL TEST 3DNLG-4 /FILENAME,vmr029-t4-185 /OUT,SCRATCH /PREP7 MP,EX,1,1.0E4 MP,NUXY,1,0.0 ET,1,185 KEYOPT,1,2,2 K,1, K,2,100, K,3,100,0.2 K,4,,0.2 L,1,2 L,2,3 L,3,4 L,4,1 AL,1,2,3,4 VOFFST,1,-5 LESIZE,1,,,40 LESIZE,2,,,2 LESIZE,11,,,4 MSHKEY,1 TYPE,1 $ MAT,1 VMESH,1 NSEL,S,LOC,X,0.0 D,ALL,ALL ALLSEL,ALL F,374,FZ,1.0 ALLSEL,ALL FINISH /SOLU ANTYPE,STATIC RESCONTROL,LINEAR,ALL,1 ! RESTART FILES FOR SUBSEQUENT LINEAR PERTURBATION EQSLV,SPARSE SOLVE FINISH /SOLU ANTYPE,STATIC,RESTART,,,PERTURB ! PERFORM A PERTURBATION ANALYSIS PERTURB,BUCKLE,,,ALLKEEP ! PERTURBED BUCKLING SOLVE SOLVE,ELFORM OUTRES,ALL,ALL bucopt,LANB,4,,,range MXPAND,4,,,YES SOLVE FINISH /PREP7 UPGEOM,0.001/4,1,1,vmr029-t4-185,rstp FINISH /SOLU ANTYPE,STATIC OUTRES,ALL,ALL NLGEOM,ON ARCLEN,ON,25,0.0001 ARCTRM,U,1.0,374,UY NSUBST,10000 SOLVE FINISH /POST26


2063

NAFEMS Input Listings /SHOW,,jpeg NSOL,2,374,U,Y,TIPDISP ADD,3,1,,,APLOAD,,,1, /XRANGE,0,0.06 /YRANGE,0,0.020 /GROPT,DIVX,6 /AXLAB,X,TIP LATERAL DISP /AXLAB,Y,LOAD /COLOR,CURVE,YGRE XVAR,2 PLVAR,3 PRVAR,2,3 /POST1 /OUT, SET,1,15 *GET,APLOAD,TIME R=APLOAD/0.01892 *DIM,VALUE,,1,3 *DIM,LABEL,CHAR,3 LABEL(1) = 'PCR','vmr029-','t4-185' *VFILL,VALUE(1,1),DATA,APLOAD *VFILL,VALUE(1,2),DATA,R /OUT,vmr029-t4-185,vrt /COM /COM,-------------- VMR029-T4 RESULTS COMPARISON --------------/COM, /COM, | Mechanical APDL | RATIO | TEST | /COM, /COM,SOLID185 *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2),LABEL(2),LABEL(3) (1X,' ',A4,' ',F10.5,' ',F12.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr029-t4-185,vrt

VM-R029-T4 188 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T4-188 /TITLE,VMR029-T4-188,LATERAL-TORSIONAL BUCKLING OF AN ELASTIC CANTILEVER SUBJECTED TO TRANSVERSE END LOAD /COM, REFERENCE NAFEMS 3D BEAMS AND SHELLS MANUAL TEST 3DNLG-4 /FILENAME,vmr029-t4-188 /PREP7 MP,EX,1,1E4 MP,NUXY,1,0 MP,GXY,1,5000 ET,1,188 SECT,1,BEAM,RECT SECD,.2,5.0 N,1 N,2,10 N,3,20 N,4,30 N,5,40 N,6,50 N,7,60 N,8,70 N,9,80 N,10,90 N,11,100 N,101 , 50,50 TYPE,1 MAT,1 SECN,1

2064


VM-R029-T4 188 Input Listing E,1,2,101 E,2,3,101 E,3,4,101 E,4,5,101 E,5,6,101 E,6,7,101 E,7,8,101 E,8,9,101 E,9,10,101 E,10,11,101 NSEL,S,LOC,X,100 *GET,NTIP,NODE,0,NUM,MAX NSEL,ALL D,1,ALL F,NTIP,FY,1.0 FINISH /SOLU ANTYPE,STATIC RESCONTROL,LINEAR,ALL,1 SOLVE FINISH


/SOLU ANTYPE,STATIC,RESTART,,,PERTURB ! PERFORM A PERTURBATION ANALYSIS PERTURB,BUCKLE,,,ALLKEEP ! PERTURBED BUCKLING SOLVE SOLVE,ELFORM OUTRES,ALL,ALL bucopt,LANB,4,,,range MXPAND,4,,,YES SOLVE FINISH

/PREP7 UPGEOM,0.001/3,1,1,vmr029-t4-188,rstp FINISH /SOLU ANTYPE,STATIC OUTRES,ALL,ALL NLGEOM,ON ARCLEN,ON,5,0.0001 ARCTRM,U,1.0,NTIP,UZ NSUBST,10000 /OUT,SCRATCH SOLVE FINISH /POST26 /SHOW,,jpeg NSOL,2,NTIP,U,Z,TIPDISP ADD,3,1,,,APLOAD,,,1, /XRANGE,0,0.06 /YRANGE,0,0.02 /GROPT,DIVX,6 /AXLAB,X,TIP LATERAL DISP /AXLAB,Y,LOAD /COLOR,CURVE,YGRE XVAR,2 PLVAR,3 /OUT, PRVAR,2,4 /POST1 SET,1,122 *GET,APLOAD,TIME R=APLOAD/0.01892 *DIM,VALUE,,1,3 *DIM,LABEL,CHAR,3 LABEL(1) = 'PCR','vmr029-','t4-188'


2065

NAFEMS Input Listings *VFILL,VALUE(1,1),DATA,APLOAD *VFILL,VALUE(1,2),DATA,R /OUT,vmr029-t4-188,vrt /COM /COM,-------------- VMR029-T4 RESULTS COMPARISON --------------/COM, /COM, | Mechanical APDL | RATIO | TEST | /COM, /COM,BEAM188 *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2),LABEL(2),LABEL(3) (1X,' ',A4,' ',F10.5,' ',F12.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr029-t4-188,vrt

VM-R029-T4 189 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T4-189 /TITLE,VMR029-T4-189,LATERAL-TORSIONAL BUCKLING OF AN ELASTIC CANTILEVER SUBJECTED TO TRANSVERSE END LOAD /COM,REFERENCE NAFEMS 3D BEAMS AND SHELLS MANUAL TEST 3DNLG-4 /FILNAME,vmr029-t4-189 /PREP7 MP,EX,1,1E4 MP,NUXY,1,0 MP,GXY,1,5000 ET,1,189 SECT,1,BEAM,RECT SECD,.2,5.0 N,1 N,2,10 N,3,20 N,4,30 N,5,40 N,6,50 N,7,60 N,8,70 N,9,80 N,10,90 N,11,100 N,101,50,50 TYPE,1 MAT,1 SECN,1 E,1,3,2,101 E,3,5,4,101 E,5,7,6,101 E,7,9,8,101 E,9,11,10,101 NSEL,S,LOC,X,100 *GET,NTIP,NODE,0,NUM,MAX NSEL,ALL D,1,ALL F,NTIP,FY,1.0 FINISH /SOLU ANTYPE,STATIC RESCONTROL,LINEAR,ALL,1 SOLVE FINISH


/SOLU ANTYPE,STATIC,RESTART,,,PERTURB ! PERFORM A PERTURBATION ANALYSIS PERTURB,BUCKLE,,,ALLKEEP ! PERTURBED BUCKLING SOLVE

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VM-R029-T4 190 Input Listing SOLVE,ELFORM OUTRES,ALL,ALL bucopt,LANB,4,,,range MXPAND,4,,,YES SOLVE FINISH /PREP7 UPGEOM,0.001/3,1,1,vmr029-t4-189,rstp FINISH /SOLU ANTYPE,STATIC OUTRES,ALL,ALL NLGEOM,ON ARCLEN,ON,1,0.0001 ARCTRM,U,1.0,NTIP,UZ NSUBST,10000 /OUT,SCRATCH SOLVE FINISH /POST26 /SHOW,,jpeg NSOL,2,NTIP,U,Z,TIPDISP ADD,3,1,,,APLOAD,,,1, /XRANGE,0,0.06 /YRANGE,0,0.02 /GROPT,DIVX,6 /AXLAB,X,TIP LATERAL DISP /AXLAB,Y,LOAD /COLOR,CURVE,YGRE XVAR,2 PLVAR,3 /OUT, PRVAR,2,4 FINISH /POST1 SET,1,595 *GET,APLOAD,TIME R=APLOAD/0.01892 *DIM,VALUE,,1,3 *DIM,LABEL,CHAR,3 LABEL(1) = 'PCR','vmr029-','t4-189' *VFILL,VALUE(1,1),DATA,APLOAD *VFILL,VALUE(1,2),DATA,R /OUT,vmr029-t4-189,vrt /COM /COM,-------------- VMR029-T4 RESULTS COMPARISON --------------/COM, /COM, | Mechanical APDL | RATIO | TEST | /COM, /COM,BEAM189 *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2),LABEL(2),LABEL(3) (1X,' ',A4,' ',F10.5,' ',F13.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr029-t4-189,vrt

VM-R029-T4 190 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T4-190 /TITLE,VMR029-T4-190,LATERAL-TORSIONAL BUCKLING OF AN ELASTIC CANTILEVER SUBJECTED TO TRANSVERSE END LOAD


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NAFEMS Input Listings /COM,REFERENCE NAFEMS 3D BEAMS AND SHELLS MANUAL TEST 3DNLG-4 /conf,npro,1 /FILENAME,vmr029-t4-190 /prep7 cdread,all,vmr029-t4-190,cdb /OUT,SCRATCH /SOLU ANTYPE,STATIC RESCONTROL,LINEAR,ALL,1 ! RESTART FILES FOR SUBSEQUENT LINEAR PERTURBATION EQSLV,SPARSE SOLVE FINISH /SOLU ANTYPE,STATIC,RESTART,,,PERTURB ! PERFORM A PERTURBATION ANALYSIS PERTURB,BUCKLE,,,ALLKEEP ! PERTURBED BUCKLING SOLVE SOLVE,ELFORM OUTRES,ALL,ALL BUCOPT,LANB,4, MXPAND,4,,,YES SOLVE FINISH /PREP7 UPGEOM,0.001/4,1,1,vmr029-t4-190,rstp FINISH /SOLU ANTYPE,STATIC OUTRES,ALL,ALL NLGEOM,ON ARCLEN,ON,2,0.0001 ARCTRM,U,1.0,374,UY NSUBST,1000 SOLVE FINISH /POST26 /SHOW,,jpeg NSOL,2,374,U,Y,TIPDISP ADD,3,1,,,APLOAD,,,1, /XRANGE,0,0.06 /YRANGE,0,0.020 /GROPT,DIVX,6 /AXLAB,X,TIP LATERAL DISP /AXLAB,Y,LOAD /COLOR,CURVE,YGRE XVAR,2 PLVAR,3 PRVAR,2,3 /POST1 /OUT, SET,1,11 *GET,APLOAD,TIME R=APLOAD/0.01892 *DIM,VALUE,,1,3 *DIM,LABEL,CHAR,3 LABEL(1) = 'PCR','vmr029-','t4-190' *VFILL,VALUE(1,1),DATA,APLOAD *VFILL,VALUE(1,2),DATA,R /OUT,vmr029-t4-190,vrt /COM /COM,-------------- VMR029-T4 RESULTS COMPARISON --------------/COM, /COM, | Mechanical APDL | RATIO | TEST | /COM, /COM,SOLSH190 *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2),LABEL(2),LABEL(3)

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VM-R029-T4 281 Input Listing (1X,' ',A4,' ',F10.5,' ',F13.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr029-t4-190,vrt

VM-R029-T4 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T4-281 /TITLE,VMR029-T4-281,LATERAL-TORSIONAL BUCKLING OF AN ELASTIC CANTILEVER SUBJECTED TO TRANSVERSE END LOAD /COM,REFERENCE NAFEMS 3D BEAMS AND SHELLS MANUAL TEST 3DNLG-4 /FILNAME,vmr029-t4-281 /PREP7 ET, 1,281 R,1,0.2,0.2,0.2,0.2 MP,EX,1,1E4 MP,NUXY,1,0 MP,GXY,1,5000 BLOCK,0,100,0,5,0,5 LSEL,S,LINE,,9,10 LESIZE,ALL, , ,6 LSEL,S,LINE,,4,5 LESIZE,ALL, , ,10 TYPE,1 REAL,1 MAT,1 AMESH,3 NSEL,S,LOC,X,0 D,ALL,ALL NSEL,S,LOC,X,100 NSEL,R,LOC,Z,2.5 *GET,NTIP,NODE,0,NUM,MAX NSEL,S,LOC,X,100 NSEL,R,LOC,Z,0 *GET,ND1,NODE,0,NUM,MAX NSEL,S,LOC,X,100 NSEL,R,LOC,Z,5 *GET,ND2,NODE,0,NUM,MAX ALLSEL,ALL F,NTIP,FZ,-1 ALLSEL,ALL FINISH /SOLU ANTYPE,STATIC RESCONTROL,LINEAR,ALL,1 EQSLV,SPARSE SOLVE FINISH


/SOLU ANTYPE,STATIC,RESTART,,,PERTURB ! PERFORM A PERTURBATION ANALYSIS PERTURB,BUCKLE,,,ALLKEEP ! PERTURBED BUCKLING SOLVE SOLVE,ELFORM OUTRES,ALL,ALL OUTRES,ALL,ALL BUCOPT,SUBSPACE,4,0,,RANGE MXPAND,4,,,YES SOLVE FINISH /PREP7 UPGEOM,0.0015,1,1,vmr029-t4-281,rstp NSEL,S,NODE,,ND1


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NAFEMS Input Listings NSEL,A,NODE,,ND2 NLIST NSEL,ALL FINISH /SOLU ANTYPE,STATIC OUTRES,ALL,ALL NLGEOM,ON ARCLEN,ON,2,0.0001 ARCTRM,U,1.0,NTIP,UY NSUBST,1000 /OUT,SCRATCH SOLVE FINISH /POST26 NSOL,2,NTIP,U,Y,TIPDISP ADD,3,1,,,APLOAD,,,1, /XRANGE,0,0.06 /YRANGE,0,0.02 /GROPT,DIVX,6 /AXLAB,X,TIP LATERAL DISP /AXLAB,Y,LOAD /COLOR,CURVE,YGRE XVAR,2 PLVAR,3 /OUT, PRVAR,2,4 FINISH /POST1 SET,1,12 *GET,APLOAD,TIME R=APLOAD/0.01892 *DIM,VALUE,,1,3 *DIM,LABEL,CHAR,3 LABEL(1) = 'PCR','vmr029-','t4-281' *VFILL,VALUE(1,1),DATA,APLOAD *VFILL,VALUE(1,2),DATA,R /OUT,vmr029-t4-281,vrt /COM /COM,-------------- VMR029-T4 RESULTS COMPARISON --------------/COM, /COM, | Mechanical APDL | RATIO | TEST | /COM, /COM,SHELL281 *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2),LABEL(2),LABEL(3) (1X,' ',A4,' ',F10.5,' ',F13.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr029-t4-281,vrt

VM-R029-T5 185 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T5-185 /TITLE,VMR029-T5-185, LARGE DEFLECTION OF A CURVED ELASTIC CANTILEVER UNDER TRANSVERSE END LOAD /COM,REFERENCE NAFEMS 3D BEAMS AND SHELLS MANUAL TEST 3DNLG-5 /PREP7 W=1.0 H=1.0 R=100 THETA=45 F=3000.0

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VM-R029-T5 185 Input Listing ET,1,185 KEYOPT,1,2,2 MP,EX,1,1E7 MP,NUXY,1,0.3 K,1,0,-H/2,-W/2 K,2,0,-H/2,W/2 K,3,0,H/2,W/2 K,4,0,H/2,-W/2 K,5,0,0,R K,6,0,1,R A,1,2,3,4 VROTAT,ALL, , , , , ,5,6,-45, , LESIZE,ALL,,,1 LESIZE,9,,,16 LESIZE,10,,,16 LESIZE,11,,,16 LESIZE,12,,,16 VMESH,ALL NSEL,S,LOC,X,0 D,ALL,ALL NSEL,S,LOC,Z,28.5,30 F,ALL,FY,750 ALLSEL,ALL ESEL,S,,,1 ESEL,A,,,4 ESEL,A,,,16 CM,ELESOL,ELEM ALLSEL,ALL FINISH /SOLVE NLGEOM,ON AUTOTS,ON NSUBST,100,100000,10 OUTRES,ALL,ALL /OUT,SCRATCH SOLVE FINISH /SHOW,,jpeg /POST26 *DIM,XUX,TABLE,11,1 *DIM,YUX,TABLE,11,1 XUX(1,1)= 0 YUX(1,1)= 0 XUX(2,1)= 300 YUX(2,1)= -7.14 XUX(3,1)= 600 YUX(3,1)= -13.68 XUX(4,1)= 900 YUX(4,1)= -18 XUX(5,1)= 1200 YUX(5,1)= -20.5 XUX(6,1)= 1500 YUX(6,1)= -21.5 XUX(7,1)= 1800 YUX(7,1)= -22.8 XUX(8,1)= 2100 YUX(8,1)= -23.7 XUX(9,1)= 2400 YUX(9,1)= -24.4 XUX(10,1)= 2700 YUX(10,1)= -24.6 XUX(11,1)= 3000 YUX(11,1)= -25 /XRANGE,0,3000 /YRANGE,-60,90 /AXLAB,X,LOAD /AXLAB,Y,TIP DISPLACEMENT /COLOR,CURVE,YGRE /GCOLUMN,1,' X_REF'


2071

NAFEMS Input Listings *VPLOT,XUX(1,1),YUX(1,1) /OUT, /NOERASE NSOL,2,3,U,Z,UX PROD,7,1, , ,LOAD, , ,3000.0,0,0, /COLOR,CURVE,MRED XVAR,7 PLVAR,2 /NOERASE *DIM,XUY,TABLE,11,1 *DIM,YUY,TABLE,11,1 XUY(1,1)= 0 YUY(1,1)= 0 XUY(2,1)= 300 YUY(2,1)= -12.18 XUY(3,1)= 600 YUY(3,1)= -23.87 XUY(4,1)= 900 YUY(4,1)= -30 XUY(5,1)= 1200 YUY(5,1)= -33.5 XUY(6,1)= 1500 YUY(6,1)= -38 XUY(7,1)= 1800 YUY(7,1)= -40 XUY(8,1)= 2100 YUY(8,1)= -42.5 XUY(9,1)= 2400 YUY(9,1)= -44 XUY(10,1)= 2700 YUY(10,1)= -45 XUY(11,1)= 3000 YUY(11,1)= -47.31 /COLOR,CURVE,YGRE /GCOLUMN,1,' Y_REF' *VPLOT,XUY(1,1),YUY(1,1) /NOERASE NSOL,3,3,U,X,UY /COLOR,CURVE,MRED XVAR,7 PLVAR,3 /NOERASE *DIM,XUZ,TABLE,11,1 *DIM,YUZ,TABLE,11,1 XUZ(1,1)= 0 YUZ(1,1)= 0 XUZ(2,1)= 300 YUZ(2,1)= 40.53 XUZ(3,1)= 600 YUZ(3,1)= 53.71 XUZ(4,1)= 900 YUZ(4,1)= 60 XUZ(5,1)= 1200 YUZ(5,1)= 62 XUZ(6,1)= 1500 YUZ(6,1)= 63 XUZ(7,1)= 1800 YUZ(7,1)= 64.5 XUZ(8,1)= 2100 YUZ(8,1)= 65.5 XUZ(9,1)= 2400 YUZ(9,1)= 66 XUZ(10,1)= 2700 YUZ(10,1)= 67 XUZ(11,1)= 3000 YUZ(11,1)= 68.09 /COLOR,CURVE,YGRE /GCOLUMN,1,' Z_REF' *VPLOT,XUZ(1,1),YUZ(1,1) /NOERASE

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VM-R029-T5 185 Input Listing NSOL,4,3,U,Y,UZ /COLOR,CURVE,MRED XVAR,7 PLVAR,4 FINISH /POST1 SET,,,1,,0.1,, *GET,UX_300,NODE,3,U,Z *GET,UY_300,NODE,3,U,X *GET,UZ_300,NODE,3,U,Y SET,,,1,,0.15,, *GET,UX_450,NODE,3,U,Z *GET,UY_450,NODE,3,U,X *GET,UZ_450,NODE,3,U,Y SET,,,1,,0.2,, *GET,UX_600,NODE,3,U,Z *GET,UY_600,NODE,3,U,X *GET,UZ_600,NODE,3,U,Y SET,,,1,,1.0,, *GET,UX_3000,NODE,3,U,Z *GET,UY_3000,NODE,3,U,X *GET,UZ_3000,NODE,3,U,Y *DIM,LABEL1,CHAR,1,4 LABEL1(1,1) = ' 300' LABEL1(1,2) = ' 450' LABEL1(1,3) = ' 600' LABEL1(1,4) = '3000' *DIM,VALUE1,CHAR,1,4 VALUE1(1,1) = '-7.14' VALUE1(1,2) = '-10.86' VALUE1(1,3) = '-13.68' VALUE1(1,4) = '-24.97' *DIM,VALUE2,CHAR,1,4 VALUE2(1,1) = '-6.98' VALUE2(1,2) = '-10.70' VALUE2(1,3) = '-13.51' VALUE2(1,4) = '-25.00' *DIM,ERROR1,,1,4 *VFILL,ERROR1(1,1),DATA,UX_300 *VFILL,ERROR1(1,2),DATA,UX_450 *VFILL,ERROR1(1,3),DATA,UX_600 *VFILL,ERROR1(1,4),DATA,UX_3000

/COM, ************************* NOTE **************************** /COM, /COM, THE GLOBAL CS OF THIS MODEL DOES NOT MATCH THE CS OF NAFEMS /COM, TEST. HERE IS THE CORRESPODANCE: /COM, NAFEMS Mechanical APDL /COM, X >>> Z /COM, Y >>> X /COM, Z >>> Y /COM, /COM, ------------- TIP DISPLACEMENT: UX -------------/COM, /COM, | NAFEMS TEST | Mechanical APDL /COM, | LOAD | REF. | NUM.RES. | SOL.185 | /COM, *VWRITE,LABEL1(1,1),VALUE1(1,1),VALUE2(1,1),ERROR1(1,1) (1X,' ',A4,' ',A6,' ',A6,' ',F8.4) *VWRITE,LABEL1(1,2),VALUE1(1,2),VALUE2(1,2),ERROR1(1,2) (1X,' ',A4,' ',A6,' ',A6,' ',F8.4) *VWRITE,LABEL1(1,3),VALUE1(1,3),VALUE2(1,3),ERROR1(1,3) (1X,' ',A4,' ',A6,' ',A6,' ',F8.4) *VWRITE,LABEL1(1,4),VALUE1(1,4),VALUE2(1,4),ERROR1(1,4) (1X,' ',A4,' ',A6,' ',A6,' ',F8.4) /COM, /COM, ----------------------------------------------------/OUT,SCRATCH VALUE1(1,1) = '-12.18' VALUE1(1,2) = '-18.78'

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NAFEMS Input Listings VALUE1(1,3) = '-23.87' VALUE1(1,4) = '-47.31' VALUE2(1,1) = '-11.91' VALUE2(1,2) = '-18.45' VALUE2(1,3) = '-23.54' VALUE2(1,4) = '-47.70' *VFILL,ERROR1(1,1),DATA,UY_300 *VFILL,ERROR1(1,2),DATA,UY_450 *VFILL,ERROR1(1,3),DATA,UY_600 *VFILL,ERROR1(1,4),DATA,UY_3000 /OUT /COM, ------------- TIP DISPLACEMENT: UY -------------/COM, /COM, | NAFEMS TEST | Mechanical APDL /COM, | LOAD | REF. | NUM.RES. | SOL.185 | /COM, *VWRITE,LABEL1(1,1),VALUE1(1,1),VALUE2(1,1),ERROR1(1,1) (1X,' ',A4,' ',A6,' ',A6,' ',F8.4) *VWRITE,LABEL1(1,2),VALUE1(1,2),VALUE2(1,2),ERROR1(1,2) (1X,' ',A4,' ',A6,' ',A6,' ',F8.4) *VWRITE,LABEL1(1,3),VALUE1(1,3),VALUE2(1,3),ERROR1(1,3) (1X,' ',A4,' ',A6,' ',A6,' ',F8.4) *VWRITE,LABEL1(1,4),VALUE1(1,4),VALUE2(1,4),ERROR1(1,4) (1X,' ',A4,' ',A6,' ',A6,' ',F8.4) /COM, /COM, ----------------------------------------------------/OUT,SCRATCH VALUE1(1,1) = '40.53' VALUE1(1,2) = '48.79' VALUE1(1,3) = '53.71' VALUE1(1,4) = '68.09' VALUE2(1,1) = '40.15' VALUE2(1,2) = '48.48' VALUE2(1,3) = '53.47' VALUE2(1,4) = '68.56' *VFILL,ERROR1(1,1),DATA,UZ_300 *VFILL,ERROR1(1,2),DATA,UZ_450 *VFILL,ERROR1(1,3),DATA,UZ_600 *VFILL,ERROR1(1,4),DATA,UZ_3000 /OUT /COM, ------------- TIP DISPLACEMENT: UZ -------------/COM, /COM, | NAFEMS TEST | Mechanical APDL /COM, | LOAD | REF. | NUM.RES. | SOL.185 | /COM, *VWRITE,LABEL1(1,1),VALUE1(1,1),VALUE2(1,1),ERROR1(1,1) (1X,' ',A4,' ',A5,' ',A5,' ',F8.4) *VWRITE,LABEL1(1,2),VALUE1(1,2),VALUE2(1,2),ERROR1(1,2) (1X,' ',A4,' ',A5,' ',A5,' ',F8.4) *VWRITE,LABEL1(1,3),VALUE1(1,3),VALUE2(1,3),ERROR1(1,3) (1X,' ',A4,' ',A5,' ',A5,' ',F8.4) *VWRITE,LABEL1(1,4),VALUE1(1,4),VALUE2(1,4),ERROR1(1,4) (1X,' ',A4,' ',A5,' ',A5,' ',F8.4) /COM, /COM, ----------------------------------------------------ESEL,,,,ELESOL NSLE ESEL,ALL PRNSOL,S,COMP PRNSOL,EPTO,COMP FINISH

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/POST1 /COM, !WARNING! /COM, Mechanical APDL RESULTS GIVEN IN DIFFERENT CS THAN /COM, NAFEMS MANUAL, CS RESULTS SHOULD BE TAKEN AS: /COM, X >>> Z /COM, Y >>> X /COM, Z >>> Y SET,1,23 *GET,UX1,NODE,52,U,Z *GET,UY1,NODE,52,U,X

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VM-R029-T5 188 Input Listing *GET,UZ1,NODE,52,U,Y *GET,APLOAD,TIME RX=ABS(UX1/24.97) RY=ABS(UY1/47.31) RZ=ABS(UZ1/68.09) *DIM,VALUE,,3,2 *DIM,LABEL2,CHAR,3 *DIM,LABEL3,CHAR,3 *DIM,LABEL,CHAR,3 LABEL2(1) = 'UX','UY','UZ' LABEL(1) = 'vmr029-','vmr029-','vmr029-' LABEL3(1) = 't5-185','t5-185','t5-185' *VFILL,VALUE(1,1),DATA,ABS(UX1),ABS(UY1),ABS(UZ1) *VFILL,VALUE(1,2),DATA,RX,RY,RZ /OUT,vmr029-t5-185,vrt /COM /COM,-------------- VMR029-T5 RESULTS COMPARISON --------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM,SOLID185 *VWRITE,LABEL2(1),VALUE(1,1),VALUE(1,2),LABEL(1),LABEL3(1) (1X,' ',A2,' ',F12.4,' ',F13.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr029-t5-185,vrt

VM-R029-T5 188 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T5-188 /TITLE,VMR029-T5-188,LARGE DEFLECTION OF A CURVED ELASTIC CANTILEVER UNDER TRANSVERSE END LOAD /COM, REFERENCE: NAFEMS BENCHMARK TEST FOR BEAMS AND SHELLS TEST 3DNLG-5 /PREP7 CSYS,1 T = 45/8.0 N,1,100.0,0.0 N,2,100.0,-T N,3,100.0,-2*T N,4,100.0,-3*T N,5,100.0,-4*T N,6,100.0,-5*T N,7,100.0,-6*T N,8,100.0,-7*T N,9,100.0,-8*T ET,1,188 SECN,1 N,101,0.0, CSYS,0 E,1,2,101 E,2,3,101 E,3,4,101 E,4,5,101 E,5,6,101 E,6,7,101 E,7,8,101 E,8,9,101 SECT,1,BEAM,RECT SECD,1,1 MP,EX,1,1E7 MP,GXY,1,0.5E7 MP,NUXY,1,0.0 D,1,ALL /SOLU


2075

NAFEMS Input Listings NLGEOM,ON OUTRES,ALL,ALL F,9,FZ,3000 SOLC,ON NSUBST,40,200 /OUT,SCRATCH SOLVE FINISH /SHOW,,jpeg /POST26 *DIM,XUX,TABLE,11,1 *DIM,YUX,TABLE,11,1 XUX(1,1)= 0 YUX(1,1)= 0 XUX(2,1)= 300 YUX(2,1)= -7.14 XUX(3,1)= 600 YUX(3,1)= -13.68 XUX(4,1)= 900 YUX(4,1)= -18 XUX(5,1)= 1200 YUX(5,1)= -20.5 XUX(6,1)= 1500 YUX(6,1)= -21.5 XUX(7,1)= 1800 YUX(7,1)= -22.8 XUX(8,1)= 2100 YUX(8,1)= -23.7 XUX(9,1)= 2400 YUX(9,1)= -24.4 XUX(10,1)= 2700 YUX(10,1)= -24.6 XUX(11,1)= 3000 YUX(11,1)= -25 /XRANGE,0,3000 /YRANGE,-60,90 /AXLAB,X,LOAD /AXLAB,Y,TIP DISPLACEMENT /COLOR,CURVE,YGRE /GCOLUMN,1,' REF_UX' *VPLOT,XUX(1,1),YUX(1,1) /NOERASE /OUT, NSOL,2,9,U,Z,UZ PROD,7,1, , ,LOAD, , ,3000.0,0,0, /COLOR,CURVE,MRED XVAR,7 PLVAR,2 /NOERASE *DIM,XUY,TABLE,11,1 *DIM,YUY,TABLE,11,1 XUY(1,1)= 0 YUY(1,1)= 0 XUY(2,1)= 300 YUY(2,1)= -12.18 XUY(3,1)= 600 YUY(3,1)= -23.87 XUY(4,1)= 900 YUY(4,1)= -30 XUY(5,1)= 1200 YUY(5,1)= -33.5 XUY(6,1)= 1500 YUY(6,1)= -38 XUY(7,1)= 1800 YUY(7,1)= -40 XUY(8,1)= 2100 YUY(8,1)= -42.5 XUY(9,1)= 2400 YUY(9,1)= -44 XUY(10,1)= 2700

2076


VM-R029-T5 188 Input Listing YUY(10,1)= -45 XUY(11,1)= 3000 YUY(11,1)= -47.31 /COLOR,CURVE,YGRE /GCOLUMN,1,' REF_UY' *VPLOT,XUY(1,1),YUY(1,1) /NOERASE NSOL,3,9,U,X,UX PROD,5,3,,,UX,,,-1 /COLOR,CURVE,MRED XVAR,7 PLVAR,5 /NOERASE *DIM,XUZ,TABLE,11,1 *DIM,YUZ,TABLE,11,1 XUZ(1,1)= 0 YUZ(1,1)= 0 XUZ(2,1)= 300 YUZ(2,1)= 40.53 XUZ(3,1)= 600 YUZ(3,1)= 53.71 XUZ(4,1)= 900 YUZ(4,1)= 60 XUZ(5,1)= 1200 YUZ(5,1)= 62 XUZ(6,1)= 1500 YUZ(6,1)= 63 XUZ(7,1)= 1800 YUZ(7,1)= 64.5 XUZ(8,1)= 2100 YUZ(8,1)= 65.5 XUZ(9,1)= 2400 YUZ(9,1)= 66 XUZ(10,1)= 2700 YUZ(10,1)= 67 XUZ(11,1)= 3000 YUZ(11,1)= 68.09 /COLOR,CURVE,YGRE /GCOLUMN,1,' REF_UZ' *VPLOT,XUZ(1,1),YUZ(1,1) /NOERASE NSOL,4,9,U,Y,UY PROD,6,4,,,UY,,,-1 /COLOR,CURVE,MRED XVAR,7 PLVAR,6 FINISH /POST1 SET,LAST PRNSOL,DOF *GET,UX1,NODE,9,U,X *GET,UY1,NODE,9,U,Y *GET,UZ1,NODE,9,U,Z *GET,APLOAD,TIME RX=ABS(UX1/24.97) RY=ABS(UY1/47.31) RZ=ABS(UZ1/68.09) *DIM,VALUE,,3,2 *DIM,LABEL2,CHAR,3 *DIM,LABEL,CHAR,3 *DIM,LABEL3,CHAR,3 LABEL2(1) = 'UX','UY','UZ' LABEL(1) = 'vmr029-','vmr029-','vmr029-' LABEL3(1) = 't5-188','t5-188','t5-188' *VFILL,VALUE(1,1),DATA,ABS(UX1),ABS(UY1),ABS(UZ1) *VFILL,VALUE(1,2),DATA,RX,RY,RZ /OUT,vmr029-t5-188,vrt /COM /COM,-------------- VMR029-T5 RESULTS COMPARISON ---------------


2077

NAFEMS Input Listings /COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM,BEAM188 *VWRITE,LABEL2(1),VALUE(1,1),VALUE(1,2),LABEL(1),LABEL3(1) (1X,' ',A2,' ',F12.4,' ',F13.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr029-t5-188,vrt

VM-R029-T5 189 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T5-189 /TITLE,VMR029-T5-189,LARGE DEFLECTION OF A CURVED ELASTIC CANTILEVER UNDER TRANSVERSE END LOAD /COM, REFERENCE: NAFEMS BENCHMARK TEST FOR BEAMS AND SHELLS TEST 3DNLG-5 /PREP7 CSYS,1 T = 45/8.0 N,1,100.0,0.0 N,2,100.0,-0.5*T N,3,100.0,-1.0*T N,4,100.0,-1.5*T N,5,100.0,-2.0*T N,6,100.0,-2.5*T N,7,100.0,-3.0*T N,8,100.0,-3.5*T N,9,100.0,-4.0*T N,10,100.0,-4.5*T N,11,100.0,-5.0*T N,12,100.0,-5.5*T N,13,100.0,-6.0*T N,14,100.0,-6.5*T N,15,100.0,-7.0*T N,16,100.0,-7.5*T N,17,100.0,-8.0*T ET,1,189 SECN,1 N,101,0.0, CSYS,0 E,1,3,2,101 E,3,5,4,101 E,5,7,6,101 E,7,9,8,101 E,9,11,10,101 E,11,13,12,101 E,13,15,14,101 E,15,17,16,101 SECT,1,BEAM,RECT SECD,1,1 MP,EX,1,1E7 MP,GXY,1,0.5E7 MP,NUXY,1,0.0 D,1,ALL /SOLU NLGEOM,ON OUTRES,ALL,ALL F,17,FZ,3000 SOLC,ON NSUBST,20,200 /OUT,SCRATCH SOLVE FINISH

2078


VM-R029-T5 189 Input Listing /SHOW,,jpeg /POST26 *DIM,XUX,TABLE,11,1 *DIM,YUX,TABLE,11,1 XUX(1,1)= 0 YUX(1,1)= 0 XUX(2,1)= 300 YUX(2,1)= -7.14 XUX(3,1)= 600 YUX(3,1)= -13.68 XUX(4,1)= 900 YUX(4,1)= -18 XUX(5,1)= 1200 YUX(5,1)= -20.5 XUX(6,1)= 1500 YUX(6,1)= -21.5 XUX(7,1)= 1800 YUX(7,1)= -22.8 XUX(8,1)= 2100 YUX(8,1)= -23.7 XUX(9,1)= 2400 YUX(9,1)= -24.4 XUX(10,1)= 2700 YUX(10,1)= -24.6 XUX(11,1)= 3000 YUX(11,1)= -25 /XRANGE,0,3000 /YRANGE,-60,90 /AXLAB,X,LOAD /AXLAB,Y,TIP DISPLACEMENT /COLOR,CURVE,YGRE /GCOLUMN,1,' REF_UX' *VPLOT,XUX(1,1),YUX(1,1) /NOERASE /OUT, NSOL,2,17,U,Z,UZ PROD,7,1, , ,LOAD, , ,3000.0,0,0, /COLOR,CURVE,MRED XVAR,7 PLVAR,2 /NOERASE *DIM,XUY,TABLE,11,1 *DIM,YUY,TABLE,11,1 XUY(1,1)= 0 YUY(1,1)= 0 XUY(2,1)= 300 YUY(2,1)= -12.18 XUY(3,1)= 600 YUY(3,1)= -23.87 XUY(4,1)= 900 YUY(4,1)= -30 XUY(5,1)= 1200 YUY(5,1)= -33.5 XUY(6,1)= 1500 YUY(6,1)= -38 XUY(7,1)= 1800 YUY(7,1)= -40 XUY(8,1)= 2100 YUY(8,1)= -42.5 XUY(9,1)= 2400 YUY(9,1)= -44 XUY(10,1)= 2700 YUY(10,1)= -45 XUY(11,1)= 3000 YUY(11,1)= -47.31 /COLOR,CURVE,YGRE /GCOLUMN,1,' REF_UY' *VPLOT,XUY(1,1),YUY(1,1) /NOERASE


2079

NAFEMS Input Listings NSOL,3,17,U,X,UX PROD,5,3,,,UX,,,-1 /COLOR,CURVE,MRED XVAR,7 PLVAR,5 /NOERASE *DIM,XUZ,TABLE,11,1 *DIM,YUZ,TABLE,11,1 XUZ(1,1)= 0 YUZ(1,1)= 0 XUZ(2,1)= 300 YUZ(2,1)= 40.53 XUZ(3,1)= 600 YUZ(3,1)= 53.71 XUZ(4,1)= 900 YUZ(4,1)= 60 XUZ(5,1)= 1200 YUZ(5,1)= 62 XUZ(6,1)= 1500 YUZ(6,1)= 63 XUZ(7,1)= 1800 YUZ(7,1)= 64.5 XUZ(8,1)= 2100 YUZ(8,1)= 65.5 XUZ(9,1)= 2400 YUZ(9,1)= 66 XUZ(10,1)= 2700 YUZ(10,1)= 67 XUZ(11,1)= 3000 YUZ(11,1)= 68.09 /COLOR,CURVE,YGRE /GCOLUMN,1,' REF_UZ' *VPLOT,XUZ(1,1),YUZ(1,1) /NOERASE NSOL,4,17,U,Y,UY PROD,6,4,,,UY,,,-1 /COLOR,CURVE,MRED XVAR,7 PLVAR,6 FINISH /POST1 SET,LAST PRNSOL,DOF *GET,UX1,NODE,17,U,X *GET,UY1,NODE,17,U,Y *GET,UZ1,NODE,17,U,Z *GET,APLOAD,TIME RX=ABS(UX1/24.97) RY=ABS(UY1/47.31) RZ=ABS(UZ1/68.09) *DIM,VALUE,,3,2 *DIM,LABEL2,CHAR,3 *DIM,LABEL,CHAR,3 *DIM,LABEL3,CHAR,3 LABEL2(1) = 'UX','UY','UZ' LABEL(1) = 'vmr029-','vmr029-','vmr029-' LABEL3(1) = 't5-189','t5-189','t5-189' *VFILL,VALUE(1,1),DATA,ABS(UX1),ABS(UY1),ABS(UZ1) *VFILL,VALUE(1,2),DATA,RX,RY,RZ /OUT,vmr029-t5-189,vrt /COM /COM,-------------- VMR029-T5 RESULTS COMPARISON --------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM,BEAM189 *VWRITE,LABEL2(1),VALUE(1,1),VALUE(1,2),LABEL(1),LABEL3(1) (1X,' ',A2,' ',F12.4,' ',F13.4,' ',A7,A8) /COM, /COM,----------------------------------------------------------------

2080


VM-R029-T5 190 Input Listing /OUT FINISH *LIST,vmr029-t5-189,vrt FINISH

VM-R029-T5 190 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T5-190 /TITLE,VMR029-T5-190, LARGE DEFLECTION OF A CURVED ELASTIC CANTILEVER UNDER TRANSVERSE END LOAD /COM,REFERENCE NAFEMS 3D BEAMS AND SHELLS MANUAL TEST 3DNLG-5 /PREP7 W=1.0 H=1.0 R=100 THETA=45 F=3000.0 ET,1,190 MP,EX,1,1E7 MP,NUXY,1,0.3 K,1,0,-H/2,-W/2 K,2,0,-H/2,W/2 K,3,0,H/2,W/2 K,4,0,H/2,-W/2 K,5,0,0,R K,6,0,1,R A,1,2,3,4 VROTAT,ALL, , , , , ,5,6,-45, , LESIZE,ALL,,,1 LESIZE,9,,,16 LESIZE,10,,,16 LESIZE,11,,,16 LESIZE,12,,,16 VEORIENT,1,THIN VMESH,ALL NSEL,S,LOC,X,0 D,ALL,ALL NSEL,S,LOC,Z,28.5,30 F,ALL,FY,750 ALLSEL,ALL ESEL,S,,,1 ESEL,A,,,4 ESEL,A,,,16 CM,ELESOL,ELEM ALLSEL,ALL FINISH /SOLVE NLGEOM,ON AUTOTS,ON NSUBST,100,100000,40 OUTRES,ALL,ALL /OUT,SCRATCH SOLVE FINISH /SHOW,,jpeg /POST26 *DIM,XUX,TABLE,11,1 *DIM,YUX,TABLE,11,1 XUX(1,1)= 0 YUX(1,1)= 0 XUX(2,1)= 300 YUX(2,1)= -7.14 XUX(3,1)= 600 YUX(3,1)= -13.68 XUX(4,1)= 900


2081

NAFEMS Input Listings YUX(4,1)= -18 XUX(5,1)= 1200 YUX(5,1)= -20.5 XUX(6,1)= 1500 YUX(6,1)= -21.5 XUX(7,1)= 1800 YUX(7,1)= -22.8 XUX(8,1)= 2100 YUX(8,1)= -23.7 XUX(9,1)= 2400 YUX(9,1)= -24.4 XUX(10,1)= 2700 YUX(10,1)= -24.6 XUX(11,1)= 3000 YUX(11,1)= -25 /XRANGE,0,3000 /YRANGE,-60,90 /AXLAB,X,LOAD /AXLAB,Y,RADIAL DISPLACEMENT /COLOR,CURVE,YGRE /GCOLUMN,1,' X_REF' *VPLOT,XUX(1,1),YUX(1,1) /NOERASE /OUT, NSOL,2,3,U,Z,UX PROD,7,1, , ,LOAD, , ,3000.0,0,0, /COLOR,CURVE,MRED XVAR,7 PLVAR,2 /NOERASE *DIM,XUY,TABLE,11,1 *DIM,YUY,TABLE,11,1 XUY(1,1)= 0 YUY(1,1)= 0 XUY(2,1)= 300 YUY(2,1)= -12.18 XUY(3,1)= 600 YUY(3,1)= -23.87 XUY(4,1)= 900 YUY(4,1)= -30 XUY(5,1)= 1200 YUY(5,1)= -33.5 XUY(6,1)= 1500 YUY(6,1)= -38 XUY(7,1)= 1800 YUY(7,1)= -40 XUY(8,1)= 2100 YUY(8,1)= -42.5 XUY(9,1)= 2400 YUY(9,1)= -44 XUY(10,1)= 2700 YUY(10,1)= -45 XUY(11,1)= 3000 YUY(11,1)= -47.31 /COLOR,CURVE,YGRE /GCOLUMN,1,' Y_REF' *VPLOT,XUY(1,1),YUY(1,1) /NOERASE NSOL,3,3,U,X,UY /COLOR,CURVE,MRED XVAR,7 PLVAR,3 /NOERASE *DIM,XUZ,TABLE,11,1 *DIM,YUZ,TABLE,11,1 XUZ(1,1)= 0 YUZ(1,1)= 0 XUZ(2,1)= 300 YUZ(2,1)= 40.53 XUZ(3,1)= 600

2082


VM-R029-T5 190 Input Listing YUZ(3,1)= 53.71 XUZ(4,1)= 900 YUZ(4,1)= 60 XUZ(5,1)= 1200 YUZ(5,1)= 62 XUZ(6,1)= 1500 YUZ(6,1)= 63 XUZ(7,1)= 1800 YUZ(7,1)= 64.5 XUZ(8,1)= 2100 YUZ(8,1)= 65.5 XUZ(9,1)= 2400 YUZ(9,1)= 66 XUZ(10,1)= 2700 YUZ(10,1)= 67 XUZ(11,1)= 3000 YUZ(11,1)= 68.09 /COLOR,CURVE,YGRE /GCOLUMN,1,' Z_REF' *VPLOT,XUZ(1,1),YUZ(1,1) /NOERASE NSOL,4,3,U,Y,UZ /COLOR,CURVE,MRED XVAR,7 PLVAR,4 FINISH /POST1 SET,,,1,,0.1,, *GET,UX_300,NODE,3,U,Z *GET,UY_300,NODE,3,U,X *GET,UZ_300,NODE,3,U,Y SET,,,1,,0.15,, *GET,UX_450,NODE,3,U,Z *GET,UY_450,NODE,3,U,X *GET,UZ_450,NODE,3,U,Y SET,,,1,,0.2,, *GET,UX_600,NODE,3,U,Z *GET,UY_600,NODE,3,U,X *GET,UZ_600,NODE,3,U,Y SET,,,1,,1.0,, *GET,UX_3000,NODE,3,U,Z *GET,UY_3000,NODE,3,U,X *GET,UZ_3000,NODE,3,U,Y *DIM,LABEL1,CHAR,1,4 LABEL1(1,1) = ' 300' LABEL1(1,2) = ' 450' LABEL1(1,3) = ' 600' LABEL1(1,4) = '3000' *DIM,VALUE1,CHAR,1,4 VALUE1(1,1) = '-7.14' VALUE1(1,2) = '-10.86' VALUE1(1,3) = '-13.68' VALUE1(1,4) = '-24.97' *DIM,VALUE2,CHAR,1,4 VALUE2(1,1) = '-6.98' VALUE2(1,2) = '-10.70' VALUE2(1,3) = '-13.51' VALUE2(1,4) = '-25.00' *DIM,ERROR1,,1,4 *VFILL,ERROR1(1,1),DATA,UX_300 *VFILL,ERROR1(1,2),DATA,UX_450 *VFILL,ERROR1(1,3),DATA,UX_600 *VFILL,ERROR1(1,4),DATA,UX_3000 /COM, ************************* NOTE **************************** /COM, /COM, THE GLOBAL CS OF THIS MODEL DOES NOT MATCH THE CS OF NAFEMS /COM, TEST. HERE IS THE CORRESPODANCE: /COM, NAFEMS Mechanical APDL /COM, X >>> Z


2083

NAFEMS Input Listings /COM, Y >>> X /COM, Z >>> Y /COM, /COM, ------------- TIP DISPLACEMENT: UX -------------/COM, /COM, | NAFEMS TEST | Mechanical APDL /COM, | LOAD | REF. | NUM.RES. | SOL.190 | /COM, *VWRITE,LABEL1(1,1),VALUE1(1,1),VALUE2(1,1),ERROR1(1,1) (1X,' ',A4,' ',A6,' ',A6,' ',F10.4) *VWRITE,LABEL1(1,2),VALUE1(1,2),VALUE2(1,2),ERROR1(1,2) (1X,' ',A4,' ',A6,' ',A6,' ',F10.4) *VWRITE,LABEL1(1,3),VALUE1(1,3),VALUE2(1,3),ERROR1(1,3) (1X,' ',A4,' ',A6,' ',A6,' ',F10.4) *VWRITE,LABEL1(1,4),VALUE1(1,4),VALUE2(1,4),ERROR1(1,4) (1X,' ',A4,' ',A6,' ',A6,' ',F10.4) /COM, /COM, ----------------------------------------------------/OUT,SCRATCH VALUE1(1,1) = '-12.18' VALUE1(1,2) = '-18.78' VALUE1(1,3) = '-23.87' VALUE1(1,4) = '-47.31' VALUE2(1,1) = '-11.91' VALUE2(1,2) = '-18.45' VALUE2(1,3) = '-23.54' VALUE2(1,4) = '-47.70' *VFILL,ERROR1(1,1),DATA,UY_300 *VFILL,ERROR1(1,2),DATA,UY_450 *VFILL,ERROR1(1,3),DATA,UY_600 *VFILL,ERROR1(1,4),DATA,UY_3000 /OUT /COM, ------------- TIP DISPLACEMENT: UY -------------/COM, /COM, | NAFEMS TEST | Mechanical APDL /COM, | LOAD | REF. | NUM.RES. | SOL.190 | /COM, *VWRITE,LABEL1(1,1),VALUE1(1,1),VALUE2(1,1),ERROR1(1,1) (1X,' ',A4,' ',A6,' ',A6,' ',F10.4) *VWRITE,LABEL1(1,2),VALUE1(1,2),VALUE2(1,2),ERROR1(1,2) (1X,' ',A4,' ',A6,' ',A6,' ',F10.4) *VWRITE,LABEL1(1,3),VALUE1(1,3),VALUE2(1,3),ERROR1(1,3) (1X,' ',A4,' ',A6,' ',A6,' ',F10.4) *VWRITE,LABEL1(1,4),VALUE1(1,4),VALUE2(1,4),ERROR1(1,4) (1X,' ',A4,' ',A6,' ',A6,' ',F10.4) /COM, /COM, ----------------------------------------------------/OUT,SCRATCH VALUE1(1,1) = '40.53' VALUE1(1,2) = '48.79' VALUE1(1,3) = '53.71' VALUE1(1,4) = '68.09' VALUE2(1,1) = '40.15' VALUE2(1,2) = '48.48' VALUE2(1,3) = '53.47' VALUE2(1,4) = '68.56' *VFILL,ERROR1(1,1),DATA,UZ_300 *VFILL,ERROR1(1,2),DATA,UZ_450 *VFILL,ERROR1(1,3),DATA,UZ_600 *VFILL,ERROR1(1,4),DATA,UZ_3000 /OUT /COM, ------------- TIP DISPLACEMENT: UZ -------------/COM, /COM, | NAFEMS TEST | Mechanical APDL /COM, | LOAD | REF. | NUM.RES. | SOL.190 | /COM, *VWRITE,LABEL1(1,1),VALUE1(1,1),VALUE2(1,1),ERROR1(1,1) (1X,' ',A4,' ',A5,' ',A5,' ',F10.4) *VWRITE,LABEL1(1,2),VALUE1(1,2),VALUE2(1,2),ERROR1(1,2) (1X,' ',A4,' ',A5,' ',A5,' ',F10.4) *VWRITE,LABEL1(1,3),VALUE1(1,3),VALUE2(1,3),ERROR1(1,3) (1X,' ',A4,' ',A5,' ',A5,' ',F10.4)

2084

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VM-R029-T7 181 Input Listing *VWRITE,LABEL1(1,4),VALUE1(1,4),VALUE2(1,4),ERROR1(1,4) (1X,' ',A4,' ',A5,' ',A5,' ',F10.4) /COM, /COM, ----------------------------------------------------ESEL,,,,ELESOL NSLE ESEL,ALL PRNSOL,S,COMP PRNSOL,EPTO,COMP FINISH /POST1 /COM, !WARNING! /COM, Mechanical APDL RESULTS GIVEN IN DIFFERENT CS THAN /COM, NAFEMS MANUAL, CS RESULTS SHOULD BE TAKEN AS: /COM, X >>> Z /COM, Y >>> X /COM, Z >>> Y SET,LAST *GET,UX1,NODE,52,U,Z *GET,UY1,NODE,52,U,X *GET,UZ1,NODE,52,U,Y *GET,APLOAD,TIME RX=ABS(UX1/24.97) RY=ABS(UY1/47.31) RZ=ABS(UZ1/68.09) *DIM,VALUE,,3,2 *DIM,LABEL2,CHAR,3 *DIM,LABEL3,CHAR,3 *DIM,LABEL,CHAR,3 LABEL2(1) = 'UX','UY','UZ' LABEL(1) = 'vmr029-','vmr029-','vmr029-' LABEL3(1) = 't5-190','t5-190','t5-190' *VFILL,VALUE(1,1),DATA,ABS(UX1),ABS(UY1),ABS(UZ1) *VFILL,VALUE(1,2),DATA,RX,RY,RZ /OUT,vmr029-t5-190,vrt /COM /COM,-------------- VMR029-T5 RESULTS COMPARISON --------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM,SOLSH190 *VWRITE,LABEL2(1),VALUE(1,1),VALUE(1,2),LABEL(1),LABEL3(1) (1X,' ',A2,' ',F12.4,' ',F13.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr029-t5-190,vrt

VM-R029-T7 181 Input Listing

/COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T7-181 /TITLE,VMR029-T7-181,LARGE DISPLACEMENT ELASTIC RESPONSE OF A HINGED SPHERICAL SHELL UNDER UNIFORM PRESSURE LOAD /COM, REF. 'NAFEMS ASSEMBLY BENCHMARK TESTS FOR 3D BEAMS AND SHELLS /COM, TEST 3DNLG-7 /PREP7 L=1570 T=100 P=0.1 ET,1,SHELL181 R,1,100,100,100,100 RMODIF,1,7,30000,30000 MP,EX,1,69 MP,NUXY,1,0.3 K,1, K,6,5*L/8,,0.00020285*((5*L/8)*(3*L/8))


2085

NAFEMS Input Listings K,9,L,,0 LARC, 1, 9, 6 K,15,,3*L/4,0.00020285*((3*L/4)*(L/4)) K,17,,L,0 LARC, 1, 17, 15 ADRAG,1, , , , , ,2 KWPAVE,2 WPRO,,90.000000, ASBW,1 ADELE,2, , ,1 LSLA,S,1 LESIZE,ALL,,,16 AMESH,ALL DL,ALL, ,UX, DL,ALL, ,UY, DL,ALL, ,UZ, SFE,ALL,2,PRES,,P ALLSEL,ALL FINISH /SOLVE NLGEOM,ON NSUBST,200,2000,25 OUTRES,ALL,ALL ARCLEN,ON,, AUTOTS,-1 /OUT,SCRATCH SOLVE FINISH /OUT /POST26 *DIM,X,TABLE,11,1 *DIM,Y,TABLE,11,1 X( 1,1)= 0 Y( 1,1)= 0 X( 2,1)= 30 Y( 2,1)= 0.042 X( 3,1)= 60 Y( 3,1)= 0.06 X( 4,1)= 90 Y( 4,1)= 0.063 X( 5,1)= 120 Y( 5,1)= 0.056 X( 6,1)= 150 Y( 6,1)= 0.048 X( 7,1)= 180 Y( 7,1)= 0.037 X( 8,1)= 210 Y( 8,1)= 0.031 X( 9,1)= 240 Y( 9,1)= 0.03 X( 10,1)= 270 Y( 10,1)= 0.05 X( 11,1)= 300 Y( 11,1)= 0.096 /XRANGE,0,420 /YRANGE,0,0.1 /AXLAB,X,CENTRAL DEFLECTION /AXLAB,Y,APPLIED PRESSURE /GROPT,DIVX,11 /COLOR,CURVE,YGRE *VPLOT,X(1,1),Y(1,1) /NOERASE NSOL,2,177,U,Z,DISP. PROD,3,2, , ,DISP., , ,-1.0,0,0, PROD,7,1, , ,LOAD, , ,0.1,0,0, /COLOR,CURVE,MRED XVAR,3 PLVAR,7 /OUT, PRVAR,1,3,7 FINISH

2086


VM-R029-T7 185 Input Listing /POST1 SET,LAST NSEL,S,NODE,,177 PRNSOL,U,COMP *GET,VAL8,NODE,177,U,Z *SET,UA_8,-1*VAL8 *DIM,LABEL1,CHAR,1,2 LABEL1(1,1) = '0.1012' LABEL1(1,2) = ' ' *DIM,VALUE1,CHAR,1,2 VALUE1(1,1) = '303.1' *DIM,LABEL2,CHAR,1,3 LABEL2(1,1) = '177' *DIM,ERROR1,,1,3 *VFILL,ERROR1(1,1),DATA,UA_8 /OUT, /COM, /COM, ------------CENTRAL DISPLACEMENT ------------/COM, /COM, | NAFEMS | Mechanical APDL | /COM, | LOAD | NUM.RES. | NODE | SHL.181 | /COM, *VWRITE,LABEL1(1,1),VALUE1(1,1),LABEL2(1,1),ERROR1(1,1) (1X,' ',A6,' ',A5,' ',A4,' ',F12.3) /COM, /COM, ---------------------------------------------------------SET,1,15 *GET,PRES1,TIME SET,1,26 *GET,PRES2,TIME V1=PRES1*0.1 V2=PRES2*0.1 R1=V1/0.06495 R2=V2/0.03084 *DIM,VALUE,,2,2 *DIM,LABEL3,CHAR,2 *DIM,LABEL,CHAR,2 *DIM,LABEL4,CHAR,2 *VFILL,VALUE(1,1),DATA,V1,V2 *VFILL,VALUE(1,2),DATA,R1,R2 LABEL3(1) = 'LIMIT1','LIMIT2' LABEL(1) = 'vmr029-','vmr029-' LABEL4(1) = 't7-181','t7-181' /OUT,vmr029-t7-181,vrt /COM /COM,-------------- VMR029-T7 RESULTS COMPARISON --------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM,SHELL181 *VWRITE,LABEL3(1),VALUE(1,1),VALUE(1,2),LABEL(1),LABEL4(1) (1X,A6,' ',F12.5,' ',F13.5,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr029-t7-181,vrt


/COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T7-185 /TITLE,VMR029-T7-185,LARGE DISPLACEMENT ELASTRIC RESPONSE OF A HINGED SPHERICAL SHELL UNDER UNIFORM PRESSURE LOA /COM, REF. NAFEMS ASSEMBLY BENCHMARK TESTS FOR 3D BEAMS AND SHELLS TEST 3DNLG-7 /PREP7 L=1570 T=100


2087

NAFEMS Input Listings P=0.1 ET,1,185 KEYOPT,1,2,2 MP,EX,1,69 MP,NUXY,1,0.3 K,1, K,6,5*L/8,,0.00020285*((5*L/8)*(3*L/8)) K,9,L,,0 LARC, 1, 9, 6 K,15,,3*L/4,0.00020285*((3*L/4)*(L/4)) K,17,,L,0 LARC, 1, 17, 15 ADRAG,1,,,,,,2 VEXT,ALL,,,0,0,T/2,,,, VEXT,1,,,0,0,-T/2,,,, K,111,10000,1570,10000 K,112,10000,1570,-10000 K,113,-10000,1570,-10000 K,114,-10000,1570,10000 A,111,112,113,114 VSBA,1,12,,,KEEP VSBA,2,12 VDELE,1,3 LESIZE,ALL,,,8 LESIZE,10,,,1 LESIZE,11,,,1 LESIZE,12,,,1 LESIZE,13,,,1 LESIZE,18,,,1 LESIZE,19,,,1 LESIZE,20,,,1 LESIZE,21,,,1 VMESH,ALL NUMMRG,ALL, , , ,LOW DL,26, ,ALL, DL,5, ,ALL, DL,2, ,ALL, DL,1, ,ALL, VSEL,S, , ,4 ESLV,S SFE,ALL,6,PRES,,P ALLSEL,ALL ESEL,S,,,1 ESEL,A,,,35 ESEL,A,,,92 CM,ELESOL,ELEM ALLSEL,ALL FINISH /SOLVE NLGEOM,ON NSUBST,200,1000,25 OUTRES,ALL,ALL ARCLEN,ON,, AUTOTS,-1 /OUT,SCRATCH SOLVE FINISH /SHOW,,jpeg /OUT /POST26 *DIM,X,TABLE,11,1 *DIM,Y,TABLE,11,1 X(1,1)= 0 Y(1,1)= 0 X(2,1)= 30 Y(2,1)= 0.042 X(3,1)= 60 Y(3,1)= 0.06 X(4,1)= 90

2088


VM-R029-T7 185 Input Listing Y(4,1)= 0.063 X(5,1)= 120 Y(5,1)= 0.056 X(6,1)= 150 Y(6,1)= 0.048 X(7,1)= 180 Y(7,1)= 0.037 X(8,1)= 210 Y(8,1)= 0.031 X(9,1)= 240 Y(9,1)= 0.03 X(10,1)= 270 Y(10,1)= 0.05 X(11,1)= 300 Y(11,1)= 0.096 /XRANGE,0,420 /YRANGE,0,0.1 /AXLAB,X,CENTRAL DEFLECTION /AXLAB,Y,APPLIED PRESSURE /COLOR,CURVE,YGRE /GCOLUMN,1,REF, *VPLOT,X(1,1),Y(1,1) /NOERASE NSOL,2,138,U,Z,DISP. PROD,3,2,,,DISP.,,,-1.0,0,0, PROD,7,1,,,LOAD,,,0.1,0,0, /COLOR,CURVE,MRED XVAR,3 PLVAR,7 PRVAR,1,,3,7 FINISH /POST1 SET, , ,1, ,1.012, , *GET,VAL8,NODE,138,U,Z *SET,UA_8,-1*VAL8 *GET,VAL9,NODE,219,U,Z *SET,UA_9,-1*VAL9 *GET,VAL7,NODE,57,U,Z *SET,UA_7,-1*VAL7 *DIM,LABEL1,CHAR,1,2 LABEL1(1,1) = '0.1012' LABEL1(1,2) = ' ' *DIM,VALUE1,CHAR,1,2 VALUE1(1,1) = '303.1' VALUE1(1,2) = ' ' *DIM,LABEL2,CHAR,1,3 LABEL2(1,1) = ' TOP ' LABEL2(1,2) = ' MID.' LABEL2(1,3) = 'BOTT.' *DIM,ERROR1,,1,3 *VFILL,ERROR1(1,1),DATA,UA_8 *VFILL,ERROR1(1,2),DATA,UA_7 *VFILL,ERROR1(1,3),DATA,UA_9 /COM,------------------------NOTE------------------------------/COM,GRAPHICAL DIFFERENCES IN RESULTS ARE DUE TO DIFFERENT /COM,ELEMENT FORMULATIONS BETWEEN SHELLS/SOLID AND DUE TO DIFFERENT /COM,GEOMETRY BECAUSE OF THE ASSUMPTIONS MADE IN SHELL ELEMENTS. /OUT, /COM, /COM, ------------CENTRAL DISPLACEMENT ------------/COM, /COM, | NAFEMS | Mechanical APDL /COM, | LOAD | NUM.RES. | LAYER | SOL.185 | /COM, *VWRITE,LABEL1(1,1),VALUE1(1,1),LABEL2(1,1),ERROR1(1,1) (1X,' ',A6,' ',A5,' ',A5,' ',F12.3) *VWRITE,LABEL1(1,2),VALUE1(1,2),LABEL2(1,2),ERROR1(1,2) (1X,' ',A6,' ',A5,' ',A5,' ',F12.3) *VWRITE,LABEL1(1,2),VALUE1(1,2),LABEL2(1,3),ERROR1(1,3) (1X,' ',A6,' ',A5,' ',A5,' ',F12.3)

|


2089

NAFEMS Input Listings /COM, /COM,

----------------------------------------------------------

ESEL,,,,ELESOL NSLE ESEL,ALL PRNSOL,S,COMP PRNSOL,EPTO,COMP SET,1,16 *GET,PRES1,TIME SET,1,25 *GET,PRES2,TIME V1=PRES1*0.1 V2=PRES2*0.1 R1=V1/0.06495 R2=V2/0.03084 *DIM,VALUE,,2,2 *DIM,LABEL3,CHAR,2 *DIM,LABEL,CHAR,2 *DIM,LABEL4,CHAR,2 *VFILL,VALUE(1,1),DATA,V1,V2 *VFILL,VALUE(1,2),DATA,R1,R2 LABEL3(1) = 'LIMIT1','LIMIT2' LABEL(1) = 'vmr029-','vmr029-' LABEL4(1) = 't7-185','t7-185' /OUT,vmr029-t7-185,vrt /COM /COM,-------------- VMR029-T7 RESULTS COMPARISON --------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM,SOLID185 *VWRITE,LABEL3(1),VALUE(1,1),VALUE(1,2),LABEL(1),LABEL4(1) (1X,A6,' ',F12.5,' ',F13.5,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr029-t7-185,vrt

VM-R029-T7 190 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T7-190 /TITLE,VMR029-T7-190,LARGE DISPLACEMENT ELASTRIC RESPONSE OF A HINGED SPHERICAL SHELL UNDER UNIFORM PRESSURE LOADING /COM, REF. NAFEMS ASSEMBLY BENCHMARK TESTS FOR 3D BEAMS AND SHELLS /COM, TEST 3DNLG-7 /PREP7 L=1570 T=100 P=0.1 ET,1,190 MP,EX,1,69 MP,NUXY,1,0.3 K,1, K,6,5*L/8,,0.00020285*((5*L/8)*(3*L/8)) K,9,L,,0 LARC, 1, 9, 6 K,15,,3*L/4,0.00020285*((3*L/4)*(L/4)) K,17,,L,0 LARC, 1, 17, 15 ADRAG,1,,,,,,2 VEXT,ALL,,,0,0,T/2,,,, VEXT,1,,,0,0,-T/2,,,, K,111,10000,1570,10000 K,112,10000,1570,-10000

2090


VM-R029-T7 190 Input Listing K,113,-10000,1570,-10000 K,114,-10000,1570,10000 A,111,112,113,114 VSBA,1,12,,,KEEP VSBA,2,12 VDELE,1,3 LESIZE,ALL,,,8 LESIZE,10,,,1 LESIZE,11,,,1 LESIZE,12,,,1 LESIZE,13,,,1 LESIZE,18,,,1 LESIZE,19,,,1 LESIZE,20,,,1 LESIZE,21,,,1 VMESH,ALL NUMMRG,ALL, , , ,LOW DL,26,,ALL, DL,5,,ALL, DL,2,,ALL, DL,1,,ALL, VSEL,S,,,4 ESLV,S SFE,ALL,6,PRES,,P ALLSEL,ALL ESEL,S,,,1 ESEL,A,,,35 ESEL,A,,,92 CM,ELESOL,ELEM ALLSEL,ALL FINISH /SOLU NLGEOM,ON NSUBST,200,1000,25 OUTRES,ALL,ALL ARCLEN,ON,, AUTOTS,-1 /OUT,SCRATCH SOLVE FINISH /SHOW,,jpeg /OUT /POST26 *DIM,X,TABLE,11,1 *DIM,Y,TABLE,11,1 X(1,1)= 0 Y(1,1)= 0 X(2,1)= 30 Y(2,1)= 0.042 X(3,1)= 60 Y(3,1)= 0.06 X(4,1)= 90 Y(4,1)= 0.063 X(5,1)= 120 Y(5,1)= 0.056 X(6,1)= 150 Y(6,1)= 0.048 X(7,1)= 180 Y(7,1)= 0.037 X(8,1)= 210 Y(8,1)= 0.031 X(9,1)= 240 Y(9,1)= 0.03 X(10,1)= 270 Y(10,1)= 0.05 X(11,1)= 300 Y(11,1)= 0.096 /XRANGE,0,420 /YRANGE,0,0.1 /AXLAB,X,CENTRAL DEFLECTION


2091

NAFEMS Input Listings /AXLAB,Y,APPLIED PRESSURE /COLOR,CURVE,YGRE *VPLOT,X(1,1),Y(1,1) /NOERASE NSOL,2,138,U,Z,DISP. PROD,3,2,,,DISP.,,,-1.0,0,0, PROD,7,1,,,LOAD,,,0.1,0,0, /COLOR,CURVE,MRED XVAR,3 PLVAR,7 PRVAR,1,,3,7 FINISH /POST1 SET, , ,1, ,1.012, , *GET,VAL8,NODE,138,U,Z *SET,UA_8,-1*VAL8 *GET,VAL9,NODE,219,U,Z *SET,UA_9,-1*VAL9 *GET,VAL7,NODE,57,U,Z *SET,UA_7,-1*VAL7 *DIM,LABEL1,CHAR,1,2 LABEL1(1,1) = '0.1012' LABEL1(1,2) = ' ' *DIM,VALUE1,CHAR,1,2 VALUE1(1,1) = '303.1' VALUE1(1,2) = ' ' *DIM,LABEL2,CHAR,1,3 LABEL2(1,1) = ' TOP ' LABEL2(1,2) = ' MID.' LABEL2(1,3) = 'BOTT.' *DIM,ERROR1,,1,3 *VFILL,ERROR1(1,1),DATA,UA_8 *VFILL,ERROR1(1,2),DATA,UA_7 *VFILL,ERROR1(1,3),DATA,UA_9 /OUT, /COM, /COM, ------------CENTRAL DISPLACEMENT ------------/COM, /COM, | NAFEMS | Mechanical APDL /COM, | LOAD | NUM.RES. | LAYER | SOL.190 | /COM, *VWRITE,LABEL1(1,1),VALUE1(1,1),LABEL2(1,1),ERROR1(1,1) (1X,' ',A6,' ',A5,' ',A5,' ',F12.3) *VWRITE,LABEL1(1,2),VALUE1(1,2),LABEL2(1,2),ERROR1(1,2) (1X,' ',A6,' ',A5,' ',A5,' ',F12.3) *VWRITE,LABEL1(1,2),VALUE1(1,2),LABEL2(1,3),ERROR1(1,3) (1X,' ',A6,' ',A5,' ',A5,' ',F12.3) /COM, /COM, ----------------------------------------------------------

|

ESEL,,,,ELESOL NSLE ESEL,ALL PRNSOL,S,COMP PRNSOL,EPTO,COMP SET,1,16 *GET,PRES1,TIME SET,1,25 *GET,PRES2,TIME V1=PRES1*0.1 V2=PRES2*0.1 R1=V1/0.06495 R2=V2/0.03084 *DIM,VALUE,,2,2 *DIM,LABEL3,CHAR,3 *DIM,LABEL,CHAR,3 *DIM,LABEL4,CHAR,3 *VFILL,VALUE(1,1),DATA,V1,V2 *VFILL,VALUE(1,2),DATA,R1,R2

2092


VM-R029-T7 281 Input Listing LABEL3(1) = 'LIMIT1','LIMIT2' LABEL(1) = 'vmr029-','vmr029-' LABEL4(1) = 't7-190','t7-190' /OUT,vmr029-t7-190,vrt /COM /COM,-------------- VMR029-T7 RESULTS COMPARISON --------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM,SOLSH190 *VWRITE,LABEL3(1),VALUE(1,1),VALUE(1,2),LABEL(1),LABEL4(1) (1X,A6,' ',F12.5,' ',F13.5,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr029-t7-190,vrt


/COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T7-281 /TITLE,VMR029-T7-281,LARGE DISPLACEMENT ELASTIC RESPONSE OF A HINGED SPHERICAL SHELL UNDER UNIFORM PRESSURE LOAD /COM, REF. 'NAFEMS ASSEMBLY BENCHMARK TESTS FOR 3D BEAMS AND SHELLS /COM, TEST 3DNLG-7 /PREP7 L=1570 T=100 P=0.1 ET,1,281 R,1,100,100,100,100 RMODIF,1,7,30000,30000 MP,EX,1,69 MP,NUXY,1,0.3 K,1, K,6,5*L/8,,0.00020285*((5*L/8)*(3*L/8)) K,9,L,,0 LARC, 1, 9, 6 K,15,,3*L/4,0.00020285*((3*L/4)*(L/4)) K,17,,L,0 LARC, 1, 17, 15 ADRAG,1, , , , , ,2 KWPAVE,2 WPRO,,90.000000, ASBW,1 ADELE,2, , ,1 LSLA,S,1 LESIZE,ALL,,,16 AMESH,ALL DL,ALL, ,UX, DL,ALL, ,UY, DL,ALL, ,UZ, SFE,ALL,2,PRES,,P ALLSEL,ALL FINISH /SOLVE NLGEOM,ON NSUBST,200,2000,25 OUTRES,ALL,ALL ARCLEN,1,, AUTOTS,-1 /OUT,SCRATCH SOLVE FINISH /OUT /POST26 *DIM,X,TABLE,11,1 *DIM,Y,TABLE,11,1


2093

NAFEMS Input Listings X( 1,1)= 0 Y( 1,1)= 0 X( 2,1)= 30 Y( 2,1)= 0.042 X( 3,1)= 60 Y( 3,1)= 0.06 X( 4,1)= 90 Y( 4,1)= 0.063 X( 5,1)= 120 Y( 5,1)= 0.056 X( 6,1)= 150 Y( 6,1)= 0.048 X( 7,1)= 180 Y( 7,1)= 0.037 X( 8,1)= 210 Y( 8,1)= 0.031 X( 9,1)= 240 Y( 9,1)= 0.03 X( 10,1)= 270 Y( 10,1)= 0.05 X( 11,1)= 300 Y( 11,1)= 0.096 /XRANGE,0,330 /YRANGE,0,0.1 /AXLAB,X,CENTRAL DEFLECTION /AXLAB,Y,APPLIED PRESSURE /GROPT,DIVX,11 /COLOR,CURVE,YGRE *VPLOT,X(1,1),Y(1,1) /NOERASE NSOL,2,481,U,Z,DISP. ! CENTER NODE PROD,3,2, , ,DISP., , ,-1,0,0, PROD,7,1, , ,LOAD, , ,0.1,0,0, /COLOR,CURVE,MRED XVAR,3 PLVAR,7 PRVAR,1,3,7 FINISH /POST1 NSEL,S,NODE,,481 ! CENTER NODE PRNSOL,U,COMP SET,LAST *GET,VAL8,NODE,481,U,Z *SET,UA_8,-1*VAL8 *DIM,LABEL1,CHAR,1,2 LABEL1(1,1) = '0.1012' LABEL1(1,2) = ' ' *DIM,VALUE1,CHAR,1,2 VALUE1(1,1) = '303.1' *DIM,LABEL2,CHAR,1,3 LABEL2(1,1) = '481' *DIM,ERROR1,,1,3 *VFILL,ERROR1(1,1),DATA,UA_8 /OUT, /COM, /COM, ------------CENTRAL DISPLACEMENT ------------/COM, /COM, | NAFEMS | Mechanical APDL /COM, | LOAD | NUM.RES. | NODE | SHL.281 | /COM, *VWRITE,LABEL1(1,1),VALUE1(1,1),LABEL2(1,1),ERROR1(1,1) (1X,' ',A6,' ',A5,' ',A4,' ',F12.3) /COM, /COM, ---------------------------------------------------------SET,LIST SET,1,15 *GET,PRES1,TIME SET,1,26 *GET,PRES2,TIME V1=PRES1*0.1 V2=PRES2*0.1 R1=V1/0.06495

2094

|


VM-R029-T9 181 Input Listing R2=V2/0.03084 *DIM,VALUE,,2,2 *DIM,LABEL3,CHAR,2 *DIM,LABEL,CHAR,2 *DIM,LABEL4,CHAR,2 *VFILL,VALUE(1,1),DATA,V1,V2 *VFILL,VALUE(1,2),DATA,R1,R2 LABEL3(1) = 'LIMIT1','LIMIT2' LABEL(1) = 'vmr029-','vmr029-' LABEL4(1) = 't7-281','t7-281' /OUT,vmr029-t7-281,vrt /COM /COM,-------------- VMR029-T7 RESULTS COMPARISON --------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM,SHELL281 *VWRITE,LABEL3(1),VALUE(1,1),VALUE(1,2),LABEL(1),LABEL4(1) (1X,A6,' ',F12.5,' ',F13.5,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr029-t7-281,vrt

VM-R029-T9 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY, VMR029-T9-181 /TITLE, VMR029-T9-181,LARGE ELASTIC DEFLECTION OF A PINCHED HEMISPHERICAL SHELL /COM, REF. NAFEMS ASSEMBLY BENCHMARK TESTS FOR 3D BEAMS AND SHELLS /COM, TEST 3DNLG-9 /PREP7 RM=10.00 T=0.04 THETA=18 F=100.0 ET,1,181 R,1,0.04,0.04,0.04,0.04 MP,EX,1,6.825E7 MP,NUXY,1,0.3 K,1, K,2,,RM PCIRC,RM,RM+T,0,90-THETA, AROTAT,3, , , , , ,1,2,-90, , LESIZE,ALL,,,8 AMESH,2 NSEL,S,LOC,Z,RM NSEL,R,LOC,X,0 NSEL,R,LOC,Y,0 D,ALL,UY,0.0 CSYS,2 NSEL,S,LOC,X,RM NSEL,R,LOC,Y,0 NSEL,R,LOC,Z,0 F,ALL,FX,F NSEL,S,LOC,X,RM NSEL,R,LOC,Y,0 NSEL,R,LOC,Z,90 F,ALL,FX,-1*F NSEL,S,LOC,Z,0 NSEL,R,LOC,Y,0,90 DSYM,SYMM,Z,2 NSEL,S,LOC,Y,90 NSEL,R,LOC,Z,0,91 DSYM,SYMM,Y,2 NSEL,S,LOC,Y,0 NSEL,R,LOC,Z,90


2095

NAFEMS Input Listings DSYM,SYMM,Z,2 ALLSEL,ALL FINISH /SOLU NLGEOM,ON AUTOTS,ON NSUBST,100,100000,40 OUTRES,ALL,ALL /OUT,SCRATCH SOLVE FINISH /POST26 *DIM,XA,TABLE,11,1 *DIM,YA,TABLE,11,1 XA( 1,1)= 0 YA( 1,1)= 0 XA( 2,1)= 10 YA( 2,1)= 1.0 XA( 3,1)= 20 YA( 3,1)= 1.75 XA( 4,1)= 30 YA( 4,1)= 2.625 XA( 5,1)= 40 YA( 5,1)= 3.23 XA( 6,1)= 50 YA( 6,1)= 3.875 XA( 7,1)= 60 YA( 7,1)= 4.29 XA( 8,1)= 70 YA( 8,1)= 4.815 XA( 9,1)= 80 YA( 9,1)= 5.185 XA( 10,1)= 90 YA( 10,1)= 5.52 XA( 11,1)= 100 YA( 11,1)= 5.875 /XRANGE,0,100 /YRANGE,0,6 /AXLAB,X,LOAD /AXLAB,Y,RADIAL DISPLACEMENT /COLOR,CURVE,YGRE /GCOLUMN,1,REF, *VPLOT,XA(1,1),YA(1,1) /NOERASE /OUT, NSOL,2,2,U,X,UR_A PROD,3,2, , ,' URATA', , ,-1.0,0,0, PROD,7,1, , ,LOAD, , ,100.0,0,0, /COLOR,CURVE,MRED XVAR,7 PLVAR,3 /NOERASE *DIM,XB,TABLE,11,1 *DIM,YB,TABLE,11,1 XB( 1,1)= 0 YB( 1,1)= 0 XB( 2,1)= 10 YB( 2,1)= 0.88 XB( 3,1)= 20 YB( 3,1)= 1.5 XB( 4,1)= 30 YB( 4,1)= 2 XB( 5,1)= 40 YB( 5,1)= 2.30 XB( 6,1)= 50 YB( 6,1)= 2.63 XB( 7,1)= 60 YB( 7,1)= 2.82 XB( 8,1)= 70 YB( 8,1)= 3 XB( 9,1)= 80 YB( 9,1)= 3.16

2096


VM-R029-T9 185 Input Listing XB( 10,1)= 90 YB( 10,1)= 3.30 XB( 11,1)= 100 YB( 11,1)= 3.42 /COLOR,CURVE,YGRE /GCOLUMN,1,REF, *VPLOT,XB(1,1),YB(1,1) /NOERASE NSOL,5,1,U,X,' URATB' /COLOR,CURVE,MRED XVAR,7 PLVAR,5 FINISH /POST1 NSEL,ALL SET,1,42 *GET,UB,NODE,1,U,X *GET,UA,NODE,2,U,Z RA=UA/(-5.9) RB=UB/3.42 *DIM,VALUE3,,2,2 *DIM,LABEL2,CHAR,2 *DIM,LABEL4,CHAR,2 *DIM,LABEL5,CHAR,2 LABEL2(1) = 'NODE A','NODE B', LABEL4(1) = 'vmr029-','vmr029-' LABEL5(1) = 't9-181','t9-181' *VFILL,VALUE3(1,1),DATA,UA,UB *VFILL,VALUE3(1,2),DATA,RA,RB /OUT,vmr029-t9-181,vrt /COM /COM,-------------- VMR029-T9 RESULTS COMPARISON --------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM,SHELL181 *VWRITE,LABEL2(1),VALUE3(1,1),VALUE3(1,2),LABEL4(1),LABEL5(1) (1X,A6,' ',F12.4,' ',F13.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr029-t9-181,vrt

VM-R029-T9 185 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T9-185 /TITLE,VMR029-T9-185,LARGE ELASTIC DEFLECTION OF A PINCHED HEMISPHERICAL SHELL /COM, REF. NAFEMS ASSEMBLY BENCHMARK TESTS FOR 3D BEAMS AND SHELLS /COM, TEST 3DNLG-9 /PREP7 RM=10.02 T=0.04 THETA=18 F=100.0 ET,1,185 KEYOPT,1,2,2 MP,EX,1,6.825E7 MP,NUXY,1,0.3 K,1, K,2,,RM+2*T PCIRC,RM+T/2,RM-T/2,0,90-THETA, VROTAT,ALL,,,,,,1,2,-90,, LESIZE,ALL,,,32 LESIZE,2,,,1 LESIZE,4,,,1


2097

NAFEMS Input Listings LESIZE,6,,,1 LESIZE,8,,,1 VMESH,ALL NSEL,S,LOC,Z,RM+T/2,RM+T NSEL,R,LOC,X,0 NSEL,R,LOC,Y,0 D,ALL,UY,0.0 CSYS,2 NSEL,S,LOC,X,RM+T/2,RM+T NSEL,R,LOC,Y,0 NSEL,R,LOC,Z,0 F,ALL,FX,F NSEL,S,LOC,X,RM+T/2,RM+T NSEL,R,LOC,Y,0 NSEL,R,LOC,Z,90 NROTAT,ALL F,ALL,FX,-1*F NSEL,S,LOC,Z,0 NSEL,R,LOC,Y,0,90 DSYM,SYMM,Z,2 NSEL,S,LOC,Y,90 NSEL,R,LOC,Z,0,91 DSYM,SYMM,Y,2 NSEL,S,LOC,Y,0 NSEL,R,LOC,Z,90 DSYM,SYMM,Z,2 ALLSEL,ALL ESEL,S,,,1 ESEL,A,,,120 ESEL,A,,,1024 CM,ELESOL,ELEM ALLSEL,ALL FINISH /SOLU NLGEOM,ON AUTOTS,ON NSUBST,100,100000,10 OUTRES,ALL,ALL /OUT,SCRATCH SOLVE FINISH /SHOW,,jpeg /POST26 *DIM,XA,TABLE,11,1 *DIM,YA,TABLE,11,1 XA(1,1)= 0 YA(1,1)= 0 XA(2,1)= 10 YA(2,1)= 1.0 XA(3,1)= 20 YA(3,1)= 1.75 XA(4,1)= 30 YA(4,1)= 2.625 XA(5,1)= 40 YA(5,1)= 3.23 XA(6,1)= 50 YA(6,1)= 3.875 XA(7,1)= 60 YA(7,1)= 4.29 XA(8,1)= 70 YA(8,1)= 4.815 XA(9,1)= 80 YA(9,1)= 5.185 XA(10,1)= 90 YA(10,1)= 5.52 XA(11,1)= 100 YA(11,1)= 5.875 /XRANGE,0,100 /YRANGE,0,6 /AXLAB,X,LOAD

2098


VM-R029-T9 185 Input Listing /AXLAB,Y,DISPLACEMENT /COLOR,CURVE,YGRE /GCOLUMN,1,REF, *VPLOT,XA(1,1),YA(1,1) /NOERASE /OUT, NSOL,2,2,U,X,UR_A PROD,3,2, , ,UR AT A, , ,-1.0,0,0, PROD,7,1, , ,LOAD, , ,100.0,0,0, /COLOR,CURVE,MRED XVAR,7 PLVAR,3 /NOERASE *DIM,XB,TABLE,11,1 *DIM,YB,TABLE,11,1 XB(1,1)= 0 YB(1,1)= 0 XB(2,1)= 10 YB(2,1)= 0.88 XB(3,1)= 20 YB(3,1)= 1.5 XB(4,1)= 30 YB(4,1)= 2 XB(5,1)= 40 YB(5,1)= 2.30 XB(6,1)= 50 YB(6,1)= 2.63 XB(7,1)= 60 YB(7,1)= 2.82 XB(8,1)= 70 YB(8,1)= 3 XB(9,1)= 80 YB(9,1)= 3.16 XB(10,1)= 90 YB(10,1)= 3.30 XB(11,1)= 100 YB(11,1)= 3.42 /COLOR,CURVE,YGRE /GCOLUMN,1,REF, *VPLOT,XB(1,1),YB(1,1) /NOERASE NSOL,5,1,U,X,UR AT B /COLOR,CURVE,MRED XVAR,7 PLVAR,5 FINISH /POST1 RSYS,2 SET, , ,1, ,0.4, , *GET,UB_4,NODE,1,U,X *GET,UA_4,NODE,2,U,X SET, , ,1, ,0.6, , *GET,UB_6,NODE,1,U,X *GET,UA_6,NODE,2,U,X SET, , ,1, ,0.9, , *GET,UB_9,NODE,1,U,X *GET,UA_9,NODE,2,U,X SET, , ,1, ,1.0, , *GET,UB_10,NODE,1,U,X *GET,UA_10,NODE,2,U,X *DIM,LABEL1,CHAR,1,4 LABEL1(1,1) = '40' LABEL1(1,2) = '60' LABEL1(1,3) = '90' LABEL1(1,4) = '100' *DIM,VALUE1,CHAR,1,4 VALUE1(1,1) = '-3.28'


2099

NAFEMS Input Listings VALUE1(1,2) = '-4.36' VALUE1(1,3) = '-5.61' VALUE1(1,4) = '-5.9 ' *DIM,VALUE2,CHAR,1,4 VALUE2(1,1) = '-3.23' VALUE2(1,2) = '-4.29' VALUE2(1,3) = '-5.52' VALUE2(1,4) = ' ' *DIM,ERROR1,,1,4 *VFILL,ERROR1(1,1),DATA,UA_4 *VFILL,ERROR1(1,2),DATA,UA_6 *VFILL,ERROR1(1,3),DATA,UA_9 *VFILL,ERROR1(1,4),DATA,UA_10 /COM, N O T E /COM, NUMERICAL RESULTS FROM NAFEMS TEST MAY APPEAR MORE /COM, ACCURATE THAN SOLID185 BECAUSE THOSE ARE SHELL RESULTS. /COM, /COM, -----RADIAL DISPLACEMENT UNDER LOAD (NODE A(2)) -----/COM, /COM, | NAFEMS TEST | Mechanical APDL /COM, | LOAD | REF. | NUM.RES. | SOL.185 | /COM, *VWRITE,LABEL1(1,1),VALUE2(1,1),VALUE1(1,1),ERROR1(1,1) (1X,' ',A3,' ',A5,' ',A5,' ',F12.5) *VWRITE,LABEL1(1,2),VALUE2(1,2),VALUE1(1,2),ERROR1(1,2) (1X,' ',A3,' ',A5,' ',A5,' ',F12.5) *VWRITE,LABEL1(1,3),VALUE2(1,3),VALUE1(1,3),ERROR1(1,3) (1X,' ',A3,' ',A5,' ',A5,' ',F12.5) *VWRITE,LABEL1(1,4),VALUE2(1,4),VALUE1(1,4),ERROR1(1,4) (1X,' ',A3,' ',A5,' ',A5,' ',F12.5) /COM, /COM, ----------------------------------------------------------

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*DIM,LABELB,CHAR,1,4 LABELB(1,1) = '40' LABELB(1,2) = '60' LABELB(1,3) = '90' LABELB(1,4) = '100' *DIM,VALUEB,CHAR,1,4 VALUEB(1,1) = '2.33' VALUEB(1,2) = '2.83' VALUEB(1,3) = '3.31' VALUEB(1,4) = '3.42' *DIM,VALUEB1,CHAR,1,4 VALUEB1(1,1) = '2.30' VALUEB1(1,2) = '2.82' VALUEB1(1,3) = '3.30' VALUEB1(1,4) = ' ' *DIM,ERRORB,,1,4 *VFILL,ERRORB(1,1),DATA,UB_4 *VFILL,ERRORB(1,2),DATA,UB_6 *VFILL,ERRORB(1,3),DATA,UB_9 *VFILL,ERRORB(1,4),DATA,UB_10 /OUT, /COM, /COM, /COM, ------ RADIAL DISPLACEMENT UNDER LOAD (NODE B(1)) -----/COM, /COM, | NAFEMS TEST | Mechanical APDL /COM, | LOAD | REF. | NUM.RES. | SOL.185 | /COM, *VWRITE,LABELB(1,1),VALUEB1(1,1),VALUEB(1,1),ERRORB(1,1) (1X,' ',A3,' ',A4,' ',A4,' ',F12.5) *VWRITE,LABELB(1,2),VALUEB1(1,2),VALUEB(1,2),ERRORB(1,2)

2100

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VM-R029-T9 190 Input Listing (1X,' ',A3,' ',A4,' ',A4,' ',F12.5) *VWRITE,LABELB(1,3),VALUEB1(1,3),VALUEB(1,3),ERRORB(1,3) (1X,' ',A3,' ',A4,' ',A4,' ',F12.5) *VWRITE,LABELB(1,4),VALUEB1(1,4),VALUEB(1,4),ERRORB(1,4) (1X,' ',A3,' ',A4,' ',A4,' ',F12.5) /COM, /COM, ----------------------------------------------------------

ESEL,,,,ELESOL NSLE ESEL,ALL PRNSOL,S,COMP PRNSOL,EPTO,COMP FINISH /POST1 NSEL,ALL SET,LAST *GET,UB,NODE,1,U,X *GET,UA,NODE,2,U,X RA=UA/(-5.9) RB=UB/3.42 *DIM,VALUE3,,2,2 *DIM,LABEL2,CHAR,2 *DIM,LABEL4,CHAR,2 *DIM,LABEL5,CHAR,2 LABEL2(1) = 'NODE A','NODE B', LABEL4(1) = 'vmr029-','vmr029-' LABEL5(1) = 't9-185','t9-185' *VFILL,VALUE3(1,1),DATA,UA,UB *VFILL,VALUE3(1,2),DATA,RA,RB /OUT,vmr029-t9-185,vrt /COM /COM,-------------- VMR029-T9 RESULTS COMPARISON --------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM,SOLID185 *VWRITE,LABEL2(1),VALUE3(1,1),VALUE3(1,2),LABEL4(1),LABEL5(1) (1X,A6,' ',F12.4,' ',F13.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr029-t9-185,vrt

VM-R029-T9 190 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR029-T9-190 /TITLE,VMR029-T9-190,LARGE ELASTIC DEFLECTION OF A PINCHED HEMISPHERICAL SHELL /COM, REF. NAFEMS ASSEMBLY BENCHMARK TESTS FOR 3D BEAMS AND SHELLS TEST 3DNLG-9 /PREP7 RM=10.02 T=0.04 THETA=18 F=100.0 ET,1,190 MP,EX,1,6.825E7 MP,NUXY,1,0.3 K,1, K,2,,RM+2*T PCIRC,RM+T/2,RM-T/2,0,90-THETA, VROTAT,ALL, , , , , ,1,2,-90, , LESIZE,ALL,,,32 LESIZE,2,,,1


2101

NAFEMS Input Listings LESIZE,4,,,1 LESIZE,6,,,1 LESIZE,8,,,1 VEORIENT,1,THIN VMESH,ALL NSEL,S,LOC,Z,RM+T/2,RM+T NSEL,R,LOC,X,0 NSEL,R,LOC,Y,0 D,ALL,UY,0.0 CSYS,2 NSEL,S,LOC,X,RM+T/2,RM+T NSEL,R,LOC,Y,0 NSEL,R,LOC,Z,0 F,ALL,FX,F NSEL,S,LOC,X,RM+T/2,RM+T NSEL,R,LOC,Y,0 NSEL,R,LOC,Z,90 NROTAT,ALL F,ALL,FX,-1*F NSEL,S,LOC,Z,0 NSEL,R,LOC,Y,0,90 DSYM,SYMM,Z,2 NSEL,S,LOC,Y,90 NSEL,R,LOC,Z,0,91 DSYM,SYMM,Y,2 NSEL,S,LOC,Y,0 NSEL,R,LOC,Z,90 DSYM,SYMM,Z,2 ALLSEL,ALL ESEL,S,,,1 ESEL,A,,,120 ESEL,A,,,1024 CM,ELESOL,ELEM ALLSEL,ALL FINISH /SOLU NLGEOM,ON AUTOTS,ON NSUBST,100,100000,40 OUTRES,ALL,ALL /OUT,SCRATCH SOLVE FINISH /SHOW,,jpeg /POST26 *DIM,XA,TABLE,11,1 *DIM,YA,TABLE,11,1 XA( 1,1)= 0 YA( 1,1)= 0 XA( 2,1)= 10 YA( 2,1)= 1.0 XA( 3,1)= 20 YA( 3,1)= 1.75 XA( 4,1)= 30 YA( 4,1)= 2.625 XA( 5,1)= 40 YA( 5,1)= 3.23 XA( 6,1)= 50 YA( 6,1)= 3.875 XA( 7,1)= 60 YA( 7,1)= 4.29 XA( 8,1)= 70 YA( 8,1)= 4.815 XA( 9,1)= 80 YA( 9,1)= 5.185 XA( 10,1)= 90 YA( 10,1)= 5.52 XA( 11,1)= 100 YA( 11,1)= 5.875 /XRANGE,0,100

2102


VM-R029-T9 190 Input Listing /YRANGE,0,6 /AXLAB,X,LOAD /AXLAB,Y,RADIAL DISPLACEMENT /COLOR,CURVE,YGRE /GCOLUMN,1,REF, *VPLOT,XA(1,1),YA(1,1) /NOERASE /OUT, NSOL,2,2,U,X,UR_A PROD,3,2, , ,' URATA', , ,-1.0,0,0, PROD,7,1, , ,LOAD, , ,100.0,0,0, /COLOR,CURVE,MRED XVAR,7 PLVAR,3 /NOERASE *DIM,XB,TABLE,11,1 *DIM,YB,TABLE,11,1 XB( 1,1)= 0 YB( 1,1)= 0 XB( 2,1)= 10 YB( 2,1)= 0.88 XB( 3,1)= 20 YB( 3,1)= 1.5 XB( 4,1)= 30 YB( 4,1)= 2 XB( 5,1)= 40 YB( 5,1)= 2.30 XB( 6,1)= 50 YB( 6,1)= 2.63 XB( 7,1)= 60 YB( 7,1)= 2.82 XB( 8,1)= 70 YB( 8,1)= 3 XB( 9,1)= 80 YB( 9,1)= 3.16 XB( 10,1)= 90 YB( 10,1)= 3.30 XB( 11,1)= 100 YB( 11,1)= 3.42 /COLOR,CURVE,YGRE /GCOLUMN,1,REF, *VPLOT,XB(1,1),YB(1,1) /NOERASE NSOL,5,1,U,X,' URATB' /COLOR,CURVE,MRED XVAR,7 PLVAR,5 FINISH /POST1 RSYS,2 SET, , ,1, ,0.4, , *GET,UB_4,NODE,1,U,X *GET,UA_4,NODE,2,U,X SET, , ,1, ,0.6, , *GET,UB_6,NODE,1,U,X *GET,UA_6,NODE,2,U,X SET, , ,1, ,0.9, , *GET,UB_9,NODE,1,U,X *GET,UA_9,NODE,2,U,X SET, , ,1, ,1.0, , *GET,UB_10,NODE,1,U,X *GET,UA_10,NODE,2,U,X *DIM,LABEL1,CHAR,1,4 LABEL1(1,1) = '40' LABEL1(1,2) = '60' LABEL1(1,3) = '90' LABEL1(1,4) = '100' *DIM,VALUE1,CHAR,1,4 VALUE1(1,1) = '-3.28'


2103

NAFEMS Input Listings VALUE1(1,2) = '-4.36' VALUE1(1,3) = '-5.61' VALUE1(1,4) = '-5.9 ' *DIM,VALUE2,CHAR,1,4 VALUE2(1,1) = '-3.23' VALUE2(1,2) = '-4.29' VALUE2(1,3) = '-5.52' VALUE2(1,4) = ' ' *DIM,ERROR1,,1,4 *VFILL,ERROR1(1,1),DATA,UA_4 *VFILL,ERROR1(1,2),DATA,UA_6 *VFILL,ERROR1(1,3),DATA,UA_9 *VFILL,ERROR1(1,4),DATA,UA_10 /COM, /COM, -----RADIAL DISPLACEMENT UNDER LOAD (NODE A(2)) -----/COM, /COM, | NAFEMS TEST | Mechanical APDL /COM, | LOAD | REF. | NUM.RES. | SOL.190 | /COM, *VWRITE,LABEL1(1,1),VALUE2(1,1),VALUE1(1,1),ERROR1(1,1) (1X,' ',A3,' ',A5,' ',A5,' ',F10.5) *VWRITE,LABEL1(1,2),VALUE2(1,2),VALUE1(1,2),ERROR1(1,2) (1X,' ',A3,' ',A5,' ',A5,' ',F10.5) *VWRITE,LABEL1(1,3),VALUE2(1,3),VALUE1(1,3),ERROR1(1,3) (1X,' ',A3,' ',A5,' ',A5,' ',F10.5) *VWRITE,LABEL1(1,4),VALUE2(1,4),VALUE1(1,4),ERROR1(1,4) (1X,' ',A3,' ',A5,' ',A5,' ',F10.5) /COM, /COM, ----------------------------------------------------------

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*DIM,LABELB,CHAR,1,4 LABELB(1,1) = '40' LABELB(1,2) = '60' LABELB(1,3) = '90' LABELB(1,4) = '100' *DIM,VALUEB,CHAR,1,4 VALUEB(1,1) = '2.33' VALUEB(1,2) = '2.83' VALUEB(1,3) = '3.31' VALUEB(1,4) = '3.42' *DIM,VALUEB1,CHAR,1,4 VALUEB1(1,1) = '2.30' VALUEB1(1,2) = '2.82' VALUEB1(1,3) = '3.30' VALUEB1(1,4) = ' ' *DIM,ERRORB,,1,4 *VFILL,ERRORB(1,1),DATA,UB_4 *VFILL,ERRORB(1,2),DATA,UB_6 *VFILL,ERRORB(1,3),DATA,UB_9 *VFILL,ERRORB(1,4),DATA,UB_10 /OUT, /COM, /COM, ------ RADIAL DISPLACEMENT UNDER LOAD (NODE B(1)) -----/COM, /COM, | NAFEMS TEST | Mechanical APDL /COM, | LOAD | REF. | NUM.RES. | SOL.190 | /COM, *VWRITE,LABELB(1,1),VALUEB1(1,1),VALUEB(1,1),ERRORB(1,1) (1X,' ',A3,' ',A4,' ',A4,' ',F12.5) *VWRITE,LABELB(1,2),VALUEB1(1,2),VALUEB(1,2),ERRORB(1,2) (1X,' ',A3,' ',A4,' ',A4,' ',F12.5) *VWRITE,LABELB(1,3),VALUEB1(1,3),VALUEB(1,3),ERRORB(1,3) (1X,' ',A3,' ',A4,' ',A4,' ',F12.5) *VWRITE,LABELB(1,4),VALUEB1(1,4),VALUEB(1,4),ERRORB(1,4) (1X,' ',A3,' ',A4,' ',A4,' ',F12.5)

2104

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VM-R029-T9 281 Input Listing /COM, /COM,

----------------------------------------------------------

ESEL,,,,ELESOL NSLE ESEL,ALL PRNSOL,S,COMP PRNSOL,EPTO,COMP FINISH /POST1 NSEL,ALL SET,LAST *GET,UB,NODE,1,U,X *GET,UA,NODE,2,U,X RA=UA/(-5.9) RB=UB/3.42 *DIM,VALUE3,,2,2 *DIM,LABEL2,CHAR,2 *DIM,LABEL4,CHAR,2 *DIM,LABEL5,CHAR,2 LABEL2(1) = 'NODE A','NODE B', LABEL4(1) = 'vmr029-','vmr029-' LABEL5(1) = 't9-190','t9-190' *VFILL,VALUE3(1,1),DATA,UA,UB *VFILL,VALUE3(1,2),DATA,RA,RB /OUT,vmr029-t9-190,vrt /COM /COM,-------------- VMR029-T9 RESULTS COMPARISON --------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM,SOLSH190 *VWRITE,LABEL2(1),VALUE3(1,1),VALUE3(1,2),LABEL4(1),LABEL5(1) (1X,A6,' ',F12.4,' ',F13.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr029-t9-190,vrt

VM-R029-T9 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY, VMR029-T9-281 /TITLE, VMR029-T9-281,LARGE ELASTIC DEFLECTION OF A PINCHED HEMISPHERICAL SHELL /COM, REF. NAFEMS ASSEMBLY BENCHMARK TESTS FOR 3D BEAMS AND SHELLS /COM, TEST 3DNLG-9 /PREP7 RM=10.00 T=0.04 THETA=18 F=100.0 ET,1,SHELL281 R,1,0.04,0.04,0.04,0.04 MP,EX,1,6.825E7 MP,NUXY,1,0.3 K,1, K,2,,RM PCIRC,RM,RM+T,0,90-THETA, AROTAT,3, , , , , ,1,2,-90, , LESIZE,ALL,,,8 AMESH,2 NSEL,S,LOC,Z,RM NSEL,R,LOC,X,0 NSEL,R,LOC,Y,0 D,ALL,UY,0.0


2105

NAFEMS Input Listings CSYS,2 NSEL,S,LOC,X,RM NSEL,R,LOC,Y,0 NSEL,R,LOC,Z,0 F,ALL,FX,F NSEL,S,LOC,X,RM NSEL,R,LOC,Y,0 NSEL,R,LOC,Z,90 F,ALL,FX,-1*F NSEL,S,LOC,Z,0 NSEL,R,LOC,Y,0,90 DSYM,SYMM,Z,2 NSEL,S,LOC,Y,90 NSEL,R,LOC,Z,0,91 DSYM,SYMM,Y,2 NSEL,S,LOC,Y,0 NSEL,R,LOC,Z,90 DSYM,SYMM,Z,2 ALLSEL,ALL FINISH /SOLU NLGEOM,ON AUTOTS,ON NSUBST,100,100000,35 OUTRES,ALL,ALL /OUT,SCRATCH SOLVE FINISH /SHOW,,jpeg /POST26 *DIM,XA,TABLE,11,1 *DIM,YA,TABLE,11,1 XA( 1,1)= 0 YA( 1,1)= 0 XA( 2,1)= 10 YA( 2,1)= 1.0 XA( 3,1)= 20 YA( 3,1)= 1.75 XA( 4,1)= 30 YA( 4,1)= 2.625 XA( 5,1)= 40 YA( 5,1)= 3.23 XA( 6,1)= 50 YA( 6,1)= 3.875 XA( 7,1)= 60 YA( 7,1)= 4.29 XA( 8,1)= 70 YA( 8,1)= 4.815 XA( 9,1)= 80 YA( 9,1)= 5.185 XA( 10,1)= 90 YA( 10,1)= 5.52 XA( 11,1)= 100 YA( 11,1)= 5.875 /XRANGE,0,100 /YRANGE,0,6 /AXLAB,X,LOAD /AXLAB,Y,RADIAL DISPLACEMENT /COLOR,CURVE,YGRE /GCOLUMN,1,REF, *VPLOT,XA(1,1),YA(1,1) /NOERASE /OUT, NSOL,2,2,U,X,UR_A PROD,3,2, , ,' URATA', , ,-1.0,0,0, PROD,7,1, , ,LOAD, , ,100.0,0,0, /COLOR,CURVE,MRED XVAR,7 PLVAR,3 /NOERASE

2106


VMR031-T1 281 Input Listing *DIM,XB,TABLE,11,1 *DIM,YB,TABLE,11,1 XB( 1,1)= 0 YB( 1,1)= 0 XB( 2,1)= 10 YB( 2,1)= 0.88 XB( 3,1)= 20 YB( 3,1)= 1.5 XB( 4,1)= 30 YB( 4,1)= 2 XB( 5,1)= 40 YB( 5,1)= 2.30 XB( 6,1)= 50 YB( 6,1)= 2.63 XB( 7,1)= 60 YB( 7,1)= 2.82 XB( 8,1)= 70 YB( 8,1)= 3 XB( 9,1)= 80 YB( 9,1)= 3.16 XB( 10,1)= 90 YB( 10,1)= 3.30 XB( 11,1)= 100 YB( 11,1)= 3.42 /COLOR,CURVE,YGRE /GCOLUMN,1,REF, *VPLOT,XB(1,1),YB(1,1) /NOERASE NSOL,5,1,U,X,' URATB' /COLOR,CURVE,MRED XVAR,7 PLVAR,5 FINISH /POST1 NSEL,ALL SET,LAST *GET,UB,NODE,1,U,X *GET,UA,NODE,2,U,Z RA=UA/(-5.9) RB=UB/3.42 *DIM,VALUE3,,2,2 *DIM,LABEL2,CHAR,2 *DIM,LABEL4,CHAR,2 *DIM,LABEL5,CHAR,2 LABEL2(1) = 'NODE A','NODE B', LABEL4(1) = 'vmr029-','vmr029-' LABEL5(1) = 't9-281','t9-281' *VFILL,VALUE3(1,1),DATA,UA,UB *VFILL,VALUE3(1,2),DATA,RA,RB /OUT,vmr029-t9-281,vrt /COM /COM,-------------- VMR029-T9 RESULTS COMPARISON --------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM,SHELL281 *VWRITE,LABEL2(1),VALUE3(1,1),VALUE3(1,2),LABEL4(1),LABEL5(1) (1X,A6,' ',F10.4,' ',F13.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr029-t9-281,vrt

VMR031-T1 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150


2107

NAFEMS Input Listings /verify,vmr031-t1-281 /TITLE,vmr031-t1-281,LAMINATED STRIP UNDER THREE POINT BENDING /COM, REFERENCE: PROBLEM NO 1 FROM NAFEMS R0031 /COM, /PREP7 C*** USING SHELL281 ET,1,SHELL281 KEYOPT,1,1,0 KEYOPT,1,8,2 !STORES DATA FOR TOP,BOTTOM AND MID FOR ALL LAYERS KEYOPT,1,9,0 MPTEMP,,,,,,,, MPTEMP,1,0 MPDATA,EX,1,,1e5 MPDATA,EY,1,,5e3 MPDATA,EZ,1,,0.00001 MPDATA,PRXY,1,,0.4 MPDATA,PRYZ,1,,0.3 MPDATA,PRXZ,1,,0 MPDATA,GXY,1,,3e3 MPDATA,GYZ,1,,2e3 MPDATA,GXZ,1,,2e3 SECT,1,SHELL,, SECDATA, 0.1,1,0.0,3 SECDATA, 0.1,1,90,3 SECDATA, 0.1,1,0.0,3 SECDATA, 0.4,1,90,3 SECDATA, 0.1,1,0.0,3 SECDATA, 0.1,1,90,3 SECDATA, 0.1,1,0.0,3 SECOFFSET,BOT SECCONTROL,,,, , , , RECTNG,,25,,5,

ET,2,SURF156 KEYOPT,2,2,1 KEYOPT,2,4,0 KEYOPT,2,5,1 KEYOPT,2,7,0

!SURFACE ELEMENTS TO APPLY THE LOAD !WITH MIDSIDE NODE !WITHOUT ORIENTATION NODE

K,,10,,, K,,10,5,, L,5,6 ASBL,1,5 LESIZE,2,,,1 LESIZE,4,,,1 *REP,2,1 LESIZE,6,,,3 *REP,2,1 LESIZE,8,,,2 *REP,2,1 AMESH,2,3 LOCAL,13,0,0,0,0,0,0,0 CSYS,0 TYPE,2 ESYS,13 E,1,8,9 ALLSEL,ALL ESEL,S,TYPE,,2 SFE,ALL,3,PRESS,1,-10 ESEL,ALL EPLOT DL,9,3,SYMM DL,7,2,SYMM DL,2,2,SYMM DL,5,,UZ,0 DL,5,,UX,0 DL,5,,UY,0

2108


VMR031-T2 281 Input Listing FINISH /SOLUTION SOLVE FINISH /POST1 SET,LAST LAYER,1 SHELL,BOT PLNSOL,U,Z *GET,DISP,PLNSOL,0,MIN *STAT,DISP PLNSOL,S,X *GET,BENDING_STRESS,PLNSOL,0,MAX *STAT,BENDING_STRESS *DIM,LABEL,CHAR,2,2 *DIM,VALUE,,2,3 LABEL(1,1) = 'DEFLECTI','BEND STR' LABEL(1,2) = 'ON mm','ESS MPa ' *VFILL,VALUE(1,1),DATA,-1.06,683.9 *VFILL,VALUE(1,2),DATA,DISP,BENDING_STRESS *VFILL,VALUE(1,3),DATA,ABS((DISP)/(-1.06) ) ,ABS((BENDING_STRESS)/683.9 ) /NOPR /COM /OUT,vmr031-t1-281,vrt /COM,------------------- VMr031-t1-281 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM,USING SHELL281 /COM, *VWRITE,LABEL(1,1),LABEL(1,2),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,A8,' ',F10.3,' ',F14.3,' ',1F15.3) /COM, /COM, /COM,----------------------------------------------------------------/OUT FINISH *list,vmr031-t1-281,vrt

VMR031-T2 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vmr031-t2-281 /TITLE,vmr031-t2-281,WRAPPED THICK CYLINDER UNDER PRESSURE AND THERMAL LOADING C*** USING SHELL281 LOADED WITH INTERNAL PRESSURE /COM, REFERENCE: PROBLEM NO 2 FROM NAFEMS: R0031 /COM, /PREP7 ET,1,SHELL281 KEYOPT,1,1,0 KEYOPT,1,8,2 !STORES DATA FOR TOP,BOTTOM AND MID FOR ALL LAYERS KEYOPT,1,9,0 MPTEMP,,,,,,,, MPTEMP,1,0 MPDATA,EX,1,,2.1e5 MPDATA,PRXY,1,,0.3 MPTEMP,,,,,,,, MPTEMP,1,0 MPDATA,EX,2,,5000 MPDATA,EY,2,,1.3e5


2109

NAFEMS Input Listings MPDATA,EZ,2,,5e3 MPDATA,PRXY,2,,0 MPDATA,PRYZ,2,,0.25 MPDATA,PRXZ,2,,0.25 MPDATA,GXY,2,,5e3 MPDATA,GYZ,2,,1e4 MPDATA,GXZ,2,,5e3 SECT,1,SHELL,, SECDATA,2,1,0.0,3 SECDATA,2,2,0.0,3 SECOFFSET,BOT SECCONTROL,,,, , , , CSYS,1 K,1,23 K,2,23,,100 KGEN,2,1,2,1,,90 A,1,2,4,3 ESIZE,,4 AMESH,1 CSYS,0 ENSYM,,,,ALL

! DEFINE MODEL GEOMETRY

DL,3,,SYMM DL,1,,SYMM DL,4,,UZ,0 SFE,ALL,1,PRESS,,200 EPLOT FINISH /SOLUTION SOLVE FINISH /POST1 LAYER,1 SHELL,BOTTOM RSYS,1 *SET,n1,node(23,0,0) *GET,sy1,node,n1,s,y *STAT,sy1 LAYER, 1 SHELL,TOP RSYS,1 *SET,n1,node(23,0,0) *GET,sy2,node,n1,s,y *STAT,sy2 LAYER, 2 SHELL,BOTTOM RSYS,1 *SET,n1,node(23,0,0) *GET,sy3,node,n1,s,y *STAT,sy3 LAYER, 2 SHELL,TOP RSYS,1 *SET,n1,node(23,0,0) *GET,sy4,node,n1,s,y *STAT,sy4 *DIM,LABEL,CHAR,4,5 *DIM,VALUE,,4,3 LABEL(1,1) = 'HOOP STR','HOOP STR','HOOP STR','HOOP STR' LABEL(1,2) = 'ESS INNE','ESS INNE ','ESS OUTE','ESS OUTE' LABEL(1,3) = 'R CYLNDE','R CYLNDE','R CYLNDE','R CYLNDE' LABEL(1,4) = 'R @ R=23','R @ R=25','R @ R=25','R @ R=27'

2110


VMR031-T2 281 Input Listing LABEL(1,5) = ' in MPa',' in MPa',' in MPa',' in MPa' *VFILL,VALUE(1,1),DATA,1565.3,1429.7,874.7,759.1 *VFILL,VALUE(1,2),DATA,SY1,SY2,SY3,SY4 *VFILL,VALUE(1,3),DATA,ABS((SY1)/(1565.3)) ,ABS((SY2)/(1429.7)),ABS((SY3)/(874.7)),ABS((SY4)/(759.1)) SAVE,TABLE_1

FINI /CLEAR,NOSTART

C*** USING SHELL281 LOADED WITH INTERNAL PRESSURE AND UNIFORM TEMPERATURE RAISE /PREP7 ET,1,shell281 KEYOPT,1,1,0 KEYOPT,1,8,2 !STORES DATA FOR TOP,BOTTOM AND MID FOR ALL LAYERS KEYOPT,1,9,0 MPTEMP,,,,,,,, MPTEMP,1,0 MPDATA,ALPX,1,,2e-5 MPDATA,EX,1,,2.1e5 MPDATA,PRXY,1,,0.3 MPTEMP,,,,,,,, MPTEMP,1,0 MPDATA,ALPX,2,, MPDATA,ALPY,2,,3e-6 MPDATA,ALPZ,2,,2e-5 MPDATA,EX,2,,5000 MPDATA,EY,2,,1.3e5 MPDATA,EZ,2,,5e3 MPDATA,PRXY,2,,0 MPDATA,PRYZ,2,,0.25 MPDATA,PRXZ,2,,0.25 MPDATA,GXY,2,,5e3 MPDATA,GYZ,2,,1e4 MPDATA,GXZ,2,,5e3 SECT,1,SHELL,, SECDATA,2,1,0.0,3 SECDATA,2,2,0.0,3 SECOFFSET,BOT SECCONTROL,,,, , , , CSYS,1 K,1,23 K,2,23,,100 KGEN,2,1,2,1,,90 A,1,2,4,3 ESIZE,,4 AMESH,1 CSYS,0 ENSYM,,,,all

! DEFINE MODEL GEOMETRY

DL,3,,SYMM DL,1,,SYMM DL,4,,UZ,0 TUNIF,130, !UNIFORM TEMPERSTURE RAISE SFE,ALL,1,PRESS,,200 EPLOT FINISH /SOLUTION SOLVE FINISH /POST1 LAYER,1 SHELL,BOTTOM RSYS,1


2111

NAFEMS Input Listings *SET,n1,node(23,0,0) *GET,sy1,node,n1,s,y *STAT,sy1 LAYER, 1 SHELL,TOP RSYS,1 *SET,n1,node(23,0,0) *GET,sy2,node,n1,s,y *STAT,sy2 LAYER, 2 SHELL,BOTTOM RSYS,1 *SET,n1,node(23,0,0) *GET,sy3,node,n1,s,y *STAT,sy3 LAYER, 2 SHELL,TOP RSYS,1 *SET,n1,node(23,0,0) *GET,sy4,node,n1,s,y *STAT,sy4 *DIM,LABEL,CHAR,4,5 *DIM,VALUE,,4,3 LABEL(1,1) = 'HOOP STR','HOOP STR','HOOP STR','HOOP STR' LABEL(1,2) = 'ESS INNE','ESS INNE ','ESS OUTE','ESS OUTE' LABEL(1,3) = 'R CYLNDE','R CYLNDE','R CYLNDE','R CYLNDE' LABEL(1,4) = 'R @ R=23','R @ R=25','R @ R=25','R @ R=27' LABEL(1,5) = ' in MPa',' in MPa',' in MPa',' in MPa' *VFILL,VALUE(1,1),DATA,1381.0,1259.6,1056.0,936.1 *VFILL,VALUE(1,2),DATA,SY1,SY2,SY3,SY4 *VFILL,VALUE(1,3),DATA,ABS((SY1)/(1381.0)) ,ABS((SY2)/(1259.6)),ABS((SY3)/(1056.0)),ABS((SY4)/(936.1)) SAVE,TABLE_2

/NOPR /COM /OUT,vmr031-t2-281,vrt /COM,------------------- VMr031-t2-281 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, RESUME,TABLE_1 /COM,USING SHELL281 with internal pressure /COM, *VWRITE,LABEL(1,1),LABEL(1,2),LABEL(1,3),LABEL(1,4),LABEL(1,5),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,A8,A8,A8,A8' ',F10.3,' ',F12.3,' ',1F10.3) /COM, RESUME,TABLE_2 /COM,USING SHELL281 with internal pressure and uniform temperature raise /COM, *VWRITE,LABEL(1,1),LABEL(1,2),LABEL(1,3),LABEL(1,4),LABEL(1,5),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,A8,A8,A8,A8' ',F10.3,' ',F12.3,' ',1F10.3) /COM, /COM,----------------------------------------------------------------/OUT FINISH *list,vmr031-t2-281,vrt

VMR031-T3 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vmr031-t3-181 /TITLE,vmr031-t3-181,THREE-LAYER SANDWICH SHELL UNDER NORMAL PRESSURE LOADING

2112


VMR031-T3 181 Input Listing /COM, REFERENCE: PROBLEM NO 3 FROM NAFEMS: R0031 /COM, C*** USING SHELL181 /PREP7 ET,1,SHELL181 KEYOPT,1,1,0 KEYOPT,1,3,2 KEYOPT,1,8,2 KEYOPT,1,9,0

!FULL INTEGRATION !STORES DATA FOR TOP,BOTTOM AND MID FOR ALL LAYERS

MPTEMP,,,,,,,, MPTEMP,1,0 MPDATA,EX,1,,1e7 MPDATA,EY,1,,4e6 MPDATA,EZ,1,,4e6 MPDATA,PRXY,1,,0.3 MPDATA,PRYZ,1,,0.4 MPDATA,PRXZ,1,,0.3 MPDATA,GXY,1,,1.875e6 MPDATA,GYZ,1,,1.425e6 MPDATA,GXZ,1,,1.875e6 MPTEMP,,,,,,,, MPTEMP,1,0 MPDATA,EX,2,,1e-6 MPDATA,EY,2,,1e-6 MPDATA,EZ,2,,1e-6 MPDATA,PRXY,2,,0.3 MPDATA,PRYZ,2,,0.3 MPDATA,PRXZ,2,,0.3 MPDATA,GXY,2,,1e-6 MPDATA,GYZ,2,,1.2e4 MPDATA,GXZ,2,,3e4 SECT,1,SHELL,, SECDATA, 0.028,1,0.0,3 SECDATA, 0.75,2,0.0,3 SECDATA, 0.028,1,0.0,3 SECOFFSET,MID SECCONTROL,,,, , , , RECTNG,,5,,5, LESIZE,ALL,,,4 AMESH,1 ALLSEL,ALL DL,1,1,ux,0 DL,1,1,uz,0 DL,1,1,roty,0 DL,2,1,ux,0 DL,2,1,roty,0 DL,3,1,uy,0 DL,3,1,rotx,0 DL,4,1,uy,0 DL,4,1,uz,0 DL,4,1,rotx,0 SFE,ALL,2,PRESS,,100 ALLSEL,ALL FINI /SOLUTION SOLVE FINISH /POST1 SET,LAST LAYER,1 SHELL,TOP *SET,n1,node(5,5,0) *GET,uz,node,n1,u,z *STAT,uz *GET,sx,node,n1,s,x


2113

NAFEMS Input Listings *STAT,sx *GET,sy,node,n1,s,y *STAT,sy *SET,n2,node(2.5,2.5,0) *GET,sxy,node,n2,s,xy *STAT,sxy *DIM,LABEL,CHAR,4,5 *DIM,VALUE,,4,3 LABEL(1,1) = 'CENTRAL ','SIGMAxx','SIGMAyy','TAUxy AT' LABEL(1,2) = 'TRANSVER','AT THE C','AT THE C',' QUARTER' LABEL(1,3) = 'SE DISPL','ENTRE OF ','ENTRE OF',' OF TOP ' LABEL(1,4) = 'ACEMENT',' TOP SHE',' TOP SHE','SHEET' LABEL(1,5) = ' in','ET psi','ET psi',' psi' *VFILL,VALUE(1,1),DATA,-0.123,34449,13350,-5067.5 *VFILL,VALUE(1,2),DATA,uz,sx,sy,sxy *VFILL,VALUE(1,3),DATA,ABS((uz)/(-0.123)),ABS((sx)/(34449)),ABS((sy)/(13350)),ABS((sxy)/(-5067.5)) /NOPR /COM /OUT,vmr031-t3-181,vrt /COM,------------------- VMr031-t3-181 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM,USING SHELL181 /COM, *VWRITE,LABEL(1,1),LABEL(1,2),LABEL(1,3),LABEL(1,4),LABEL(1,5),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,A8,A8,A8,A8' ',F10.3,' ',F12.3,' ',1F10.3) /COM, /COM, /OUT FINISH *list,vmr031-t3-181,vrt

VMR031-T3 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vmr031-t3-281 /TITLE,vmr031-t3-281,THREE-LAYER SANDWICH SHELL UNDER NORMAL PRESSURE LOADING /COM, REFERENCE: PROBLEM NO 3 FROM NAFEMS: R0031

C*** USING SHELL281 /PREP7 ET,1,SHELL281 KEYOPT,1,1,0 KEYOPT,1,8,2 !STORES DATA FOR TOP,BOTTOM AND MID FOR ALL LAYERS KEYOPT,1,9,0 MPTEMP,,,,,,,, MPTEMP,1,0 MPDATA,EX,1,,1e7 MPDATA,EY,1,,4e6 MPDATA,EZ,1,,4e6 MPDATA,PRXY,1,,0.3 MPDATA,PRYZ,1,,0.4 MPDATA,PRXZ,1,,0.3 MPDATA,GXY,1,,1.875e6 MPDATA,GYZ,1,,1.425e6 MPDATA,GXZ,1,,1.875e6 MPTEMP,,,,,,,, MPTEMP,1,0 MPDATA,EX,2,,1e-6 MPDATA,EY,2,,1e-6 MPDATA,EZ,2,,1e-6 MPDATA,PRXY,2,,0.3 MPDATA,PRYZ,2,,0.3

2114


VMR031-T3 281 Input Listing MPDATA,PRXZ,2,,0.3 MPDATA,GXY,2,,1e-6 MPDATA,GYZ,2,,1.2e4 MPDATA,GXZ,2,,3e4 SECT,1,SHELL,, SECDATA, 0.028,1,0.0,3 SECDATA, 0.75,2,0.0,3 SECDATA, 0.028,1,0.0,3 SECOFFSET,MID SECCONTROL,,,, , , , RECTNG,,5,,5, LESIZE,ALL,,,4 AMESH,1 ALLSEL,ALL DL,1,1,ux,0 DL,1,1,uz,0 DL,1,1,roty,0 DL,2,1,ux,0 DL,2,1,roty,0 DL,3,1,uy,0 DL,3,1,rotx,0 DL,4,1,uy,0 DL,4,1,uz,0 DL,4,1,rotx,0 SFE,ALL,2,PRESS,,100 ALLSEL,ALL FINI /SOLUTION SOLVE FINISH /POST1 SET,LAST LAYER,1 SHELL,TOP *SET,n1,node(5,5,0) *GET,uz,node,n1,u,z *STAT,uz *GET,sx,node,n1,s,x *STAT,sx *GET,sy,node,n1,s,y *STAT,sy *SET,n2,node(2.5,2.5,0) *GET,sxy,node,n2,s,xy *STAT,sxy *DIM,LABEL,CHAR,4,5 *DIM,VALUE,,4,3 LABEL(1,1) = 'CENTRAL ','SIGMAxx','SIGMAyy','TAUxy AT' LABEL(1,2) = 'TRANSVER','AT THE C','AT THE C',' QUARTER' LABEL(1,3) = 'SE DISPL','ENTRE OF ','ENTRE OF',' OF TOP ' LABEL(1,4) = 'ACEMENT',' TOP SHE',' TOP SHE','SHEET' LABEL(1,5) = ' in','ET psi','ET psi',' psi' *VFILL,VALUE(1,1),DATA,-0.123,34449,13350,-5067.5 *VFILL,VALUE(1,2),DATA,uz,sx,sy,sxy *VFILL,VALUE(1,3),DATA,ABS((uz)/(-0.123)),ABS((sx)/(34449)),ABS((sy)/(13350)),ABS((sxy)/(-5067.5)) /NOPR /COM /OUT,vmr031-t3-281,vrt /COM,------------------- VMr031-t3-281 RESULTS COMPARISON --------------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM,USING SHELL281 /COM, *VWRITE,LABEL(1,1),LABEL(1,2),LABEL(1,3),LABEL(1,4),LABEL(1,5),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,A8,A8,A8,A8' ',F10.3,' ',F12.3,' ',1F10.3) /COM,


2115

NAFEMS Input Listings /OUT FINISH *list,vmr031-t3-281,vrt

VMR038-2A 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr038-2a-182 /TITLE,vmr038-2a-182,J INTEGRAL VALUE FOR CENTERED CRACK PLATE WITH BISO MATERIAL /COM, REFERENCE:" E.M.REMZI, NAFEMS, TWO DIMENSIONAL TEST CASES IN POST YIELD /COM, FRACTURE MECHANICS, REF: R0038 /COM, CHAPTER 2.1 FROM REFERENCE ARTICLE /COM, /OUT,SCRATCH /PREP7 A=25 ! CRACK LENGTH B=100 ! WIDTH OF THE PLATE H=200 ! HEIGHT OF THE PLATE ET,1,PLANE182 KEYOPT,1,3,2

! PLANE STRAIN

MP,EX,1,205000 MP,NUXY,1,0.3 TB,BISO,1,, TBDATA,1,1000,2450

! YIELD STRESS = 1000, TANGENT MODULUS = 2450

K,1,0,0,0 K,2,25,0,0 K,3,100,0,0 K,4,100,25,0 K,5,100,200,0 K,6,0,200,0 K,7,0,25,0 A,1,2,3,4,7 A,7,4,5,6 ESIZE,4.0 KSCON,2,2.5,1,8 AMESH,1 ESIZE,B/10 AMESH,2 ALLSEL,ALL

! WITH SINGULAR CRACK TIP ELEMENTS

NSEL,S,LOC,Y,0 NSEL,R,LOC,X,25,100 D,ALL,UY,0 ! SYMMETRIC BOUNDARY CONDITION ALLSEL,ALL NSEL,S,LOC,X,0 D,ALL,UX,0 ! SYMMETRIC BOUNDARY CONDITION ALLSEL,ALL FINI /SOLU ANTYPE,STATIC OUTRES,CINT,ALL CNVTOL,F,1,0.01 ! FORCE CONVERGENCE TOLERANCE CNVTOL,U,1,0.01 ! DISPLACEMENT CONVERGENCE TOLERANCE NLGEOM,ON ! NON-LINEAR ANALYSIS NSUBS,30,1000,30 TIME,1.0 NSEL,S,LOC,Y,200 D,ALL,UY,2 ! DISPLACEMENT CONTROL NSEL,ALL NSEL,S,LOC,Y,0

2116


VMR038-2A 183 Input Listing NSEL,R,LOC,X,25,25 CM,CRACK1,NODE ! CRACK TIP NODE COMPONENT ALLSEL,ALL CINT,NEW,1 CINT,NAME,CRACK1 CINT,NCON,6 ! NUMBER OF COUNTOURS CINT,SYMM,OFF ! SYMMETRY TURNED OFF CINT,NORM,0,2 ALLSEL,ALL SOLVE FINI /POST1 SET,LAST PRCINT,1 *GET,J1,CINT,1,CTIP,2,,1,, *GET,J2,CINT,1,CTIP,2,,2,, *GET,J3,CINT,1,CTIP,2,,3,, *GET,J4,CINT,1,CTIP,2,,4,, *GET,J5,CINT,1,CTIP,2,,5,, *GET,J6,CINT,1,CTIP,2,,6,, JC1 = (ABS(J1)+ABS(J2)+ABS(J3)+ABS(J4)+ABS(J5)+ABS(J6))/6 *STAT,JC1 *DIM,LABEL,CHAR,1 *DIM,VALUE,,1,3 LABEL(1,1) = 'JVALUE' *VFILL,VALUE(1,1),DATA,1462 *VFILL,VALUE(1,2),DATA,JC1 *VFILL,VALUE(1,3),DATA,ABS(JC1/1462) /OUT,vmr038-2a-182,vrt /COM, /COM,------------------- vmr038-2a-182 RESULTS COMPARISON -------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F15.4,' ',F12.3) /COM,-----------------------------------------------------------------------/OUT, FINISH *LIST,vmr038-2a-182,vrt

VMR038-2A 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr038-2a-183 /TITLE,vmr038-2a-183,J INTEGRAL VALUE FOR CENTERED CRACK PLATE WITH BISO MATERIAL /COM, REFERENCE:" E.M.REMZI, NAFEMS, TWO DIMENSIONAL TEST CASES IN POST YIELD /COM, FRACTURE MECHANICS, REF: R0038 /COM, CHAPTER 2.1 FROM REFERENCE ARTICLE /COM, /OUT,SCRATCH /PREP7 A=25 ! CRACK LENGTH B=100 ! WIDTH OF THE PLATE H=200 ! HEIGHT OF THE PLATE ET,1,PLANE183 KEYOPT,1,3,2

! PLANE STRAIN

MP,EX,1,205000 MP,NUXY,1,0.3 TB,BISO,1,, TBDATA,1,1000,2450

! YIELD STRESS = 1000, TANGENT MODULUS = 2450

K,1,0,0,0


2117

NAFEMS Input Listings K,2,25,0,0 K,3,100,0,0 K,4,100,25,0 K,5,100,200,0 K,6,0,200,0 K,7,0,25,0 A,1,2,3,4,7 A,7,4,5,6 ESIZE,4.0 KSCON,2,2.5,1,8 AMESH,1 ESIZE,B/10 AMESH,2 ALLSEL,ALL

! WITH SINGULAR CRACK TIP ELEMENTS

NSEL,S,LOC,Y,0 NSEL,R,LOC,X,25,100 D,ALL,UY,0 ! SYMMETRIC BOUNDARY CONDITION ALLSEL,ALL NSEL,S,LOC,X,0 D,ALL,UX,0 ! SYMMETRIC BOUNDARY CONDITION ALLSEL,ALL FINI /SOLU ANTYPE,STATIC OUTRES,CINT,ALL CNVTOL,F,1,0.01 ! FORCE CONVERGENCE TOLERANCE CNVTOL,U,1,0.01 ! DISPLACEMENT CONVERGENCE TOLERANCE NLGEOM,ON ! NON-LINEAR ANALYSIS NSUBS,30,1000,30 TIME,1.0 NSEL,S,LOC,Y,200 D,ALL,UY,2 ! DISPLACEMENT CONTROL NSEL,ALL NSEL,S,LOC,Y,0 NSEL,R,LOC,X,25,25 CM,CRACK1,NODE ! CRACK TIP NODE COMPONENT ALLSEL,ALL CINT,NEW,1 CINT,NAME,CRACK1 CINT,NCON,6 ! NUMBER OF COUNTOURS CINT,SYMM,OFF ! SYMMETRY TURNED OFF CINT,NORM,0,2 ALLSEL,ALL SOLVE FINI /POST1 SET,LAST PRCINT,1 *GET,J1,CINT,1,CTIP,2,,1,, *GET,J2,CINT,1,CTIP,2,,2,, *GET,J3,CINT,1,CTIP,2,,3,, *GET,J4,CINT,1,CTIP,2,,4,, *GET,J5,CINT,1,CTIP,2,,5,, *GET,J6,CINT,1,CTIP,2,,6,, JC1 = (ABS(J1)+ABS(J2)+ABS(J3)+ABS(J4)+ABS(J5)+ABS(J6))/6 *STAT,JC1 *DIM,LABEL,CHAR,1 *DIM,VALUE,,1,3 LABEL(1,1) = 'JVALUE' *VFILL,VALUE(1,1),DATA,1462 *VFILL,VALUE(1,2),DATA,JC1 *VFILL,VALUE(1,3),DATA,ABS(JC1/1462) /OUT,vmr038-2a-183,vrt /COM, /COM,------------------- vmr038-2a-183 RESULTS COMPARISON -------------/COM,

2118


VMR038-2B 182 Input Listing /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F12.4,' ',F14.3) /COM,-----------------------------------------------------------------------/OUT, FINISH *LIST,vmr038-2a-183,vrt

VMR038-2B 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr038-2b-182 /TITLE,vmr038-2b-182,J INTEGRAL FOR CENTERED CRACK PLATE WITH ELASTIC-PERFECTLY PLASTIC MATERIAL /COM PLAIN STRAIN DISPLACEMENT CONTROL /COM, REFERENCE : E.M.REMZI, NAFEMS, TWO DIMENSIONAL TEST CASES IN POST YIELD FRACTURE /COM, MECHANICS, REF: R00038 /COM, CHAPTER 2.2 FROM REFERENCE ARTICLE /OUT,SCRATCH /PREP7 A=25 ! CRACK LENGTH B=100 ! WIDTH OF THE PLATE H=200 ! HEIGHT OF THE PLATE ET,1,182 ! PLANE 182 ELEMENT KEYOPT,1,3,2 ! PLANE STRAIN MP,EX,1,205000 MP,NUXY,1,0.3 TB,BISO,1,, TBDATA,1,1000,0 K,1,0,0,0 K,2,25,0,0 K,3,100,0,0 K,4,100,25,0 K,5,100,200,0 K,6,0,200,0 K,7,0,25,0 A,1,2,3,4,7 A,7,4,5,6 ESIZE,4 KSCON,2,2.5,1,8,, AMESH,1 ESIZE,B/10 AMESH,2 ALLSEL,ALL

! SINGULAR CRACK TIP ELEMENTS

NSEL,S,LOC,Y,0 NSEL,R,LOC,X,25,100 D,ALL,UY,0 ! SYMMETRY BOUNDARY CONDITION ALLSEL,ALL NSEL,S,LOC,X,0 D,ALL,UX,0 ! SYMMETRY BOUNDARY CONDITION ALLSEL,ALL FINI /SOLU ANTYPE,STATIC OUTRES,CINT,ALL CNVTOL,F,1,0.01 CNVTOL,U,1,0.01 NLGEOM,ON NSUBS,30,1000,30 TIME,1


2119


NSEL,S,LOC,Y,200 D,ALL,UY,2 NSEL,ALL NSEL,S,LOC,Y,0 NSEL,R,LOC,X,25,25 CM,CRACK1,NODE ! CRACK TIP NODE COMPONENT ALLSEL,ALL CINT,NEW,1 CINT,NAME,CRACK1 CINT,NCON,6 ! NUMBER OF COUNTOURS AROUND CRACK TIP CINT,SYMM,OFF ! SYMMETRY TURNED OFF CINT,NORM,0,2 ALLSEL,ALL SOLVE FINI /POST1 SET,LAST PRCINT,1 *GET,J1,CINT,1,CTIP,2,,1,, *GET,J2,CINT,1,CTIP,2,,2,, *GET,J3,CINT,1,CTIP,2,,3,, *GET,J4,CINT,1,CTIP,2,,4,, *GET,J5,CINT,1,CTIP,2,,5,, *GET,J6,CINT,1,CTIP,2,,6,, JC1 = (ABS(J1)+ABS(J2)+ABS(J3)+ABS(J4)+ABS(J5)+ABS(J6))/6 *STAT,JC1 *DIM,LABEL,CHAR,1 *DIM,VALUE,,1,3 LABEL(1,1) = 'J-VALUE' *VFILL,VALUE(1,1),DATA,1468 *VFILL,VALUE(1,2),DATA,JC1 *VFILL,VALUE(1,3),DATA,ABS(JC1/1468) /OUT,vmr038-2b-182,vrt /COM, -----------------vmr038-2b-182 RESULTS COMPARISON ----------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, PLAIN STRAIN WITH DISPLACEMENT CONTROL /COM, -------------------------------------/COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM, /COM, /COM,-----------------------------------------------------------------------/OUT, FINISH *LIST,vmr038-2b-182,vrt

VMR038-2B 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr038-2b-183 /TITLE,vmr038-2b-183,J INTEGRAL FOR CENTERED CRACK PLATE WITH ELASTIC-PERFECTLY PLASTIC MATERIAL /COM PLAIN STRAIN LOAD CONTROL /COM, REFERENCE : E.M.REMZI, NAFEMS, TWO DIMENSIONAL TEST CASES IN POST YIELD FRACTURE /COM, MECHANICS, REF: R00038 /COM, CHAPTER 2.2 FROM REFERENCE ARTICLE /COM, /OUT,SCRATCH /PREP7 A=25 ! CRACK LENGTH B=100 ! WIDTH OF THE PLATE H=200 ! HEIGHT OF THE PLATE

2120


VMR038-2B 183 Input Listing ET,1,183 ! PLANE 183 ELEMENT KEYOPT,1,3,2 ! PLANE STRAIN MP,EX,1,205000 MP,NUXY,1,0.3 TB,BISO,1,, TBDATA,1,1000,0 K,1,0,0,0 K,2,25,0,0 K,3,100,0,0 K,4,100,25,0 K,5,100,200,0 K,6,0,200,0 K,7,0,25,0 A,1,2,3,4,7 A,7,4,5,6 ESIZE,1.5 KSCON,2,2.5,1,8,, AMESH,1 ESIZE,B/10 AMESH,2 ALLSEL,ALL


NSEL,S,LOC,Y,0 NSEL,R,LOC,X,25,100 D,ALL,UY,0 ! SYMMETRY BOUNDARY CONDITION ALLSEL,ALL NSEL,S,LOC,X,0 D,ALL,UX,0 ! SYMMETRY BOUNDARY CONDITION ALLSEL,ALL FINI /SOLU ANTYPE,STATIC OUTRES,CINT,ALL CNVTOL,F,1,0.01 CNVTOL,U,1,0.01 NLGEOM,ON NSUBS,30,1000,30 TIME,1 NSEL,S,LOC,Y,200 SF,ALL,PRES,-850 NSEL,ALL

! LOAD CONTROL

NSEL,S,LOC,Y,0 NSEL,R,LOC,X,25,25 CM,CRACK1,NODE ! CRACK TIP NODE COMPONENT ALLSEL,ALL CINT,NEW,1 CINT,NAME,CRACK1 CINT,NCON,6 ! NUMBER OF COUNTOURS AROUND CRACK TIP CINT,SYMM,OFF ! SYMMETRY TURNED OFF CINT,NORM,0,2 ALLSEL,ALL SOLVE FINI /POST1 SET,LAST PRCINT,1 *GET,J1,CINT,1,CTIP,2,,1,, *GET,J2,CINT,1,CTIP,2,,2,, *GET,J3,CINT,1,CTIP,2,,3,, JC1 = (ABS(J1)+ABS(J2)+ABS(J3))/3 *STAT,JC1 *DIM,LABEL,CHAR,1


2121

NAFEMS Input Listings *DIM,VALUE,,1,3 LABEL(1,1) = 'J-VALUE' *VFILL,VALUE(1,1),DATA,198 *VFILL,VALUE(1,2),DATA,JC1 *VFILL,VALUE(1,3),DATA,ABS(JC1/198) /OUT,vmr038-2b-183,vrt /COM, -----------------vmr038-2b-183 RESULTS COMPARISON ----------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, PLAIN STRAIN WITH LOAD CONTROL /COM, -------------------------------/COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM, /COM, /COM,-----------------------------------------------------------------------/OUT, FINISH *LIST,vmr038-2b-183,vrt

VMR038-2E 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr038-2e-182 /TITLE,vmr038-2e-182,J INTEGRAL FOR CENTERED CRACK PLATE WITH ELASTIC-PERFECTLY PLASTIC MATERIAL /COM PLAIN STRESS DISPLACEMENT CONTROL /COM, REFERENCE : E.M.REMZI, NAFEMS, TWO DIMENSIONAL TEST CASES IN POST YIELD FRACTURE /COM, MECHANICS, REF: R00038 /COM, CHAPTER 2.5 FROM REFERENCE ARTICLE /COM, /OUT,SCRATCH /PREP7 A=25 ! CRACK LENGTH B=100 ! WIDTH OF THE PLATE H=200 ! HEIGHT OF THE PLATE ET,1,182 ! PLANE 182 ELEMENT KEYOPT,1,3,0 ! PLANE STRESS MP,EX,1,205000 MP,NUXY,1,0.3 TB,BISO,1,, TBDATA,1,1000,0 K,1,0,0,0 K,2,25,0,0 K,3,100,0,0 K,4,100,25,0 K,5,100,200,0 K,6,0,200,0 K,7,0,25,0 A,1,2,3,4,7 A,7,4,5,6 ESIZE,2 KSCON,2,2.5,1,8,, AMESH,1 ESIZE,B/10 AMESH,2 ALLSEL,ALL


NSEL,S,LOC,Y,0 NSEL,R,LOC,X,25,100 D,ALL,UY,0 ! SYMMETRY BOUNDARY CONDITION ALLSEL,ALL

2122


VMR038-2g 182 Input Listing NSEL,S,LOC,X,0 D,ALL,UX,0 ! SYMMETRY BOUNDARY CONDITION ALLSEL,ALL FINI /SOLU ANTYPE,STATIC OUTRES,CINT,ALL CNVTOL,F,1,0.01 CNVTOL,U,1,0.01 NLGEOM,ON NSUBS,1000,100000,100 NEQIT,100 TIME,1 NSEL,S,LOC,Y,200 D,ALL,UY,2.0 ! DISPLACEMENT CONTROL NSEL,ALL NSEL,S,LOC,Y,0 NSEL,R,LOC,X,25,25 CM,CRACK1,NODE ! CRACK TIP NODE COMPONENT ALLSEL,ALL CINT,NEW,1 CINT,NAME,CRACK1 CINT,NCON,4 ! NUMBER OF COUNTOURS AROUND CRACK TIP CINT,SYMM,OFF ! SYMMETRY TURNED OFF CINT,NORM,0,2 ALLSEL,ALL SOLVE FINI /POST1 SET,LAST PRCINT,1 *GET,J1,CINT,1,CTIP,2,,1,, *GET,J2,CINT,1,CTIP,2,,2,, *GET,J3,CINT,1,CTIP,2,,3,, *GET,J4,CINT,1,CTIP,2,,4,, JC1 = (ABS(J1)+ABS(J2)+ABS(J3)+ABS(J4))/4 *STAT,JC1 *DIM,LABEL,CHAR,1 *DIM,VALUE,,1,3 LABEL(1,1) = 'J-VALUE' *VFILL,VALUE(1,1),DATA,1189 *VFILL,VALUE(1,2),DATA,JC1 *VFILL,VALUE(1,3),DATA,ABS(JC1/1189) /OUT,vmr038-2e-182,vrt /COM, -----------------vmr038-2e-182 RESULTS COMPARISON ----------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, PLAIN STRAIN WITH LOAD CONTROL /COM, -------------------------------/COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM, /COM, /COM,-----------------------------------------------------------------------/OUT, FINISH *LIST,vmr038-2e-182,vrt

VMR038-2g 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150


2123

NAFEMS Input Listings /VERIFY,vmr038-2g-182 /TITLE,vmr038-2g-182,CENTERED CRACK PLATE UNDER THERMAL LOADING WITH ELASTIC-PERFECTLY PLASTIC MATERIAL /COM, REFERENCE : E.M.REMZI, NAFEMS, TWO DIMENSIONAL TEST CASES IN POST YIELD FRACTURE /COM, MECHANICS, REF: R00038 /COM, CHAPTER 2.7 FROM REFERENCE ARTICLE /COM, /PREP7 A=25 ! CRACK LENGTH B=100 ! WIDTH OF THE PLATE H=200 ! HEIGHT OF THE PLATE AF=1E-4 ! COEFFICIENT OF THERMAL EXPANISON ET,1,PLANE182 ! PLANE 182 ELEMENT KEYOPT,1,1,1 KEYOPT,1,3,2 ! PLANE STRAIN MP,EX,1,205000 MP,NUXY,1,0.3 MP,ALPX,1,AF MP,REFT,1,0 TB,BISO,1,, TBDATA,1,1000,0

! THERMAL MATERIAL PROPERTIES ! REFERENCE TEMPERATURE

K,1,0,0,0 K,2,25,0,0 K,3,100,0,0 K,4,100,25,0 K,5,100,200,0 K,6,0,200,0 K,7,0,25,0 A,1,2,3,4,7 A,7,4,5,6 ESIZE,2.5 KSCON,2,2.5,1,8,, AMESH,1 ESIZE,8 AMESH,2 ALLSEL,ALL


NSEL,S,LOC,X,25,100 NSEL,R,LOC,Y,0 D,ALL,UY,0 ALLSEL NSEL,S,LOC,X,0 D,ALL,UX,0 ALLSEL FINI /SOLU ANTYPE,STATIC OUTRES,CINT,ALL CNVTOL,F,1,0.01 CNVTOL,U,1,0.01 NLGEOM,ON NSUBS,20,1000,10 TIME,1 *GET,NN,NODE,0,COUNT *DO,I,1,NN TT=0.01*NX(I)*NX(I) BF,I,TEMP,TT *ENDDO ALLSEL

! THERMAL LOADING

NSEL,S,LOC,Y,0 NSEL,R,LOC,X,25,25 CM,CRACK1,NODE ! CRACK TIP NODE COMPONENT ALLSEL,ALL

2124


VMR038-3A 182 Input Listing CINT,NEW,1 CINT,NAME,CRACK1 CINT,NCON,4 ! NUMBER OF COUNTOURS AROUND CRACK TIP CINT,SYMM,OFF ! SYMMETRY TURNED OFF CINT,NORM,0,2 ALLSEL,ALL SOLVE FINI /OUT,SCRATCH /POST1 SET,LAST PRCINT,1 *GET,J1,CINT,1,CTIP,2,,1,, *GET,J2,CINT,1,CTIP,2,,2,, *GET,J3,CINT,1,CTIP,2,,3,, *GET,J4,CINT,1,CTIP,2,,4,, JC1 = (ABS(J2)+ABS(J3)+ABS(J4))/3 *STAT,JC1 *DIM,LABEL,CHAR,1 *DIM,VALUE,,1,3 LABEL(1,1) = 'J-VALUE' *VFILL,VALUE(1,1),DATA,105.8 *VFILL,VALUE(1,2),DATA,JC1 *VFILL,VALUE(1,3),DATA,ABS(JC1/105.8) /OUT,vmr038-2g-182,vrt /COM, -----------------vmr038-2g-182 RESULTS COMPARISON ----------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, PLAIN STRAIN WITH LOAD CONTROL /COM, -------------------------------/COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM, /COM, /COM,-----------------------------------------------------------------------/OUT, FINISH *LIST,vmr038-2g-182,vrt

VMR038-3A 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr038-3a-182 /TITLE,vmr038-3a-182,J INTEGRAL FOR COMPACT TENSION SPECIMEN WITH BISO MATERIAL /COM, REFERENCE: E.M.REMZI,NAFEMS,TWO DIMENSIONAL TEST CASES IN POST YIELD /COM, FRACTURE MECHANICS,R00038 /COM, CHAPTER 3.1 FROM REFERENCE ARTICLE /COM, /OUT,SCRATCH /PREP7 A = 29.78 ! CRACK LENGTH L = 50 ! LENGTH OF THE PLATE W = 30 ! WIDTH OF THE PLATE B = 20.112 ET,1,PLANE182 KEYOPT,1,3,2

! PLANE 182 ELEMENT ! PLANE STRAIN

MP,EX,1,205000 MP,NUXY,1,0.3 TB,BISO,1 TBDATA,1,550,3044 K,1,0,0,0


2125

NAFEMS Input Listings K,2,29.78,0,0 K,3,50,0,0 K,4,50,15,0 K,5,50,30,0 K,6,0,30,0 K,7,0,20.112,0 K,8,0,15,0 A,1,2,3,4,5,6,7,8 KSCON,2,0.75,1,5,, ESIZE,4 AMESH,1 ALLSEL,ALL NSEL,S,LOC,X,29.78,50 NSEL,R,LOC,Y,0 D,ALL,UY,0 NSEL,ALL NSEL,S,LOC,X,50 NSEL,R,LOC,Y,0 D,ALL,UX,0 ALLSEL,ALL KSEL,S,,,7 NSLK,S D,ALL,UY,1.05 NSEL,ALL FINI /SOLU ANTYPE,STATIC OUTRES,CINT,ALL CNVTOL,F,1,0.001 CNVTOL,U,1,0.001 NLGEOM,ON NSUBS,10,1000,10 TIME,1.0 NSEL,S,LOC,X,29.78,29.78 NSEL,R,LOC,Y,0 CM,CRACK1,NODE ALLSEL,ALL

CINT,NEW,1 CINT,NAME,CRACK1 CINT,NCON,4 CINT,SYMM,OFF CINT,NORM,0,2 ALLSEL,ALL SOLVE FINI /POST1 SET,LAST N1=NODE(0,20.112,0) *GET,RFORCE,NODE,N1,RF,FY ALLSEL,ALL /COM, /COM, TOTAL REACTION FORCE AT POINT P IS 64970 N (FROM REFERENCE) /COM, REACTION FORCE AT POINT P IS TOTAL LOAD/THICKNESS = 64970/25.2 = 2578 N /COM, PRCINT,1 *GET,J1,CINT,1,CTIP,2,,1,, *GET,J2,CINT,1,CTIP,2,,2,, *GET,J3,CINT,1,CTIP,2,,3,, *GET,J4,CINT,1,CTIP,2,,4,, JC1 = (ABS(J1)+ABS(J2)+ABS(J3)+ABS(J4))/4 *STAT,JC1 *DIM,LABEL,CHAR,1,2

2126


VMR038-3A 183 Input Listing *DIM,VALUE,,2,3 LABEL(1,1) = 'J1' LABEL(1,2) = 'RF@P' *VFILL,VALUE(1,1),DATA,230.8 *VFILL,VALUE(1,2),DATA,JC1 *VFILL,VALUE(1,3),DATA,ABS(JC1/230.8) *VFILL,VALUE(2,1),DATA,2578 *VFILL,VALUE(2,2),DATA,RFORCE *VFILL,VALUE(2,3),DATA,RFORCE/2578 /OUT,vmr038-3a-182,vrt /COM,------------------- vmr038-3a-182 RESULTS COMPARISON -------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, /COM, AVERAGE J INTEGRAL VALUE /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM, /COM, REACTION FORCE AT POINT P /COM, *VWRITE,LABEL(1,2),VALUE(2,1),VALUE(2,2),VALUE(2,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM,---------------------------------------------------------------------/OUT, FINISH *LIST,vmr038-3a-182,vrt

VMR038-3A 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr038-3a-183 /TITLE,vmr038-3a-183,J INTEGRAL FOR COMPACT TENSION SPECIMEN WITH BISO MATERIAL /COM, REFERENCE: E.M.REMZI,NAFEMS,TWO DIMENSIONAL TEST CASES IN POST YIELD /COM, FRACTURE MECHANICS,R00038 /COM, CHAPTER 3.1 FROM REFERENCE ARTICLE /COM, /OUT,SCRATCH /PREP7 A = 29.78 ! CRACK LENGTH L = 50 ! LENGTH OF THE PLATE W = 30 ! WIDTH OF THE PLATE B = 20.112 ET,1,PLANE183 KEYOPT,1,3,2

! PLANE 183 ELEMENT ! PLANE STRAIN

MP,EX,1,205000 MP,NUXY,1,0.3 TB,BISO,1 TBDATA,1,550,3044 K,1,0,0,0 K,2,29.78,0,0 K,3,50,0,0 K,4,50,15,0 K,5,50,30,0 K,6,0,30,0 K,7,0,20.112,0 K,8,0,15,0 A,1,2,3,4,5,6,7,8 KSCON,2,0.75,1,5,, ESIZE,4 AMESH,1


2127

NAFEMS Input Listings ALLSEL,ALL NSEL,S,LOC,X,29.78,50 NSEL,R,LOC,Y,0 D,ALL,UY,0 NSEL,ALL NSEL,S,LOC,X,50 NSEL,R,LOC,Y,0 D,ALL,UX,0 ALLSEL,ALL KSEL,S,,,7 NSLK,S D,ALL,UY,1.05 NSEL,ALL FINI /SOLU ANTYPE,STATIC OUTRES,CINT,ALL CNVTOL,F,1,0.001 CNVTOL,U,1,0.001 NLGEOM,ON NSUBS,10,1000,10 TIME,1.0 NSEL,S,LOC,X,29.78,29.78 NSEL,R,LOC,Y,0 CM,CRACK1,NODE ALLSEL,ALL

CINT,NEW,1 CINT,NAME,CRACK1 CINT,NCON,4 CINT,SYMM,OFF CINT,NORM,0,2 ALLSEL,ALL SOLVE FINI /POST1 SET,LAST N1=NODE(0,20.112,0) *GET,RFORCE,NODE,N1,RF,FY ALLSEL,ALL /COM, /COM, TOTAL REACTION FORCE AT POINT P IS 64970 N (FROM REFERENCE) /COM, REACTION FORCE AT POINT P IS TOTAL LOAD/THICKNESS = 64970/25.2 = 2578 N /COM, PRCINT,1 *GET,J1,CINT,1,CTIP,2,,1,, *GET,J2,CINT,1,CTIP,2,,2,, *GET,J3,CINT,1,CTIP,2,,3,, *GET,J4,CINT,1,CTIP,2,,4,, JC1 = (ABS(J1)+ABS(J2)+ABS(J3)+ABS(J4))/4 *STAT,JC1 *DIM,LABEL,CHAR,1,2 *DIM,VALUE,,2,3 LABEL(1,1) = 'J1' LABEL(1,2) = 'RF@P' *VFILL,VALUE(1,1),DATA,230.8 *VFILL,VALUE(1,2),DATA,JC1 *VFILL,VALUE(1,3),DATA,ABS(JC1/230.8) *VFILL,VALUE(2,1),DATA,2578 *VFILL,VALUE(2,2),DATA,RFORCE *VFILL,VALUE(2,3),DATA,RFORCE/2578 /OUT,vmr038-3a-183,vrt /COM,------------------- vmr038-3a-183 RESULTS COMPARISON -------------/COM, /COM, | TARGET | Mechanical APDL | RATIO

2128


VMR038-4A 182 Input Listing /COM, /COM, /COM, AVERAGE J INTEGRAL VALUE /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM, /COM, REACTION FORCE AT POINT P /COM, *VWRITE,LABEL(1,2),VALUE(2,1),VALUE(2,2),VALUE(2,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM,---------------------------------------------------------------------/OUT, FINISH *LIST,vmr038-3a-183,vrt

VMR038-4A 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr038-4a-182 /TITLE,vmr038-4a-182,J INTEGRAL FOR 3 PT BEND SPECIMEN WITH POWER LAW HARDENING MATERIAL /COM, REFERENCE: E.M.REMZI, NAFEMS, TWO DIMENSIONAL TEST CASES IN POST YIELD FRACTURE /COM, MECHANICS, REF: R00038 /COM, CHAPTER 4.1 FROM REFERENCE ARTICLE /COM, /OUT,SCRATCH /PREP7 ET,1,PLANE182 KEYOPT,1,1,1 ! UNIFROM REDUCED INTEGRATION FORMULATION KEYOPT,1,3,2 ! PLANE STRAIN A = 12.7 W = 25.4 L = 50.8

! CRACK LENGTH ! WIDTH OF THE PLATE ! LENGTH OF THE PLATE

K,1,0,0,0 K,2,12.7,0,0 K,3,25.4,0,0 K,4,25.4,15,0 K,5,25.4,50.8,0 K,6,0,50.8,0 K,7,0,15,0 K,8,10,50.8,0 K,9,10,40.8,0 K,10,0,40.8,0 A,1,2,3,4,7 A,7,4,5,8,9,10 A,10,9,8,6

MP,EX,1,214800 MP,NUXY,1,0.3 TB,NLISO,1,,,POWER TBDATA,1,275,0.1 KSCON,2,0.75,1,8,, ESIZE,1.25 AMESH,1 ESIZE,6 AMESH,2 ALLSEL,ALL ESIZE,5 ! REFINING THE MESH NEAR LOADING AREA AMESH,3 ALLSEL,ALL


2129


NUMMRG,NODE NUMMRG,KP ALLSEL,ALL NSEL,S,LOC,X,12.7,25.4 NSEL,R,LOC,Y,0 D,ALL,UY,0 NSEL,ALL NSEL,S,LOC,X,25.4,25.4 NSEL,R,LOC,Y,0 D,ALL,UX,0 NSEL,ALL NSEL,S,LOC,X,0 NSEL,R,LOC,Y,50.8 D,ALL,UX,2 ! APPLIED DISPLACEMENTS NSEL,ALL ALLSEL,ALL FINI /SOLU ANTYPE,STATIC OUTRES,CINT,ALL NLGEOM,ON NSUBS,10,1000,10 CNVTOL,F,1,0.001 ! FORCE CONVERGENCE CNVTOL,U,1,0.001 ! DISPLACEMENT CONVERGENCE TIME,1 NSEL,S,LOC,X,12.7,12.7 NSEL,R,LOC,Y,0 CM,CRACK1,NODE ALLSEL,ALL CINT,NEW,1 CINT,CTNC,CRACK1 CINT,NCON,10 CINT,SYMM,ON CINT,NORM,0,2 ALLSEL,ALL SOLVE FINI /POST1 SET,LAST PRCINT,1 *GET,J1,CINT,1,CTIP,2,,1,, *GET,J2,CINT,1,CTIP,2,,2,, *GET,J3,CINT,1,CTIP,2,,3,, *GET,J4,CINT,1,CTIP,2,,4,, *GET,J5,CINT,1,CTIP,2,,5,, *GET,J6,CINT,1,CTIP,2,,6,, *GET,J7,CINT,1,CTIP,2,,7,, *GET,J8,CINT,1,CTIP,2,,8,, *GET,J9,CINT,1,CTIP,2,,9,, *GET,J10,CINT,1,CTIP,2,,10,, JC1 = (ABS(J1)+ABS(J2)+ABS(J3)+ABS(J4)+ABS(J5)+ABS(J6)+ABS(J7)+ABS(J8)+ABS(J9)+ABS(J10))/10 *STAT,JC1 *DIM,LABEL,CHAR,1 *DIM,VALUE,,1,3 LABEL(1,1) = 'J1 ' *VFILL,VALUE(1,1),DATA,203.8 *VFILL,VALUE(1,2),DATA,JC1 *VFILL,VALUE(1,3),DATA,ABS(JC1/203.8) /OUT,vmr038-4a-182,vrt /COM, /COM, --------------------vmr038-4a-182 RESULTS COMPARISON-----------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3)

2130


VMR038-4A 183 Input Listing (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM,--------------------------------------------------------------------/OUT, FINISH *LIST,vmr038-4a-182,vrt

VMR038-4A 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr038-4a-183 /TITLE,vmr038-4a-183,J INTEGRAL FOR 3 PT BEND SPECIMEN WITH POWER LAW HARDENING MATERIAL /COM, REFERENCE: E.M.REMZI, NAFEMS, TWO DIMENSIONAL TEST CASES IN POST YIELD FRACTURE /COM, MECHANICS, REF: R00038 /COM, CHAPTER 4.1 FROM REFERENCE ARTICLE /COM, /OUT,SCRATCH /PREP7 ET,1,PLANE183 KEYOPT,1,3,2 ! PLANE STRAIN A = 12.7 W = 25.4 L = 50.8

! CRACK LENGTH ! WIDTH OF THE PLATE ! LENGTH OF THE PLATE

K,1,0,0,0 K,2,12.7,0,0 K,3,25.4,0,0 K,4,25.4,15,0 K,5,25.4,50.8,0 K,6,0,50.8,0 K,7,0,15,0 K,8,10,50.8,0 K,9,10,40.8,0 K,10,0,40.8,0 A,1,2,3,4,7 A,7,4,5,8,9,10 A,10,9,8,6

MP,EX,1,214800 MP,NUXY,1,0.3 TB,NLISO,1,,,POWER TBDATA,1,275,0.1 KSCON,2,0.75,1,8,, ESIZE,1.25 AMESH,1 ESIZE,6 AMESH,2 ALLSEL,ALL ESIZE,5 ! REFINING THE MESH NEAR LOADING AREA AMESH,3 ALLSEL,ALL NUMMRG,NODE NUMMRG,KP ALLSEL,ALL NSEL,S,LOC,X,12.7,25.4 NSEL,R,LOC,Y,0 D,ALL,UY,0 NSEL,ALL NSEL,S,LOC,X,25.4,25.4


2131

NAFEMS Input Listings NSEL,R,LOC,Y,0 D,ALL,UX,0 NSEL,ALL NSEL,S,LOC,X,0 NSEL,R,LOC,Y,50.8 D,ALL,UX,2 ! APPLIED DISPLACEMENTS NSEL,ALL ALLSEL,ALL FINI /SOLU ANTYPE,STATIC OUTRES,CINT,ALL NLGEOM,ON NSUBS,10,1000,10 CNVTOL,F,1,0.001 ! FORCE CONVERGENCE CNVTOL,U,1,0.001 ! DISPLACEMENT CONVERGENCE TIME,1 NSEL,S,LOC,X,12.7,12.7 NSEL,R,LOC,Y,0 CM,CRACK1,NODE ALLSEL,ALL CINT,NEW,1 CINT,CTNC,CRACK1 CINT,NCON,10 CINT,SYMM,ON CINT,NORM,0,2 ALLSEL,ALL SOLVE FINI

/POST1 SET,LAST PRCINT,1 *GET,J1,CINT,1,CTIP,2,,1,, *GET,J2,CINT,1,CTIP,2,,2,, *GET,J3,CINT,1,CTIP,2,,3,, *GET,J4,CINT,1,CTIP,2,,4,, *GET,J5,CINT,1,CTIP,2,,5,, *GET,J6,CINT,1,CTIP,2,,6,, *GET,J7,CINT,1,CTIP,2,,7,, *GET,J8,CINT,1,CTIP,2,,8,, *GET,J9,CINT,1,CTIP,2,,9,, *GET,J10,CINT,1,CTIP,2,,10,, JC1 = (ABS(J1)+ABS(J2)+ABS(J3)+ABS(J4)+ABS(J5)+ABS(J6)+ABS(J7)+ABS(J8)+ABS(J9)+ABS(J10))/10 *STAT,JC1 *DIM,LABEL,CHAR,1 *DIM,VALUE,,1,3 LABEL(1,1) = 'J-VALUE ' *VFILL,VALUE(1,1),DATA,203.8 *VFILL,VALUE(1,2),DATA,JC1 *VFILL,VALUE(1,3),DATA,ABS(JC1/203.8) /OUT,vmr038-4a-183,vrt /COM, /COM, --------------------vmr038-4a-183 RESULTS COMPARISON-----------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM,--------------------------------------------------------------------/OUT, FINISH *LIST,vmr038-4a-183,vrt

2132


VMLSB2-LE8 208 Input Listing

VMLSB2-LE8 208 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmlsb2-le8-208 /TITLE,vmlsb2-le8-208,AXISYMMETRIC SHELL WITH PRESSURE LOADING /COM, REFERENCE: NAFEMS BENCHMARKS,REPORT:LSB2,1990-06-15/2 /COM, ORIGINIAL TEST NUMBER: LE8 /PREP7 ET,1,SHELL208 ! SHELL 208 ELEMENT KEYOPT,1,3,2 ! INCLUDE EXTRA INTERNAL NODES SECTYPE,1,SHELL SECDATA,0.01,1,0,3 MP,EX,1,210E9 MP,NUXY,1,0.3 K,1,0,0.5,0 K,2,0.25,0.5,0 K,3,0.25,0,0 K,4,0.1875,0.5,0 K,5,0.1875,0.5625,0 K,6,0.1508,0.5505,0 K,7,0,0.5+0.25,0 LARC,1,6,7,0.25 LARC,6,5,4,0.0625 LARC,5,2,4,0.0625 L,2,3 KDELE,7 KDELE,4 LESIZE,1,,,16 LESIZE,2,,,8 LESIZE,3,,,10 LESIZE,4,,,8 LMESH,ALL ALLSEL,ALL NSEL,S,LOC,X,0.25 NSEL,R,LOC,Y,0 D,ALL,UY,0 NSEL,ALL NSEL,S,LOC,X,0 NSEL,R,LOC,Y,0.5 D,ALL,UX,0 D,ALL,ROTZ,0 ALLSEL,ALL SFE,ALL,2,PRES,0,1E6 ALLSEL,ALL FINI

! UNIFORM INTERNAL PRESSURE

/SOLU ANTYPE,STATIC NSUBS,10,10,10 OUTRES,ALL,ALL TIME,1 SOLVE FINI /POST1 SET,LAST *GET,SZ_HOOP,NODE,2,S,Z ! HOOP STRESS FROM Mechanical APDL IN PA *DIM,LABEL,CHAR,1 *DIM,VALUE,,1,3 LABEL(1,1) = 'HOOP_STRESS'


2133

NAFEMS Input Listings *VFILL,VALUE(1,1),DATA,94.55 *VFILL,VALUE(1,2),DATA,(SZ_HOOP/1000000) *VFILL,VALUE(1,3),DATA,((SZ_HOOP/1000000)/(94.55)) /OUT,vmlsb2-le8-208,vrt /COM,------------------- vmlsb2-le8-208 RESULTS COMPARISON -------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM,-----------------------------------------------------------------------/OUT, FINISH *LIST,vmlsb2-le8-208,vrt

VMLSB2-LE8 209 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmlsb2-le8-209 /TITLE,vmlsb2-le8-209,AXISYMMETRIC SHELL WITH PRESSURE LOADING /COM, REFERENCE: NAFEMS BENCHMARKS,REPORT: LSB2,1990-06-15/2 /COM, ORIGINIAL TEST NUMBER: LE8 /PREP7 ET,1,SHELL209 ! SHELL 209 ELEMENT SECTYPE,1,SHELL SECDATA,0.01,1,0,3 MP,EX,1,210E9 MP,NUXY,1,0.3 K,1,0,0.5,0 K,2,0.25,0.5,0 K,3,0.25,0,0 K,4,0.1875,0.5,0 K,5,0.1875,0.5625,0 K,6,0.1508,0.5505,0 K,7,0,0.5+0.25,0 LARC,1,6,7,0.25 LARC,6,5,4,0.0625 LARC,5,2,4,0.0625 L,2,3 KDELE,7 KDELE,4 LESIZE,1,,,16 LESIZE,2,,,8 LESIZE,3,,,10 LESIZE,4,,,8 LMESH,ALL ALLSEL,ALL NSEL,S,LOC,X,0.25 NSEL,R,LOC,Y,0 D,ALL,UY,0 NSEL,ALL NSEL,S,LOC,X,0 NSEL,R,LOC,Y,0.5 D,ALL,UX,0 D,ALL,ROTZ,0 ALLSEL,ALL SFE,ALL,2,PRES,0,1E6 ALLSEL,ALL

2134

! UNIFORM INTERNAL PRESSURE


VMLSB2-LE9 208 Input Listing FINI /SOLU ANTYPE,STATIC NSUBS,10,10,10 OUTRES,ALL,ALL TIME,1 SOLVE FINI /POST1 SET,LAST *GET,SZ_HOOP,NODE,2,S,Z ! HOOP STRESS FROM Mechanical APDL IN PA *DIM,LABEL,CHAR,1 *DIM,VALUE,,1,3 LABEL(1,1) = 'HOOP_STRESS' *VFILL,VALUE(1,1),DATA,94.55 *VFILL,VALUE(1,2),DATA,(SZ_HOOP/1000000) *VFILL,VALUE(1,3),DATA,((SZ_HOOP/1000000)/(94.55)) /OUT,vmlsb2-le8-209,vrt /COM,------------------- vmlsb2-le8-209 RESULTS COMPARISON -------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM,-----------------------------------------------------------------------/OUT, FINISH *LIST,vmlsb2-le8-209,vrt

VMLSB2-LE9 208 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmlsb2-le9-208 /TITLE,vmlsb2-le9-208,AXISYMMETRIC BRANCHED SHELL WITH PRESSURE LOADING /COM, REFERENCE: NAFEMS BENCHMARKS,REPORT: LSB2,1989-01-01/1 /COM, ORIGINAL TEST NUMBER: LE9 /PREP7 ET,1,SHELL208 KEYOPT,1,3,2 ! INCLUDE EXTRA INTERNAL NODE KEYOPT,1,8,2 ! STORE DATA FOR ALL LAYERS SECTYPE,1,SHELL SECDATA,0.01,1,0 MP,EX,1,210E9 MP,NUXY,1,0.3 K,1,0.70710,0,0 K,2,0.70710,0.875,0 K,3,0.70710,1,0 K,4,0.70710,1.125,0 K,5,0.70710,2,0 K,6,0,0.70710,0 K,7,0.60874,0.91374,0 K,8,0,1.70710,0 L,5,4 L,4,3 LARC,3,7,8,1 LARC,7,6,8,1 L,3,2 L,2,1 KDELE,8 LESIZE,1,,,8 LESIZE,2,,,8 LESIZE,3,,,8


2135

NAFEMS Input Listings LESIZE,4,,,10 LESIZE,5,,,8 LESIZE,6,,,8 LMESH,ALL ALLSEL,ALL NSEL,S,LOC,X,0.70710 NSEL,R,LOC,Y,0 D,ALL,ALL,0 ALLSEL,ALL LSEL,S,LINE,,3,4,1 LSEL,A,LINE,,1,2,1 NSLL,S,1 ESLN,S SFE,ALL,2,PRES,0,1E6 ALLSEL,ALL FINI /SOLU ANTYPE,STATIC OUTRES,ALL,ALL NSUBS,10,10,10 TIME,1 SOLVE FINI /POST1 SET,LAST /GRAPHICS,POWER /SHOW,vmfebsta-le9-208 ESEL,S,ELEM,,16 PLESOL,S,Y *GET,SYY_MIN,PLNSOL,0,MIN ESEL,ALL *DIM,LABEL,CHAR,1 *DIM,VALUE,,1,3 LABEL(1,1) = 'AXIAL-STRESS' *VFILL,VALUE(1,1),DATA,-319.9 *VFILL,VALUE(1,2),DATA,(SYY_MIN/1000000) *VFILL,VALUE(1,3),DATA,((SYY_MIN/1000000)/(-319.9)) /OUT,vmlsb2-le9-208,vrt /COM,-------------------vmlsb2-le9-208 RESULTS COMPARISON -------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM,---------------------------------------------------------------------/OUT, FINISH *LIST,vmlsb2-le9-208,vrt

VMLSB2-LE9 209 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmlsb2-le9-209 /TITLE,vmlsb2-le9-209,AXISYMMETRIC BRANCHED SHELL WITH PRESSURE LOADING /COM, REFERENCE: NAFEMS BENCHMARK,REPORT: LSB2,1989-01-01/1 /COM, ORIGINAL TEST NUMBER: LE9 /PREP7 ET,1,SHELL209 KEYOPT,1,8,2 SECTYPE,1,SHELL SECDATA,0.01,1,0 MP,EX,1,210E9 MP,NUXY,1,0.3

2136


VMLSB2-LE9 209 Input Listing K,1,0.70710,0,0 K,2,0.70710,0.875,0 K,3,0.70710,1,0 K,4,0.70710,1.125,0 K,5,0.70710,2,0 K,6,0,0.70710,0 K,7,0.60874,0.91374,0 K,8,0,1.70710,0 L,5,4 L,4,3 LARC,3,7,8,1 LARC,7,6,8,1 L,3,2 L,2,1 KDELE,8 LESIZE,1,,,8 LESIZE,2,,,8 LESIZE,3,,,8 LESIZE,4,,,10 LESIZE,5,,,8 LESIZE,6,,,8 LMESH,ALL ALLSEL,ALL NSEL,S,LOC,X,0.70710 NSEL,R,LOC,Y,0 D,ALL,ALL,0 ALLSEL,ALL LSEL,S,LINE,,3,4,1 LSEL,A,LINE,,1,2,1 NSLL,S,1 ESLN,S SFE,ALL,2,PRES,0,1E6 ALLSEL,ALL FINI /SOLU ANTYPE,STATIC OUTRES,ALL,ALL NSUBS,10,10,10 TIME,1 SOLVE FINI /POST1 SET,LAST /GRAPHICS,POWER /SHOW,vmfebsta-le9-209 ESEL,S,ELEM,,16 PLESOL,S,Y *GET,SYY_MIN,PLNSOL,0,MIN ESEL,ALL *DIM,LABEL,CHAR,1 *DIM,VALUE,,1,3 LABEL(1,1) = 'AXIAL-STRESS' *VFILL,VALUE(1,1),DATA,-319.9 *VFILL,VALUE(1,2),DATA,(SYY_MIN/1000000) *VFILL,VALUE(1,3),DATA,((SYY_MIN/1000000)/(-319.9)) /OUT,vmlsb2-le9-209,vrt /COM,-------------------vmlsb2-le9-209 RESULTS COMPARISON -------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM,---------------------------------------------------------------------/OUT,


2137

NAFEMS Input Listings FINISH *LIST,vmlsb2-le9-209,vrt

VMLSB2-LE11 185 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmlsb2-le11-185 /TITLE,vmlsb2-le11-185,TAPERED CYLINDER WITH TEMPERATURE LOADING /COM, REFERENCE: NAFEMS BENCHMARKS,REPORT:LSB2,1990-06-15/2 /COM, ORIGINIAL TEST NUMBER: LE11 /OUT,SCRATCH /PREP7 ET,1,SOLID185 ! SOLID 185 ELEMENT KEYOPT,1,2,2 ! ENCHANCED STRAIN FORMULATION MP,EX,1,210E9 MP,NUXY,1,0.3 MP,ALPX,1,2.3E-4 MP,ALPZ,1,2.3E-4 MP,ALPY,1,2.3E-4 K,1,1.39,0,0 K,2,1.21,0,-0.707 K,3,0,0,0 K,4,1,0,0 K,5,1,0,-1.39 K,6,1,0,-1.79 K,7,0.70710,0,-1.79 K,8,0.70710,0,-0.70710 LARC,4,8,3,1 LARC,1,2,3,1.4 L,4,1 L,2,5 L,5,6 L,6,7 L,7,8 AL,1,3,2,4,5,6,7 K,10,0,0,-5E3 VROTATE,1,,,,,,3,10,90,1 KDELE,3 KDELE,10 LESIZE,1,,,8 LESIZE,3,,,4 LESIZE,2,,,6 LESIZE,7,,,6 LESIZE,4,,,4 LESIZE,5,,,2 LESIZE,6,,,2 VSWEEP,1,1,9 ALLSEL,ALL ASEL,S,AREA,,1 NSLA,S,1 D,ALL,UY,0 ALLSEL,ALL ASEL,S,AREA,,9 NSLA,S,1 D,ALL,UX,0 ALLSEL,ALL

2138


VMLSB2-LE11 186 Input Listing ASEL,S,AREA,,4,8,4 NSLA,S,1 D,ALL,UZ,0 ALLSEL,ALL *GET,NNODE,NODE,0,COUNT ! GET THE NUMBER OF NODES *DO,I,1,NNODE,1 ! DO OPERATION FROM 1 TO MAXIMUM NODE NUMBER *GET,NXX,NODE,I,LOC,X ! GET THE X LOCATION OF NODE *GET,NYY,NODE,I,LOC,Y ! GET THE Y LOCATION OF NODE *GET,NZZ,NODE,I,LOC,Z ! GET THE Z LOCATION OF NODE TN1 = SQRT((NXX**2)+(NYY**2)) TN = TN1-NZZ ! NEGATIVE SIGN SINCE THE GEOMETRY IS MODELED IN NEGATIVE Z AXIS BF,I,TEMP,TN *ENDDO ALLSEL,ALL FINI /SOLU ANTYPE,STATIC OUTRES,ALL,ALL NSUBS,10,10,10 TIME,1 SOLVE FINI /POST1 SET,LAST N1 = NODE(1,0,0) *GET,SZZ,NODE,N1,S,Z *DIM,LABEL,CHAR,1 *DIM,VALUE,,1,3 LABEL(1,1) = 'DIRECT_STRESS' *VFILL,VALUE(1,1),DATA,-105 *VFILL,VALUE(1,2),DATA,(SZZ/1000000) *VFILL,VALUE(1,3),DATA,((SZZ/1000000)/(-105)) /OUT,vmlsb2-le11-185,vrt /COM,------------------- vmlsb2-le11-185 RESULTS COMPARISON -------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM,------------------------------------------------------------------------/OUT, FINISH *LIST,vmlsb2-le11-185,vrt

VMLSB2-LE11 186 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmlsb2-le11-186 /TITLE,vmlsb2-le11-186,TAPERED CYLINDER WITH TEMPERATURE LOADING /COM, REFERENCE:NAFEMS BENCHMARK,REPORT:LSB2,1990-06-15/2 /COM, ORIGINIAL TEST NUMBER: LE11 /OUT,SCRATCH /PREP7 ET,1,SOLID186 ! SOLID 186 ELEMENT KEYOPT,1,2,1 MP,EX,1,210E9 MP,NUXY,1,0.3 MP,ALPX,1,2.3E-4 MP,ALPZ,1,2.3E-4 MP,ALPY,1,2.3E-4 K,1,1.39,0,0 K,2,1.21,0,-0.707


2139

NAFEMS Input Listings K,3,0,0,0 K,4,1,0,0 K,5,1,0,-1.39 K,6,1,0,-1.79 K,7,0.70710,0,-1.79 K,8,0.70710,0,-0.70710 LARC,4,8,3,1 LARC,1,2,3,1.4 L,4,1 L,2,5 L,5,6 L,6,7 L,7,8 AL,1,3,2,4,5,6,7 K,10,0,0,-5E3 VROTATE,1,,,,,,3,10,90,1 KDELE,3 KDELE,10 LESIZE,1,,,8 LESIZE,3,,,4 LESIZE,2,,,6 LESIZE,7,,,6 LESIZE,4,,,4 LESIZE,5,,,2 LESIZE,6,,,2 VSWEEP,1,1,9 ALLSEL,ALL ASEL,S,AREA,,1 NSLA,S,1 D,ALL,UY,0 ALLSEL,ALL ASEL,S,AREA,,9 NSLA,S,1 D,ALL,UX,0 ALLSEL,ALL ASEL,S,AREA,,4,8,4 NSLA,S,1 D,ALL,UZ,0 ALLSEL,ALL *GET,NNODE,NODE,0,COUNT ! GET THE NUMBER OF NODES *DO,I,1,NNODE,1 ! DO OPERATION FROM 1 TO MAXIMUM NODE NUMBER *GET,NXX,NODE,I,LOC,X ! GET THE X LOCATION OF NODE *GET,NYY,NODE,I,LOC,Y ! GET THE Y LOCATION OF NODE *GET,NZZ,NODE,I,LOC,Z ! GET THE Z LOCATION OF NODE TN1 = SQRT((NXX**2)+(NYY**2)) TN = TN1-NZZ ! NEGATIVE SIGN SINCE THE GEOMETRY IS MODELED IN NEGATIVE Z AXIS BF,I,TEMP,TN *ENDDO ALLSEL,ALL FINI /SOLU ANTYPE,STATIC OUTRES,ALL,ALL NSUBS,10,10,10 TIME,1 SOLVE FINI /POST1 SET,LAST

2140


VM-R049-1A 181 Input Listing N1 = NODE(1,0,0) *GET,SZZ,NODE,N1,S,Z *DIM,LABEL,CHAR,1 *DIM,VALUE,,1,3 LABEL(1,1) = 'DIRECT_STRESS' *VFILL,VALUE(1,1),DATA,-105 *VFILL,VALUE(1,2),DATA,(SZZ/1000000) *VFILL,VALUE(1,3),DATA,((SZZ/1000000)/(-105)) /OUT,vmlsb2-le11-186,vrt /COM,------------------- vmlsb2-le11-186 RESULTS COMPARISON -------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM,------------------------------------------------------------------------/OUT, FINISH *LIST,vmlsb2-le11-186,vrt

VM-R049-1A 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr1a-181 /TITLE,vmr049-cr1a-181,CONSTANT-LOAD CREEP BENCHMARK /COM, REFERENCE: TEST CR-1A FROM NAFEMS REPORT 0049. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,3.125E-14 *SET,C2,5 *SET,C3,0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,0 TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 SAVE N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 ET,1,181,,, R,1,1,1,1,1, E,1,2,3,4 E,4,3,5,6 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,,,4 D,ALL,UY, NSEL,ALL D,ALL,ROTX D,ALL,ROTY D,4,UZ,0 FINISH *DO,I,1,2,1 *IF,I,EQ,2,THEN


2141

NAFEMS Input Listings /PREP7 TB,HILL,1 TBDATA,1, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 *ENDIF /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,100,1,100 AUTOS,OFF TIME,1000 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH *IF,I,EQ,1,THEN /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y PRVAR,2,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /COLOR,CURVE,RED,1 /YRANGE,-5,10 PLVAR,2,3 FINISH /POST1 SET,1,1 *GET,S1,NODE,3,EPCR,X R1=1.00 SET,2,2 *GET,S2,NODE,3,EPCR,X R2=S2/2 SET,2,4 *GET,S3,NODE,3,EPCR,X R3=S3/4 SET,2,6 *GET,S4,NODE,3,EPCR,X R4=S4/6 SET,2,8 *GET,S5,NODE,3,EPCR,X R5=S5/8 SET,2,10 *GET,S6,NODE,3,EPCR,X R6=S6/10 *DIM,VALUE,,6,6 *DIM,LABEL,CHAR,10 LABEL(1) = '0','200','400','600','800','1000' *VFILL,VALUE(1,1),DATA,0,2,4,6,8,10 *VFILL,VALUE(1,2),DATA,S1,S2,S3,S4,S5,S6 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6 /POST1 SET,1,1 *GET,S1_Y,NODE,3,EPCR,Y R7=1.00 SET,2,2 *GET,S2_Y,NODE,3,EPCR,Y R8=S2_Y/(-1.0)

2142


VM-R049-1A 181 Input Listing SET,2,4 *GET,S3_Y,NODE,3,EPCR,Y R9=S3_Y/(-2.0) SET,2,6 *GET,S4_Y,NODE,3,EPCR,Y R10=S4_Y/(-3.0) SET,2,8 *GET,S5_Y,NODE,3,EPCR,Y R11=S5_Y/(-4.0) SET,2,10 *GET,S6_Y,NODE,3,EPCR,Y R12=S6_Y/(-5.0) LABEL(1) = '0','200','400','600','800','1000' *VFILL,VALUE(1,4),DATA,0,-1,-2,-3,-4,-5 *VFILL,VALUE(1,5),DATA,S1_Y,S2_Y,S3_Y,S4_Y,S5_Y,S6_Y *VFILL,VALUE(1,6),DATA,R7,R8,R9,R10,R11,R12 *ENDIF *IF,I,EQ,2,THEN /COM, /COM, ANISOTROPIC CREEP MODELED AS ISOTROPIC /COM, /POST26 ESOL,3,1,,EPCR,X ESOL,4,1,,EPCR,Y PRVAR,2 /AXLAB,X,TIME /AXLAB,Y,ANISOTROPIC CREEP STRAIN /COLOR,CURVE,BLUE,1 /YRANGE,-5,10 PLVAR,3,4 FINISH /POST1 SET,1,1 *GET,S11,NODE,3,EPCR,X R11=1.00 SET,2,2 *GET,S22,NODE,3,EPCR,X R22=S22/2 SET,2,4 *GET,S33,NODE,3,EPCR,X R33=S33/4 SET,2,6 *GET,S44,NODE,3,EPCR,X R44=S44/6 SET,2,8 *GET,S55,NODE,3,EPCR,X R55=S55/8 SET,2,10 *GET,S66,NODE,3,EPCR,X R66=S66/10 *DIM,VALUE2,,6,6 *VFILL,VALUE2(1,1),DATA,0,2,4,6,8,10 *VFILL,VALUE2(1,2),DATA,S11,S22,S33,S44,S55,S66 *VFILL,VALUE2(1,3),DATA,R11,R22,R33,R44,R55,R66 /POST1 SET,1,1 *GET,S11_Y,NODE,3,EPCR,Y R77=1.00 SET,2,2 *GET,S22_Y,NODE,3,EPCR,Y R88=S22_Y/(-1.0) SET,2,4 *GET,S33_Y,NODE,3,EPCR,Y R99=S33_Y/(-2.0) SET,2,6 *GET,S44_Y,NODE,3,EPCR,Y R100=S44_Y/(-3.0) SET,2,8


2143

NAFEMS Input Listings *GET,S55_Y,NODE,3,EPCR,Y R111=S55_Y/(-4.0) SET,2,10 *GET,S66_Y,NODE,3,EPCR,Y R122=S66_Y/(-5.0) LABEL(1) = '0','200','400','600','800','1000' *VFILL,VALUE2(1,4),DATA,0,-1,-2,-3,-4,-5 *VFILL,VALUE2(1,5),DATA,S11_Y,S22_Y,S33_Y,S44_Y,S55_Y,S66_Y *VFILL,VALUE2(1,6),DATA,R77,R88,R99,R100,R111,R122 *ENDIF *ENDDO /COM, /COM, /COM,------------- vmr049-cr1a-181 ISOTROPIC RESULTS COMPARISON -------------/COM, /COM, vmr049-cr1a-181.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS. THE RESULTS DISPLAYED ARE INCREMENTED /COM, FOR THIS PURPOSE. /COM, /COM, /COM,| TIME | TARGET X | Mechanical APDL | RATIO | TARGET Y | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3), VALUE(1,4),VALUE(1,5), VALUE(1,6) (1X,A8,' ',F8.3,' ',F8.3,' ',F15.3,' ',1F10.3,' ',F8.3,' ',F14.3,' ') /COM, /COM, /COM,------------ vmr049-cr1a-181 ANISOTROPIC RESULTS COMPARISON ------------/COM, /COM, /COM,| TIME | TARGET X | Mechanical APDL | RATIO | TARGET Y | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE2(1,1), VALUE2(1,2), VALUE2(1,3), VALUE2(1,4),VALUE2(1,5), VALUE2(1,6) (1X,A8,' ',F8.3,' ',F8.3,' ',F15.3,' ',1F10.3,' ',F8.3,' ',F14.3,' ') FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR2X ',' ECR2Y ' *VFILL,VALUE1(1,1),DATA,S6,S6_Y *VFILL,VALUE1(1,2),DATA,R6,R12 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr1a-181' /OUT,vmr049-cr1a-181,vrt /COM /COM,------------------- vmr049-cr1a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL181 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F12.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F12.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr1a-181,vrt

VM-R049-1A 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr1a-182 /TITLE,vmr049-cr1a-182,CONSTANT-LOAD CREEP BENCHMARK /COM, REFERENCE: TEST CR-1A FROM NAFEMS REPORT 0049. /PREP7

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VM-R049-1A 182 Input Listing C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,3.125E-14 *SET,C2,5 *SET,C3,0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,0 TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 SAVE N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 ET,1,182 KEYOPT,1,1,1 KEYOPT,1,3,0 E,1,2,3,4 E,4,3,5,6 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,,,4 D,ALL,UY, NSEL,ALL /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,100,1,100 AUTOS,OFF TIME,1000 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH *DO,I,1,2,1 *IF,I,EQ,2,THEN /PREP7 TB,HILL,1 TBDATA,1, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 *ENDIF /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE


2145

NAFEMS Input Listings /OUT RATE, ON, ON DELT,100,1,100 AUTOS,OFF TIME,1000 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH *IF,I,EQ,1,THEN /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y PRVAR,2,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /COLOR,CURVE,RED,1 /YRANGE,-5,10 PLVAR,2,3 FINISH /POST1 SET,1,1 *GET,S1,NODE,3,EPCR,X R1=1.00 SET,2,2 *GET,S2,NODE,3,EPCR,X R2=S2/2 SET,2,4 *GET,S3,NODE,3,EPCR,X R3=S3/4 SET,2,6 *GET,S4,NODE,3,EPCR,X R4=S4/6 SET,2,8 *GET,S5,NODE,3,EPCR,X R5=S5/8 SET,2,10 *GET,S6,NODE,3,EPCR,X R6=S6/10 *DIM,VALUE,,6,6 *DIM,LABEL,CHAR,10 LABEL(1) = '0','200','400','600','800','1000' *VFILL,VALUE(1,1),DATA,0,2,4,6,8,10 *VFILL,VALUE(1,2),DATA,S1,S2,S3,S4,S5,S6 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6 /POST1 SET,1,1 *GET,S1_Y,NODE,3,EPCR,Y R7=1.00 SET,2,2 *GET,S2_Y,NODE,3,EPCR,Y R8=S2_Y/(-1.0) SET,2,4 *GET,S3_Y,NODE,3,EPCR,Y R9=S3_Y/(-2.0) SET,2,6 *GET,S4_Y,NODE,3,EPCR,Y R10=S4_Y/(-3.0) SET,2,8 *GET,S5_Y,NODE,3,EPCR,Y R11=S5_Y/(-4.0) SET,2,10 *GET,S6_Y,NODE,3,EPCR,Y R12=S6_Y/(-5.0) LABEL(1) = '0','200','400','600','800','1000' *VFILL,VALUE(1,4),DATA,0,-1,-2,-3,-4,-5 *VFILL,VALUE(1,5),DATA,S1_Y,S2_Y,S3_Y,S4_Y,S5_Y,S6_Y

2146


VM-R049-1A 182 Input Listing *VFILL,VALUE(1,6),DATA,R7,R8,R9,R10,R11,R12 *ENDIF *IF,I,EQ,2,THEN /COM, /COM, ANISOTROPIC CREEP MODELED AS ISOTROPIC /COM, /POST26 ESOL,3,1,,EPCR,X ESOL,4,1,,EPCR,Y PRVAR,3,4 /AXLAB,X,TIME /AXLAB,Y, ANISOTROPIC CREEP STRAIN /COLOR,CURVE,BLUE,1 /YRANGE,-5,10 PLVAR,3,4 FINISH /POST1 SET,1,1 *GET,S11,NODE,3,EPCR,X R11=1.00 SET,2,2 *GET,S22,NODE,3,EPCR,X R22=S22/2 SET,2,4 *GET,S33,NODE,3,EPCR,X R33=S33/4 SET,2,6 *GET,S44,NODE,3,EPCR,X R44=S44/6 SET,2,8 *GET,S55,NODE,3,EPCR,X R55=S55/8 SET,2,10 *GET,S66,NODE,3,EPCR,X R66=S66/10 *DIM,VALUE2,,6,6 *VFILL,VALUE2(1,1),DATA,0,2,4,6,8,10 *VFILL,VALUE2(1,2),DATA,S11,S22,S33,S44,S55,S66 *VFILL,VALUE2(1,3),DATA,R11,R22,R33,R44,R55,R66 /POST1 SET,1,1 *GET,S11_Y,NODE,3,EPCR,Y R77=1.00 SET,2,2 *GET,S22_Y,NODE,3,EPCR,Y R88=S22_Y/(-1.0) SET,2,4 *GET,S33_Y,NODE,3,EPCR,Y R99=S33_Y/(-2.0) SET,2,6 *GET,S44_Y,NODE,3,EPCR,Y R100=S44_Y/(-3.0) SET,2,8 *GET,S55_Y,NODE,3,EPCR,Y R111=S55_Y/(-4.0) SET,2,10 *GET,S66_Y,NODE,3,EPCR,Y R122=S66_Y/(-5.0) LABEL(1) = '0','200','400','600','800','1000' *VFILL,VALUE2(1,4),DATA,0,-1,-2,-3,-4,-5 *VFILL,VALUE2(1,5),DATA,S11_Y,S22_Y,S33_Y,S44_Y,S55_Y,S66_Y *VFILL,VALUE2(1,6),DATA,R77,R88,R99,R100,R111,R122 *ENDIF *ENDDO /COM, /COM, /COM,------------- vmr049-cr1a-182 ISOTROPIC RESULTS COMPARISON --------------


2147

NAFEMS Input Listings /COM, /COM, vmr049-cr1a-182.grph RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS. THE RESULTS DISPLAYED ARE INCREMENTED /COM, FOR THIS PURPOSE. /COM, /COM, /COM,| TIME | TARGET X | Mechanical APDL | RATIO | TARGET Y | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3), VALUE(1,4),VALUE(1,5), VALUE(1,6) (1X,A8,' ',F8.3,' ',F8.3,' ',F14.3,' ',1F12.3,' ',F8.3,' ',F14.3,' ') /COM, /COM, /COM,------------ vmr049-cr1a-182 ANISOTROPIC RESULTS COMPARISON ------------/COM, /COM, /COM,| TIME | TARGET X | Mechanical APDL | RATIO | TARGET Y | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE2(1,1), VALUE2(1,2), VALUE2(1,3), VALUE2(1,4),VALUE2(1,5), VALUE2(1,6) (1X,A8,' ',F8.3,' ',F8.3,' ',F14.3,' ',1F12.3,' ',F8.3,' ',F14.3,' ') FINISH /POST26 /COM,ESOL,2,1,,EPCR,X /COM,ESOL,3,1,,EPCR,Y /COM,PRVAR,2,3 /COM,PLVAR,2,3 /COM,*GET,RES1X,VARI,2,RTIME,1000 /COM,*GET,RES1Y,VARI,3,RTIME,1000 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR2X ',' ECR2Y ' *VFILL,VALUE1(1,1),DATA,S66,S66_Y *VFILL,VALUE1(1,2),DATA,R66,R122 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr1a-182' /OUT,vmr049-cr1a-182,vrt /COM /COM,------------------- vmr049-cr1a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F12.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F12.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr1a-182,vrt

VM-R049-1A 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr1a-183 /TITLE,vmr049-cr1a-183,CONSTANT-LOAD CREEP BENCHMARK /COM, REFERENCE: TEST CR-1A FROM NAFEMS REPORT 0049. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,3.125E-14 *SET,C2,5 *SET,C3,0 *SET,C4,0

2148


VM-R049-1A 183 Input Listing C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,0 TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 SAVE N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 ET,1,183 KEYOPT,1,3,0 E,1,2,3,4,5,6,7,8 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,,,8 D,ALL,UY, NSEL,ALL *DO,I,1,2,1 *IF,I,EQ,2,THEN /PREP7 TB,HILL,1 TBDATA,1, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 *ENDIF /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,100,1,100 AUTOS,OFF TIME,1000 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH *IF,I,EQ,1,THEN /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y PRVAR,2,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /COLOR,CURVE,RED,1 /YRANGE,-5,10 PLVAR,2,3 FINISH /POST1 SET,1,1 *GET,S1,NODE,3,EPCR,X


2149

NAFEMS Input Listings R1=1.00 SET,2,2 *GET,S2,NODE,3,EPCR,X R2=S2/2 SET,2,4 *GET,S3,NODE,3,EPCR,X R3=S3/4 SET,2,6 *GET,S4,NODE,3,EPCR,X R4=S4/6 SET,2,8 *GET,S5,NODE,3,EPCR,X R5=S5/8 SET,2,10 *GET,S6,NODE,3,EPCR,X R6=S6/10 *DIM,VALUE,,6,6 *DIM,LABEL,CHAR,10 LABEL(1) = '0','200','400','600','800','1000' *VFILL,VALUE(1,1),DATA,0,2,4,6,8,10 *VFILL,VALUE(1,2),DATA,S1,S2,S3,S4,S5,S6 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6 /POST1 SET,1,1 *GET,S1_Y,NODE,3,EPCR,Y R7=1.00 SET,2,2 *GET,S2_Y,NODE,3,EPCR,Y R8=S2_Y/(-1.0) SET,2,4 *GET,S3_Y,NODE,3,EPCR,Y R9=S3_Y/(-2.0) SET,2,6 *GET,S4_Y,NODE,3,EPCR,Y R10=S4_Y/(-3.0) SET,2,8 *GET,S5_Y,NODE,3,EPCR,Y R11=S5_Y/(-4.0) SET,2,10 *GET,S6_Y,NODE,3,EPCR,Y R12=S6_Y/(-5.0) LABEL(1) = '0','200','400','600','800','1000' *VFILL,VALUE(1,4),DATA,0,-1,-2,-3,-4,-5 *VFILL,VALUE(1,5),DATA,S1_Y,S2_Y,S3_Y,S4_Y,S5_Y,S6_Y *VFILL,VALUE(1,6),DATA,R7,R8,R9,R10,R11,R12 *ENDIF *IF,I,EQ,2,THEN /COM, /COM, ANISOTROPIC CREEP MODELED AS ISOTROPIC /COM, /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y PRVAR,2,3 /AXLAB,X,TIME /AXLAB,Y,ANISOTROPIC CREEP STRAIN /COLOR,CURVE,BLUE,1 /YRANGE,-5,10 PLVAR,2,3 FINISH /POST1 SET,1,1 *GET,S11,NODE,3,EPCR,X R11=1.00 SET,2,2 *GET,S22,NODE,3,EPCR,X R22=S22/2

2150


VM-R049-1A 183 Input Listing SET,2,4 *GET,S33,NODE,3,EPCR,X R33=S33/4 SET,2,6 *GET,S44,NODE,3,EPCR,X R44=S44/6 SET,2,8 *GET,S55,NODE,3,EPCR,X R55=S55/8 SET,2,10 *GET,S66,NODE,3,EPCR,X R66=S66/10 *DIM,VALUE2,,6,6 *VFILL,VALUE2(1,1),DATA,0,2,4,6,8,10 *VFILL,VALUE2(1,2),DATA,S11,S22,S33,S44,S55,S66 *VFILL,VALUE2(1,3),DATA,R11,R22,R33,R44,R55,R66 /POST1 SET,1,1 *GET,S11_Y,NODE,3,EPCR,Y R77=1.00 SET,2,2 *GET,S22_Y,NODE,3,EPCR,Y R88=S22_Y/(-1.0) SET,2,4 *GET,S33_Y,NODE,3,EPCR,Y R99=S33_Y/(-2.0) SET,2,6 *GET,S44_Y,NODE,3,EPCR,Y R100=S44_Y/(-3.0) SET,2,8 *GET,S55_Y,NODE,3,EPCR,Y R111=S55_Y/(-4.0) SET,2,10 *GET,S66_Y,NODE,3,EPCR,Y R122=S66_Y/(-5.0) LABEL(1) = '0','200','400','600','800','1000' *VFILL,VALUE2(1,4),DATA,0,-1,-2,-3,-4,-5 *VFILL,VALUE2(1,5),DATA,S11_Y,S22_Y,S33_Y,S44_Y,S55_Y,S66_Y *VFILL,VALUE2(1,6),DATA,R77,R88,R99,R100,R111,R122 *ENDIF *ENDDO /COM, /COM, /COM,------------- vmr049-cr1a-183 ISOTROPIC RESULTS COMPARISON -------------/COM, /COM, vmr049-cr1a-183.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS. THE RESULTS DISPLAYED ARE INCREMENTED /COM, FOR THIS PURPOSE. /COM, /COM, /COM,| TIME | TARGET X | Mechanical APDL | RATIO | TARGET Y | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3), VALUE(1,4),VALUE(1,5), VALUE(1,6) (1X,A8,' ',F8.3,' ',F8.3,' ',F14.3,' ',1F10.3,' ',F8.3,' ',F14.3,' ') /COM, /COM, /COM,------------ vmr049-cr1a-183 ANISOTROPIC RESULTS COMPARISON ------------/COM, /COM, /COM,| TIME | TARGET X | Mechanical APDL | RATIO | TARGET Y | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE2(1,1), VALUE2(1,2), VALUE2(1,3), VALUE2(1,4),VALUE2(1,5), VALUE2(1,6) (1X,A8,' ',F8.3,' ',F8.3,' ',F14.3,' ',1F10.3,' ',F8.3,' ',F14.3,' ') FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR2X ',' ECR2Y ' *VFILL,VALUE1(1,1),DATA,S6,S6_Y


2151

NAFEMS Input Listings *VFILL,VALUE1(1,2),DATA,R6,R12 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr1a-183' /OUT,vmr049-cr1a-183,vrt /COM /COM,------------------- vmr049-cr1a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr1a-183,vrt

VM-R049-1A 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr1a-281 /TITLE,vmr049-cr1a-281,CONSTANT-LOAD CREEP BENCHMARK /COM, REFERENCE: TEST CR-1A FROM NAFEMS REPORT 0049. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,3.125E-14 *SET,C2,5 *SET,C3,0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,0 TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 SAVE N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 N,7,50,0 N,8,100,25 N,9,50,50 N,10,0,25 N,11,100,75 N,12,50,100 N,13,0,75 ET,1,SHELL281,,, R,1,1,1,1,1, E,1,2,3,4,7,8,9,10 E,4,3,5,6,9,11,12,13 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,,,4 D,ALL,UY, NSEL,ALL D,ALL,ROTX

2152


VM-R049-1A 281 Input Listing D,ALL,ROTY D,9,UZ,0 FINISH *DO,I,1,2,1 *IF,I,EQ,2,THEN /PREP7 TB,HILL,1 TBDATA,1, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0 *ENDIF /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,100,1,100 AUTOS,OFF TIME,1000 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH *IF,I,EQ,1,THEN /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y PRVAR,2,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN /COLOR,CURVE,RED,1 /YRANGE,-5,10 PLVAR,2,3 FINISH /POST1 SET,1,1 *GET,S1,NODE,3,EPCR,X R1=1.00 SET,2,2 *GET,S2,NODE,3,EPCR,X R2=S2/2 SET,2,4 *GET,S3,NODE,3,EPCR,X R3=S3/4 SET,2,6 *GET,S4,NODE,3,EPCR,X R4=S4/6 SET,2,8 *GET,S5,NODE,3,EPCR,X R5=S5/8 SET,2,10 *GET,S6,NODE,3,EPCR,X R6=S6/10 *DIM,VALUE,,6,6 *DIM,LABEL,CHAR,10 LABEL(1) = '0','200','400','600','800','1000' *VFILL,VALUE(1,1),DATA,0,2,4,6,8,10 *VFILL,VALUE(1,2),DATA,S1,S2,S3,S4,S5,S6 *VFILL,VALUE(1,3),DATA,R1,R2,R3,R4,R5,R6 /POST1 SET,1,1 *GET,S1_Y,NODE,3,EPCR,Y R7=1.00 SET,2,2 *GET,S2_Y,NODE,3,EPCR,Y R8=S2_Y/(-1.0)


2153

NAFEMS Input Listings SET,2,4 *GET,S3_Y,NODE,3,EPCR,Y R9=S3_Y/(-2.0) SET,2,6 *GET,S4_Y,NODE,3,EPCR,Y R10=S4_Y/(-3.0) SET,2,8 *GET,S5_Y,NODE,3,EPCR,Y R11=S5_Y/(-4.0) SET,2,10 *GET,S6_Y,NODE,3,EPCR,Y R12=S6_Y/(-5.0) LABEL(1) = '0','200','400','600','800','1000' *VFILL,VALUE(1,4),DATA,0,-1,-2,-3,-4,-5 *VFILL,VALUE(1,5),DATA,S1_Y,S2_Y,S3_Y,S4_Y,S5_Y,S6_Y *VFILL,VALUE(1,6),DATA,R7,R8,R9,R10,R11,R12 *ENDIF *IF,I,EQ,2,THEN /COM, /COM, ANISOTROPIC CREEP MODELED AS ISOTROPIC /COM, /POST26 ESOL,3,1,,EPCR,X ESOL,4,1,,EPCR,Y PRVAR,2 /AXLAB,X,TIME /AXLAB,Y,ANISOTROPIC CREEP STRAIN /COLOR,CURVE,BLUE,1 /YRANGE,-5,10 PLVAR,3,4 FINISH /POST1 SET,1,1 *GET,S11,NODE,3,EPCR,X R11=1.00 SET,2,2 *GET,S22,NODE,3,EPCR,X R22=S22/2 SET,2,4 *GET,S33,NODE,3,EPCR,X R33=S33/4 SET,2,6 *GET,S44,NODE,3,EPCR,X R44=S44/6 SET,2,8 *GET,S55,NODE,3,EPCR,X R55=S55/8 SET,2,10 *GET,S66,NODE,3,EPCR,X R66=S66/10 *DIM,VALUE2,,6,6 *VFILL,VALUE2(1,1),DATA,0,2,4,6,8,10 *VFILL,VALUE2(1,2),DATA,S11,S22,S33,S44,S55,S66 *VFILL,VALUE2(1,3),DATA,R11,R22,R33,R44,R55,R66 SET,1,1 *GET,S11_Y,NODE,3,EPCR,Y R77=1.00 SET,2,2 *GET,S22_Y,NODE,3,EPCR,Y R88=S22_Y/(-1.0) SET,2,4 *GET,S33_Y,NODE,3,EPCR,Y R99=S33_Y/(-2.0) SET,2,6 *GET,S44_Y,NODE,3,EPCR,Y R100=S44_Y/(-3.0) SET,2,8 *GET,S55_Y,NODE,3,EPCR,Y R111=S55_Y/(-4.0) SET,2,10 *GET,S66_Y,NODE,3,EPCR,Y R122=S66_Y/(-5.0) LABEL(1) = '0','200','400','600','800','1000'

2154


VM-R049-1B 181 Input Listing *VFILL,VALUE2(1,4),DATA,0,-1,-2,-3,-4,-5 *VFILL,VALUE2(1,5),DATA,S11_Y,S22_Y,S33_Y,S44_Y,S55_Y,S66_Y *VFILL,VALUE2(1,6),DATA,R77,R88,R99,R100,R111,R122 *ENDIF *ENDDO /COM, /COM, /COM,------------- vmr049-cr1a-281 ISOTROPIC RESULTS COMPARISON -------------/COM, /COM, vmr049-cr1a-281.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS. THE RESULTS DISPLAYED ARE INCREMENTED /COM, FOR THIS PURPOSE. /COM, /COM, /COM,| TIME | TARGET X | Mechanical APDL | RATIO | TARGET Y | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE(1,1), VALUE(1,2), VALUE(1,3), VALUE(1,4),VALUE(1,5), VALUE(1,6) (1X,A8,' ',F8.3,' ',F8.3,' ',F14.3,' ',1F14.3,' ',F8.3,' ',F10.3,' ') /COM, /COM, /COM,------------ vmr049-cr1a-281 ANISOTROPIC RESULTS COMPARISON ------------/COM, /COM, /COM,| TIME | TARGET X | Mechanical APDL | RATIO | TARGET Y | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), VALUE2(1,1), VALUE2(1,2), VALUE2(1,3), VALUE2(1,4),VALUE2(1,5), VALUE2(1,6) (1X,A8,' ',F8.3,' ',F8.3,' ',F14.3,' ',1F14.3,' ',F8.3,' ',F10.3,' ') FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR2X ',' ECR2Y ' *VFILL,VALUE1(1,1),DATA,S6,S6_Y *VFILL,VALUE1(1,2),DATA,R6,R12 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr1a-281' /OUT,vmr049-cr1a-281,vrt /COM /COM,------------------- vmr049-cr1a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL281 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr1a-281,vrt /OUT,SCRATCH

VM-R049-1B 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr1b-181 /TITLE,vmr049-cr1b-181,CONSTANT-LOAD CREEP BENCHMARK /COM, REFERENCE: TEST CR-1B FROM NAFEMS REPORT R0049. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200


2155

NAFEMS Input Listings C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 ET,1,181,,, R,1,1,1,1,1, E,1,2,3,4 E,4,3,5,6 NSEL,S,LOC,X, D,ALL,UX, D,ALL,ROTX NSEL,ALL NSEL,S,,,4 D,ALL,UY, D,ALL,ROTY NSEL,ALL D,ALL,ROTZ D,ALL,UZ /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 SOLVE RATE, ON, ON DELT,100,99,101 TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y PRVAR,2,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN PLVAR,2,3 FINISH /POST1 SET,,,,,,,1 *GET,S1,NODE,3,EPCR,X *GET,S1_Y,NODE,3,EPCR,Y R1=1.00 R7=1.00 SET,,,,,,,3 *GET,S2,NODE,3,EPCR,X *GET,S2_Y,NODE,3,EPCR,Y R2=S2/0.854E-1 R8=S2_Y/(-0.427E-1) SET,,,,,,,5 *GET,S3,NODE,3,EPCR,X *GET,S3_Y,NODE,3,EPCR,Y R3=S3/0.1396 R9=S3_Y/(-0.698E-1) SET,,,,,,,7 *GET,S4,NODE,3,EPCR,X

2156


VM-R049-1B 181 Input Listing *GET,S4_Y,NODE,3,EPCR,Y R4=S4/0.183 R10=S4_Y/(-0.9133E-1) SET,,,,,,,9 *GET,S5,NODE,3,EPCR,X *GET,S5_Y,NODE,3,EPCR,Y R5=S5/0.219 R11=S5_Y/(-0.1097) SET,,,,,,,11 *GET,S6,NODE,3,EPCR,X *GET,S6_Y,NODE,3,EPCR,Y R6=S6/0.251 R12=S6_Y/(-0.125) *DIM,VALUE,,6,4 *DIM,LABEL,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,RATIO,,6,4 LABEL(1) = '0','200','400','600','800','1000' TARGETX(1) = '0.50E-6','0.0854','0.1396','0.183','0.219','0.251' TARGETY(1) = '-0.25E-6','-0.0427','-0.0698','-0.09133','-0.1097','-0.125' *VFILL,VALUE(1,1),DATA,S1,S2,S3,S4,S5,S6 *VFILL,VALUE(1,2),DATA,R1,R2,R3,R4,R5,R6 *VFILL,VALUE(1,3),DATA,S1_Y,S2_Y,S3_Y,S4_Y,S5_Y,S6_Y *VFILL,VALUE(1,4),DATA,R7,R8,R9,R10,R11,R12 /COM /COM /COM,--------- vmr049-cr1b-181 RESULTS COMPARISON----------/COM, /COM, vmr049-cr1b-181.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 100,FIGURE 3.7(B). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE /COM, /COM,-------- CREEP COMPONENT IN X DIRECTION --------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),TARGETX(1), VALUE(1,1), VALUE(1,2) (1X,A6,' ',1X,A9,' ',F14.5,' ',F12.3,' ') /COM, /COM,-------- CREEP COMPONENT IN Y DIRECTION --------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),TARGETY(1), VALUE(1,3), VALUE(1,4) (1X,A6,' ',1X,A9,' ',F14.5,' ',F12.3,' ') FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR2X ',' ECR2Y ' *VFILL,VALUE1(1,1),DATA,S6,S6_Y *VFILL,VALUE1(1,2),DATA,R6,R12 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr1b-181' /OUT,vmr049-cr1b-181,vrt /COM /COM,------------------- vmr049-cr1b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE181 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT


2157

NAFEMS Input Listings FINISH *LIST,vmr049-cr1b-181,vrt

VM-R049-1B 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr1b-182 /TITLE,vmr049-cr1b-182,CONSTANT-LOAD CREEP BENCHMARK /COM, REFERENCE: TEST CR-1B FROM NAFEMS REPORT R0049. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 ET,1,182 KEYOPT,1,1,1 KEYOPT,1,3,0 E,1,2,3,4 E,4,3,5,6 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,,,4 D,ALL,UY, NSEL,ALL /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 SOLVE RATE, ON, ON DELT,100,99,101 TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y PRVAR,2,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN PLVAR,2,3 FINISH

2158



/POST1 SET,,,,,,,1 *GET,S1,NODE,3,EPCR,X *GET,S1_Y,NODE,3,EPCR,Y R1=1.00 R7=1.00 SET,,,,,,,3 *GET,S2,NODE,3,EPCR,X *GET,S2_Y,NODE,3,EPCR,Y R2=S2/0.854E-1 R8=S2_Y/(-0.427E-1) SET,,,,,,,5 *GET,S3,NODE,3,EPCR,X *GET,S3_Y,NODE,3,EPCR,Y R3=S3/0.1396 R9=S3_Y/(-0.698E-1) SET,,,,,,,7 *GET,S4,NODE,3,EPCR,X *GET,S4_Y,NODE,3,EPCR,Y R4=S4/0.183 R10=S4_Y/(-0.9133E-1) SET,,,,,,,9 *GET,S5,NODE,3,EPCR,X *GET,S5_Y,NODE,3,EPCR,Y R5=S5/0.219 R11=S5_Y/(-0.1097) SET,,,,,,,11 *GET,S6,NODE,3,EPCR,X *GET,S6_Y,NODE,3,EPCR,Y R6=S6/0.251 R12=S6_Y/(-0.125) *DIM,VALUE,,6,4 *DIM,LABEL,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,RATIO,,6,4 LABEL(1) = '0','200','400','600','800','1000' TARGETX(1) = '0.50E-6','0.0854','0.1396','0.183','0.219','0.251' TARGETY(1) = '-0.25E-6','-0.0427','-0.0698','-0.09133','-0.1097','-0.125' *VFILL,VALUE(1,1),DATA,S1,S2,S3,S4,S5,S6 *VFILL,VALUE(1,2),DATA,R1,R2,R3,R4,R5,R6 *VFILL,VALUE(1,3),DATA,S1_Y,S2_Y,S3_Y,S4_Y,S5_Y,S6_Y *VFILL,VALUE(1,4),DATA,R7,R8,R9,R10,R11,R12 /COM /COM /COM,--------- vmr049-cr1b-182 RESULTS COMPARISON----------/COM, /COM, vmr049-cr1b-182.grph RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 100,FIGURE 3.7(B). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE /COM, /COM,-------- CREEP COMPONENT IN X DIRECTION --------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),TARGETX(1), VALUE(1,1), VALUE(1,2) (1X,A6,' ',1X,A9,' ',F14.5,' ',F12.3,' ') /COM, /COM,-------- CREEP COMPONENT IN Y DIRECTION --------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),TARGETY(1), VALUE(1,3), VALUE(1,4) (1X,A6,' ',1X,A9,' ',F14.5,' ',F12.3,' ') FINISH /POST26 /COM,ESOL,2,1,,EPCR,X /COM,ESOL,3,1,,EPCR,Y /COM,PRVAR,2,3 /COM,PLVAR,2,3


2159

NAFEMS Input Listings /COM,*GET,RES1X,VARI,2,RTIME,1000 /COM,*GET,RES1Y,VARI,3,RTIME,1000 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR2X ',' ECR2Y ' *VFILL,VALUE1(1,1),DATA,S6,S6_Y *VFILL,VALUE1(1,2),DATA,R6,R12 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr1b-182' /OUT,vmr049-cr1b-182,vrt /COM /COM,------------------- vmr049-cr1b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr1b-182,vrt

VM-R049-1B 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr1b-183 /TITLE,vmr049-cr1b-183,CONSTANT-LOAD CREEP BENCHMARK /COM, REFERENCE: TEST CR-1B FROM NAFEMS REPORT R0049. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 SAVE N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 ET,1,183 KEYOPT,1,3,0 E,1,2,3,4,5,6,7,8 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,,,8 D,ALL,UY,

2160


VM-R049-1B 183 Input Listing NSEL,ALL /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUT,SCRATCH SOLVE RATE, ON, ON DELT,100,99,101 TIME,1000 OUTRES,ALL,ALL SOLVE /OUT FINISH /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y PRVAR,2,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN PLVAR,2,3 FINISH /POST1 SET,,,,,,,1 *GET,S1,NODE,3,EPCR,X *GET,S1_Y,NODE,3,EPCR,Y R1=1.00 R7=1.00 SET,,,,,,,3 *GET,S2,NODE,3,EPCR,X *GET,S2_Y,NODE,3,EPCR,Y R2=S2/0.854E-1 R8=S2_Y/(-0.427E-1) SET,,,,,,,5 *GET,S3,NODE,3,EPCR,X *GET,S3_Y,NODE,3,EPCR,Y R3=S3/0.1396 R9=S3_Y/(-0.698E-1) SET,,,,,,,7 *GET,S4,NODE,3,EPCR,X *GET,S4_Y,NODE,3,EPCR,Y R4=S4/0.183 R10=S4_Y/(-0.9133E-1) SET,,,,,,,9 *GET,S5,NODE,3,EPCR,X *GET,S5_Y,NODE,3,EPCR,Y R5=S5/0.219 R11=S5_Y/(-0.1097) SET,,,,,,,11 *GET,S6,NODE,3,EPCR,X *GET,S6_Y,NODE,3,EPCR,Y R6=S6/0.251 R12=S6_Y/(-0.125) *DIM,VALUE,,6,4 *DIM,LABEL,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,RATIO,,6,4 LABEL(1) = '0','200','400','600','800','1000' TARGETX(1) = '0.50E-6','0.0854','0.1396','0.183','0.219','0.251' TARGETY(1) = '-0.25E-6','-0.0427','-0.0698','-0.09133','-0.1097','-0.125' *VFILL,VALUE(1,1),DATA,S1,S2,S3,S4,S5,S6 *VFILL,VALUE(1,2),DATA,R1,R2,R3,R4,R5,R6 *VFILL,VALUE(1,3),DATA,S1_Y,S2_Y,S3_Y,S4_Y,S5_Y,S6_Y *VFILL,VALUE(1,4),DATA,R7,R8,R9,R10,R11,R12 /COM


2161

NAFEMS Input Listings /COM /COM,--------- vmr049-cr1b-183 RESULTS COMPARISON----------/COM, /COM, vmr049-cr1b-183.grph RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 100,FIGURE 3.7(B). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE /COM, /COM,-------- CREEP COMPONENT IN X DIRECTION --------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),TARGETX(1), VALUE(1,1), VALUE(1,2) (1X,A6,' ',1X,A9,' ',F14.5,' ',F12.3,' ') /COM, /COM,-------- CREEP COMPONENT IN Y DIRECTION --------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),TARGETY(1), VALUE(1,3), VALUE(1,4) (1X,A6,' ',1X,A9,' ',F14.5,' ',F12.3,' ') FINISH /POST26 /COM,ESOL,2,1,,EPCR,X /COM,ESOL,3,1,,EPCR,Y /COM,PRVAR,2,3 /COM,PLVAR,2,3 /COM,*GET,RES1X,VARI,2,RTIME,1000 /COM,*GET,RES1Y,VARI,3,RTIME,1000 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR2X ',' ECR2Y ' *VFILL,VALUE1(1,1),DATA,S6,S6_Y *VFILL,VALUE1(1,2),DATA,R6,R12 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr1b-183' /OUT,vmr049-cr1b-183,vrt /COM /COM,------------------- vmr049-cr1b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr1b-183,vrt

VM-R049-1B 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr1b-281 /TITLE,vmr049-cr1b-281,CONSTANT-LOAD CREEP BENCHMARK /COM, REFERENCE: TEST CR-1B FROM NAFEMS REPORT R0049. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0

2162


VM-R049-1B 281 Input Listing C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 N,7,50,0 N,8,100,25 N,9,50,50 N,10,0,25 N,11,100,75 N,12,50,100 N,13,0,75 ET,1,SHELL281,,, R,1,1,1,1,1, E,1,2,3,4,7,8,9,10 E,4,3,5,6,9,11,12,13 NSEL,S,LOC,X, D,ALL,UX, D,ALL,ROTX NSEL,ALL NSEL,S,,,4 D,ALL,UY, D,ALL,ROTY NSEL,ALL D,ALL,ROTZ D,ALL,UZ /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUT,SCRATCH SOLVE RATE, ON, ON DELT,100,99,101 TIME,1000 OUTRES,ALL,ALL SOLVE /OUT FINISH /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y PRVAR,2,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN PLVAR,2,3 FINISH /POST1 SET,,,,,,,1 *GET,S1,NODE,3,EPCR,X *GET,S1_Y,NODE,3,EPCR,Y R1=1.00 R7=1.00 SET,,,,,,,3 *GET,S2,NODE,3,EPCR,X *GET,S2_Y,NODE,3,EPCR,Y R2=S2/0.854E-1 R8=S2_Y/(-0.427E-1) SET,,,,,,,5


2163

NAFEMS Input Listings *GET,S3,NODE,3,EPCR,X *GET,S3_Y,NODE,3,EPCR,Y R3=S3/0.1396 R9=S3_Y/(-0.698E-1) SET,,,,,,,7 *GET,S4,NODE,3,EPCR,X *GET,S4_Y,NODE,3,EPCR,Y R4=S4/0.183 R10=S4_Y/(-0.9133E-1) SET,,,,,,,9 *GET,S5,NODE,3,EPCR,X *GET,S5_Y,NODE,3,EPCR,Y R5=S5/0.219 R11=S5_Y/(-0.1097) SET,,,,,,,11 *GET,S6,NODE,3,EPCR,X *GET,S6_Y,NODE,3,EPCR,Y R6=S6/0.251 R12=S6_Y/(-0.125) *DIM,VALUE,,6,4 *DIM,LABEL,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,RATIO,,6,4 LABEL(1) = '0','200','400','600','800','1000' TARGETX(1) = '0.50E-6','0.0854','0.1396','0.183','0.219','0.251' TARGETY(1) = '-0.25E-6','-0.0427','-0.0698','-0.09133','-0.1097','-0.125' *VFILL,VALUE(1,1),DATA,S1,S2,S3,S4,S5,S6 *VFILL,VALUE(1,2),DATA,R1,R2,R3,R4,R5,R6 *VFILL,VALUE(1,3),DATA,S1_Y,S2_Y,S3_Y,S4_Y,S5_Y,S6_Y *VFILL,VALUE(1,4),DATA,R7,R8,R9,R10,R11,R12 /COM /COM /COM,--------- vmr049-cr1b-281 RESULTS COMPARISON----------/COM, /COM, vmr049-cr1b-281.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 100,FIGURE 3.7(B). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE /COM, /COM,-------- CREEP COMPONENT IN X DIRECTION --------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),TARGETX(1), VALUE(1,1), VALUE(1,2) (1X,A6,' ',1X,A9,' ',F14.5,' ',F12.3,' ') /COM, /COM,-------- CREEP COMPONENT IN Y DIRECTION --------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),TARGETY(1), VALUE(1,3), VALUE(1,4) (1X,A6,' ',1X,A9,' ',F14.5,' ',F12.3,' ') FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR2X ',' ECR2Y ' *VFILL,VALUE1(1,1),DATA,S6,S6_Y *VFILL,VALUE1(1,2),DATA,R6,R12 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr1b-281' /OUT,vmr049-cr1b-281,vrt /COM /COM,------------------- vmr049-cr1b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL281 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F12.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F12.4,' ',F9.4,' ',A7,A8)

2164


VM-R049-1C 181 Input Listing /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr1b-281,vrt

VM-R049-1C 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr1c-181 /TITLE,vmr049-cr1c-181,CONSTANT-LOAD CREEP BENCHMARK /COM, REFERENCE: TEST CR-1C FROM NAFEMS R0049. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,0.5E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 *SET,C5,1E-16 *SET,C6,5 *SET,C7,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,11 TBDATA,1,C1,C2,C3,C4,C5,C6,C6 SAVE N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 ET,1,181 R,1,1,1,1,1, E,1,2,3,4 E,4,3,5,6 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,,,4 D,ALL,UY, NSEL,ALL D,ALL,UZ D,ALL,ROTZ FINISH /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-100 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUT,SCRATCH SOLVE RATE, ON, ON DELT,100,99,101 TIME,1000 OUTRES,ALL,ALL SOLVE /OUT FINISH


2165


/POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y PRVAR,2,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN PLVAR,2,3 FINISH /POST1 SET,,,,,,,1 *GET,S1,NODE,3,EPCR,X *GET,S1_Y,NODE,3,EPCR,Y R1=1.00 R7=1.00 SET,,,,,,,3 *GET,S2,NODE,3,EPCR,X *GET,S2_Y,NODE,3,EPCR,Y R2=S2/0.1614E-2 R8=S2_Y/(-0.807E-3) SET,,,,,,,5 *GET,S3,NODE,3,EPCR,X *GET,S3_Y,NODE,3,EPCR,Y R3=S3/0.2407E-2 R9=S3_Y/(-0.1203E-2) SET,,,,,,,7 *GET,S4,NODE,3,EPCR,X *GET,S4_Y,NODE,3,EPCR,Y R4=S4/0.3055E-2 R10=S4_Y/(-0.15275E-2) SET,,,,,,,9 *GET,S5,NODE,3,EPCR,X *GET,S5_Y,NODE,3,EPCR,Y R5=S5/0.36339E-2 R11=S5_Y/(-0.18172E-2) SET,,,,,,,11 *GET,S6,NODE,3,EPCR,X *GET,S6_Y,NODE,3,EPCR,Y R6=S6/0.41475E-2 R12=S6_Y/(-0.2074E-2) *DIM,VALUE,,6,4 *DIM,LABEL,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,RATIO,,6,4 LABEL(1) = '0','200','400','600','800','1000' TARGETX(1) = '0.100E-7','0.001614','0.002407','0.003055','0.0036339','0.0041475' TARGETY(1) = '-0.50E-8','-0.000807','-0.001203','-0.001528','-0.001817','-0.002074' *VFILL,VALUE(1,1),DATA,S1,S2,S3,S4,S5,S6 *VFILL,VALUE(1,2),DATA,R1,R2,R3,R4,R5,R6 *VFILL,VALUE(1,3),DATA,S1_Y,S2_Y,S3_Y,S4_Y,S5_Y,S6_Y *VFILL,VALUE(1,4),DATA,R7,R8,R9,R10,R11,R12 /COM /COM /COM,--------- vmr049-cr1c-181 RESULTS COMPARISON----------/COM, /COM, vmr049-cr1c-181.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 100 ,FIGURE 3.7C. THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE /COM, /COM,-------- CREEP COMPONENT IN X DIRECTION --------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),TARGETX(1), VALUE(1,1), VALUE(1,2) (1X,A6,' ',1X,A8,' ',F14.5,' ',F12.3,' ') /COM, /COM,-------- CREEP COMPONENT IN Y DIRECTION --------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM,

2166


VM-R049-1C 182 Input Listing *VWRITE,LABEL(1),TARGETY(1), VALUE(1,3), VALUE(1,4) (1X,A6,' ',1X,A8,' ',F14.5,' ',F12.3,' ') FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR11X ',' ECR11Y ' *VFILL,VALUE1(1,1),DATA,S6,S6_Y *VFILL,VALUE1(1,2),DATA,R6,R12 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr1c-181' /OUT,vmr049-cr1c-181,vrt /COM /COM,------------------- vmr049-cr1c RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE181 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr1c-181,vrt

VM-R049-1C 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr1c-182 /TITLE,vmr049-cr1c-182,CONSTANT LOAD CREEP BENCHMARK /COM, REFERENCE: TEST CR-1C FROM NAFEMS R0049. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,0.5E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 *SET,C5,1E-16 *SET,C6,5 *SET,C7,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,11 TBDATA,1,C1,C2,C3,C4,C5,C6,C6 SAVE N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 ET,1,182 KEYOPT,1,1,0 KEYOPT,1,3,0 E,1,2,3,4 E,4,3,5,6


2167

NAFEMS Input Listings NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,,,4 D,ALL,UY, NSEL,ALL /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-100 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 SOLVE RATE, ON, ON DELT,100,99,101 TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH

/POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y PRVAR,2,3 PLVAR,2,3 *GET,RES1X,VARI,2,RTIME,1000 *GET,RES1Y,VARI,3,RTIME,1000 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR11X ',' ECR11Y ' *VFILL,VALUE1(1,1),DATA,4.2691,-4.2691 *VFILL,VALUE1(1,1),DATA,RES1X,RES1Y *VFILL,VALUE1(1,2),DATA,ABS(RES1X/0.0041475),ABS(RES1Y/(-0.002074)) *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr1c-182' /OUT,vmr049-cr1c-182,vrt /COM /COM,------------------- vmr049-cr1c RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr1c-182,vrt

VM-R049-1C 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr1c-183 /TITLE,vmr049-cr1c-183,CONSTANT-LOAD CREEP BENCHMARK /COM, REFERENCE: TEST CR-1C FROM NAFEMS R0049. /PREP7

2168


VM-R049-1C 183 Input Listing C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,0.5E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 *SET,C5,1E-16 *SET,C6,5 *SET,C7,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,11 TBDATA,1,C1,C2,C3,C4,C5,C6,C6 SAVE N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 ET,1,183 KEYOPT,1,3,0 E,1,2,3,4,5,6,7,8 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,,,8 D,ALL,UY, NSEL,ALL /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-100 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 SOLVE RATE, ON, ON DELT,100,99,101 TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y PRVAR,2,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN PLVAR,2,3 FINISH /POST1 SET,,,,,,,1 *GET,S1,NODE,3,EPCR,X *GET,S1_Y,NODE,3,EPCR,Y R1=S1/0.100E-7 R7=S1_Y/(-0.500E-8) SET,,,,,,,3 *GET,S2,NODE,3,EPCR,X *GET,S2_Y,NODE,3,EPCR,Y


2169

NAFEMS Input Listings R2=S2/0.1614E-2 R8=S2_Y/(-0.807E-3) SET,,,,,,,5 *GET,S3,NODE,3,EPCR,X *GET,S3_Y,NODE,3,EPCR,Y R3=S3/0.2407E-2 R9=S3_Y/(-0.1203E-2) SET,,,,,,,7 *GET,S4,NODE,3,EPCR,X *GET,S4_Y,NODE,3,EPCR,Y R4=S4/0.3055E-2 R10=S4_Y/(-0.15275E-2) SET,,,,,,,9 *GET,S5,NODE,3,EPCR,X *GET,S5_Y,NODE,3,EPCR,Y R5=S5/0.36339E-2 R11=S5_Y/(-0.18172E-2) SET,,,,,,,11 *GET,S6,NODE,3,EPCR,X *GET,S6_Y,NODE,3,EPCR,Y R6=S6/0.41475E-2 R12=S6_Y/(-0.2074E-2) *DIM,VALUE,,6,4 *DIM,LABEL,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,RATIO,,6,4 LABEL(1) = '0','200','400','600','800','1000' TARGETX(1) = '0.100E-7','0.001614','0.002407','0.003055','0.0036339','0.0041475' TARGETY(1) = '-0.50E-8','-0.000807','-0.001203','-0.001528','-0.001817','-0.002074' *VFILL,VALUE(1,1),DATA,S1,S2,S3,S4,S5,S6 *VFILL,VALUE(1,2),DATA,R1,R2,R3,R4,R5,R6 *VFILL,VALUE(1,3),DATA,S1_Y,S2_Y,S3_Y,S4_Y,S5_Y,S6_Y *VFILL,VALUE(1,4),DATA,R7,R8,R9,R10,R11,R12 /COM /COM /COM,--------- vmr049-cr1c-183 RESULTS COMPARISON----------/COM, /COM, vmr049-cr1c-183.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 100 ,FIGURE 3.7C. THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE /COM, /COM,-------- CREEP COMPONENT IN X DIRECTION --------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),TARGETX(1), VALUE(1,1), VALUE(1,2) (1X,A6,' ',1X,A8,' ',F14.5,' ',F12.3,' ') /COM, /COM,-------- CREEP COMPONENT IN Y DIRECTION --------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),TARGETY(1), VALUE(1,3), VALUE(1,4) (1X,A6,' ',1X,A8,' ',F14.5,' ',F12.3,' ') FINISH /POST26 /COM,ESOL,2,1,,EPCR,X /COM,ESOL,3,1,,EPCR,Y /COM,PRVAR,2,3 /COM,PLVAR,2,3 /COM,*GET,RES1X,VARI,2,RTIME,1000 /COM,*GET,RES1Y,VARI,3,RTIME,1000 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR11X ',' ECR11Y ' *VFILL,VALUE1(1,1),DATA,S6,S6_Y *VFILL,VALUE1(1,2),DATA,R6,R12 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr1c-183'

2170


VM-R049-1C 281 Input Listing

/OUT,vmr049-cr1c-183,vrt /COM /COM,------------------- vmr049-cr1c RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr1c-183,vrt

VM-R049-1C 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr1c-281 /TITLE,vmr049-cr1c-281,CONSTANT-LOAD CREEP BENCHMARK /COM, REFERENCE: TEST CR-1C FROM NAFEMS R0049. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,0.5E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 *SET,C5,1E-16 *SET,C6,5 *SET,C7,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,11 TBDATA,1,C1,C2,C3,C4,C5,C6,C6 SAVE N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 N,7,50,0 N,8,100,25 N,9,50,50 N,10,0,25 N,11,100,75 N,12,50,100 N,13,0,75 ET,1,SHELL281 R,1,1,1,1,1, E,1,2,3,4,7,8,9,10 E,4,3,5,6,9,11,12,13 NSEL,ALL NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,,,4 D,ALL,UY, NSEL,ALL


2171

NAFEMS Input Listings D,ALL,UZ D,ALL,ROTZ FINISH /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-100 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 SOLVE RATE, ON, ON DELT,100,99,101 TIME,1000 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 ESOL,2,1,,EPCR,X ESOL,3,1,,EPCR,Y PRVAR,2,3 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN PLVAR,2,3 FINISH /POST1 SET,,,,,,,1 *GET,S1,NODE,3,EPCR,X *GET,S1_Y,NODE,3,EPCR,Y R1=1.00 R7=1.00 SET,,,,,,,3 *GET,S2,NODE,3,EPCR,X *GET,S2_Y,NODE,3,EPCR,Y R2=S2/0.1614E-2 R8=S2_Y/(-0.807E-3) SET,,,,,,,5 *GET,S3,NODE,3,EPCR,X *GET,S3_Y,NODE,3,EPCR,Y R3=S3/0.2407E-2 R9=S3_Y/(-0.1203E-2) SET,,,,,,,7 *GET,S4,NODE,3,EPCR,X *GET,S4_Y,NODE,3,EPCR,Y R4=S4/0.3055E-2 R10=S4_Y/(-0.15275E-2) SET,,,,,,,9 *GET,S5,NODE,3,EPCR,X *GET,S5_Y,NODE,3,EPCR,Y R5=S5/0.36339E-2 R11=S5_Y/(-0.18172E-2) SET,,,,,,,11 *GET,S6,NODE,3,EPCR,X *GET,S6_Y,NODE,3,EPCR,Y R6=S6/0.41475E-2 R12=S6_Y/(-0.2074E-2) *DIM,VALUE,,6,4 *DIM,LABEL,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,RATIO,,6,4 LABEL(1) = '0','200','400','600','800','1000' TARGETX(1) = '0.100E-7','0.001614','0.002407','0.003055','0.0036339','0.0041475' TARGETY(1) = '-0.50E-8','-0.000807','-0.001203','-0.001528','-0.001817','-0.002074' *VFILL,VALUE(1,1),DATA,S1,S2,S3,S4,S5,S6 *VFILL,VALUE(1,2),DATA,R1,R2,R3,R4,R5,R6 *VFILL,VALUE(1,3),DATA,S1_Y,S2_Y,S3_Y,S4_Y,S5_Y,S6_Y *VFILL,VALUE(1,4),DATA,R7,R8,R9,R10,R11,R12 /COM /COM,--------- vmr049-cr1c-281 RESULTS COMPARISON-----------

2172


VM-R049-2 181 Input Listing /COM, /COM, vmr049-cr1c-281.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 100 ,FIGURE 3.7C. THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE /COM, /COM,-------- CREEP COMPONENT IN X DIRECTION --------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),TARGETX(1), VALUE(1,1), VALUE(1,2) (1X,A6,' ',1X,A8,' ',F14.5,' ',F12.3,' ') /COM, /COM,-------- CREEP COMPONENT IN Y DIRECTION --------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),TARGETY(1), VALUE(1,3), VALUE(1,4) (1X,A6,' ',1X,A8,' ',F14.5,' ',F12.3,' ') FINISH /POST26 *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' ECR11X ',' ECR11Y ' *VFILL,VALUE1(1,1),DATA,S6,S6_Y *VFILL,VALUE1(1,2),DATA,R6,R12 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr1c-281' /OUT,vmr049-cr1c-281,vrt /COM /COM,------------------- vmr049-cr1c RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL281 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr1c-281,vrt

VM-R049-2 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr2-181 /TITLE,vmr049-cr2-181,CONSTANT-DISPLACEMENT CREEP BENCHMARK /COM, REFERENCE: TEST CR-2A FROM NAFEMS REPORT 0049. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (TIME HARDENING)!*** *SET,C1,1.5625E-14 *SET,C2,5.0 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (STRAIN HARDENING)!*** *SET,C1,1.5625E-14


2173

NAFEMS Input Listings *SET,C2,5 *SET,C3,-0.5 MP,EX,2,200E3 MP,NUXY,2,0.3 TB,CREEP,2,,,7 TBDATA,1,C1,C2,C3 SAVE /PREP7 N,1 N,2,100 N,3,100,100 N,4,0,100 ET,1,181,,, R,1,1,1,1,1, E,1,2,3,4 NSEL,ALL D,ALL,UZ, NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,X,100 D,ALL,UX,0.1 NSEL,S,LOC,Y,100 D,ALL,UY,0.1 NSEL,ALL *DO,I,1,2 *STATUS,I /PREP7 *IF,I,EQ,1,THEN MAT,1 *ELSEIF,I,EQ,2,THEN MPCHG,2,ALL *ENDIF FINI /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST

2174


VM-R049-2 181 Input Listing SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH /POST26 *IF,I,EQ,1,THEN /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /GTHK,AXIS,1 /GRTYP,0 /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,DIVX,5 /GROPT,DIVY,6 /XRANGE,0,1000 /YRANGE,0,300 ESOL,2,1,,S,EQV,TIMEHARD PRVAR,2 /COLOR,CURVE,BMAG,1 /AXLAB,X,TIME /AXLAB,Y,STRESS PLVAR,2 /NOERASE /POST1 SET,1,1 *GET,SH1,NODE,3,S,X R1=SH1/285.714 SET,6,19 *GET,SH2,NODE,3,S,X R2=SH2/46.612 SET,6,39 *GET,SH3,NODE,3,S,X R3=SH3/42.206 SET,6,59 *GET,SH4,NODE,3,S,X R4=SH4/39.893 SET,6,79 *GET,SH5,NODE,3,S,X R5=SH5/38.353 SET,6,99 *GET,SH6,NODE,3,S,X R6=SH6/37.211 *DIM,VALUE,,6,3 *DIM,LABEL,CHAR,10 *DIM,TARGET,CHAR,10 *DIM,RATIO,,6,4 LABEL(1) = '0','200.0','400.0','600.0','800.0','1000' TARGET(1) = '285.714','46.612','42.206','39.893','38.353','37.211' *VFILL,VALUE(1,1),DATA,SH1,SH2,SH3,SH4,SH5,SH6 *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6 *ELSEIF,I,EQ,2,THEN ESOL,3,1,,S,EQV,STRAINHA PRVAR,3 /AXLAB,X,TIME /AXLAB,Y,STRESS /YRANGE,0,300 /COLOR,CURVE,BLUE,1


2175

NAFEMS Input Listings PLVAR,3 /POST1 SET,1,1 *GET,SH1_1,NODE,3,S,X R7=SH1_1/285.714 SET,6,19 *GET,SH2_1,NODE,3,S,X R8=SH2_1/62.014 SET,6,39 *GET,SH3_1,NODE,3,S,X R9=SH3_1/57.251 SET,6,59 *GET,SH4_1,NODE,3,S,X R10=SH4_1/54.690 SET,6,79 *GET,SH5_1,NODE,3,S,X R11=SH5_1/52.959 SET,6,99 *GET,SH6_1,NODE,3,S,X R12=SH6_1/51.661 *DIM,VALUE1,,6,3 *DIM,LABEL1,CHAR,10 *DIM,TARGET1,CHAR,10 *DIM,RATIO1,,6,3 LABEL1(1) = '0','200.0','400.0','600.0','800.0','1000' TARGET1(1) = '285.714','62.014','57.251','54.690','52.959','51.661' *VFILL,VALUE1(1,1),DATA,SH1_1,SH2_1,SH3_1,SH4_1,SH5_1,SH6_1 *VFILL,RATIO1(1,1),DATA,R7,R8,R9,R10,R11,R12 /COM /COM,--------- vmr049-cr2-181 STRESS RESULTS COMPARISON (TIME HARDENING)----------/COM, /COM, COMPARE NUMERICAL VALUES LISTED BELOW WITH FIGURE 3.10(A) /COM, ON PAGE 103 AS NO NUMERICAL RESULTS ARE PRESENTED. /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), TARGET(1), VALUE(1,1), RATIO(1,1) (1X,A8,' ',1X,A8,' ',F14.3,' ',1F12.3) /COM, /COM, /COM,--------- vmr049-cr2-181 STRESS RESULTS COMPARISON (STRAIN HARDENING)----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), TARGET1(1), VALUE1(1,1), RATIO1(1,1) (1X,A8,' ',1X,A8,' ',F14.3,' ',1F12.3) *ENDIF *ENDDO FINISH /POST26 *DIM,LABEL2,CHAR,2 *DIM,VALUE2,,2,3 LABEL2(1) = ' S6 ',' S7 ' *VFILL,VALUE2(1,1),DATA,SH6,SH6_1 *VFILL,VALUE2(1,2),DATA,R6,R12 *DIM,LABEL3,CHAR,2 LABEL3(1) = 'vmr049-','cr2-181' /OUT,vmr049-cr2-181,vrt /COM /COM,------------------- vmr049-cr2 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL181 *VWRITE,LABEL2(1),VALUE2(1,1),VALUE2(1,2),LABEL3(1),LABEL3(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL2(2),VALUE2(2,1),VALUE2(2,2),LABEL3(1),LABEL3(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM,

2176


VM-R049-2 182 Input Listing /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr2-181,vrt

VM-R049-2 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr2-182 /TITLE,vmr049-cr2-182,CONSTANT-DISPLACEMENT CREEP BENCHMARK /COM TEST CASE REFERENCED FROM ROO49 NAFEMS MANUAL, /COM TEST CR-2: CONSTANT-DISPLACEMENT CREEP BENCHMARK /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (TIME HARDENING)!*** *SET,C1,1.5625E-14 *SET,C2,5.0 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (STRAIN HARDENING)!*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 MP,EX,2,200E3 MP,NUXY,2,0.3 TB,CREEP,2,,,7 TBDATA,1,C1,C2,C3 N,1 N,2,100 N,3,100,100 N,4,0,100 ET,1,182,1,, E,1,2,3,4 NSEL,ALL NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,X,100 D,ALL,UX,0.1 NSEL,S,LOC,Y,100 D,ALL,UY,0.1 NSEL,ALL *DO,I,1,2 *STATUS,I /PREP7 *IF,I,EQ,1,THEN MAT,1 *ELSEIF,I,EQ,2,THEN MPCHG,2,ALL *ENDIF FINISH /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH


2177

NAFEMS Input Listings OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH /POST26 *IF,I,EQ,1,THEN /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /GTHK,AXIS,1 /GRTYP,0 /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,DIVX,5 /GROPT,DIVY,6 /XRANGE,0,1000 /YRANGE,0,300 ESOL,2,1,,S,EQV,TIMEHARD PRVAR,2 /COLOR,CURVE,BMAG,1 /AXLAB,X,TIME /AXLAB,Y,STRESS PLVAR,2 /POST1 SET,1,1 *GET,SH1,NODE,3,S,X R1=SH1/285.714 SET,6,19 *GET,SH2,NODE,3,S,X R2=SH2/46.612

2178


VM-R049-2 182 Input Listing SET,6,39 *GET,SH3,NODE,3,S,X R3=SH3/42.206 SET,6,59 *GET,SH4,NODE,3,S,X R4=SH4/39.893 SET,6,79 *GET,SH5,NODE,3,S,X R5=SH5/38.353 SET,6,99 *GET,SH6,NODE,3,S,X R6=SH6/37.211 *DIM,VALUE1,,6,3 *DIM,VALUE2,,6,3 *DIM,LABEL,CHAR,10 *DIM,TARGET,CHAR,10 LABEL(1) = '0','200', '400', '600', '800', '1000' TARGET(1) = '285.714','46.612','42.206','39.353','38.353','37.211' *VFILL,VALUE1(1,1),DATA,SH1,SH2,SH3,SH4,SH5,SH6 *VFILL,VALUE2(1,1),DATA,R1,R2,R3,R4,R5,R6 *ELSEIF,I,EQ,2,THEN /NOERASE /GROPT,DIVX,5 /GROPT,DIVY,6 /XRANGE,0,1000 /YRANGE,0,300 ESOL,3,1,,S,EQV,STRAINHARDENING PRVAR,3 /COLOR,CURVE,GREE,1 /AXLAB,X,TIME /AXLAB,Y,STRESS PLVAR,3 /POST1 SET,1,1 *GET,S1,NODE,3,S,X R10=S1/285.714 SET,6,19 *GET,S2,NODE,3,S,X R11=S2/62.014 SET,6,39 *GET,S3,NODE,3,S,X R12=S3/57.251 SET,6,59 *GET,S4,NODE,3,S,X R13=S4/54.690 SET,6,79 *GET,S5,NODE,3,S,X R14=S5/52.959 SET,6,99 *GET,S6,NODE,3,S,X R15=S6/51.661 *DIM,VALUE3,,6,3 *DIM,VALUE4,,6,3 *DIM,LABEL2,CHAR,10 *DIM,TARGET2,CHAR,10 LABEL2(1) = '0','200', '400', '600', '800', '1000' TARGET2(1) = '285.714','62.014','57.251','54.690','52.959','51.661' *VFILL,VALUE3(1,1),DATA,S1,S2,S3,S4,S5,S6 *VFILL,VALUE4(1,1),DATA,R10,R11,R12,R13,R14,R15 /COM /COM /COM,--------- vmr049-cr2-182 TIME HARDENING COMPARISON ----------/COM, /COM COMPARE NUMERICAL VALUES LISTED /COM BELOW WITH GRAPH OF FIGURE /COM 3.10A ON PAGE 103 AS NO NUMERICAL /COM RESULTS ARE PRESENTED. /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO | /COM,


2179

NAFEMS Input Listings *VWRITE,LABEL(1),TARGET(1),VALUE1(1,1),VALUE2(1,1) (1X,A8,' ',1X,A8,' ',F14.3,' ',1F12.3,' ') /COM, /COM, /COM,--------- vmr049-cr2-182 STRAIN HARDENING COMPARISON --------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO | /COM, *VWRITE,LABEL2(1),TARGET2(1), VALUE3(1,1), VALUE4(1,1) (1X,A8,' ',1X,A8,' ',F14.3,' ',1F12.3,' ') *ENDIF *ENDDO FINISH /POST26 *DIM,LABEL3,CHAR,2 *DIM,VALUE5,,2,3 LABEL3(1) = ' S6 ',' S7 ' *VFILL,VALUE5(1,1),DATA,SH6,S6 *VFILL,VALUE5(1,2),DATA,R6,R15 *DIM,LABEL4,CHAR,2 LABEL4(1) = 'vmr049-','cr2-182' /OUT,vmr049-cr2-182,vrt /COM /COM,------------------- vmr049-cr2 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 *VWRITE,LABEL3(1),VALUE5(1,1),VALUE5(1,2),LABEL4(1),LABEL4(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL3(2),VALUE5(2,1),VALUE5(2,2),LABEL4(1),LABEL4(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr2-182,vrt

VM-R049-2 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr2-183 /TITLE,vmr049-cr2-183,CONSTANT-DISPLACEMENT CREEP BENCHMARK /COM, REFERENCE: TEST CR-2A FROM NAFEMS REPORT 0049. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (TIME HARDENING)!*** *SET,C1,1.5625E-14 *SET,C2,5.0 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (STRAIN HARDENING)!*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 MP,EX,2,200E3

2180


VM-R049-2 183 Input Listing MP,NUXY,2,0.3 TB,CREEP,2,,,7 TBDATA,1,C1,C2,C3 SAVE N,1 N,2,100 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 ET,1,183,,, E,1,2,3,4,5,6,7,8 NSEL,ALL NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,X,100 D,ALL,UX,0.1 NSEL,S,LOC,Y,100 D,ALL,UY,0.1 NSEL,ALL *DO,I,1,2 *STATUS,I /PREP7 *IF,I,EQ,1,THEN MAT,1 *ELSEIF,I,EQ,2,THEN MPCHG,2,ALL *ENDIF FINI /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT


2181

NAFEMS Input Listings RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME, 1000 /OUT,SCRATCH OUTRES,ALL,ALL OUTPR,ALL,LAST SOLVE /OUT FINISH /POST26 *IF,I,EQ,1,THEN ESOL,2,1,,S,EQV,TIMEHARD PRVAR,2 /AXLAB,X,TIME /AXLAB,Y,STRESS /YRANGE,0,400 PLVAR,2 /NOERASE /POST1 SET,1,1 *GET,SH1,NODE,3,S,X R1=SH1/285.714 SET,6,19 *GET,SH2,NODE,3,S,X R2=SH2/46.612 SET,6,39 *GET,SH3,NODE,3,S,X R3=SH3/42.206 SET,6,59 *GET,SH4,NODE,3,S,X R4=SH4/39.893 SET,6,79 *GET,SH5,NODE,3,S,X R5=SH5/38.353 SET,6,99 *GET,SH6,NODE,3,S,X R6=SH6/37.211 *DIM,VALUE,,6,3 *DIM,LABEL,CHAR,10 *DIM,TARGET,CHAR,10 *DIM,RATIO,,6,4 LABEL(1) = '0','200.0','400.0','600.0','800.0','1000' TARGET(1) = '285.714','46.612','42.206','39.893','38.353','37.211' *VFILL,VALUE(1,1),DATA,SH1,SH2,SH3,SH4,SH5,SH6 *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6 *ELSEIF,I,EQ,2,THEN ESOL,3,1,,S,EQV,STRAINHA PRVAR,3 /AXLAB,X,TIME /AXLAB,Y,STRESS /COLOR,CURVE,BLUE,1 /YRANGE,0,400 PLVAR,3 /POST1 SET,1,1 *GET,SH1_1,NODE,3,S,X R7=SH1_1/285.714 SET,6,19 *GET,SH2_1,NODE,3,S,X R8=SH2_1/62.014 SET,6,39 *GET,SH3_1,NODE,3,S,X R9=SH3_1/57.251 SET,6,59 *GET,SH4_1,NODE,3,S,X R10=SH4_1/54.690 SET,6,79

2182


VM-R049-2 185 Input Listing *GET,SH5_1,NODE,3,S,X R11=SH5_1/52.959 SET,6,99 *GET,SH6_1,NODE,3,S,X R12=SH6_1/51.661 *DIM,VALUE1,,6,3 *DIM,LABEL1,CHAR,10 *DIM,TARGET1,CHAR,10 *DIM,RATIO1,,6,3 LABEL1(1) = '0','200.0','400.0','600.0','800.0','1000' TARGET1(1) = '285.714','62.014','57.251','54.690','52.959','51.661' *VFILL,VALUE1(1,1),DATA,SH1_1,SH2_1,SH3_1,SH4_1,SH5_1,SH6_1 *VFILL,RATIO1(1,1),DATA,R7,R8,R9,R10,R11,R12 /COM /COM,--------- vmr049-cr2-183 STRESS RESULTS COMPARISON (TIME HARDENING)----------/COM, /COM, COMPARE NUMERICAL VALUES LISTED BELOW WITH FIGURE 3.10(A) /COM, ON PAGE 103 AS NO NUMERICAL RESULTS ARE PRESENTED. /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), TARGET(1), VALUE(1,1), RATIO(1,1) (1X,A8,' ',1X,A8,' ',F14.3,' ',1F12.3) /COM, /COM, /COM,--------- vmr049-cr2-183 STRESS RESULTS COMPARISON (STRAIN HARDENING)----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), TARGET1(1), VALUE1(1,1), RATIO1(1,1) (1X,A8,' ',1X,A8,' ',F14.3,' ',1F12.3) *ENDIF *ENDDO FINISH

/POST26 *DIM,LABEL3,CHAR,2 *DIM,VALUE2,,2,3 LABEL3(1) = ' S6 ',' S7 ' *VFILL,VALUE2(1,1),DATA,SH6,SH6_1 *VFILL,VALUE2(1,2),DATA,R6,R12 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr2-183' /OUT,vmr049-cr2-183,vrt /COM /COM,------------------- vmr049-cr2 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 *VWRITE,LABEL3(1),VALUE2(1,1),VALUE2(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.3,' ',F9.4,' ',A7,A8) *VWRITE,LABEL3(2),VALUE2(2,1),VALUE2(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.3,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr2-183,vrt

VM-R049-2 185 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr2-185 /TITLE,vmr049-cr2-185,CONSTANT-DISPLACEMENT CREEP BENCHMARK


2183

NAFEMS Input Listings /COM,REFERENCE: COMPARISON IS MADE GRAPHICLY WITH THE SOLUTION /COM,OF THE TEST CR-2C FROM THE NAFEMS REPORT /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS *SET,C1,3.125E-14 *SET,C2,5.0 *SET,C3,0.0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,0.2000E+06 MP,EY,1,0.2000E+06 MP,EZ,1,0.2000E+06 MP,GXY,1,0.7692E+05 MP,GYZ,1,0.7692E+05 MP,GXZ,1,0.7692E+05 MP,NUXY,1,0.3000E+00 MP,NUYZ,1,0.3000E+00 MP,NUXZ,1,0.3000E+00 MP,DENS,1,0.0000E+00 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 ET,1,SOLID185 KEYOPT,1,1,0 KEYOPT,1,2,0 KEYOPT,1,4,0 KEYOPT,1,5,0 KEYOPT,1,6,0 BLOCK,0,100,0,100,0,100, ESIZE,50 VMESH,1 NSEL,ALL NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Z,100 D,ALL,UZ NSEL,S,LOC,X,100 D,ALL,UX,0.3 NSEL,S,LOC,Y,100 D,ALL,UY,0.2 NSEL,S,LOC,Z D,ALL,UZ,-0.1 NSEL,ALL FINISH /SOLU RATE, OFF SOLCONTROL,ON DELT,1.0E-10,1E-11,1E-9 TIME, 1.0E-10 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT /SOLU RATE, ON, ON SOLCONTROL,ON DELT,1E-1,1E-1,100 TIME, 1000 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH

2184


VM-R049-2 185 Input Listing /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,TIME /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /GROPT,ASCAL,ON /GROPT,AXDV,ON /GROPT,AXNM,ON /GROPT,AXNSC,ON /GROPT,DIG1,5 /GROPT,DIG2,3 ESOL,2,1,,S,X ESOL,3,1,,S,Y ESOL,4,1,,S,Z PRVAR,2,3,4 PLVAR,2,3,4 /POST1 SET,,,,,,,1 *GET,S1,NODE,4,S,X R1=S1/1153.846 SET,,,,,,,14 *GET,S2,NODE,4,S,X R2=S2/1016.393 SET,,,,,,,16 *GET,S3,NODE,4,S,X R3=S3/1013.616 SET,,,,,,,18 *GET,S4,NODE,4,S,X R4=S4/1011.562 SET,,,,,,,20 *GET,S5,NODE,4,S,X R5=S5/1009.958 SET,,,,,,,22 *GET,S6,NODE,4,S,X R6=S6/1009.05 *DIM,VALUE,,6,4 *DIM,RATIO,,6,4 *DIM,LABEL,CHAR,10 *DIM,TARGET,CHAR,10 LABEL(1) = '0','200','400','600','800','1000' TARGET(1) = '1153.846','1016.393','1013.616','1011.562','1009.958','1009.05' *VFILL,VALUE(1,1),DATA,S1,S2,S3,S4,S5,S6 *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6 SET,,,,,,,1 *GET,S1_Y,NODE,4,S,Y R7=S1_Y/1000.000 SET,,,,,,,14 *GET,S2_Y,NODE,4,S,Y R8=S2_Y/1000.000 SET,,,,,,,16 *GET,S3_Y,NODE,4,S,Y R9=S3_Y/1000.000 SET,,,,,,,18 *GET,S4_Y,NODE,4,S,Y R10=S4_Y/1000.000 SET,,,,,,,20 *GET,S5_Y,NODE,4,S,Y R11=S5_Y/1000.000 SET,,,,,,,22 *GET,S6_Y,NODE,4,S,Y R12=S6_Y/1000.000 *DIM,TARGET2,CHAR,10 *VFILL,VALUE(1,2),DATA,S1_Y,S2_Y,S3_Y,S4_Y,S5_Y,S6_Y *VFILL,RATIO(1,2),DATA,R7,R8,R9,R10,R11,R12 TARGET2(1)='1000.000','1000.000','1000.000','1000.000','1000.000','1000.000'


2185

NAFEMS Input Listings SET,,,,,,,1 *GET,S1_Z,NODE,4,S,Z R13=S1_Z/846.154 SET,,,,,,,14 *GET,S2_Z,NODE,4,S,Z R14=S2_Z/983.608 SET,,,,,,,16 *GET,S3_Z,NODE,4,S,Z R15=S3_Z/985.942 SET,,,,,,,18 *GET,S4_Z,NODE,4,S,Z R16=S4_Z/988.439 SET,,,,,,,20 *GET,S5_Z,NODE,4,S,Z R17=S5_Z/990.043 SET,,,,,,,22 *GET,S6_Z,NODE,4,S,Z R18=S6_Z/990.950 *DIM,TARGET3,CHAR,10 *VFILL,VALUE(1,3),DATA,S1_Z,S2_Z,S3_Z,S4_Z,S5_Z,S6_Z *VFILL,RATIO(1,3),DATA,R13,R14,R15,R16,R17,R18 TARGET3(1)='846.154','983.608','985.942','988.439','990.043','990.950' /COM /COM---------- VMR049-CR2-185 RESULTS COMPARISON ------------/COM /COM COMPARE NUMERICAL VALUES LISTED /COM BELOW WITH GRAPH OF FIGURE /COM 3.10C ON PAGE 103 AS NO NUMERICAL /COM,RESULTS ARE PRESENTED /COM /COM /COM,--------- VMR049-CR2-185 STRESS RESULTS IN X DIRECTION ----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), TARGET(1), VALUE(1,1), RATIO(1,1) (1X,A8,' ',1X,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM,--------- VMR049-CR2-185 RESULTS IN Y DIRECTION ----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), TARGET2(1), VALUE(1,2), RATIO(1,2) (1X,A8,' ',1X,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM,--------- VMR049-CR2-185 STRESS RESULTS IN Z DIRECTION ----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), TARGET3(1), VALUE(1,3), RATIO(1,3) (1X,A8,' ',1X,A8,' ',F14.3,' ',F12.3,' ') FINISH /POST26 *DIM,LABEL1,CHAR,3 *DIM,VALUE1,,3,3 LABEL1(1) = ' S6X ',' S6Y ',' S6Z' *VFILL,VALUE1(1,1),DATA,S6,S6_Y,S6_Z *VFILL,VALUE1(1,2),DATA,R6,R12,R18 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr2-185' /OUT,vmr049-cr2-185,vrt /COM /COM,------------------- vmr049-cr2 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SOLID185 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.3,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2)

2186


VM-R049-2 187 Input Listing (1X,A8,' ',F14.3,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.3,' ',F10.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr2-185,vrt

VM-R049-2 187 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr2-187 /TITLE,vmr049-cr2-187,CONSTANT-DISPLACEMENT CREEP BENCHMARK /COM,REFERENCE:COMPARISON IS MADE GRAPHICLY WITH THE SOLUTION OF /COM THE TEST CR-2C FROM THE NAFEMS REPORT ROO49 /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS !*** *SET,C1,3.125E-14 *SET,C2,5.0 *SET,C3,0.0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,0.2000E+06 MP,EY,1,0.2000E+06 MP,EZ,1,0.2000E+06 MP,GXY,1,0.7692E+05 MP,GYZ,1,0.7692E+05 MP,GXZ,1,0.7692E+05 MP,NUXY,1,0.3000E+00 MP,NUYZ,1,0.3000E+00 MP,NUXZ,1,0.3000E+00 MP,DENS,1,0.0000E+00 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 ET,1,SOLID187 BLOCK,0,100,0,100,0,100, /VIEW, 1 ,1,1,1 /ANG, 1 ESIZE,100 VMESH,1 NSEL,ALL NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Z,100 D,ALL,UZ NSEL,S,LOC,X,100 D,ALL,UX,0.3 NSEL,S,LOC,Y,100 D,ALL,UY,0.2 NSEL,S,LOC,Z D,ALL,UZ,-0.1 NSEL,ALL FINISH /SOLU RATE, OFF SOLCONTROL,ON DELT,1.0E-10,1E-11,1E-9


2187

NAFEMS Input Listings TIME, 1.0E-10 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT /SOLU RATE, ON, ON SOLCONTROL,ON DELT,1,1,100 TIME, 1000 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,TIME /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /GROPT,ASCAL,ON /GROPT,AXDV,ON /GROPT,AXNM,ON /GROPT,AXNSC,ON /GROPT,DIG1,5 /GROPT,DIG2,3 ESOL,2,1,,S,X ESOL,3,1,,S,Y ESOL,4,1,,S,Z PRVAR,2,3,4 PLVAR,2,3,4 FINISH /POST1 SET,,,,,,,1 *GET,S1,NODE,4,S,X R1=S1/1153.846 SET,,,,,,,14 *GET,S2,NODE,4,S,X R2=S2/1016.393 SET,,,,,,,16 *GET,S3,NODE,4,S,X R3=S3/1013.616 SET,,,,,,,18 *GET,S4,NODE,4,S,X R4=S4/1011.562 SET,,,,,,,20 *GET,S5,NODE,4,S,X R5=S5/1009.957 SET,,,,,,,22 *GET,S6,NODE,4,S,X R6=S6/1009.05 *DIM,VALUE,,6,4 *DIM,TARGET,CHAR,10 *DIM,RATIO,,6,4 *DIM,LABEL,CHAR,10 LABEL(1) = '0','200','400','600','800','1000' TARGET(1) ='1153.846','1016.393','1013.616','1011.562','1009.957','1009.05' *VFILL,VALUE(1,1),DATA,S1,S2,S3,S4,S5,S6 *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6 SET,,,,,,,1 *GET,S1_Y,NODE,4,S,Y R7=S1_Y/1000.000 SET,,,,,,,14

2188


VM-R049-2 187 Input Listing *GET,S2_Y,NODE,4,S,Y R8=S2_Y/1000.000 SET,,,,,,,16 *GET,S3_Y,NODE,4,S,Y R9=S3_Y/1000.000 SET,,,,,,,18 *GET,S4_Y,NODE,4,S,Y R10=S4_Y/1000.000 SET,,,,,,,20 *GET,S5_Y,NODE,4,S,Y R11=S5_Y/1000.000 SET,,,,,,,22 *GET,S6_Y,NODE,4,S,Y R12=S6_Y/1000.000 *VFILL,VALUE(1,2),DATA,S1_Y,S2_Y,S3_Y,S4_Y,S5_Y,S6_Y *VFILL,RATIO(1,2),DATA,R6,R7,R8,R9,R10,R11,R12 *DIM,TARGET2,CHAR,10 TARGET2(1)='1000.000','1000.000','1000.000','1000.000','1000.000','1000.000' SET,,,,,,,1 *GET,S1_Z,NODE,4,S,Z R13=S1_Z/846.154 SET,,,,,,,14 *GET,S2_Z,NODE,4,S,Z R14=S2_Z/983.608 SET,,,,,,,16 *GET,S3_Z,NODE,4,S,Z R15=S3_Z/985.942 SET,,,,,,,18 *GET,S4_Z,NODE,4,S,Z R16=S4_Z/988.439 SET,,,,,,,20 *GET,S5_Z,NODE,4,S,Z R17=S5_Z/990.043 SET,,,,,,,22 *GET,S6_Z,NODE,4,S,Z R18=S6_Z/990.95 *DIM,TARGET3,CHAR,10 *VFILL,VALUE(1,3),DATA,S1_Z,S2_Z,S3_Z,S4_Z,S5_Z,S6_Z *VFILL,RATIO(1,3),DATA,R13,R14,R15,R16,R17,R18 TARGET3(1)='846.154','983.608','985.942','988.439','990.043','990.95' /COM /COM NAFEMS RESULTS /COM COMPARE NUMERICAL VALUES LISTED /COM BELOW WITH GRAPH OF FIGURE /COM 3.10C ON PAGE 103 AS NO NUMERICAL RESULTS /COM ARE PRESENTED /COM /COM,--------- vmr049-cr2-187 STRESS RESULTS IN X DIRECTION ----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), TARGET(1), VALUE(1,1), RATIO(1,3) (1X,A8,' ',1X,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM,--------- vmr049-cr2-187 STRESS RESULTS IN Y DIRECTION ----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), TARGET2(1), VALUE(1,2), RATIO(1,3) (1X,A8,' ',1X,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM,--------- vmr049-cr2-187 STRESS RESULTS IN Z DIRECTION ----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), TARGET3(1), VALUE(1,3), RATIO(1,3) (1X,A8,' ',1X,A8,' ',F14.3,' ',F12.3,' ') FINISH

/POST26 *DIM,LABEL1,CHAR,3


2189

NAFEMS Input Listings *DIM,VALUE1,,3,3 LABEL1(1) = ' S6X ',' S6Y ',' S6Z ' *GET,S6,NODE,4,S,X *GET,S6_Y,NODE,4,S,Y *VFILL,VALUE1(1,1),DATA,S6,S6_Y,S6_Z *VFILL,VALUE1(1,2),DATA,R6,R12,R18 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr2-187' /OUT,vmr049-cr2-187,vrt /COM /COM,------------------- vmr049-cr2 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SOLID187 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.3,' ',F10.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.3,' ',F10.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.3,' ',F10.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr2-187,vrt

VM-R049-2 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr2-281 /TITLE,vmr049-cr2-281,CONSTANT-DISPLACEMENT CREEP BENCHMARK /COM, REFERENCE: TEST CR-2A FROM NAFEMS REPORT 0049. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (TIME HARDENING)!*** *SET,C1,1.5625E-14 *SET,C2,5.0 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,1000 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS (STRAIN HARDENING)!*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 MP,EX,2,200E3 MP,NUXY,2,0.3 TB,CREEP,2,,,7 TBDATA,1,C1,C2,C3 SAVE /PREP7 N,1 N,2,100 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100

2190


VM-R049-2 281 Input Listing N,8,0,50 ET,1,SHELL281,,, R,1,1,1,1,1, E,1,2,3,4,5,6,7,8 NSEL,ALL D,ALL,UZ, NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,ALL D,8,ROTY,0 NSEL,S,LOC,X,100 D,ALL,UX,0.1 NSEL,S,LOC,Y,100 D,ALL,UY,0.1 NSEL,ALL *DO,I,1,2 *STATUS,I /PREP7 *IF,I,EQ,1,THEN MAT,1 *ELSEIF,I,EQ,2,THEN MPCHG,2,ALL *ENDIF FINI /SOLU RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,0.10,0.099,0.10 TIME, 0.10 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,1.0,0.99,1.0 TIME, 1.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,5.0,4.99,5.0 TIME, 5.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON DELT,10.0,9.99,10.0 TIME, 10.0 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,10,1,100 AUTOS,OFF TIME,1000 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH /POST26


2191

NAFEMS Input Listings *IF,I,EQ,1,THEN /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /GTHK,AXIS,1 /GRTYP,0 /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,DIVX,5 /GROPT,DIVY,6 /XRANGE,0,1000 /YRANGE,0,300 ESOL,2,1,,S,EQV,TIMEHARD PRVAR,2 /COLOR,CURVE,BMAG,1 /AXLAB,X,TIME /AXLAB,Y,STRESS PLVAR,2 /NOERASE /POST1 SET,1,1 *GET,SH1,NODE,3,S,X R1=SH1/285.714 SET,6,19 *GET,SH2,NODE,3,S,X R2=SH2/46.612 SET,6,39 *GET,SH3,NODE,3,S,X R3=SH3/42.206 SET,6,59 *GET,SH4,NODE,3,S,X R4=SH4/39.893 SET,6,79 *GET,SH5,NODE,3,S,X R5=SH5/38.353 SET,6,99 *GET,SH6,NODE,3,S,X R6=SH6/37.211 *DIM,VALUE,,6,3 *DIM,LABEL,CHAR,10 *DIM,TARGET,CHAR,10 *DIM,RATIO,,6,4 LABEL(1) = '0','200.0','400.0','600.0','800.0','1000' TARGET(1) = '285.714','46.612','42.206','39.893','38.353','37.211' *VFILL,VALUE(1,1),DATA,SH1,SH2,SH3,SH4,SH5,SH6 *VFILL,RATIO(1,1),DATA,R1,R2,R3,R4,R5,R6 *ELSEIF,I,EQ,2,THEN ESOL,3,1,,S,EQV,STRAINHA PRVAR,3 /AXLAB,X,TIME /AXLAB,Y,STRESS /YRANGE,0,300 /COLOR,CURVE,BLUE,1 PLVAR,3 /POST1 SET,1,1 *GET,SH1_1,NODE,3,S,X R7=SH1_1/285.714 SET,6,19 *GET,SH2_1,NODE,3,S,X R8=SH2_1/62.014 SET,6,39 *GET,SH3_1,NODE,3,S,X R9=SH3_1/57.251 SET,6,59 *GET,SH4_1,NODE,3,S,X R10=SH4_1/54.690 SET,6,79 *GET,SH5_1,NODE,3,S,X

2192


VM-R049-3 181 Input Listing R11=SH5_1/52.959 SET,6,99 *GET,SH6_1,NODE,3,S,X R12=SH6_1/51.661 *DIM,VALUE1,,6,3 *DIM,LABEL1,CHAR,10 *DIM,TARGET1,CHAR,10 *DIM,RATIO1,,6,3 LABEL1(1) = '0','200.0','400.0','600.0','800.0','1000' TARGET1(1) = '285.714','62.014','57.251','54.690','52.959','51.661' *VFILL,VALUE1(1,1),DATA,SH1_1,SH2_1,SH3_1,SH4_1,SH5_1,SH6_1 *VFILL,RATIO1(1,1),DATA,R7,R8,R9,R10,R11,R12 /COM /COM,--------- vmr049-cr2-281 STRESS RESULTS COMPARISON (TIME HARDENING)----------/COM, /COM, COMPARE NUMERICAL VALUES LISTED BELOW WITH FIGURE 3.10(A) /COM, ON PAGE 103 AS NO NUMERICAL RESULTS ARE PRESENTED. /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), TARGET(1), VALUE(1,1), RATIO(1,1) (1X,A8,' ',1X,A8,' ',F14.3,' ',1F12.3) /COM, /COM, /COM,--------- vmr049-cr2-281 STRESS RESULTS COMPARISON (STRAIN HARDENING)----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1), TARGET1(1), VALUE1(1,1), RATIO1(1,1) (1X,A8,' ',1X,A8,' ',F14.3,' ',1F12.3) *ENDIF *ENDDO FINISH /POST26 *DIM,LABEL2,CHAR,2 *DIM,VALUE2,,2,3 LABEL2(1) = ' S6 ',' S7 ' *VFILL,VALUE2(1,1),DATA,SH6,SH6_1 *VFILL,VALUE2(1,2),DATA,R6,R12 *DIM,LABEL3,CHAR,2 LABEL3(1) = 'vmr049-','cr2-281' /OUT,vmr049-cr2-281,vrt /COM /COM,------------------- vmr049-cr2 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL281 *VWRITE,LABEL2(1),VALUE2(1,1),VALUE2(1,2),LABEL3(1),LABEL3(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL2(2),VALUE2(2,1),VALUE2(2,2),LABEL3(1),LABEL3(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr2-281,vrt

VM-R049-3 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr3-181 /TITLE,vmr049-cr3-181,VARIABLE-LOAD UNIAXIAL CREEP BENCHMARK /COM,THE COMPARISON IS MADE GRAPHICALLY WITH THE RESULTS OF THE /COM,TEST CR-3A FROM NAFEMS REPORT. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)***


2193

NAFEMS Input Listings *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(STRAIN HARDENING)*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** ELASTIC CONSTANT MP,EX,2,200E3 MP,NUXY,2,0.3 TB,CREEP,2,,,7 TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 ET,1,181,,, R,1,1,1,1,1, E,1,2,3,4 E,4,3,5,6 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,,,4 D,ALL,UY, NSEL,ALL D,ALL,UZ D,ALL,ROTX D,ALL,ROTY D,ALL,ROTZ *DO,I,1,2 *STATUS,I /PREP7 *IF,I,EQ,1,THEN MAT,1 *ELSEIF,I,EQ,2,THEN MPCHG,2,ALL *ENDIF FINISH /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,1E-2,1E-2,1 TIME,100 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE

2194


VM-R049-3 181 Input Listing /OUT /SOLU SFDELE,ALL,ALL NSEL,S,LOC,X,100 SF,ALL,PRES,-250 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME,100.00000001 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,1,1,10 TIME,200 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH *IF,I,EQ,1,THEN /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /GTHK,AXIS,1 /GRTYP,0 /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,DIVX,4 /GROPT,DIVY,7 /XRANGE,0,200 /YRANGE,0,0.35 ESOL,2,1,,EPCR,X,TIMEHARDENING /COLOR,CURVE,GREE,1 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN (XX) PLVAR,2 PRVAR,2 /POST1 SET,,,,,,,1 *GET,S1,NODE,3,EPCR,X R1=1.000 SET,,,,,,,62 *GET,S2,NODE,3,EPCR,X R2=S2/0.068 SET,,,,,,,112 *GET,S3,NODE,3,EPCR,X R3=S3/0.097 SET,,,,,,,123 *GET,S4,NODE,3,EPCR,X R4=S4/0.166 SET,,,,,,,128 *GET,S5,NODE,3,EPCR,X R5=S5/0.221 *DIM,VALUE,,5,3 *DIM,VALUE2,,5,3 *DIM,LABEL,CHAR,10 *DIM,TARGET,CHAR,10 LABEL(1) = '0','50','100','150','200' TARGET(1) = '0.000','0.068','0.097','0.166','0.221' *VFILL,VALUE(1,1),DATA,S1,S2,S3,S4,S5 *VFILL,VALUE2(1,1),DATA,R1,R2,R3,R4,R5 *ELSEIF,I,EQ,2,THEN


2195

NAFEMS Input Listings /POST26 /NOERASE /AXLAB,X, /AXLAB,Y, /GROPT,DIVX,4 /GROPT,DIVY,7 /XRANGE,0,200 /YRANGE,0,0.35 ESOL,3,1,,EPCR,X,STRAINHARDENING /COLOR,CURVE,BMAG,1 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN (XX) PLVAR,3 PRVAR,3 /POST1 SET,,,,,,,1 *GET,S1_2,NODE,3,EPCR,X R6=1.000 SET,,,,,,,62 *GET,S2_2,NODE,3,EPCR,X R7=S2_2/0.070 SET,,,,,,,112 *GET,S3_2,NODE,3,EPCR,X R8=S3_2/0.099 SET,,,,,,,123 *GET,S4_2,NODE,3,EPCR,X R9=S4_2/0.236 SET,,,,,,,128 *GET,S5_2,NODE,3,EPCR,X R10=S5_2/0.315 *DIM,VALUE3,,5,3 *DIM,VALUE4,,5,3 *DIM,LABEL2,CHAR,10 *DIM,TARGET2,CHAR,10 *VFILL,VALUE3(1,1),DATA,S1_2,S2_2,S3_2,S4_2,S5_2 *VFILL,VALUE4(1,1),DATA,R6,R7,R8,R9,R10 LABEL2(1) = '0','50','100','150','200' TARGET2(1) = '0.000','0.070','0.099','0.236','0.315' *ENDIF FINISH *ENDDO /COM /COM /COM /COM,--------- vmr049-cr3-181 TIME HARDENING COMPARISON----------/COM /COM COMPARE NUMERICAL VALUES LISTED /COM BELOW WITH GRAPH OF FIGURE 3.12A ON /COM PAGE 105 AS NO NUMERICAL RESULTS ARE /COM PRESENTED. /COM /COM,| TIME | TARGET | Mechanical APDL | RATIO | /COM, *VWRITE,LABEL(1),TARGET(1),VALUE(1,1),VALUE2(1,1) (1X,A6,' ',1X,A6,' ',F14.3,' ',1F12.3,' ') /COM /COM /COM,--------- vmr049-cr3-181 STRAIN HARDENING COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO | /COM, *VWRITE,LABEL2(1),TARGET2(1),VALUE3(1,1),VALUE4(1,1) (1X,A6,' ',1X,A6,' ',F14.3,' ',1F12.3,' ') FINISH /POST26 *DIM,LABEL3,CHAR,2 *DIM,VALUE5,,2,3 LABEL3(1) = ' S2 ',' S7 ' *VFILL,VALUE5(1,1),DATA,S5,S5_2 *VFILL,VALUE5(1,2),DATA,R5,R10

2196


VM-R049-3 182 Input Listing *DIM,LABEL4,CHAR,2 LABEL4(1) = 'vmr049-','cr3-181' /OUT,vmr049-cr3-181,vrt /COM /COM,------------------- vmr049-cr3 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL181 *VWRITE,LABEL3(1),VALUE5(1,1),VALUE5(1,2),LABEL4(1),LABEL4(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL3(2),VALUE5(2,1),VALUE5(2,2),LABEL4(1),LABEL4(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr3-181,vrt

VM-R049-3 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr3-182 /TITLE,vmr049-cr3-182,VARIABLE-LOAD UNIAXIAL CREEP BENCHMARK /COM,THE COMPARISON IS MADE GRAPHICALLY WITH THE RESULTS OF THE TEST CR-3A /COM,FROM NAFEMS REPORT R0049. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(STRAIN HARDENING)*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** ELASTIC CONSTANT MP,EX,2,200E3 MP,NUXY,2,0.3 TB,CREEP,2,,,7 TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 ET,1,182 KEYOPT,1,1,1 KEYOPT,1,3,0 E,1,2,3,4 E,4,3,5,6 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL


2197

NAFEMS Input Listings NSEL,S,,,4 D,ALL,UY, NSEL,ALL *DO,I,1,2 *STATUS,I /PREP7 *IF,I,EQ,1,THEN MAT,1 *ELSEIF,I,EQ,2,THEN MPCHG,2,ALL *ENDIF FINISH /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,1E-2,1E-2,1 TIME,100 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT /SOLU SFDELE,ALL,ALL NSEL,S,LOC,X,100 SF,ALL,PRES,-250 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME,100.00000001 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,1,1,10 TIME,200 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH *IF,I,EQ,1,THEN /POST1 SET,,,,,,,1 *GET,S1,NODE,3,EPCR,X R1=1.000 SET,,,,,,,62 *GET,S2,NODE,3,EPCR,X R2=S2/0.068 SET,,,,,,,112 *GET,S3,NODE,3,EPCR,X R3=S3/0.097 SET,,,,,,,123 *GET,S4,NODE,3,EPCR,X R4=S4/0.166 SET,,,,,,,128 *GET,S5,NODE,3,EPCR,X R5=S5/0.221

2198


VM-R049-3 182 Input Listing *DIM,VALUE,,5,3 *DIM,VALUE2,,5,3 *DIM,LABEL,CHAR,10 *DIM,TARGET,CHAR,10 LABEL(1) = '0','50','100','150','200' TARGET(1) = '0.000','0.068','0.097','0.166','0.221' *VFILL,VALUE(1,1),DATA,S1,S2,S3,S4,S5 *VFILL,VALUE2(1,1),DATA,R1,R2,R3,R4,R5 /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /GTHK,AXIS,1 /GRTYP,0 /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,DIVX,4 /GROPT,DIVY,7 /XRANGE,0,200 /YRANGE,0,0.35 ESOL,2,1,,EPCR,X,TIMEHARDENING PRVAR,2 /COLOR,CURVE,GREE,1 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN(XX) PLVAR,2 *ELSEIF,I,EQ,2,THEN /POST1 SET,,,,,,,1 *GET,S1_2,NODE,3,EPCR,X R6=1.000 SET,,,,,,,62 *GET,S2_2,NODE,3,EPCR,X R7=S2_2/0.070 SET,,,,,,,112 *GET,S3_2,NODE,3,EPCR,X R8=S3_2/0.099 SET,,,,,,,123 *GET,S4_2,NODE,3,EPCR,X R9=S4_2/0.236 SET,,,,,,,128 *GET,S5_2,NODE,3,EPCR,X R10=S5_2/0.315 *DIM,VALUE3,,5,3 *DIM,VALUE4,,5,3 *DIM,LABEL2,CHAR,10 *DIM,TARGET2,CHAR,10 *VFILL,VALUE3(1,1),DATA,S1_2,S2_2,S3_2,S4_2,S5_2 *VFILL,VALUE4(1,1),DATA,R6,R7,R8,R9,R10 LABEL2(1) = '0','50','100','150','200' TARGET2(1) = '0.000','0.070','0.099','0.236','0.315' /POST26 /NOERASE /AXLAB,X, /AXLAB,Y, /GROPT,DIVX,4 /GROPT,DIVY,7 /XRANGE,0,200 /YRANGE,0,0.35 ESOL,3,1,,EPCR,X,STRAINHARDENING /COLOR,CURVE,BMAG,1 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN(XX) PLVAR,3 PRVAR,3 *ENDIF


2199

NAFEMS Input Listings *ENDDO /COM /COM /COM /COM,--------- vmr049-cr3-182 TIME HARDENING COMPARISON----------/COM /COM COMPARE NUMERICAL VALUES LISTED /COM BELOW WITH GRAPH OF FIGURE 3.12A ON /COM PAGE 105 AS NO NUMERICAL RESULTS ARE /COM PRESENTED. /COM /COM,| TIME | TARGET | Mechanical APDL | RATIO | /COM, *VWRITE,LABEL(1),TARGET(1),VALUE(1,1),VALUE2(1,1) (1X,A6,' ',1X,A6,' ',F14.3,' ',1F12.3,' ') /COM /COM /COM,--------- vmr049-cr3-182 STRAIN HARDENING COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO | /COM, *VWRITE,LABEL2(1),TARGET2(1),VALUE3(1,1),VALUE4(1,1) (1X,A6,' ',1X,A6,' ',F14.3,' ',1F12.3,' ') FINISH

/POST26 *DIM,LABEL3,CHAR,2 *DIM,VALUE5,,2,3 LABEL3(1) = ' S2 ',' S7 ' *VFILL,VALUE5(1,1),DATA,S5,S5_2 *VFILL,VALUE5(1,2),DATA,R5,R10 *DIM,LABEL4,CHAR,2 LABEL4(1) = 'vmr049-','cr3-182' /OUT,vmr049-cr3-182,vrt /COM /COM,------------------- vmr049-cr3 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 *VWRITE,LABEL3(1),VALUE5(1,1),VALUE5(1,2),LABEL4(1),LABEL4(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL3(2),VALUE5(2,1),VALUE5(2,2),LABEL4(1),LABEL4(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr3-182,vrt

VM-R049-3 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr3-183 /TITLE,vmr049-cr3-183,VARIABLE-LOAD UNIAXIAL CREEP BENCHMARK /COM,THE COMPARISON IS MADE GRAPHICALLY WITH THE RESULTS OF THE TEST CR-3A /COM,FROM NAFEMS REPORT R0049. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER

2200


VM-R049-3 183 Input Listing *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(STRAIN HARDENING)*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** ELASTIC CONSTANT MP,EX,2,200E3 MP,NUXY,2,0.3 TB,CREEP,2,,,7 TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,100 N,4,0,100 N,5,50,0 N,6,100,50 N,7,50,100 N,8,0,50 ET,1,183 KEYOPT,1,3,0 E,1,2,3,4,5,6,7,8 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,,,8 D,ALL,UY, NSEL,ALL *DO,I,1,2 *STATUS,I /PREP7 *IF,I,EQ,1,THEN MAT,1 *ELSEIF,I,EQ,2,THEN MPCHG,2,ALL *ENDIF FINISH /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,1E-2,1E-2,1 TIME,100 /OUTPUT,SCRATCH OUTRES,ALL,-10 SOLVE /OUT /SOLU SFDELE,ALL,ALL NSEL,S,LOC,X,100 SF,ALL,PRES,-250 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8


2201

NAFEMS Input Listings TIME,100.00000001 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,1,1,10 TIME,200 /OUTPUT,SCRATCH OUTRES,ALL,-10 SOLVE /OUT FINISH

*IF,I,EQ,1,THEN /POST1 SET,,,,,,,1 *GET,S1,NODE,3,EPCR,X R1=1.000 SET,,,,,,,6 *GET,S2,NODE,3,EPCR,X R2=S2/0.068 SET,,,,,,,11 *GET,S3,NODE,3,EPCR,X R3=S3/0.097 SET,,,,,,,17 *GET,S4,NODE,3,EPCR,X R4=S4/0.166 SET,,,,,,,22 *GET,S5,NODE,3,EPCR,X R5=S5/0.221 *DIM,VALUE,,5,3 *DIM,VALUE2,,5,3 *DIM,LABEL,CHAR,10 *DIM,TARGET,CHAR,10 LABEL(1) = '0','50','100','150','200' TARGET(1) = '0.000','0.068','0.097','0.166','0.221' *VFILL,VALUE(1,1),DATA,S1,S2,S3,S4,S5 *VFILL,VALUE2(1,1),DATA,R1,R2,R3,R4,R5 /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /GTHK,AXIS,1 /GRTYP,0 /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,DIVX,4 /GROPT,DIVY,7 /XRANGE,0,200 /YRANGE,0,0.35 ESOL,2,1,,EPCR,X,TIMEHARDENING PRVAR,2 /COLOR,CURVE,GREE,1 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN (XX) PLVAR,2 *ELSEIF,I,EQ,2,THEN /POST1 SET,,,,,,,1 *GET,S1_2,NODE,3,EPCR,X R6=1.000 SET,,,,,,,6 *GET,S2_2,NODE,3,EPCR,X R7=S2_2/0.070

2202


VM-R049-3 183 Input Listing SET,,,,,,,11 *GET,S3_2,NODE,3,EPCR,X R8=S3_2/0.099 SET,,,,,,,17 *GET,S4_2,NODE,3,EPCR,X R9=S4_2/0.236 SET,,,,,,,22 *GET,S5_2,NODE,3,EPCR,X R10=S5_2/0.315 *DIM,VALUE3,,5,3 *DIM,VALUE4,,5,3 *DIM,LABEL2,CHAR,10 *DIM,TARGET2,CHAR,10 *VFILL,VALUE3(1,1),DATA,S1_2,S2_2,S3_2,S4_2,S5_2 *VFILL,VALUE4(1,1),DATA,R6,R7,R8,R9,R10 LABEL2(1) = '0','50','100','150','200' TARGET2(1) = '0.000','0.070','0.099','0.236','0.315' /POST26 /NOERASE /GROPT,DIVX,4 /GROPT,DIVY,7 /XRANGE,0,200 /YRANGE,0,0.35 ESOL,3,1,,EPCR,X,STRAINHARDENING /COLOR,CURVE,BMAG,1 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN (XX) PLVAR,3 PRVAR,3 *ENDIF *ENDDO /COM /COM /COM,--------- vmr049-cr3-183 TIME HARDENING COMPARISON----------/COM, /COM NAFEMS RESULTS /COM /COM COMPARE NUMERICAL VALUES LISTED /COM BELOW WITH GRAPH OF FIGURE 3.12A ON /COM PAGE 105 AS NO NUMERICAL RESULTS ARE /COM PRESENTED. /COM /COM,| TIME | TARGET | Mechanical APDL | RATIO | /COM, *VWRITE,LABEL(1),TARGET(1),VALUE(1,1),VALUE2(1,1) (1X,A8,' ',1X,A8,' ',F14.3,' ',1F12.2,' ') /COM /COM /COM,--------- vmr049-cr3-183 STRAIN HARDENING COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO | /COM, *VWRITE,LABEL2(1),TARGET2(1),VALUE3(1,1),VALUE4(1,1) (1X,A8,' ',1X,A8,' ',F14.3,' ',1F12.2,' ') FINISH /POST26 *DIM,LABEL3,CHAR,2 *DIM,VALUE5,,2,3 LABEL3(1) = ' S2 ',' S7 ' *VFILL,VALUE5(1,1),DATA,S5,S5_2 *VFILL,VALUE5(1,2),DATA,R5,R10 *DIM,LABEL4,CHAR,2 LABEL4(1) = 'vmr049-','cr3-183' /OUT,vmr049-cr3-183,vrt /COM /COM,------------------- vmr049-cr3 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM,


2203

NAFEMS Input Listings /COM, PLANE183 *VWRITE,LABEL3(1),VALUE5(1,1),VALUE5(1,2),LABEL4(1),LABEL4(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL3(2),VALUE5(2,1),VALUE5(2,2),LABEL4(1),LABEL4(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr3-183,vrt

VM-R049-3 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr3-281 /TITLE,vmr049-cr3-281,VARIABLE-LOAD UNIAXIAL CREEP BENCHMARK /COM,THE COMPARISON IS MADE GRAPHICALLY WITH THE RESULTS OF THE /COM,TEST CR-3A FROM NAFEMS REPORT. /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(TIME HARDENING)*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,200 C*** ELASTIC CONSTANT MP,EX,1,200E3 MP,NUXY,1,0.3 TUNIF,HOT TOFF,1E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4 C*** PARAMETRIC INPUT FOR CREEP CONSTANT !(STRAIN HARDENING)*** *SET,C1,1.5625E-14 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** ELASTIC CONSTANT MP,EX,2,200E3 MP,NUXY,2,0.3 TB,CREEP,2,,,7 TBDATA,1,C1,C2,C3,C4 N,1,0,0,0 N,2,100,0 N,3,100,50 N,4,0,50 N,5,100,100 N,6,0,100 N,7,50,0 N,8,100,25 N,9,50,50 N,10,0,25 N,11,100,75 N,12,50,100 N,13,0,75 ET,1,SHELL281,,, R,1,1,1,1,1, E,1,2,3,4,7,8,9,10 E,4,3,5,6,9,11,12,13 NSEL,S,LOC,X, D,ALL,UX, NSEL,ALL NSEL,S,,,4 D,ALL,UY, NSEL,ALL D,ALL,UZ

2204


VM-R049-3 281 Input Listing D,ALL,ROTX D,ALL,ROTY D,ALL,ROTZ *DO,I,1,2 *STATUS,I /PREP7 *IF,I,EQ,1,THEN MAT,1 *ELSEIF,I,EQ,2,THEN MPCHG,2,ALL *ENDIF FINISH /SOLU NSEL,S,LOC,X,100 SF,ALL,PRES,-200 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,1E-2,1E-2,1 TIME,100 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT /SOLU SFDELE,ALL,ALL NSEL,S,LOC,X,100 SF,ALL,PRES,-250 NSEL,ALL RATE, OFF DELT,1.0E-8,1.0E-9,1.0E-8 TIME,100.00000001 /OUTPUT,SCRATCH OUTRES,ALL,LAST SOLVE /OUT RATE, ON, ON DELT,1,1,10 TIME,200 /OUTPUT,SCRATCH OUTRES,ALL,ALL SOLVE /OUT FINISH *IF,I,EQ,1,THEN /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /GTHK,AXIS,1 /GRTYP,0 /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,DIVX,4 /GROPT,DIVY,7 /XRANGE,0,200 /YRANGE,0,0.35 ESOL,2,1,,EPCR,X,TIMEHARDENING /COLOR,CURVE,GREE,1 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN (XX) PLVAR,2 PRVAR,2


2205

NAFEMS Input Listings /POST1 SET,,,,,,,1 *GET,S1,NODE,3,EPCR,X R1=1.000 SET,,,,,,,62 *GET,S2,NODE,3,EPCR,X R2=S2/0.068 SET,,,,,,,112 *GET,S3,NODE,3,EPCR,X R3=S3/0.097 SET,,,,,,,123 *GET,S4,NODE,3,EPCR,X R4=S4/0.166 SET,,,,,,,128 *GET,S5,NODE,3,EPCR,X R5=S5/0.221 *DIM,VALUE,,5,3 *DIM,VALUE2,,5,3 *DIM,LABEL,CHAR,10 *DIM,TARGET,CHAR,10 LABEL(1) = '0','50','100','150','200' TARGET(1) = '0.000','0.068','0.097','0.166','0.221' *VFILL,VALUE(1,1),DATA,S1,S2,S3,S4,S5 *VFILL,VALUE2(1,1),DATA,R1,R2,R3,R4,R5 *ELSEIF,I,EQ,2,THEN /POST26 /NOERASE /AXLAB,X, /AXLAB,Y, /GROPT,DIVX,4 /GROPT,DIVY,7 /XRANGE,0,200 /YRANGE,0,0.35 ESOL,3,1,,EPCR,X,STRAINHARDENING /COLOR,CURVE,BMAG,1 /AXLAB,X,TIME /AXLAB,Y,CREEP STRAIN (XX) PLVAR,3 PRVAR,3 /POST1 SET,,,,,,,1 *GET,S1_2,NODE,3,EPCR,X R6=1.000 SET,,,,,,,62 *GET,S2_2,NODE,3,EPCR,X R7=S2_2/0.070 SET,,,,,,,112 *GET,S3_2,NODE,3,EPCR,X R8=S3_2/0.099 SET,,,,,,,123 *GET,S4_2,NODE,3,EPCR,X R9=S4_2/0.236 SET,,,,,,,128 *GET,S5_2,NODE,3,EPCR,X R10=S5_2/0.315 *DIM,VALUE3,,5,3 *DIM,VALUE4,,5,3 *DIM,LABEL2,CHAR,10 *DIM,TARGET2,CHAR,10 *VFILL,VALUE3(1,1),DATA,S1_2,S2_2,S3_2,S4_2,S5_2 *VFILL,VALUE4(1,1),DATA,R6,R7,R8,R9,R10 LABEL2(1) = '0','50','100','150','200' TARGET2(1) = '0.000','0.070','0.099','0.236','0.315' *ENDIF FINISH *ENDDO /COM /COM /COM /COM,--------- vmr049-cr3-281 TIME HARDENING COMPARISON----------/COM /COM COMPARE NUMERICAL VALUES LISTED

2206


VM-R049-4 182 Input Listing /COM BELOW WITH GRAPH OF FIGURE 3.12A ON /COM PAGE 105 AS NO NUMERICAL RESULTS ARE /COM PRESENTED. /COM /COM,| TIME | TARGET | Mechanical APDL | RATIO | /COM, *VWRITE,LABEL(1),TARGET(1),VALUE(1,1),VALUE2(1,1) (1X,A6,' ',1X,A6,' ',F14.3,' ',1F12.3,' ') /COM /COM /COM,--------- vmr049-cr3-281 STRAIN HARDENING COMPARISON----------/COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO | /COM, *VWRITE,LABEL2(1),TARGET2(1),VALUE3(1,1),VALUE4(1,1) (1X,A6,' ',1X,A6,' ',F14.3,' ',1F12.3,' ') FINISH /POST26 *DIM,LABEL3,CHAR,2 *DIM,VALUE5,,2,3 LABEL3(1) = ' S2 ',' S7 ' *VFILL,VALUE5(1,1),DATA,S5,S5_2 *VFILL,VALUE5(1,2),DATA,R5,R10 *DIM,LABEL4,CHAR,2 LABEL4(1) = 'vmr049-','cr3-281' /OUT,vmr049-cr3-281,vrt /COM /COM,------------------- vmr049-cr3 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL281 *VWRITE,LABEL3(1),VALUE5(1,1),VALUE5(1,2),LABEL4(1),LABEL4(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL3(2),VALUE5(2,1),VALUE5(2,2),LABEL4(1),LABEL4(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr3-281,vrt

VM-R049-4 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr4-182 /TITLE,vmr049-cr4-182,PRESSURISED CYLINDER CREEP BENCHMARK /COM,NAFEMS REPORT R0049, TEST: CR-4 /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS !*** *SET,C1,3.125E-14 *SET,C2,5.0 *SET,C3,0.0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,100 C*** ELASTIC CONSTANT MP,EX,,0.2000E+06 MP,EY,,0.2000E+06 MP,EZ,,0.2000E+06 MP,GXY,,0.7692E+05 MP,GYZ,,0.7692E+05 MP,GXZ,,0.7692E+05 MP,NUXY,,0.3000E+00 MP,NUYZ,,0.3000E+00 MP,NUXZ,,0.3000E+00 MP,DENS,,0.0000E+00 TB,CREEP,1,,,6


2207

NAFEMS Input Listings TBDATA,1,C1,C2,C3,C4 N,1,100 N,9,200 FILL,1,9,7,2,1,1, N,10,100,12.5 N,18,200,12.5 FILL,10,18,7,11,1,1, N,19,100,25 N,27,200,25 FILL,19,27,7,20,1,1, ET,1,182,1,,1 E,1,2,11,10 EGEN,8,1,1 EN,9,10,11,20,19 EGEN,8,1,9 NSEL,ALL NSEL,S,LOC,Y D,ALL,UY NSEL,ALL NSEL,S,LOC,Y,25 D,ALL,UY NSEL,ALL FINI /SOLU RATE, OFF SOLCONTROL,ON ERESX,ON NSEL,S,LOC,X,100 SF,ALL,PRES,200 NSEL,ALL DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 OUTRES,ALL,LAST /OUT,SCRATCH SOLVE /OUT /SOLU RATE, ON, ON SOLCONTROL,ON ERESX,OFF NSUBST,1000,10000,100 TIME, 100 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /POST1 SET,FIRST FLST,2,2,1 FITEM,2,1 FITEM,2,9 PATH,PATH,2,30,20, PPATH,P51X,1 PDEF,STAT AVPRIN,0,0, PDEF,SXELASTI,S,X,AVG *DIM,SXELAS,ARRAY,21,1 *DO,JJ,1,21,5 *GET,SXELAS(JJ,1),PATH,0,ITEM,SXELASTI,PATHPT,JJ *ENDDO V1=SXELAS(1,1) V2=SXELAS(6,1) V3=SXELAS(11,1) V4=SXELAS(16,1) V5=SXELAS(21,1) *DIM,SXELAST,,5,1 *VFILL,SXELAST,DATA,V1,V2,V3,V4,V5 R1=SXELAS(1,1)/(-194.074) R2=SXELAS(6,1)/(-100.337) R3=SXELAS(11,1)/(-50.123)

2208


VM-R049-4 182 Input Listing R4=SXELAS(16,1)/(-19.487) R5=SXELAS(21,1)/(.635) AVPRIN,0,0, PDEF,SZELASTI,S,Z,AVG *DIM,SZELAS,ARRAY,21,1 *DO,JJ,1,21,5 *GET,SZELAS(JJ,1),PATH,0,ITEM,SZELASTI,PATHPT,JJ *ENDDO V6=SZELAS(1,1) V7=SZELAS(6,1) V8=SZELAS(11,1) V9=SZELAS(16,1) V10=SZELAS(21,1) *DIM,SZELAST,,5,1 *VFILL,SZELAST,DATA,V6,V7,V8,V9,V10 R6=SZELAS(1,1)/(327.407) R7=SZELAS(6,1)/(233.670) R8=SZELAS(11,1)/(183.457) R9=SZELAS(16,1)/(152.821) R10=SZELAS(21,1)/(132.698) /AXLAB,X,RADIUS /AXLAB,Y,STRESS /XRANGE,0,100 /YRANGE,-250,500 /COLOR,CURVE,RED,1 PLPATH,SXELASTI /NOERASE /COLOR,CURVE,BLUE,1 PLPATH,SZELASTI PRPATH,SXELASTI,SZELASTI /NOERASE SET,LAST PDEF,SXSTEADY,S,X,AVG AVPRIN,0,0, PDEF,SZSTEADY,S,Z,AVG /COLOR,CURVE,GREE,1 PLPATH,SXSTEADY /COLOR,CURVE,YELL,1 PLPATH,SZSTEADY PRPATH,SXSTEADY,SZSTEADY *DIM,SXSTEA,ARRAY,21,1 *DO,JJ,1,21,5 *GET,SXSTEA(JJ,1),PATH,0,ITEM,SXSTEADY,PATHPT,JJ *ENDDO V11=SXSTEA(1,1) V12=SXSTEA(6,1) V13=SXSTEA(11,1) V14=SXSTEA(16,1) V15=SXSTEA(21,1) *DIM,SXSTEAD,,5,1 *VFILL,SXSTEAD,DATA,V11,V12,V13,V14,V15 R11=SXSTEA(1,1)/(-183.134) R12=SXSTEA(6,1)/(-129.850) R13=SXSTEA(11,1)/(-76.583) R14=SXSTEA(16,1)/(-34.512) R15=SXSTEA(21,1)/(-6.742) PRPATH,SZSTEADY *DIM,SZSTEA,ARRAY,21,1 *DO,JJ,1,21,5 *GET,SZSTEA(JJ,1),PATH,0,ITEM,SZSTEADY,PATHPT,JJ *ENDDO V16=SZSTEA(1,1) V17=SZSTEA(6,1) V18=SZSTEA(11,1) V19=SZSTEA(16,1) V20=SZSTEA(21,1) *DIM,SZSTEAD,,5,1 *VFILL,SZSTEAD,DATA,V16,V17,V18,V19,V20 R16=SZSTEA(1,1)/(140.547) R17=SZSTEA(6,1)/(172.463) R18=SZSTEA(11,1)/(204.427) R19=SZSTEA(16,1)/(229.672)


2209

NAFEMS Input Listings R20=SZSTEA(21,1)/(246.329) *DIM,TIME,CHAR,10 *DIM,TSXELAST,CHAR,10 *DIM,TSZELAST,CHAR,10 *DIM,TSXSTEAD,CHAR,10 *DIM,TSZSTEAD,CHAR,10 *DIM,RSXELAST,,5,1 *DIM,RSZELAST,,5,1 *DIM,RSXSTEAD,,5,1 *DIM,RSZSTEAD,,5,1 TIME(1)='100','125','150','175','200' TSXELAST(1)='-194.074','-100.337','-50.123','-19.487','.635' TSZELAST(1)='327.407','233.670','183.457','152.821','132.698' TSXSTEAD(1)='-183.134','-129.850','-76.583','-34.512','-6.742' TSZSTEAD(1)='140.547','172.463','204.427','229.672','246.329' *VFILL,RSXELAST,DATA,R1,R2,R3,R4,R5 *VFILL,RSZELAST,DATA,R6,R7,R8,R9,R10 *VFILL,RSXSTEAD,DATA,R11,R12,R13,R14,R15 *VFILL,RSZSTEAD,DATA,R16,R17,R18,R19,R20 /COM, /COM, ----------- vmr049-cr4-182 RESULTS COMPARISON -------------/COM, /COM, vmr049-cr4-182.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 107, FIGURE 3.14. THE TARGET VALUES /COM, DISPLAYED ARE TAKEN FROM VMR049-CR4-183 BECAUSE GRAPH IS /COM, NOT EXPLICIT ENOUGH, REFINING MESH WILL GIVE MORE ACCURATE RESULTS /COM, /COM, /COM, ------ vmr049-cr4-182 ELASTIC RADIAL STRESS ------/COM, /COM, | RADIUS | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,TIME(1),TSXELAST(1),SXELAST(1,1),RSXELAST(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-cr4-182 ELASTIC HOOP STRESS ------/COM, /COM, | RADIUS | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,TIME(1),TSZELAST(1),SZELAST(1,1),RSZELAST(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-cr4-182 STEADY-STATE RADIAL STRESS ------/COM, /COM, | RADIUS | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,TIME(1),TSXSTEAD(1),SXSTEAD(1,1),RSXSTEAD(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-cr4-182 STEADY-STATE HOOP STRESS ------/COM, /COM, | RADIUS | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,TIME(1),TSZSTEAD(1),SZSTEAD(1,1),RSZSTEAD(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH /POST26 *DIM,LABEL1,CHAR,4 *DIM,VALUE1,,4,3 LABEL1(1) = ' ELS6X ',' ELS6Z ',' SSS6X ',' SSS6Z ' *VFILL,VALUE1(1,1),DATA,V4,V9,V14,V19 *VFILL,VALUE1(1,2),DATA,R4,R9,R14,R19 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr4-182' /OUT,vmr049-cr4-182,vrt /COM

2210


VM-R049-4 183 Input Listing /COM,------------------- vmr049-cr4 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 /COM, RESULTS TAKEN AT RADIUS=175 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(4),VALUE1(4,1),VALUE1(4,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr4-182,vrt

VM-R049-4 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr4-183 /TITLE,vmr049-cr4-183,PRESSURISED CYLINDER CREEP BENCHMARK /COM,NAFEMS ROO49, TEST: CR-4 /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANTS !*** *SET,C1,3.125E-14 *SET,C2,5.0 *SET,C3,0.0 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,100 C*** ELASTIC CONSTANT MP,EX,1,0.2000E+06 MP,EY,1,0.2000E+06 MP,EZ,1,0.2000E+06 MP,GXY,1,0.7692E+05 MP,GYZ,1,0.7692E+05 MP,GXZ,1,0.7692E+05 MP,NUXY,1,0.3000E+00 MP,NUYZ,1,0.3000E+00 MP,NUXZ,1,0.3000E+00 TB,CREEP,1,,,6 TBDATA,1,C1,C2,C3,C4 N,1,100 N,9,200 FILL,1,9,7,2,1,1,1,1, N,10,100,25 N,18,200,25 FILL,10,18,7,11,1,1,1,1, N,19,100,12.5 N,27,200,12.5 FILL,19,27,3,21,2 ET,1,183,,,1 E,1,3,12,10,2,21,11,19 EGEN,4,2,1 NSEL,ALL NSEL,S,LOC,Y D,ALL,UY NSEL,ALL NSEL,S,LOC,Y,25 D,ALL,UY NSEL,ALL FINISH


2211


/SOLU RATE, OFF SOLCONTROL,ON ERESX,ON NSEL,S,LOC,X,100 SF,ALL,PRES,200 NSEL,ALL DELT,1.0E-8,1.0E-9,1.0E-8 TIME, 1.0E-8 OUTRES,ALL,LAST /OUT,SCRATCH SOLVE /OUT /SOLU RATE, ON, ON SOLCONTROL,ON ERESX,OFF NSUBST,1000,10000,100 TIME, 100 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /POST1 SET,FIRST FLST,2,2,1 FITEM,2,1 FITEM,2,9 PATH,PATH,2,30,20, PPATH,P51X,1 PDEF,STAT AVPRIN,0,0, PDEF,SXELASTI,S,X,AVG *DIM,SXELAS,ARRAY,21,1 *DO,JJ,1,21,5 *GET,SXELAS(JJ,1),PATH,0,ITEM,SXELASTI,PATHPT,JJ *ENDDO V1=SXELAS(1,1) V2=SXELAS(6,1) V3=SXELAS(11,1) V4=SXELAS(16,1) V5=SXELAS(21,1) *DIM,SXELAST,,5,1 *VFILL,SXELAST,DATA,V1,V2,V3,V4,V5 R1=SXELAS(1,1)/(-194.074) R2=SXELAS(6,1)/(-100.337) R3=SXELAS(11,1)/(-50.123) R4=SXELAS(16,1)/(-19.487) R5=SXELAS(21,1)/(.635) AVPRIN,0,0, PDEF,SZELASTI,S,Z,AVG *DIM,SZELAS,ARRAY,21,1 *DO,JJ,1,21,5 *GET,SZELAS(JJ,1),PATH,0,ITEM,SZELASTI,PATHPT,JJ *ENDDO V6=SZELAS(1,1) V7=SZELAS(6,1) V8=SZELAS(11,1) V9=SZELAS(16,1) V10=SZELAS(21,1) *DIM,SZELAST,,5,1 *VFILL,SZELAST,DATA,V6,V7,V8,V9,V10 R6=SZELAS(1,1)/(327.407) R7=SZELAS(6,1)/(233.670) R8=SZELAS(11,1)/(183.457) R9=SZELAS(16,1)/(152.821) R10=SZELAS(21,1)/(132.698) /AXLAB,X,RADIUS /AXLAB,Y,STRESS /XRANGE,0,100

2212


VM-R049-4 183 Input Listing /YRANGE,-250,500 /COLOR,CURVE,RED,1 PLPATH,SXELASTI /NOERASE /COLOR,CURVE,BLUE,1 PLPATH,SZELASTI PRPATH,SXELASTI,SZELASTI /NOERASE SET,LAST PDEF,SXSTEADY,S,X,AVG AVPRIN,0,0, PDEF,SZSTEADY,S,Z,AVG /COLOR,CURVE,GREE,1 PLPATH,SXSTEADY /COLOR,CURVE,YELL,1 PLPATH,SZSTEADY PRPATH,SXSTEADY,SZSTEADY *DIM,SXSTEA,ARRAY,21,1 *DO,JJ,1,21,5 *GET,SXSTEA(JJ,1),PATH,0,ITEM,SXSTEADY,PATHPT,JJ *ENDDO V11=SXSTEA(1,1) V12=SXSTEA(6,1) V13=SXSTEA(11,1) V14=SXSTEA(16,1) V15=SXSTEA(21,1) *DIM,SXSTEAD,,5,1 *VFILL,SXSTEAD,DATA,V11,V12,V13,V14,V15 R11=SXSTEA(1,1)/(-183.134) R12=SXSTEA(6,1)/(-129.850) R13=SXSTEA(11,1)/(-76.583) R14=SXSTEA(16,1)/(-34.512) R15=SXSTEA(21,1)/(-6.742) *DIM,SZSTEA,ARRAY,21,1 *DO,JJ,1,21,5 *GET,SZSTEA(JJ,1),PATH,0,ITEM,SZSTEADY,PATHPT,JJ *ENDDO V16=SZSTEA(1,1) V17=SZSTEA(6,1) V18=SZSTEA(11,1) V19=SZSTEA(16,1) V20=SZSTEA(21,1) *DIM,SZSTEAD,,5,1 *VFILL,SZSTEAD,DATA,V16,V17,V18,V19,V20 R16=SZSTEA(1,1)/(140.547) R17=SZSTEA(6,1)/(172.463) R18=SZSTEA(11,1)/(204.427) R19=SZSTEA(16,1)/(229.672) R20=SZSTEA(21,1)/(246.329) *DIM,TIME,CHAR,10 *DIM,TSXELAST,CHAR,10 *DIM,TSZELAST,CHAR,10 *DIM,TSXSTEAD,CHAR,10 *DIM,TSZSTEAD,CHAR,10 *DIM,RSXELAST,,5,1 *DIM,RSZELAST,,5,1 *DIM,RSXSTEAD,,5,1 *DIM,RSZSTEAD,,5,1 TIME(1)='100','125','150','175','200' TSXELAST(1)='-194.074','-100.337','-50.123','-19.487',' 0.635' TSZELAST(1)='327.407','233.670','183.457','152.821','132.698' TSXSTEAD(1)='-183.134','-129.850','-76.583','-34.512','-6.742' TSZSTEAD(1)='140.547','172.463','204.427','229.672','246.329' *VFILL,RSXELAST,DATA,R1,R2,R3,R4,R5 *VFILL,RSZELAST,DATA,R6,R7,R8,R9,R10 *VFILL,RSXSTEAD,DATA,R11,R12,R13,R14,R15 *VFILL,RSZSTEAD,DATA,R16,R17,R18,R19,R20 /COM, /COM, ----------- vmr049-cr4-183 RESULTS COMPARISON -------------/COM, /COM, vmr049-cr4-183.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 107, FIGURE 3.14. THE RESULTS


2213

NAFEMS Input Listings /COM, DISPLAYED ARE TAKEN FROM THIS TEST BECAUSE GRAPH RESULTS ARE /COM, NOT EXPLICIT ENOUGH TO JUDGE ACTUAL VALUES. /COM, /COM, /COM, ------ vmr049-cr4-183 ELASTIC RADIAL STRESS ------/COM, /COM, | RADIUS | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,TIME(1),TSXELAST(1),SXELAST(1,1),RSXELAST(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-cr4-183 ELASTIC HOOP STRESS ------/COM, /COM, | RADIUS | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,TIME(1),TSZELAST(1),SZELAST(1,1),RSZELAST(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-cr4-183 STEADY-STATE RADIAL STRESS ------/COM, /COM, | RADIUS | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,TIME(1),TSXSTEAD(1),SXSTEAD(1,1),RSXSTEAD(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-cr4-183 STEADY-STATE HOOP STRESS ------/COM, /COM, | RADIUS | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,TIME(1),TSZSTEAD(1),SZSTEAD(1,1),RSZSTEAD(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH /POST26 *DIM,LABEL1,CHAR,4 *DIM,VALUE1,,4,3 LABEL1(1) = ' ELS6X ',' ELS6Z ',' SSS6X ',' SSS6Z ' *VFILL,VALUE1(1,1),DATA,V4,V9,V14,V19 *VFILL,VALUE1(1,2),DATA,R4,R9,R14,R19 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr4-183' /OUT,vmr049-cr4-183,vrt /COM /COM,------------------- vmr049-cr4 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 /COM, RESULTS TAKEN AT RADIUS=175 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(4),VALUE1(4,1),VALUE1(4,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr4-183,vrt

2214


VM-R049-5 185 Input Listing

VM-R049-5 185 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr5-185 /TITLE,vmr049-cr5-185,TORSIONAL CREEP OF SQUARE SHAFT /COM, THE COMPARISON IS MADE GRAPHICALLY WITH THE RESULTS OF THE TEST CR-5 (R0049) /COM, FROM THE NAFEMS REPORT, FOR THE CONSTANT TWIST STUDY /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT *SET,C1,1E4 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 C*** TIME PARAMETER *SET,HOUR,100 ET,1,185 MP,EX,1,10 MP,NUXY,1,0.3 TOFF,1.0E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4, BLOCK,0,1,0,1,0,0.2 ESIZE,0.125 VMESH,ALL NODE10=NODE(1,0,0.2) CSYS,1 NROTAT,ALL *DIM,A,ARRAY,243 *DIM,B,ARRAY,243 *DO,I,1,243 A(I)=NX(I) B(I)=NY(I)*3.1415926/180 *ENDDO CSYS,0 NROTAT,ALL NSEL,S,LOC,Z, D,ALL,UX,0 D,ALL,UY,0 NSEL,ALL NODE1=NODE(0,0,0) NODE2=NODE(1,0,0) NODE3=NODE(0,1,0) D,NODE1,UZ,0 D,NODE2,UZ,0 D,NODE3,UZ,0 NSEL,ALL NSEL,S,LOC,X, NSEL,R,LOC,Z,0.1 NSEL,A,LOC,Y, NSEL,R,LOC,Z,0.1 CP,163,UZ,ALL NSEL,ALL NSEL,S,LOC,X, NSEL,R,LOC,Z,0.2 NSEL,A,LOC,Y, NSEL,R,LOC,Z,0.2 CP,82,UZ,ALL NSEL,ALL NSEL,S,LOC,X, NSEL,R,LOC,Z, NSEL,A,LOC,Y, NSEL,R,LOC,Z, CP,2,UZ,ALL NSEL,ALL /SOLU *DO,I,163,243 D,I,UX,-A(I)*0.001*SIN(B(I))


2215

NAFEMS Input Listings D,I,UY,A(I)*0.001*COS(B(I)) *ENDDO *DO,I,82,162 D,I,UX,-A(I)*0.002*SIN(B(I)) D,I,UY,A(I)*0.002*COS(B(I)) *ENDDO /SOLU RATE, ON DELT,.0001,.000099,.000101 TIME, .0001 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /SOLU RATE, ON DELT,.001,.00099,.00101 TIME, .001 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /SOLU RATE, ON DELT,.01,.009,.011 TIME, .01 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /SOLU RATE, ON DELT,0.10,0.09,0.11 TIME, 0.10 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /SOLU RATE, ON DELT,1,0.99,1.1 TIME, 1 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /SOLU RATE, ON DELT,10,9.99,10.01 TIME, 10 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /SOLU RATE, ON DELT,100,99.9,100.01 TIME, 100 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /POST26

2216


VM-R049-5 185 Input Listing /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,LOGTIME /AXLAB,Y,SHEAR STRESS(YZ) /GTHK,AXIS,1 /GRTYP,0 /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,LOGX,ON /GROPT,DIVX,6 /GROPT,DIVY,3 /XRANGE,1E-4,1E2 /YRANGE,0,0.06 ANSOL,2,NODE10,S,YZ PLVAR,2 PRVAR,2 /GROPT,DIVX,6 /GROPT,DIVY,5 /XRANGE,1E-4,1E2 /YRANGE,0,0.05 ANSOL,3,NODE10,EPEL,YZ ANSOL,4,NODE10,EPCR,YZ ADD,5,3,4,,ETOTAL PLVAR,3,4,5 PRVAR,3,4,5 FINISH /POST1 *DIM,LABEL,CHAR,10 *DIM,SYZ,ARRAY,7,1 *DIM,TARGET,CHAR,10 *DIM,RATIO,ARRAY,7,1 *DO,JJ,1,7,1 SET,JJ *GET,SYZ(JJ),NODE,NODE10,S,YZ *ENDDO R1=SYZ(1)/0.05000 R2=SYZ(2)/0.04322 R3=SYZ(3)/0.03751 R4=SYZ(4)/0.03081 R5=SYZ(5)/0.02499 R6=SYZ(6)/0.01877 R7=SYZ(7)/0.01427 TARGET(1)='0.05000','0.04322','0.03751','0.03081','0.02499','0.01877','0.01427' LABEL(1)='-4','-3','-2','-1','0','1','2' *VFILL,RATIO,DATA,R1,R2,R3,R4,R5,R6,R7 /COM /COM,--------- vmr049-cr5-185 RESULTS COMPARISON----------/COM, /COM, vmr049-cr5-185.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 109, FIGURE 3.16(A). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM,| LOG(TIME) | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),TARGET(1),SYZ(1,1),RATIO(1,1) (1X,A12,' ',1X,A8,' ',F14.6,' ',1F12.3) FINISH *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' SYZ2 ', *VFILL,VALUE1(1,1),DATA,SYZ(7) *VFILL,VALUE1(1,2),DATA,R7 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr5-185'


2217

NAFEMS Input Listings /OUT,vmr049-cr5-185,vrt /COM /COM,------------------- vmr049-cr5 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SOLID185 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr5-185,vrt

VM-R049-5 186 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr5-186 /TITLE,vmr049-cr5-186,TORSIONAL CREEP OF SQUARE SHAFT /COM NAFEMS: R0049 TEST: CR-5 /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT *SET,C1,1E4 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 *SET,HOUR,100 ET,1,186 MP,EX,1,10 MP,NUXY,1,0.3 TOFF,1.0E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4, BLOCK,0,1,0,1,0,0.2 ESIZE,0.25 VMESH,ALL NODE10=NODE(1,0,0.2) CSYS,1 NROTAT,ALL *DIM,A,ARRAY,155 *DIM,B,ARRAY,155 *DO,I,1,155 A(I)=NX(I) B(I)=NY(I)*3.1415926/180 *ENDDO CSYS,0 NROTAT,ALL NSEL,S,LOC,Z, D,ALL,UX,0 D,ALL,UY,0 NSEL,ALL NODE1=NODE(0,0,0) NODE2=NODE(1,0,0) NODE3=NODE(0,1,0) D,NODE1,UZ,0 D,NODE2,UZ,0 D,NODE3,UZ,0 NSEL,ALL NSEL,S,LOC,X, NSEL,R,LOC,Z,0.1 NSEL,A,LOC,Y, NSEL,R,LOC,Z,0.1 CP,131,UZ,ALL NSEL,ALL NSEL,S,LOC,X,

2218


VM-R049-5 186 Input Listing NSEL,R,LOC,Z,0.2 NSEL,A,LOC,Y, NSEL,R,LOC,Z,0.2 CP,66,UZ,ALL NSEL,ALL NSEL,S,LOC,X, NSEL,R,LOC,Z, NSEL,A,LOC,Y, NSEL,R,LOC,Z, CP,2,UZ,ALL NSEL,ALL /SOLU *DO,I,131,155 D,I,UX,-A(I)*0.001*SIN(B(I)) D,I,UY,A(I)*0.001*COS(B(I)) *ENDDO *DO,I,66,130 D,I,UX,-A(I)*0.002*SIN(B(I)) D,I,UY,A(I)*0.002*COS(B(I)) *ENDDO /SOLU RATE, ON DELT,.0001,.000099,.000101 TIME, .0001 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /SOLU RATE, ON DELT,.001,.00099,.00101 TIME, .001 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /SOLU RATE, ON DELT,.01,.009,.011 TIME, .01 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /SOLU RATE, ON DELT,0.10,0.09,0.11 TIME, 0.10 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /SOLU RATE, ON DELT,1,0.99,1.1 TIME, 1 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /SOLU RATE, ON DELT,10,9.99,10.01 TIME, 10


2219

NAFEMS Input Listings OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /SOLU RATE, ON DELT,100,99.9,100.01 TIME, 100 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,LOGTIME /AXLAB,Y,SHEAR STRESS(YZ) /GTHK,AXIS,1 /GRTYP,0 /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,LOGX,ON /GROPT,DIVX,6 /GROPT,DIVY,3 /XRANGE,1E-4,1E2 /YRANGE,0,0.06 ANSOL,2,NODE10,S,YZ PLVAR,2 PRVAR,2 /GROPT,DIVX,6 /GROPT,DIVY,5 /XRANGE,1E-4,1E2 /YRANGE,0,0.05 ANSOL,3,NODE10,EPEL,YZ ANSOL,4,NODE10,EPCR,YZ ADD,5,3,4,,ETOTAL PLVAR,3,4,5 PRVAR,3,4,5 FINISH /POST1 *DIM,LABEL,CHAR,10 *DIM,SYZ,ARRAY,7,1 *DIM,TARGET,CHAR,10 *DIM,RATIO,ARRAY,7,1 *DO,JJ,1,7,1 SET,JJ *GET,SYZ(JJ),NODE,NODE10,S,YZ *ENDDO R1=SYZ(1)/0.05000 R2=SYZ(2)/0.04322 R3=SYZ(3)/0.03751 R4=SYZ(4)/0.03081 R5=SYZ(5)/0.02499 R6=SYZ(6)/0.01877 R7=SYZ(7)/0.01427 TARGET(1)='0.0500','0.04322','0.03751','0.03081','0.02499','0.01877','0.01427' LABEL(1)='-4','-3','-2','-1','0','1','2' *VFILL,RATIO,DATA,R1,R2,R3,R4,R5,R6,R7 /COM /COM,--------- vmr049-cr5-186 MIXED FORMULATION COMPARISON----------/COM, /COM, vmr049-cr5-186.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 109, FIGURE 3.16(A). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM,

2220


VM-R049-5 187 Input Listing /COM,| LOG(TIME) | TARGET | Mechanical APDL /COM, *VWRITE,LABEL(1),TARGET(1),SYZ(1,1),RATIO(1,1) (1X,A12,' ',1X,A8,' ',F14.6,' ',1F12.3) FINISH

|

RATIO

*DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' SYZ2 ' *VFILL,VALUE1(1,1),DATA,SYZ(7) *VFILL,VALUE1(1,2),DATA,R7 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr5-186' /OUT,vmr049-cr5-186,vrt /COM /COM,------------------- vmr049-cr5 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SOLID186 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr5-186,vrt

VM-R049-5 187 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-cr5-187 /TITLE,vmr049-cr5-187,TORSIONAL CREEP OF SQUARE SHAFT /COM NAFEMS: R0049 TEST: CR-5 /PREP7 C*** PARAMETRIC INPUT FOR CREEP CONSTANT *SET,C1,1E4 *SET,C2,5 *SET,C3,-0.5 *SET,C4,0 *SET,HOUR,100 ET,1,187 MP,EX,1,10 MP,NUXY,1,0.3 TOFF,1.0E-10 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4, BLOCK,0,1,0,1,0,0.2 ESIZE,0.25 VMESH,ALL NODE10=NODE(1,0,0.2) CSYS,1 NROTAT,ALL *DIM,A,ARRAY,349 *DIM,B,ARRAY,349 *DO,I,1,349 A(I)=NX(I) B(I)=NY(I)*3.1415926/180 *ENDDO CSYS,0 NROTAT,ALL NSEL,S,LOC,Z, D,ALL,UX,0 D,ALL,UY,0 NSEL,ALL


2221

NAFEMS Input Listings NODE1=NODE(0,0,0) NODE2=NODE(1,0,0) NODE3=NODE(0,1,0) D,NODE1,UZ,0 D,NODE2,UZ,0 D,NODE3,UZ,0 NSEL,ALL NSEL,S,LOC,X, NSEL,R,LOC,Z,0.1 NSEL,A,LOC,Y, NSEL,R,LOC,Z,0.1 CP,195,UZ,ALL NSEL,ALL NSEL,S,LOC,X, NSEL,R,LOC,Z,0.2 NSEL,A,LOC,Y, NSEL,R,LOC,Z,0.2 CP,98,UZ,ALL NSEL,ALL NSEL,S,LOC,X, NSEL,R,LOC,Z, NSEL,A,LOC,Y, NSEL,R,LOC,Z, CP,2,UZ,ALL NSEL,ALL /SOLU NSEL,S,LOC,Z,0.1 *GET,_NMIN,NODE,,NUM,MIN *GET,_NNUM,NODE,,COUNT *DO,I,1,_NNUM D,_NMIN,UX,-A(_NMIN)*0.001*SIN(B(_NMIN)) D,_NMIN,UY,A(_NMIN)*0.001*COS(B(_NMIN)) NSEL,U,,,_NMIN *GET,_NMIN,NODE,,NUM,MIN *ENDDO NSEL,S,LOC,Z,0.2 *GET,_NMIN,NODE,,NUM,MIN *GET,_NNUM,NODE,,COUNT *DO,I,1,_NNUM D,_NMIN,UX,-A(_NMIN)*0.002*SIN(B(_NMIN)) D,_NMIN,UY,A(_NMIN)*0.002*COS(B(_NMIN)) NSEL,U,,,_NMIN *GET,_NMIN,NODE,,NUM,MIN *ENDDO NSEL,ALL FINISH /SOLU RATE, ON DELT,.0001,.000099,.000101 TIME, .0001 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /SOLU RATE, ON DELT,.001,.00099,.00101 TIME, .001 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /SOLU RATE, ON DELT,.01,.009,.011

2222


VM-R049-5 187 Input Listing TIME, .01 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /SOLU RATE, ON DELT,0.10,0.09,0.11 TIME, 0.10 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /SOLU RATE, ON DELT,1,0.99,1.1 TIME, 1 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /SOLU RATE, ON DELT,10,9.99,10.01 TIME, 10 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /SOLU RATE, ON DELT,100,99.9,100.01 TIME, 100 OUTRES,ALL,ALL /OUTPUT,SCRATCH SOLVE /OUT /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,LOGTIME /AXLAB,Y,SHEAR STRESS(YZ) /GTHK,AXIS,1 /GRTYP,0 /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,LOGX,ON /GROPT,DIVX,6 /GROPT,DIVY,3 /XRANGE,1E-4,1E2 /YRANGE,0,0.06 ANSOL,2,NODE10,S,YZ PLVAR,2 PRVAR,2 /GROPT,DIVX,6 /GROPT,DIVY,5 /XRANGE,1E-4,1E2 /YRANGE,0,0.05 ANSOL,3,NODE10,EPEL,YZ ANSOL,4,NODE10,EPCR,YZ ADD,5,3,4,,ETOTAL PLVAR,3,4,5 PRVAR,3,4,5


2223

NAFEMS Input Listings FINISH /POST1 *DIM,LABEL,CHAR,10 *DIM,SYZ,ARRAY,7,1 *DIM,TARGET,CHAR,10 *DIM,RATIO,ARRAY,7,1 *DO,JJ,1,7,1 SET,JJ *GET,SYZ(JJ),NODE,NODE10,S,YZ *ENDDO R1=SYZ(1)/0.05000 R2=SYZ(2)/0.04322 R3=SYZ(3)/0.03751 R4=SYZ(4)/0.03081 R5=SYZ(5)/0.02499 R6=SYZ(6)/0.01877 R7=SYZ(7)/0.01427 TARGET(1)='0.05000','0.04322','0.03751' TARGET(4)='0.03081','0.02499','0.01877','0.01427' LABEL(1)='-4','-3','-2','-1','0','1','2' *VFILL,RATIO,DATA,R1,R2,R3,R4,R5,R6,R7 /COM /COM,--------- vmr049-cr5-187 MIXED FORMULATION COMPARISON----------/COM, /COM, vmr049-cr5-187.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 109, FIGURE 3.16(A). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM,| LOG(TIME) | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL(1),TARGET(1),SYZ(1,1),RATIO(1,1) (1X,A12,' ',1X,A8,' ',F14.6,' ',1F12.3) FINISH *DIM,LABEL1,CHAR,2 *DIM,VALUE1,,2,3 LABEL1(1) = ' SYZ2 ', *VFILL,VALUE1(1,1),DATA,SYZ(7) *VFILL,VALUE1(1,2),DATA,R7 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','cr5-187' /OUT,vmr049-cr5-187,vrt /COM /COM,------------------- vmr049-cr5 RESULTS COMPARISON -------------/COM, /COM, | Mechanical APDL | RATIO | INPUT /COM, /COM, SOLID187 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT

|

FINISH *LIST,vmr049-cr5-187,vrt

VM-R049-6 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR049-CR6-182 /TITLE,VMR049-CR6-182,THERMALLY INDUCED CREEP BENCHMARK C*** REFERENCE NAFEMS101 /PREP7 CYL4,0,0,200,0,500,10

2224


VM-R049-6 182 Input Listing ET,1,PLANE182 KEYOPT,1,1,0 KEYOPT,1,3,1 LSEL,S,LINE,,1,3,2 LESIZE,ALL, , ,2 LSEL,ALL LSEL,S,LINE,,2,4,2 LESIZE,ALL,,,20 AMESH,ALL C*** PARAMETRIC INPUT FOR CREEP CONSTANTS !*** *SET,C1,3E-6 *SET,C2,5.5 *SET,C3,0 *SET,C4,12500 *SET,C5,0 *SET,C6,1 C*** TIME PARAMETER *SET,HOUR,10E10 C*** ELASTIC CONSTANT MP,EX,1,1E4 MP,NUXY,1,0.25 TUNIF,HOT TOFF,OFFS TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4,C5,C6 CSYS,1 NROTAT,ALL FINISH /SOLU NLGEOM,OFF RATE, OFF SOLCONTROL,ON

NSEL,ALL NSEL,S,LOC,Y D,ALL,UY NSEL,ALL NSEL,S,LOC,Y,10 D,ALL,UY NSEL,ALL NSEL,S,LOC,X,200 SF,ALL,PRES,30 NSEL,ALL *DO,I,1,63 *STATUS,I BF,I,TEMP,333*(1+100/NX(I)) *ENDDO DELT,1.0E-8,1E-8,1E-7 TIME, 1.0E-8 OUTRES,ALL,LAST /OUT OUTPR,ALL,LAST /OUT,SCRATCH SOLVE /SOLU NLGEOM,OFF RATE, ON, ON SOLCONTROL,ON /OUT,SCRATCH DELT,1,1,1E3 TIME, 1E4 OUTRES,ALL,LAST OUTPR,ALL,ALL /OUT,SCRATCH SOLVE /SOLU NLGEOM,OFF RATE, ON, ON


2225

NAFEMS Input Listings SOLCONTROL,ON /OUT,SCRATCH DELT,1,1,1E4 TIME, 1E5 OUTRES,ALL,LAST OUTPR,ALL,ALL /OUT,SCRATCH SOLVE /SOLU NLGEOM,OFF RATE, ON, ON SOLCONTROL,ON /OUT,SCRATCH DELT,1,1,1E6 TIME, 1E7 OUTRES,ALL,LAST OUTPR,ALL,ALL /OUT,SCRATCH SOLVE /SOLU NLGEOM,OFF RATE, ON, ON SOLCONTROL,ON /OUT,SCRATCH DELT,1,1,1E7 TIME, 1E8 OUTRES,ALL,LAST OUTPR,ALL,ALL /OUT,SCRATCH SOLVE /SOLU NLGEOM,OFF RATE, ON, ON SOLCONTROL,ON /OUT,SCRATCH DELT,1,1,1E8 TIME, 1E10 OUTRES,ALL,ALL OUTPR,ALL,ALL /OUT,SCRATCH SOLVE FINISH /POST1 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,RADIUS /AXLAB,Y,EFFECTIVE STRESS /GTHK,AXIS,1 /GRTYP,0 /GROPT,ASCAL,ON /GROPT,AXDV,ON /GROPT,AXNM,ON /GROPT,AXNSC,ON /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,DIVX,2 /GROPT,DIVY,3 /XRANGE,0,300 /YRANGE,0,60,ALL SET,FIRST FLST,2,2,1 FITEM,2,24 FITEM,2,1 PATH,PATH,2,30,25,

2226


VM-R049-6 182 Input Listing PPATH,P51X,1 PDEF,STAT AVPRIN,0,0, PDEF,1E-8 ,S,EQV,AVG /PBC,PATH, ,0 /PSF,DEFA, ,1 /PBF,DEFA, ,1 /PSYMB,CS,0 /PSYMB,NDIR,0 /PSYMB,ESYS,0 /PSYMB,LDIR,0 /PSYMB,ECON,0 /PSYMB,XNODE,1 /PSYMB,DOT,1 /PSYMB,PCONV, /PSYMB,LAYR,0 /PBC,MAST, ,0 /PBC,CP, ,0 /PBC,CE, ,0 /PBC,ACEL, ,0 /PBC,OMEG, ,0 /PBC,PATH, ,1 /REP PLPATH,1E-8 PRPATH,1E-8 /NOERASE SET,NEXT PDEF,1E4 ,S,EQV,AVG /PBC,PATH, ,0 /PSF,DEFA, ,1,0 /PBF,DEFA, ,1 /PSYMB,CS,0 /PSYMB,NDIR,0 /PSYMB,ESYS,0 /PSYMB,LDIR,0 /PSYMB,ECON,1 /PSYMB,XNODE,0 /PSYMB,DOT,1 /PSYMB,PCONV, /PSYMB,LAYR,0 /PBC,MAST, ,0 /PBC,CP, ,0 /PBC,CE, ,0 /PBC,ACEL, ,0 /PBC,OMEG, ,0 /PBC,PATH, ,1 /REP PLPATH,1E4 PRPATH,1E4 /NOERASE SET,NEXT PDEF,1E5 ,S,EQV,AVG /PBC,PATH, ,0 /PSF,DEFA, ,1,0 /PBF,DEFA, ,1 /PSYMB,CS,0 /PSYMB,NDIR,0 /PSYMB,ESYS,0 /PSYMB,LDIR,0 /PSYMB,ECON,1 /PSYMB,XNODE,0 /PSYMB,DOT,1 /PSYMB,PCONV, /PSYMB,LAYR,0 /PBC,MAST, ,0 /PBC,CP, ,0 /PBC,CE, ,0 /PBC,ACEL, ,0 /PBC,OMEG, ,0 /PBC,PATH, ,1


2227

NAFEMS Input Listings /REP PLPATH,1E5 PRPATH,1E5 /NOERASE SET,NEXT PDEF,1E7 ,S,EQV,AVG /PBC,PATH, ,0 /PSF,DEFA, ,1,0 /PBF,DEFA, ,1 /PSYMB,CS,0 /PSYMB,NDIR,0 /PSYMB,ESYS,0 /PSYMB,LDIR,0 /PSYMB,ECON,1 /PSYMB,XNODE,0 /PSYMB,DOT,1 /PSYMB,PCONV, /PSYMB,LAYR,0 /PBC,MAST, ,0 /PBC,CP, ,0 /PBC,CE, ,0 /PBC,ACEL, ,0 /PBC,OMEG, ,0 /PBC,PATH, ,1 /REP PLPATH,1E7 PRPATH,1E7 /NOERASE SET,NEXT PDEF,1E8 ,S,EQV,AVG /PBC,PATH, ,0 /PSF,DEFA, ,1,0 /PBF,DEFA, ,1 /PSYMB,CS,0 /PSYMB,NDIR,0 /PSYMB,ESYS,0 /PSYMB,LDIR,0 /PSYMB,ECON,1 /PSYMB,XNODE,0 /PSYMB,DOT,1 /PSYMB,PCONV, /PSYMB,LAYR,0 /PBC,MAST, ,0 /PBC,CP, ,0 /PBC,CE, ,0 /PBC,ACEL, ,0 /PBC,OMEG, ,0 /PBC,PATH, ,1 /REP PLPATH,1E8 PRPATH,1E8 /NOERASE SET,LAST PDEF,1E10 ,S,EQV,AVG /PBC,PATH, ,0 /PSF,DEFA, ,1,0 /PBF,DEFA, ,1 /PSYMB,CS,0 /PSYMB,NDIR,0 /PSYMB,ESYS,0 /PSYMB,LDIR,0 /PSYMB,ECON,1 /PSYMB,XNODE,0 /PSYMB,DOT,1 /PSYMB,PCONV, /PSYMB,LAYR,0 /PBC,MAST, ,0 /PBC,CP, ,0 /PBC,CE, ,0

2228


VM-R049-6 182 Input Listing /PBC,ACEL, ,0 /PBC,OMEG, ,0 /PBC,PATH, ,1 /REP PLPATH,1E10 PRPATH,1E10 ERASE /ERASE /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,LOG(TIME) /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /GROPT,ASCAL,ON /GROPT,AXDV,ON /GROPT,AXNM,ON /GROPT,AXNSC,ON /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,LOGX,ON /GROPT,DIVX,10 /GROPT,DIVY,3 /XRANGE,1,1E10 /YRANGE,0,30 NODE1=NODE(200,0,0) NODE2=NODE(500,0,0) NSOL,2,NODE1,U,X NSOL,3,NODE2,U,X /GOPR /GOLIST PLVAR,2,3 PRVAR,2,3 /GROPT,DIVY,5 /YRANGE,0,50 ESOL,4,39,NODE1,S,EQV ESOL,5,19,35,S,EQV ESOL,6,1,1,S,EQV PLVAR,4,5,6 PRVAR,4,5,6 FINISH /POST1 SET,LIST SET,1,1 *GET,X1,NODE,2,S,EQV *GET,Y1,NODE,24,S,EQV *GET,Z1,NODE,35,S,EQV RX1=X1/3.17 RY1=Y1/44.71 RZ1=Z1/8.98 SET,2,27 *GET,X2,NODE,2,S,EQV *GET,Y2,NODE,24,S,EQV *GET,Z2,NODE,35,S,EQV RX2=X2/3.21 RY2=Y2/41.93 RZ2=Z2/9.08 SET,3,31 *GET,X3,NODE,2,S,EQV *GET,Y3,NODE,24,S,EQV *GET,Z3,NODE,35,S,EQV RX3=X3/3.42 RY3=Y3/34.56 RZ3=Z3/9.63 SET,4,43


2229

NAFEMS Input Listings *GET,X4,NODE,2,S,EQV *GET,Y4,NODE,24,S,EQV *GET,Z4,NODE,35,S,EQV RX4=X4/5.55 RY4=Y4/17.56 RZ4=Z4/15.54 SET,5,48 *GET,X5,NODE,2,S,EQV *GET,Y5,NODE,24,S,EQV *GET,Z5,NODE,35,S,EQV RX5=X5/9.12 RY5=Y5/13.33 RZ5=Z5/20.52 SET,6,53 *GET,X6,NODE,2,S,EQV *GET,Y6,NODE,24,S,EQV *GET,Z6,NODE,35,S,EQV RX6=X6/18.63 RY6=Y6/11.36 RZ6=Z6/17.83 SET,6,144 *GET,X7,NODE,2,S,EQV *GET,Y7,NODE,24,S,EQV *GET,Z7,NODE,35,S,EQV RX7=X7/21.16 RY7=Y7/11.25 RZ7=Z7/17.58 *DIM,VALUE1,,7,2 *DIM,VALUE2,,7,2 *DIM,VALUE3,,7,2 *DIM,LABEL3,CHAR,10 *DIM,LABEL1,CHAR,10 *DIM,LABEL2,CHAR,10 *DIM,LABEL4,CHAR,10 LABEL3(1) = ' 1E-8',' 1E4', ' 1E5', ' 1E7', ' 1E8',' 1E9', ' 1E10' LABEL1(1) = ' 3.17',' 3.21',' 3.42',' 5.55',' 9.12',' 18.63',' 21.16' *VFILL,VALUE1(1,1),DATA,X1,X2,X3,X4,X5,X6,X7 *VFILL,VALUE1(1,2),DATA,RX1,RX2,RX3,RX4,RX5,RX6,RX7 LABEL2(1) = ' 44.71',' 41.93',' 34.56',' 17.56',' 13.33',' 11.36',' 11.25' *VFILL,VALUE2(1,1),DATA,Y1,Y2,Y3,Y4,Y5,Y6,Y7 *VFILL,VALUE2(1,2),DATA,RY1,RY2,RY3,RY4,RY5,RY6,RY7 LABEL4(1) = ' 8.98',' 9.08',' 9.63',' 15.54',' 20.52',' 17.83',' 17.58' *VFILL,VALUE3(1,1),DATA,Z1,Z2,Z3,Z4,Z5,Z6,Z7 *VFILL,VALUE3(1,2),DATA,RZ1,RZ2,RZ3,RZ4,RZ5,RZ6,RZ7 /OUT /COM /COM /COM,--------- vmr049-cr6-182 RESULTS COMPARISON----------/COM, RADIUS=495 /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL3(1), LABEL1(1), VALUE1(1,1), VALUE1(1,2) (1X,A8,' ',A8,' ',F14.3,' ',F12.3) /SHOW,CLOSE /COM /COM /COM,--------- vmr049-cr6-182 RESULTS COMPARISON----------/COM, RADIUS=205 /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL3(1), LABEL2(1), VALUE2(1,1), VALUE2(1,2) (1X,A8,' ',A8,' ',F14.3,' ',F12.3) /SHOW,CLOSE /COM /COM /COM,--------- vmr049-cr6-182 RESULTS COMPARISON----------/COM, RADIUS=350 /COM,

2230


VM-R049-6 183 Input Listing /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL3(1), LABEL4(1), VALUE3(1,1), VALUE3(1,2) (1X,A8,' ',A8,' ',F14.3,' ',F12.3) /SHOW,CLOSE /OUT,SCRATCH *DIM,LABEL5,CHAR,7 *DIM,VALUE4,,3,3 LABEL5(1) = ' SR205 ',' SR350 ',' SR495 ' *VFILL,VALUE4(1,1),DATA,Y7,Z7,X7 *VFILL,VALUE4(1,2),DATA,RY7,RZ7,RX7 *DIM,LABEL6,CHAR,2 LABEL6(1) = 'vmr049-','cr6-182' /OUT,vmr049-cr6-182,vrt /COM /COM,------------------- vmr049-cr6 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 *VWRITE,LABEL5(1),VALUE4(1,1),VALUE4(1,2),LABEL6(1),LABEL6(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL5(2),VALUE4(2,1),VALUE4(2,2),LABEL6(1),LABEL6(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL5(3),VALUE4(3,1),VALUE4(3,2),LABEL6(1),LABEL6(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr6-182,vrt

VM-R049-6 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR049-CR6-183 /TITLE,VMR049-CR6-183,THERMALLY INDUCED CREEP BENCHMARK C*** REFERENCE NAFEMS100 /PREP7 CYL4,0,0,200,0,500,10 ET,1,PLANE183 KEYOPT,1,3,1 LSEL,S,LINE,,1,3,2 LESIZE,ALL,,,1 LSEL,ALL LSEL,S,LINE,,2,4,2 LESIZE,ALL,,,10 AMESH,ALL C*** PARAMETRIC INPUT FOR CREEP CONSTANTS !*** *SET,C1,3E-6 *SET,C2,5.5 *SET,C3,0 *SET,C4,12500 *SET,C5,0 *SET,C6,1 C*** TIME PARAMETER *SET,HOUR,1E9 C*** ELASTIC CONSTANT MP,EX,1,1E4 MP,NUXY,1,0.25 TOFF,0 TB,CREEP,1,,,2 TBDATA,1,C1,C2,C3,C4,C5,C6 CSYS,1 NSEL,ALL


2231

NAFEMS Input Listings NROTAT,ALL FINISH /SOLU RESCONTROL,,NONE NLGEOM,OFF RATE, OFF NSEL,S,LOC,Y D,ALL,UY NSEL,ALL NSEL,S,LOC,Y,10 D,ALL,UY NSEL,ALL NSEL,S,LOC,X,200 SF,ALL,PRES,30 NSEL,ALL *DO,I,1,53 *STATUS,I BF,I,TEMP,333*(1+100/NX(I)) *ENDDO DELT,1.0E-8,1E-8,1E-7 TIME, 1.0E-8 OUTRES,ALL,LAST OUTPR,ALL,LAST /OUT,scratch SOLVE /SOLU NLGEOM,OFF RATE, ON, ON SOLCONTROL,ON /OUT,scratch DELT,1,1,1E3 TIME, 1E4 OUTRES,ALL,LAST OUTPR,ALL,LAST SOLVE /SOLU NLGEOM,OFF RATE, ON, ON SOLCONTROL,ON /OUT,scratch DELT,1,1,1E4 TIME, 1E5 OUTRES,ALL,-5 OUTPR,ALL,-5 SOLVE /SOLU NLGEOM,OFF RATE, ON, ON SOLCONTROL,ON /OUT,scratch DELT,1,1,1E6 TIME, 1E7 OUTRES,ALL,-5 OUTPR,ALL,-5 SOLVE /SOLU NLGEOM,OFF RATE, ON, ON SOLCONTROL,ON /OUT,scratch DELT,1,1,1E7 TIME, 1E8 OUTRES,ALL,-5 OUTPR,ALL,-5 SOLVE /SOLU NLGEOM,OFF

2232


VM-R049-6 183 Input Listing RATE, ON, ON SOLCONTROL,ON /OUT,scratch DELT,1,1,1E8 TIME, 1E10 OUTRES,ALL,-10 OUTPR,ALL,-10 /OUT,scratch SOLVE FINISH

/POST1 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,RADIUS /AXLAB,Y,EFFECTIVE STRESS /GTHK,AXIS,1 /GRTYP,0 /GROPT,ASCAL,OFF /GROPT,AXDV,ON /GROPT,AXNM,ON /GROPT,AXNSC,ON /GROPT,DIG1,5 /GROPT,DIG2,3 /GROPT,DIVX,2 /GROPT,DIVY,3 /XRANGE,0,300 /YRANGE,0,60,ALL SET,FIRST FLSTT,2,2,1 FITEM,2,24 FITEM,2,1 PATH,P3,2,30,20, PPATH,P51X,1 PDEF,STAT AVPRIN,0,0, PDEF,1E-8,S,EQV,AVG /PBC,PATH, ,0 /PSF,DEFA, ,1 /PBF,DEFA, ,1 /PSYMB,CS,0 /PSYMB,NDIR,0 /PSYMB,ESYS,0 /PSYMB,LDIR,0 /PSYMB,ECON,0 /PSYMB,XNODE,1 /PSYMB,DOT,1 /PSYMB,PCONV, /PSYMB,LAYR,0 /PBC,MAST, ,0 /PBC,CP, ,0 /PBC,CE, ,0 /PBC,ACEL, ,0 /PBC,OMEG, ,0 /PBC,PATH, ,1 /REP PLPATH,1E-8 PRPATH,1E-8 /NOERASE SET,NEXT PDEF,1E4,S,EQV,AVG /PBC,PATH, ,0 /PSF,DEFA, ,1 /PBF,DEFA, ,1 /PSYMB,CS,0 /PSYMB,NDIR,0


2233

NAFEMS Input Listings /PSYMB,ESYS,0 /PSYMB,LDIR,0 /PSYMB,ECON,0 /PSYMB,XNODE,1 /PSYMB,DOT,1 /PSYMB,PCONV, /PSYMB,LAYR,0 /PBC,MAST, ,0 /PBC,CP, ,0 /PBC,CE, ,0 /PBC,ACEL, ,0 /PBC,OMEG, ,0 /PBC,PATH, ,1 /REP PLPATH,1E4 PRPATH,1E4 /NOERASE SET,NEXT PDEF,1E5,S,EQV,AVG /PBC,PATH, ,0 /PSF,DEFA, ,1 /PBF,DEFA, ,1 /PSYMB,CS,0 /PSYMB,NDIR,0 /PSYMB,ESYS,0 /PSYMB,LDIR,0 /PSYMB,ECON,0 /PSYMB,XNODE,1 /PSYMB,DOT,1 /PSYMB,PCONV, /PSYMB,LAYR,0 /PBC,MAST, ,0 /PBC,CP, ,0 /PBC,CE, ,0 /PBC,ACEL, ,0 /PBC,OMEG, ,0 /PBC,PATH, ,1 /REP PLPATH,1E5 PRPATH,1E5 /NOERASE SET,NEXT PDEF,1E7,S,EQV,AVG /PBC,PATH, ,0 /PSF,DEFA, ,1 /PBF,DEFA, ,1 /PSYMB,CS,0 /PSYMB,NDIR,0 /PSYMB,ESYS,0 /PSYMB,LDIR,0 /PSYMB,ECON,0 /PSYMB,XNODE,1 /PSYMB,DOT,1 /PSYMB,PCONV, /PSYMB,LAYR,0 /PBC,MAST, ,0 /PBC,CP, ,0 /PBC,CE, ,0 /PBC,ACEL, ,0 /PBC,OMEG, ,0 /PBC,PATH, ,1 /REP PLPATH,1E7 PRPATH,1E7 /NOERASE SET,NEXT PDEF,1E8,S,EQV,AVG /PBC,PATH, ,0 /PSF,DEFA, ,1

2234


VM-R049-6 183 Input Listing /PBF,DEFA, ,1 /PSYMB,CS,0 /PSYMB,NDIR,0 /PSYMB,ESYS,0 /PSYMB,LDIR,0 /PSYMB,ECON,0 /PSYMB,XNODE,1 /PSYMB,DOT,1 /PSYMB,PCONV, /PSYMB,LAYR,0 /PBC,MAST, ,0 /PBC,CP, ,0 /PBC,CE, ,0 /PBC,ACEL, ,0 /PBC,OMEG, ,0 /PBC,PATH, ,1 /REP PLPATH,1E8 PRPATH,1E8 /NOERASE SET,LAST PDEF,1E10,S,EQV,AVG /PBC,PATH, ,0 /PSF,DEFA, ,1 /PBF,DEFA, ,1 /PSYMB,CS,0 /PSYMB,NDIR,0 /PSYMB,ESYS,0 /PSYMB,LDIR,0 /PSYMB,ECON,0 /PSYMB,XNODE,1 /PSYMB,DOT,1 /PSYMB,PCONV, /PSYMB,LAYR,0 /PBC,MAST, ,0 /PBC,CP, ,0 /PBC,CE, ,0 /PBC,ACEL, ,0 /PBC,OMEG, ,0 /PBC,PATH, ,1 /REP PLPATH,1E10 PRPATH,1E10 ERASE /ERASE /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,LOG(TIME) /AXLAB,Y, /GTHK,AXIS,1 /GRTYP,0 /GROPT,ASCAL,OFF /GROPT,AXDV,ON /GROPT,AXNM,ON /GROPT,AXNSC,ON /GROPT,DIG1,3 /GROPT,DIG2,1 /GROPT,LOGX,ON /GROPT,DIVX,10 /GROPT,DIVY,3 /XRANGE,1,1E10 /YRANGE,0,30 NODE1=NODE(200,0,0) NODE2=NODE(500,0,0) NSOL,2,NODE1,U,X


2235

NAFEMS Input Listings NSOL,3,NODE2,U,X /GOPR /GOLIST PLVAR,2,3 PRVAR,2,3 /GROPT,DIVY,5 /YRANGE,0,50 ESOL,4,10,24,S,EQV ESOL,5,5,35,S,EQV ESOL,6,1,1,S,EQV PLVAR,4,5,6 PRVAR,4,5,6 FINISH /POST1 SET,1,1 *GET,X1,NODE,2,S,EQV *GET,Y1,NODE,24,S,EQV *GET,Z1,NODE,35,S,EQV RX1=X1/3.17 RY1=Y1/44.71 RZ1=Z1/8.98 SET,2,27 *GET,X2,NODE,2,S,EQV *GET,Y2,NODE,24,S,EQV *GET,Z2,NODE,35,S,EQV RX2=X2/3.21 RY2=Y2/41.93 RZ2=Z2/9.08 SET,3,31 *GET,X3,NODE,2,S,EQV *GET,Y3,NODE,24,S,EQV *GET,Z3,NODE,35,S,EQV RX3=X3/3.42 RY3=Y3/34.56 RZ3=Z3/9.63 SET,4,43 *GET,X4,NODE,2,S,EQV *GET,Y4,NODE,24,S,EQV *GET,Z4,NODE,35,S,EQV RX4=X4/5.55 RY4=Y4/17.56 RZ4=Z4/15.54 SET,5,48 *GET,X5,NODE,2,S,EQV *GET,Y5,NODE,24,S,EQV *GET,Z5,NODE,35,S,EQV RX5=X5/9.12 RY5=Y5/13.33 RZ5=Z5/20.52 SET,6,55 *GET,X6,NODE,2,S,EQV *GET,Y6,NODE,24,S,EQV *GET,Z6,NODE,35,S,EQV RX6=X6/18.63 RY6=Y6/11.36 RZ6=Z6/17.83 SET,6,144 *GET,X7,NODE,2,S,EQV *GET,Y7,NODE,24,S,EQV *GET,Z7,NODE,35,S,EQV RX7=X7/21.16 RY7=Y7/11.25 RZ7=Z7/17.58 *DIM,VALUE1,,7,2 *DIM,VALUE2,,7,2 *DIM,VALUE3,,7,2 *DIM,LABEL3,CHAR,10 *DIM,LABEL1,CHAR,10 *DIM,LABEL2,CHAR,10 *DIM,LABEL4,CHAR,10 LABEL3(1) = ' 1E-8','

2236

1E4', '

1E5', '

1E7', '

1E8','

1E9', '

1E10'


VM-R049-6 183 Input Listing LABEL1(1) = ' 3.17',' 3.21',' 3.42',' 5.55',' 9.12',' *VFILL,VALUE1(1,1),DATA,X1,X2,X3,X4,X5,X6,X7 *VFILL,VALUE1(1,2),DATA,RX1,RX2,RX3,RX4,RX5,RX6,RX7 LABEL2(1) = ' 44.71',' 41.93',' 34.56',' 17.56',' 13.33',' *VFILL,VALUE2(1,1),DATA,Y1,Y2,Y3,Y4,Y5,Y6,Y7 *VFILL,VALUE2(1,2),DATA,RY1,RY2,RY3,RY4,RY5,RY6,RY7 LABEL4(1) = ' 8.98',' 9.08',' 9.63',' 15.54',' 20.52',' *VFILL,VALUE3(1,1),DATA,Z1,Z2,Z3,Z4,Z5,Z6,Z7 *VFILL,VALUE3(1,2),DATA,RZ1,RZ2,RZ3,RZ4,RZ5,RZ6,RZ7 /OUT /COM /COM /COM,--------- vmr049-cr6-183 RESULTS COMPARISON----------/COM, RADIUS=495 /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL3(1), LABEL1(1), VALUE1(1,1), VALUE1(1,2) (1X,A8,' ',A8,' ',F14.3,' ',F12.3) /SHOW,CLOSE

18.63','

21.16'

11.36','

11.25'

17.83','

17.58'

/COM /COM /COM,--------- vmr049-cr6-183 RESULTS COMPARISON----------/COM, RADIUS=205 /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL3(1), LABEL2(1), VALUE2(1,1), VALUE2(1,2) (1X,A8,' ',A8,' ',F14.3,' ',F12.3) /SHOW,CLOSE /COM /COM /COM,--------- vmr049-cr6-183 RESULTS COMPARISON----------/COM, RADIUS=350 /COM, /COM,| TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,LABEL3(1), LABEL4(1), VALUE3(1,1), VALUE3(1,2) (1X,A8,' ',A8,' ',F14.3,' ',F12.3) /SHOW,CLOSE /OUT,SCRATCH *DIM,LABEL5,CHAR,7 *DIM,VALUE4,,3,3 LABEL5(1) = ' SR205 ',' SR350 ',' SR495 ' *VFILL,VALUE4(1,1),DATA,Y7,Z7,X7 *VFILL,VALUE4(1,2),DATA,RY7,RZ7,RX7 *DIM,LABEL6,CHAR,2 LABEL6(1) = 'vmr049-','cr6-183' /OUT,vmr049-cr6-183,vrt /COM /COM,------------------- vmr049-cr6 RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 *VWRITE,LABEL5(1),VALUE4(1,1),VALUE4(1,2),LABEL6(1),LABEL6(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL5(2),VALUE4(2,1),VALUE4(2,2),LABEL6(1),LABEL6(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL5(3),VALUE4(3,1),VALUE4(3,2),LABEL6(1),LABEL6(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-cr6-183,vrt


2237


VM-R049-PL1A 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,VMR049-PL1A-182 /TITLE, VMR049-PL1A-182, 2D PLANE STRAIN PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT-R0049 /PREP7 R = 2.5E-5 ET,1,182,,, KEYOPT,1,3,2 N,1,,,, N,2,0,1,, N,3,1,0,, N,4,1,1,, E, 1,3,4,2 MP,EX,1,250E3, MP,NUXY,1,0.25, TB,BISO,1,1, , , TBMODIF,2,1,5 TBMODIF,3,1,0.0 TB,HILL,1 TBDATA,1,1.0,1.0,1.0,1.0,1.0,1.0 NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Y,1.0 D,ALL,UY FINISH /SOLU NLGEOM,ON NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5

2238


VM-R049-PL1A 182 Input Listing SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,STEP /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /XRANGE,0,8 /YRANGE,-10,25 /OUT, ESOL,2,1,4,S,X, ESOL,3,1,4,S,Y, ESOL,4,1,4,S,Z, ESOL,5,1,4,S,EQV, PLVAR,2,3,4,5 PRVAR,2,3,4,5 *DIM,VALUEX,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEX(JJ,1),VARI,2,RTIME,JJ *ENDDO R1=VALUEX(1,1)/7.500 R2=VALUEX(2,1)/11.666 R3=VALUEX(3,1)/14.166 R4=VALUEX(4,1)/16.418 R5=VALUEX(5,1)/9.927 R6=VALUEX(6,1)/5.134 R7=VALUEX(7,1)/2.635 R8=VALUEX(8,1)/1.218 *DIM,VALUEY,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEY(JJ,1),VARI,3,RTIME,JJ *ENDDO R9=VALUEY(1,1)/2.500 R10=VALUEY(2,1)/6.666 R11=VALUEY(3,1)/14.166 R12=VALUEY(4,1)/19.669 R13=VALUEY(5,1)/15.622 R14=VALUEY(6,1)/10.745 R15=VALUEY(7,1)/3.245 R16=VALUEY(8,1)/(-3.715) *DIM,VALUEZ,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEZ(JJ,1),VARI,4,RTIME,JJ *ENDDO R17=VALUEZ(1,1)/2.500 R18=VALUEZ(2,1)/6.666 R19=VALUEZ(3,1)/9.166 R20=VALUEZ(4,1)/13.912 R21=VALUEZ(5,1)/11.951 R22=VALUEZ(6,1)/9.120


2239

NAFEMS Input Listings R23=VALUEZ(7,1)/6.620 R24=VALUEZ(8,1)/3.521 *DIM,VALUEEF,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEEF(JJ,1),VARI,5,RTIME,JJ *ENDDO R25=VALUEEF(1,1)/5.000 R26=VALUEEF(2,1)/5.000 R27=VALUEEF(3,1)/5.000 R28=VALUEEF(4,1)/5.000 R29=VALUEEF(5,1)/5.000 R30=VALUEEF(6,1)/5.000 R31=VALUEEF(7,1)/3.719 R32=VALUEEF(8,1)/5.000 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETZ,CHAR,10 *DIM,TARGETEF,CHAR,10 *DIM,RATIOX,,8,1 *DIM,RATIOY,,8,1 *DIM,RATIOZ,,8,1 *DIM,RATIOEF,,8,1 STEP(1)='1.0','2.0','3.0','4.0','5.0','6.0','7.0','8.0' TARGETX(1)='7.500','11.666','14.166','16.418','9.927','5.134','2.635','1.218' TARGETY(1)='2.500','6.666','14.166','19.669','15.622','10.745','3.245','-3.715' TARGETZ(1)='2.500','6.666','9.166','13.914','11.951','9.120','6.620','3.521' TARGETEF(1)='5.000','5.000','5.000','5.000','5.000','5.000','3.719','5.000' *VFILL,RATIOX,DATA,R1,R2,R3,R4,R5,R6,R7,R8 *VFILL,RATIOY,DATA,R9,R10,R11,R12,R13,R14,R15,R16 *VFILL,RATIOZ,DATA,R17,R18,R19,R20,R21,R22,R23,R24 *VFILL,RATIOEF,DATA,R25,R26,R27,R28,R29,R30,R31,R32 /COM, /COM, ----------- VMR049-PL1A-182 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl1a-182.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 49, FIGURE 2.14(A). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ VMR049-PL1A-182 STRESS RESULTS IN X DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ VMR049-PL1A-182 STRESS RESULTS IN Y DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ VMR049-PL1A-182 STRESS RESULTS IN Z DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETZ(1),VALUEZ(1,1),RATIOZ(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ VMR049-PL1A-182 EFFECTIVE STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETEF(1),VALUEEF(1,1),RATIOEF(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM,

2240


VM-R049-PL1A 183 Input Listing /COM, FINISH /POST26 *DIM,LABEL1,CHAR,3 *DIM,VALUE1,,3,3 LABEL1(1) = ' SX ',' SY ',' SZ ' *VFILL,VALUE1(1,1),DATA,VALUEX(6,1),VALUEY(6,1),VALUEZ(6,1) *VFILL,VALUE1(1,2),DATA,R6,R14,R22 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl1a-182' /OUT,vmr049-pl1a-182,vrt /COM /COM,------------------- vmr049-pl1a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 /COM, RESULTS LISTED USING LOAD STEP 6 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl1a-182,vrt

VM-R049-PL1A 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl1a-183 /TITLE, vmr049-pl1a-183, 2D PLANE STRAIN PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT-R0049, PL-1 /PREP7 R = 2.5E-5 ET,1,183,,, KEYOPT,1,3,2 N,1,,,, N,2,0.0,0.5,, N,3,0.0,1.0,, N,4,0.5,0.0,, N,5,0.5,1.0,, N,6,1.0,0.0,, N,7,1.0,0.5,, N,8,1.0,1.0,, E,1,6,8,3,4,7,5,2 MP,EX,1,250E3, MP,NUXY,1,0.25, TB,BISO,1,1, , , TBMODIF,2,1,5 TBMODIF,3,1,0.0 TB,HILL,1 TBDATA,1,1.0,1.0,1.0,1.0,1.0,1.0 NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Y,1.0 D,ALL,UY FINISH


2241

NAFEMS Input Listings /SOLU NLGEOM,ON NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,STEP /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /XRANGE,0,8 /YRANGE,-10,25 /OUT, ESOL,2,1,8,S,X, ESOL,3,1,3,S,Y, ESOL,4,1,8,S,Z, ESOL,5,1,8,S,EQV PLVAR,2,3,4,5

2242


VM-R049-PL1A 183 Input Listing PRVAR,2,3,4,5 *DIM,VALUEX,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEX(JJ,1),VARI,2,RTIME,JJ *ENDDO R1=VALUEX(1,1)/7.500 R2=VALUEX(2,1)/11.666 R3=VALUEX(3,1)/14.166 R4=VALUEX(4,1)/16.418 R5=VALUEX(5,1)/9.927 R6=VALUEX(6,1)/5.134 R7=VALUEX(7,1)/2.635 R8=VALUEX(8,1)/1.218 *DIM,VALUEY,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEY(JJ,1),VARI,3,RTIME,JJ *ENDDO R9=VALUEY(1,1)/2.500 R10=VALUEY(2,1)/6.666 R11=VALUEY(3,1)/14.166 R12=VALUEY(4,1)/19.669 R13=VALUEY(5,1)/15.622 R14=VALUEY(6,1)/10.745 R15=VALUEY(7,1)/3.245 R16=VALUEY(8,1)/(-3.715) *DIM,VALUEZ,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEZ(JJ,1),VARI,4,RTIME,JJ *ENDDO R17=VALUEZ(1,1)/2.500 R18=VALUEZ(2,1)/6.666 R19=VALUEZ(3,1)/9.166 R20=VALUEZ(4,1)/13.912 R21=VALUEZ(5,1)/11.951 R22=VALUEZ(6,1)/9.120 R23=VALUEZ(7,1)/6.620 R24=VALUEZ(8,1)/3.521 *DIM,VALUEEF,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEEF(JJ,1),VARI,5,RTIME,JJ *ENDDO R25=VALUEEF(1,1)/5.000 R26=VALUEEF(2,1)/5.000 R27=VALUEEF(3,1)/5.000 R28=VALUEEF(4,1)/5.000 R29=VALUEEF(5,1)/5.000 R30=VALUEEF(6,1)/5.000 R31=VALUEEF(7,1)/3.719 R32=VALUEEF(8,1)/5.000 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETZ,CHAR,10 *DIM,TARGETEF,CHAR,10 *DIM,RATIOX,,8,1 *DIM,RATIOY,,8,1 *DIM,RATIOZ,,8,1 *DIM,RATIOEF,,8,1 STEP(1)='1.0','2.0','3.0','4.0','5.0','6.0','7.0','8.0' TARGETX(1)='7.500','11.666','14.166','16.418','9.927','5.134','2.635','1.218' TARGETY(1)='2.500','6.666','14.166','19.669','15.622','10.745','3.245','-3.715' TARGETZ(1)='2.500','6.666','9.166','13.914','11.951','9.120','6.620','3.521' TARGETEF(1)='5.000','5.000','5.000','5.000','5.000','5.000','3.719','5.000' *VFILL,RATIOX,DATA,R1,R2,R3,R4,R5,R6,R7,R8 *VFILL,RATIOY,DATA,R9,R10,R11,R12,R13,R14,R15,R16 *VFILL,RATIOZ,DATA,R17,R18,R19,R20,R21,R22,R23,R24 *VFILL,RATIOEF,DATA,R25,R26,R27,R28,R29,R30,R31,R32


2243

NAFEMS Input Listings /COM, /COM, ----------- vmr049-pl1a-183 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl1a-183.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 49, FIGURE 2.11(A). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl1a-183 STRESS RESULTS IN X DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl1a-183 STRESS RESULTS IN Y DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl1a-183 STRESS RESULTS IN Z DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETZ(1),VALUEZ(1,1),RATIOZ(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl1a-183 EFFECTIVE STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETEF(1),VALUEEF(1,1),RATIOEF(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH /POST26 *DIM,LABEL1,CHAR,3 *DIM,VALUE1,,3,3 LABEL1(1) = ' SX ',' SY ',' SZ ' *VFILL,VALUE1(1,1),DATA,VALUEX(6,1),VALUEY(6,1),VALUEZ(6,1) *VFILL,VALUE1(1,2),DATA,R6,R14,R22 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl1a-183' /OUT,vmr049-pl1a-183,vrt /COM /COM,------------------- vmr049-pl1a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 /COM, RESULTS LISTED USING LOAD STEP 6 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl1a-183,vrt

2244


VM-R049-PL1B 182 Input Listing

VM-R049-PL1B 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl1b-182 /TITLE, vmr049-pl1b-182,2D PLANE STRAIN PLASTICITY BENCHMARK /COM,THE SOLUTION OBTAINED HERE IS COMPARED WITH THE SOLUTION GIVEN /COM,IN THE NAFEMS REPORT-R0049 /PREP7 R = 2.5E-5 ET,1,182,,, KEYOPT,1,3,2 N,1,,,, N,2,0,1,, N,3,1,0,, N,4,1,1,, E,1,3,4,2 MP,EX,1,250E3, MP,NUXY,1,0.25, TB,BISO,1,1, , , TBMODIF,2,1,5 TBMODIF,3,1,50000 TB,HILL,1 TBDATA,1,1.0,1.0,1.0,1.0,1.0,1.0 NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Y,1.0 D,ALL,UY FINISH /SOLU NLGEOM,ON NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,0.0 NSEL,ALL NSUBST,10,10,10,


2245

NAFEMS Input Listings OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,STEP /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /XRANGE,0,8 /YRANGE,-5,25 /OUT, ESOL,2,1,4,S,X, ESOL,3,1,4,S,Y, ESOL,4,1,4,S,Z, ESOL,5,1,4,S,EQV, PLVAR,2,3,4,5 PRVAR,2,3,4,5 *DIM,VALUEX,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEX(JJ,1),VARI,2,RTIME,JJ *ENDDO R1=VALUEX(1,1)/7.500 R2=VALUEX(2,1)/12.241 R3=VALUEX(3,1)/14.741 R4=VALUEX(4,1)/16.939 R5=VALUEX(5,1)/9.845 R6=VALUEX(6,1)/4.052 R7=VALUEX(7,1)/1.552 R8=VALUEX(8,1)/.324 *DIM,VALUEY,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEY(JJ,1),VARI,3,RTIME,JJ *ENDDO R9=VALUEY(1,1)/(2.500) R10=VALUEY(2,1)/(6.379) R11=VALUEY(3,1)/13.879 R12=VALUEY(4,1)/20.193 R13=VALUEY(5,1)/16.877 R14=VALUEY(6,1)/12.452 R15=VALUEY(7,1)/4.953 R16=VALUEY(8,1)/(1.441) *DIM,VALUEZ,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEZ(JJ,1),VARI,4,RTIME,JJ *ENDDO R17=VALUEZ(1,1)/2.500 R18=VALUEZ(2,1)/6.379 R19=VALUEZ(3,1)/8.879 R20=VALUEZ(4,1)/12.867 R21=VALUEZ(5,1)/10.777 R22=VALUEZ(6,1)/8.495 R23=VALUEZ(7,1)/5.995 R24=VALUEZ(8,1)/4.615

2246


VM-R049-PL1B 182 Input Listing *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETZ,CHAR,10 *DIM,RATIOX,,8,1 *DIM,RATIOY,,8,1 *DIM,RATIOZ,,8,1 STEP(1)='1.0','2.0','3.0','4.0','5.0','6.0','7.0','8.0' TARGETX(1)='7.500','12.241','14.741','16.938','9.845','4.052','1.552','0.324' TARGETY(1)='2.500','6.379','13.879','20.193','16.877','12.452','4.953','1.441' TARGETZ(1)='2.500','6.379','8.879','12.867','10.777','8.495','5.995','4.615' *VFILL,RATIOX,DATA,R1,R2,R3,R4,R5,R6,R7,R8 *VFILL,RATIOY,DATA,R9,R10,R11,R12,R13,R14,R15,R16 *VFILL,RATIOZ,DATA,R17,R18,R19,R20,R21,R22,R23,R24 /COM, /COM, ----------- vmr049-pl1b-182 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl1b-182.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 49, FIGURE 2.11(B). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl1b-182 STRESS RESULTS IN X DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl1b-182 STRESS RESULTS IN Y DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl1b-182 STRESS RESULTS IN Z DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETZ(1),VALUEZ(1,1),RATIOZ(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH *DIM,LABEL1,CHAR,3 *DIM,VALUE1,,3,3 LABEL1(1) = ' SX ',' SY ',' SZ ' *VFILL,VALUE1(1,1),DATA,VALUEX(7,1),VALUEY(7,1),VALUEZ(7,1) *VFILL,VALUE1(1,2),DATA,R7,R15,R23 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl1b-182' /OUT,vmr049-pl1b-182,vrt /COM /COM,------------------- vmr049-pl1b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 /COM, RESULTS REPORTED USING LOAD STEP 7 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT


2247


FINISH *LIST,vmr049-pl1b-182,vrt

VM-R049-PL1B 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl1b-183 /TITLE, vmr049-pl1b-183,2D PLANE STRAIN PLASTICITY BENCHMARK /COM,REFERENCE: NAFEMS REPORT, PL-1, R0049. /PREP7 R = 2.5E-5 ET,1,183,,, KEYOPT,1,3,2 N,1,,,, N,2,0.0,0.5,, N,3,0.0,1.0,, N,4,0.5,0.0,, N,5,0.5,1.0,, N,6,1.0,0.0,, N,7,1.0,0.5,, N,8,1.0,1.0,, E,1,6,8,3,4,7,5,2 MP,EX,1,250E3, MP,NUXY,1,0.25, TB,BISO,1,1, , , TBMODIF,2,1,5 TBMODIF,3,1,50000 TB,HILL,1 TBDATA,1,1.0,1.0,1.0,1.0,1.0,1.0 NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Y,1.0 D,ALL,UY FINISH /SOLU NLGEOM,ON NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,R

2248


VM-R049-PL1B 183 Input Listing NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,STEP /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /XRANGE,0,8 /YRANGE,-5,25 /OUT, ESOL,2,1,8,S,X, ESOL,3,1,8,S,Y, ESOL,4,1,8,S,Z, ESOL,5,1,8,S,EQV, PLVAR,2,3,4,5 PRVAR,2,3,4,5 *DIM,VALUEX,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEX(JJ,1),VARI,2,RTIME,JJ *ENDDO R1=VALUEX(1,1)/7.500 R2=VALUEX(2,1)/12.241 R3=VALUEX(3,1)/14.741 R4=VALUEX(4,1)/16.938 R5=VALUEX(5,1)/9.845 R6=VALUEX(6,1)/4.052 R7=VALUEX(7,1)/1.552 R8=VALUEX(8,1)/0.324 *DIM,VALUEY,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEY(JJ,1),VARI,3,RTIME,JJ *ENDDO R9=VALUEY(1,1)/2.500 R10=VALUEY(2,1)/6.379 R11=VALUEY(3,1)/13.879 R12=VALUEY(4,1)/20.193 R13=VALUEY(5,1)/16.877 R14=VALUEY(6,1)/12.452 R15=VALUEY(7,1)/4.953 R16=VALUEY(8,1)/1.441 *DIM,VALUEZ,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEZ(JJ,1),VARI,4,RTIME,JJ


2249

NAFEMS Input Listings *ENDDO R17=VALUEZ(1,1)/2.500 R18=VALUEZ(2,1)/6.379 R19=VALUEZ(3,1)/8.879 R20=VALUEZ(4,1)/12.867 R21=VALUEZ(5,1)/10.777 R22=VALUEZ(6,1)/8.495 R23=VALUEZ(7,1)/5.995 R24=VALUEZ(8,1)/4.615 *DIM,TIME,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETZ,CHAR,10 *DIM,RATIOX,,8,1 *DIM,RATIOY,,8,1 *DIM,RATIOZ,,8,1 TIME(1)='1.0','2.0','3.0','4.0','5.0','6.0','7.0','8.0' TARGETX(1)='7.500','12.241','14.741','16.938','9.845','4.052','1.552','0.324' TARGETY(1)='2.500','6.379','13.879','20.193','16.877','12.452','4.953','1.441' TARGETZ(1)='2.500','6.379','8.879','12.867','10.777','8.495','5.995','4.615' *VFILL,RATIOX,DATA,R1,R2,R3,R4,R5,R6,R7,R8 *VFILL,RATIOY,DATA,R9,R10,R11,R12,R13,R14,R15,R16 *VFILL,RATIOZ,DATA,R17,R18,R19,R20,R21,R22,R23,R24 /COM, /COM, ----------- vmr049-pl1b-183 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl1b-183.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS. THE RESULTS DISPLAYED ARE INCREMENTED /COM, FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl1b-183 STRESS RESULTS IN X DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,TIME(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl1b-183 STRESS RESULTS IN Y DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,TIME(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl1b-183 STRESS RESULTS IN Z DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,TIME(1),TARGETZ(1),VALUEZ(1,1),RATIOZ(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH *DIM,LABEL1,CHAR,3 *DIM,VALUE1,,3,3 LABEL1(1) = ' SX ',' SY ',' SZ ' *VFILL,VALUE1(1,1),DATA,VALUEX(7,1),VALUEY(7,1),VALUEZ(7,1) *VFILL,VALUE1(1,2),DATA,R7,R15,R23 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl1b-183' /OUT,vmr049-pl1b-183,vrt /COM /COM,------------------- vmr049-pl1b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 /COM, RESULTS REPORTED USING LOAD STEP 7

2250


VM-R049-PL2A 181 Input Listing *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl1b-183,vrt

VM-R049-PL2A 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl2a-181 /TITLE, vmr049-pl2a-181, 2D PLANE STRESS PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT: R0049 /PREP7 R = 2.5E-5 ET,1,181 N, 1, 0.0, 0.0 N, 2, 0.0, 1.0 N, 3, 1.0, 0.0 N, 4, 1.0, 1.0 E, 1,3,4,2 R,1,1.0 MP,EX,1,250E3 MP,NUXY,1,0.25 TB,BISO,1,1 TBMODIF,2,1,5 TBMODIF,3,1,0 TB,HILL,1 TBDATA,1,1.0,1.0,1.0,1.0,1.0,1.0 D,ALL,ROTX D,ALL,ROTY D,ALL,ROTZ NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Y,1.0 D,ALL,UY NSEL,ALL D,ALL,UZ D,ALL,ROTZ FINISH /SOLU NLGEOM,ON NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,X,1.0 D,ALL,UX,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT


2251

NAFEMS Input Listings NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,X,1.0 D,ALL,UX,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,STEP /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /XRANGE,0,8 /YRANGE,-8,8 ESOL,2,1,4,S,X, ESOL,3,1,4,S,Y, ESOL,4,1,4,S,EQV, PLVAR,2,3,4 PRVAR,2,3,4 *DIM,VALUEX,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEX(JJ,1),VARI,2,RTIME,JJ *ENDDO

2252


VM-R049-PL2A 181 Input Listing R1=VALUEX(1,1)/5.620 R2=VALUEX(2,1)/5.761 R3=VALUEX(3,1)/4.078 R4=VALUEX(4,1)/3.191 R5=VALUEX(5,1)/(-2.736) R6=VALUEX(6,1)/(-5.230) R7=VALUEX(7,1)/(-4.664) R8=VALUEX(8,1)/(-3.349) *DIM,VALUEY,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEY(JJ,1),VARI,3,RTIME,JJ *ENDDO R9=VALUEY(1,1)/1.666 R10=VALUEY(2,1)/2.551 R11=VALUEY(3,1)/5.578 R12=VALUEY(4,1)/5.762 R13=VALUEY(5,1)/3.035 R14=VALUEY(6,1)/(-0.497) R15=VALUEY(7,1)/(-5.279) R16=VALUEY(8,1)/(-5.747) *DIM,VALUEEF,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEEF(JJ,1),VARI,4,RTIME,JJ *ENDDO R17=VALUEEF(1,1)/5.000 R18=VALUEEF(2,1)/5.000 R19=VALUEEF(3,1)/5.000 R20=VALUEEF(4,1)/5.000 R21=VALUEEF(5,1)/5.000 R22=VALUEEF(6,1)/5.000 R23=VALUEEF(7,1)/5.000 R24=VALUEEF(8,1)/5.000 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETEF,CHAR,10 *DIM,RATIOX,,8,1 *DIM,RATIOY,,8,1 *DIM,RATIOEF,,8,1 STEP(1)='1.0','2.0','3.0','4.0','5.0','6.0','7.0','8.0' TARGETX(1)='5.620','5.761','4.078','3.191','-2.736','-5.230','-4.664','-3.349' TARGETY(1)='1.666','2.551','5.578','5.762','3.035','-0.497','-5.279','-5.747' TARGETEF(1)='5.000','5.000','5.000','5.000','5.000','5.000','5.000','5.000' *VFILL,RATIOX,DATA,R1,R2,R3,R4,R5,R6,R7,R8 *VFILL,RATIOY,DATA,R7,R8,R9,R10,R11,R12,R13,R14,R15,R16 *VFILL,RATIOEF,DATA,R17,R18,R19,R20,R21,R22,R23,R24 /COM, /COM, ----------- vmr049-pl2a-181 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl2a-181.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 52, FIGURE 2.14(A). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl2a-181 STRESS RESULTS IN X DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl2a-181 STRESS RESULTS IN Y DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl2a-181 EFFECTIVE RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO


2253

NAFEMS Input Listings /COM, *VWRITE,STEP(1),TARGETEF(1),VALUEEF(1,1),RATIOEF(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH /POST26 *DIM,LABEL1,CHAR,3 *DIM,VALUE1,,3,3 LABEL1(1) = ' SX ',' SY ',' SEFF ' *VFILL,VALUE1(1,1),DATA,VALUEX(8,1),VALUEY(8,1),VALUEEF(8,1) *VFILL,VALUE1(1,2),DATA,R8,R16,R24 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl2a-181' /OUT,vmr049-pl2a-181,vrt /COM /COM,------------------- vmr049-pl2a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL181 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl2a-181,vrt

VM-R049-PL2A 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl2a-182 /TITLE, vmr049-pl2a-182, 2D PLANE STRESS PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT: R0049 /PREP7 R = 2.5E-5 ET,1,182 KEYOPT,1,3,0 N, 1, 0.0, 0.0 N, 2, 0.0, 1.0 N, 3, 1.0, 0.0 N, 4, 1.0, 1.0 E, 1,3,4,2 MP,EX,1,250E3 MP,NUXY,1,0.25 TB,BISO,1,1 TBMODIF,2,1,5 TBMODIF,3,1,0 TB,HILL,1 TBDATA,1,1.0,1.0,1.0,1.0,1.0,1.0 NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Y,1.0 D,ALL,UY FINISH /SOLU NLGEOM,ON

2254


VM-R049-PL2A 182 Input Listing NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,X,1.0 D,ALL,UX,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE /OUT NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE /OUT NSEL,S,LOC,X,1.0 D,ALL,UX,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE /OUT FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1


2255

NAFEMS Input Listings /GROPT,CGRID,1 /AXLAB,X,STEP /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /XRANGE,0,8 /YRANGE,-8,8 ESOL,2,1,4,S,X, ESOL,3,1,4,S,Y, ESOL,4,1,4,S,EQV, PLVAR,2,3,4 PRVAR,2,3,4 *DIM,VALUEX,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEX(JJ,1),VARI,2,RTIME,JJ *ENDDO R1=VALUEX(1,1)/5.620 R2=VALUEX(2,1)/5.761 R3=VALUEX(3,1)/4.078 R4=VALUEX(4,1)/3.191 R5=VALUEX(5,1)/(-2.736) R6=VALUEX(6,1)/(-5.230) R7=VALUEX(7,1)/(-4.664) R8=VALUEX(8,1)/(-3.349) *DIM,VALUEY,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEY(JJ,1),VARI,3,RTIME,JJ *ENDDO R9=VALUEY(1,1)/1.666 R10=VALUEY(2,1)/2.551 R11=VALUEY(3,1)/5.578 R12=VALUEY(4,1)/5.762 R13=VALUEY(5,1)/3.035 R14=VALUEY(6,1)/(-0.497) R15=VALUEY(7,1)/(-5.279) R16=VALUEY(8,1)/(-5.747) *DIM,VALUEEF,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEEF(JJ,1),VARI,4,RTIME,JJ *ENDDO R17=VALUEEF(1,1)/5.000 R18=VALUEEF(2,1)/5.000 R19=VALUEEF(3,1)/5.000 R20=VALUEEF(4,1)/5.000 R21=VALUEEF(5,1)/5.000 R22=VALUEEF(6,1)/5.000 R23=VALUEEF(7,1)/5.000 R24=VALUEEF(8,1)/5.000 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETEF,CHAR,10 *DIM,RATIOX,,8,1 *DIM,RATIOY,,8,1 *DIM,RATIOEF,,8,1 STEP(1)='1.0','2.0','3.0','4.0','5.0','6.0','7.0','8.0' TARGETX(1)='5.620','5.761','4.078','3.191','-2.736','-5.230','-4.664','-3.349' TARGETY(1)='1.666','2.551','5.578','5.762','3.035','-0.497','-5.279','-5.747' TARGETEF(1)='5.000','5.000','5.000','5.000','5.000','5.000','5.000','5.000' *VFILL,RATIOX,DATA,R1,R2,R3,R4,R5,R6,R7,R8 *VFILL,RATIOY,DATA,R7,R8,R9,R10,R11,R12,R13,R14,R15,R16 *VFILL,RATIOEF,DATA,R17,R18,R19,R20,R21,R22,R23,R24 /COM, /COM, ----------- vmr049-pl2a-182 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl2a-182.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 52, FIGURE 2.14(A). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl2a-182 STRESS RESULTS IN X DIRECTION ------/COM,

2256


VM-R049-PL2A 183 Input Listing /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl2a-182 STRESS RESULTS IN Y DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl2a-182 EFFECTIVE RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETEF(1),VALUEEF(1,1),RATIOEF(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH /POST26 *DIM,LABEL1,CHAR,3 *DIM,VALUE1,,3,3 LABEL1(1) = ' SX ',' SY ',' SEFF ' *VFILL,VALUE1(1,1),DATA,VALUEX(8,1),VALUEY(8,1),VALUEEF(8,1) *VFILL,VALUE1(1,2),DATA,R8,R16,R24 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl2a-182' /OUT,vmr049-pl2a-182,vrt /COM /COM,------------------- vmr049-pl2a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl2a-182,vrt

VM-R049-PL2A 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl2a-183 /TITLE, vmr049-pl2a-183, 2D PLANE STRESS PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT: R0049 /PREP7 R = 2.5E-5 ET,1,183 KEYOPT,1,3,0 N, 1, 0.0, 0.0 N, 2, 0.0, 0.5 N, 3, 0.0, 1.0 N, 4, 0.5, 0.0 N, 5, 0.5, 1.0 N, 6, 1.0, 0.0


2257

NAFEMS Input Listings N, 7, 1.0, 0.5 N, 8, 1.0, 1.0 E, 1,6,8,3,4,7,5,2 MP,EX,1,250E3 MP,NUXY,1,0.25 TB,BISO,1,1 TBMODIF,2,1,5 TBMODIF,3,1,0 TB,HILL,1 TBDATA,1,1.0,1.0,1.0,1.0,1.0,1.0 NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Y,1.0 D,ALL,UY FINISH /SOLU NLGEOM,ON NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE /OUT NSEL,S,LOC,X,1.0 D,ALL,UX,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE /OUT NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE /OUT NSEL,S,LOC,X,1.0 D,ALL,UX,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10,

2258


VM-R049-PL2A 183 Input Listing OUTRES,ALL,5 /OUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE /OUT FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,STEP /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /XRANGE,0,8 /YRANGE,-8,8 ESOL,2,1,8,S,X, ESOL,3,1,8,S,Y, ESOL,4,1,8,S,EQV, PLVAR,2,3,4 PRVAR,2,3,4 *DIM,VALUEX,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEX(JJ,1),VARI,2,RTIME,JJ *ENDDO R1=VALUEX(1,1)/5.620 R2=VALUEX(2,1)/5.761 R3=VALUEX(3,1)/4.078 R4=VALUEX(4,1)/3.191 R5=VALUEX(5,1)/(-2.736) R6=VALUEX(6,1)/(-5.230) R7=VALUEX(7,1)/(-4.664) R8=VALUEX(8,1)/(-3.349) *DIM,VALUEY,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEY(JJ,1),VARI,3,RTIME,JJ *ENDDO R9=VALUEY(1,1)/1.666 R10=VALUEY(2,1)/2.551 R11=VALUEY(3,1)/5.578 R12=VALUEY(4,1)/5.762 R13=VALUEY(5,1)/3.035 R14=VALUEY(6,1)/(-0.497) R15=VALUEY(7,1)/(-5.279) R16=VALUEY(8,1)/(-5.747) *DIM,VALUEEF,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEEF(JJ,1),VARI,4,RTIME,JJ *ENDDO R17=VALUEEF(1,1)/5.000 R18=VALUEEF(2,1)/5.000 R19=VALUEEF(3,1)/5.000 R20=VALUEEF(4,1)/5.000 R21=VALUEEF(5,1)/5.000 R22=VALUEEF(6,1)/5.000 R23=VALUEEF(7,1)/5.000 R24=VALUEEF(8,1)/5.000 *DIM,TIME,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETEF,CHAR,10


2259

NAFEMS Input Listings *DIM,RATIOX,,8,1 *DIM,RATIOY,,8,1 *DIM,RATIOEF,,8,1 TIME(1)='1.0','2.0','3.0','4.0','5.0','6.0','7.0','8.0' TARGETX(1)='5.620','5.761','4.078','3.191','-2.736','-5.230','-4.664','-3.349' TARGETY(1)='1.666','2.551','5.578','5.762','3.035','-0.497','-5.279','-5.747' TARGETEF(1)='5.000','5.000','5.000','5.000','5.000','5.000','5.000','5.000' *VFILL,RATIOX,DATA,R1,R2,R3,R4,R5,R6,R7,R8 *VFILL,RATIOY,DATA,R9,R10,R11,R12,R13,R14,R15,R16 *VFILL,RATIOEF,DATA,R17,R18,R19,R20,R21,R22,R23,R24 /COM, /COM, ----------- vmr049-pl2a-183 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl2a-183.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 52, FIGURE 2.14(A). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl2a-183 STRESS RESULTS IN X DIRECTION ------/COM, /COM, | TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,TIME(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl2a-183 STRESS RESULTS IN Y DIRECTION ------/COM, /COM, | TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,TIME(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl2a-183 EFFECTIVE STRESS RESULTS ------/COM, /COM, | TIME | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,TIME(1),TARGETEF(1),VALUEEF(1,1),RATIOEF(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH /POST26 *DIM,LABEL1,CHAR,3 *DIM,VALUE1,,3,3 LABEL1(1) = ' SX ',' SY ',' SEFF ' *VFILL,VALUE1(1,1),DATA,VALUEX(8,1),VALUEY(8,1),VALUEEF(8,1) *VFILL,VALUE1(1,2),DATA,R8,R16,R24 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl2a-183' /OUT,vmr049-pl2a-183,vrt /COM /COM,------------------- vmr049-pl2a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl2a-183,vrt

2260


VM-R049-PL2A 281 Input Listing

VM-R049-PL2A 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl2a-281 /TITLE, vmr049-pl2a-281, 2D PLANE STRESS PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT: R0049 /PREP7 R = 2.5E-5 ET,1,SHELL281 N, 1, 0.0, 0.0 N, 2, 0.0, 1.0 N, 3, 1.0, 0.0 N, 4, 1.0, 1.0 N, 5, 0.5, 0.0 N, 6, 1.0, 0.5 N, 7, 0.5, 1.0 N, 8, 0.0, 0.5 E, 1,3,4,2,5,6,7,8 R,1,1.0 MP,EX,1,250E3 MP,NUXY,1,0.25 TB,BISO,1,1 TBMODIF,2,1,5 TBMODIF,3,1,0 TB,HILL,1 TBDATA,1,1.0,1.0,1.0,1.0,1.0,1.0 D,ALL,ROTX D,ALL,ROTY D,ALL,ROTZ NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Y,1.0 D,ALL,UY NSEL,ALL D,ALL,UZ D,ALL,ROTZ FINISH /SOLU NLGEOM,ON NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,X,1.0 D,ALL,UX,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,2*R NSEL,ALL NSUBST,10,10,10,


2261

NAFEMS Input Listings OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,X,1.0 D,ALL,UX,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,STEP /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /XRANGE,0,8 /YRANGE,-8,8 ESOL,2,1,4,S,X, ESOL,3,1,4,S,Y, ESOL,4,1,4,S,EQV, PLVAR,2,3,4 PRVAR,2,3,4 *DIM,VALUEX,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEX(JJ,1),VARI,2,RTIME,JJ *ENDDO R1=VALUEX(1,1)/5.620 R2=VALUEX(2,1)/5.761 R3=VALUEX(3,1)/4.078 R4=VALUEX(4,1)/3.191 R5=VALUEX(5,1)/(-2.736) R6=VALUEX(6,1)/(-5.230) R7=VALUEX(7,1)/(-4.664) R8=VALUEX(8,1)/(-3.349) *DIM,VALUEY,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEY(JJ,1),VARI,3,RTIME,JJ *ENDDO R9=VALUEY(1,1)/1.666

2262


VM-R049-PL2A 281 Input Listing R10=VALUEY(2,1)/2.551 R11=VALUEY(3,1)/5.578 R12=VALUEY(4,1)/5.762 R13=VALUEY(5,1)/3.035 R14=VALUEY(6,1)/(-0.497) R15=VALUEY(7,1)/(-5.279) R16=VALUEY(8,1)/(-5.747) *DIM,VALUEEF,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEEF(JJ,1),VARI,4,RTIME,JJ *ENDDO R17=VALUEEF(1,1)/5.000 R18=VALUEEF(2,1)/5.000 R19=VALUEEF(3,1)/5.000 R20=VALUEEF(4,1)/5.000 R21=VALUEEF(5,1)/5.000 R22=VALUEEF(6,1)/5.000 R23=VALUEEF(7,1)/5.000 R24=VALUEEF(8,1)/5.000 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETEF,CHAR,10 *DIM,RATIOX,,8,1 *DIM,RATIOY,,8,1 *DIM,RATIOEF,,8,1 STEP(1)='1.0','2.0','3.0','4.0','5.0','6.0','7.0','8.0' TARGETX(1)='5.620','5.761','4.078','3.191','-2.736','-5.230','-4.664','-3.349' TARGETY(1)='1.666','2.551','5.578','5.762','3.035','-0.497','-5.279','-5.747' TARGETEF(1)='5.000','5.000','5.000','5.000','5.000','5.000','5.000','5.000' *VFILL,RATIOX,DATA,R1,R2,R3,R4,R5,R6,R7,R8 *VFILL,RATIOY,DATA,R7,R8,R9,R10,R11,R12,R13,R14,R15,R16 *VFILL,RATIOEF,DATA,R17,R18,R19,R20,R21,R22,R23,R24 /COM, /COM, ----------- vmr049-pl2a-281 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl2a-281.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 52, FIGURE 2.14(A). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl2a-281 STRESS RESULTS IN X DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl2a-281 STRESS RESULTS IN Y DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl2a-281 EFFECTIVE RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETEF(1),VALUEEF(1,1),RATIOEF(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH /POST26 *DIM,LABEL1,CHAR,3 *DIM,VALUE1,,3,3 LABEL1(1) = ' SX ',' SY ',' SEFF ' *VFILL,VALUE1(1,1),DATA,VALUEX(8,1),VALUEY(8,1),VALUEEF(8,1) *VFILL,VALUE1(1,2),DATA,R8,R16,R24 *DIM,LABEL2,CHAR,2


2263

NAFEMS Input Listings LABEL2(1) = 'vmr049-','pl2a-281' /OUT,vmr049-pl2a-281,vrt /COM /COM,------------------- vmr049-pl2a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL281 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F12.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F12.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F12.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl2a-281,vrt

VM-R049-PL2B 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl2b-181 /TITLE, vmr049-pl2b-181, 2D PLANE STRESS PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT: R0049 /PREP7 R = 2.5E-5 ET,1,181,,, KEYOPT,1,3,0 N, 1, 0.0, 0.0 N, 2, 0.0, 1.0 N, 3, 1.0, 0.0 N, 4, 1.0, 1.0 E, 1,3,4,2 R,1,1.0 MP,EX ,1,250E3, MP,NUXY,1,0.25, TB,BISO,1, , , , TBMODIF,2,1,5 TBMODIF,3,1,50000 TB,HILL,1 TBDATA,1,1.0,1.0,1.0,1.0,1.0,1.0 D,ALL,ROTX D,ALL,ROTY D,ALL,ROTZ NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Y,1.0 D,ALL,UY NSEL,ALL D,ALL,UZ D,ALL,ROTZ FINISH /SOLU NLGEOM,ON NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT

2264


VM-R049-PL2B 181 Input Listing NSEL,S,LOC,X,1.0 D,ALL,UX,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,X,1.0 D,ALL,UX,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 /XRANGE,0,8 /YRANGE,-10,10 /AXLAB,X,STEP /AXLAB,Y,STRESS ESOL,2,1,4,S,X, ESOL,3,1,4,S,Y, ESOL,4,1,4,S,EQV, PRVAR,2,3,4 PLVAR,2,3,4 *DIM,VALUEX,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEX(JJ,1),VARI,2,RTIME,JJ *ENDDO


2265

NAFEMS Input Listings R1=VALUEX(1,1)/5.845 R2=VALUEX(2,1)/7.484 R3=VALUEX(3,1)/6.838 R4=VALUEX(4,1)/6.136 R5=VALUEX(5,1)/(-0.530) R6=VALUEX(6,1)/(-5.822) R7=VALUEX(7,1)/(-7.489) R8=VALUEX(8,1)/(-9.155) *DIM,VALUEY,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEY(JJ,1),VARI,3,RTIME,JJ *ENDDO R9=VALUEY(1,1)/1.673 R10=VALUEY(2,1)/2.944 R11=VALUEY(3,1)/7.742 R12=VALUEY(4,1)/9.925 R13=VALUEY(5,1)/8.259 R14=VALUEY(6,1)/4.842 R15=VALUEY(7,1)/(-1.824) R16=VALUEY(8,1)/(-8.491) *DIM,VALUEEF,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEEF(JJ,1),VARI,4,RTIME,JJ *ENDDO R17=VALUEEF(1,1)/5.214 R18=VALUEEF(2,1)/6.531 R19=VALUEEF(3,1)/7.332 R20=VALUEEF(4,1)/8.675 R21=VALUEEF(5,1)/8.536 R22=VALUEEF(6,1)/9.248 R23=VALUEEF(7,1)/6.764 R24=VALUEEF(8,1)/8.842 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETEF,CHAR,10 *DIM,RATIOX,,8,1 *DIM,RATIOY,,8,1 *DIM,RATIOEF,,8,1 STEP(1)='1.0','2.0','3.0','4.0','5.0','6.0','7.0','8.0' TARGETX(1)='5.845','7.484','6.838','6.136','-0.530','-5.822','-7.489','-9.155' TARGETY(1)='1.673','2.944','7.742','9.925','8.259','4.842','-1.824','-8.491' TARGETEF(1)='5.214','6.531','7.332','8.675','8.536','9.248','6.764','8.842' *VFILL,RATIOX,DATA,R1,R2,R3,R4,R5,R6,R7,R8 *VFILL,RATIOY,DATA,R9,R10,R11,R12,R13,R14,R15,R16 *VFILL,RATIOEF,DATA,R17,R18,R19,R20,R21,R22,R23,R24 /COM, /COM, ----------- vmr049-pl2b-181 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl2b-181.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 52, FIGURE 2.14(B). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl2b-181 STRESS RESULTS IN X DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl2b-181 STRESS RESULTS IN Y DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl2b-181 EFFECTIVE STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO

2266


VM-R049-PL2B 182 Input Listing /COM, *VWRITE,STEP(1),TARGETEF(1),VALUEEF(1,1),RATIOEF(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH /POST26 *DIM,LABEL1,CHAR,3 *DIM,VALUE1,,3,3 LABEL1(1) = ' SX ',' SY ',' SEFF ' *VFILL,VALUE1(1,1),DATA,VALUEX(8,1),VALUEY(8,1),VALUEEF(8,1) *VFILL,VALUE1(1,2),DATA,R8,R16,R24 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl2b-181' /OUT,vmr049-pl2b-181,vrt /COM /COM,------------------- vmr049-pl2b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL181 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl2b-181,vrt

VM-R049-PL2B 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl2b-182 /TITLE, vmr049-pl2b-182, 2D PLANE STRESS PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT: R0049 /PREP7 R = 2.5E-5 ET,1,182,,, KEYOPT,1,3,0 N, 1, 0.0, 0.0 N, 2, 0.0, 1.0 N, 3, 1.0, 0.0 N, 4, 1.0, 1.0 E, 1,3,4,2 MP,EX ,1,250E3, MP,NUXY,1,0.25, TB,BISO,1, , , , TBMODIF,2,1,5 TBMODIF,3,1,50000 TB,HILL,1 TBDATA,1,1.0,1.0,1.0,1.0,1.0,1.0 NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Y,1.0 D,ALL,UY /SOLU NLGEOM,ON


2267

NAFEMS Input Listings NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /GTHK,AXIS,1 /GRTYP,0 /XRANGE,0,8 /YRANGE,-10,10 /AXLAB,X,STEP /AXLAB,Y,STRESS /OUT, ESOL,2,1,4,S,X, ESOL,3,1,4,S,Y, ESOL,4,1,4,S,EQV, PRVAR,2,3,4 PLVAR,2,3,4 *DIM,VALUEX,ARRAY,8,1 *DO,JJ,1,8,1

2268


VM-R049-PL2B 182 Input Listing *GET,VALUEX(JJ,1),VARI,2,RTIME,JJ *ENDDO R1=VALUEX(1,1)/5.845 R2=VALUEX(2,1)/7.484 R3=VALUEX(3,1)/6.838 R4=VALUEX(4,1)/6.136 R5=VALUEX(5,1)/(-0.530) R6=VALUEX(6,1)/(-5.822) R7=VALUEX(7,1)/(-7.489) R8=VALUEX(8,1)/(-9.155) *DIM,VALUEY,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEY(JJ,1),VARI,3,RTIME,JJ *ENDDO R9=VALUEY(1,1)/1.673 R10=VALUEY(2,1)/2.944 R11=VALUEY(3,1)/7.742 R12=VALUEY(4,1)/9.925 R13=VALUEY(5,1)/8.259 R14=VALUEY(6,1)/4.842 R15=VALUEY(7,1)/(-1.824) R16=VALUEY(8,1)/(-8.491) *DIM,VALUEEF,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEEF(JJ,1),VARI,4,RTIME,JJ *ENDDO R17=VALUEEF(1,1)/5.214 R18=VALUEEF(2,1)/6.531 R19=VALUEEF(3,1)/7.332 R20=VALUEEF(4,1)/8.675 R21=VALUEEF(5,1)/8.536 R22=VALUEEF(6,1)/9.248 R23=VALUEEF(7,1)/6.764 R24=VALUEEF(8,1)/8.842 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETEF,CHAR,10 *DIM,RATIOX,,8,1 *DIM,RATIOY,,8,1 *DIM,RATIOEF,,8,1 STEP(1)='1.0','2.0','3.0','4.0','5.0','6.0','7.0','8.0' TARGETX(1)='5.845','7.484','6.838','6.136','-0.530','-5.822','-7.489','-9.155' TARGETY(1)='1.673','2.944','7.742','9.925','8.259','4.842','-1.824','-8.491' TARGETEF(1)='5.214','6.531','7.332','8.675','8.536','9.248','6.764','8.842' *VFILL,RATIOX,DATA,R1,R2,R3,R4,R5,R6,R7,R8 *VFILL,RATIOY,DATA,R9,R10,R11,R12,R13,R14,R15,R16 *VFILL,RATIOEF,DATA,R17,R18,R19,R20,R21,R22,R23,R24 /COM, /COM, ----------- vmr049-pl2b-182 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl2b-182.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 52, FIGURE 2.14(B). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl2b-182 STRESS RESULTS IN X DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl2b-182 STRESS RESULTS IN Y DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl2b-182 EFFECTIVE STRESS RESULTS -------


2269

NAFEMS Input Listings /COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETEF(1),VALUEEF(1,1),RATIOEF(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH /POST26 *DIM,LABEL1,CHAR,3 *DIM,VALUE1,,3,3 LABEL1(1) = ' SX ',' SY ',' SEFF ' *VFILL,VALUE1(1,1),DATA,VALUEX(8,1),VALUEY(8,1),VALUEEF(8,1) *VFILL,VALUE1(1,2),DATA,R8,R16,R24 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl2b-182' /OUT,vmr049-pl2b-182,vrt /COM /COM,------------------- vmr049-pl2b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl2b-182,vrt

VM-R049-PL2B 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl2b-281 /TITLE, vmr049-pl2b-281, 2D PLANE STRESS PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT: R0049 /PREP7 R = 2.5E-5 ET,1,SHELL281,,, KEYOPT,1,3,0 N, 1, 0.0, 0.0 N, 2, 0.0, 1.0 N, 3, 1.0, 0.0 N, 4, 1.0, 1.0 N, 5, 0.5, 0.0 N, 6, 1.0, 0.5 N, 7, 0.5, 1.0 N, 8, 0.0, 0.5 E, 1,3,4,2,5,6,7,8 R,1,1.0 MP,EX ,1,250E3, MP,NUXY,1,0.25, TB,BISO,1, , , , TBMODIF,2,1,5 TBMODIF,3,1,50000 TB,HILL,1 TBDATA,1,1.0,1.0,1.0,1.0,1.0,1.0 D,ALL,ROTX D,ALL,ROTY D,ALL,ROTZ

2270


VM-R049-PL2B 281 Input Listing NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Y,1.0 D,ALL,UY NSEL,ALL D,ALL,UZ D,ALL,ROTZ FINISH /SOLU NLGEOM,ON NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,X,1.0 D,ALL,UX,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,X,1.0 D,ALL,UX,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT NSEL,S,LOC,Y,1.0 D,ALL,UY,0.0 NSEL,ALL NSUBST,10,10,10,


2271

NAFEMS Input Listings OUTRES,ALL,5 /OUTPUT,SCRATCH SOLVE /OUT FINISH /POST26 /XRANGE,0,8 /YRANGE,-10,10 /AXLAB,X,STEP /AXLAB,Y,STRESS ESOL,2,1,4,S,X, ESOL,3,1,4,S,Y, ESOL,4,1,4,S,EQV, PRVAR,2,3,4 PLVAR,2,3,4 *DIM,VALUEX,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEX(JJ,1),VARI,2,RTIME,JJ *ENDDO R1=VALUEX(1,1)/5.845 R2=VALUEX(2,1)/7.484 R3=VALUEX(3,1)/6.838 R4=VALUEX(4,1)/6.136 R5=VALUEX(5,1)/(-0.530) R6=VALUEX(6,1)/(-5.822) R7=VALUEX(7,1)/(-7.489) R8=VALUEX(8,1)/(-9.155) *DIM,VALUEY,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEY(JJ,1),VARI,3,RTIME,JJ *ENDDO R9=VALUEY(1,1)/1.673 R10=VALUEY(2,1)/2.944 R11=VALUEY(3,1)/7.742 R12=VALUEY(4,1)/9.925 R13=VALUEY(5,1)/8.259 R14=VALUEY(6,1)/4.842 R15=VALUEY(7,1)/(-1.824) R16=VALUEY(8,1)/(-8.491) *DIM,VALUEEF,ARRAY,8,1 *DO,JJ,1,8,1 *GET,VALUEEF(JJ,1),VARI,4,RTIME,JJ *ENDDO R17=VALUEEF(1,1)/5.214 R18=VALUEEF(2,1)/6.531 R19=VALUEEF(3,1)/7.332 R20=VALUEEF(4,1)/8.675 R21=VALUEEF(5,1)/8.536 R22=VALUEEF(6,1)/9.248 R23=VALUEEF(7,1)/6.764 R24=VALUEEF(8,1)/8.842 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETEF,CHAR,10 *DIM,RATIOX,,8,1 *DIM,RATIOY,,8,1 *DIM,RATIOEF,,8,1 STEP(1)='1.0','2.0','3.0','4.0','5.0','6.0','7.0','8.0' TARGETX(1)='5.845','7.484','6.838','6.136','-0.530','-5.822','-7.489','-9.155' TARGETY(1)='1.673','2.944','7.742','9.925','8.259','4.842','-1.824','-8.491' TARGETEF(1)='5.214','6.531','7.332','8.675','8.536','9.248','6.764','8.842' *VFILL,RATIOX,DATA,R1,R2,R3,R4,R5,R6,R7,R8 *VFILL,RATIOY,DATA,R9,R10,R11,R12,R13,R14,R15,R16 *VFILL,RATIOEF,DATA,R17,R18,R19,R20,R21,R22,R23,R24 /COM, /COM, ----------- vmr049-pl2b-281 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl2b-281.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 52, FIGURE 2.14(B). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM,

2272


VM-R049-PL3A 185 Input Listing /COM, /COM, ------ vmr049-pl2b-281 STRESS RESULTS IN X DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl2b-281 STRESS RESULTS IN Y DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl2b-281 EFFECTIVE STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETEF(1),VALUEEF(1,1),RATIOEF(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH /POST26 *DIM,LABEL1,CHAR,3 *DIM,VALUE1,,3,3 LABEL1(1) = ' SX ',' SY ',' SEFF ' *VFILL,VALUE1(1,1),DATA,VALUEX(8,1),VALUEY(8,1),VALUEEF(8,1) *VFILL,VALUE1(1,2),DATA,R8,R16,R24 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl2b-281' /OUT,vmr049-pl2b-281,vrt /COM /COM,------------------- vmr049-pl2b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SHELL281 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl2b-281,vrt

VM-R049-PL3A 185 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl3a-185 /TITLE, vmr049-pl3a-185, 3D PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT: R0049, PL-3 /PREP7 R = 2.5E-5 ET,1,185 N, 1, 0.0, N, 2, 0.0, N, 3, 1.0, N, 4, 1.0, N, 5, 0.0, N, 6, 0.0,

0.0, 1.0, 0.0, 1.0, 0.0, 1.0,

0.0 0.0 0.0 0.0 1.0 1.0


2273

NAFEMS Input Listings N, 7, 1.0, 0.0, 1.0 N, 8, 1.0, 1.0, 1.0 E,1,3,4,2,5,7,8,6 MP,EX,1,250.0E3, MP,NUXY,1,0.25, TB,BISO,1,1, , , TBMODIF,2,1,5 TBMODIF,3,1,0 TB,HILL,1 TBDATA,1,1.0,1.0,1.0,1.0,1.0,1.0 NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Y,1.0 D,ALL,UY NSEL,S,LOC,Z D,ALL,UZ NSEL,S,LOC,Z,1.0 D,ALL,UZ FINISH /SOLU NLGEOM,ON NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5

2274


VM-R049-PL3A 185 Input Listing SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,STEP /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /XRANGE,0,13 /YRANGE,-10,30 /OUT, ESOL,2,1,8,S,X, ESOL,3,1,8,S,Y, ESOL,4,1,8,S,Z, ESOL,5,1,8,S,EQV, PRVAR,2,3,4,5 PLVAR,2,3,4,5 *DIM,V,ARRAY,24 *DIM,VALUEX,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V(JJ),VARI,2,RTIME,JJ *ENDDO *VFILL,VALUEX,DATA,V(1),V(4),V(7),V(10),V(13) R1=VALUEX(1)/7.499 R2=VALUEX(2)/16.365 R3=VALUEX(3)/17.595 R4=VALUEX(4)/8.710 R5=VALUEX(5)/2.747 *DIM,V2,ARRAY,24 *DIM,VALUEY,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V2(JJ),VARI,3,RTIME,JJ *ENDDO *VFILL,VALUEY,DATA,V2(1),V2(4),V2(7),V2(10),V2(13) R6=VALUEY(1)/2.500 R7=VALUEY(2)/19.692 R8=VALUEY(3)/21.766 R9=VALUEY(4)/5.277 R10=VALUEY(5)/0.262


2275

NAFEMS Input Listings *DIM,V3,ARRAY,24 *DIM,VALUEZ,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V3(JJ),VARI,4,RTIME,JJ *ENDDO *VFILL,VALUEZ,DATA,V3(1),V3(4),V3(7),V3(10),V3(13) R11=VALUEZ(1)/2.500 R12=VALUEZ(2)/13.942 R13=VALUEZ(3)/23.138 R14=VALUEZ(4)/11.013 R15=VALUEZ(5)/(-3.009) *DIM,V4,ARRAY,24 *DIM,VALUEEF,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V4(JJ),VARI,5,RTIME,JJ *ENDDO *VFILL,VALUEEF,DATA,V4(1),V4(4),V4(7),V4(10),V4(13) R16=VALUEEF(1)/5.000 R17=VALUEEF(2)/5.000 R18=VALUEEF(3)/5.000 R19=VALUEEF(4)/5.000 R20=VALUEEF(5)/5.000 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETZ,CHAR,10 *DIM,TARGETEF,CHAR,10 *DIM,RATIOX,,5,1 *DIM,RATIOY,,5,1 *DIM,RATIOZ,,5,1 *DIM,RATIOEF,,5,1 STEP(1)='1.0','4.0','7.0','10.0','13.0' TARGETX(1)='7.500','16.365','17.595','8.710','2.747' TARGETY(1)='2.500','19.692','21.766','5.277','0.262' TARGETZ(1)='2.500','13.942','23.138','11.013','-3.009' TARGETEF(1)='5.000','5.000','5.000','5.000','5.000' *VFILL,RATIOX,DATA,R1,R2,R3,R4,R5 *VFILL,RATIOY,DATA,R6,R7,R8,R9,R10 *VFILL,RATIOZ,DATA,R11,R12,R13,R14,R15 *VFILL,RATIOEF,DATA,R16,R17,R18,R19,R20 /COM, /COM, ----------- vmr049-pl3a-185 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl3a-185.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 55, FIGURE 2.17(A). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl3a-185 STRESS RESULTS IN X DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl3a-185 STRESS RESULTS IN Y DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl3a-185 STRESS RESULTS IN Z DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETZ(1),VALUEZ(1,1),RATIOZ(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM,

2276


VM-R049-PL3A 186 Input Listing /COM, /COM, ------ vmr049-pl3a-185 EFFECTIVE STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETEF(1),VALUEEF(1,1),RATIOEF(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH *DIM,LABEL1,CHAR,4 *DIM,VALUE1,,4,3 LABEL1(1) = ' SX ',' SY ',' SZ ',' SEFF ' *VFILL,VALUE1(1,1),DATA,VALUEX(5),VALUEY(5),VALUEZ(5),VALUEEF(5) *VFILL,VALUE1(1,2),DATA,R5,R10,R15,R20 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl3a-185' /OUT,vmr049-pl3a-185,vrt /COM /COM,------------------- vmr049-pl3a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SOLID185 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(4),VALUE1(4,1),VALUE1(4,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl3a-185,vrt

VM-R049-PL3A 186 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl3a-186 /TITLE, vmr049-pl3a-186, 3D PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT: R0049, PL-3 /PREP7 R = 2.5E-5 ET,1,186 N, 1, 0.0, N, 2, 0.0, N, 3, 0.0, N, 4, 0.5, N, 5, 0.5, N, 6, 1.0, N, 7, 1.0, N, 8, 1.0, N, 9, 0.0, N,10, 0.0, N,11, 0.0, N,12, 0.5, N,13, 0.5, N,14, 1.0, N,15, 1.0, N,16, 1.0, N,17, 0.0,

0.0, 0.5, 1.0, 0.0, 1.0, 0.0, 0.5, 1.0, 0.0, 0.5, 1.0, 0.0, 1.0, 0.0, 0.5, 1.0, 0.0,

0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 0.5


2277

NAFEMS Input Listings N,18, 1.0, 0.0, 0.5 N,19, 1.0, 1.0, 0.5 N,20, 0.0, 1.0, 0.5 E,1,6,8,3,9,14,16,11 EMORE,4,7,5,2,12,15,13,10 EMORE,17,18,19,20 MP,EX,1,250.0E3 MP,NUXY,1,0.25 TB,BISO,1,1 TBMODIF,2,1,5 TBMODIF,3,1,0 TB,HILL,1 TBDATA,1,1.0,1.0,1.0,1.0,1.0,1.0 NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Y,1.0 D,ALL,UY NSEL,S,LOC,Z D,ALL,UZ NSEL,S,LOC,Z,1.0 D,ALL,UZ FINISH /SOLU NLGEOM,ON NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,0.0

2278


VM-R049-PL3A 186 Input Listing NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,STEP /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /XRANGE,0,13 /YRANGE,-10,30 /OUT, ESOL,2,1,16,S,X, ESOL,3,1,16,S,Y, ESOL,4,1,16,S,Z, ESOL,5,1,16,S,EQV, PRVAR,2,3,4,5 PLVAR,2,3,4,5 *DIM,V,ARRAY,24 *DIM,VALUEX,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V(JJ),VARI,2,RTIME,JJ *ENDDO *VFILL,VALUEX,DATA,V(1),V(4),V(7),V(10),V(13) R1=VALUEX(1)/7.499 R2=VALUEX(2)/16.365 R3=VALUEX(3)/17.595 R4=VALUEX(4)/8.710 R5=VALUEX(5)/2.747 *DIM,V2,ARRAY,24 *DIM,VALUEY,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V2(JJ),VARI,3,RTIME,JJ *ENDDO *VFILL,VALUEY,DATA,V2(1),V2(4),V2(7),V2(10),V2(13) R6=VALUEY(1)/2.500 R7=VALUEY(2)/19.692 R8=VALUEY(3)/21.766


2279

NAFEMS Input Listings R9=VALUEY(4)/5.277 R10=VALUEY(5)/0.262 *DIM,V3,ARRAY,24 *DIM,VALUEZ,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V3(JJ),VARI,4,RTIME,JJ *ENDDO *VFILL,VALUEZ,DATA,V3(1),V3(4),V3(7),V3(10),V3(13) R11=VALUEZ(1)/2.500 R12=VALUEZ(2)/13.942 R13=VALUEZ(3)/23.138 R14=VALUEZ(4)/11.013 R15=VALUEZ(5)/(-3.009) *DIM,V4,ARRAY,24 *DIM,VALUEEF,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V4(JJ),VARI,5,RTIME,JJ *ENDDO *VFILL,VALUEEF,DATA,V4(1),V4(4),V4(7),V4(10),V4(13) R16=VALUEEF(1)/5.000 R17=VALUEEF(2)/5.000 R18=VALUEEF(3)/5.000 R19=VALUEEF(4)/5.000 R20=VALUEEF(5)/5.000 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETZ,CHAR,10 *DIM,TARGETEF,CHAR,10 *DIM,RATIOX,,5,1 *DIM,RATIOY,,5,1 *DIM,RATIOZ,,5,1 *DIM,RATIOEF,,5,1 STEP(1)='1.0','4.0','7.0','10.0','13.0' TARGETX(1)='7.500','16.365','17.595','8.710','2.747' TARGETY(1)='2.500','19.692','21.766','5.277','0.262' TARGETZ(1)='2.500','13.942','23.138','11.013','-3.009' TARGETEF(1)='5.000','5.000','5.000','5.000','5.000' *VFILL,RATIOX,DATA,R1,R2,R3,R4,R5 *VFILL,RATIOY,DATA,R6,R7,R8,R9,R10 *VFILL,RATIOZ,DATA,R11,R12,R13,R14,R15 *VFILL,RATIOEF,DATA,R16,R17,R18,R19,R20 /COM, /COM, ----------- vmr049-pl3a-186 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl3a-186.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 55, FIGURE 2.17(A). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl3a-186 STRESS RESULTS IN X DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl3a-186 STRESS RESULTS IN Y DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl3a-186 STRESS RESULTS IN Z DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM,

2280


VM-R049-PL3A 187 Input Listing *VWRITE,STEP(1),TARGETZ(1),VALUEZ(1,1),RATIOZ(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl3a-186 EFFECTIVE STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETEF(1),VALUEEF(1,1),RATIOEF(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH *DIM,LABEL1,CHAR,4 *DIM,VALUE1,,4,3 LABEL1(1) = ' SX ',' SY ',' SZ ',' SEFF ' *VFILL,VALUE1(1,1),DATA,VALUEX(5),VALUEY(5),VALUEZ(5),VALUEEF(5) *VFILL,VALUE1(1,2),DATA,R5,R10,R15,R20 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl3a-186' /OUT,vmr049-pl3a-186,vrt /COM /COM,------------------- vmr049-pl3a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SOLID186 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(4),VALUE1(4,1),VALUE1(4,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl3a-186,vrt

VM-R049-PL3A 187 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl3a-187 /TITLE, vmr049-pl3a-187, 3D PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT: R0049, PL-3 /PREP7 R = 2.5E-5 ET,1,187 BLOCK,0,1,0,1,0,1 ESIZE,1 VMESH,ALL, MP,EX,1,250.0E3 MP,NUXY,1,0.25 TB,BISO,1,1 TBMODIF,2,1,5 TBMODIF,3,1,0 TB,HILL,1 TBDATA,1,1.0,1.0,1.0,1.0,1.0,1.0 NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY


2281

NAFEMS Input Listings NSEL,S,LOC,Y,1.0 D,ALL,UY NSEL,S,LOC,Z D,ALL,UZ NSEL,S,LOC,Z,1.0 D,ALL,UZ FINISH /SOLU NLGEOM,ON NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0

2282


VM-R049-PL3A 187 Input Listing D,ALL,UZ,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,STEP /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /XRANGE,0,13 /YRANGE,-10,30 /OUT, NSEL,S,LOC,X,1 NSEL,R,LOC,Y,1 NSEL,R,LOC,Z,1 *GET,N1,NODE,,NUM,MAX ESLN,S *GET,E1,ELEM,,NUM,MIN ESOL,2,E1,N1,S,X, ESOL,3,E1,N1,S,Y, ESOL,4,E1,N1,S,Z, ESOL,5,E1,N1,S,EQV, PRVAR,2,3,4,5 PLVAR,2,3,4,5 *DIM,V,ARRAY,24 *DIM,VALUEX,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V(JJ),VARI,2,RTIME,JJ *ENDDO *VFILL,VALUEX,DATA,V(1),V(4),V(7),V(10),V(13) R1=VALUEX(1)/7.499 R2=VALUEX(2)/16.365 R3=VALUEX(3)/17.595 R4=VALUEX(4)/8.710 R5=VALUEX(5)/2.747 *DIM,V2,ARRAY,24 *DIM,VALUEY,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V2(JJ),VARI,3,RTIME,JJ *ENDDO *VFILL,VALUEY,DATA,V2(1),V2(4),V2(7),V2(10),V2(13) R6=VALUEY(1)/2.500 R7=VALUEY(2)/19.692 R8=VALUEY(3)/21.766 R9=VALUEY(4)/5.277 R10=VALUEY(5)/0.262 *DIM,V3,ARRAY,24 *DIM,VALUEZ,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V3(JJ),VARI,4,RTIME,JJ *ENDDO *VFILL,VALUEZ,DATA,V3(1),V3(4),V3(7),V3(10),V3(13) R11=VALUEZ(1)/2.500 R12=VALUEZ(2)/13.942


2283

NAFEMS Input Listings R13=VALUEZ(3)/23.138 R14=VALUEZ(4)/11.013 R15=VALUEZ(5)/(-3.009) *DIM,V4,ARRAY,24 *DIM,VALUEEF,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V4(JJ),VARI,5,RTIME,JJ *ENDDO *VFILL,VALUEEF,DATA,V4(1),V4(4),V4(7),V4(10),V4(13) R16=VALUEEF(1)/5.000 R17=VALUEEF(2)/5.000 R18=VALUEEF(3)/5.000 R19=VALUEEF(4)/5.000 R20=VALUEEF(5)/5.000 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETZ,CHAR,10 *DIM,TARGETEF,CHAR,10 *DIM,RATIOX,,5,1 *DIM,RATIOY,,5,1 *DIM,RATIOZ,,5,1 *DIM,RATIOEF,,5,1 STEP(1)='1.0','4.0','7.0','10.0','13.0' TARGETX(1)='7.500','16.365','17.595','8.710','2.747' TARGETY(1)='2.500','19.692','21.766','5.277','0.262' TARGETZ(1)='2.500','13.942','23.138','11.013','-3.009' TARGETEF(1)='5.000','5.000','5.000','5.000','5.000' *VFILL,RATIOX,DATA,R1,R2,R3,R4,R5 *VFILL,RATIOY,DATA,R6,R7,R8,R9,R10 *VFILL,RATIOZ,DATA,R11,R12,R13,R14,R15 *VFILL,RATIOEF,DATA,R16,R17,R18,R19,R20 /COM, /COM, ----------- vmr049-pl3a-187 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl3a-187.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 55, FIGURE 2.17(A). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl3a-187 STRESS RESULTS IN X DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl3a-187 STRESS RESULTS IN Y DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl3a-187 STRESS RESULTS IN Z DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETZ(1),VALUEZ(1,1),RATIOZ(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl3a-187 EFFECTIVE STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETEF(1),VALUEEF(1,1),RATIOEF(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM,

2284


VM-R049-PL3B 185 Input Listing /COM, FINISH *DIM,LABEL1,CHAR,4 *DIM,VALUE1,,4,3 LABEL1(1) = ' SX ',' SY ',' SZ ',' SEFF ' *VFILL,VALUE1(1,1),DATA,VALUEX(5),VALUEY(5),VALUEZ(5),VALUEEF(5) *VFILL,VALUE1(1,2),DATA,R5,R10,R15,R20 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl3a-187' /OUT,vmr049-pl3a-187,vrt /COM /COM,------------------- vmr049-pl3a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SOLID187 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(4),VALUE1(4,1),VALUE1(4,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl3a-187,vrt

VM-R049-PL3B 185 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl3b-185 /TITLE, vmr049-pl3b-185, 3D PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT: R0049, PL-3 /PREP7 R = 2.5E-5 ET,1,185 N, 1, 0.0, 0.0, 0.0 N, 2, 0.0, 1.0, 0.0 N, 3, 1.0, 0.0, 0.0 N, 4, 1.0, 1.0, 0.0 N, 5, 0.0, 0.0, 1.0 N, 6, 0.0, 1.0, 1.0 N, 7, 1.0, 0.0, 1.0 N, 8, 1.0, 1.0, 1.0 E,1,3,4,2,5,7,8,6 MP,EX,1,250.0E3 MP,NUXY,1,0.25 TB,BISO,1,1, , , TBMODIF,2,1,5 TBMODIF,3,1,50000 TB,HILL,1 TBDATA,1,1.0,1.0,1.0,1.0,1.0,1.0 NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Y,1.0 D,ALL,UY NSEL,S,LOC,Z D,ALL,UZ NSEL,S,LOC,Z,1.0


2285

NAFEMS Input Listings D,ALL,UZ FINISH /SOLU NLGEOM,ON NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0

2286


VM-R049-PL3B 185 Input Listing D,ALL,UZ,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,STEP /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /XRANGE,0,13 /YRANGE,-10,35 ESOL,2,1,8,S,X, ESOL,3,1,8,S,Y, ESOL,4,1,8,S,Z, ESOL,5,1,8,S,EQV, PLVAR,2,3,4,5 PRVAR,2,3,4,5 *DIM,V,ARRAY,24 *DIM,VALUEX,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V(JJ),VARI,2,RTIME,JJ *ENDDO *VFILL,VALUEX,DATA,V(1),V(4),V(7),V(10),V(13) R1=VALUEX(1)/7.499 R2=VALUEX(2)/16.894 R3=VALUEX(3)/16.291 R4=VALUEX(4)/6.934 R5=VALUEX(5)/1.934 *DIM,V2,ARRAY,24 *DIM,VALUEY,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V2(JJ),VARI,3,RTIME,JJ *ENDDO *VFILL,VALUEY,DATA,V2(1),V2(4),V2(7),V2(10),V2(13) R6=VALUEY(1)/2.500 R7=VALUEY(2)/20.218 R8=VALUEY(3)/22.236 R9=VALUEY(4)/4.459 R10=VALUEY(5)/(-0.541) *DIM,V3,ARRAY,24 *DIM,VALUEZ,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V3(JJ),VARI,4,RTIME,JJ *ENDDO *VFILL,VALUEZ,DATA,V3(1),V3(4),V3(7),V3(10),V3(13) R11=VALUEZ(1)/2.500 R12=VALUEZ(2)/12.886 R13=VALUEZ(3)/23.972 R14=VALUEZ(4)/13.606 R15=VALUEZ(5)/(-1.393) *DIM,V4,ARRAY,24 *DIM,VALUEEF,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V4(JJ),VARI,5,RTIME,JJ *ENDDO *VFILL,VALUEEF,DATA,V4(1),V4(4),V4(7),V4(10),V4(13) R16=VALUEEF(1)/5.000 R17=VALUEEF(2)/6.359 R18=VALUEEF(3)/6.976


2287

NAFEMS Input Listings R19=VALUEEF(4)/8.195 R20=VALUEEF(5)/2.994 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETZ,CHAR,10 *DIM,TARGETEF,CHAR,10 *DIM,RATIOX,,5,1 *DIM,RATIOY,,5,1 *DIM,RATIOZ,,5,1 *DIM,RATIOEF,,5,1 STEP(1)='1.0','4.0','7.0','10.0','13.0' TARGETX(1)='7.500','16.894','16.291','6.934','1.934' TARGETY(1)='2.500','20.218','22.236','4.459','-0.541' TARGETZ(1)='2.500','12.886','23.972','13.606','-1.393' TARGETEF(1)='5.000','6.359','6.976','8.195','2.994' *VFILL,RATIOX,DATA,R1,R2,R3,R4,R5 *VFILL,RATIOY,DATA,R6,R7,R8,R9,R10 *VFILL,RATIOZ,DATA,R11,R12,R13,R14,R15 *VFILL,RATIOEF,DATA,R16,R17,R18,R19,R20 /COM, /COM, ----------- vmr049-pl3b-185 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl3b-185.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 55, FIGURE 2.17(B). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl3b-185 STRESS RESULTS IN X DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl3b-185 STRESS RESULTS IN Y DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl3b-185 STRESS RESULTS IN Z DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETZ(1),VALUEZ(1,1),RATIOZ(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl3b-185 EFFECTIVE STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETEF(1),VALUEEF(1,1),RATIOEF(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH /POST26 *DIM,LABEL1,CHAR,4 *DIM,VALUE1,,4,3 LABEL1(1) = ' SX ',' SY ',' SZ ',' SEFF ' *VFILL,VALUE1(1,1),DATA,VALUEX(5),VALUEY(5),VALUEZ(5),VALUEEF(5) *VFILL,VALUE1(1,2),DATA,R5,R10,R15,R20 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl3b-185' /OUT,vmr049-pl3b-185,vrt

2288


VM-R049-PL3B 186 Input Listing /COM /COM,------------------- vmr049-pl3b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SOLID185 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(4),VALUE1(4,1),VALUE1(4,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl3b-185,vrt

VM-R049-PL3B 186 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl3b-186 /TITLE, vmr049-pl3b-186, 3D PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT: R0049, PL-3 /PREP7 R = 2.5E-5 ET,1,186 N, 1, 0.0, 0.0, 0.0 N, 2, 0.0, 0.5, 0.0 N, 3, 0.0, 1.0, 0.0 N, 4, 0.5, 0.0, 0.0 N, 5, 0.5, 1.0, 0.0 N, 6, 1.0, 0.0, 0.0 N, 7, 1.0, 0.5, 0.0 N, 8, 1.0, 1.0, 0.0 N, 9, 0.0, 0.0, 1.0 N,10, 0.0, 0.5, 1.0 N,11, 0.0, 1.0, 1.0 N,12, 0.5, 0.0, 1.0 N,13, 0.5, 1.0, 1.0 N,14, 1.0, 0.0, 1.0 N,15, 1.0, 0.5, 1.0 N,16, 1.0, 1.0, 1.0 N,17, 0.0, 0.0, 0.5 N,18, 1.0, 0.0, 0.5 N,19, 1.0, 1.0, 0.5 N,20, 0.0, 1.0, 0.5 E,1,6,8,3,9,14,16,11 EMORE,4,7,5,2,12,15,13,10 EMORE,17,18,19,20 MP,EX,1,250.0E3 MP,NUXY,1,0.25 TB,BISO,1,1, , , TBMODIF,2,1,5 TBMODIF,3,1,50000 TB,HILL,1 TBDATA,1,1.0,1.0,1.0,1.0,1.0,1.0 NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Y,1.0 D,ALL,UY NSEL,S,LOC,Z


2289

NAFEMS Input Listings D,ALL,UZ NSEL,S,LOC,Z,1.0 D,ALL,UZ FINISH /SOLU NLGEOM,ON NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,R NSEL,ALL NSUBST,10,10,10,

2290


VM-R049-PL3B 186 Input Listing OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,STEP /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /XRANGE,0,13 /YRANGE,-10,35 /OUT, ESOL,2,1,16,S,X, ESOL,3,1,16,S,Y, ESOL,4,1,16,S,Z, ESOL,5,1,16,S,EQV, PRVAR,2,3,4,5 PLVAR,2,3,4,5 *DIM,V,ARRAY,24 *DIM,VALUEX,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V(JJ),VARI,2,RTIME,JJ *ENDDO *VFILL,VALUEX,DATA,V(1),V(4),V(7),V(10),V(13) R1=VALUEX(1)/7.499 R2=VALUEX(2)/16.894 R3=VALUEX(3)/16.291 R4=VALUEX(4)/6.934 R5=VALUEX(5)/1.934 *DIM,V2,ARRAY,24 *DIM,VALUEY,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V2(JJ),VARI,3,RTIME,JJ *ENDDO *VFILL,VALUEY,DATA,V2(1),V2(4),V2(7),V2(10),V2(13) R6=VALUEY(1)/2.500 R7=VALUEY(2)/20.218 R8=VALUEY(3)/22.236 R9=VALUEY(4)/4.459 R10=VALUEY(5)/(-0.541) *DIM,V3,ARRAY,24 *DIM,VALUEZ,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V3(JJ),VARI,4,RTIME,JJ *ENDDO *VFILL,VALUEZ,DATA,V3(1),V3(4),V3(7),V3(10),V3(13) R11=VALUEZ(1)/2.500 R12=VALUEZ(2)/12.886 R13=VALUEZ(3)/23.972 R14=VALUEZ(4)/13.606 R15=VALUEZ(5)/(-1.393) *DIM,V4,ARRAY,24 *DIM,VALUEEF,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V4(JJ),VARI,5,RTIME,JJ *ENDDO


2291

NAFEMS Input Listings *VFILL,VALUEEF,DATA,V4(1),V4(4),V4(7),V4(10),V4(13) R16=VALUEEF(1)/5.000 R17=VALUEEF(2)/6.359 R18=VALUEEF(3)/6.976 R19=VALUEEF(4)/8.195 R20=VALUEEF(5)/2.994 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETZ,CHAR,10 *DIM,TARGETEF,CHAR,10 *DIM,RATIOX,,5,1 *DIM,RATIOY,,5,1 *DIM,RATIOZ,,5,1 *DIM,RATIOEF,,5,1 STEP(1)='1.0','4.0','7.0','10.0','13.0' TARGETX(1)='7.500','16.894','16.291','6.934','1.934' TARGETY(1)='2.500','20.218','22.236','4.459','-0.541' TARGETZ(1)='2.500','12.886','23.972','13.606','-1.393' TARGETEF(1)='5.000','6.359','6.976','8.195','2.994' *VFILL,RATIOX,DATA,R1,R2,R3,R4,R5 *VFILL,RATIOY,DATA,R6,R7,R8,R9,R10 *VFILL,RATIOZ,DATA,R11,R12,R13,R14,R15 *VFILL,RATIOEF,DATA,R16,R17,R18,R19,R20 /COM, /COM, ----------- vmr049-pl3b-186 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl3b-186.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 55, FIGURE 2.17(B). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl3b-186 STRESS RESULTS IN X DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl3b-186 STRESS RESULTS IN Y DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl3b-186 STRESS RESULTS IN Z DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETZ(1),VALUEZ(1,1),RATIOZ(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl3b-186 EFFECTIVE STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETEF(1),VALUEEF(1,1),RATIOEF(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH

/POST26 *DIM,LABEL1,CHAR,4 *DIM,VALUE1,,4,3 LABEL1(1) = ' SX ',' SY ',' SZ ',' SEFF ' *VFILL,VALUE1(1,1),DATA,VALUEX(5),VALUEY(5),VALUEZ(5),VALUEEF(5)

2292


VM-R049-PL3B 187 Input Listing *VFILL,VALUE1(1,2),DATA,R5,R10,R15,R20 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl3b-186' /OUT,vmr049-pl3b-186,vrt /COM /COM,------------------- vmr049-pl3b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SOLID186 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(4),VALUE1(4,1),VALUE1(4,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl3b-186,vrt

VM-R049-PL3B 187 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl3b-187 /TITLE, vmr049-pl3b-187, 3D PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT: R0049, PL-3 /PREP7 R = 2.5E-5 ET,1,187 BLOCK,0,1,0,1,0,1 ESIZE,1 VMESH,ALL MP,EX,1,250.0E3 MP,NUXY,1,0.25 TB,BISO,1,1, , , TBMODIF,2,1,5 TBMODIF,3,1,50000 TB,HILL,1 TBDATA,1,1.0,1.0,1.0,1.0,1.0,1.0 NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Y,1.0 D,ALL,UY NSEL,S,LOC,Z D,ALL,UZ NSEL,S,LOC,Z,1.0 D,ALL,UZ FINISH /SOLU NLGEOM,ON NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE NSEL,S,LOC,X,1.0


2293

NAFEMS Input Listings D,ALL,UX,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1

2294


VM-R049-PL3B 187 Input Listing /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,STEP /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /XRANGE,0,13 /YRANGE,-10,35 /OUT, NSEL,S,LOC,X,1 NSEL,R,LOC,Y,1 NSEL,R,LOC,Z,1 *GET,N1,NODE,,NUM,MAX ESLN,S *GET,E1,ELEM,,NUM,MIN ESOL,2,E1,N1,S,X, ESOL,3,E1,N1,S,Y, ESOL,4,E1,N1,S,Z, ESOL,5,E1,N1,S,EQV, PLVAR,2,3,4,5 PRVAR,2,3,4,5 *DIM,V,ARRAY,24 *DIM,VALUEX,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V(JJ),VARI,2,RTIME,JJ *ENDDO *VFILL,VALUEX,DATA,V(1),V(4),V(7),V(10),V(13) R1=VALUEX(1)/7.499 R2=VALUEX(2)/16.894 R3=VALUEX(3)/16.291 R4=VALUEX(4)/6.934 R5=VALUEX(5)/1.934 *DIM,V2,ARRAY,24 *DIM,VALUEY,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V2(JJ),VARI,3,RTIME,JJ *ENDDO *VFILL,VALUEY,DATA,V2(1),V2(4),V2(7),V2(10),V2(13) R6=VALUEY(1)/2.500 R7=VALUEY(2)/20.218 R8=VALUEY(3)/22.236 R9=VALUEY(4)/4.459 R10=VALUEY(5)/(-0.541) *DIM,V3,ARRAY,24 *DIM,VALUEZ,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V3(JJ),VARI,4,RTIME,JJ *ENDDO *VFILL,VALUEZ,DATA,V3(1),V3(4),V3(7),V3(10),V3(13) R11=VALUEZ(1)/2.500 R12=VALUEZ(2)/12.886 R13=VALUEZ(3)/23.972 R14=VALUEZ(4)/13.606 R15=VALUEZ(5)/(-1.393) *DIM,V4,ARRAY,24 *DIM,VALUEEF,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V4(JJ),VARI,5,RTIME,JJ *ENDDO *VFILL,VALUEEF,DATA,V4(1),V4(4),V4(7),V4(10),V4(13) R16=VALUEEF(1)/5.000 R17=VALUEEF(2)/6.359 R18=VALUEEF(3)/6.976 R19=VALUEEF(4)/8.195 R20=VALUEEF(5)/2.994 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10


2295

NAFEMS Input Listings *DIM,TARGETY,CHAR,10 *DIM,TARGETZ,CHAR,10 *DIM,TARGETEF,CHAR,10 *DIM,RATIOX,,5,1 *DIM,RATIOY,,5,1 *DIM,RATIOZ,,5,1 *DIM,RATIOEF,,5,1 STEP(1)='1.0','4.0','7.0','10.0','13.0' TARGETX(1)='7.500','16.894','16.291','6.934','1.934' TARGETY(1)='2.500','20.218','22.236','4.459','-0.541' TARGETZ(1)='2.500','12.886','23.972','13.606','-1.393' TARGETEF(1)='5.000','6.359','6.976','8.195','2.994' *VFILL,RATIOX,DATA,R1,R2,R3,R4,R5 *VFILL,RATIOY,DATA,R6,R7,R8,R9,R10 *VFILL,RATIOZ,DATA,R11,R12,R13,R14,R15 *VFILL,RATIOEF,DATA,R16,R17,R18,R19,R20 /COM, /COM, ----------- vmr049-pl3b-187 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl3b-187.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 55, FIGURE 2.17(B). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl3b-187 STRESS RESULTS IN X DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl3b-187 STRESS RESULTS IN Y DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl3b-187 STRESS RESULTS IN Z DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETZ(1),VALUEZ(1,1),RATIOZ(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl3b-187 EFFECTIVE STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETEF(1),VALUEEF(1,1),RATIOEF(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH /POST26 *DIM,LABEL1,CHAR,4 *DIM,VALUE1,,4,3 LABEL1(1) = ' SX ',' SY ',' SZ ',' SEFF ' *VFILL,VALUE1(1,1),DATA,VALUEX(5),VALUEY(5),VALUEZ(5),VALUEEF(5) *VFILL,VALUE1(1,2),DATA,R5,R10,R15,R20 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl3b-187' /OUT,vmr049-pl3b-187,vrt /COM /COM,------------------- vmr049-pl3b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM,

2296


VM-R049-PL3B 190 Input Listing /COM, SOLID187 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(4),VALUE1(4,1),VALUE1(4,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl3b-187,vrt

VM-R049-PL3B 190 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl3b-190 /TITLE, vmr049-pl3b-190, 3D PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT: R0049, PL-3 /PREP7 R = 2.5E-5 ET,1,190 N, 1, 0.0, 0.0, 0.0 N, 2, 0.0, 1.0, 0.0 N, 3, 1.0, 0.0, 0.0 N, 4, 1.0, 1.0, 0.0 N, 5, 0.0, 0.0, 1.0 N, 6, 0.0, 1.0, 1.0 N, 7, 1.0, 0.0, 1.0 N, 8, 1.0, 1.0, 1.0 E,1,3,4,2,5,7,8,6 MP,EX,1,250.0E3 MP,NUXY,1,0.25 TB,BISO,1,1, , , TBMODIF,2,1,5 TBMODIF,3,1,50000 TB,HILL,1 TBDATA,1,1.0,1.0,1.0,1.0,1.0,1.0 NSEL,S,LOC,X D,ALL,UX NSEL,S,LOC,Y D,ALL,UY NSEL,S,LOC,Y,1.0 D,ALL,UY NSEL,S,LOC,Z D,ALL,UZ NSEL,S,LOC,Z,1.0 D,ALL,UZ FINISH /SOLU NLGEOM,ON NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 /OUT,SCRATCH SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5


2297

NAFEMS Input Listings SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,2*R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,X,1.0 D,ALL,UX,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Y,1.0 D,ALL,UY,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,R NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE NSEL,S,LOC,Z,1.0 D,ALL,UZ,0.0 NSEL,ALL NSUBST,10,10,10, OUTRES,ALL,5 SOLVE FINISH /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,STEP /AXLAB,Y,STRESS

2298


VM-R049-PL3B 190 Input Listing /GTHK,AXIS,1 /GRTYP,0 /XRANGE,0,13 /YRANGE,-5,30 /OUT, ESOL,2,1,8,S,X, ESOL,3,1,8,S,Y, ESOL,4,1,8,S,Z, ESOL,5,1,8,S,EQV, PLVAR,2,3,4,5 PRVAR,2,3,4,5 *DIM,V,ARRAY,24 *DIM,VALUEX,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V(JJ),VARI,2,RTIME,JJ *ENDDO *VFILL,VALUEX,DATA,V(1),V(4),V(7),V(10),V(13) R1=VALUEX(1)/7.499 R2=VALUEX(2)/16.894 R3=VALUEX(3)/16.291 R4=VALUEX(4)/6.934 R5=VALUEX(5)/1.934 *DIM,V2,ARRAY,24 *DIM,VALUEY,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V2(JJ),VARI,3,RTIME,JJ *ENDDO *VFILL,VALUEY,DATA,V2(1),V2(4),V2(7),V2(10),V2(13) R6=VALUEY(1)/2.500 R7=VALUEY(2)/20.218 R8=VALUEY(3)/22.236 R9=VALUEY(4)/4.459 R10=VALUEY(5)/(-0.541) *DIM,V3,ARRAY,24 *DIM,VALUEZ,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V3(JJ),VARI,4,RTIME,JJ *ENDDO *VFILL,VALUEZ,DATA,V3(1),V3(4),V3(7),V3(10),V3(13) R11=VALUEZ(1)/2.500 R12=VALUEZ(2)/12.886 R13=VALUEZ(3)/23.972 R14=VALUEZ(4)/13.606 R15=VALUEZ(5)/(-1.393) *DIM,V4,ARRAY,24 *DIM,VALUEEF,ARRAY,5 *DO,JJ,1.0,24,3 *GET,V4(JJ),VARI,5,RTIME,JJ *ENDDO *VFILL,VALUEEF,DATA,V4(1),V4(4),V4(7),V4(10),V4(13) R16=VALUEEF(1)/5.000 R17=VALUEEF(2)/6.359 R18=VALUEEF(3)/6.976 R19=VALUEEF(4)/8.195 R20=VALUEEF(5)/2.994 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETZ,CHAR,10 *DIM,TARGETEF,CHAR,10 *DIM,RATIOX,,5,1 *DIM,RATIOY,,5,1 *DIM,RATIOZ,,5,1 *DIM,RATIOEF,,5,1 STEP(1)='1.0','4.0','7.0','10.0','13.0' TARGETX(1)='7.500','16.894','16.291','6.934','1.934' TARGETY(1)='2.500','20.218','22.236','4.459','-0.541'


2299

NAFEMS Input Listings TARGETZ(1)='2.500','12.886','23.972','13.606','-1.393' TARGETEF(1)='5.000','6.359','6.976','8.195','2.994' *VFILL,RATIOX,DATA,R1,R2,R3,R4,R5 *VFILL,RATIOY,DATA,R6,R7,R8,R9,R10 *VFILL,RATIOZ,DATA,R11,R12,R13,R14,R15 *VFILL,RATIOEF,DATA,R16,R17,R18,R19,R20 /COM, /COM, ----------- vmr049-pl3b-190 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl3b-190.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 55, FIGURE 2.17(B). THE RESULTS /COM, DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl3b-190 STRESS RESULTS IN X DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl3b-190 STRESS RESULTS IN Y DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl3b-190 STRESS RESULTS IN Z DIRECTION ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETZ(1),VALUEZ(1,1),RATIOZ(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl3b-190 EFFECTIVE STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETEF(1),VALUEEF(1,1),RATIOEF(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH /POST26 *DIM,LABEL1,CHAR,4 *DIM,VALUE1,,4,3 LABEL1(1) = ' SX ',' SY ',' SZ ',' SEFF ' *VFILL,VALUE1(1,1),DATA,VALUEX(5),VALUEY(5),VALUEZ(5),VALUEEF(5) *VFILL,VALUE1(1,2),DATA,R5,R10,R15,R20 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl3b-190' /OUT,vmr049-pl3b-190,vrt /COM /COM,------------------- vmr049-pl3b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, SOLSH190 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(4),VALUE1(4,1),VALUE1(4,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM,

2300


VM-R049-PL5A 182 Input Listing /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl3b-190,vrt

VM-R049-PL5A 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl5a-182 /TITLE, vmr049-pl5a-182, PRESSURISED CYLINDER PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT: R0049. TEST PL-5 /PREP7 R = 2.5E-5 ET,1,182,,, KEYOPT,1,3,1 N,1,100,0,, N,2,100,50,, N,3,100,100,, N,4,125,0,, N,5,125,50,, N,6,125,100,, N,7,150,0,, N,8,150,50,, N,9,150,100,,, N,10,175,0,, N,11,175,50,, N,12,175,100,, N,13,200,0,, N,14,200,50,, N,15,200,100,, E, 1,4,5,2 E, 2,5,6,3 E, 4,7,8,5 E, 5,8,9,6 E, 7,10,11,8 E, 8,11,12,9 E, 10,13,14,11 E, 11,14,15,12 MP,EX,1,21E3, MP,NUXY,1,0.3, TB,BISO,1 TBMODIF,2,1,24.0 TBMODIF,3,1,0.0 NSEL,U,LOC,Y,50 D,ALL,UY,0.0 NSEL,ALL, FINISH /SOLU NLGEOM,ON NSEL,S,LOC,X,100 SF,ALL,PRES,10.0 NSEL,ALL, NSUBST,10,,, OUTRES,ALL,ALL /OUT,SCRATCH SOLVE NSEL,S,LOC,X,100 SF,ALL,PRES,14.0 NSEL,ALL, NSUBST,10,,, SOLVE NSEL,S,LOC,X,100 SF,ALL,PRES,16.6 NSEL, ALL, NSUBST,10,,,


2301

NAFEMS Input Listings SOLVE NSEL,S,LOC,X,100 SF,ALL,PRES,19.1 NSEL,ALL, NSUBST,10,,, SOLVE /POST26 /XRANGE,0,4 /YRANGE,-40,60 /AXLAB,X,STEP /AXLAB,Y,STRESS /OUT, ESOL,2,1,1,S,X, ESOL,3,1,1,S,Y, ESOL,4,1,1,S,Z, ESOL,5,1,1,S,EQV, PLVAR,2,3,4,5 PRVAR,2,3,4,5 *DIM,VALUEX,ARRAY,4,1 *DO,JJ,1,4,1 *GET,VALUEX(JJ,1),VARI,2,RTIME,JJ *ENDDO R1=VALUEX(1,1)/(-8.603) R2=VALUEX(2,1)/(-10.642) R3=VALUEX(3,1)/(-13.319) R4=VALUEX(4,1)/(-15.774) *DIM,VALUEY,ARRAY,4,1 *DO,JJ,1,4,1 *GET,VALUEY(JJ,1),VARI,3,RTIME,JJ *ENDDO R5=VALUEY(1,1)/1.599 R6=VALUEY(2,1)/1.810 R7=VALUEY(3,1)/0.303 R8=VALUEY(4,1)/(-1.879) *DIM,VALUEZ,ARRAY,4,1 *DO,JJ,1,4,1 *GET,VALUEZ(JJ,1),VARI,4,RTIME,JJ *ENDDO R9=VALUEZ(1,1)/15.706 R10=VALUEZ(2,1)/17.019 R11=VALUEZ(3,1)/14.386 R12=VALUEZ(4,1)/11.934 *DIM,VALUEEF,ARRAY,4,1 *DO,JJ,1,4,1 *GET,VALUEEF(JJ,1),VARI,5,RTIME,JJ *ENDDO R13=VALUEEF(1,1)/21.153 R14=VALUEEF(2,1)/24.0 R15=VALUEEF(3,1)/24.0 R16=VALUEEF(4,1)/24.0 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETZ,CHAR,10 *DIM,TARGETEF,CHAR,10 *DIM,RATIOX,,4,1 *DIM,RATIOY,,4,1 *DIM,RATIOZ,,4,1 *DIM,RATIOEF,,4,1 STEP(1)='1.0','2.0','3.0','4.0' TARGETX(1)='-8.603','-10.642','-13.319','-15.774' TARGETY(1)='1.599','1.810','0.303','-1.879' TARGETZ(1)='15.706','17.019','14.386','11.934' TARGETEF(1)='21.153','24.000','24.000','24.000' *VFILL,RATIOX,DATA,R1,R2,R3,R4 *VFILL,RATIOY,DATA,R5,R6,R7,R8 *VFILL,RATIOZ,DATA,R9,R10,R11,R12 *VFILL,RATIOEF,DATA,R13,R14,R15,R16 /COM, /COM, ----------- vmr049-pl5a-182 RESULTS COMPARISON --------------

2302


VM-R049-PL5A 182 Input Listing /COM, /COM, vmr049-pl5a-182.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 61 FIGURE 2.23(A). /COM, THE RESULTS DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl5a-182 RADIAL STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl5a-182 AXIAL STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl5a-182 HOOP STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETZ(1),VALUEZ(1,1),RATIOZ(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl5a-182 EFFECTIVE STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETEF(1),VALUEEF(1,1),RATIOEF(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH /POST26 *DIM,LABEL1,CHAR,4 *DIM,VALUE1,,4,3 LABEL1(1) = ' SRAD ',' SAXI ',' SHOOP ',' SEFF ' *VFILL,VALUE1(1,1),DATA,VALUEX(4,1),VALUEY(4,1),VALUEZ(4,1),VALUEEF(4,1) *VFILL,VALUE1(1,2),DATA,R4,R8,R12,R16 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl5a-182' /OUT,vmr049-pl5a-182,vrt /COM /COM,------------------- vmr049-pl5a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(4),VALUE1(4,1),VALUE1(4,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl5a-182,vrt


2303


VM-R049-PL5A 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl5a-183 /TITLE, vmr049-pl5a-183, PRESSURISED CYLINDER PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT:R0049. TEST PL-5 /PREP7 ET,1,183,,, KEYOPT,1,3,1 N,1,100,0,, N,2,100,50,, N,3,100,100,, N,4,125,0,, N,5,125,100,, N,6,150,0,, N,7,150,50,, N,8,150,100,, N,9,175,0,, N,10,175,100,, N,11,200,0,, N,12,200,50,, N,13,200,100,, E, 1,6,8,3,4,7,5,2 E, 6,11,13,8,9,12,10,7 MP,EX,1,21E3, MP,NUXY,1,0.3, TB,BISO,1 TBMODIF,2,1,24.0 TBMODIF,3,1,0.0 D,ALL,UY,0.0 FINISH /SOLU NLGEOM,ON NSEL,S,LOC,X,100 SF,ALL,PRES,10.0 NSEL,ALL, NSUBST,10,,, OUTRES,ALL,ALL /OUT,SCRATCH SOLVE NSEL,S,LOC,X,100 SF,ALL,PRES,14.0 NSEL,ALL, NSUBST,10,,, OUTRES,ALL,ALL SOLVE NSEL,S,LOC,X,100 SF,ALL,PRES,16.6 NSEL, ALL, NSUBST,10,,, SOLVE NSEL,S,LOC,X,100 SF,ALL,PRES,19.0 NSEL,ALL, NSUBST,10,,, SOLVE /POST26 /XRANGE,0,4 /YRANGE,-40,60 /AXLAB,X,STEP /AXLAB,Y,STRESS /OUT, ESOL,2,1,1,S,X, ESOL,3,1,1,S,Y, ESOL,4,1,1,S,Z, ESOL,5,1,1,S,EQV

2304


VM-R049-PL5A 183 Input Listing PLVAR,2,3,4,5 PRVAR,2,3,4,5 *DIM,VALUEX,ARRAY,4,1 *DO,JJ,1,4,1 *GET,VALUEX(JJ,1),VARI,2,RTIME,JJ *ENDDO R1=VALUEX(1,1)/(-8.603) R2=VALUEX(2,1)/(-10.642) R3=VALUEX(3,1)/(-13.319) R4=VALUEX(4,1)/(-15.774) *DIM,VALUEY,ARRAY,4,1 *DO,JJ,1,4,1 *GET,VALUEY(JJ,1),VARI,3,RTIME,JJ *ENDDO R5=VALUEY(1,1)/1.599 R6=VALUEY(2,1)/1.810 R7=VALUEY(3,1)/0.303 R8=VALUEY(4,1)/(-1.879) *DIM,VALUEZ,ARRAY,4,1 *DO,JJ,1,4,1 *GET,VALUEZ(JJ,1),VARI,4,RTIME,JJ *ENDDO R9=VALUEZ(1,1)/15.706 R10=VALUEZ(2,1)/17.019 R11=VALUEZ(3,1)/14.386 R12=VALUEZ(4,1)/11.934 *DIM,VALUEEF,ARRAY,4,1 *DO,JJ,1,4,1 *GET,VALUEEF(JJ,1),VARI,5,RTIME,JJ *ENDDO R13=VALUEEF(1,1)/21.153 R14=VALUEEF(2,1)/24.0 R15=VALUEEF(3,1)/24.0 R16=VALUEEF(4,1)/24.0 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETZ,CHAR,10 *DIM,TARGETEF,CHAR,10 *DIM,RATIOX,,4,1 *DIM,RATIOY,,4,1 *DIM,RATIOZ,,4,1 *DIM,RATIOEF,,4,1 STEP(1)='1.0','2.0','3.0','4.0' TARGETX(1)='-8.603','-10.642','-13.319','-15.774' TARGETY(1)='1.599','1.810','0.303','-1.879' TARGETZ(1)='15.706','17.019','14.386','11.934' TARGETEF(1)='21.153','24.000','24.000','24.000' *VFILL,RATIOX,DATA,R1,R2,R3,R4 *VFILL,RATIOY,DATA,R5,R6,R7,R8 *VFILL,RATIOZ,DATA,R9,R10,R11,R12 *VFILL,RATIOEF,DATA,R13,R14,R15,R16 /COM, /COM, ----------- vmr049-pl5a-183 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl5a-183.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 61 FIGURE 2.23(A). /COM, THE RESULTS DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl5a-183 RADIAL STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl5a-183 AXIAL STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM,


2305

NAFEMS Input Listings *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl5a-183 HOOP STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETZ(1),VALUEZ(1,1),RATIOZ(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl5a-183 EFFECTIVE STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETEF(1),VALUEEF(1,1),RATIOEF(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH /POST26 *DIM,LABEL1,CHAR,4 *DIM,VALUE1,,4,3 LABEL1(1) = ' SRAD ',' SAXI ',' SHOOP ',' SEFF ' *VFILL,VALUE1(1,1),DATA,VALUEX(4,1),VALUEY(4,1),VALUEZ(4,1),VALUEEF(4,1) *VFILL,VALUE1(1,2),DATA,R4,R8,R12,R16 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl5a-183' /OUT,vmr049-pl5a-183,vrt /COM /COM,------------------- vmr049-pl5a RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(4),VALUE1(4,1),VALUE1(4,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl5a-183,vrt

VM-R049-PL5B 182 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl5b-182 /TITLE, vmr049-pl5b-182, PRESSURISED CYLINDER PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT: R0049. TEST PL-5 /PREP7 ET,1,182,,, KEYOPT,1,3,1 N,1,100,0,, N,2,100,50,, N,3,100,100,, N,4,125,0,, N,5,125,50,,

2306


VM-R049-PL5B 182 Input Listing N,6,125,100,, N,7,150,0,, N,8,150,50,, N,9,150,100,, N,10,175,0,, N,11,175,50,, N,12,175,100,, N,13,200,0,, N,14,200,50,, N,15,200,100,, E, 1,4,5,2 E, 2,5,6,3 E, 4,7,8,5 E, 5,8,9,6 E, 7,10,11,8 E, 8,11,12,9 E, 10,13,14,11 E, 11,14,15,12 MP,EX,1,21.0E3, MP,NUXY,1,0.3, TB,BISO,1, , , , TBMODIF,2,1,24.0 TBMODIF,3,1,4200 NSEL,U,LOC,Y,50 D,ALL,UY,0.0 NSEL,ALL, FINISH /SOLU NLGEOM,ON NSEL,S,LOC,X,100 SF,ALL,PRES,10.0 NSEL,ALL, NSUBST,10,,, OUTRES,ALL,ALL /OUT,SCRATCH SOLVE NSEL,S,LOC,X,100 SF,ALL,PRES,14.0 NSEL,ALL, NSUBST,10,,, OUTRES,ALL,ALL SOLVE NSEL,S,LOC,X,100 SF,ALL,PRES,24.0 NSEL, ALL, NSUBST,10,,, SOLVE NSEL,S,LOC,X,100 SF,ALL,PRES,34.0 NSEL,ALL, NSUBST,10,,, SOLVE SAVE /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,STEP /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /XRANGE,0,4 /YRANGE,-40,60 /OUT, ESOL,2,1,1,S,X, ESOL,3,1,1,S,Y, ESOL,4,1,1,S,Z,


2307

NAFEMS Input Listings ESOL,5,1,1,EPEL,X, PLVAR,2,3,4 PRVAR,2,3,4,5 *DIM,VALUEX,ARRAY,4,1 *DO,JJ,1,4,1 *GET,VALUEX(JJ,1),VARI,2,RTIME,JJ *ENDDO R1=VALUEX(1,1)/(-8.603) R2=VALUEX(2,1)/(-10.603) R3=VALUEX(3,1)/(-19.307) R4=VALUEX(4,1)/(-27.025) *DIM,VALUEY,ARRAY,4,1 *DO,JJ,1,4,1 *GET,VALUEY(JJ,1),VARI,3,RTIME,JJ *ENDDO R5=VALUEY(1,1)/1.598 R6=VALUEY(2,1)/2.094 R7=VALUEY(3,1)/0.946 R8=VALUEY(4,1)/3.632 *DIM,VALUEZ,ARRAY,4,1 *DO,JJ,1,4,1 *GET,VALUEZ(JJ,1),VARI,4,RTIME,JJ *ENDDO R9=VALUEZ(1,1)/15.706 R10=VALUEZ(2,1)/18.193 R11=VALUEZ(3,1)/22.820 R12=VALUEZ(4,1)/37.778 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10 *DIM,TARGETY,CHAR,10 *DIM,TARGETZ,CHAR,10 *DIM,RATIOX,,4,1 *DIM,RATIOY,,4,1 *DIM,RATIOZ,,4,1 STEP(1)='1.0','2.0','3.0','4.0' TARGETX(1)='-8.603','-10.603','-19.307','-27.025' TARGETY(1)='1.598','2.094','0.964','3.632' TARGETZ(1)='15.706','18.193','22.820','37.778' *VFILL,RATIOX,DATA,R1,R2,R3,R4 *VFILL,RATIOY,DATA,R5,R6,R7,R8 *VFILL,RATIOZ,DATA,R9,R10,R11,R12 /COM, /COM, ----------- vmr049-pl5b-182 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl5b-182.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 61 FIGURE 2.23(C). /COM, THE RESULTS DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl5b-182 RADIAL STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl5b-182 AXIAL STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl5b-182 HOOP STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETZ(1),VALUEZ(1,1),RATIOZ(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM,

2308


VM-R049-PL5B 183 Input Listing /COM, FINISH /POST26 *DIM,LABEL1,CHAR,3 *DIM,VALUE1,,3,3 LABEL1(1) = ' SRAD ',' SAXI ',' SHOOP ' *VFILL,VALUE1(1,1),DATA,VALUEX(4,1),VALUEY(4,1),VALUEZ(4,1) *VFILL,VALUE1(1,2),DATA,R4,R8,R12 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl5b-182' /OUT,vmr049-pl5b-182,vrt /COM /COM,------------------- vmr049-pl5b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE182 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH *LIST,vmr049-pl5b-182,vrt

VM-R049-PL5B 183 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmr049-pl5b-183 /TITLE, vmr049-pl5b-183, PRESSURISED CYLINDER PLASTICITY BENCHMARK /COM, REFERENCE: NAFEMS REPORT:R0049. TEST PL-5 /PREP7 ET,1,183,,, KEYOPT,1,3,1 N,1,100,0,, N,2,100,50,, N,3,100,100,, N,4,125,0,, N,5,125,100,, N,6,150,0,, N,7,150,50,, N,8,150,100,, N,9,175,0,, N,10,175,100,, N,11,200,0,, N,12,200,50,, N,13,200,100,, E, 1,6,8,3,4,7,5,2 E, 6,11,13,8,9,12,10,7 MP,EX,1,21E3, MP,NUXY,1,0.3, TB,BISO,1, , , , TBMODIF,2,1,24.0 TBMODIF,3,1,4200 NSEL,U,LOC,Y,50 D,ALL,UY,0.0 NSEL,ALL FINISH /SOLU NLGEOM,ON


2309

NAFEMS Input Listings NSEL,S,LOC,X,100 SF,ALL,PRES,10.0 NSEL,ALL, NSUBST,10,,, OUTRES,ALL,ALL /OUT,SCRATCH SOLVE NSEL,S,LOC,X,100 SF,ALL,PRES,14.0 NSEL,ALL, NSUBST,10,,, OUTRES,ALL,ALL SOLVE NSEL,S,LOC,X,100 SF,ALL,PRES,24.0 NSEL, ALL, NSUBST,10,,, SOLVE NSEL,S,LOC,X,100 SF,ALL,PRES,34.0 NSEL,ALL, NSUBST,10,,, SOLVE SAVE /POST26 /GROPT,VIEW,0 /GTHK,CURVE,1 /GROPT,FILL,OFF /GRID,1 /GTHK,GRID,1 /GROPT,CGRID,1 /AXLAB,X,STEP /AXLAB,Y,STRESS /GTHK,AXIS,1 /GRTYP,0 /XRANGE,0,4 /YRANGE,-40,60 /OUT, ESOL,2,1,1,S,X, ESOL,3,1,1,S,Y, ESOL,4,1,1,S,Z, ESOL,5,1,1,EPEL,X, PLVAR,2,3,4 PRVAR,2,3,4,5 *DIM,VALUEX,ARRAY,4,1 *DO,JJ,1,4,1 *GET,VALUEX(JJ,1),VARI,2,RTIME,JJ *ENDDO R1=VALUEX(1,1)/(-8.603) R2=VALUEX(2,1)/(-10.603) R3=VALUEX(3,1)/(-19.307) R4=VALUEX(4,1)/(-27.025) *DIM,VALUEY,ARRAY,4,1 *DO,JJ,1,4,1 *GET,VALUEY(JJ,1),VARI,3,RTIME,JJ *ENDDO R5=VALUEY(1,1)/1.598 R6=VALUEY(2,1)/2.094 R7=VALUEY(3,1)/.964 R8=VALUEY(4,1)/3.632 *DIM,VALUEZ,ARRAY,4,1 *DO,JJ,1,4,1 *GET,VALUEZ(JJ,1),VARI,4,RTIME,JJ *ENDDO R9=VALUEZ(1,1)/15.706 R10=VALUEZ(2,1)/18.193 R11=VALUEZ(3,1)/22.820 R12=VALUEZ(4,1)/37.778 *DIM,STEP,CHAR,10 *DIM,TARGETX,CHAR,10

2310


VM-R049-PL5B 183 Input Listing *DIM,TARGETY,CHAR,10 *DIM,TARGETZ,CHAR,10 *DIM,RATIOX,,4,1 *DIM,RATIOY,,4,1 *DIM,RATIOZ,,4,1 STEP(1)='1.0','2.0','3.0','4.0' TARGETX(1)='-8.603','-10.603','-19.307','-27.025' TARGETY(1)='1.598','2.094','0.964','3.632' TARGETZ(1)='15.706','18.193','22.820','37.778' *VFILL,RATIOX,DATA,R1,R2,R3,R4 *VFILL,RATIOY,DATA,R5,R6,R7,R8 *VFILL,RATIOZ,DATA,R9,R10,R11,R12 /COM, /COM, ----------- vmr049-pl5b-183 RESULTS COMPARISON -------------/COM, /COM, vmr049-pl5b-183.jpeg RESULTS SHOULD MATCH R0049 NAFEMS MANUAL /COM, GRAPH RESULTS ON PAGE 61 FIGURE 2.23(C). /COM, THE RESULTS DISPLAYED ARE INCREMENTED FOR THIS PURPOSE. /COM, /COM, /COM, ------ vmr049-pl5b-183 RADIAL STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETX(1),VALUEX(1,1),RATIOX(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, ------ vmr049-pl5b-183 AXIAL STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETY(1),VALUEY(1,1),RATIOY(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, /COM, ------ vmr049-pl5b-183 HOOP STRESS RESULTS ------/COM, /COM, | STEP | TARGET | Mechanical APDL | RATIO /COM, *VWRITE,STEP(1),TARGETZ(1),VALUEZ(1,1),RATIOZ(1,1) (1X,A8,' ',1x,A8,' ',F14.3,' ',F12.3,' ') /COM, /COM, FINISH /POST26 *DIM,LABEL1,CHAR,3 *DIM,VALUE1,,3,3 LABEL1(1) = ' SRAD ',' SAXI ',' SHOOP ' *VFILL,VALUE1(1,1),DATA,VALUEX(4,1),VALUEY(4,1),VALUEZ(4,1) *VFILL,VALUE1(1,2),DATA,R4,R8,R12 *DIM,LABEL2,CHAR,2 LABEL2(1) = 'vmr049-','pl5b-183' /OUT,vmr049-pl5b-183,vrt /COM /COM,------------------- vmr049-pl5b RESULTS COMPARISON --------------------/COM, /COM, | Mechanical APDL | RATIO | INPUT | /COM, /COM, PLANE183 *VWRITE,LABEL1(1),VALUE1(1,1),VALUE1(1,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(2),VALUE1(2,1),VALUE1(2,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) *VWRITE,LABEL1(3),VALUE1(3,1),VALUE1(3,2),LABEL2(1),LABEL2(2) (1X,A8,' ',F14.4,' ',F9.4,' ',A7,A8) /COM, /COM,---------------------------------------------------------------/OUT FINISH


2311

NAFEMS Input Listings *LIST,vmr049-pl5b-183,vrt

VM-R083-CA1 221 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY, VMR083-CA1-221 /TITLE, VMR083-CA1-221, SOUND RADIATION OF A VIBRATING SPHERE /COM, REFERENCE: NAFEMS BENCHMARKS FOR RADIATION AND SCATTERING OF SOUND /COM, TEST NAME: CA1, R0038 /OUT,SCRATCH /NOPR /PREP7 PI = ACOS(-1) c0 = 340 rho = 1.225

! SPEED OF SOUND IN m/s ! DENSITY OF AIR IN kg/m^3

R = 1 Vn = 0.1

! SPHERE RADIUS IN m ! NORMAL VELOCITY IN m/s

FREQA = 100 FREQB = 500 WAVE = c0/FREQB H = WAVE/12 ET,1,FLUID221 KEYOPT,1,2,1 MP,SONC,1,c0 MP,DENS,1,rho ET,2,FLUID130 KEYOPT,2,1,2 MSHAPE,1,2D R,2,R+4*H

! FLUID221 ELEMENT ! NO FSI

! FLUID30 ELEMENT

SPHERE,R,R+4*H,0,90 TYPE,1 MAT,1 ESIZE,H VMESH,ALL ALLSEL,ALL CSYS,2 NSEL,S,LOC,X,R+4*H TYPE,2 REAL,2 MAT,1 ESIZE,H ESURF ALLSEL,ALL NSEL,S,LOC,X,R+4*H SF,ALL,MXWF ALLSEL,ALL NSEL,S,LOC,X,R SF,ALL,SHLD,Vn CSYS,0 ALLSEL,ALL FINISH /SOLU ANTY,HARMONIC HROPT,AUTO HARFRQ,0,FREQA NSUB,5 SOLVE

2312


VM-R083-CA1 221 Input Listing FINISH /POST26 N1=NODE(1,0,0) ! NODE AT LOCATION X=1,Y=0,Z=0 NSOL,2,N1,SPL /OUT /COM, ------ r=1m, 0-100 Hz with 5 substeps-----/COM, PRVAR,2 ALLSEL,ALL FINISH /POST1 HFSYM,0,SHB,SHB SET,LIST *GET,NUMSET,ACTIVE,0,SET,SBST *DIM,Freq1,ARRAY,NUMSET *DIM,SPLR,ARRY,NUMSET *DIM,SPL1,ARRAY,NUMSET *DIM,RATIO1,ARRAY,NUMSET NSET = 0 *DO,i0,1,NUMSET,1 NSET=NSET+1 SET,1,i0,,0 *GET,frq,ACTIVE,0,SET,FREQ Freq1(NSET)=frq k = 2*PI*Freq1(NSET)/c0 p = rho*c0*vn*R**2/(1+(k**2)*(R**2))*CXABS(R*k**2,-k) p0 = 2e-5 SPL1(nset)= 20*log10((p/SQRT(2))/p0) *ENDDO R1 = 114.161/SPL1(1) R2 = 118.845/SPL1(2) R3 = 120.778/SPL1(3) R4 = 121.727/SPL1(4) R5 = 122.247/SPL1(5) *VFILL,SPLR,DATA,114.161,118.845,120.778,121.727,122.247 *VFILL,RATIO1,DATA,R1,R2,R3,R4,R5 SAVE,TABLE_1 FINISH /POST1 HFSYM,0,SHB,SHB SET,LIST *GET,NUMSET,ACTIVE,0,SET,SBST *DIM,Freq2,ARRAY,NUMSET *DIM,SPL2,ARRAY,NUMSET *DIM,SPL3,ARRAY,NUMSET *DIM,RATIO2,ARRAY,NUMSET NSET = 0 *DO,i0,1,NUMSET,1 NSET=NSET+1 SET,1,i0,,0 *GET,frq,ACTIVE,0,SET,FREQ Freq2(NSET)=frq PRFAR,PRES,SPLC,0,0,0,0,0,0,15 ! FAR FIELD PRESSURE *GET,SPL2(NSET),ACUS,0,SPL k = 2*PI*Freq2(NSET)/c0 p = rho*c0*vn*R**2/(1+(k**2)*(R**2))*CXABS(R*k**2/15,-k/15)*CXABS(COS(14*k),SIN(14*k)) p0 = 2e-5 SPL3(NSET) = 20*log10((p/SQRT(2))/p0) *ENDDO R21 = SPL2(1)/SPL3(1) R22 = SPL2(2)/SPL3(2) R23 = SPL2(3)/SPL3(3) R24 = SPL2(4)/SPL3(4) R25 = SPL2(5)/SPL3(5) *VFILL,RATIO2,DATA,R21,R22,R23,R24,R25 SAVE,TABLE_2 FINISH /OUT,SCRATCH


2313

NAFEMS Input Listings /SOLU ANTY,HARMONIC HROPT,AUTO HARFRQ,FREQA,FREQB NSUB,4 SOLVE FINISH /POST26 N1=NODE(1,0,0) ! NODE AT LOCATION X=1,Y=0,Z=0 NSOL,3,N1,SPL /OUT /COM, ------ r=1m, 100-500 Hz with 4 substeps-----/COM, PRVAR,3 FINISH /POST1 HFSYM,0,SHB,SHB SET,LIST *GET,NUMSET,ACTIVE,0,SET,SBST *DIM,Freq3,ARRAY,NUMSET *DIM,SPL4R,ARRAY,NUMSET *DIM,SPL4,ARRAY,NUMSET *DIM,RATIO3,ARRAY,NUMSET NSET = 0 *DO,i0,1,NUMSET,1 NSET=NSET+1 SET,1,i0,,0 *GET,frq,ACTIVE,0,SET,FREQ Freq3(NSET)=frq k = 2*PI*Freq3(NSET)/c0 p = rho*c0*vn*R**2/(1+(k**2)*(R**2))*CXABS(R*k**2,-k) p0 = 2e-5 SPL4(nset)= 20*log10((p/SQRT(2))/p0) *ENDDO R31 = 123.053/SPL4(1) R32 = 123.222/SPL4(2) R33 = 123.282/SPL4(3) R34 = 123.310/SPL4(4) *VFILL,RATIO3,DATA,R31,R32,R33,R34 *VFILL,SPL4R,DATA,123.053,123.222,123.282,123.310 SAVE,TABLE_3 FINISH /POST1 HFSYM,0,SHB,SHB SET,LIST *GET,NUMSET,ACTIVE,0,SET,SBST *DIM,Freq4,ARRAY,NUMSET *DIM,SPL5,ARRAY,NUMSET *DIM,SPL6,ARRAY,NUMSET *DIM,RATIO4,ARRAY,NUMSET NSET = 0 *DO,i0,1,NUMSET,1 NSET=NSET+1 SET,1,i0,,0 *GET,frq,ACTIVE,0,SET,FREQ Freq4(NSET)=frq PRFAR,PRES,SPLC,0,0,0,0,0,0,15 ! FAR FIELD PRESSURES *GET,SPL5(NSET),ACUS,0,SPL k = 2*PI*Freq4(NSET)/c0 p = rho*c0*vn*R**2/(1+(k**2)*(R**2))*CXABS(R*k**2/15,-k/15)*CXABS(COS(14*k),SIN(14*k)) p0 = 2e-5 SPL6(NSET) = 20*log10((p/SQRT(2))/p0) *ENDDO R41 = SPL5(1)/SPL6(1) R42 = SPL5(2)/SPL6(2) R43 = SPL5(3)/SPL6(3) R44 = SPL5(4)/SPL6(4) *VFILL,RATIO4,DATA,R41,R42,R43,R44 SAVE,TABLE_4

2314


VM-R083-CA2 221 Input Listing FINISH /OUT,vmr083-ca1-221,vrt /COM, /COM, --------------------------------------------------------------------/COM, /COM, | Freq(Hz) | Mechanical APDL | ANALYTICAL | RATIO | /COM, /NOPR RESUME,TABLE_1 /GOPR /COM, R=1m, 0-100 Hz /COM, *VWRITE,Freq1(1),SPLR(1),SPL1(1),RATIO1(1) (4x,e13.6,5x,e13.5,5x,e13.5,5x,f7.4) /COM, /NOPR RESUME,TABLE_2 /GOPR /COM, R=15m, 0-100 Hz /COM, *VWRITE,Freq2(1),SPL2(1),SPL3(1),RATIO2(1) (4x,e13.6,5x,e13.5,5x,e13.5,5x,f7.4) /COM, /NOPR RESUME,TABLE_3 /GOPR /COM, R=1m, 100-500 Hz /COM, *VWRITE,Freq3(1),SPL4R(1),SPL4(1),RATIO3(1) (4x,e13.6,5x,e13.5,5x,e13.5,5x,f7.4) /COM, /NOPR RESUME,TABLE_4 /GOPR /COM, R=15m, 100-500 Hz /COM, *VWRITE,Freq4(1),SPL5(1),SPL6(1),RATIO4(1) (4x,e13.6,5x,e13.5,5x,e13.5,5x,f7.4) /COM, /COM, ---------------------------------------------------------------/OUT, *LIST,vmr083-ca1-221,vrt FINISH

VM-R083-CA2 221 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY, VMR083-CA2-221 /TITLE, VMR083-CA2-221, SOUND RADIATION OF A CYLINDER WITH VIBRATING LATERAL SURFACE /COM, REFERENCE: NAFEMS BENCHMARKS FOR RADIATION AND SCATTERING OF SOUND /COM, TEST NO: CA2, R0038 /NOPR /PREP7 /OUT,SCRATCH PI = ACOS(-1) c0 = 340 rho = 1.225

! SPEED OF SOUND IN m/s ! DENSITY OF FLUID IN kg/m^3

R = 1 L = 4

! RADIUS in m ! LENGTH in m

ET,1,FLUID221,,1 ET,2,FLUID221,,1,,1

! FLUID221, NO FSI ! FLUID221, NO FSI,INCLUDE PML ABSORBING

MP,SONC,1,c0 MP,DENS,1,rho


2315

NAFEMS Input Listings vn = 1 z0 = rho*c0

! RADIAL VELOCITY IN m/s

k1 = 1 k2 = 2 FREQ1 = k1*c0/(2*PI) FREQ2 = k2*c0/(2*PI) WAVE = c0/FREQ2 H = WAVE/12 NA = NPML A1 = A2 = B1 = B2 =

3 = 4 R+NA*H L/2+NA*H A1+NPML*H A2+NPML*H

CYLIND,0,R,-L/2,L/2,0,180 BLOCK,-A1,A1,,A1,-A2,A2 BLOCK,-B1,B1,,B1,-B2,B2 VSBV,3,2,,DELETE,KEEP VSBV,2,1,,DELETE,DELETE ALLSEL,ALL VGLUE,ALL TYPE,1 MAT,1 VSEL,S,,,3 ESIZE,H VMESH,ALL ALLSEL,ALL TYPE,2 MAT,1 VSEL,S,,,4 ESIZE,H VMESH,ALL ALLSEL,ALL CSYS,1 NSEL,S,LOC,X,R SF,ALL,SHLD,-vn CSYS,0 ALLSEL,ALL NSEL,S,LOC,Z,L/2 NSEL,A,LOC,Z,-L/2 SF,ALL,SHLD,0 ALLSEL,ALL NSEL,S,LOC,Z,B2 NSEL,A,LOC,Z,-B2 NSEL,A,LOC,X,B1 NSEL,A,LOC,X,-B1 NSEL,A,LOC,Y,B1 D,ALL,PRES,0 ALLSEL,ALL FINISH /SOLU ANTY,HARMONIC HROPT,AUTO HARFRQ,FREQ1 SOLVE FINISH /POST1 HFSYM,0,,SHB SET,1 /OUT *DIM,P1,ARRAY,10,1 *DO,i,1,10,1

2316


VM-R083-CA2 221 Input Listing DEG = (i-1)*10 PRFAR,PRES,SUMC,90,90,0,DEG,DEG,0,100 *GET,P1(i,1),ACUS,0,PRES *ENDDO A1 = P1(1,1)/5.3532 A2 = P1(2,1)/5.3532 A3 = P1(3,1)/5.3532 A4 = P1(4,1)/5.3532 A5 = P1(5,1)/5.3532 A6 = P1(6,1)/5.3532 A7 = P1(7,1)/5.3532 A8 = P1(8,1)/5.3532 A9 = P1(9,1)/5.3532 A10 = P1(10,1)/5.3532 *DIM,ANS1,,10,1 *DIM,ANG,CHAR,10,1 *DIM,NAD1,CHAR,10,1 *DIM,RATIO1,,10,1 ANG(1)='0','10','20','30','40','50','60','70','80','90' NAD1(1)='0.770','0.780','0.800','0.840','0.880','0.920','0.950','0.990','1.000','1.000' R1 = A1/0.77 R2 = A2/0.78 R3 = A3/0.80 R4 = A4/0.84 R5 = A5/0.88 R6 = A6/0.92 R7 = A7/0.95 R8 = A8/0.99 R9 = A9/1.00 R10 = A10/1.00 *VFILL,ANS1,DATA,A1,A2,A3,A4,A5,A6,A7,A8,A9,A10 *VFILL,RATIO1,DATA,R1,R2,R3,R4,R5,R6,R7,R8,R9,R10 SAVE,TABLE_1 FINISH /OUT,SCRATCH /SOLU ANTY,HARMONIC HROPT,AUTO HARFRQ,FREQ2 SOLVE FINISH /POST1 HFSYM,0,,SHB SET,1 /OUT *DIM,P2,ARRAY,10,1 *DO,i,1,10,1 DEG = (i-1)*10 PRFAR,PRES,SUMC,90,90,0,DEG,DEG,0,100 *GET,P2(i,1),ACUS,0,PRES *ENDDO A11 = P2(1,1)/8.4103 A12 = P2(2,1)/8.4103 A13 = P2(3,1)/8.4103 A14 = P2(4,1)/8.4103 A15 = P2(5,1)/8.4103 A16 = P2(6,1)/8.4103 A17 = P2(7,1)/8.4103 A18 = P2(8,1)/8.4103 A19 = P2(9,1)/8.4103 A20 = P2(10,1)/8.4103 *DIM,ANS2,,10,1 *DIM,NAD2,CHAR,10,1 *DIM,RATIO2,,10,1 NAD2(1)='0.460','0.410','0.290','0.100','0.160','0.390','0.600','0.790','0.930','1.000' R11 = A11/0.46 R12 = A12/0.41 R13 = A13/0.29 R14 = A14/0.10 R15 = A15/0.16


2317

NAFEMS Input Listings R16 = A16/0.39 R17 = A17/0.60 R18 = A18/0.79 R19 = A19/0.93 R20 = A20/1.00 *VFILL,ANS2,DATA,A11,A12,A13,A14,A15,A16,A17,A18,A19,A20 *VFILL,RATIO2,DATA,R11,R12,R13,R14,R15,R16,R17,R18,R19,R20 SAVE,TABLE_2 FINISH /OUT,vmr083-ca2-221,vrt /COM, /COM,-------------------------------------------------------/COM, /COM,| THETA | Mechanical APDL | NADwork | RATIO | /COM, /COM, /COM, Pn (k = 1) /COM, /NOPR RESUME,TABLE_1 /GOPR /COM, *VWRITE,ANG(1),ANS1(1,1),NAD1(1),RATIO1(1,1) (6X,A8,' ',F5.3,' ',10X,A8,' ',F7.3,' ') /COM, /COM, /COM, Pn (k = 2) /NOPR RESUME,TABLE_2 /GOPR /COM, *VWRITE,ANG(1),ANS2(1,1),NAD2(1),RATIO2(1,1) (6X,A8,' ',F5.3,' ',10X,A8,' ',F7.3,' ') /COM, /COM,------------------------------------------------------/OUT, *LIST,vmr083-ca2-221,vrt FINISH

VMFEBSTA-LE1 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmfebsta-le1-181 /TITLE,vmfebsta-le1-181,LINEAR ELASTIC ANALYSIS IN ELLIPTICAL MEMBRANE /COM, REFERENCE:" DAVIS ET AL, SELECTED FE BENCHMARKS IN STRUCTURAL AND /COM, THERMAL ANALYSIS,FEBSTA,AUG 1986,1-7-86/1 /COM, ORIGINIAL TEST NUMBER: LE1 /OUT,SCRATCH /PREP7 _geomgen = 0 *if,_geomgen,eq,1,then ET,1,SHELL181 KEYOPT,1,1,1 KEYOPT,1,3,2

! SHELL 181 ELEMENT ! MEMBRANE STIFFNESS ! FULL INTEGRATION

SECTYPE,1,SHELL SECDATA,0.1,1 MP,EX,1,210e9 MP,NUXY,1,0.3 K,1,0,1,0 K,2,0.25,0.9921,0 K,3,0.5,0.9682,0 K,4,0.75,0.92702, K,5,1,0.8660254

2318


VMFEBSTA-LE1 181 Input Listing K,6,1.25,0.78062, K,7,1.5,0.661437 K,8,1.75,0.4841229 K,9,2.0,0 K,10,2.25,0, K,11,2.50,0, K,12,2.75,0, K,13,3.0,0, K,14,3.25,0, K,15,3.0,1.05769 K,16,2.75,1.46558 K,17,2.50,1.7571 K,18,2.25,1.9844 K,19,2.00,2.1676 K,20,1.75,2.3172 K,21,1.50,2.4395 K,22,1.25,2.5384 K,23,1.00,2.6165 K,24,0.75,2.6757 K,25,0.50,2.7172 K,26,0.25,2.7418 K,27,0,2.75,0 A,1,3,4,5,6,7,8,9,14,15,16,17,19,21,23,25,27

LSEL,S,LINE,,17 LSEL,A,LINE,,8 LESIZE,ALL,,,5 LSEL,S,LINE,,7,9,2 LESIZE,ALL,,,5 LSEL,S,LINE,,1,6,1 LSEL,A,LINE,,10,16,1 LESIZE,ALL,,,2 AMESH,ALL ALLSEL,ALL LSEL,S,LINE,,9,16,1 NSLL,S,1 SF,ALL,PRES,-10E6*0.1 LSEL,ALL NSEL,S,LOC,X,0 D,ALL,UX,0 NSEL,ALL

NSEL,S,LOC,Y,0 D,ALL,UY,0 NSEL,ALL D,ALL,UZ,0 ALLSEL,ALL cdwrite,db,vmfebsta-le1-181,cdb *else cdread,db,vmfebsta-le1-181,cdb *endif FINI /SOLU ANTYPE,STATIC NSUBS,10,10,10 OUTRES,ALL,ALL SOLVE FINI /POST1 SET,LAST N1 = NODE(2,0,0)


2319

NAFEMS Input Listings *GET,SY1,NODE,N1,S,Y ! STRESS FROM Mechanical APDL IN PA *DIM,LABEL,CHAR,1 *DIM,VALUE,,1,3 LABEL(1,1) = 'TANG_STRESS' *VFILL,VALUE(1,1),DATA,92.7 *VFILL,VALUE(1,2),DATA,(SY1/1000000) *VFILL,VALUE(1,3),DATA,((SY1/1000000)/(92.7)) /OUT,vmfebsta-le1-181,vrt /COM,------------------- vmfebsta-le1-181 RESULTS COMPARISON -------------/COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM,-----------------------------------------------------------------------/OUT, FINISH *LIST,vmfebsta-le1-181,vrt

VMFEBSTA-LE5 181 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmfebsta-le5-181 /TITLE,vmfebsta-le5-181, Z-SECTION CANTILEVER SHELL /COM, REFERENCE: DAVIES ET AL, SELECTED FE BENCHMARKS IN STRUCTURAL AND /COM, THERMAL ANALYSIS FEBSTA, AUG 1986,1-7-86/1 /COM, ORIGINAL TEST NUMBER: LE5 /OUT,SCRATCH /PREP7 ET,1,SHELL181 ! SHELL 181 ELEMENT KEYOPT,1,3,0 ! REDUCED INTEGRATION KEYOPT,1,8,2 ! STORE DATA FOR ALL LAYERS SECTYPE,1,SHELL SECDATA,0.1,1,0,5 MP,EX,1,210E9 MP,NUXY,1,0.3 K,1,0,1,-1 K,2,0,0,-1 K,3,0,0,1 K,4,0,-1,1 K,5,10,-1,1 K,6,10,0,1 K,7,10,0,-1 K,8,10,1,-1 A,1,2,7,8 A,2,3,6,7 A,3,4,5,6 ESIZE,1.25 AMESH,1 AMESH,3 ALLSEL,ALL LESIZE,6,,,8 LESIZE,2,,,8 LESIZE,5,,,1 LESIZE,7,,,1 AMESH,2 ALLSEL,ALL NUMMRG,NODE NSEL,S,LOC,X,0 D,ALL,ALL,0 ! CANTILEVERED STRUCTURE NSEL,ALL

2320


VMFEBSTA-LE5 281 Input Listing

NSEL,S,LOC,X,10 NSEL,R,LOC,Y,0,1 NSEL,R,LOC,Z,-1 F,ALL,FY,600000 NSEL,S,LOC,X,10 NSEL,R,LOC,Y,0,-1 NSEL,R,LOC,Z,1 F,ALL,FY,-600000 NSEL,ALL FINI

! UNIFORMLY DISTRIBUTED EDGE SHEARS

! UNIFORMLY DISTRIBUTED EDGE SHEARS

/SOLU ANTYPE,STATIC OUTRES,ALL,ALL NSUBS,10,10,10 TIME,1 SOLVE FINI /POST1 SET,LAST N1=NODE(2.5,-1,1) SHELL,BOT ! BOTTOM SHELL LAYER PRNSOL,S *GET,SX1,NODE,N1,S,X ! AXIAL STRESS AT NODE 23 IN PA *DIM,LABEL,CHAR,1 *DIM,VALUE,,1,3 LABEL(1,1) = 'STRESS-AX' *VFILL,VALUE(1,1),DATA,-108 ! REFERENCE STRESS IN MPA *VFILL,VALUE(1,2),DATA,(SX1/1000000) *VFILL,VALUE(1,3),DATA,ABS((SX1/1000000)/(-108)) /OUT,vmfebsta-le5-181,vrt /COM,----------------------vmfebsta-le5-181 RESULTS COMPARISON----------------/COM, /COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM,--------------------------------------------------------------------------/OUT, FINISH *LIST,vmfebsta-le5-181,vrt

VMFEBSTA-LE5 281 Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /VERIFY,vmfebsta-le5-281 /TITLE,vmfebsta-le5-281, Z-SECTION CANTILEVER SHELL /COM, REFERENCE: DAVIES ET AL, SELECTED FE BENCHMARKS IN STRUCTURAL AND /COM, THERMAL ANALYSIS FEBSTA, AUG 1986,1-7-86/1 /COM, ORIGINAL TEST NUMBER: LE5 /OUT,SCRATCH /PREP7 ET,1,SHELL281 ! SHELL 281 ELEMENT KEYOPT,1,8,2 ! STORE DATA FOR ALL LAYERS SECTYPE,1,SHELL SECDATA,0.1,1,0,5 MP,EX,1,210E9 MP,NUXY,1,0.3 K,1,0,1,-1 K,2,0,0,-1 K,3,0,0,1


2321

NAFEMS Input Listings K,4,0,-1,1 K,5,10,-1,1 K,6,10,0,1 K,7,10,0,-1 K,8,10,1,-1 A,1,2,7,8 A,2,3,6,7 A,3,4,5,6 ESIZE,1.25 AMESH,1 AMESH,3 ALLSEL,ALL LESIZE,6,,,8 LESIZE,2,,,8 LESIZE,5,,,1 LESIZE,7,,,1 AMESH,2 ALLSEL,ALL NUMMRG,NODE NSEL,S,LOC,X,0 D,ALL,ALL,0 ! CANTILEVERED STRUCTURE NSEL,ALL ET,2,SURF156 KEYOPT,2,2,1 KEYOPT,2,4,0 KEYOPT,2,5,1 KEYOPT,2,7,1

! ! ! !

APPLY LOADS IN LOCAL COORDINATE SYSTEM NO MIDSIDE NODES NO ORIENTATION NODE USE ORIGINAL AREA

LOCAL,12,0,0,0,0,0,0,0 CSYS,0 TYPE,2 ESYS,12 E,4,20,21 ALLSEL,ALL ET,3,SURF156 KEYOPT,3,2,1 KEYOPT,3,4,0 KEYOPT,3,5,1 KEYOPT,3,7,1

! ! ! !

APPLY LOADS IN LOCAL COORDINATE SYSTEM NO MIDSIDE NODES NO ORIENTATION NODE USE ORIGINAL AREA

LOCAL,13,0,0,0,0,0,0,0 CSYS,0 TYPE,3 ESYS,13 E,63,47,64 ESEL,ALL ESEL,S,TYPE,,2 SFE,ALL,2,PRES,1,600000 ESEL,ALL ESEL,S,TYPE,,3 SFE,ALL,2,PRES,1,-600000 ESEL,ALL FINI /SOLU ANTYPE,STATIC OUTRES,ALL,ALL NSUBS,10,10,10 TIME,1 SOLVE FINI

2322


VMFEBSTA-LE5 281 Input Listing /POST1 SET,LAST N1=NODE(2.5,-1,1) SHELL,BOT ! BOTTOM SHELL LAYER PRNSOL,S *GET,SX1,NODE,N1,S,X ! AXIAL STRESS AT NODE 23 IN PA /VIEW,1,1,1,1 PLNSOL,U,SUM PLNSOL,S,EQV *DIM,LABEL,CHAR,1 *DIM,VALUE,,1,3 LABEL(1,1) = 'STRESS-AX' *VFILL,VALUE(1,1),DATA,-108 ! REFERENCE STRESS IN MPA *VFILL,VALUE(1,2),DATA,(SX1/1000000) *VFILL,VALUE(1,3),DATA,ABS((SX1/1000000)/(-108)) /OUT,vmfebsta-le5-281,vrt /COM,----------------------vmfebsta-le5-281 RESULTS COMPARISON----------------/COM, /COM, /COM, | TARGET | Mechanical APDL | RATIO /COM, /COM, *VWRITE,LABEL(1,1),VALUE(1,1),VALUE(1,2),VALUE(1,3) (1X,A8,' ',F10.4,' ',F14.4,' ',F15.3) /COM,--------------------------------------------------------------------------/OUT, FINISH *LIST,vmfebsta-le5-281,vrt


2323

2324


Appendix E. NRC Piping Benchmarks Input Listings This appendix contains all of the input listings for the NRC Piping Benchmarks problems documented in Part V: NRC Piping Benchmarks (p. 1023). vm-nr1677-1-1a-a Input Listing vm-nr1677-1-2a-a Input Listing vm-nr1677-1-3a-a Input Listing vm-nr1677-1-4a-a Input Listing vm-nr1677-1-5a-a Input Listing vm-nr1677-1-6a-a Input Listing vm-nr1677-1-7a-a Input Listing vm-nr1677-2-1a-a Input Listing vm-nr1677-2-1b-a Input Listing vm-nr1677-2-1c-a Input Listing vm-nr1677-2-2a-a Input Listing vm-nr1677-2-2b-a Input Listing vm-nr1677-2-2c-a Input Listing vm-nr1677-2-3a-a Input Listing vm-nr1677-2-3b-a Input Listing vm-nr1677-2-3c-a Input Listing vm-nr1677-2-4a-a Input Listing vm-nr1677-2-4c-a Input Listing vm-nr6645-1-1a-a Input Listing vm-nr6645-1-2a-a Input Listing vm-nr1677-01-1a Input Listing vm-nr1677-01-2a Input Listing vm-nr1677-01-3a Input Listing vm-nr1677-01-4a Input Listing vm-nr1677-01-5a Input Listing vm-nr1677-01-6a Input Listing vm-nr1677-01-7a Input Listing vm-nr1677-02-1a Input Listing vm-nr1677-02-1b Input Listing vm-nr1677-02-1c Input Listing vm-nr1677-02-2a Input Listing vm-nr1677-02-2b Input Listing vm-nr1677-02-2c Input Listing vm-nr1677-02-3a Input Listing vm-nr1677-02-3b Input Listing vm-nr1677-02-3c Input Listing vm-nr6645-01-1a Input Listing vm-nr6645-01-2a Input Listing vm-nr1677-02-4a Input Listing vm-nr1677-02-4c Input Listing demonstration-problem1-290 Input Listing demonstration-problem1-281 Input Listing demonstration-problem1-18 Input Listing Release 15.0 - © SAS IP, Inc. All rights reserved. - Contains proprietary and confidential information of ANSYS, Inc. and its subsidiaries and affiliates.

2325

NRC Piping Benchmarks Input Listings demonstration-problem2-290 Input Listing demonstration-problem2-281 Input Listing demonstration-problem2-16-18 Input Listing demonstration_problem3-289-290 Input Listing demonstration-problem3-281 Input Listing demonstration-problem3-16-18 Input Listing

vm-nr1677-1-1a-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-1-1a-a /title,vm-nr1677-1-1a-a,NRC Piping Benchmark Problems,Volume 1,Problem 1 /com,**************************************************************************** /com, /com, Reference: Piping Benchmark Problems /com, NUREG/CR--1677-Vol.1 /com, P.Bezier, M.Hartzman, M.Reich /com, August 1980 /com, /com, Elements used: Pipe16, Pipe18 and Mass21 /com, /com, Results comparsion: /com, The following results are compared against NRC piping benchmark values /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum nodal displacements and rotations obtained from spectrum solution. /com, 3. Element forces/moments obtained from spectrum solution. /com,**************************************************************************** /out,scratch /prep7 et,1,pipe16 et,2,pipe18 et,3,mass21

! Element 1 - PIPE16 (Straight Pipe Element) ! Element 2 - PIPE18 (Pipe Bend Element) ! Element 3 - MASS21 (Mass Element)

keyopt,3,3,2

! 3-D Mass without Rotary Inertia

/com, Real Constants /com,**************** r,1,7.288,0.241,0.0,0.0,0.0,0.0 r,2,7.288,0.241,36.30,0.0,0.0,0.0 /com, Nodes /com,******* n,1,0.0,0.0,0.0 n,2,0.0,54.45,0.0 n,3,0.0,108.9,0.0 n,4,10.632,134.568,0.0 n,5,36.3,145.2,0.0 n,6,54.15,145.2,0.0 n,7,72.0,145.2,0.0 n,8,97.668,145.2,10.632 n,9,108.3,145.2,36.3 n,10,108.3,145.2,56.80 n,11,108.3,145.2,77.3 /com, Straight Pipe (Tangent Elements) /com,********************************** type,1 mat,1 real,1 en,1,1,2 en,2,2,3

2326


vm-nr1677-1-1a-a Input Listing en,5,5,6 en,6,6,7 en,9,9,10 en,10,10,11 /com, Bend Pipe Elements /com,********************************** type,2 mat,1 real,2 en,3,3,4,2 en,4,4,5,6 en,7,7,8,6 en,8,8,9,10 mp,ex,1,24e6 mp,nuxy,1,0.3 /com, Real constants for mass element /com, ******************************* r,12,0.03988 r,13,0.05032 r,14,0.02088 r,15,0.01698 r,16,0.01307 r,17,0.01698 r,18,0.01044 r,19,0.01795 r,20,0.01501 /com, Mass Elements /com,*************** type,3 real,12 e,2 real,13 e,3 real,14 e,4 real,15 e,5 real,16 e,6 real,17, e,7 real,18 e,8 real,19 e,9 real,20 e,10 /com, Constraints /com,************* d,1,all,0 d,11,all,0 allsel,all save finish


2327

NRC Piping Benchmarks Input Listings

/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal modopt,lanb,5 mxpand,,,,yes solve save

! LANB mode extraction method

/com,=========================== /com, Compare Modal Frequencies /com,=========================== /com, *dim,label,,5 *dim,freq_ans,,5 *dim,freq_exp,,5 *dim,freq_err,,5 *do,i,1,5 label(i)=i *enddo *do,i,1,5 *get,freq_ans(i),mode,i,freq *enddo *vfill,freq_exp,data,0.2853e+02,0.5577e+02,0.8150e+02,0.1417e+03,0.1628e+03 *do,i,1,5 freq_err(i)=abs(freq_ans(i)/freq_exp(i)) *enddo *status,freq_err save,table_1 finish /com,---------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr ! Perform Spectrum Analysis spopt,sprs ! Single Point Excitation Response Spectrum dmprat,0.02 ! Constant Damping Ratio grp,0.001 ! Group Modes based on significance level svtyp,2 ! Seismic Acceleration Response Loading sed,1 ! Excitation in X direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,533.2,467.2,443.6,380,289,239.4,192.6,184.1,145 solve sed,,1 ! Excitation in Y direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,266.7,580.7,580.7,466.7,792,792,293.3,516.7,516.7 sv,0.02,355.5,311.5,295.7,253.3,192.7,159.6,128.4,122.7,96.7 solve

2328


vm-nr1677-1-1a-a Input Listing

sed,,,1 ! Excitation in Z direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,533.2,467.2,443.6,380,289,239.4,192.6,184.1,145 solve fini /com,---------------------------------------------------------------------------/post1 /input,,mcom /com, *Labels* *dim,label2,char,1,6 *dim,label3,char,6,1 *dim,label4,char,6,1 /com,------------------------label2(1,1) label2(1,2) label2(1,3) label2(1,4) label2(1,5) label2(1,6)

= = = = = =

'ux_5' 'uy_7' 'uz_4' 'rotx_3' 'roty_7' 'rotz_3'

/com,----------------------label3(1,1)='PX(I)' label3(2,1)='VY(I)' label3(3,1)='VZ(I)' label3(4,1)='TX(I)' label3(5,1)='MY(I)' label3(6,1)='MZ(I)' /com,----------------------label4(1,1)='PX(J)' label4(2,1)='VY(J)' label4(3,1)='VZ(J)' label4(4,1)='TX(J)' label4(5,1)='MY(J)' label4(6,1)='MZ(J)' /com,----------------------------------/com, *======================================================== /com, * Maximum nodal displacements and rotations comparsion /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,5,U,X *GET,AdisY,NODE,7,U,Y *GET,AdisZ,NODE,4,U,Z *GET,ArotX,NODE,3,ROT,X *GET,ArotY,NODE,7,ROT,Y *GET,ArotZ,NODE,3,ROT,Z /com, Expected results from NRC manual /com, ********************************* *SET,EdisX,7.84967e-03 *SET,EdisY,2.49629e-03 *SET,EdisZ,1.74471e-02 *SET,ErotX,1.84130e-04 *SET,ErotY,2.12142e-04 *SET,ErotZ,7.01236e-05


2329


/com, Error computation /com, ********************* ERdisX=ABS((AdisX)/(EdisX)) ERdisY=ABS((AdisY)/(EdisY)) ERdisZ=ABS((AdisZ)/(EdisZ)) ERrotX=ABS((ArotX)/(ErotX)) ERrotY=ABS((ArotY)/(ErotY)) ERrotZ=ABS((ArotZ)/(ErotZ)) *dim,value,,6,3 *vfill,value(1,1),data,EdisX *vfill,value(1,2),data,AdisX *vfill,value(1,3),data,ERdisX *vfill,value(2,1),data,EdisY *vfill,value(2,2),data,AdisY *vfill,value(2,3),data,ERdisY *vfill,value(3,1),data,EdisZ *vfill,value(3,2),data,AdisZ *vfill,value(3,3),data,ERdisZ *vfill,value(4,1),data,ErotX *vfill,value(4,2),data,ArotX *vfill,value(4,3),data,ERrotX *vfill,value(5,1),data,ErotY *vfill,value(5,2),data,ArotY *vfill,value(5,3),data,ERrotY *vfill,value(6,1),data,ErotZ *vfill,value(6,2),data,ArotZ *vfill,value(6,3),data,ERrotZ save,table_2 /com,----------------------------------------------------------/com, *======================================================== /com, * Element Forces and Moments Comparison /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *dim,elem_res_I,,3,6 *dim,elem_res_J,,3,6 *dim,pxi,,3 *dim,vyi,,3 *dim,vzi,,3 *dim,txi,,3 *dim,myi,,3 *dim,mzi,,3 *dim,pxj,,3 *dim,vyj,,3 *dim,vzj,,3 *dim,txj,,3 *dim,myj,,3 *dim,mzj,,3 esel,s,ename,,16 esel,a,ename,,18 /com,========== /com, Node I /com,==========

2330


vm-nr1677-1-1a-a Input Listing /com, Element #1 /com,*********** *get,pxi(1,1),elem,1,smisc,1 *get,vyi(1,1),elem,1,smisc,2 *get,vzi(1,1),elem,1,smisc,3 *get,txi(1,1),elem,1,smisc,4 *get,myi(1,1),elem,1,smisc,5 *get,mzi(1,1),elem,1,smisc,6 *vfill,elem_res_I(1,1),data,pxi(1,1) *vfill,elem_res_I(1,2),data,vyi(1,1) *vfill,elem_res_I(1,3),data,vzi(1,1) *vfill,elem_res_I(1,4),data,txi(1,1) *vfill,elem_res_I(1,5),data,myi(1,1) *vfill,elem_res_I(1,6),data,mzi(1,1) /com, Element #10 /com,************* *get,pxi(2,1),elem,10,smisc,1 *get,vyi(2,1),elem,10,smisc,2 *get,vzi(2,1),elem,10,smisc,3 *get,txi(2,1),elem,10,smisc,4 *get,myi(2,1),elem,10,smisc,5 *get,mzi(2,1),elem,10,smisc,6 *vfill,elem_res_I(2,1),data,pxi(2,1) *vfill,elem_res_I(2,2),data,vyi(2,1) *vfill,elem_res_I(2,3),data,vzi(2,1) *vfill,elem_res_I(2,4),data,txi(2,1) *vfill,elem_res_I(2,5),data,myi(2,1) *vfill,elem_res_I(2,6),data,mzi(2,1) /com, Element #4 /com,*********** *get,pxi(3,1),elem,4,smisc,1 *get,vyi(3,1),elem,4,smisc,2 *get,vzi(3,1),elem,4,smisc,3 *get,txi(3,1),elem,4,smisc,4 *get,myi(3,1),elem,4,smisc,5 *get,mzi(3,1),elem,4,smisc,6 *vfill,elem_res_I(3,1),data,pxi(3,1) *vfill,elem_res_I(3,2),data,vyi(3,1) *vfill,elem_res_I(3,3),data,vzi(3,1) *vfill,elem_res_I(3,4),data,txi(3,1) *vfill,elem_res_I(3,5),data,myi(3,1) *vfill,elem_res_I(3,6),data,mzi(3,1)

/com,========== /com, Node J /com,========== /com, Element #1 /com,************ *get,pxj(1,1),elem,1,smisc,7 *get,vyj(1,1),elem,1,smisc,8 *get,vzj(1,1),elem,1,smisc,9 *get,txj(1,1),elem,1,smisc,10 *get,myj(1,1),elem,1,smisc,11 *get,mzj(1,1),elem,1,smisc,12 *vfill,elem_res_J(1,1),data,pxj(1,1) *vfill,elem_res_J(1,2),data,vyj(1,1) *vfill,elem_res_J(1,3),data,vzj(1,1) *vfill,elem_res_J(1,4),data,txj(1,1) *vfill,elem_res_J(1,5),data,myj(1,1) *vfill,elem_res_J(1,6),data,mzj(1,1)


2331


/com, Element #10 /com,************* *get,pxj(2,1),elem,10,smisc,7 *get,vyj(2,1),elem,10,smisc,8 *get,vzj(2,1),elem,10,smisc,9 *get,txj(2,1),elem,10,smisc,10 *get,myj(2,1),elem,10,smisc,11 *get,mzj(2,1),elem,10,smisc,12 *vfill,elem_res_J(2,1),data,pxj(2,1) *vfill,elem_res_J(2,2),data,vyj(2,1) *vfill,elem_res_J(2,3),data,vzj(2,1) *vfill,elem_res_J(2,4),data,txj(2,1) *vfill,elem_res_J(2,5),data,myj(2,1) *vfill,elem_res_J(2,6),data,mzj(2,1) /com, Element #4 /com,************ *get,pxj(3,1),elem,4,smisc,7 *get,vyj(3,1),elem,4,smisc,8 *get,vzj(3,1),elem,4,smisc,9 *get,txj(3,1),elem,4,smisc,10 *get,myj(3,1),elem,4,smisc,11 *get,mzj(3,1),elem,4,smisc,12 *vfill,elem_res_J(3,1),data,pxj(3,1) *vfill,elem_res_J(3,2),data,vyj(3,1) *vfill,elem_res_J(3,3),data,vzj(3,1) *vfill,elem_res_J(3,4),data,txj(3,1) *vfill,elem_res_J(3,5),data,myj(3,1) *vfill,elem_res_J(3,6),data,mzj(3,1) /com,---------------------------------------------------------------------------/com, Results from NRC benchmarks /com, *************************** *dim,exp_I,,3,6 *dim,exp_J,,3,6 /com, Element #1 /com,************ *vfill,exp_I(1,1),data,4.958e+00 *vfill,exp_I(1,2),data,1.788e+01 *vfill,exp_I(1,3),data,3.643e+01 *vfill,exp_I(1,4),data,6.296e+02 *vfill,exp_I(1,5),data,3.227e+03 *vfill,exp_I(1,6),data,1.394e+03 *vfill,exp_J(1,1),data,4.958e+00 *vfill,exp_J(1,2),data,1.788e+01 *vfill,exp_J(1,3),data,3.643e+01 *vfill,exp_J(1,4),data,6.296e+02 *vfill,exp_J(1,5),data,1.260e+03 *vfill,exp_J(1,6),data,4.742e+02 /com, Element #10 /com,************* *vfill,exp_I(2,1),data,2.402e+01 *vfill,exp_I(2,2),data,7.472e+00 *vfill,exp_I(2,3),data,3.478e+01 *vfill,exp_I(2,4),data,1.130e+02 *vfill,exp_I(2,5),data,1.871e+03 *vfill,exp_I(2,6),data,6.501e+02 *vfill,exp_J(2,1),data,2.402e+01 *vfill,exp_J(2,2),data,7.472e+00

2332


vm-nr1677-1-1a-a Input Listing *vfill,exp_J(2,3),data,3.478e+01 *vfill,exp_J(2,4),data,1.130e+02 *vfill,exp_J(2,5),data,2.477e+03 *vfill,exp_j(2,6),data,7.745e+02 /com, Element #4 /com,************* *vfill,exp_I(3,1),data,9.300e+00 *vfill,exp_I(3,2),data,1.063e+01 *vfill,exp_I(3,3),data,9.239e+00 *vfill,exp_I(3,4),data,1.421e+02 *vfill,exp_I(3,5),data,2.899e+02 *vfill,exp_I(3,6),data,8.284e+02 *vfill,exp_J(3,1),data,1.238e+01 *vfill,exp_J(3,2),data,1.063e+01 *vfill,exp_J(3,3),data,4.305e+00 *vfill,exp_J(3,4),data,4.237e+02 *vfill,exp_J(3,5),data,2.613e+02 *vfill,exp_J(3,6),data,5.419e+02 /com,--------------------------------------------------------------------------/com, Error computation /com, ********************* *dim,elem_error_I,,3,6 *dim,elem_error_J,,3,6 *dim,elem_tab,,36,3 /com,============ /com, Node I /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_I(i,j),data,abs(elem_res_I(i,j)/exp_I(i,j)) *enddo *enddo /com,============ /com, Node J /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_J(i,j),data,abs(elem_res_J(i,j)/exp_J(i,j)) *enddo *enddo /com,-------------------------------------------------------------------------*do,i,1,3 cs=(i-1)*6 *do,j,1,6 n=cs+j *vfill,elem_tab(n,1),data,elem_res_I(i,j) *vfill,elem_tab(n,2),data,exp_I(i,j) *vfill,elem_tab(n,3),data,elem_error_I(i,j) *enddo *do,j,1,6 m=cs+j+18 *vfill,elem_tab(m,1),data,elem_res_J(i,j) *vfill,elem_tab(m,2),data,exp_J(i,j) *vfill,elem_tab(m,3),data,elem_error_J(i,j) *enddo *enddo save,table_3


2333

NRC Piping Benchmarks Input Listings /com,------------------------------------------------------------------------/com, /com /com,-----------------vm-nr1677-1-1a-a Results Verification---------------------/com, /nopr resume,table_1 /gopr /out,vm-nr1677-1-1a-a,vrt /com, /com, ============================================= /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, ============================================= /com, /com, /com,

Mode | Expected | Mechanical APDL |

Ratio

*vwrite,label(1),freq_exp(1),freq_ans(1),freq_err(1) (1X,F3.0,2X,F8.4,3X,F8.4,3X,F4.2,' ') /com, /com,------------------------------------------------------------------------/com, /nopr resume,table_2 /gopr /com, /com,==================================================== /com, COMPARISON OF MAXIMUM NODAL DISPLACEMENTS AND ROTATIONS /com, WITH EXPECTED RESULTS /com,==================================================== /com, /com, /com,

Result_Node | Expected | Mechanical APDL |

Ratio

*vwrite,label2(1,1),value(1,1),value(1,2),value(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,2),value(2,1),value(2,2),value(2,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,3),value(3,1),value(3,2),value(3,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,4),value(4,1),value(4,2),value(4,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,5),value(5,1),value(5,2),value(5,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,6),value(6,1),value(6,2),value(6,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,------------------------------------------------------------------------/com, /nopr resume,table_3 /gopr /com, /com,=============================================== /com, COMPARISON OF ELEMENT FORCES AND MOMENTS /com, WITH EXPECTED RESULTS /com,=============================================== /com,

2334



/com,-----------------------------------------------/com, Note: Element Forces and Moments along Y & Z /com, directions are flipped between Mechanical APDL /com, and NRC results /com,-----------------------------------------------/com, /com,

Result | Expected | Mechanical APDL |

Ratio

/com,=============== /com, Element 1 /com,=============== /com, *vwrite,label3(1,1),elem_tab(1,1),elem_tab(1,2),elem_tab(1,3) (1x,a5,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(19,1),elem_tab(19,2),elem_tab(19,3) (1x,a5,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com, /com,=============== /com, Element 10 /com,=============== /com, *vwrite,label3(1,1),elem_tab(7,1),elem_tab(7,2),elem_tab(7,3) (1x,a5,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(25,1),elem_tab(25,2),elem_tab(25,3) (1x,a5,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com, /com,=============== /com, Element 4 /com,=============== /com, *vwrite,label3(1,1),elem_tab(13,1),elem_tab(13,2),elem_tab(13,3) (1x,a5,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(31,1),elem_tab(31,2),elem_tab(31,3) (1x,a5,' ',f10.4,' ',f10.4,' ',f5.3)

/com, /com, /com,******************************************************************* /com,******************************************************************* /com, /com, /out, *list,vm-nr1677-1-1a-a,vrt fini


2335


vm-nr1677-1-2a-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-1-2a-a /title,vm-nr1677-1-2a-a,NRC Piping Benchmark Problems,Volume 1,Problem 2 /com,**************************************************************************** /com, /com, Reference: Piping Benchmark Problems /com, NUREC/CR--1677-Vol.1 /com, P.Bezier, M.Hartzman, M.Reich /com, August 1980 /com, /com, Elements used: Pipe16, Mass21 element /com, /com, /com, Results comparsion: /com, The following results are compared against NRC piping benchmark values /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum nodal displacements and rotations obtained from spectrum solution. /com, 3. Element forces/moments obtained from spectrum solution. /com,**************************************************************************** /out,scratch /prep7 et,1,pipe16 et,2,mass21

! Element 1 - PIPE16 (Straight Pipe Element) ! Element 2 - MASS21 (Mass Element)

/com, Real Constants /com,**************** r,1,2.37500000,0.15400000,0.0,0.0,0.0 r,2,0.447000518e-01,0.447000518e-01,0.447000518e-01,0.0,0.0,0.0 r,3,0.447000518e-01,0.447000518e-01,0.447000518e-01,0.0,0.0,0.0 r,4,0.447000518e-01,0.447000518e-01,0.447000518e-01,0.0,0.0,0.0 r,5,0.447000518e-01,0.447000518e-01,0.447000518e-01,0.0,0.0,0.0 r,6,0.432699275e-01,0.432699275e-01,0.432699275e-01,0.0,0.0,0.0 r,7,0.893995859e-02,0.893995859e-02,0.893995859e-02,0.0,0.0,0.0 r,8,0.432699275e-01,0.432699275e-01,0.432699275e-01,0.0,0.0,0.0 r,9,0.893995859e-02,0.893995859e-02,0.893995859e-02,0.0,0.0,0.0 r,10,0.893995859e-02,0.893995859e-02,0.893995859e-02,0.0,0.0,0.0 r,11,0.432699275e-01,0.432699275e-01,0.432699275e-01,0.0,0.0,0.0 r,12,0.893995859e-02,0.893995859e-02,0.893995859e-02,0.0,0.0,0.0 r,13,0.432699275e-01,0.432699275e-01,0.432699275e-01,0.0,0.0,0.0 r,14,0.893995859e-02,0.893995859e-02,0.893995859e-02,0.0,0.0,0.0 r,15,0.893995859e-02,0.893995859e-02,0.893995859e-02,0.0,0.0,0.0 /com, Nodes /com,******* n,1,0.0,-30.00 ! Node Numbers, Global Co-ordinates n,2,27.25,-30.00 n,3,27.25,-30.00,17.250 n,4,0.0,-30.00,17.250 n,5,0.0,18.625,17.250 n,6,0.0,18.625,8.625 n,7,0.0,18.625 n,8,8.625,18.625, n,9,18.625,18.625 n,10,27.25,18.625 n,11,27.25,18.625,8.625 n,12,27.25,18.625,17.250 n,13,18.625,18.625,17.250 n,14,8.625,18.625,17.250 n,15,0.0,-80.00 n,16,27.25,-80.00 n,17,27.25,-80.00,17.250 n,18,0.0,-80.00,17.25

2336



/com, Straight Pipe (Tangent Elements) /com,********************************** mat,1 type,1 real,1 en,1,15,1 en,2,1,7 en,3,7,6 en,4,6,5 en,5,5,4 en,6,4,18 en,7,16,2 en,8,2,10 en,9,10,11 en,10,11,12 en,11,12,3 en,12,3,17 en,13,12,13 en,14,13,14 en,15,14,5 en,16,7,8 en,17,8,9 en,18,9,10 /com, Mass Elements /com,*************** mat,1 type,2 real,2 en,19,1 real,3 en,20,2 real,4 en,21,3 real,5 en,22,4 real,6 en,23,5 real,7 en,24,6 real,8 en,25,7 real,9 en,26,8 real,10 en,27,9 real,11 en,28,10 real,12 en,29,11 real,13 en,30,12 real,14 en,31,13


2337

NRC Piping Benchmarks Input Listings real,15 en,32,14 nsel,s,node,,15 nsel,a,node,,16 nsel,a,node,,17 nsel,a,node,,18 cm,fixedsu,node allsel,all mp,ex,1,27899996.8 mp,nuxy,1,0.3 mp,dens,1,2.587991718e-10 /com, Constraints /com,************* d,15,all,0 d,16,all,0 d,17,all,0 d,18,all,0 save allsel,all finish /com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal modopt,lanb,5 mxpand,,,,yes solve save finish

! Use LANB solver

/com,---------------------------------------------------------------------------/com, ============================================= /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, ============================================= *dim,label,,5 *dim,freq_ans,,5 *dim,freq_exp,,5 *dim,freq_err,,5 *do,i,1,5 label(i)=i *enddo *do,i,1,5 *get,freq_ans(i),mode,i,freq *enddo *vfill,freq_exp,data,0.8712e+01,0.8806e+01,0.1751e+02,0.4037e+02,0.4163e+02 *do,i,1,5 freq_err(i)=abs(freq_ans(i)/freq_exp(i)) *enddo *status,freq_err save,table_1 finish ! Finish Solution routine /com,---------------------------------------------------------------------------/com,

2338


vm-nr1677-1-2a-a Input Listing /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr ! Perform Spectrum analysis spopt,sprs ! Single Point Excitation Response Spectrum dmprat,0.02 ! Constant Damping Ratio grp,0.001 ! Group Modes based on Significance Level svtyp,2 ! Seismic Acceleration Response Loading sed,1 freq freq,3.1,4,5,5.8,7.1,8.8,11,14.1,17.2 freq,35,40,588 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,380,348.6,145 solve sed,,1 freq freq,3.1,4,5,5.8,7.1,8.8,11,14.1,17.2 freq,35,40,588 sv,0.02,266.7,580.7,580.7,466.7,792,792,293.3333,516.7,516.7 sv,0.02,253.3,232.4,96.7 solve sed,,,1 freq freq,3.1,4,5,5.8,7.1,8.8,11,14.1,17.2 freq,35,40,588 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,380,348.6,145 solve fini /com,---------------------------------------------------------------------------/post1 /input,,mcom

! compute SSRS

/com, Labels /com,******** *dim,label2,char,1,6 *dim,label3,char,6,1 *dim,label4,char,6,1 /com,------------------------label2(1,1) label2(1,2) label2(1,3) label2(1,4) label2(1,5) label2(1,6)

= = = = = =


/com,------------------------label3(1,1)='PX(I)' label3(2,1)='VY(I)' label3(3,1)='VZ(I)' label3(4,1)='TX(I)' label3(5,1)='MY(I)' label3(6,1)='MZ(I)' /com,------------------------label4(1,1)='PX(J)' label4(2,1)='VY(J)' label4(3,1)='VZ(J)'


2339

NRC Piping Benchmarks Input Listings label4(4,1)='TX(J)' label4(5,1)='MY(J)' label4(6,1)='MZ(J)' /com,----------------------------------------------------------------------------

/com, *======================================================== /com, * Maximum nodal displacements and rotations comparsion /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,6,U,X *GET,AdisY,NODE,8,U,Y *GET,AdisZ,NODE,8,U,Z *GET,ArotX,NODE,1,ROT,X *GET,ArotY,NODE,9,ROT,Y *GET,ArotZ,NODE,1,ROT,Z /com, Expected results from NRC manual /com, ********************************* *SET,EdisX,4.61886e-01 *SET,EdisY,2.35426e-03 *SET,EdisZ,4.46591e-01 *SET,ErotX,6.53919e-03 *SET,ErotY,1.27731e-05 *SET,ErotZ,6.72098e-03 /com, Error computation /com, ********************* ERdisX=ABS((AdisX)/(EdisX)) ERdisY=ABS((AdisY)/(EdisY)) ERdisZ=ABS((AdisZ)/(EdisZ)) ERrotX=ABS((ArotX)/(ErotX)) ERrotY=ABS((ArotY)/(ErotY)) ERrotZ=ABS((ArotZ)/(ErotZ)) *dim,value,,6,3 *vfill,value(1,1),data,EdisX *vfill,value(1,2),data,AdisX *vfill,value(1,3),data,ERdisX *vfill,value(2,1),data,EdisY *vfill,value(2,2),data,AdisY *vfill,value(2,3),data,ERdisY *vfill,value(3,1),data,EdisZ *vfill,value(3,2),data,AdisZ *vfill,value(3,3),data,ERdisZ *vfill,value(4,1),data,ErotX *vfill,value(4,2),data,ArotX *vfill,value(4,3),data,ERrotX *vfill,value(5,1),data,ErotY *vfill,value(5,2),data,ArotY *vfill,value(5,3),data,ERrotY *vfill,value(6,1),data,ErotZ *vfill,value(6,2),data,ArotZ *vfill,value(6,3),data,ERrotZ save,table_2 /com,---------------------------------------------------------------------------/com, *========================================================

2340


vm-nr1677-1-2a-a Input Listing /com, * Element Forces and Moments Comparison /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *dim,elem_res_I,,2,6 *dim,elem_res_J,,2,6 *dim,pxi,,2 *dim,vyi,,2 *dim,vzi,,2 *dim,txi,,2 *dim,myi,,2 *dim,mzi,,2 *dim,pxj,,2 *dim,vyj,,2 *dim,vzj,,2 *dim,txj,,2 *dim,myj,,2 *dim,mzj,,2 esel,s,ename,,16 /com,========== /com, Node I /com,========== /com, Element #1 /com,*********** *get,pxi(1,1),elem,1,smisc,1 *get,vyi(1,1),elem,1,smisc,2 *get,vzi(1,1),elem,1,smisc,3 *get,txi(1,1),elem,1,smisc,4 *get,myi(1,1),elem,1,smisc,5 *get,mzi(1,1),elem,1,smisc,6 *vfill,elem_res_I(1,1),data,pxi(1,1) *vfill,elem_res_I(1,2),data,vyi(1,1) *vfill,elem_res_I(1,3),data,vzi(1,1) *vfill,elem_res_I(1,4),data,txi(1,1) *vfill,elem_res_I(1,5),data,myi(1,1) *vfill,elem_res_I(1,6),data,mzi(1,1) /com, Element #18 /com,************* *get,pxi(2,1),elem,18,smisc,1 *get,vyi(2,1),elem,18,smisc,2 *get,vzi(2,1),elem,18,smisc,3 *get,txi(2,1),elem,18,smisc,4 *get,myi(2,1),elem,18,smisc,5 *get,mzi(2,1),elem,18,smisc,6 *vfill,elem_res_I(2,1),data,pxi(2,1) *vfill,elem_res_I(2,2),data,vyi(2,1) *vfill,elem_res_I(2,3),data,vzi(2,1) *vfill,elem_res_I(2,4),data,txi(2,1) *vfill,elem_res_I(2,5),data,myi(2,1) *vfill,elem_res_I(2,6),data,mzi(2,1)

/com,========== /com, Node J /com,========== /com, Element #1 /com,************ *get,pxj(1,1),elem,1,smisc,7


2341

NRC Piping Benchmarks Input Listings *get,vyj(1,1),elem,1,smisc,8 *get,vzj(1,1),elem,1,smisc,9 *get,txj(1,1),elem,1,smisc,10 *get,myj(1,1),elem,1,smisc,11 *get,mzj(1,1),elem,1,smisc,12 *vfill,elem_res_J(1,1),data,pxj(1,1) *vfill,elem_res_J(1,2),data,vyj(1,1) *vfill,elem_res_J(1,3),data,vzj(1,1) *vfill,elem_res_J(1,4),data,txj(1,1) *vfill,elem_res_J(1,5),data,myj(1,1) *vfill,elem_res_J(1,6),data,mzj(1,1) /com, Element #18 /com,************* *get,pxj(2,1),elem,18,smisc,7 *get,vyj(2,1),elem,18,smisc,8 *get,vzj(2,1),elem,18,smisc,9 *get,txj(2,1),elem,18,smisc,10 *get,myj(2,1),elem,18,smisc,11 *get,mzj(2,1),elem,18,smisc,12 *vfill,elem_res_J(2,1),data,pxj(2,1) *vfill,elem_res_J(2,2),data,vyj(2,1) *vfill,elem_res_J(2,3),data,vzj(2,1) *vfill,elem_res_J(2,4),data,txj(2,1) *vfill,elem_res_J(2,5),data,myj(2,1) *vfill,elem_res_J(2,6),data,mzj(2,1) /com,---------------------------------------------------------------------------/com, Results from NRC benchmarks /com, *************************** *dim,exp_I,,2,6 *dim,exp_J,,2,6 /com, Element #1 /com,************ *vfill,exp_I(1,1),data,5.554e+02 *vfill,exp_I(1,2),data,1.082e+02 *vfill,exp_I(1,3),data,1.093e+02 *vfill,exp_I(1,4),data,1.610e+00 *vfill,exp_I(1,5),data,5.135e+03 *vfill,exp_I(1,6),data,5.229e+03 *vfill,exp_J(1,1),data,5.554e+02 *vfill,exp_J(1,2),data,1.088e+02 *vfill,exp_J(1,3),data,1.093e+02 *vfill,exp_J(1,4),data,1.610e+00 *vfill,exp_J(1,5),data,2.769e+02 *vfill,exp_J(1,6),data,2.351e+02 /com, Element #18 /com,************* *vfill,exp_I(2,1),data,1.400e+01 *vfill,exp_I(2,2),data,2.972e+02 *vfill,exp_I(2,3),data,1.228e+01 *vfill,exp_I(2,4),data,1.408e-02 *vfill,exp_I(2,5),data,4.771e+01 *vfill,exp_I(2,6),data,1.480e+03 *vfill,exp_J(2,1),data,1.400e+01 *vfill,exp_J(2,2),data,2.972e+02 *vfill,exp_J(2,3),data,1.228e+01 *vfill,exp_J(2,4),data,1.408e-02 *vfill,exp_J(2,5),data,6.043e+01 *vfill,exp_J(2,6),data,4.049e+03

2342


vm-nr1677-1-2a-a Input Listing /com,--------------------------------------------------------------------------/com, Error computation /com, ********************* *dim,elem_error_I,,2,6 *dim,elem_error_J,,2,6 *dim,elem_tab,,24,3 /com,============ /com, Node I /com,============ *do,i,1,2 *do,j,1,6 *vfill,elem_error_I(i,j),data,abs(elem_res_I(i,j)/exp_I(i,j)) *enddo *enddo /com,============ /com, Node J /com,============ *do,i,1,2 *do,j,1,6 *vfill,elem_error_J(i,j),data,abs(elem_res_J(i,j)/exp_J(i,j)) *enddo *enddo /com,-------------------------------------------------------------------------*do,i,1,2 cs=(i-1)*6 *do,j,1,6 n=cs+j *vfill,elem_tab(n,1),data,exp_I(i,j) *vfill,elem_tab(n,2),data,elem_res_I(i,j) *vfill,elem_tab(n,3),data,elem_error_I(i,j) *enddo *do,j,1,6 m=cs+j+12 *vfill,elem_tab(m,1),data,exp_J(i,j) *vfill,elem_tab(m,2),data,elem_res_J(i,j) *vfill,elem_tab(m,3),data,elem_error_J(i,j) *enddo *enddo save,table_3 /com,------------------------------------------------------------------------/com, /com /com,--------------------------Results Verification--------------------------/com, /nopr resume,table_1 /gopr /out,vm-nr1677-1-2a-a,vrt /com, /com, ============================================= /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, ============================================= /com, /com, /com,


Ratio


2343


*vwrite,label(1),freq_exp(1),freq_ans(1),freq_err(1) (1X,F3.0,2X,F8.4,3X,F8.4,3X,F4.2,' ') /com, /com,------------------------------------------------------------------------/com, /nopr resume,table_2 /gopr /com, /com,=========================================================== /com, COMPARISON OF MAXIMUM NODAL DISPLACEMENTS AND ROTATIONS /com, WITH EXPECTED RESULTS /com,=========================================================== /com, /com, /com,


Ratio

*vwrite,label2(1,1),value(1,1),value(1,2),value(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,2),value(2,1),value(2,2),value(2,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,3),value(3,1),value(3,2),value(3,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,4),value(4,1),value(4,2),value(4,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,5),value(5,1),value(5,2),value(5,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,6),value(6,1),value(6,2),value(6,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,------------------------------------------------------------------------/com, /nopr resume,table_3 /gopr /com, /com,=============================================== /com, COMPARISON OF ELEMENT FORCES AND MOMENTS /com, WITH EXPECTED RESULTS /com,=============================================== /com, /com,-----------------------------------------------/com, Note: Element Forces and Moments along Y & Z /com, directions are flipped between Mechanical APDL /com, and NRC results /com,-----------------------------------------------/com, /com,


Ratio

/com,=============== /com, Element 1 /com,=============== /com, *vwrite,label3(1,1),elem_tab(1,1),elem_tab(1,2),elem_tab(1,3) (1x,a5,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(13,1),elem_tab(13,2),elem_tab(13,3)

2344


vm-nr1677-1-3a-a Input Listing (1x,a5,'

',f10.4,'

',f10.4,'

',f5.3)

/com, /com, /com,=============== /com, Element 18 /com,=============== /com, *vwrite,label3(1,1),elem_tab(7,1),elem_tab(7,2),elem_tab(7,3) (1x,a5,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(19,1),elem_tab(19,2),elem_tab(19,3) (1x,a5,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com, /com,******************************************************************* /com,******************************************************************* /com, /com, /out, *list,vm-nr1677-1-2a-a,vrt fini

vm-nr1677-1-3a-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-1-3a-a /title,vm-nr1677-1-3a-a,NRC Piping Benchmark Problems,Volume 1,Problem 3 /com,**************************************************************************** /com, /com, Reference: Piping Benchmark Problems /com, NUREC/CR--1677-Vol.1 /com, P.Bezier, M.Hartzman, M.Reich /com, August 1980 /com, /com, Elements used: Pipe16, Pipe18, Combin14, Mass21 /com, /com, Results comparsion: /com, The following results are compared against NRC piping benchmark values /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum nodal displacements and rotations obtained from spectrum solution. /com, 3. Element forces/moments obtained from spectrum solution. /com,**************************************************************************** /out,scratch /prep7 et,1,pipe16

! Element 1 - PIPE16

et,2,pipe18 keyopt,2,3,1

! Element 2 - PIPE18 ! Use ANSYS Flexibility with Pressure term

et,3,combin14 keyopt,3,2,1

! Element 3 - COMBIN14 ! UX Degree of Freedom


! Element 4 - COMBIN14 ! UY Degree of Freedom


! Element 5 - COMBIN14 ! UZ Degree of Freedom


2345


et,6,mass21 keyopt,6,3,2

! Element 6 - MASS21 ! 3D Mass with Rotary Inertia

/com, Material Properties /com,********************* mp,ex,1,24e6 mp,prxy,1,.3 mp,dens,1,0.001057 mp,ex,2,24e6 mp,prxy,2,.3 mp,dens,2,0.001057 /com, Real Constants /com,**************** r,1,7.288,0.241 ! Real Constant Set 1 r,2,7.288,0.241,36.30 ! Real Constant Set 2 r,3,0.1e+5 ! Real Constant Set 3 r,4,0.1e+9 ! Real Constant Set 4 r,5,0.1e+11 ! Real Constant Set 5 r,6,1.518 ! Real Constant Set 6 /com, Nodes /com,******* n,1,0,0,0 n,2,0,54.45,0 n,3,0,108.9,0 n,4,10.632,134.568,0 n,5,36.3,145.2,0 n,6,54.15,145.2,0 n,7,72.0,145.2,0 n,8,97.668,145.2,10.632 n,9,108.3,145.2,36.3 n,10,108.3,145.2,56.8 n,11,108.3,145.2,77.3 n,12,108.3,145.2,97.8 n,13,108.3,145.2,118.3 n,14,108.3,145.2,188.8 n,15,108.3,181.5,225.1 n,16,108.3,236,225.1 n,17,108.3,290,225.1 n,18,148.3,145.2,97.8 n,19,188.3,145.2,97.8 n,20,224.6,145.2,61.5 n,21,224.6,145.2,20 /com, Elastic support Nodes /com,*********************** n,22,1,0,0 n,23,0,1,0 n,24,0,0,1 n,25,72,145.2,-1 n,26,109.3,145.2,36.3 n,27,108.3,146.2,77.3 n,28,108.3,146.2,118.3 n,29,107.3,182.5,226.5 n,30,109.3,290,225.1 n,31,108.3,291,225.1 n,32,108.3,290,226.1 n,33,225.6,145.2,20 n,34,224.6,146.2,20 n,35,224.6,145.2,21 /com, Straight Pipe (Tangent Elements) /com,********************************** type,1

2346

! Element Type 1


vm-nr1677-1-3a-a Input Listing real,1 mat,1

! Real Constant Set 1 ! Material ID 1

en,1, 1, 2 en,2, 2, 3 en,5, 5, 6 en,6, 6, 7 en,9, 9,10 en,10,10,11 en,11,11,12 en,12,12,13 en,13,13,14 en,15,15,16 en,16,16,17 en,17,12,18 en,18,18,19 en,20,20,21 /com, Curved pipe elements /com,********************** type,2 real,2 mat,1

! Element Type 2 ! Real Constant Set 2 ! Material ID 1

en,3,3,4,2 en,4,4,5,6 en,7,7,8,6 en,8,8,9,10 en,14,14,15,16 en,19,19,20,18 /com, Elastic supports and anchors /com,****************************** /com, **rotate nodes with less than 3 supports** wplane,,nx(15),ny(15),nz(15),nx(29),ny(29),nz(29),nx(16),ny(16),nz(16) cswplane,11,0 nrotat,15 nrotat,29 csys,0 real,3 type,4 en,21,11,27 en,22,13,28 real,4 type,3 en,23,9,26 en,24,15,29 type,5 en,25,7,25 real,5 type,3 en,26,1,22 en,27,17,30 en,28,21,33 type,4 en,29,1,23 en,30,17,31 en,31,21,34 type,5 en,32,1,24 en,33,17,32 en,34,21,35 /com, Mass Elements


2347

NRC Piping Benchmarks Input Listings /com,*************** type,6 real,6 en,35,18 /com, Constraints /com,************* nsel,,node,,22,35 d,all,all alls d,1,rotx,,,,,roty,rotz d,21,rotx,,,,,roty,rotz /com, Loading /com,********* /com, **Internal Pressure on PIPE elements** esel,s,ename,,18 esel,a,ename,,16 sfe,all,1,pres,,350 allsel,all save finish /com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal ! Perform Modal Analysis modopt,lanb,10 mxpand,,,,yes ! Expand solution with Element Calculations ON lumpm,on ! Use Lumped Mass Approximation solve save fini

/com, /com,=========================== /com, Compare Modal Frequencies /com,=========================== /com, *dim,label,,10 *dim,freq_ans,,10 *dim,freq_exp,,10 *dim,freq_err,,10 *do,i,1,10 label(i)=i *enddo *do,i,1,10 *get,freq_ans(i),mode,i,freq *enddo *vfill,freq_exp,data,9.360,12.710,15.380,17.80,21.60,25.10,32.03,38.07,40.29,48.90 *status,freq_ans *status,freq_exp *do,i,1,10 freq_err(i)=abs(freq_ans(i)/freq_exp(i)) *enddo *status,freq_err save,table_1 finish

2348



/com, /com,================ /com, Spectrum Solve /com,================ /com, /com, **Spectrum in X, Y, and Z directions** /com, **Spectra values in Y direction are 67% of the values for the X and Z directions** /solution antype,spectr ! Perform Spectrum Analysis spopt,sprs ! Single Point Excitation Response Spectrum dmprat,0.02 ! Constant Damping Ratio grp,0.001 ! Group Modes based on Significance Level svtyp,2 ! Seismic Acceleration Response Loading sed,1 ! Excitation in X direction freq freq,3.1,4,5,5.81,7.09,8.77,9,10,10.99 freq,14.08,17.24,20,25,30,34.97,40,45,50 freq,588.93 sv,0.02,400,871,871,700,1188,1188,1090,733,440 sv,0.02,775,775,668,533,444,380,349,324,306 sv,0.02,145 solve sed,,1 ! Excitation in Y direction freq freq,3.1,4,5,5.81,7.09,8.77,9,10,10.99 freq,14.08,17.24,20,25,30,34.97,40,45,50 freq,588.93 sv,0.02,267,581,581,467,792,792,727,489,293 sv,0.02,517,517,445,355,296,253,232,216,204 sv,0.02,97 solve sed,,,1 ! Excitation in Z direction freq freq,3.1,4,5,5.81,7.09,8.77,9,10,10.99 freq,14.08,17.24,20,25,30,34.97,40,45,50 freq,588.93 sv,0.02,400,871,871,700,1188,1188,1090,733,440 sv,0.02,775,775,668,533,444,380,349,324,306 sv,0.02,145 solve fini /post1 /input,,mcom /com, *Labels* *dim,label2,char,1,6 *dim,label3,char,6,1 *dim,label4,char,6,1 /com,------------------------label2(1,1) label2(1,2) label2(1,3) label2(1,4) label2(1,5) label2(1,6)

= = = = = =


/com,----------------------label3(1,1)='PX(I)' label3(2,1)='VY(I)' label3(3,1)='VZ(I)' label3(4,1)='TX(I)' label3(5,1)='MY(I)'


2349

NRC Piping Benchmarks Input Listings label3(6,1)='MZ(I)' /com,----------------------label4(1,1)='PX(J)' label4(2,1)='VY(J)' label4(3,1)='VZ(J)' label4(4,1)='TX(J)' label4(5,1)='MY(J)' label4(6,1)='MZ(J)' /com,----------------------------------/com, *======================================================== /com, * Maximum nodal displacements and rotations comparsion /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,14,U,X *GET,AdisY,NODE,8,U,Y *GET,AdisZ,NODE,9,U,Z *GET,ArotX,NODE,3,ROT,X *GET,ArotY,NODE,7,ROT,Y *GET,ArotZ,NODE,17,ROT,Z /com, Expected results from NRC manual /com, ********************************* *SET,EdisX,2.29130e-01 *SET,EdisY,9.80058e-02 *SET,EdisZ,1.66289e-01 *SET,ErotX,2.71028e-03 *SET,ErotY,4.99380e-03 *SET,ErotZ,2.39003e-03 /com, Error computation /com, ********************* ERdisX=ABS((AdisX)/(EdisX)) ERdisY=ABS((AdisY)/(EdisY)) ERdisZ=ABS((AdisZ)/(EdisZ)) ERrotX=ABS((ArotX)/(ErotX)) ERrotY=ABS((ArotY)/(ErotY)) ERrotZ=ABS((ArotZ)/(ErotZ)) *dim,value,,6,3 *vfill,value(1,1),data,EdisX *vfill,value(1,2),data,AdisX *vfill,value(1,3),data,ERdisX *vfill,value(2,1),data,EdisY *vfill,value(2,2),data,AdisY *vfill,value(2,3),data,ERdisY *vfill,value(3,1),data,EdisZ *vfill,value(3,2),data,AdisZ *vfill,value(3,3),data,ERdisZ *vfill,value(4,1),data,ErotX *vfill,value(4,2),data,ArotX *vfill,value(4,3),data,ERrotX *vfill,value(5,1),data,ErotY *vfill,value(5,2),data,ArotY *vfill,value(5,3),data,ERrotY *vfill,value(6,1),data,ErotZ *vfill,value(6,2),data,ArotZ *vfill,value(6,3),data,ERrotZ

2350



save,table_2 /com,----------------------------------------------------------/com, *======================================================== /com, * Element Forces and Moments Comparison /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *dim,elem_res_I,,3,6 *dim,elem_res_J,,3,6 *dim,pxi,,3 *dim,vyi,,3 *dim,vzi,,3 *dim,txi,,3 *dim,myi,,3 *dim,mzi,,3 *dim,pxj,,3 *dim,vyj,,3 *dim,vzj,,3 *dim,txj,,3 *dim,myj,,3 *dim,mzj,,3 esel,s,ename,,16 esel,a,ename,,18 /com,========== /com, Node I /com,========== /com, Element #1 /com,*********** *get,pxi(1,1),elem,1,smisc,1 *get,vyi(1,1),elem,1,smisc,2 *get,vzi(1,1),elem,1,smisc,3 *get,txi(1,1),elem,1,smisc,4 *get,myi(1,1),elem,1,smisc,5 *get,mzi(1,1),elem,1,smisc,6 *vfill,elem_res_I(1,1),data,pxi(1,1) *vfill,elem_res_I(1,2),data,vyi(1,1) *vfill,elem_res_I(1,3),data,vzi(1,1) *vfill,elem_res_I(1,4),data,txi(1,1) *vfill,elem_res_I(1,5),data,myi(1,1) *vfill,elem_res_I(1,6),data,mzi(1,1) /com, Element #20 /com,************* *get,pxi(2,1),elem,20,smisc,1 *get,vyi(2,1),elem,20,smisc,2 *get,vzi(2,1),elem,20,smisc,3 *get,txi(2,1),elem,20,smisc,4 *get,myi(2,1),elem,20,smisc,5 *get,mzi(2,1),elem,20,smisc,6 *vfill,elem_res_I(2,1),data,pxi(2,1) *vfill,elem_res_I(2,2),data,vyi(2,1) *vfill,elem_res_I(2,3),data,vzi(2,1) *vfill,elem_res_I(2,4),data,txi(2,1) *vfill,elem_res_I(2,5),data,myi(2,1) *vfill,elem_res_I(2,6),data,mzi(2,1) /com, Element #7 /com,***********


2351


*get,pxi(3,1),elem,7,smisc,1 *get,vyi(3,1),elem,7,smisc,2 *get,vzi(3,1),elem,7,smisc,3 *get,txi(3,1),elem,7,smisc,4 *get,myi(3,1),elem,7,smisc,5 *get,mzi(3,1),elem,7,smisc,6 *vfill,elem_res_I(3,1),data,pxi(3,1) *vfill,elem_res_I(3,2),data,vyi(3,1) *vfill,elem_res_I(3,3),data,vzi(3,1) *vfill,elem_res_I(3,4),data,txi(3,1) *vfill,elem_res_I(3,5),data,myi(3,1) *vfill,elem_res_I(3,6),data,mzi(3,1)

/com,========== /com, Node J /com,========== /com, Element #1 /com,************ *get,pxj(1,1),elem,1,smisc,7 *get,vyj(1,1),elem,1,smisc,8 *get,vzj(1,1),elem,1,smisc,9 *get,txj(1,1),elem,1,smisc,10 *get,myj(1,1),elem,1,smisc,11 *get,mzj(1,1),elem,1,smisc,12 *vfill,elem_res_J(1,1),data,pxj(1,1) *vfill,elem_res_J(1,2),data,vyj(1,1) *vfill,elem_res_J(1,3),data,vzj(1,1) *vfill,elem_res_J(1,4),data,txj(1,1) *vfill,elem_res_J(1,5),data,myj(1,1) *vfill,elem_res_J(1,6),data,mzj(1,1) /com, Element #20 /com,************* *get,pxj(2,1),elem,20,smisc,7 *get,vyj(2,1),elem,20,smisc,8 *get,vzj(2,1),elem,20,smisc,9 *get,txj(2,1),elem,20,smisc,10 *get,myj(2,1),elem,20,smisc,11 *get,mzj(2,1),elem,20,smisc,12 *vfill,elem_res_J(2,1),data,pxj(2,1) *vfill,elem_res_J(2,2),data,vyj(2,1) *vfill,elem_res_J(2,3),data,vzj(2,1) *vfill,elem_res_J(2,4),data,txj(2,1) *vfill,elem_res_J(2,5),data,myj(2,1) *vfill,elem_res_J(2,6),data,mzj(2,1) /com, Element #7 /com,************ *get,pxj(3,1),elem,7,smisc,7 *get,vyj(3,1),elem,7,smisc,8 *get,vzj(3,1),elem,7,smisc,9 *get,txj(3,1),elem,7,smisc,10 *get,myj(3,1),elem,7,smisc,11 *get,mzj(3,1),elem,7,smisc,12 *vfill,elem_res_J(3,1),data,pxj(3,1) *vfill,elem_res_J(3,2),data,vyj(3,1) *vfill,elem_res_J(3,3),data,vzj(3,1) *vfill,elem_res_J(3,4),data,txj(3,1) *vfill,elem_res_J(3,5),data,myj(3,1) *vfill,elem_res_J(3,6),data,mzj(3,1) /com,----------------------------------------------------------------------------

2352



/com, Results from NRC benchmarks /com, *************************** *dim,exp_I,,3,6 *dim,exp_J,,3,6 /com, Element #1 /com,************ *vfill,exp_I(1,1),data,1.544e+02 *vfill,exp_I(1,2),data,2.092e+02 *vfill,exp_I(1,3),data,4.633e+02 *vfill,exp_I(1,4),data,1.309e+04 *vfill,exp_I(1,5),data,4.313e+04 *vfill,exp_I(1,6),data,1.806e+04 *vfill,exp_J(1,1),data,1.544e+02 *vfill,exp_J(1,2),data,2.092e+02 *vfill,exp_J(1,3),data,4.633e+02 *vfill,exp_J(1,4),data,1.309e+04 *vfill,exp_J(1,5),data,1.876e+04 *vfill,exp_J(1,6),data,8.095e+03 /com, Element #20 /com,************* *vfill,exp_I(2,1),data,6.333e+02 *vfill,exp_I(2,2),data,4.712e+02 *vfill,exp_I(2,3),data,1.012e+03 *vfill,exp_I(2,4),data,5.724e+03 *vfill,exp_I(2,5),data,9.985e+03 *vfill,exp_I(2,6),data,8.126e+03 *vfill,exp_J(2,1),data,6.333e+02 *vfill,exp_J(2,2),data,4.712e+02 *vfill,exp_J(2,3),data,1.012e+03 *vfill,exp_J(2,4),data,5.724e+03 *vfill,exp_J(2,5),data,4.468e+04 *vfill,exp_j(2,6),data,2.757e+04 /com, Element #7 /com,************* *vfill,exp_I(3,1),data,2.706e+02 *vfill,exp_I(3,2),data,3.915e+01 *vfill,exp_I(3,3),data,1.813e+03 *vfill,exp_I(3,4),data,5.823e+03 *vfill,exp_I(3,5),data,2.004e+04 *vfill,exp_I(3,6),data,5.439e+03 *vfill,exp_J(3,1),data,1.200e+03 *vfill,exp_J(3,2),data,3.915e+01 *vfill,exp_J(3,3),data,1.386e+03 *vfill,exp_J(3,4),data,7.810e+03 *vfill,exp_J(3,5),data,3.174e+04 *vfill,exp_J(3,6),data,2.256e+03 /com,--------------------------------------------------------------------------/com, Error computation /com, ********************* *dim,elem_error_I,,3,6 *dim,elem_error_J,,3,6 *dim,elem_tab,,36,3 /com,============ /com, Node I /com,============ *do,i,1,3


2353

NRC Piping Benchmarks Input Listings *do,j,1,6 *vfill,elem_error_I(i,j),data,abs(elem_res_I(i,j)/exp_I(i,j)) *enddo *enddo /com,============ /com, Node J /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_J(i,j),data,abs(elem_res_J(i,j)/exp_J(i,j)) *enddo *enddo /com,-------------------------------------------------------------------------*do,i,1,3 cs=(i-1)*6 *do,j,1,6 n=cs+j *vfill,elem_tab(n,1),data,exp_I(i,j) *vfill,elem_tab(n,2),data,elem_res_I(i,j) *vfill,elem_tab(n,3),data,elem_error_I(i,j) *enddo *do,j,1,6 m=cs+j+18 *vfill,elem_tab(m,1),data,exp_J(i,j) *vfill,elem_tab(m,2),data,elem_res_J(i,j) *vfill,elem_tab(m,3),data,elem_error_J(i,j) *enddo *enddo save,table_3 /com,------------------------------------------------------------------------/com, /out, /com /com,---------------vm-nr1677-1-3a-a Results Verification--------------------------/com, /nopr resume,table_1 /gopr /out,vm-nr1677-1-3a-a,vrt /com, /com, ============================================= /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, ============================================= /com, /com, Mode | Expected | Mechanical APDL | /com,

Ratio

*vwrite,label(1),freq_exp(1),freq_ans(1),freq_err(1) (1X,F3.0,2X,F8.4,3X,F8.4,3X,F4.2,' ') /com, /com,------------------------------------------------------------------------/com, /nopr resume,table_2 /gopr

2354



/com, /com,==================================================== /com, COMPARISON OF MAXIMUM NODAL DISPLACEMENTS AND ROTATIONS /com, WITH EXPECTED RESULTS /com,==================================================== /com, /com, /com,


Ratio

*vwrite,label2(1,1),value(1,1),value(1,2),value(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,2),value(2,1),value(2,2),value(2,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,3),value(3,1),value(3,2),value(3,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,4),value(4,1),value(4,2),value(4,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,5),value(5,1),value(5,2),value(5,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,6),value(6,1),value(6,2),value(6,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,------------------------------------------------------------------------/com, /nopr resume,table_3 /gopr /com, /com,=============================================== /com, COMPARISON OF ELEMENT FORCES AND MOMENTS /com, WITH EXPECTED RESULTS /com,=============================================== /com, /com,-----------------------------------------------/com, Note: Element Forces and Moments along Y & Z /com, directions are flipped between Mechanical APDL /com, and NRC results /com,-----------------------------------------------/com, /com,


Ratio

/com,=============== /com, Element 1 /com,=============== /com, *vwrite,label3(1,1),elem_tab(1,1),elem_tab(1,2),elem_tab(1,3) (1x,a5,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(19,1),elem_tab(19,2),elem_tab(19,3) (1x,a5,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com, /com,=============== /com, Element 20 /com,=============== /com, *vwrite,label3(1,1),elem_tab(7,1),elem_tab(7,2),elem_tab(7,3) (1x,a5,' ',f10.4,' ',f10.4,' ',f5.3)


2355


/com, *vwrite,label4(1,1),elem_tab(25,1),elem_tab(25,2),elem_tab(25,3) (1x,a5,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com, /com,=============== /com, Element 7 /com,=============== /com, *vwrite,label3(1,1),elem_tab(13,1),elem_tab(13,2),elem_tab(13,3) (1x,a5,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(31,1),elem_tab(31,2),elem_tab(31,3) (1x,a5,' ',f10.4,' ',f10.4,' ',f5.3)

/com, /com, /com,******************************************************************* /com,******************************************************************* /com, /com, /out, *list,vm-nr1677-1-3a-a,vrt finish

vm-nr1677-1-4a-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-1-4a-a /title,vm-nr1677-1-4a-a,NRC Piping Benchmark Problems,Volume 1,Problem 4

/com,**************************************************************************** /com, /com, Reference: Piping Benchmark Problems /com, NUREG/CR--1677-Vol.1 /com, P.Bezier, M.Hartzman, M.Reich /com, August 1980 /com, /com, /com, Elements used: Pipe16, Combin14, Pipe18, Mass21 /com, /com, Results comparsion: /com, The following results are compared against NRC piping benchmark values /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum nodal displacements and rotations obtained from spectrum solution. /com, 3. Element forces obtained from spectrum solution. /com,**************************************************************************** /out,scratch /prep7 et,2,combin14 et,3,pipe16 et,5,pipe18 keyopt5,3,1 et,7,mass21

! COMBIN14 Spring-damper element ! Pipe16 element ! Pipe18 element ! Mass21 element

/com, Real Constants

2356


vm-nr1677-1-4a-a Input Listing /com,**************** r, 1, 0.1000E+11, r, 2, 50000000.0, r, 3, 10000000.0, r, 4, 144.000000, r, 5, 36.0000000, r, 6, 36.0000000, rmore, 0.281380000E-03 r, 7, 48.0000000, r, 8, 48.0000000, rmore, 0.329720000E-03 r, 9, 72.0000000, r, 10, 192.000000, r, 11, 135.000000, r, 12, 100.000000, r, 13, 518.000000, r, 14, 259.000000, r, 15, 906.000000, r, 16, 233.000000, r, 17, 130.000000, r, 18, 389.000000, r, 19, 2073.00000, r, 20, 1943.00000, r, 21, 1295.00000,

0.00000000, 0.00000000, 0.00000000, 3.00000000, 2.50000000, 2.50000000,

0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 60.0000000,

0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000,

0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000,

0.000000 0.000000 0.000000 0.000000 0.28138E 0.000000

3.75000000, 3.75000000,

0.00000000, 117.900000,

0.00000000, 0.00000000,

0.00000000, 0.00000000,

0.32972E 0.000000

4.00000000, 8.00000000, 0.40000000, 0.38000000, 518.000000, 259.000000, 906.000000, 233.000000, 130.000000, 389.000000, 2073.00000, 1943.00000, 1295.00000,

0.00000000, 0.00000000, 0.00000000, 0.00000000, 518.000000, 259.000000, 906.000000, 233.000000, 130.000000, 389.000000, 2073.00000, 1943.00000, 1295.00000,

0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000,

0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000,

0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000

/com,---------------------------------------------------------------------------/com, /com, Nodes /com,******* n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n,

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40,

384.000000, 384.000000, 384.000000, 384.000000, 384.000000, 384.000000, 399.000000, 399.000000, 338.800000, 402.600000, 248.400000, 402.600000, 402.600000, 402.600000, 354.700000, 354.700000, 335.900000, 335.900000, 288.000000, 288.000000, 288.000000, 288.000000, 288.000000, 288.000000, 288.000000, 288.000000, 253.200000, 253.200000, 187.300000, 177.000000, 187.300000, 121.400000, 96.0000000, 121.400000, 94.6000000, 94.6000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000,

696.000000, 552.000000, 456.000000, 276.000000, 96.0000000, -180.000000, 26.9000000, 26.9000000, 42.1000000, -11.6000000,

-56.0000000 56.0000000 -69.5000000

-11.6000000, -72.0000000, -72.0000000, -132.000000, -132.000000, -132.000000, -132.000000, -72.0000000, -72.0000000, 0.00000000, 0.00000000, -180.000000, -180.000000, 126.000000, 126.000000, 0.00000000, 0.00000000, 0.00000000,

69.5000000 -69.5000000 69.5000000 -105.600000 105.600000 -119.900000 119.900000 -156.000000 156.000000 -156.000000 156.000000 -156.000000 156.000000 -156.000000 156.000000 -146.700000 146.700000 -128.500000

0.00000000, 0.00000000,

128.500000 -110.200000

0.00000000, 0.00000000, 0.00000000,

110.200000 -94.6000000 94.6000000

-192.000000, 84.0000000, 156.000000,


2357

NRC Piping Benchmarks Input Listings n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n,

2358

41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 205, 206, 207, 208, 241, 242, 243, 244, 245, 246, 252, 253, 254, 255, 256, 257, 291,

0.00000000, -94.6000000, -96.0000000, -94.6000000, -121.400000, -121.400000, -187.300000, -177.000000, -187.300000, -253.200000, -248.400000, -253.200000, -288.000000, -288.000000, -288.000000, -288.000000, -288.000000, -288.000000, -288.000000, -288.000000, -335.900000, -335.900000, -354.700000, -354.700000, -402.600000, -402.600000, -402.600000, -402.600000, -399.000000, -338.800000, -399.000000, -384.000000, -384.000000, -384.000000, -384.000000, -384.000000, -384.000000, 387.131997, 248.496000, 387.131997, 354.700000, 354.700000, 335.900000, 335.900000, 137.244000, 137.244000, -137.244000, -137.244000, -335.900000, -335.900000, -354.700000, -354.700000, -387.164784, -248.538000, -387.164784, 383.000000, 384.000000, 385.000000, 384.000000, 95.6000000, 96.0000000, 93.6000000, 94.6000000, 96.0000000, 94.6000000, -94.6000000, -96.0000000, -94.6000000, -95.6000000, -96.0000000, -93.6000000, -383.000000,

288.000000, 0.00000000,

-94.6000000

0.00000000, 0.00000000, 0.00000000, 0.00000000,

94.6000000 -110.200000 110.200000 -128.500000

0.00000000, 0.00000000,

128.500000 -146.700000

0.00000000, 0.00000000, 0.00000000, 126.000000, 126.000000, -180.000000, -180.000000, -72.0000000, -72.0000000, -132.000000, -132.000000, -132.000000, -132.000000, -72.0000000, -72.0000000, -11.6000000, -11.6000000, 26.9000000, 42.1000000, 26.9000000, 96.0000000, -180.000000, 276.000000, 456.000000, 552.000000, 696.000000, -11.7130035, 117.900000, -11.7130035, -72.0000000, -72.0000000, -72.0000000, -72.0000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, -72.0000000, -72.0000000, -72.0000000, -72.0000000, -11.6665558, 117.810000, -11.6665558, 276.000000, 276.000000, 276.000000, 276.000000, 0.00000000, 0.00000000, 0.00000000, -1.00000000, -1.00000000, -1.00000000, -1.00000000, -1.00000000, -1.00000000, 0.00000000, 0.00000000, 0.00000000, 276.000000,

146.700000 -156.000000 156.000000 -156.000000 156.000000 -156.000000 156.000000 -156.000000 156.000000 -119.900000 119.900000 -105.600000 105.600000 -69.5000000 69.5000000 -69.5000000 69.5000000 -56.0000000 56.0000000

-11.4949905 11.4949905 -105.600000 105.600000 -119.900000 119.900000 -52.3916000 52.3916000 -52.3916000 52.3916000 -119.900000 119.900000 -105.600000 105.600000 -11.6179404 -4.59695000 11.6179404 0.00000000 1.00000000 0.00000000 -1.00000000 -93.6000000 1.00000000 95.6000000 -94.6000000 0.00000000 94.6000000 -94.6000000 0.00000000 94.6000000 -93.6000000 1.00000000 95.6000000 0.00000000


vm-nr1677-1-4a-a Input Listing n, n, n,

292, 293, 294,

-385.000000, -384.000000, -384.000000,

276.000000, 276.000000, 276.000000,

0.00000000 1.00000000 -1.00000000

/com,---------------------------------------------------------------------------/com, /com, Material Properties mp,ex,1,2.9e7 mp,nuxy,1,.3

! Young's Modulus for Mat ID 1 ! Minor Poisson's Ratio for Mat ID 1

/com,---------------------------------------------------------------------------/com, /com, Straight Pipe (Tangent Elements) /com,********************************** mat,1 type,3 real,4 en,1,1,2 en,2,2,3 en,3,3,4 en,4,4,5 en,6,5,7 en,7,5,8 en,8,5,9 en,73,69,72 en,74,70,72 en,75,71,72 en,77,72,74 en,78,74,75 en,79,75,76 en,80,76,77 /com,**************** /com, mat,1 type,3 real,5 en,12,10,13 en,13,12,14 en,16,15,17 en,17,16,18 en,28,27,29 en,30,28,31 en,31,29,32 en,33,31,34 en,48,45,47 en,50,46,49 en,51,47,50 en,53,49,52 en,64,61,63 en,65,62,64 en,68,65,67 en,69,66,68 /com,**************** /com, mat,1 type,3 real,7 en,29,11,30 en,32,30,33 en,49,43,48 en,52,48,51 /com,**************** /com,


2359


mat,1 type,3 real,9 en,20,19,21 en,21,20,22 en,24,21,25 en,25,22,26 en,26,21,27 en,27,22,28 en,54,50,53 en,55,52,54 en,56,55,53 en,57,56,54 en,60,53,59 en,61,54,60 /com,**************** /com, mat,1 type,3 real,10 en,36,35,37 en,37,33,37 en,38,36,37 en,39,38,37 en,40,37,39 en,41,39,40 en,42,40,41 en,43,37,42 en,44,37,43 en,45,37,44 /com,**************** /com, mat,1 type,3 real,11 en,5,5,6 en,76,73,72 /com,**************** /com, mat,1 type,3 real,12 en,22,23,21 en,23,24,22 en,58,53,57 en,59,54,58 /com, /com, Pipe Bend Elements /com,********************* mat,1 type,5 real,6 en,9,7,10,126 en,11,8,12,128 en,14,13,15,129 en,15,14,16,130 en,18,17,19,131 en,19,18,20,132 en,34,32,35,133 en,35,34,36,134 en,46,42,45,135 en,47,44,46,136 en,62,59,61,137

2360


vm-nr1677-1-4a-a Input Listing en,63,60,62,138 en,66,63,65,139 en,67,64,66,140 en,70,67,69,141 en,72,68,71,143 /com,**************** /com, mat,1 type,5 real,8 en,10,9,11,127 en,71,51,70,142 /com, /com, Spring Elements /com,***************** type,2 real,1 en,206,4,206 en,207,4,207 en,208,4,208 en,292,74,292 en,293,74,293 en,294,74,294 /com,**************** /com, type,2 real,2 en,244,35,244 en,245,33,245 en,246,36,246 en,252,42,252 en,253,43,253 en,254,44,254 /com,**************** /com, type,2 real,3 en,241,35,241 en,242,33,242 en,243,36,243 en,255,42,255 en,256,43,256 en,257,44,257 /com,**************** /com, type,2 real,1 en,205,4,205 en,291,74,291 /com,---------------------------------------------------------------------------/com, /com, Mass Elements /com,*************** type,7 real,13 en,129,1 real,14


2361

NRC Piping Benchmarks Input Listings en,130,2 real,14 en,131,3 real,15 en,132,4 real,16 en,133,5 real,17 en,134,21 real,17 en,135,22 real,18 en,136,25 real,18 en,137,26 real,19 en,138,37 real,20 en,139,38 real,21 en,140,39 real,13 en,141,40 real,18 en,142,41 real,18 en,143,55 real,18 en,144,56 real,17 en,145,53 real,17 en,146,54 real,16 en,147,72 real,15 en,148,74 real,14 en,149,75 real,14 en,150,76 real,13 en,151,77 /com,---------------------------------------------------------------------------/com, /com, Constraints /com,************* d,6,all,0

2362


vm-nr1677-1-4a-a Input Listing d,23,all,0 d,24,all,0 d,57,all,0 d,58,all,0 d,73,all,0 d,205,all,0 d,206,all,0 d,207,all,0 d,208,all,0 d,241,all,0 d,242,all,0 d,243,all,0 d,244,all,0 d,245,all,0 d,246,all,0 d,252,all,0 d,253,all,0 d,254,all,0 d,255,all,0 d,256,all,0 d,257,all,0 d,291,all,0 d,292,all,0 d,293,all,0 d,294,all,0 allsel,all /com,---------------------------------------------------------------------------/com, /com, Loads /com,******* sfe,9,1,pres,1,2400.00 sfe,10,1,pres,1,2400.00 sfe,11,1,pres,1,2400.00 sfe,14,1,pres,1,2400.00 sfe,15,1,pres,1,2400.00 sfe,18,1,pres,1,2400.00 sfe,19,1,pres,1,2400.00 sfe,34,1,pres,1,2400.00 sfe,35,1,pres,1,2400.00 sfe,46,1,pres,1,2400.00 sfe,47,1,pres,1,2400.00 sfe,62,1,pres,1,2400.00 sfe,63,1,pres,1,2400.00 sfe,66,1,pres,1,2400.00 sfe,67,1,pres,1,2400.00 sfe,70,1,pres,1,2400.00 sfe,71,1,pres,1,2400.00 sfe,72,1,pres,1,2400.00

allsel,all save finish /com,---------------------------------------------------------------------------/com, /com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal modopt,lanb,30 mxpand,,,,yes solve save

! Expand Solution with Element Calculations ON


2363


/com, /com,=========================== /com, Compare Modal Frequencies /com,=========================== /com, *dim,label,,30 *dim,freq_ans,,30 *dim,freq_exp,,30 *dim,freq_err,,30 *do,i,1,30 label(i)=i *enddo *do,i,1,30 *get,freq_ans(i),mode,i,freq *enddo *vfill,freq_exp,data,0.6133e+01,0.6183e+01,0.6557e+01,0.6571e+01,0.6632e+01,0.6636e+01 *vfill,freq_exp(7),data,0.6722e+01,0.7984e+01,0.1021e+02,0.1173e+02,0.1340e+02,0.1389e+02 *vfill,freq_exp(13),data,0.1425e+02,0.1450e+02,0.1471e+02,0.1557e+02,0.1710e+02,0.1890e+02 *vfill,freq_exp(19),data,0.2829e+02,0.2831e+02,0.2952e+02,0.2980e+02,0.3032e+02,0.3049e+02 *vfill,freq_exp(25),data,0.3050e+02,0.3183e+02,0.3186e+02,0.3950e+02,0.4042e+02,0.4073e+02 *status,freq_ans *status,freq_exp *do,i,1,30 freq_err(i)=abs(freq_ans(i)/freq_exp(i)) *enddo *status,freq_err save,table_1 finish ! Finish Solution routine /com,---------------------------------------------------------------------------/com, /com, /com,================ /com, Spectrum Solve /com,================ /com, /solution spopt,sprs dmprat,0.02 grp,0.001 svtyp,2

! Perform Spectrum Analysis ! Constant Damping Ratio ! Grouping based on Significance Level

sed,1 ! Excitation along X direction freq freq,1,1.05,1.15,1.28,1.60,1.62,1.9,1.92,2.4 freq,2.55,2.8,2.89,3.15,3.28,3.42,4.18,4.41,5.2 freq,5.33,6.52,6.75,7.08,8.65,10,14.07,14.90,17 freq,18.09,21.697,23.8,30,37.5,41,46.21,52,58.82 freq,71.89,98.04,200 sv,0.02,600,662,662,905,905,865,865,914,914 sv,0.02,812,812,855,855,1023,1057,1057,1140,1140 sv,0.02,1399,1399,1150,1222,1222,865,865,755,755 sv,0.02,652,555,475,437,407,255,255,170,243 sv,0.02,243,160,160 solve sed,,1 ! Excitation along Y direction freq freq,1,1.05,1.15,1.28,1.6,1.62,1.9,1.92,2.4 freq,2.55,2.8,2.89,3.15,3.28,3.42,4.18,4.41,5.2 freq,5.33,6.52,6.75,7.08,8.65,10,14.07,14.90,17 freq,18.09,21.70,23.80,30,37.50,41,46.21,52,58.82

2364


vm-nr1677-1-4a-a Input Listing freq,71.89,98.04,200 sv,0.02,400,441.3,441.3,603.3,603.3,576.7,576.7,609.3,609.3 sv,0.02,541.3,541.3,570,570,682,704.7,704.7,760,760 sv,0.02,932.7,932.7,766.7,814.7,814.7,576.7,576.7,503.3,503.3 sv,0.02,434.7,370,316.7,292.5,271.3,170,170,113.3,162 sv,0.02,162,106.7,106.7 solve sed,,,1 ! Excitation along Z direction freq freq,1,1.05,1.15,1.28,1.60,1.62,1.9,1.92,2.4 freq,2.55,2.8,2.89,3.15,3.28,3.42,4.18,4.41,5.2 freq,5.33,6.52,6.75,7.08,8.65,10,14.07,14.90,17 freq,18.09,21.697,23.8,30,37.5,41,46.21,52,58.82 freq,71.89,98.04,200 sv,0.02,600,662,662,905,905,865,865,914,914 sv,0.02,812,812,855,855,1023,1057,1057,1140,1140 sv,0.02,1399,1399,1150,1222,1222,865,865,755,755 sv,0.02,652,555,475,437,407,255,255,170,243 sv,0.02,243,160,160 solve fini /com,---------------------------------------------------------------------------/com, /post1 /input,,mcom /com, *Labels* *dim,label2,char,1,6 *dim,label3,char,3,1 *dim,label4,char,3,1 /com,------------------------label2(1,1) label2(1,2) label2(1,3) label2(1,4) label2(1,5) label2(1,6)

= = = = = =


/com,----------------------label3(1,1)='PX(I)' label3(2,1)='VY(I)' label3(3,1)='VZ(I)' !label3(4,1)='TX(I)' !label3(5,1)='MY(I)' !label3(6,1)='MZ(I)' /com,----------------------label4(1,1)='PX(J)' label4(2,1)='VY(J)' label4(3,1)='VZ(J)' !label4(4,1)='TX(J)' !label4(5,1)='MY(J)' !label4(6,1)='MZ(J)' /com,----------------------------------/com, *======================================================== /com, * Maximum nodal displacements and rotations comparsion /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,55,U,X *GET,AdisY,NODE,77,U,Y


2365

NRC Piping Benchmarks Input Listings *GET,AdisZ,NODE,55,U,Z *GET,ArotX,NODE,55,ROT,X *GET,ArotY,NODE,47,ROT,Y *GET,ArotZ,NODE,55,ROT,Z /com, Expected results from NRC manual /com, ********************************* *SET,EdisX,0.45489 *SET,EdisY,0.76248e-01 *SET,EdisZ,0.95090 *SET,ErotX,0.40966e-02 *SET,ErotY,0.25113e-02 *SET,ErotZ,0.21399e-02 /com, Error computation /com, ********************* ERdisX=ABS((AdisX)/(EdisX)) ERdisY=ABS((AdisY)/(EdisY)) ERdisZ=ABS((AdisZ)/(EdisZ)) ERrotX=ABS((ArotX)/(ErotX)) ERrotY=ABS((ArotY)/(ErotY)) ERrotZ=ABS((ArotZ)/(ErotZ)) *dim,value,,6,3 *vfill,value(1,1),data,EdisX *vfill,value(1,2),data,AdisX *vfill,value(1,3),data,ERdisX *vfill,value(2,1),data,EdisY *vfill,value(2,2),data,AdisY *vfill,value(2,3),data,ERdisY *vfill,value(3,1),data,EdisZ *vfill,value(3,2),data,AdisZ *vfill,value(3,3),data,ERdisZ *vfill,value(4,1),data,ErotX *vfill,value(4,2),data,ArotX *vfill,value(4,3),data,ERrotX *vfill,value(5,1),data,ErotY *vfill,value(5,2),data,ArotY *vfill,value(5,3),data,ERrotY *vfill,value(6,1),data,ErotZ *vfill,value(6,2),data,ArotZ *vfill,value(6,3),data,ERrotZ save,table_2 /com,----------------------------------------------------------/com /com, *======================================================== /com, * Element Forces and Moments Comparison /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, ***************************** *dim,elem_res_I,,2,6 *dim,elem_res_J,,2,6 *dim,pxi,,2 *dim,vyi,,2 *dim,vzi,,2 *dim,txi,,2 *dim,myi,,2 *dim,mzi,,2

2366



*dim,pxj,,2 *dim,vyj,,2 *dim,vzj,,2 *dim,txj,,2 *dim,myj,,2 *dim,mzj,,2 esel,s,ename,,16 esel,a,ename,,18 /com,========== /com, Node I /com,========== /com, Element #1 /com,*********** *get,pxi(1,1),elem,1,smisc,1 *get,vyi(1,1),elem,1,smisc,2 *get,vzi(1,1),elem,1,smisc,3 *get,txi(1,1),elem,1,smisc,4 *get,myi(1,1),elem,1,smisc,5 *get,mzi(1,1),elem,1,smisc,6 *vfill,elem_res_I(1,1),data,pxi(1,1) *vfill,elem_res_I(1,2),data,vyi(1,1) *vfill,elem_res_I(1,3),data,vzi(1,1) *vfill,elem_res_I(1,4),data,txi(1,1) *vfill,elem_res_I(1,5),data,myi(1,1) *vfill,elem_res_I(1,6),data,mzi(1,1) /com, Element #80 /com,************* *get,pxi(2,1),elem,80,smisc,1 *get,vyi(2,1),elem,80,smisc,2 *get,vzi(2,1),elem,80,smisc,3 *get,txi(2,1),elem,80,smisc,4 *get,myi(2,1),elem,80,smisc,5 *get,mzi(2,1),elem,80,smisc,6 *vfill,elem_res_I(2,1),data,pxi(2,1) *vfill,elem_res_I(2,2),data,vyi(2,1) *vfill,elem_res_I(2,3),data,vzi(2,1) *vfill,elem_res_I(2,4),data,txi(2,1) *vfill,elem_res_I(2,5),data,myi(2,1) *vfill,elem_res_I(2,6),data,mzi(2,1) /com,========== /com, Node J /com,========== /com, Element #1 /com,************ *get,pxj(1,1),elem,1,smisc,7 *get,vyj(1,1),elem,1,smisc,8 *get,vzj(1,1),elem,1,smisc,9 *get,txj(1,1),elem,1,smisc,10 *get,myj(1,1),elem,1,smisc,11 *get,mzj(1,1),elem,1,smisc,12 *vfill,elem_res_J(1,1),data,pxj(1,1) *vfill,elem_res_J(1,2),data,vyj(1,1) *vfill,elem_res_J(1,3),data,vzj(1,1) *vfill,elem_res_J(1,4),data,txj(1,1) *vfill,elem_res_J(1,5),data,myj(1,1) *vfill,elem_res_J(1,6),data,mzj(1,1) /com, Element #80 /com,*************


2367


*get,pxj(2,1),elem,80,smisc,7 *get,vyj(2,1),elem,80,smisc,8 *get,vzj(2,1),elem,80,smisc,9 *get,txj(2,1),elem,80,smisc,10 *get,myj(2,1),elem,80,smisc,11 *get,mzj(2,1),elem,80,smisc,12 *vfill,elem_res_J(2,1),data,pxj(2,1) *vfill,elem_res_J(2,2),data,vyj(2,1) *vfill,elem_res_J(2,3),data,vzj(2,1) *vfill,elem_res_J(2,4),data,txj(2,1) *vfill,elem_res_J(2,5),data,myj(2,1) *vfill,elem_res_J(2,6),data,mzj(2,1) /com,---------------------------------------------------------------------------/com, Results from NRC benchmarks /com, *************************** *dim,exp_I,,2,6 *dim,exp_J,,2,6 /com, Element #1 /com,************ *vfill,exp_I(1,1),data,3.154e+05 *vfill,exp_I(1,2),data,6.330e+05 *vfill,exp_I(1,3),data,6.382e+05 *vfill,exp_I(1,4),data,1.0000e-20 *vfill,exp_I(1,5),data,1.965e-06 *vfill,exp_I(1,6),data,1.163e-05 *vfill,exp_J(1,1),data,3.153e+05 *vfill,exp_J(1,2),data,6.330e+05 *vfill,exp_J(1,3),data,6.381e+05 *vfill,exp_J(1,4),data,1.000e-20 *vfill,exp_J(1,5),data,9.189e+07 *vfill,exp_J(1,6),data,9.116e+07 /com, Element #80 /com,************* *vfill,exp_I(2,1),data,3.154e+05 *vfill,exp_I(2,2),data,6.330e+05 *vfill,exp_I(2,3),data,6.382e+05 *vfill,exp_I(2,4),data,2.002e-06 *vfill,exp_I(2,5),data,9.190e+07 *vfill,exp_I(2,6),data,9.116e+07 *vfill,exp_J(2,1),data,3.154e+05 *vfill,exp_J(2,2),data,6.330e+05 *vfill,exp_J(2,3),data,6.382e+05 *vfill,exp_J(2,4),data,2.042e-06 *vfill,exp_J(2,5),data,9.129e-06 *vfill,exp_J(2,6),data,1.546e-05 /com,--------------------------------------------------------------------------/com, Error computation /com, ********************* *dim,elem_error_I,,2,6 *dim,elem_error_J,,2,6 *dim,elem_tab,,24,3 /com,============ /com, Node I /com,============ *do,i,1,2 *do,j,1,6

2368


vm-nr1677-1-4a-a Input Listing *vfill,elem_error_I(i,j),data,abs(elem_res_I(i,j)/exp_I(i,j)) *enddo *enddo /com,============ /com, Node J /com,============ *do,i,1,2 *do,j,1,6 *vfill,elem_error_J(i,j),data,abs(elem_res_J(i,j)/exp_J(i,j)) *enddo *enddo /com,-------------------------------------------------------------------------*do,i,1,2 cs=(i-1)*6 *do,j,1,6 n=cs+j *vfill,elem_tab(n,1),data,exp_I(i,j) *vfill,elem_tab(n,2),data,elem_res_I(i,j) *vfill,elem_tab(n,3),data,elem_error_I(i,j) *enddo *do,j,1,6 m=cs+j+12 *vfill,elem_tab(m,1),data,exp_J(i,j) *vfill,elem_tab(m,2),data,elem_res_J(i,j) *vfill,elem_tab(m,3),data,elem_error_J(i,j) *enddo *enddo save,table_3 /com,------------------------------------------------------------------------/com, /out, /com /com,---------------vm-nr1677-1-4a-a Results Verification---------------------/com, /nopr resume,table_1 /gopr /out,vm-nr1677-1-4a-a,vrt /com, /com, ============================================= /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, ============================================= /com, /com, /com,


Ratio

*vwrite,label(1),freq_exp(1),freq_ans(1),freq_err(1) (1X,F3.0,2X,F8.4,3X,F8.4,3X,F4.2,' ') /com, /com,------------------------------------------------------------------------/com, /nopr resume,table_2 /gopr


2369

NRC Piping Benchmarks Input Listings /com, /com,==================================================== /com, COMPARISON OF NODAL DISPLACEMENTS AND ROTATIONS /com, WITH EXPECTED RESULTS /com,==================================================== /com, /com, /com,


Ratio

*vwrite,label2(1,1),value(1,1),value(1,2),value(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,2),value(2,1),value(2,2),value(2,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,3),value(3,1),value(3,2),value(3,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,4),value(4,1),value(4,2),value(4,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,5),value(5,1),value(5,2),value(5,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,6),value(6,1),value(6,2),value(6,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,------------------------------------------------------------------------/com, /nopr resume,table_3 /gopr /com, /com,=============================================== /com, COMPARISON OF ELEMENT FORCES AND MOMENTS /com, WITH EXPECTED RESULTS /com,=============================================== /com, /com,-----------------------------------------------/com, Note: Element Forces and Moments along Y & Z /com, directions are flipped between Mechanical APDL /com, and NRC results /com,------------------------------------------------

/com, /com,


Ratio

/com,=============== /com, Element 1 /com,=============== /com, *vwrite,label3(1,1),elem_tab(1,1),elem_tab(1,2),elem_tab(1,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(13,1),elem_tab(13,2),elem_tab(13,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, /com, /com,=============== /com, Element 80 /com,=============== /com, *vwrite,label3(1,1),elem_tab(7,1),elem_tab(7,2),elem_tab(7,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3)

2370



/com, *vwrite,label4(1,1),elem_tab(19,1),elem_tab(19,2),elem_tab(19,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, /com, /com, /com, /com,******************************************************************* /com,******************************************************************* /com, /com, /out, *list,vm-nr1677-1-4a-a,vrt finish

vm-nr1677-1-5a-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-1-5a-a /title,vm-nr1677-1-5a-a,NRC Piping Benchmark Problems,Volume 1,Problem 5 /com,*********************************************************************************** /com, /com, Reference: Piping Benchmark Problems /com, NUREC/CR--1677-Vol.1 /com, P.Bezier, M.Hartzman, M.Reich /com, August 1980 /com, /com, Elements used: Pipe16, Pipe18, Combin14 and Mass21 element /com, /com, Results comparsion: /com, The following results are compared against NRC piping benchmark values /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum nodal displacements and rotations obtained from spectrum solution. /com, 3. Element forces/moments obtained from spectrum solution. /com, /com,*********************************************************************************** /out,scratch /prep7 et,1,16 et,2,16 keyopt,2,4,6 et,3,18 keyopt,3,3,1 et,4,14 et,5,21

! Element 1 - PIPE16 (Straight Pipe Element) ! Element 2 - PIPE16 (Straight Pipe Element) ! Tee Branch ! Element 3 - PIPE18 (Pipe Bend Element) ! Use ANSYS Flexibility Factor with Pressure Term ! Element 4 - COMBIN14 (Spring Damper Element) ! Element 5 - MASS21 (Mass Element)

/com, Real Constants /com,**************** r, r, r, r, r, r, r, r, r, r, r,

1, 1.00e7, 0.0, 0.0 ! Real Constant Set 1 2, 450.00, 0.0, 0.0 3, 800.00, 0.0, 0.0 4, 600.00, 0.0, 0.0 5, 14.00, 0.4380, 0.0 6, 14.00, 0.4380, 21.00 7, 12.750, 0.3750, 18.00 8, 12.750, 1.3120, 0.0 9, 12.750, 1.3120, 18.00 10, 12.750, 2.00, 0.0 11, 2.8116, 2.8116, 2.8116


2371

NRC Piping Benchmarks Input Listings r, r, r, r, r, r, r, r, r, r, r, r,

12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,

4.0432, 4.0432, 4.0432 2.5489, 2.5489, 2.5489 1.4063, 1.4063, 1.4063 1.4503, 1.4503, 1.4503 1.8685, 1.8685, 1.8685 2.8566, 2.8566, 2.8566 2.0246, 2.0246, 2.0246 6.7857, 6.7857, 6.7857 0.63406, 0.63406, 0.63406 0.59369, 0.59369, 0.59369 6.95390, 6.95390, 6.95390 3.73960, 3.73960, 3.73960

/com,---------------------------------------------------------------------------/com, Material Properties /com,********************** mp,ex,1,2.62e7 mp,nuxy,1,.3 mp,ex,2,7.56e7 mp,nuxy,2,.3 mp,ex,3,2.52e7 mp,nuxy,3,.3 /com,---------------------------------------------------------------------------/com, Nodes /com,******* n,1,0.0,0.0,0.0 n,2,18.636,0.0,-4.3680 n,3,23.424,0.0,-4.9200 n,4,26.400,0.0,-4.9200 n,5,47.400,0.0,-25.920 n,6,47.400,0.0,-79.920 n,7,68.400,0.0,-100.920 n,8,89.400,0.0,-79.920 n,9,89.400,0.0,-25.920 n,10,110.400,0.0,-4.920 n,11,146.400,0.0,-4.920 n,12,206.400,0.0,-4.920 n,13,245.400,0.0,-4.920 n,14,266.400,0.0,-25.920 n,15,266.400,0.0,-72.480 n,16,266.400,0.0,-87.732 n,17,272.436,-1.452,-102.636 n,18,323.280,-13.680,-154.560 n,19,327.960,-14.760,-159.360 n,20,336.816,-16.944,-168.396 n,21,349.884,-18.264,-173.856 n,22,370.884,-18.264,-173.856 n,23,391.884,-18.264,-173.856 n,24,370.884,30.696,-173.856 n,25,404.844,-18.264,-173.856 n,26,417.804,-18.264,-173.856 n,27,438.804,-18.264,-173.856 n,28,459.804,-18.264,-173.856 n,29,438.804,30.696,-173.856 n,30,472.236,-18.264,-173.856 n,31,485.148,-18.264,-179.316 n,32,507.300,-18.264,-202.128 n,33,519.840,-0.264,-215.040 n,34,245.400,12.000,-4.920 n,35,404.844,12.000,173.856 n,36,485.148,12.000,179.376 n,37,68.400,12.000,-100.920 n,38,323.280,12.000,-154.560 n,39,323.280,-13.680,-166.560 n,52,23.4192,0.000,16.080

2372


vm-nr1677-1-5a-a Input Listing n,53,26.400,0.000,-25.920 n,54,68.400,0.000,-79.920 n,55,68.400,0.000,-79.920 n,56,110.400,0.000,-25.920 n,57,245.400,0.000,-25.920 n,58,286.818,-4.91158,-87.7295 n,59,349.880,-14.0342,-156.360 n,60,472.2350,-18.2640,-191.856 n,61,507.299,-0.2640,-202.127 /com,---------------------------------------------------------------------------/com, Straight Pipe (Tangent Elements) /com,********************************** mat,1 type,1 real,5 en,1,1,2 en,3,3,4 en,5,5,6 en,8,8,9 en,10,10,11 en,11,11,12 en,12,12,13 en,14,14,15 en,15,15,16 en,17,17,18 en,18,18,19 en,19,19,20 /com,----------------mat,2 type,2 real,8 en,21,21,22 en,22,22,23 en,26,26,27 en,27,27,28 /com,----------------mat,3 type,1 real,8 en,24,23,25 en,25,25,26 en,29,28,30 en,31,31,32 /com,----------------mat,3 type,2 real,10 en,23,22,24 en,28,27,29 /com,----------------type,4 real,1 en,33,7,37 /com,-----------------


2373

NRC Piping Benchmarks Input Listings type,4 real,1 en,34,18,38 /com,----------------type,4 real,1 en,35,18,39 /com,----------------type,4 real,2 en,36,13,34 /com,----------------type,4 real,3 en,37,25,35 /com,----------------type,4 real,4 en,38,31,36 /com,-------------------------------/com, Pipe Bend Elements /com,************************ mat,1 type,3 real,6 en,2,2,3,52 en,4,4,5,53 en,6,6,7,54 en,7,7,8,55 en,9,9,10,56 en,13,13,14,57 en,16,16,17,58 /com,----------------------mat,1 type,3 real,7 en,20,20,21,59 /com,----------------------mat,3 type,3 real,9 en,30,30,31,60 en,32,32,33,61 /com,----------------------/com, Mass Elements /com,***************

2374


vm-nr1677-1-5a-a Input Listing type,5 real,11 en,51,4 real,12 en,52,7 real,13 en,53,10 real,14 en,54,11 real,15 en,55,12 real,16 en,56,13 real,17 en,57,15 real,18 en,58,18 real,19 en,59,22 real,20 en,60,24 real,21 en,61,25 real,22 en,62,27 real,20 en,63,29 real,23 en,64,31 /com,----------------/com, Constraints /com,************* d,1,all,0.0,0.0 d,33,all,0.0,0.0 d,34,all,0.0,0.0 d,35,all,0.0,0.0 d,36,all,0.0,0.0 d,37,all,0.0,0.0 d,38,all,0.0,0.0 d,39,all,0.0,0.0 save finish /com,---------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal modopt,lanb,11


2375

NRC Piping Benchmarks Input Listings mxpand,,,,yes solve save finish

! Expand solutions with Element Calculation ON

/com, /com,=========================== /com, Compare Modal Frequencies /com,=========================== /com, *dim,label,,11 *dim,freq_ans,,11 *dim,freq_exp,,11 *dim,freq_err,,11 *do,i,1,11 label(i)=i *enddo *do,i,1,11 *get,freq_ans(i),mode,i,freq *enddo

*vfill,freq_exp,data,0.4036e+01,0.4257e+01,0.9116e+01,0.1119e+02,0.1711e+02,0.1817e+02,0.2238e+02,0.2719e+02,0.2801e+02 *vfill,freq_exp(11),data,0.4097e+02 *status,freq_ans *status,freq_exp *do,i,1,11 freq_err(i)=abs(freq_ans(i)/freq_exp(i)) *enddo *status,freq_err save,table_1 finish /com,---------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr ! Perform Spectrum Analysis spopt,sprs ! Single Point Excitation Response Spectrum dmprat,0.02 ! Constant Damping Ratio grp,0.0 ! Group Modes based on significance level svtyp,2 ! Seismic Acceleration Response Loading save sed,1 ! Excitation in X direction freq freq,1,1.67,3.03,4,4.25,5,5.26,5.261,6.45 freq,6.451,7.14,10,11.76,15,20,25,30,35 freq,40,100 sv,0.02,4.64,9.27,27.82,46.37,66.83,115.92,185.47,425.04,425.04 sv,0.02,193.2,115.92,65.34,46.37,43.53,40.96,39.41,38.38,37.64 sv,0.02,37.09,37.09 solve sed,,1 ! Excitation in Y direction freq freq,1,1.67,3.03,4,4.25,5,5.26,5.261,6.45 freq,6.451,7.14,10,11.76,15,20,25,30,35 freq,40,100 sv,0.02,3.09,6.18,18.55,30.91,44.55,77.28,123.65,283.36,283.36 sv,0.02,128.8,77.28,43.56,30.91,29.02,27.30,26.27,25.59,25.09 sv,0.02,24.73,24.73 solve

2376



sed,,,1 ! Excitation in Z direction freq freq,1,1.67,3.03,4,4.25,5,5.26,5.261,6.45 freq,6.451,7.14,10,11.76,15,20,25,30,35 freq,40,100 sv,0.02,4.64,9.27,27.82,46.37,66.83,115.92,185.47,425.04,425.04 sv,0.02,193.2,115.92,65.34,46.37,43.53,40.96,39.41,38.38,37.64 sv,0.02,37.09,37.09 solve /com,---------------------------------------------------------------------------/post1 /input,,mcom /com, *Labels* *dim,label2,char,1,6 *dim,label3,char,6,1 *dim,label4,char,6,1 /com,------------------------label2(1,1) label2(1,2) label2(1,3) label2(1,4) label2(1,5) label2(1,6)

= = = = = =


/com,----------------------label3(1,1)='PX(I)' label3(2,1)='VY(I)' label3(3,1)='VZ(I)' label3(4,1)='TX(I)' label3(5,1)='MY(I)' label3(6,1)='MZ(I)' /com,----------------------label4(1,1)='PX(J)' label4(2,1)='VY(J)' label4(3,1)='VZ(J)' label4(4,1)='TX(J)' label4(5,1)='MY(J)' label4(6,1)='MZ(J)' /com,----------------------------------/com, *======================================================== /com, * Maximum nodal displacements and rotations comparsion /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,7,U,X *GET,AdisY,NODE,13,U,Y *GET,AdisZ,NODE,10,U,Z *GET,ArotX,NODE,14,ROT,X *GET,ArotY,NODE,6,ROT,Y *GET,ArotZ,NODE,8,ROT,Z /com, Expected results from NRC manual /com, ********************************* *SET,EdisX,9.76006e-02 *SET,EdisY,6.00532e-02 *SET,EdisZ,4.65745e-02 *SET,ErotX,4.42117e-04 *SET,ErotY,1.09853e-03


2377

NRC Piping Benchmarks Input Listings *SET,ErotZ,1.95557e-04 /com, Error computation /com, ********************* ERdisX=ABS((AdisX)/(EdisX)) ERdisY=ABS((AdisY)/(EdisY)) ERdisZ=ABS((AdisZ)/(EdisZ)) ERrotX=ABS((ArotX)/(ErotX)) ERrotY=ABS((ArotY)/(ErotY)) ERrotZ=ABS((ArotZ)/(ErotZ)) *dim,value,,6,3 *vfill,value(1,1),data,EdisX *vfill,value(1,2),data,AdisX *vfill,value(1,3),data,ERdisX *vfill,value(2,1),data,EdisY *vfill,value(2,2),data,AdisY *vfill,value(2,3),data,ERdisY *vfill,value(3,1),data,EdisZ *vfill,value(3,2),data,AdisZ *vfill,value(3,3),data,ERdisZ *vfill,value(4,1),data,ErotX *vfill,value(4,2),data,ArotX *vfill,value(4,3),data,ERrotX *vfill,value(5,1),data,ErotY *vfill,value(5,2),data,ArotY *vfill,value(5,3),data,ERrotY *vfill,value(6,1),data,ErotZ *vfill,value(6,2),data,ArotZ *vfill,value(6,3),data,ERrotZ save,table_2 /com,----------------------------------------------------------/com, *======================================================== /com, * Element Forces and Moments Comparison /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *dim,elem_res_I,,3,6 *dim,elem_res_J,,3,6 *dim,pxi,,3 *dim,vyi,,3 *dim,vzi,,3 *dim,txi,,3 *dim,myi,,3 *dim,mzi,,3 *dim,pxj,,3 *dim,vyj,,3 *dim,vzj,,3 *dim,txj,,3 *dim,myj,,3 *dim,mzj,,3 esel,s,ename,,16 esel,a,ename,,18 /com,========== /com, Node I /com,==========

2378



/com, Element #1 /com,*********** *get,pxi(1,1),elem,1,smisc,1 *get,vyi(1,1),elem,1,smisc,2 *get,vzi(1,1),elem,1,smisc,3 *get,txi(1,1),elem,1,smisc,4 *get,myi(1,1),elem,1,smisc,5 *get,mzi(1,1),elem,1,smisc,6 *vfill,elem_res_I(1,1),data,pxi(1,1) *vfill,elem_res_I(1,2),data,vyi(1,1) *vfill,elem_res_I(1,3),data,vzi(1,1) *vfill,elem_res_I(1,4),data,txi(1,1) *vfill,elem_res_I(1,5),data,myi(1,1) *vfill,elem_res_I(1,6),data,mzi(1,1) /com, Element #31 /com,************* *get,pxi(2,1),elem,31,smisc,1 *get,vyi(2,1),elem,31,smisc,2 *get,vzi(2,1),elem,31,smisc,3 *get,txi(2,1),elem,31,smisc,4 *get,myi(2,1),elem,31,smisc,5 *get,mzi(2,1),elem,31,smisc,6 *vfill,elem_res_I(2,1),data,pxi(2,1) *vfill,elem_res_I(2,2),data,vyi(2,1) *vfill,elem_res_I(2,3),data,vzi(2,1) *vfill,elem_res_I(2,4),data,txi(2,1) *vfill,elem_res_I(2,5),data,myi(2,1) *vfill,elem_res_I(2,6),data,mzi(2,1) /com, Element #20 /com,************* *get,pxi(3,1),elem,20,smisc,1 *get,vyi(3,1),elem,20,smisc,2 *get,vzi(3,1),elem,20,smisc,3 *get,txi(3,1),elem,20,smisc,4 *get,myi(3,1),elem,20,smisc,5 *get,mzi(3,1),elem,20,smisc,6 *vfill,elem_res_I(3,1),data,pxi(3,1) *vfill,elem_res_I(3,2),data,vyi(3,1) *vfill,elem_res_I(3,3),data,vzi(3,1) *vfill,elem_res_I(3,4),data,txi(3,1) *vfill,elem_res_I(3,5),data,myi(3,1) *vfill,elem_res_I(3,6),data,mzi(3,1)

/com,========== /com, Node J /com,========== /com, Element #1 /com,************ *get,pxj(1,1),elem,1,smisc,7 *get,vyj(1,1),elem,1,smisc,8 *get,vzj(1,1),elem,1,smisc,9 *get,txj(1,1),elem,1,smisc,10 *get,myj(1,1),elem,1,smisc,11 *get,mzj(1,1),elem,1,smisc,12 *vfill,elem_res_J(1,1),data,pxj(1,1) *vfill,elem_res_J(1,2),data,vyj(1,1) *vfill,elem_res_J(1,3),data,vzj(1,1) *vfill,elem_res_J(1,4),data,txj(1,1) *vfill,elem_res_J(1,5),data,myj(1,1)


2379

NRC Piping Benchmarks Input Listings *vfill,elem_res_J(1,6),data,mzj(1,1) /com, Element #31 /com,************* *get,pxj(2,1),elem,31,smisc,7 *get,vyj(2,1),elem,31,smisc,8 *get,vzj(2,1),elem,31,smisc,9 *get,txj(2,1),elem,31,smisc,10 *get,myj(2,1),elem,31,smisc,11 *get,mzj(2,1),elem,31,smisc,12 *vfill,elem_res_J(2,1),data,pxj(2,1) *vfill,elem_res_J(2,2),data,vyj(2,1) *vfill,elem_res_J(2,3),data,vzj(2,1) *vfill,elem_res_J(2,4),data,txj(2,1) *vfill,elem_res_J(2,5),data,myj(2,1) *vfill,elem_res_J(2,6),data,mzj(2,1) /com, Element #20 /com,************ *get,pxj(3,1),elem,20,smisc,7 *get,vyj(3,1),elem,20,smisc,8 *get,vzj(3,1),elem,20,smisc,9 *get,txj(3,1),elem,20,smisc,10 *get,myj(3,1),elem,20,smisc,11 *get,mzj(3,1),elem,20,smisc,12 *vfill,elem_res_J(3,1),data,pxj(3,1) *vfill,elem_res_J(3,2),data,vyj(3,1) *vfill,elem_res_J(3,3),data,vzj(3,1) *vfill,elem_res_J(3,4),data,txj(3,1) *vfill,elem_res_J(3,5),data,myj(3,1) *vfill,elem_res_J(3,6),data,mzj(3,1) /com,---------------------------------------------------------------------------/com, Results from NRC benchmarks /com, *************************** *dim,exp_I,,3,6 *dim,exp_J,,3,6 /com, Element #1 /com,************ *vfill,exp_I(1,1),data,4.736e+02 *vfill,exp_I(1,2),data,1.209e+02 *vfill,exp_I(1,3),data,4.636e+02 *vfill,exp_I(1,4),data,3.979e+03 *vfill,exp_I(1,5),data,5.239e+04 *vfill,exp_I(1,6),data,9.741e+03 *vfill,exp_J(1,1),data,4.736e+02 *vfill,exp_J(1,2),data,1.209e+02 *vfill,exp_J(1,3),data,4.036e+02 *vfill,exp_J(1,4),data,3.479e+03 *vfill,exp_J(1,5),data,4.411e+04 *vfill,exp_J(1,6),data,7.434e+03 /com, Element #31 /com,************* *vfill,exp_I(2,1),data,5.259e+02 *vfill,exp_I(2,2),data,2.338e+02 *vfill,exp_I(2,3),data,4.972e+02 *vfill,exp_I(2,4),data,1.518e+04 *vfill,exp_I(2,5),data,1.190e+04 *vfill,exp_I(2,6),data,7.325e+03 *vfill,exp_J(2,1),data,5.259e+02

2380


vm-nr1677-1-5a-a Input Listing *vfill,exp_J(2,2),data,2.338e+02 *vfill,exp_J(2,3),data,4.972e+02 *vfill,exp_J(2,4),data,1.518e+04 *vfill,exp_J(2,5),data,1.190e+04 *vfill,exp_j(2,6),data,7.326e+03 /com, Element #20 /com,************* *vfill,exp_I(3,1),data,4.184e+02 *vfill,exp_I(3,2),data,2.626e+02 *vfill,exp_I(3,3),data,2.154e+02 *vfill,exp_I(3,4),data,9.940e+03 *vfill,exp_I(3,5),data,2.318e+04 *vfill,exp_I(3,6),data,1.200e+04 *vfill,exp_J(3,1),data,3.168e+02 *vfill,exp_J(3,2),data,2.154e+02 *vfill,exp_J(3,3),data,3.462e+02 *vfill,exp_J(3,4),data,1.506e+04 *vfill,exp_J(3,5),data,2.218e+04 *vfill,exp_J(3,6),data,4.918e+03 /com,--------------------------------------------------------------------------/com, Error computation /com, ********************* *dim,elem_error_I,,3,6 *dim,elem_error_J,,3,6 *dim,elem_tab,,36,3 /com,============ /com, Node I /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_I(i,j),data,abs(elem_res_I(i,j)/exp_I(i,j)) *enddo *enddo /com,============ /com, Node J /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_J(i,j),data,abs(elem_res_J(i,j)/exp_J(i,j)) *enddo *enddo /com,-------------------------------------------------------------------------*do,i,1,3 cs=(i-1)*6 *do,j,1,6 n=cs+j *vfill,elem_tab(n,1),data,exp_I(i,j) *vfill,elem_tab(n,2),data,elem_res_I(i,j) *vfill,elem_tab(n,3),data,elem_error_I(i,j) *enddo *do,j,1,6 m=cs+j+18 *vfill,elem_tab(m,1),data,exp_J(i,j) *vfill,elem_tab(m,2),data,elem_res_J(i,j) *vfill,elem_tab(m,3),data,elem_error_J(i,j) *enddo *enddo save,table_3


2381


/com,------------------------------------------------------------------------/com, /out, /com /com,------------------vm-nr1677-1-5a-a Results Verification-------------------/com, /nopr resume,table_1 /gopr /out,vm-nr1677-1-5a-a,vrt /com, /com, ============================================= /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, ============================================= /com, /com, Mode | Expected | Mechanical APDL | /com,

Ratio



Ratio

*vwrite,label2(1,1),value(1,1),value(1,2),value(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,2),value(2,1),value(2,2),value(2,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,3),value(3,1),value(3,2),value(3,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,4),value(4,1),value(4,2),value(4,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,5),value(5,1),value(5,2),value(5,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,6),value(6,1),value(6,2),value(6,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,------------------------------------------------------------------------/com, /nopr resume,table_3 /gopr /com, /com,=============================================== /com, COMPARISON OF ELEMENT FORCES AND MOMENTS

2382


vm-nr1677-1-5a-a Input Listing /com, WITH EXPECTED RESULTS /com,=============================================== /com, /com,-----------------------------------------------/com, Note: Element Forces and Moments along Y & Z /com, directions are flipped between Mechanical APDL /com, and NRC results /com,------------------------------------------------

/com, /com,


Ratio




2383


vm-nr1677-1-6a-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-1-6a-a /title,vm-nr1677-1-6a-a,NRC Piping Benchmark Problems,Volume 1,Problem 6 /com,**************************************************************************** /com, /com, Reference: Piping Benchmark Problems /com, NUREC/CR--1677-Vol.1 /com, P.Bezier, M.Hartzman, M.Reich /com, August 1980 /com, /com, Elements used: Pipe16, Pipe18, Combin14, Mass21 /com, /com, Results comparsion: /com, The following results are compared against NRC piping benchmark values /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum nodal displacements and rotations obtained from spectrum solution. /com, 3. Element forces/moments obtained from spectrum solution. /com,**************************************************************************** /out,scratch /prep7 et,1,pipe16 et,2,pipe16 keyopt,2,1,1 et,3,pipe18 keyopt,3,3,1 et,4,pipe18 keyopt,4,1,1 keyopt,4,3,1 et,5,combin14 et,105,combin14 keyopt,105,3,1 et,6,mass21

! ! ! ! ! ! ! !

Element 1 - PIPE16 Element 2 - PIPE16 Temperatures represent Diametral Gradient Element 3 - PIPE18 Use ANSYS Flexibility factor with pressure term Element 4 - PIPE18 Temperatures represent Diametral Gradient Use ANSYS Flexibility factor with pressure term ! Element 5 - COMBIN14 ! Element 105 - COMBIN14 ! Torsional Spring Damper ! Element 6 - MASS21

/com, *Real Constants* /com,****************** r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r,

2384

6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 101, 102, 103, 104, 105, 106,

30.0000000, 30.0000000, 32.0000000, 32.0000000, 30.0000000, 9.92500000, 5.45300000, 4.88800000, 5.88800000, 5.37300000, 3.95000000, 2.43000000, 3.94100000, 7.60920000, 7.61200000, 7.61110000, 7.60100000, 10.2930000, 7.51800000, 3.87700000, 10.5280000, 0.1000000E20, 0.1000000E07, 0.2500000E06, 0.2000000E07, 0.4500000E06, 0.8000000E06,

0.85000000, 0.85000000, 0.90500000, 0.90500000, 0.85000000, 9.92500000, 5.45300000, 4.88800000, 5.88800000, 5.37300000, 3.95000000, 2.43000000, 3.94100000, 7.60920000, 7.61200000, 7.61110000, 7.60100000, 10.2930000, 7.51800000, 3.87700000, 10.5280000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000,

0.00000000, 45.0000000, 0.00000000, 45.0000000, 150.000000, 9.92500000, 5.45300000, 4.88800000, 5.88800000, 5.37300000, 3.95000000, 2.43000000, 3.94100000, 7.60920000, 7.61200000, 7.61110000, 7.60100000, 10.2930000, 7.51800000, 3.87700000, 10.5280000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000,


vm-nr1677-1-6a-a Input Listing r, r,

107, 108,

0.1000000E10, 0.1000000E12,

0.00000000, 0.00000000,

0.00000000, 0.00000000,

/com,------------------------------------------------------------------/com, /com, *Nodes* /com,********* n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n,

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 76, 77, 78, 79, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155,

126.000000, 126.000000, 126.000000, 126.000000, 126.000000, 126.000000, 126.000000, 126.000000, 126.000000, 126.000000, 126.000000, 126.000000, 169.860000, 138.846498, 173.928000, 229.836000, 283.992000, 335.988000, 385.428000, 431.940000, 475.164000, 514.776000, 550.464000, 581.964000, 609.036000, 631.474000, 649.104000, 661.788000, 669.444000, 672.000000, 669.444000, 661.788000, 649.104000, 631.476000, 609.036000, 581.964000, 550.596000, 375.312000, 473.553150, 345.576000, 262.368000, 221.700000, 179.160000, 191.619252, 179.160000, 126.000000, 169.857000, 424.134000, 221.707000, 127.000000, 126.000000, 515.776000, 514.776000, 514.776000, 662.788000, 661.788000, 661.788000, 661.788000, 582.223000, 180.160000, 179.160000, 179.160000, 180.160000,

483.996000, 483.996000, 528.996000, 497.176195, 567.996000, 651.996000, 735.996000, 802.596000, 869.196000, 917.196000, 965.196000, 968.196000, 1013.19600, 1000.01701, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 968.196000, 1000.01318, 968.172000, 528.996000, 968.196000, 1013.20000, 968.196000, 965.196000, 965.196000, 1013.19600, 1014.19600, 1013.19600, 1013.19600, 1014.19600, 1013.19600, 1014.19600, 1013.19600, 968.196000, 969.196000, 968.196000, 968.196000,

705.840000 704.640000 659.640000 672.820195 659.640000 659.640000 659.640000 659.640000 659.640000 659.640000 659.640000 659.640000 649.560000 656.687590 648.624000 630.996000 608.556000 581.484000 550.080000 514.392000 474.780000 431.556000 385.044000 335.604000 283.608000 229.452000 173.544000 116.304000 58.1760000 -0.39600000 -58.9680000 -117.096000 -174.336000 -230.244000 -284.400000 -336.396000 -385.572000 -446.736000 -446.529080 -436.500000 -407.844000 -393.840000 -379.188000 -383.479325 -379.188000 704.640000 649.561000 -304.904000 -393.842000 659.640000 660.640000 431.556000 431.556000 432.556000 116.304000 116.304000 117.304000 -117.096000 -337.362000 -379.188000 -379.188000 -378.188000 -379.188000


2385

NRC Piping Benchmarks Input Listings n, n, n, n, n,

156, 157, 158, 159, 160,

179.160000, 179.160000, 127.000000, 126.000000, 126.000000,

969.196000, 968.196000, 483.996000, 484.996000, 483.996000,

-379.188000 -378.188000 705.840000 705.840000 706.840000

/com,------------------------------------------------------------------/com, /com, *Material Properties* /com,*********************** mp,ex,1,29900000 mp,nuxy,1,.3 /com,------------------------------------------------------------------/com, /com, *Straight Pipe (Tangent) Elements* /com,************************************ /com, mat,1 type,1 real,6 en,1,1,2 en,4,3,5 en,5,5,6 en,6,6,7 en,7,7,8 en,8,8,9 en,9,9,10 en,10,10,11 en,11,11,12 en,14,13,15 en,15,15,16 en,16,16,17 en,17,17,18 en,18,18,19 en,19,19,20 en,20,20,21 en,21,21,22 en,22,22,23 en,23,23,24 en,24,24,25 en,25,25,26 en,26,26,27 en,27,27,28 en,28,28,29 en,29,29,30 en,30,30,31 en,31,31,32 en,32,32,33 en,33,33,34 en,34,34,35 en,35,35,36 en,36,36,37 en,39,38,40 en,40,40,41 en,41,41,42 /com,---------------mat,1 type,1 real,8 en,44,43,45 /com,---------------/com,

2386



/com, *Pipe Bend Elements* /com,********************** mat,1 type,3 real,7 en,2,2,4,76 en,3,4,3,76 en,12,12,14,77 en,13,14,13,77 /com,---------------mat,1 type,3 real,9 en,42,42,44,79 en,43,44,43,79 /com,---------------mat,1 type,3 real,10 en,37,37,39,78 en,38,39,38,78 /com,---------------/com, /com, *Spring Elements* /com,********************

mat,1 type,5 real,101 en,158,1,158 en,159,1,159 en,160,1,160 /com,---------------mat,1 type,5 real,102 en,142,11,142 en,143,11,143 /com,---------------mat,1 type,5 real,103 en,144,22,144 en,146,22,146 /com,---------------mat,1 type,5 real,104 en,145,22,145 en,148,28,148 en,150,32,150 /com,---------------mat,1 type,5 real,105


2387

NRC Piping Benchmarks Input Listings en,147,28,147 en,149,28,149 /com,---------------mat,1 type,5 real,106 en,151,36,151 /com,---------------mat,1 type,5 real,107 en,152,45,152 en,153,45,153 en,154,45,154 /com,---------------mat,1 type,105 real,101 en,161,1,158 en,162,1,159 en,163,1,160 /com,---------------mat,1 type,105 real,108 en,155,45,155 en,156,45,156 en,157,45,157 /com,---------------/com, /com, *Mass Elements* /com,***************** mat,1 type,6 real,11 en,75,5 real,12 en,76,6 real,13 en,77,7 real,14 en,78,8 real,15 en,79,10 real,16 en,80,12 real,17 en,81,13 real,18 en,82,15 real,19 en,83,17

2388



real,19 en,84,19 real,20 en,85,21 real,21 en,86,23 real,21 en,87,25 real,21 en,88,27 real,21 en,89,29 real,21 en,90,31 real,21 en,91,33 real,22 en,92,35 real,23 en,93,37 real,24 en,94,38 real,25 en,95,40 real,26 en,96,41 /com,------------------------------------------------------------------/com, /com, *Constraints* /com,*************** d,142,all,0 d,143,all,0 d,144,all,0 d,145,all,0 d,146,all,0 d,147,all,0 d,148,all,0 d,149,all,0 d,150,all,0 d,151,all,0 d,152,all,0 d,153,all,0 d,154,all,0 d,155,all,0 d,156,all,0 d,157,all,0 d,158,all,0 d,159,all,0 d,160,all,0 allsel,all save finish /com,-------------------------------------------------------------------


2389

NRC Piping Benchmarks Input Listings /com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal modopt,lanb,31 mxpand,,,,yes solve save /com, /com,=========================== /com, Compare Modal Frequencies /com,=========================== /com, *dim,label,,31 *dim,freq_ans,,31 *dim,freq_exp,,31 *dim,freq_err,,31 *do,i,1,31 label(i)=i *enddo *do,i,1,31 *get,freq_ans(i),mode,i,freq *enddo *vfill,freq_exp,data,0.6391e+01,0.9993e+01,0.1327e+02,0.1449e+02,0.1533e+02 *vfill,freq_exp(6),data,0.1750e+02,0.1909e+02,0.1962e+02,0.2144e+02,0.2871e+02 *vfill,freq_exp(11),data,0.2986e+02,0.3148e+02,0.3201e+02,0.3637e+02,0.4098e+02 *vfill,freq_exp(16),data,0.4137e+02,0.4739e+02,0.4977e+02,0.5013e+02,0.5293e+02 *vfill,freq_exp(21),data,0.5690e+02,0.5851e+02,0.6747e+02,0.7046e+02,0.7541e+02 *vfill,freq_exp(26),data,0.7918e+02,0.8074e+02,0.8611e+02,0.8828e+02,0.9274e+02 *vfill,freq_exp(31),data,0.9936e+02 *status,freq_ans *status,freq_exp *do,i,1,31 freq_err(i)=abs(freq_ans(i)/freq_exp(i)) *enddo *status,freq_err save,table_1 finish /com,------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr ! Perform Spectrum Analysis spopt,sprs ! Single Point Excitation Response Spectrum dmprat,0.02 ! Constant Damping Ratio grp,0.001 ! Group Modes based on Singificance Level svtyp,2 ! Seismic Acceleration Response Loading sed,1 ! Excitation in X direction freq freq,0.5,1.1,1.11,8.0,8.01,10,15,20,25 freq,30,35,40,45,50,55,60,65,70 freq,75,80,85,90,95,100,200 sv,0.02,27.05,135.20,649.10,649.10,81.14,75.73,68.52,64.92,62.75

2390


vm-nr1677-1-6a-a Input Listing sv,0.02,61.31,60.28,59.51,58.91,58.43,58.03,57.71,57.43,57.19 sv,0.02,56.98,56.80,56.64,56.50,56.38,56.26,54.53 solve sed,,1 ! Excitation in Y direction freq freq,0.5,1.56,1.563,4.76,4.762,200 sv,0.02,108.2,143,1190,1190,73.42,73.42 solve sed,,,1 ! Excitation in Z direction freq freq,0.5,1.1,1.11,8.0,8.01,10,15,20,25 freq,30,35,40,45,50,55,60,65,70 freq,75,80,85,90,95,100,200 sv,0.02,27.05,135.20,649.10,649.10,81.14,75.73,68.52,64.92,62.75 sv,0.02,61.31,60.28,59.51,58.91,58.43,58.03,57.71,57.43,57.19 sv,0.02,56.98,56.80,56.64,56.50,56.38,56.26,54.53 solve finish /com,------------------------------------------------------------------/post1 /input,,mcom

! Compute SSRS

/com, *Labels* *dim,label2,char,1,6 *dim,label3,char,6,1 *dim,label4,char,6,1 /com,------------------------label2(1,1) label2(1,2) label2(1,3) label2(1,4) label2(1,5) label2(1,6)

= = = = = =


/com,----------------------label3(1,1)='PX(I)' label3(2,1)='VY(I)' label3(3,1)='VZ(I)' label3(4,1)='TX(I)' label3(5,1)='MY(I)' label3(6,1)='MZ(I)' /com,----------------------label4(1,1)='PX(J)' label4(2,1)='VY(J)' label4(3,1)='VZ(J)' label4(4,1)='TX(J)' label4(5,1)='MY(J)' label4(6,1)='MZ(J)' /com,----------------------------------/com, *======================================================== /com, * Maximum nodal displacements and rotations comparsion /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,33,U,X *GET,AdisY,NODE,39,U,Y *GET,AdisZ,NODE,38,U,Z *GET,ArotX,NODE,37,ROT,X


2391

NRC Piping Benchmarks Input Listings *GET,ArotY,NODE,37,ROT,Y *GET,ArotZ,NODE,41,ROT,Z /com, Expected results from NRC manual /com, ********************************* *SET,EdisX,2.35964e-02 *SET,EdisY,0.89428e-01 *SET,EdisZ,1.51271e-02 *SET,ErotX,3.19637e-04 *SET,ErotY,9.58014e-05 *SET,ErotZ,3.10753e-04 /com, Error computation /com, ********************* ERdisX=ABS((AdisX)/(EdisX)) ERdisY=ABS((AdisY)/(EdisY)) ERdisZ=ABS((AdisZ)/(EdisZ)) ERrotX=ABS((ArotX)/(ErotX)) ERrotY=ABS((ArotY)/(ErotY)) ERrotZ=ABS((ArotZ)/(ErotZ)) *dim,value,,6,3 *vfill,value(1,1),data,EdisX *vfill,value(1,2),data,AdisX *vfill,value(1,3),data,ERdisX *vfill,value(2,1),data,EdisY *vfill,value(2,2),data,AdisY *vfill,value(2,3),data,ERdisY *vfill,value(3,1),data,EdisZ *vfill,value(3,2),data,AdisZ *vfill,value(3,3),data,ERdisZ *vfill,value(4,1),data,ErotX *vfill,value(4,2),data,ArotX *vfill,value(4,3),data,ERrotX *vfill,value(5,1),data,ErotY *vfill,value(5,2),data,ArotY *vfill,value(5,3),data,ERrotY *vfill,value(6,1),data,ErotZ *vfill,value(6,2),data,ArotZ *vfill,value(6,3),data,ERrotZ save,table_2 /com,----------------------------------------------------------/com, *======================================================== /com, * Element Forces and Moments Comparison /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *dim,elem_res_I,,3,6 *dim,elem_res_J,,3,6 *dim,pxi,,3 *dim,vyi,,3 *dim,vzi,,3 *dim,txi,,3 *dim,myi,,3 *dim,mzi,,3 *dim,pxj,,3 *dim,vyj,,3

2392


vm-nr1677-1-6a-a Input Listing *dim,vzj,,3 *dim,txj,,3 *dim,myj,,3 *dim,mzj,,3 esel,s,ename,,16 esel,a,ename,,18 /com,========== /com, Node I /com,========== /com, Element #1 /com,*********** *get,pxi(1,1),elem,1,smisc,1 *get,vyi(1,1),elem,1,smisc,2 *get,vzi(1,1),elem,1,smisc,3 *get,txi(1,1),elem,1,smisc,4 *get,myi(1,1),elem,1,smisc,5 *get,mzi(1,1),elem,1,smisc,6 *vfill,elem_res_I(1,1),data,pxi(1,1) *vfill,elem_res_I(1,2),data,vyi(1,1) *vfill,elem_res_I(1,3),data,vzi(1,1) *vfill,elem_res_I(1,4),data,txi(1,1) *vfill,elem_res_I(1,5),data,myi(1,1) *vfill,elem_res_I(1,6),data,mzi(1,1) /com, Element #44 /com,************* *get,pxi(2,1),elem,44,smisc,1 *get,vyi(2,1),elem,44,smisc,2 *get,vzi(2,1),elem,44,smisc,3 *get,txi(2,1),elem,44,smisc,4 *get,myi(2,1),elem,44,smisc,5 *get,mzi(2,1),elem,44,smisc,6 *vfill,elem_res_I(2,1),data,pxi(2,1) *vfill,elem_res_I(2,2),data,vyi(2,1) *vfill,elem_res_I(2,3),data,vzi(2,1) *vfill,elem_res_I(2,4),data,txi(2,1) *vfill,elem_res_I(2,5),data,myi(2,1) *vfill,elem_res_I(2,6),data,mzi(2,1) /com, Element #37 /com,************* *get,pxi(3,1),elem,37,smisc,1 *get,vyi(3,1),elem,37,smisc,2 *get,vzi(3,1),elem,37,smisc,3 *get,txi(3,1),elem,37,smisc,4 *get,myi(3,1),elem,37,smisc,5 *get,mzi(3,1),elem,37,smisc,6 *vfill,elem_res_I(3,1),data,pxi(3,1) *vfill,elem_res_I(3,2),data,vyi(3,1) *vfill,elem_res_I(3,3),data,vzi(3,1) *vfill,elem_res_I(3,4),data,txi(3,1) *vfill,elem_res_I(3,5),data,myi(3,1) *vfill,elem_res_I(3,6),data,mzi(3,1)

/com,========== /com, Node J /com,========== /com, Element #1 /com,************ *get,pxj(1,1),elem,1,smisc,7


2393

NRC Piping Benchmarks Input Listings *get,vyj(1,1),elem,1,smisc,8 *get,vzj(1,1),elem,1,smisc,9 *get,txj(1,1),elem,1,smisc,10 *get,myj(1,1),elem,1,smisc,11 *get,mzj(1,1),elem,1,smisc,12 *vfill,elem_res_J(1,1),data,pxj(1,1) *vfill,elem_res_J(1,2),data,vyj(1,1) *vfill,elem_res_J(1,3),data,vzj(1,1) *vfill,elem_res_J(1,4),data,txj(1,1) *vfill,elem_res_J(1,5),data,myj(1,1) *vfill,elem_res_J(1,6),data,mzj(1,1) /com, Element #44 /com,************* *get,pxj(2,1),elem,44,smisc,7 *get,vyj(2,1),elem,44,smisc,8 *get,vzj(2,1),elem,44,smisc,9 *get,txj(2,1),elem,44,smisc,10 *get,myj(2,1),elem,44,smisc,11 *get,mzj(2,1),elem,44,smisc,12 *vfill,elem_res_J(2,1),data,pxj(2,1) *vfill,elem_res_J(2,2),data,vyj(2,1) *vfill,elem_res_J(2,3),data,vzj(2,1) *vfill,elem_res_J(2,4),data,txj(2,1) *vfill,elem_res_J(2,5),data,myj(2,1) *vfill,elem_res_J(2,6),data,mzj(2,1) /com, Element #37 /com,************* *get,pxj(3,1),elem,37,smisc,7 *get,vyj(3,1),elem,37,smisc,8 *get,vzj(3,1),elem,37,smisc,9 *get,txj(3,1),elem,37,smisc,10 *get,myj(3,1),elem,37,smisc,11 *get,mzj(3,1),elem,37,smisc,12 *vfill,elem_res_J(3,1),data,pxj(3,1) *vfill,elem_res_J(3,2),data,vyj(3,1) *vfill,elem_res_J(3,3),data,vzj(3,1) *vfill,elem_res_J(3,4),data,txj(3,1) *vfill,elem_res_J(3,5),data,myj(3,1) *vfill,elem_res_J(3,6),data,mzj(3,1) /com,---------------------------------------------------------------------------/com, Results from NRC benchmarks /com, *************************** *dim,exp_I,,3,6 *dim,exp_J,,3,6 /com, Element #1 /com,************ *vfill,exp_I(1,1),data,1.171e+03 *vfill,exp_I(1,2),data,2.398e+03 *vfill,exp_I(1,3),data,1.265e+03 *vfill,exp_I(1,4),data,6.826e+04 *vfill,exp_I(1,5),data,4.807e+04 *vfill,exp_I(1,6),data,9.174e+04 *vfill,exp_J(1,1),data,1.171e+03 *vfill,exp_J(1,2),data,2.398e+03 *vfill,exp_J(1,3),data,1.265e+03 *vfill,exp_J(1,4),data,6.826e+04 *vfill,exp_J(1,5),data,4.664e+04 *vfill,exp_J(1,6),data,8.926e+04

2394


vm-nr1677-1-6a-a Input Listing /com, Element #44 /com,************* *vfill,exp_I(2,1),data,1.749e+03 *vfill,exp_I(2,2),data,1.990e+03 *vfill,exp_I(2,3),data,9.465e+02 *vfill,exp_I(2,4),data,1.004e+05 *vfill,exp_I(2,5),data,1.327e+05 *vfill,exp_I(2,6),data,1.659e+05 *vfill,exp_J(2,1),data,1.749e+03 *vfill,exp_J(2,2),data,1.990e+03 *vfill,exp_J(2,3),data,9.465e+02 *vfill,exp_J(2,4),data,1.004e+05 *vfill,exp_J(2,5),data,1.327e+05 *vfill,exp_j(2,6),data,1.659e+05 /com, Element #37 /com,************* *vfill,exp_I(3,1),data,6.829e+02 *vfill,exp_I(3,2),data,2.581e+02 *vfill,exp_I(3,3),data,1.2627e+03 *vfill,exp_I(3,4),data,9.236e+04 *vfill,exp_I(3,5),data,4.912e+04 *vfill,exp_I(3,6),data,1.087e+05 *vfill,exp_J(3,1),data,1.187e+03 *vfill,exp_J(3,2),data,2.581e+02 *vfill,exp_J(3,3),data,8.042e+02 *vfill,exp_J(3,4),data,1.948e+04 *vfill,exp_J(3,5),data,7.822e+04 *vfill,exp_J(3,6),data,1.341e+05 /com,--------------------------------------------------------------------------/com, Error computation /com, ********************* *dim,elem_error_I,,3,6 *dim,elem_error_J,,3,6 *dim,elem_tab,,36,3 /com,============ /com, Node I /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_I(i,j),data,abs(elem_res_I(i,j)/exp_I(i,j)) *enddo *enddo /com,============ /com, Node J /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_J(i,j),data,abs(elem_res_J(i,j)/exp_J(i,j)) *enddo *enddo /com,-------------------------------------------------------------------------*do,i,1,3 cs=(i-1)*6 *do,j,1,6 n=cs+j *vfill,elem_tab(n,1),data,exp_I(i,j) *vfill,elem_tab(n,2),data,elem_res_I(i,j) *vfill,elem_tab(n,3),data,elem_error_I(i,j)


2395

NRC Piping Benchmarks Input Listings *enddo *do,j,1,6 m=cs+j+18 *vfill,elem_tab(m,1),data,exp_J(i,j) *vfill,elem_tab(m,2),data,elem_res_J(i,j) *vfill,elem_tab(m,3),data,elem_error_J(i,j) *enddo *enddo save,table_3 /com,------------------------------------------------------------------------/com, /out, /com /com,----------------vm-nr1677-1-6a-a Results Verification--------------------------/com, /nopr resume,table_1 /gopr /out,vm-nr1677-1-6a-a,vrt /com, /com, ============================================= /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, ============================================= /com, /com, Mode | Expected | Mechanical APDL | /com,

Ratio



Ratio

*vwrite,label2(1,1),value(1,1),value(1,2),value(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,2),value(2,1),value(2,2),value(2,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,3),value(3,1),value(3,2),value(3,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,4),value(4,1),value(4,2),value(4,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,5),value(5,1),value(5,2),value(5,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,6),value(6,1),value(6,2),value(6,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com,

2396



/com,------------------------------------------------------------------------/com, /nopr resume,table_3 /gopr /com, /com,=============================================== /com, COMPARISON OF ELEMENT FORCES AND MOMENTS /com, WITH EXPECTED RESULTS /com,=============================================== /com, /com,-----------------------------------------------/com, Note: Element Forces and Moments along Y & Z /com, directions are flipped between Mechanical APDL /com, and NRC results /com,-----------------------------------------------/com, /com,


Ratio


/com, /com,


2397

NRC Piping Benchmarks Input Listings /com,******************************************************************* /com,******************************************************************* /com, /com, /out, *list,vm-nr1677-1-6a-a,vrt finish

vm-nr1677-1-7a-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-1-7a-a /title,vm-nr1677-1-7a-a,NRC Piping Benchmark Problems,Volume 1,Problem 7 /com,**************************************************************************** /com, /com, Reference: Piping Benchmark Problems /com, NUREC/CR--1677-Vol.1 /com, P.Bezier, M.Hartzman, M.Reich /com, August 1980 /com, /com, /com, Element used: Pipe16, Pipe18, Mass21 and Combin14 /com, /com, Results comparsion: /com, The following results are compared against NRC piping benchmark values /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum nodal displacements and rotations obtained from spectrum solution. /com, 3. Element forces/moments obtained from spectrum solution. /com,**************************************************************************** /out,scratch /prep7 et,1,pipe16 et,2,pipe16 keyopt,2,1,1 et,3,pipe16 keyopt,3,4,1 et,4,pipe16 keyopt,4,1,1 keyopt,4,4,1 et,5,pipe16 keyopt,5,4,6 et,6,pipe16 keyopt,6,1,1 keyopt,6,4,6 et,7,pipe18 keyopt,7,3,1 et,8,pipe18 keyopt,8,1,1 keyopt,8,3,1 et,9,mass21 et,10,combin14 et,11,combin14 keyopt,11,3,1

! Element 1 - PIPE16 ! Element 2 - PIPE16 ! Diametral Temperature Gradient ! Element 3 - PIPE16 ! Valve ! Element 4 - PIPE16 ! Diametral Temperature Gradient ! Valve ! Element 5 - PIPE16 ! Tee Branch ! Element 6 - PIPE16 ! Diametral Temperature Gradient ! Tee Branch ! Element 7 - PIPE18 ! Use ANSYS Flexibility Factor with pressure term ! Element 8 - PIPE18 ! Diametral Temperature Gradient ! Use ANSYS Flexibility Factor with pressure term ! Element 9 - MASS21 ! Element 10 - COMBIN14 ! Element 11 - COMBIN14 ! Torsional Spring

/com,---------------------------------------------------------------------------/com, Real Constants /com,**************** r, r, r, r, r,

2398

1, 2, 3, 4, 5,

1.00000000, 4.50000000, 4.50000000, 3.50000000, 3.50000000,

0.000000000, 0.337000000, 0.337000000, 0.300000000, 0.300000000,

0.000000000 0.000000000 6.000000000 0.000000000 4.500000000


vm-nr1677-1-7a-a Input Listing r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r,

6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24,

0.47179000, 0.37604000, 0.40399000, 0.35016000, 0.22179000, 0.33799000, 0.14441000, 0.26889000, 0.29011000, 0.12733000, 0.22386000, 0.20990000, 0.28620000, 0.19358000, 0.18737000, 0.31366000, 0.29736000, 1.00000E09, 1.00000E11,

0.471790000, 0.376040000, 0.403990000, 0.350160000, 0.221790000, 0.337990000, 0.144410000, 0.268890000, 0.290110000, 0.127330000, 0.223860000, 0.209900000, 0.286200000, 0.193580000, 0.187370000, 0.313660000, 0.297360000, 0.000000000, 0.000000000,

0.471790000 0.376040000 0.403990000 0.350160000 0.221790000 0.337990000 0.144410000 0.268890000 0.290110000 0.127330000 0.223860000 0.209900000 0.286200000 0.193580000 0.187370000 0.313660000 0.297360000 0.000000000 0.000000000

/com,---------------------------------------------------------------------------/com, Nodes /com,******* n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n,

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47,

0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, -6.00000000, -21.9600000, -57.9600000, -117.000000, -165.000000, -139.680000, -141.000000, -141.000000, -141.000000, -141.000000, -136.500000, -122.460000, -97.4400000, -92.9400000, -92.9400000, -92.9400000, -213.000000, -255.000000, -259.080000, -277.680000, -279.000000, -279.000000, -279.000000, -279.000000, -274.500000, -260.460000, -235.440000, -230.940000, -230.940000, -230.940000, -263.040000, -315.000000, -375.000000, -412.500000, -417.000000, -417.000000,

0.00000000, -6.00000000, -12.0000000, -12.0000000, -12.0000000, -18.0000000, -36.0000000, -65.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -75.5400000, -91.0800000, -107.040000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -75.5400000, -91.0800000, -107.040000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000,

0.00000000 0.00000000 -6.00000000 -38.0400000 -54.0000000 -60.0000000 -60.0000000 -60.0000000 -54.0000000 -36.0000000 -6.00000000 0.00000000 0.00000000 0.00000000 0.00000000 0.00000000 -22.6800000 -25.8600000 -46.5600000 -82.5600000 -102.060000 -106.560000 -106.560000 -106.560000 -106.560000 -106.560000 -106.560000 0.00000000 0.00000000 0.00000000 -22.6800000 -25.8600000 -46.5600000 -82.5600000 -102.060000 -106.560000 -106.560000 -106.560000 -106.560000 -106.560000 -106.560000 0.00000000 0.00000000 0.00000000 0.00000000 -4.50000000 -18.1200000


2399

NRC Piping Benchmarks Input Listings n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n,

48, 49, 50, 51, 52, 53, 54, 55, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170,

-417.000000, -417.000000, -412.500000, -398.460000, -373.440000, -368.940000, -368.940000, -368.940000, 0.00000000, 0.00000000, 0.00000000, -6.00000000, -136.500000, -97.4400000, -136.500000, -274.500000, -235.440000, -274.500000, -412.500000, -412.500000, -373.440000, 0.00000000, -141.000000, -279.000000, -417.000000, -21.9600000, -375.000000, -93.9400000, -93.9400000, -92.9400000, -92.9400000, -92.9400000, -92.9400000, -214.000000, -214.000000, -213.000000, -213.000000, -213.000000, -213.000000, -231.940000, -231.940000, -230.940000, -230.940000, -230.940000, -230.940000, -369.940000, -369.940000, -368.940000, -368.940000, -368.940000, -368.940000,

-71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -75.5400000, -91.0800000, -107.040000, -6.00000000, -18.0000000, -65.0400000, -71.0400000, -71.0400000, -75.5400000, -71.0400000, -71.0400000, -75.5400000, -71.0400000, -71.0400000, -71.0400000, -75.5400000, -37.0000000, -72.0400000, -72.0400000, -72.0400000, -72.0400000, -72.0400000, -107.040000, -107.040000, -108.040000, -108.040000, -107.040000, -107.040000, -71.0400000, -71.0400000, -72.0400000, -72.0400000, -71.0400000, -71.0400000, -107.040000, -107.040000, -108.040000, -108.040000, -107.040000, -107.040000, -107.040000, -107.040000, -108.040000, -108.040000, -107.040000, -107.040000,

-78.1200000 -102.180000 -106.680000 -106.680000 -106.680000 -106.680000 -106.680000 -106.680000 -6.00000000 -54.0000000 -54.0000000 -6.00000000 -102.060000 -106.560000 -25.8640000 -102.060000 -106.560000 -25.8640000 -4.50000000 -102.180000 -106.680000 -60.0000000 -82.5600000 -82.5600000 -78.1200000 0.00000000 0.00000000 -106.560000 -106.560000 -106.560000 -106.560000 -107.560000 -107.560000 0.00000000 0.00000000 0.00000000 0.00000000 -1.00000000 -1.00000000 -106.560000 -106.560000 -106.560000 -106.560000 -107.560000 -107.560000 -106.680000 -106.680000 -106.680000 -106.680000 -107.680000 -107.680000

/com,---------------------------------------------------------------------------/com, Material Properties /com,********************* mp,ex,1,2.7e7 mp,nuxy,1,.3 mp,ex,2,8.1e7 mp,nuxy,2,.3 /com,---------------------------------------------------------------------------/com, Straight Pipe (Tangent Elements) /com,********************************** mat,1 type,1 real,2 en,1,1,2

2400


vm-nr1677-1-7a-a Input Listing en,3,3,4 en,6,6,7 en,7,7,8 en,9,9,10 en,10,10,11 en,13,13,14 en,27,16,28 en,41,30,42 /com,----------------mat,1 type,1 real,4 en,17,18,19 en,18,19,20 en,19,20,21 en,22,23,24 en,24,25,26 en,25,26,27 en,31,32,33 en,32,33,34 en,33,34,35 en,36,37,38 en,38,39,40 en,42,42,43 en,43,43,44 en,44,44,45 en,46,46,47 en,47,47,48 en,48,48,49 en,51,51,52 en,53,53,54 /com,----------------mat,1 type,5 real,2 en,14,14,15 en,15,15,16 en,28,28,29 en,29,29,30 /com,----------------mat,1 type,5 real,4 en,16,15,17 en,30,29,31 /com,----------------mat,2 type,1 real,4 en,25,26,27 en,39,40,41 en,54,54,55 /com,----------------mat,2 type,3 real,2 en,4,4,5 en,12,12,13 /com,----------------mat,2


2401

NRC Piping Benchmarks Input Listings type,3 real,4 en,21,22,23 en,35,36,37 en,50,50,51

/com, Pipe Bend Elements /com,******************** mat,1 type,7 real,3 en,2,2,3,68 en,5,5,6,69 en,8,8,9,70 en,11,11,12,71 /com,----------------mat,1 type,7 real,5 en,20,21,22,72 en,23,24,25,73 en,26,17,18,74 en,34,35,36,75 en,37,38,39,76 en,40,31,32,77 en,45,45,46,78 en,49,49,50,79 en,52,52,53,80

/com, *Spring Elements* /com,******************* mat,1 type,10 real,1 en,141,7,141 en,142,20,142 en,143,34,143 en,144,48,144 /com,----------------mat,1 type,10 real,23 en,145,13,145 en,146,44,146 en,147,27,147 en,149,27,149 en,151,27,151 en,153,28,153 en,155,28,155 en,157,28,157 en,159,41,159 en,161,41,161 en,163,41,163 en,165,55,165 en,167,55,167 en,169,55,169 /com,----------------mat,1 type,11 real,24 en,148,27,148 en,150,27,150

2402


vm-nr1677-1-7a-a Input Listing en,152,27,152 en,154,28,154 en,156,28,156 en,158,28,158 en,160,41,160 en,162,41,162 en,164,41,164 en,166,55,166 en,168,55,168 en,170,55,170

/com, Mass Elements /com,*************** type,9 real,6 en,67,4 real,7 en,68,7 real,8 en,69,10 real,9 en,70,13 real,10 en,71,14 real,11 en,72,15 real,12 en,73,19 real,13 en,74,20 real,14 en,75,23 real,15 en,76,26 real,16 en,77,16 real,17 en,78,28 real,18 en,79,29 real,12 en,80,33 real,11 en,81,34 real,14 en,82,37 real,15 en,83,40 real,19 en,84,43 real,20


2403

NRC Piping Benchmarks Input Listings en,85,44 real,20 en,86,47 real,21 en,87,48 real,22 en,88,51 real,15 en,89,54 /com,---------------------------------------------------------------------------/com, Constraints /com,************* d,1,all,0 d,141,all,0 d,142,all,0 d,143,all,0 d,144,all,0 d,145,all,0 d,146,all,0 d,147,all,0 d,148,all,0 d,149,all,0 d,150,all,0 d,151,all,0 d,152,all,0 d,153,all,0 d,154,all,0 d,155,all,0 d,156,all,0 d,157,all,0 d,158,all,0 d,159,all,0 d,160,all,0 d,161,all,0 d,162,all,0 d,163,all,0 d,164,all,0 d,165,all,0 d,166,all,0 d,167,all,0 d,168,all,0 d,169,all,0 d,170,all,0 allsel,all save finish /com,---------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal modopt,lanb,22 mxpand,,,,yes solve finish /com, /com,===========================

2404


vm-nr1677-1-7a-a Input Listing /com, Compare Modal Frequencies /com,=========================== /com, *dim,label,,22 *dim,freq_ans,,22 *dim,freq_exp,,22 *dim,freq_err,,22 *do,i,1,22 label(i)=i *enddo *do,i,1,22 *get,freq_ans(i),mode,i,freq *enddo *vfill,freq_exp,data,0.5034e+01,0.7813e+01,0.8193e+01,0.8977e+01,0.9312e+01,0.9895e+01,0.1322e+02 *vfill,freq_exp(8),data,0.1496e+02,0.1507e+02,0.1775e+02,0.1821e+02,0.2290e+02,0.2502e+02,0.2585e+02 *vfill,freq_exp(15),data,0.2694e+02,0.2813e+02,0.3030e+02,0.3522e+02,0.3710e+02,0.4261e+02,0.4442e+02 *vfill,freq_exp(22),data,0.4809e+02 *status,freq_ans *status,freq_exp *do,i,1,22 freq_err(i)=abs(freq_ans(i)/freq_exp(i)) *enddo *status,freq_err save,table_1 finish /com,---------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr ! Perform Spectrum Analysis spopt,sprs ! Single Point Excitation Response Spectrum dmprat,0.02 ! Constant Damping Ratio grp,0.001 ! Group Modes based on Significance level svtyp,2 ! Seismic Acceleration Response Loading sed,1 ! Excitation in X direction freq freq,0.83,0.91,1,1.11,1.24,1.72,2,2.86,3.23 freq,5,6,7,7.8,8.2,9,9.3,10,100 sv,0.02,27.05,38.64,69.55,173.88,656.88,734.16,212.52,135.24,637.56 sv,0.02,329.5,236.4,169.9,129.0,111.54,81.26,71.25,50.23,50.23 solve sed,,1 ! Excitation in Y direction freq freq,0.91,1.25,1.43,1.67,1.92,2.38,2.70,3.13,4.55 freq,5,6,7,7.8,8.2,9,9.3,10,100 sv,0.02,46.37,77.28,115.92,231.84,985.32,830.76,830.76,386.4,115.92 sv,0.02,109.48,98.75,91.08,86.36,84.35,80.86,79.70,77.28,77.28 solve sed,,,1 ! Excitation in Z direction freq freq,0.83,0.91,1,1.11,1.24,1.72,2,2.86,3.23 freq,5,6,7,7.8,8.2,9,9.3,10,100 sv,0.02,27.05,38.64,69.55,173.88,656.88,734.16,212.52,135.24,637.56 sv,0.02,329.5,236.4,169.9,129.0,111.54,81.26,71.25,50.23,50.23 solve fini


2405


/com,---------------------------------------------------------------------------/post1 /input,,mcom /com, *Labels* *dim,label2,char,1,6 *dim,label3,char,6,1 *dim,label4,char,6,1 /com,------------------------label2(1,1) label2(1,2) label2(1,3) label2(1,4) label2(1,5) label2(1,6)

= = = = = =


/com,----------------------label3(1,1)='PX(I)' label3(2,1)='VY(I)' label3(3,1)='VZ(I)' label3(4,1)='TX(I)' label3(5,1)='MY(I)' label3(6,1)='MZ(I)' /com,----------------------label4(1,1)='PX(J)' label4(2,1)='VY(J)' label4(3,1)='VZ(J)' label4(4,1)='TX(J)' label4(5,1)='MY(J)' label4(6,1)='MZ(J)' /com,----------------------------------/com, *======================================================== /com, * Maximum nodal displacements and rotations comparsion /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,8,U,X *GET,AdisY,NODE,8,U,Y *GET,AdisZ,NODE,11,U,Z *GET,ArotX,NODE,7,ROT,X *GET,ArotY,NODE,14,ROT,Y *GET,ArotZ,NODE,50,ROT,Z /com, Expected results from NRC manual /com, ********************************* *SET,EdisX,0.84658E-01 *SET,EdisY,0.24339 *SET,EdisZ,0.34208 *SET,ErotX,0.57840E-02 *SET,ErotY,0.21064E-02 *SET,ErotZ,0.12406E-02 /com, Error computation /com, ********************* ERdisX=ABS((AdisX)/(EdisX)) ERdisY=ABS((AdisY)/(EdisY)) ERdisZ=ABS((AdisZ)/(EdisZ)) ERrotX=ABS((ArotX)/(ErotX)) ERrotY=ABS((ArotY)/(ErotY))

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vm-nr1677-1-7a-a Input Listing ERrotZ=ABS((ArotZ)/(ErotZ)) *dim,value,,6,3 *vfill,value(1,1),data,EdisX *vfill,value(1,2),data,AdisX *vfill,value(1,3),data,ERdisX *vfill,value(2,1),data,EdisY *vfill,value(2,2),data,AdisY *vfill,value(2,3),data,ERdisY *vfill,value(3,1),data,EdisZ *vfill,value(3,2),data,AdisZ *vfill,value(3,3),data,ERdisZ *vfill,value(4,1),data,ErotX *vfill,value(4,2),data,ArotX *vfill,value(4,3),data,ERrotX *vfill,value(5,1),data,ErotY *vfill,value(5,2),data,ArotY *vfill,value(5,3),data,ERrotY *vfill,value(6,1),data,ErotZ *vfill,value(6,2),data,ArotZ *vfill,value(6,3),data,ERrotZ save,table_2 /com,----------------------------------------------------------/com, *======================================================== /com, * Element Forces and Moments Comparison /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *dim,elem_res_I,,3,6 *dim,elem_res_J,,3,6 *dim,pxi,,3 *dim,vyi,,3 *dim,vzi,,3 *dim,txi,,3 *dim,myi,,3 *dim,mzi,,3 *dim,pxj,,3 *dim,vyj,,3 *dim,vzj,,3 *dim,txj,,3 *dim,myj,,3 *dim,mzj,,3 esel,s,ename,,16 esel,a,ename,,18 /com,========== /com, Node I /com,========== /com, Element #1 /com,*********** *get,pxi(1,1),elem,1,smisc,1 *get,vyi(1,1),elem,1,smisc,2 *get,vzi(1,1),elem,1,smisc,3 *get,txi(1,1),elem,1,smisc,4 *get,myi(1,1),elem,1,smisc,5 *get,mzi(1,1),elem,1,smisc,6


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*vfill,elem_res_I(1,1),data,pxi(1,1) *vfill,elem_res_I(1,2),data,vyi(1,1) *vfill,elem_res_I(1,3),data,vzi(1,1) *vfill,elem_res_I(1,4),data,txi(1,1) *vfill,elem_res_I(1,5),data,myi(1,1) *vfill,elem_res_I(1,6),data,mzi(1,1) /com, Element #38 /com,************* *get,pxi(2,1),elem,38,smisc,1 *get,vyi(2,1),elem,38,smisc,2 *get,vzi(2,1),elem,38,smisc,3 *get,txi(2,1),elem,38,smisc,4 *get,myi(2,1),elem,38,smisc,5 *get,mzi(2,1),elem,38,smisc,6 *vfill,elem_res_I(2,1),data,pxi(2,1) *vfill,elem_res_I(2,2),data,vyi(2,1) *vfill,elem_res_I(2,3),data,vzi(2,1) *vfill,elem_res_I(2,4),data,txi(2,1) *vfill,elem_res_I(2,5),data,myi(2,1) *vfill,elem_res_I(2,6),data,mzi(2,1) /com, Element #49 /com,************* *get,pxi(3,1),elem,49,smisc,1 *get,vyi(3,1),elem,49,smisc,2 *get,vzi(3,1),elem,49,smisc,3 *get,txi(3,1),elem,49,smisc,4 *get,myi(3,1),elem,49,smisc,5 *get,mzi(3,1),elem,49,smisc,6 *vfill,elem_res_I(3,1),data,pxi(3,1) *vfill,elem_res_I(3,2),data,vyi(3,1) *vfill,elem_res_I(3,3),data,vzi(3,1) *vfill,elem_res_I(3,4),data,txi(3,1) *vfill,elem_res_I(3,5),data,myi(3,1) *vfill,elem_res_I(3,6),data,mzi(3,1)

/com,========== /com, Node J /com,========== /com, Element #1 /com,************ *get,pxj(1,1),elem,1,smisc,7 *get,vyj(1,1),elem,1,smisc,8 *get,vzj(1,1),elem,1,smisc,9 *get,txj(1,1),elem,1,smisc,10 *get,myj(1,1),elem,1,smisc,11 *get,mzj(1,1),elem,1,smisc,12 *vfill,elem_res_J(1,1),data,pxj(1,1) *vfill,elem_res_J(1,2),data,vyj(1,1) *vfill,elem_res_J(1,3),data,vzj(1,1) *vfill,elem_res_J(1,4),data,txj(1,1) *vfill,elem_res_J(1,5),data,myj(1,1) *vfill,elem_res_J(1,6),data,mzj(1,1) /com, Element #38 /com,************* *get,pxj(2,1),elem,38,smisc,7 *get,vyj(2,1),elem,38,smisc,8 *get,vzj(2,1),elem,38,smisc,9 *get,txj(2,1),elem,38,smisc,10 *get,myj(2,1),elem,38,smisc,11

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vm-nr1677-1-7a-a Input Listing *get,mzj(2,1),elem,38,smisc,12 *vfill,elem_res_J(2,1),data,pxj(2,1) *vfill,elem_res_J(2,2),data,vyj(2,1) *vfill,elem_res_J(2,3),data,vzj(2,1) *vfill,elem_res_J(2,4),data,txj(2,1) *vfill,elem_res_J(2,5),data,myj(2,1) *vfill,elem_res_J(2,6),data,mzj(2,1) /com, Element #49 /com,************* *get,pxj(3,1),elem,49,smisc,7 *get,vyj(3,1),elem,49,smisc,8 *get,vzj(3,1),elem,49,smisc,9 *get,txj(3,1),elem,49,smisc,10 *get,myj(3,1),elem,49,smisc,11 *get,mzj(3,1),elem,49,smisc,12 *vfill,elem_res_J(3,1),data,pxj(3,1) *vfill,elem_res_J(3,2),data,vyj(3,1) *vfill,elem_res_J(3,3),data,vzj(3,1) *vfill,elem_res_J(3,4),data,txj(3,1) *vfill,elem_res_J(3,5),data,myj(3,1) *vfill,elem_res_J(3,6),data,mzj(3,1) /com,---------------------------------------------------------------------------/com, Results from NRC benchmarks /com, *************************** *dim,exp_I,,3,6 *dim,exp_J,,3,6 /com, Element #1 /com,************ *vfill,exp_I(1,1),data,2.364e+02 *vfill,exp_I(1,2),data,8.072e+01 *vfill,exp_I(1,3),data,2.605e+02 *vfill,exp_I(1,4),data,4.947e+03 *vfill,exp_I(1,5),data,2.217e+04 *vfill,exp_I(1,6),data,2.106e+03 *vfill,exp_J(1,1),data,2.360e+02 *vfill,exp_J(1,2),data,8.072e+01 *vfill,exp_J(1,3),data,2.665e+02 *vfill,exp_J(1,4),data,4.947e+03 *vfill,exp_J(1,5),data,2.059e+04 *vfill,exp_J(1,6),data,1.656e+03 /com, Element #38 /com,************* *vfill,exp_I(2,1),data,5.036e+01 *vfill,exp_I(2,2),data,2.762e+01 *vfill,exp_I(2,3),data,2.853e+01 *vfill,exp_I(2,4),data,4.820e+02 *vfill,exp_I(2,5),data,9.669e+01 *vfill,exp_I(2,6),data,1.625e+03 *vfill,exp_J(2,1),data,5.036e+01 *vfill,exp_J(2,2),data,2.762e+01 *vfill,exp_J(2,3),data,2.853e+01 *vfill,exp_J(2,4),data,4.620e+02 *vfill,exp_J(2,5),data,4.280e+02 *vfill,exp_j(2,6),data,1.796e+03 /com, Element #49 /com,************* *vfill,exp_I(3,1),data,9.427e+01


2409

NRC Piping Benchmarks Input Listings *vfill,exp_I(3,2),data,3.529e+01 *vfill,exp_I(3,3),data,2.637e+01 *vfill,exp_I(3,4),data,2.354e+02 *vfill,exp_I(3,5),data,2.491e+03 *vfill,exp_I(3,6),data,4.466e+02 *vfill,exp_J(3,1),data,2.607e+01 *vfill,exp_J(3,2),data,3.529e+01 *vfill,exp_J(3,3),data,9.427e+01 *vfill,exp_J(3,4),data,4.692e+02 *vfill,exp_J(3,5),data,2.176e+03 *vfill,exp_J(3,6),data,1.340e+02 /com,--------------------------------------------------------------------------/com, Error computation /com, ********************* *dim,elem_error_I,,3,6 *dim,elem_error_J,,3,6 *dim,elem_tab,,36,3 /com,============ /com, Node I /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_I(i,j),data,abs(elem_res_I(i,j)/exp_I(i,j)) *enddo *enddo /com,============ /com, Node J /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_J(i,j),data,abs(elem_res_J(i,j)/exp_J(i,j)) *enddo *enddo /com,-------------------------------------------------------------------------*do,i,1,3 cs=(i-1)*6 *do,j,1,6 n=cs+j *vfill,elem_tab(n,1),data,exp_I(i,j) *vfill,elem_tab(n,2),data,elem_res_I(i,j) *vfill,elem_tab(n,3),data,elem_error_I(i,j) *enddo *do,j,1,6 m=cs+j+18 *vfill,elem_tab(m,1),data,exp_J(i,j) *vfill,elem_tab(m,2),data,elem_res_J(i,j) *vfill,elem_tab(m,3),data,elem_error_J(i,j) *enddo *enddo save,table_3 /com,------------------------------------------------------------------------/com, /out, /com /com,-------------------vm-nr1677-01-7a Results Verification-------------------/com,

2410


vm-nr1677-1-7a-a Input Listing /nopr resume,table_1 /gopr /out,vm-nr1677-1-7a-a,vrt /com, /com, ============================================= /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, ============================================= /com, /com, Mode | Expected | Mechanical APDL | /com,

Ratio



Ratio

*vwrite,label2(1,1),value(1,1),value(1,2),value(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,2),value(2,1),value(2,2),value(2,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,3),value(3,1),value(3,2),value(3,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,4),value(4,1),value(4,2),value(4,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,5),value(5,1),value(5,2),value(5,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,6),value(6,1),value(6,2),value(6,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,------------------------------------------------------------------------/nopr resume,table_3 /gopr /com, /com,==================================================== /com, COMPARISON OF ELEMENT FORCES AND MOMENTS /com, WITH EXPECTED RESULTS /com,==================================================== /com, /com,---------------------------------------------------/com, Note: 1. Element and Node Numbers are different /com, from that in the manual /com, /com, 2. Element Forces and Moments along Y & Z /com, directions are flipped between Mechanical APDL /com, and NRC results


2411

NRC Piping Benchmarks Input Listings /com,---------------------------------------------------/com, /com,


Ratio



vm-nr1677-2-1a-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-2-1a-a /title,vm-nr1677-2-1a-a,NRC piping benchmarks problems,Volume II,Problem 1a

2412


vm-nr1677-2-1a-a Input Listing /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com,

*************************************************************************** Reference: Piping benchmark problems,Dynamic analysis independant support motion response spectrum method, P. Bezler, M. Subudhi and M.Hartzman, NUREG/CR--1677-Vol.2, August 1985.

Elements used: Pipe16, Pipe18, Combin14 Results comparsion: The following results are compared against NRC piping benchmark values 1. Frequencies obtained from modal solution. 2. Maximum nodal displacements and rotations obtained from spectrum solution. 3. Element forces/moments obtained from spectrum solution. 4. Reaction forces obtained from spectrum solution. *******************************************************************************

/out,scratch /PREP7 YoungModulus1 = .258e+8 Nu = 0.3 ShearModulus1 = YoungModulus1/(2*(1+Nu)) WMass=1.042868e-03 WTick=0.216 OD=3.5 RADCUR=48.003 temp=60 maxm=15

et,1,pipe16 et,2,pipe18 et,3,combin14 keyopt,3,2,1 et,4,combin14, keyopt,4,2,2 et,5,combin14 keyopt,5,2,3 et,6,combin14 keyopt,6,2,1 et,7,combin14 keyopt,7,2,2

! ! ! ! ! ! ! ! !

Young's Modulus Poissons ratio Shear Modulus Density Wall Thickness Outer Diameter Radius curvature Temperature Number of modes to extract

! Straight pipe elements ! Curved pipe elements ! Spring-damper elements ! UX Degree Of Freedom ! Spring-damper elements ! UY Degree Of Freedom ! Spring-damper elements ! UZ Degree Of Freedom ! Spring-damper elements ! UX Degree Of Freedom ! Spring-damper elements ! UY Degree Of Freedom

/com, /com, Real Constants /com,**************** r,1,OD,WTick r,2,OD,WTick,RADCUR r,3,0.2e+8 r,4,0.2e+8 r,5,0.2e+8 r,6,0.2e+5 r,7,0.2e+5

! ! ! ! !

Stiffness Stiffness Stiffness Stiffness Stiffness

/com,---------------------------------------------------------------------------/com, /com, Material Properties /com,********************* mp,ex,1,YoungModulus1 mp,nuxy,1,Nu mp,gxy,1,ShearModulus1 mp,dens,1,WMass mp,ex,2,YoungModulus1 mp,nuxy,2,Nu mp,gxy,2,ShearModulus1


2413

NRC Piping Benchmarks Input Listings mp,dens,2,WMass /com,---------------------------------------------------------------------------/com, Nodes /com,******** n,1,0,0,0 n,2,0,12,0 n,3,35.687,60,32.110 n,4,55,60,49.5 n,5,74.329,60,66.882 n,6,110,12,99 n,7,110,0,99 n,8,110,-24,99, n,9,110,-48,99, n,10,110,-72,99 n,11,110,-96,99 n,12,110,-120,99 n,13,110,-144,99 n,14,110,-168,99 n,15,110,-198,99 n,16,110,-228,99 n,17,110,-252,99 n,18,110,-276,99 n,19,110,-300,99 n,20,110,-324,99 n,21,99.6,-349.4,99 n,22,89.2,-374.8,99 n,23,78.8,-400,99 n,24,68.4,-425.6,99 n,25,58,-451,99 n,26,58,-475,99 n,27,58,-487,99 n,28,103.537,-535,114.179 n,29,124.269,-535,121.1 n,30,145,-535,128 n,31,184.975,-535,123.615 n,32,214.8,-536,102.8 n,33,254.585,-535,81.849 n,34,279.312,-535,75 n,35,331,-535,75 n,36,383,-535,75 /com, /com, Elastic support Nodes /com,*********************** n,37,10,0,0 n,38,0,10,0 n,39,0,0,10 n,40,55,70,49.5 n,41,110,0,109 n,42,120,0,99 n,43,110,-168,109 n,44,120,-168,109 n,45,110,-324,109 n,46,120,-324,99 n,47,58,-475,109 n,48,68,-475,99 n,49,103.537,-545,114.179 n,50,103.537,-535,104.179 n,51,393,-535,75 n,52,383,-545,75 n,53,383,-535,85 /com,---------------------------------------------------------------------------/com, /com, Straight Pipe (Tangent) Elements /com,**********************************

2414


vm-nr1677-2-1a-a Input Listing mat,1 type,1 real,1

! Material ID 1 ! Element Type 1 ! Real Constant 1

e, 1, 2 e, 3, 4 e, 4, 5 e, 6, 7 e, 7, 8 e, 8, 9 e, 9,10 e,10,11 e,11,12 e,12,13 e,13,14 e,14,15 e,15,16 e,16,17 e,17,18 e,18,19 e,19,20 e,20,21 e,21,22 e,22,23 e,23,24 e,24,25 e,25,26 e,26,27 e,28,29 e,29,30 e,31,32 e,32,33 e,34,35 e,35,36 /com, /com, Pipe Bend Elements /com,******************** mat,2 type,2 real,2 e,2,3,4 e,5,6,4 e,27,28,26 e,30,31,29 e,33,34,32

/com, Elastic supports and anchors /com,****************************** /com, rotate nodes with less than 3 supports /com, wplane,,nx(4),ny(4),nz(4),nx(40),ny(40),nz(40),nx(3),ny(3),nz(3) cswplane,11,0 nrotat,4 nrotat,40 csys,0 wplane,,nx(7),ny(7),nz(7),nx(41),ny(41),nz(41),nx(42),ny(42),nz(42) cswplane,12,0 nrotat,7 nrotat,41,42 csys,0 wplane,,nx(14),ny(14),nz(14),nx(43),ny(43),nz(43),nx(44),ny(44),nz(44) cswplane,13,0 nrotat,14 nrotat,43,44


2415

NRC Piping Benchmarks Input Listings csys,0 wplane,,nx(20),ny(20),nz(20),nx(45),ny(45),nz(45),nx(46),ny(46),nz(46) cswplane,14,0 nrotat,20 nrotat,45,46 csys,0 wplane,,nx(26),ny(26),nz(26),nx(47),ny(47),nz(47),nx(48),ny(48),nz(48) cswplane,15,0 nrotat,26 nrotat,47,48 csys,0 wplane,,nx(28),ny(28),nz(28),nx(49),ny(49),nz(49),nx(50),ny(50),nz(50) cswplane,16,0 nrotat,28 nrotat,49,50 csys,0 type,3 real,3 e,1,37 e,36,51 e,4,40 e,7,41 e,26,47 e,28,49 type,4 real,4 e,1,38 e,36,52 e,7,42 e,26,48 e,28,50 type,5 real,5 e,1,39 e,36,53 type,6 real,6 e,14,43 e,20,45 type,7 real,7 e,14,44 e,20,46 /com,---------------------------------------------------------------------------/com, /com, Constraints /com,************* nsel,,node,,37,53 d,all,all allsel d,1,rotx,,,,,roty,rotz d,36,rotx,,,,,roty,rotz allsel,all fini /com,---------------------------------------------------------------------------/com /com,============== /com, Modal solve

2416


vm-nr1677-2-1a-a Input Listing /com,============== /com, /solution antype,modal ! Perform Modal Analysis modopt,lanb,maxm lumpm,on ! Use Lumped Mass Approximation mxpand,maxm,,,yes ! Expand solution with Element Calculations ON solve /com,======================== /com, Frequency Comparison /com,======================== *dim,Amode,ARRAY,maxm *dim,Emode,ARRAY,maxm *dim,ERmode,ARRAY,maxm *dim,moden,ARRAY,maxm *do,i,1,maxm *GET, Amode(i), MODE, i, FREQ *enddo *VFILL,Emode,DATA,6.042,6.256,7.76,8.943,12.444,12.83,14.303,15.486,16.371,18.543 *VFILL,Emode(11),DATA,19.499,23.243,24.105,32.636,33.837 *do,i,1,maxm ERmode(i)=ABS((Amode(i))/(Emode(i))) moden(i)=i *enddo save,table_1 finish /com,---------------------------------------------------------------------------/com, /com,================== /com, Spectrum solve /com,================== /com, /solution antype,spectrum ! Perform Spectrum Analysis spopt,sprs,15 ! Single Point Excitation Response Spectrum srss,0.0 ! SRSS mode combination gval = 386.4 svtyp, 2, gval freq, 2.5 , 5.0 , 8.0, 12.35, 13.51, 16.95, sv,, 2.275, 2.275, 1.0, 0.8, 0.925, 0.925, freq, 34.48 sv,, 0.875 sed,1,0,0 ! Excitation in X direction SOLVE svtyp, 2, gval freq freq, 2.5 , 5.0 , 8.0, 12.35, 13.51, 16.95, sv,, 1.517, 1.517, 0.667, 0.534, 0.617, 0.617, freq, 34.48 sv,, 0.584 sed,0,1,0 ! Excitation in Y direction SOLVE fini

20.83, 0.8 ,

23.25, 1.0 ,

29.41 1.0

20.83, 23.25, 0.534, 0.667,

29.41 0.667

/com,---------------------------------------------------------------------------/post1 /input,,mcom


2417

NRC Piping Benchmarks Input Listings /com,---------------------------------------------------------------------------/com, Labels /com,******** *dim,label2,char,1,6 *dim,label3,char,6,1 *dim,label4,char,6,1 *dim,label5,char,5,1 /com,------------------------label2(1,1) label2(1,2) label2(1,3) label2(1,4) label2(1,5) label2(1,6)

= = = = = =


/com,------------------------label3(1,1)='PX(I)' label3(2,1)='VY(I)' label3(3,1)='VZ(I)' label3(4,1)='TX(I)' label3(5,1)='MY(I)' label3(6,1)='MZ(I)' /com,------------------------label4(1,1)='PX(J)' label4(2,1)='VY(J)' label4(3,1)='VZ(J)' label4(4,1)='TX(J)' label4(5,1)='MY(J)' label4(6,1)='MZ(J)' /com,------------------------label5(1,1)='38' label5(2,1)='40' label5(3,1)='46' label5(4,1)='50' label5(5,1)='53'

/com,----------------------------------------------------------------------------

/com, *======================================================== /com, * Maximum nodal displacements and rotations comparison /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,5,U,X *GET,AdisY,NODE,33,U,Y *GET,AdisZ,NODE,15,U,Z *GET,ArotX,NODE,32,ROT,X *GET,ArotY,NODE,32,ROT,Y *GET,ArotZ,NODE,5,ROT,Z /com, Expected results from NRC manual /com, ********************************* *SET,EdisX,5.86080e-02 *SET,EdisY,1.12744e-01 *SET,EdisZ,1.02848e-02 *SET,ErotX,1.46853e-03 *SET,ErotY,1.09722e-03 *SET,ErotZ,1.27548e-03

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/com, Error computation /com, ********************* ERdisX=ABS((AdisX)/(EdisX)) ERdisY=ABS((AdisY)/(EdisY)) ERdisZ=ABS((AdisZ)/(EdisZ)) ERrotX=ABS((ArotX)/(ErotX)) ERrotY=ABS((ArotY)/(ErotY)) ERrotZ=ABS((ArotZ)/(ErotZ)) *dim,value,,6,3 *vfill,value(1,1),data,EdisX *vfill,value(1,2),data,AdisX *vfill,value(1,3),data,ERdisX *vfill,value(2,1),data,EdisY *vfill,value(2,2),data,AdisY *vfill,value(2,3),data,ERdisY *vfill,value(3,1),data,EdisZ *vfill,value(3,2),data,AdisZ *vfill,value(3,3),data,ERdisZ *vfill,value(4,1),data,ErotX *vfill,value(4,2),data,ArotX *vfill,value(4,3),data,ERrotX *vfill,value(5,1),data,ErotY *vfill,value(5,2),data,ArotY *vfill,value(5,3),data,ERrotY *vfill,value(6,1),data,ErotZ *vfill,value(6,2),data,ArotZ *vfill,value(6,3),data,ERrotZ save,table_2 /com,----------------------------------------------------------/com, *======================================================== /com, * Element Forces and Moments Comparison /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *dim,elem_res_I,,2,6 *dim,elem_res_J,,2,6 *dim,pxi,,2 *dim,vyi,,2 *dim,vzi,,2 *dim,txi,,2 *dim,myi,,2 *dim,mzi,,2 *dim,pxj,,2 *dim,vyj,,2 *dim,vzj,,2 *dim,txj,,2 *dim,myj,,2 *dim,mzj,,2 esel,s,ename,,16 esel,a,ename,,18 /com,========== /com, Node I /com,==========


2419

NRC Piping Benchmarks Input Listings /com, Element #30 /com,************************ *get,pxi(1,1),elem,30,smisc,1 *get,vyi(1,1),elem,30,smisc,2 *get,vzi(1,1),elem,30,smisc,3 *get,txi(1,1),elem,30,smisc,4 *get,myi(1,1),elem,30,smisc,5 *get,mzi(1,1),elem,30,smisc,6 *vfill,elem_res_I(1,1),data,pxi(1,1) *vfill,elem_res_I(1,2),data,vyi(1,1) *vfill,elem_res_I(1,3),data,vzi(1,1) *vfill,elem_res_I(1,4),data,txi(1,1) *vfill,elem_res_I(1,5),data,myi(1,1) *vfill,elem_res_I(1,6),data,mzi(1,1) /com, Element #33 /com,************************* *get,pxi(2,1),elem,33,smisc,1 *get,vyi(2,1),elem,33,smisc,2 *get,vzi(2,1),elem,33,smisc,3 *get,txi(2,1),elem,33,smisc,4 *get,myi(2,1),elem,33,smisc,5 *get,mzi(2,1),elem,33,smisc,6 *vfill,elem_res_I(2,1),data,pxi(2,1) *vfill,elem_res_I(2,2),data,vyi(2,1) *vfill,elem_res_I(2,3),data,vzi(2,1) *vfill,elem_res_I(2,4),data,txi(2,1) *vfill,elem_res_I(2,5),data,myi(2,1) *vfill,elem_res_I(2,6),data,mzi(2,1)

/com,========== /com, Node J /com,========== /com, Element #30 /com,************************ *get,pxj(1,1),elem,30,smisc,7 *get,vyj(1,1),elem,30,smisc,8 *get,vzj(1,1),elem,30,smisc,9 *get,txj(1,1),elem,30,smisc,10 *get,myj(1,1),elem,30,smisc,11 *get,mzj(1,1),elem,30,smisc,12 *vfill,elem_res_J(1,1),data,pxj(1,1) *vfill,elem_res_J(1,2),data,vyj(1,1) *vfill,elem_res_J(1,3),data,vzj(1,1) *vfill,elem_res_J(1,4),data,txj(1,1) *vfill,elem_res_J(1,5),data,myj(1,1) *vfill,elem_res_J(1,6),data,mzj(1,1) /com, Element #33 /com,************************ *get,pxj(2,1),elem,33,smisc,7 *get,vyj(2,1),elem,33,smisc,8 *get,vzj(2,1),elem,33,smisc,9 *get,txj(2,1),elem,33,smisc,10 *get,myj(2,1),elem,33,smisc,11 *get,mzj(2,1),elem,33,smisc,12 *vfill,elem_res_J(2,1),data,pxj(2,1) *vfill,elem_res_J(2,2),data,vyj(2,1) *vfill,elem_res_J(2,3),data,vzj(2,1) *vfill,elem_res_J(2,4),data,txj(2,1) *vfill,elem_res_J(2,5),data,myj(2,1) *vfill,elem_res_J(2,6),data,mzj(2,1)

2420



allsel,all /com,---------------------------------------------------------------------------/com, Results from NRC benchmarks /com, *************************** *dim,exp_I,,2,6 *dim,exp_J,,2,6 /com, Element #35 /com,************* *vfill,exp_I(1,1),data,1.199e+02 *vfill,exp_I(1,2),data,5.663e+01 *vfill,exp_I(1,3),data,5.595e+01 *vfill,exp_I(1,4),data,5.958e+02 *vfill,exp_I(1,5),data,6.750e+02 *vfill,exp_I(1,6),data,6.062e+02 *vfill,exp_J(1,1),data,1.199e+02 *vfill,exp_J(1,2),data,5.663e+01 *vfill,exp_J(1,3),data,5.595e+01 *vfill,exp_J(1,4),data,5.958e+02 *vfill,exp_J(1,5),data,2.685e+03 *vfill,exp_J(1,6),data,3.329e+03 /com, Element #27 /com,************* *vfill,exp_I(2,1),data,1.837e+02 *vfill,exp_I(2,2),data,2.674e+01 *vfill,exp_I(2,3),data,1.204e+02 *vfill,exp_I(2,4),data,2.658e+02 *vfill,exp_I(2,5),data,1.308e+03 *vfill,exp_I(2,6),data,3.982e+02 *vfill,exp_J(2,1),data,1.204e+02 *vfill,exp_J(2,2),data,2.674e+01 *vfill,exp_J(2,3),data,1.837e+02 *vfill,exp_J(2,4),data,1.123e+03 *vfill,exp_J(2,5),data,3.095e+03 *vfill,exp_J(2,6),data,1.496e+03 /com,--------------------------------------------------------------------------/com, Error computation /com, ********************* *dim,elem_error_I,,2,6 *dim,elem_error_J,,2,6 *dim,elem_tab,,24,3 /com,============ /com, Node I /com,============ *do,i,1,2 *do,j,1,6 *vfill,elem_error_I(i,j),data,abs(elem_res_I(i,j)/exp_I(i,j)) *enddo *enddo /com,============ /com, Node J /com,============ *do,i,1,2 *do,j,1,6 *vfill,elem_error_J(i,j),data,abs(elem_res_J(i,j)/exp_J(i,j)) *enddo


2421

NRC Piping Benchmarks Input Listings *enddo /com,-------------------------------------------------------------------------*do,i,1,2 cs=(i-1)*6 *do,j,1,6 n=cs+j *vfill,elem_tab(n,1),data,exp_I(i,j) *vfill,elem_tab(n,2),data,elem_res_I(i,j) *vfill,elem_tab(n,3),data,elem_error_I(i,j) *enddo *do,j,1,6 m=cs+j+12 *vfill,elem_tab(m,1),data,exp_J(i,j) *vfill,elem_tab(m,2),data,elem_res_J(i,j) *vfill,elem_tab(m,3),data,elem_error_J(i,j) *enddo *enddo save,table_3 /com,------------------------------------------------------------------------------------

/com, ***************************** /com, Reaction forces comparision /com, ****************************** *dim,rf_tab,,5,3 /com, Solution obtained from Mechanical APDL /com, **************************** *GET,RFA38,NODE,38,RF,FY *GET,RFA40,NODE,40,RF,FX *GET,RFA46,NODE,46,RF,FY *GET,RFA50,NODE,50,RF,FY *GET,RFA53,NODE,53,RF,FZ /com, Expected results from NRC manual /com, ********************************* *SET,RFE38,107 *SET,RFE40,234 *SET,RFE46,78 *SET,RFE50,89 *SET,RFE53,56 /com, Error computation /com, ********************* ER38=ABS(RFA38/RFE38) ER40=ABS(RFA40/RFE40) ER46=ABS(RFA46/RFE46) ER50=ABS(RFA50/RFE50) ER53=ABS(RFA53/RFE53) *vfill,rf_tab(1,1),data,RFE38 *vfill,rf_tab(1,2),data,RFA38 *vfill,rf_tab(1,3),data,ER38 *vfill,rf_tab(2,1),data,RFE40 *vfill,rf_tab(2,2),data,RFA40 *vfill,rf_tab(2,3),data,ER40 *vfill,rf_tab(3,1),data,RFE46 *vfill,rf_tab(3,2),data,RFA46 *vfill,rf_tab(3,3),data,ER46 *vfill,rf_tab(4,1),data,RFE50

2422


vm-nr1677-2-1a-a Input Listing *vfill,rf_tab(4,2),data,RFA50 *vfill,rf_tab(4,3),data,ER50 *vfill,rf_tab(5,1),data,RFE53 *vfill,rf_tab(5,2),data,RFA53 *vfill,rf_tab(5,3),data,ER53 save,table_4 /com, /com, /com, --------------------vm-nr1677-2-1a-a Results Verification--------------------------/com, /nopr resume,table_1 /gopr /out,vm-nr1677-2-1a-a,vrt /com, =========================================== /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, =========================================== /com, /com, Mode | Expected | Mechanical APDL | /com,

Ratio

*VWRITE,moden(1),Emode(1),Amode(1),ERmode(1) (1X,F3.0,2X,F8.4,3X,F8.4,3X,F4.2,' ') /com, /com,------------------------------------------------------------------------/com, /nopr resume,table_2 /gopr /com, /com, ============================================================ /com, COMPARISON OF NODAL DISPLACEMENTS AND ROTATIONS /com, WITH EXPECTED RESULTS /com, ============================================================ /com, /com, /com,


Ratio

*vwrite,label2(1,1),value(1,1),value(1,2),value(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,2),value(2,1),value(2,2),value(2,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,3),value(3,1),value(3,2),value(3,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,4),value(4,1),value(4,2),value(4,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,5),value(5,1),value(5,2),value(5,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,6),value(6,1),value(6,2),value(6,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,-------------------------------------------------------------------------/com, /nopr resume,table_4 /gopr


2423


/com, /com, =========================================== /com, COMPARISON OF REACTION FORCES /com, WITH EXPECTED RESULTS /com, =========================================== /com, /com, /com,

Node| Expected |

Mechanical APDL

|

Ratio

*vwrite,label5(1,1),rf_tab(1,1),rf_tab(1,2),rf_tab(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,-------------------------------------------------------------------------/com, /nopr resume,table_3 /gopr /com, /com,=============================================== /com, COMPARISON OF ELEMENT FORCES AND MOMENTS /com, WITH EXPECTED RESULTS /com,=============================================== /com, /com,-----------------------------------------------/com, Note: Element Forces and Moments for some elements /com, along Y & Z directions are flipped between Mechanical APDL /com, and NRC results /com, /com, Element numbers from Mechanical APDL and NRC are /com, different. /com, Element 1 (Mechanical APDL) = Element 1 (NRC) /com, Element 30 (Mechanical APDL) = Element 35 (NRC) /com, Element 33 (Mechanical APDL) = Element 27 (NRC) /com,-----------------------------------------------/com, Result | Expected | Mechanical APDL | Ratio /com, /com,=============== /com, Element 35 /com,=============== /com, *vwrite,label3(1,1),elem_tab(1,1),elem_tab(1,2),elem_tab(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(13,1),elem_tab(13,2),elem_tab(13,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com, /com,=============== /com, Element 27 /com,=============== /com, *vwrite,label3(1,1),elem_tab(7,1),elem_tab(7,2),elem_tab(7,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(19,1),elem_tab(19,2),elem_tab(19,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)

2424


vm-nr1677-2-1b-a Input Listing


vm-nr1677-2-1b-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-2-1b-a /title,vm-nr1677-2-1b-a,NRC piping benchmarks problems,Volume II, Problem 1b /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com,



/out,scratch /prep7 YoungModulus1 = .258e+8 Nu = 0.3 ShearModulus1 = YoungModulus1/(2*(1+Nu)) WMass=1.042868e-03 WTick=0.216 OD=3.5 RADCUR=48.003 temp=80 maxm=15 et,1,pipe16 et,2,pipe18 et,3,combin14 keyopt,3,2,1 et,4,combin14 keyopt,4,2,2 et,5,combin14 keyopt,5,2,3 et,6,combin14 keyopt,6,2,1 et,7,combin14 keyopt,7,2,2

! ! ! ! ! ! ! ! !


! Element 1 - PIPE16 ! Element 2 - PIPE18 ! Element 3 - COMBIN14 ! UX Degree of Freedom ! Element 4 - COMBIN14 ! UY Degree of Freedom ! Element 5 - COMBIN14 ! UZ Degree of Freedom ! Element 6 - COMBIN14 ! UX Degree of Freedom ! Element 7 - COMBIN14 ! UY Degree of Freedom

/com,-----------------------------------------------------------------------------------/com, Real Constants /com,**************** r,1,od,Wtick ! Real Constant Set 1 r,2,od,Wtick,RADCUR


2425

NRC Piping Benchmarks Input Listings r,3,0.2e+8 r,4,0.2e+8 r,5,0.2e+8 r,6,0.2e+5 r,7,0.2e+5 /com,-----------------------------------------------------------------------------------/com, Material Properties /com,********************* mp,ex,1,YoungModulus1 mp,nuxy,1,Nu mp,gxy,1,ShearModulus1 mp,dens,1,WMass mp,ex,2,YoungModulus1 mp,nuxy,2,Nu mp,gxy,2,ShearModulus1 mp,dens,2,WMass /com,-----------------------------------------------------------------------------------/com, Nodes /com,******* n,1,0,0,0 n,2,0,12,0 n,3,35.687,60,32.110 n,4,55,60,49.5 n,5,74.329,60,66.882 n,6,110,12,99 n,7,110,0,99 n,8,110,-24,99, n,9,110,-48,99, n,10,110,-72,99 n,11,110,-96,99 n,12,110,-120,99 n,13,110,-144,99 n,14,110,-168,99 n,15,110,-198,99 n,16,110,-228,99 n,17,110,-252,99 n,18,110,-276,99 n,19,110,-300,99 n,20,110,-324,99 n,21,99.6,-349.4,99 n,22,89.2,-374.8,99 n,23,78.8,-400,99 n,24,68.4,-425.6,99 n,25,58,-451,99 n,26,58,-475,99 n,27,58,-487,99 n,28,103.537,-535,114.179 n,29,124.269,-535,121.1 n,30,145,-535,128 n,31,184.975,-535,123.615 n,32,214.8,-536,102.8 n,33,254.585,-535,81.849 n,34,279.312,-535,75 n,35,331,-535,75 n,36,383,-535,75 /com, /com, Elastic Support Nodes /com,*********************** n,37,10,0,0 n,38,0,10,0 n,39,0,0,10 n,40,55,70,49.5 n,41,110,0,109

2426


vm-nr1677-2-1b-a Input Listing n,42,120,0,99 n,43,110,-168,109 n,44,120,-168,109 n,45,110,-324,109 n,46,120,-324,99 n,47,58,-475,109 n,48,68,-475,99 n,49,103.537,-545,114.179 n,50,103.537,-535,104.179 n,51,393,-535,75 n,52,383,-545,75 n,53,383,-535,85 /com,-----------------------------------------------------------------------------------/com, /com, Straight Pipe (Tangent) Elements /com,********************************** mat,1 type,1 real,1


e, 1, 2 e, 3, 4 e, 4, 5 e, 6, 7 e, 7, 8 e, 8, 9 e, 9,10 e,10,11 e,11,12 e,12,13 e,13,14 e,14,15 e,15,16 e,16,17 e,17,18 e,18,19 e,19,20 e,20,21 e,21,22 e,22,23 e,23,24 e,24,25 e,25,26 e,26,27 e,28,29 e,29,30 e,31,32 e,32,33 e,34,35 e,35,36 /com, /com, Pipe Bend Elements /com,******************** mat,2 type,2 real,2 e,2,3,4 e,5,6,4 e,27,28,26 e,30,31,29 e,33,34,32 /com, /com, Elastic Supports and Anchors /com,******************************


2427

NRC Piping Benchmarks Input Listings ! rotate nodes with less than 3 supports wplane,,nx(4),ny(4),nz(4),nx(40),ny(40),nz(40),nx(3),ny(3),nz(3) cswplane,11,0 nrotat,4 nrotat,40 csys,0 wplane,,nx(7),ny(7),nz(7),nx(41),ny(41),nz(41),nx(42),ny(42),nz(42) cswplane,12,0 nrotat,7 nrotat,41,42 csys,0 wplane,,nx(14),ny(14),nz(14),nx(43),ny(43),nz(43),nx(44),ny(44),nz(44) cswplane,13,0 nrotat,14 nrotat,43,44 csys,0 wplane,,nx(20),ny(20),nz(20),nx(45),ny(45),nz(45),nx(46),ny(46),nz(46) cswplane,14,0 nrotat,20 nrotat,45,46 csys,0 wplane,,nx(26),ny(26),nz(26),nx(47),ny(47),nz(47),nx(48),ny(48),nz(48) cswplane,15,0 nrotat,26 nrotat,47,48 csys,0 wplane,,nx(28),ny(28),nz(28),nx(49),ny(49),nz(49),nx(50),ny(50),nz(50) cswplane,16,0 nrotat,28 nrotat,49,50 csys,0 type,3 real,3 e,1,37 e,36,51 e,4,40 e,7,41 e,26,47 e,28,49 type,4 real,4 e,1,38 e,36,52 e,7,42 e,26,48 e,28,50 type,5 real,5 e,1,39 e,36,53 type,6 real,6 e,14,43 e,20,45 type,7 real,7 e,14,44 e,20,46 /com, /com, Constraints /com,*************

2428



nsel,,node,,37,53 d,all,all allsel d,1,rotx,,,,,roty,rotz d,36,rotx,,,,,roty,rotz save finish /com,-----------------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal ! Perform Modal Analysis modopt,lanb,maxm lumpm,on ! Use Lumped Mass Matrix Approximation mxpand,maxm,,,yes ! Expand Solution with Element Calculations ON solve save /com,-----------------------------------------------------------------------------------/com, /com,=========================== /com, Compare Modal Frequencies /com,=========================== /com, *dim,Amode,ARRAY,maxm *dim,Emode,ARRAY,maxm *dim,ERmode,ARRAY,maxm *dim,moden,ARRAY,maxm *do,i,1,maxm *GET, Amode(i), MODE, i, FREQ *enddo *VFILL,Emode,DATA,6.042,6.256,7.76,8.943,12.444,12.83,14.303,15.486,16.371,18.543 *VFILL,Emode(11),DATA,19.499,23.243,24.105,32.636,33.837 *do,i,1,maxm ERmode(i)=ABS(Amode(i)/Emode(i)) moden(i)=i *enddo save,table_1 finish /com,-----------------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr spopt,mprs,15

! Perform Spectrum Analysis ! Multi Point Excitation Response Spectrum

gval = 386.4 /com, /com, spectrum 1 (group 1 - upperLevel - X) /com,***************************************


2429

NRC Piping Benchmarks Input Listings spunit,1,accg, gval spfrq,1, 2.5 , 5.0 , 8.0, 12.35, 13.51, 16.95, 20.83 spval,1,, 2.275, 2.275, 1.0, 0.8, 0.925, 0.925, 0.8 spfrq,1, 23.25, 29.41, 34.48 spval,1,, 1.0 , 1.0, 0.875 /com, /com, spectrum 2 (group 1 - upperLevel - Y=0.667X) /com,********************************************** spunit,2,accg, gval spfrq,2, 2.5 , 5.0 , 8.0, 12.35, 13.51, 16.95, 20.83 spval,2,, 1.517, 1.517, 0.667, 0.534, 0.617, 0.617, 0.534 spfrq,2, 23.25, 29.41, 34.48 spval,2,, 0.667 , 0.667, 0.584 /com, /com, spectrum 3 (group 2 - lowerLevel - X) /com,*************************************** spunit, 3,accg, gval spfrq,3, 3.0 , 4.0 , 7.0, 12.5, 14.1, 15.87, 21.74 spval,3,, 1.4 , 1.4 , 0.75, 0.875, 0.7, 0.7, 0.8 spfrq,3, 23.25, 27.03, 31.25, 34.48 spval,3,, 0.75, 0.75, 0.7, 0.6 /com, /com, spectrum 4 (group 2 - lowerLevel - Y=0.667X) /com,********************************************** spunit,4,accg, gval spfrq,4, 3.0 , 4.0 , 7.0, 12.5, 14.1, 15.87, 21.74 spval,4,, 0.934, 0.934, 0.5 , 0.584, 0.467, 0.467, 0.534 spfrq,4, 23.25, 27.03, 31.25, 34.48 spval,4,, 0.5, 0.5, 0.467, 0.4 /com, /com, node components for excitation points /com,*************************************** nsel,,node,,37,42 cm,upperLevel,node allsel nsel,,node,,43,53 cm,lowerLevel,node allsel /com, -- upper level - spectrum 1 d,37,ux,1,,39 d,41,uy,1,,42 pfact,1 d,upperLevel,all,0 /com, -- upper level - spectrum 2 d,37,uy,1,,39 d,40,ux,1 d,41,uz,1,,42 pfact,2 d,upperLevel,all,0 /com, -- lower level - spectrum 3 d,43,uy,1,,48 d,49,uz,1,,50 d,51,ux,1,,53 pfact,3 d,lowerLevel,all,0 /com, -- lower level - spectrum 4 d,43,uz,1,,48 d,49,ux,-1,,50 d,51,uy,1,,53 pfact,4

2430


vm-nr1677-2-1b-a Input Listing d,lowerLevel,all,0 srss,0.0 solve

! Combine modes using SRSS mode combination

finish /com,-----------------------------------------------------------------------------------/post1 /input,,mcom /com,----------------------------------/com, *Labels* *dim,label2,char,1,6 *dim,label3,char,6,1 *dim,label4,char,6,1 *dim,label5,char,5,1 /com,------------------------label2(1,1) label2(1,2) label2(1,3) label2(1,4) label2(1,5) label2(1,6)

= 'ux_5' = 'uy_32' = 'uz_32' ='rotx_5' ='roty_30' ='rotz_30'

/com,----------------------label3(1,1)='PX(I)' label3(2,1)='VY(I)' label3(3,1)='VZ(I)' label3(4,1)='TX(I)' label3(5,1)='MY(I)' label3(6,1)='MZ(I)' /com,----------------------label4(1,1)='PX(J)' label4(2,1)='VY(J)' label4(3,1)='VZ(J)' label4(4,1)='TX(J)' label4(5,1)='MY(J)' label4(6,1)='MZ(J)' /com,------------------------label5(1,1)='37' label5(2,1)='43' label5(3,1)='47' label5(4,1)='50' label5(5,1)='53' /com,----------------------------------/com,-----------------------------------------------------------------------------------/com, /com,======================================================== /com, Maximum nodal displacements and rotations comparsion /com,======================================================== /com, /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,5,U,X *GET,AdisY,NODE,32,U,Y *GET,AdisZ,NODE,32,U,Z *GET,ArotX,NODE,5,ROT,X


2431

NRC Piping Benchmarks Input Listings *GET,ArotY,NODE,30,ROT,Y *GET,ArotZ,NODE,30,ROT,Z /com, /com, Expected results from NRC manual /com, ********************************* *SET,EdisX,7.83074e-02 *SET,EdisY,1.89857e-01 *SET,EdisZ,1.98692e-01 *SET,ErotX,1.50690e-03 *SET,ErotY,2.22876e-03 *SET,ErotZ,2.05115e-03 /com, /com, Error computation /com,******************** ERdisX=ABS(AdisX/EdisX) ERdisY=ABS(AdisY/EdisY) ERdisZ=ABS(AdisZ/EdisZ) ERrotX=ABS((ArotX)/(ErotX)) ERrotY=ABS((ArotY)/(ErotY)) ERrotZ=ABS((ArotZ)/(ErotZ)) *dim,value,,6,3 *vfill,value(1,1),data,EdisX *vfill,value(1,2),data,AdisX *vfill,value(1,3),data,ERdisX *vfill,value(2,1),data,EdisY *vfill,value(2,2),data,AdisY *vfill,value(2,3),data,ERdisY *vfill,value(3,1),data,EdisZ *vfill,value(3,2),data,AdisZ *vfill,value(3,3),data,ERdisZ *vfill,value(4,1),data,ErotX *vfill,value(4,2),data,ArotX *vfill,value(4,3),data,ERrotX *vfill,value(5,1),data,ErotY *vfill,value(5,2),data,ArotY *vfill,value(5,3),data,ERrotY *vfill,value(6,1),data,ErotZ *vfill,value(6,2),data,ArotZ *vfill,value(6,3),data,ERrotZ save,table_2 /com,-----------------------------------------------------------------------------------/com, *======================================================== /com, * Element Forces and Moments Comparison /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *dim,elem_res_I,,3,6 *dim,elem_res_J,,3,6 *dim,pxi,,3 *dim,vyi,,3 *dim,vzi,,3 *dim,txi,,3 *dim,myi,,3 *dim,mzi,,3

2432


vm-nr1677-2-1b-a Input Listing *dim,pxj,,3 *dim,vyj,,3 *dim,vzj,,3 *dim,txj,,3 *dim,myj,,3 *dim,mzj,,3 esel,s,ename,,16 esel,a,ename,,18 /com,========== /com, Node I /com,========== /com, Element #1 /com,*********** *get,pxi(1,1),elem,1,smisc,1 *get,vyi(1,1),elem,1,smisc,2 *get,vzi(1,1),elem,1,smisc,3 *get,txi(1,1),elem,1,smisc,4 *get,myi(1,1),elem,1,smisc,5 *get,mzi(1,1),elem,1,smisc,6 *vfill,elem_res_I(1,1),data,pxi(1,1) *vfill,elem_res_I(1,2),data,vyi(1,1) *vfill,elem_res_I(1,3),data,vzi(1,1) *vfill,elem_res_I(1,4),data,txi(1,1) *vfill,elem_res_I(1,5),data,myi(1,1) *vfill,elem_res_I(1,6),data,mzi(1,1) /com, Element #30 /com,************* *get,pxi(2,1),elem,30,smisc,1 *get,vyi(2,1),elem,30,smisc,2 *get,vzi(2,1),elem,30,smisc,3 *get,txi(2,1),elem,30,smisc,4 *get,myi(2,1),elem,30,smisc,5 *get,mzi(2,1),elem,30,smisc,6 *vfill,elem_res_I(2,1),data,pxi(2,1) *vfill,elem_res_I(2,2),data,vyi(2,1) *vfill,elem_res_I(2,3),data,vzi(2,1) *vfill,elem_res_I(2,4),data,txi(2,1) *vfill,elem_res_I(2,5),data,myi(2,1) *vfill,elem_res_I(2,6),data,mzi(2,1) /com, Element #33 /com,************* *get,pxi(3,1),elem,33,smisc,1 *get,vyi(3,1),elem,33,smisc,2 *get,vzi(3,1),elem,33,smisc,3 *get,txi(3,1),elem,33,smisc,4 *get,myi(3,1),elem,33,smisc,5 *get,mzi(3,1),elem,33,smisc,6 *vfill,elem_res_I(3,1),data,pxi(3,1) *vfill,elem_res_I(3,2),data,vyi(3,1) *vfill,elem_res_I(3,3),data,vzi(3,1) *vfill,elem_res_I(3,4),data,txi(3,1) *vfill,elem_res_I(3,5),data,myi(3,1) *vfill,elem_res_I(3,6),data,mzi(3,1)

/com,========== /com, Node J /com,========== /com, Element #1 /com,************


2433


*get,pxj(1,1),elem,1,smisc,7 *get,vyj(1,1),elem,1,smisc,8 *get,vzj(1,1),elem,1,smisc,9 *get,txj(1,1),elem,1,smisc,10 *get,myj(1,1),elem,1,smisc,11 *get,mzj(1,1),elem,1,smisc,12 *vfill,elem_res_J(1,1),data,pxj(1,1) *vfill,elem_res_J(1,2),data,vyj(1,1) *vfill,elem_res_J(1,3),data,vzj(1,1) *vfill,elem_res_J(1,4),data,txj(1,1) *vfill,elem_res_J(1,5),data,myj(1,1) *vfill,elem_res_J(1,6),data,mzj(1,1) /com, Element #30 /com,************* *get,pxj(2,1),elem,30,smisc,7 *get,vyj(2,1),elem,30,smisc,8 *get,vzj(2,1),elem,30,smisc,9 *get,txj(2,1),elem,30,smisc,10 *get,myj(2,1),elem,30,smisc,11 *get,mzj(2,1),elem,30,smisc,12 *vfill,elem_res_J(2,1),data,pxj(2,1) *vfill,elem_res_J(2,2),data,vyj(2,1) *vfill,elem_res_J(2,3),data,vzj(2,1) *vfill,elem_res_J(2,4),data,txj(2,1) *vfill,elem_res_J(2,5),data,myj(2,1) *vfill,elem_res_J(2,6),data,mzj(2,1) /com, Element #33 /com,************* *get,pxj(3,1),elem,33,smisc,7 *get,vyj(3,1),elem,33,smisc,8 *get,vzj(3,1),elem,33,smisc,9 *get,txj(3,1),elem,33,smisc,10 *get,myj(3,1),elem,33,smisc,11 *get,mzj(3,1),elem,33,smisc,12 *vfill,elem_res_J(3,1),data,pxj(3,1) *vfill,elem_res_J(3,2),data,vyj(3,1) *vfill,elem_res_J(3,3),data,vzj(3,1) *vfill,elem_res_J(3,4),data,txj(3,1) *vfill,elem_res_J(3,5),data,myj(3,1) *vfill,elem_res_J(3,6),data,mzj(3,1) /com,---------------------------------------------------------------------------/com, Results from NRC benchmarks /com, *************************** *dim,exp_I,,3,6 *dim,exp_J,,3,6 /com, Element #1 /com,************ *vfill,exp_I(1,1),data,9.271e+01 *vfill,exp_I(1,2),data,8.643e+01 *vfill,exp_I(1,3),data,8.150e+01 *vfill,exp_I(1,4),data,1.318e+03 *vfill,exp_I(1,5),data,2.885e+03 *vfill,exp_I(1,6),data,2.775e+03 *vfill,exp_J(1,1),data,9.271e+01 *vfill,exp_J(1,2),data,8.643e+01 *vfill,exp_J(1,3),data,8.150e+01 *vfill,exp_J(1,4),data,1.318e+03 *vfill,exp_J(1,5),data,2.041e+03

2434


vm-nr1677-2-1b-a Input Listing *vfill,exp_J(1,6),data,1.907e+03 /com, Element #35 /com,************* *vfill,exp_I(2,1),data,8.420e+01 *vfill,exp_I(2,2),data,6.672e+01 *vfill,exp_I(2,3),data,7.427e+01 *vfill,exp_I(2,4),data,4.313e+02 *vfill,exp_I(2,5),data,1.169e+03 *vfill,exp_I(2,6),data,1.119e+03 *vfill,exp_J(2,1),data,8.420e+01 *vfill,exp_J(2,2),data,6.672e+01 *vfill,exp_J(2,3),data,7.427e+01 *vfill,exp_J(2,4),data,4.313e+02 *vfill,exp_J(2,5),data,4.724e+03 *vfill,exp_j(2,6),data,4.484e+03 /com, Element #27 /com,************* *vfill,exp_I(3,1),data,1.217e+02 *vfill,exp_I(3,2),data,3.001e+01 *vfill,exp_I(3,3),data,9.072e+01 *vfill,exp_I(3,4),data,5.562e+02 *vfill,exp_I(3,5),data,1.036e+03 *vfill,exp_I(3,6),data,9.892e+02 *vfill,exp_J(3,1),data,9.072e+01 *vfill,exp_J(3,2),data,3.001e+01 *vfill,exp_J(3,3),data,1.217e+02 *vfill,exp_J(3,4),data,7.557e+02 *vfill,exp_J(3,5),data,2.681e+03 *vfill,exp_J(3,6),data,1.948e+03 /com,--------------------------------------------------------------------------/com, Error computation /com, ********************* *dim,elem_error_I,,3,6 *dim,elem_error_J,,3,6 *dim,elem_tab,,36,3 /com,============ /com, Node I /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_I(i,j),data,abs(elem_res_I(i,j)/exp_I(i,j)) *enddo *enddo /com,============ /com, Node J /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_J(i,j),data,abs(elem_res_J(i,j)/exp_J(i,j)) *enddo *enddo /com,-------------------------------------------------------------------------*do,i,1,3 cs=(i-1)*6 *do,j,1,6 n=cs+j *vfill,elem_tab(n,1),data,exp_I(i,j)


2435

NRC Piping Benchmarks Input Listings *vfill,elem_tab(n,2),data,elem_res_I(i,j) *vfill,elem_tab(n,3),data,elem_error_I(i,j) *enddo *do,j,1,6 m=cs+j+18 *vfill,elem_tab(m,1),data,exp_J(i,j) *vfill,elem_tab(m,2),data,elem_res_J(i,j) *vfill,elem_tab(m,3),data,elem_error_J(i,j) *enddo *enddo save,table_3 /com,-----------------------------------------------------------------------------------/com,***************************** /com, Reaction forces comparision /com,****************************** *dim,rf_tab,,5,3 /com, Solution obtained from Mechanical APDL /com,****************************** *GET,RFA37,NODE,37,RF,FX *GET,RFA43,NODE,43,RF,FX *GET,RFA47,NODE,47,RF,FX *GET,RFA50,NODE,50,RF,FY *GET,RFA53,NODE,53,RF,FZ /com, Expected results from NRC manual /com,********************************** *SET,RFE37,86 *SET,RFE43,34 *SET,RFE47,53 *SET,RFE50,95 *SET,RFE53,74 /com, Error computation /com,******************* ER37=ABS(RFA37/RFE37) ER43=ABS(RFA43/RFE43) ER47=ABS(RFA47/RFE47) ER50=ABS(RFA50/RFE50) ER53=ABS(RFA53/RFE53) *vfill,rf_tab(1,1),data,RFE37 *vfill,rf_tab(1,2),data,RFA37 *vfill,rf_tab(1,3),data,ER37 *vfill,rf_tab(2,1),data,RFE43 *vfill,rf_tab(2,2),data,RFA43 *vfill,rf_tab(2,3),data,ER43 *vfill,rf_tab(3,1),data,RFE47 *vfill,rf_tab(3,2),data,RFA47 *vfill,rf_tab(3,3),data,ER47 *vfill,rf_tab(4,1),data,RFE50 *vfill,rf_tab(4,2),data,RFA50 *vfill,rf_tab(4,3),data,ER50 *vfill,rf_tab(5,1),data,RFE53 *vfill,rf_tab(5,2),data,RFA53 *vfill,rf_tab(5,3),data,ER53 save,table_4 /com,

2436



/com,-----------------------------------------------------------------------------------/com, /out, /com, /com, ---------------------vm-nr1677-2-1b-a Results Verification--------------------------/com, /nopr resume,table_1 /gopr /out,vm-nr1677-2-1b-a,vrt /com, /com, =========================================== /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, =========================================== /com,

/com, Mode | Expected | Mechanical APDL | /com,

Ratio

*VWRITE,moden(1),Emode(1),Amode(1),ERmode(1) (1X,F3.0,2X,F8.4,3X,F8.4,3X,F4.2,' ') /com, /com,-----------------------------------------------------------------------------------/com, /nopr resume,table_2 /gopr /com, /com,==================================================== /com, COMPARISON OF NODAL DISPLACEMENTS AND ROTATIONS /com, WITH EXPECTED RESULTS /com,==================================================== /com, /com, /com,


Ratio

*vwrite,label2(1,1),value(1,1),value(1,2),value(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,2),value(2,1),value(2,2),value(2,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,3),value(3,1),value(3,2),value(3,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,4),value(4,1),value(4,2),value(4,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,5),value(5,1),value(5,2),value(5,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,6),value(6,1),value(6,2),value(6,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,------------------------------------------------------------------------/com, /nopr resume,table_4 /gopr /com,


2437

NRC Piping Benchmarks Input Listings /com, =========================================== /com, COMPARISON OF REACTION FORCES /com, WITH EXPECTED RESULTS /com, =========================================== /com, /com, Node | Expected | /com,

Mechanical APDL

|

Ratio

*vwrite,label5(1,1),rf_tab(1,1),rf_tab(1,2),rf_tab(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,-------------------------------------------------------------------------/com, /nopr resume,table_3 /gopr /com, /com,=============================================== /com, COMPARISON OF ELEMENT FORCES AND MOMENTS /com, WITH EXPECTED RESULTS /com,=============================================== /com, /com,-----------------------------------------------/com, Note: Element Forces and Moments for some elements /com, along Y & Z directions are flipped between Mechanical APDL /com, and NRC results /com, /com, Element numbers from Mechanical APDL and NRC are /com, different. /com, Element 1 (Mechanical APDL) = Element 1 (NRC) /com, Element 30 (Mechanical APDL) = Element 35 (NRC) /com, Element 33 (Mechanical APDL) = Element 27 (NRC) /com,-----------------------------------------------/com, /com,


Ratio

/com,=============== /com, Element 1 /com,=============== /com, *vwrite,label3(1,1),elem_tab(1,1),elem_tab(1,2),elem_tab(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(19,1),elem_tab(19,2),elem_tab(19,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com, /com,=============== /com, Element 35 /com,=============== /com, *vwrite,label3(1,1),elem_tab(7,1),elem_tab(7,2),elem_tab(7,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(25,1),elem_tab(25,2),elem_tab(25,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)

2438


vm-nr1677-2-1c-a Input Listing /com, /com, /com,=============== /com, Element 27 /com,=============== /com, *vwrite,label3(1,1),elem_tab(13,1),elem_tab(13,2),elem_tab(13,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(31,1),elem_tab(31,2),elem_tab(31,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)

/com, /com, /com,******************************************************************* /com,******************************************************************* /com, /com, /out, *list,vm-nr1677-2-1b-a,vrt finish

vm-nr1677-2-1c-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-2-1c-a /title,vm-nr1677-2-1c-a,NRC piping benchmarks from NUREG/CR1677 VOL II, Problem 1c /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com,

*************************************************************************** Reference: Piping benchmark problems,Dynamic analysis independant support motion response spectrum method, P. Bezler, M. Subudhi and M.Hartzman, August 1985.


/out,scratch /prep7 YoungModulus1 = .258e+8 Nu = 0.3 ShearModulus1 = YoungModulus1/(2*(1+Nu)) WMass=1.042868e-03 WTick=0.216 OD=3.5 RADCUR=48.003 temp=80 maxm=15 et,1,pipe16 et,2,pipe18 et,3,combin14

! ! ! ! ! ! ! ! !


! Element 1 - PIPE16 ! Element 2 - PIPE18 ! Element 3 - COMBIN14


2439

NRC Piping Benchmarks Input Listings keyopt,3,2,1 et,4,combin14 keyopt,4,2,2 et,5,combin14 keyopt,5,2,3 et,6,combin14 keyopt,6,2,1 et,7,combin14 keyopt,7,2,3

! UX Degree of ! Element 4 ! UY Degree of ! Element 5 ! UZ Degree of ! Element 6 ! UX Degree of ! Element 7 ! UZ Degree of

Freedom COMBIN14 Freedom COMBIN14 Freedom COMBIN14 Freedom COMBIN14 Freedom

/com,-----------------------------------------------------------------------------------/com, Real Constants /com,**************** r,1,OD,WTick ! Real Constant Set 1 r,2,OD,WTick,RADCUR r,3, 0.2e+8 r,4, 0.2e+8 r,5, 0.2e+8 r,6, 0.2e+5 r,7, 0.2e+5 /com,-----------------------------------------------------------------------------------/com, Material Properties /com,********************* mp,ex,1,YoungModulus1 mp,nuxy,1,Nu mp,gxy,1,ShearModulus1 mp,dens,1,WMass mp,ex,2,YoungModulus1 mp,nuxy,2,Nu mp,gxy,2,ShearModulus1 mp,dens,2,WMass /com,-----------------------------------------------------------------------------------/com, Nodes /com,******* n,1,0,0,0 n,2,0,12,0 n,3,35.687,60,32.110 n,4,55,60,49.5 n,5,74.329,60,66.882 n,6,110,12,99 n,7,110,0,99 n,8,110,-24,99, n,9,110,-48,99, n,10,110,-72,99 n,11,110,-96,99 n,12,110,-120,99 n,13,110,-144,99 n,14,110,-168,99 n,15,110,-198,99 n,16,110,-228,99 n,17,110,-252,99 n,18,110,-276,99 n,19,110,-300,99 n,20,110,-324,99 n,21,99.6,-349.4,99 n,22,89.2,-374.8,99 n,23,78.8,-400,99 n,24,68.4,-425.6,99 n,25,58,-451,99 n,26,58,-475,99 n,27,58,-487,99

2440


vm-nr1677-2-1c-a Input Listing n,28,103.537,-535,114.179 n,29,124.269,-535,121.1 n,30,145,-535,128 n,31,184.975,-535,123.615 n,32,214.8,-536,102.8 n,33,254.585,-535,81.849 n,34,279.312,-535,75 n,35,331,-535,75 n,36,383,-535,75 /com, /com, Elastic Support Nodes /com,*********************** n,37,10,0,0 n,38,0,10,0 n,39,0,0,10 n,40,55,70,49.5 n,41,110,0,109 n,42,120,0,99 n,43,110,-168,109 n,44,120,-168,99 n,45,110,-324,109 n,46,120,-324,99 n,47,58,-475,109 n,48,68,-475,99 n,49,103.537,-545,114.179 n,50,103.537,-535,104.179 n,51,393,-535,75 n,52,383,-545,75 n,53,383,-535,85 /com,-----------------------------------------------------------------------------------/com, /com, Straight Pipe (Tangent) Elements /com,********************************** mat,1 type,1 real,1


e, 1, 2 e, 3, 4 e, 4, 5 e, 6, 7 e, 7, 8 e, 8, 9 e, 9,10 e,10,11 e,11,12 e,12,13 e,13,14 e,14,15 e,15,16 e,16,17 e,17,18 e,18,19 e,19,20 e,20,21 e,21,22 e,22,23 e,23,24 e,24,25 e,25,26 e,26,27 e,28,29 e,29,30 e,31,32 e,32,33


2441

NRC Piping Benchmarks Input Listings e,34,35 e,35,36 /com, /com, Pipe Bend Elements /com,******************** mat,2 type,2 real,2 e,2,3,4 e,5,6,4 e,27,28,26 e,30,31,29 e,33,34,32 allsel,all /com, /com, Elastic Supports and Anchors /com,****************************** type,3 real,3 e,1,37 e,7,42 e,26,48 e,36,51 type,4 real,4 e,1,38 e,4,40 e,28,49 e,36,52 type,5 real,5 e,1,39 e,7,41 e,26,47 e,28,50 e,36,53 type,6 real,6 e,14,44 e,20,46 type,7 real,7 e,14,43 e,20,45 /com,-----------------------------------------------------------------------------------/com, /com, Constraints /com,************* nsel,,node,,37,53 d,all,all allsel d,1,rotx,,,,,roty,rotz d,36,rotx,,,,,roty,rotz save finish /com,------------------------------------------------------------------------------------

2442


vm-nr1677-2-1c-a Input Listing /com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal ! Perform Modal Analysis modopt,lanb,maxm lumpm,on ! Use Lumped Mass Matrix Approximation mxpand,maxm,,,yes ! Expand Solution with Element Calculations ON solve save /com,-----------------------------------------------------------------------------------/com, /com,=========================== /com, Compare Modal Frequencies /com,=========================== /com, *dim,Amode,ARRAY,maxm *dim,Emode,ARRAY,maxm *dim,ERmode,ARRAY,maxm *dim,moden,ARRAY,maxm *do,i,1,maxm *GET, Amode(i), MODE, i, FREQ *enddo *VFILL,Emode,DATA,6.042,6.256,7.76,8.943,12.444,12.83,14.303,15.486,16.371,18.543 *VFILL,Emode(11),DATA,19.499,23.243,24.105,32.636,33.837 *do,i,1,maxm ERmode(i)=ABS(Amode(i)/Emode(i)) moden(i)=i *enddo save,table_1 finish /com,-----------------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr spopt,mprs,15


gval = 386.4 /com, /com, spectrum 1 (group 1 - upperLevel - X) /com,*************************************** spunit,1,accg,gval spfrq,1, 2.5 , 5.0 , 8.0, 12.35, 13.51, 16.95, 20.83 spval,1,, 2.275, 2.275, 1.0, 0.8, 0.925, 0.925, 0.8 spfrq,1, 23.25, 29.41, 34.48 spval,1,, 1.0 , 1.0, 0.875 /com, /com, spectrum 2 (group 1 - upperLevel - Y = 0.667X) /com,************************************************ spunit,2,accg,gval


2443

NRC Piping Benchmarks Input Listings spfrq,2, 2.5 , 5.0 , 8.0, 12.35, 13.51, 16.95, 20.83 spval,2,, 1.517, 1.517, 0.667, 0.534, 0.617, 0.617, 0.534 spfrq,2, 23.25, 29.41, 34.48 spval,2,, 0.667 , 0.667, 0.584 /com, /com, spectrum 3 (group 2 - lowerLevel - X) /com,*************************************** spunit,3,accg,gval spfrq,3, 3.0 , 4.0 , 7.0, 12.5, 14.1, 15.87, 21.74 spval,3,, 1.4 , 1.4 , 0.75, 0.875, 0.7, 0.7, 0.8 spfrq,3, 23.25, 27.03, 31.25, 34.48 spval,3,, 0.75, 0.75, 0.7, 0.6 /com, /com, spectrum 4 (group 2 - lowerLevel - Y = 0.667X) /com,************************************************ spunit,4,accg,gval spfrq,4, 3.0 , 4.0 , 7.0, 12.5, 14.1, 15.87, 21.74 spval,4,, 0.934, 0.934, 0.5 , 0.584, 0.467, 0.467, 0.534 spfrq,4, 23.25, 27.03, 31.25, 34.48 spval,4,, 0.5, 0.5, 0.467, 0.4 /com, /com, node components for excitation points /com,*************************************** nsel,,node,,37,42 cm,upperLevel,node allsel,all,all nsel,,node,,43,53 cm,lowerLevel,node allsel,all /com, **************************************************** /com, -- upper level - spectrum 1 (Along X - direction) sed,1,,,upperLevel pfact,1 sed,0,,,upperLevel /com, -- lower level - spectrum 3 (Along X - direction) sed,1,,,lowerLevel pfact,3 sed,0,,,lowerLevel /com, -- upper level - spectrum 2 (Along Y - direction) sed,,1,,upperLevel pfact,2 sed,,0,,upperLevel /com, -- lower level - spectrum 4 (Along Y - direction) sed,,1,,lowerLevel pfact,4 sed,,0,,lowerLevel srss,0.0,,YES ! activate Absolute Sum for MPRS solve /com, **************************************************** /post1 /input,,mcom /com,-----------------------------------

2444


vm-nr1677-2-1c-a Input Listing

/com, *Labels* *dim,label2,char,1,6 *dim,label3,char,6,1 *dim,label4,char,6,1 *dim,label5,char,17,1 /com,------------------------label2(1,1) label2(1,2) label2(1,3) label2(1,4) label2(1,5) label2(1,6)


/com,----------------------label3(1,1)='PX(I)' label3(2,1)='VY(I)' label3(3,1)='VZ(I)' label3(4,1)='TX(I)' label3(5,1)='MY(I)' label3(6,1)='MZ(I)' /com,----------------------label4(1,1)='PX(J)' label4(2,1)='VY(J)' label4(3,1)='VZ(J)' label4(4,1)='TX(J)' label4(5,1)='MY(J)' label4(6,1)='MZ(J)' /com,------------------------label5(1,1)='37' label5(2,1)='38' label5(3,1)='39' label5(4,1)='40' label5(5,1)='41' label5(6,1)='42' label5(7,1)='43' label5(8,1)='44' label5(9,1)='45' label5(10,1)='46' label5(11,1)='47' label5(12,1)='48' label5(13,1)='49' label5(14,1)='50' label5(15,1)='51' label5(16,1)='52' label5(17,1)='53'

/com, /com,======================================================== /com, Maximum nodal displacements and rotations comparsion /com,======================================================== /com, /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,5,U,X *GET,AdisY,NODE,32,U,Y *GET,AdisZ,NODE,32,U,Z *GET,ArotX,NODE,28,ROT,X *GET,ArotY,NODE,30,ROT,Y *GET,ArotZ,NODE,30,ROT,Z /com,


2445

NRC Piping Benchmarks Input Listings /com, Expected results from NRC manual /com, ********************************* *SET,EdisX,9.08314e-02 *SET,EdisY,2.63393e-01 *SET,EdisZ,2.75874e-01 *SET,ErotX,1.50778e-03 *SET,ErotY,3.09194e-03 *SET,ErotZ,2.84469e-03 /com, /com, Error computation /com,******************** ERdisX=ABS(AdisX/EdisX) ERdisY=ABS(AdisY/EdisY) ERdisZ=ABS(AdisZ/EdisZ) ERrotX=ABS((ArotX)/(ErotX)) ERrotY=ABS((ArotY)/(ErotY)) ERrotZ=ABS((ArotZ)/(ErotZ)) *dim,value,,6,3 *vfill,value(1,1),data,EdisX *vfill,value(1,2),data,AdisX *vfill,value(1,3),data,ERdisX *vfill,value(2,1),data,EdisY *vfill,value(2,2),data,AdisY *vfill,value(2,3),data,ERdisY *vfill,value(3,1),data,EdisZ *vfill,value(3,2),data,AdisZ *vfill,value(3,3),data,ERdisZ *vfill,value(4,1),data,ErotX *vfill,value(4,2),data,ArotX *vfill,value(4,3),data,ERrotX *vfill,value(5,1),data,ErotY *vfill,value(5,2),data,ArotY *vfill,value(5,3),data,ERrotY *vfill,value(6,1),data,ErotZ *vfill,value(6,2),data,ArotZ *vfill,value(6,3),data,ERrotZ save,table_2 /com,-----------------------------------------------------------------------------------/com, *======================================================== /com, * Element Forces and Moments Comparison /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *dim,elem_res_I,,3,6 *dim,elem_res_J,,3,6 *dim,pxi,,3 *dim,vyi,,3 *dim,vzi,,3 *dim,txi,,3 *dim,myi,,3 *dim,mzi,,3 *dim,pxj,,3 *dim,vyj,,3 *dim,vzj,,3 *dim,txj,,3

2446


vm-nr1677-2-1c-a Input Listing *dim,myj,,3 *dim,mzj,,3 esel,s,ename,,16 esel,a,ename,,18 /com,========== /com, Node I /com,========== /com, Element #1 /com,*********** *get,pxi(1,1),elem,1,smisc,1 *get,vyi(1,1),elem,1,smisc,2 *get,vzi(1,1),elem,1,smisc,3 *get,txi(1,1),elem,1,smisc,4 *get,myi(1,1),elem,1,smisc,5 *get,mzi(1,1),elem,1,smisc,6 *vfill,elem_res_I(1,1),data,pxi(1,1) *vfill,elem_res_I(1,2),data,vyi(1,1) *vfill,elem_res_I(1,3),data,vzi(1,1) *vfill,elem_res_I(1,4),data,txi(1,1) *vfill,elem_res_I(1,5),data,myi(1,1) *vfill,elem_res_I(1,6),data,mzi(1,1) /com, Element #30 /com,************* *get,pxi(2,1),elem,30,smisc,1 *get,vyi(2,1),elem,30,smisc,2 *get,vzi(2,1),elem,30,smisc,3 *get,txi(2,1),elem,30,smisc,4 *get,myi(2,1),elem,30,smisc,5 *get,mzi(2,1),elem,30,smisc,6 *vfill,elem_res_I(2,1),data,pxi(2,1) *vfill,elem_res_I(2,2),data,vyi(2,1) *vfill,elem_res_I(2,3),data,vzi(2,1) *vfill,elem_res_I(2,4),data,txi(2,1) *vfill,elem_res_I(2,5),data,myi(2,1) *vfill,elem_res_I(2,6),data,mzi(2,1) /com, Element #33 /com,************* *get,pxi(3,1),elem,33,smisc,1 *get,vyi(3,1),elem,33,smisc,2 *get,vzi(3,1),elem,33,smisc,3 *get,txi(3,1),elem,33,smisc,4 *get,myi(3,1),elem,33,smisc,5 *get,mzi(3,1),elem,33,smisc,6 *vfill,elem_res_I(3,1),data,pxi(3,1) *vfill,elem_res_I(3,2),data,vyi(3,1) *vfill,elem_res_I(3,3),data,vzi(3,1) *vfill,elem_res_I(3,4),data,txi(3,1) *vfill,elem_res_I(3,5),data,myi(3,1) *vfill,elem_res_I(3,6),data,mzi(3,1)

/com,========== /com, Node J /com,========== /com, Element #1 /com,************ *get,pxj(1,1),elem,1,smisc,7 *get,vyj(1,1),elem,1,smisc,8 *get,vzj(1,1),elem,1,smisc,9


2447

NRC Piping Benchmarks Input Listings *get,txj(1,1),elem,1,smisc,10 *get,myj(1,1),elem,1,smisc,11 *get,mzj(1,1),elem,1,smisc,12 *vfill,elem_res_J(1,1),data,pxj(1,1) *vfill,elem_res_J(1,2),data,vyj(1,1) *vfill,elem_res_J(1,3),data,vzj(1,1) *vfill,elem_res_J(1,4),data,txj(1,1) *vfill,elem_res_J(1,5),data,myj(1,1) *vfill,elem_res_J(1,6),data,mzj(1,1) /com, Element #30 /com,************* *get,pxj(2,1),elem,30,smisc,7 *get,vyj(2,1),elem,30,smisc,8 *get,vzj(2,1),elem,30,smisc,9 *get,txj(2,1),elem,30,smisc,10 *get,myj(2,1),elem,30,smisc,11 *get,mzj(2,1),elem,30,smisc,12 *vfill,elem_res_J(2,1),data,pxj(2,1) *vfill,elem_res_J(2,2),data,vyj(2,1) *vfill,elem_res_J(2,3),data,vzj(2,1) *vfill,elem_res_J(2,4),data,txj(2,1) *vfill,elem_res_J(2,5),data,myj(2,1) *vfill,elem_res_J(2,6),data,mzj(2,1) /com, Element #33 /com,************* *get,pxj(3,1),elem,33,smisc,7 *get,vyj(3,1),elem,33,smisc,8 *get,vzj(3,1),elem,33,smisc,9 *get,txj(3,1),elem,33,smisc,10 *get,myj(3,1),elem,33,smisc,11 *get,mzj(3,1),elem,33,smisc,12 *vfill,elem_res_J(3,1),data,pxj(3,1) *vfill,elem_res_J(3,2),data,vyj(3,1) *vfill,elem_res_J(3,3),data,vzj(3,1) *vfill,elem_res_J(3,4),data,txj(3,1) *vfill,elem_res_J(3,5),data,myj(3,1) *vfill,elem_res_J(3,6),data,mzj(3,1) /com,---------------------------------------------------------------------------/com, Results from NRC benchmarks /com, *************************** *dim,exp_I,,3,6 *dim,exp_J,,3,6 /com, Element #1 /com,************ *vfill,exp_I(1,1),data,1.277e+02 *vfill,exp_I(1,2),data,1.165e+02 *vfill,exp_I(1,3),data,1.090e+02 *vfill,exp_I(1,4),data,1.522e+03 *vfill,exp_I(1,5),data,3.548e+03 *vfill,exp_I(1,6),data,3.503e+03 *vfill,exp_J(1,1),data,1.277e+02 *vfill,exp_J(1,2),data,1.165e+02 *vfill,exp_J(1,3),data,1.090e+02 *vfill,exp_J(1,4),data,1.522e+03 *vfill,exp_J(1,5),data,2.450e+03 *vfill,exp_J(1,6),data,2.316e+03 /com, Element #35 /com,*************

2448



*vfill,exp_I(2,1),data,1.156e+02 *vfill,exp_I(2,2),data,9.181e+01 *vfill,exp_I(2,3),data,1.026e+02 *vfill,exp_I(2,4),data,5.825e+02 *vfill,exp_I(2,5),data,1.615e+03 *vfill,exp_I(2,6),data,1.544e+03 *vfill,exp_J(2,1),data,1.156e+02 *vfill,exp_J(2,2),data,9.181e+01 *vfill,exp_J(2,3),data,1.026e+02 *vfill,exp_J(2,4),data,5.825e+02 *vfill,exp_J(2,5),data,6.548e+03 *vfill,exp_j(2,6),data,6.198e+03 /com, Element #27 /com,************* *vfill,exp_I(3,1),data,1.639e+02 *vfill,exp_I(3,2),data,4.134e+01 *vfill,exp_I(3,3),data,1.233e+02 *vfill,exp_I(3,4),data,7.691e+02 *vfill,exp_I(3,5),data,1.399e+03 *vfill,exp_I(3,6),data,1.365e+03 *vfill,exp_J(3,1),data,1.233e+02 *vfill,exp_J(3,2),data,4.134e+01 *vfill,exp_J(3,3),data,1.639e+02 *vfill,exp_J(3,4),data,1.034e+03 *vfill,exp_J(3,5),data,3.666e+03 *vfill,exp_J(3,6),data,2.692e+03 /com,--------------------------------------------------------------------------/com, Error computation /com, ********************* *dim,elem_error_I,,3,6 *dim,elem_error_J,,3,6 *dim,elem_tab,,36,3 /com,============ /com, Node I /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_I(i,j),data,abs(elem_res_I(i,j)/exp_I(i,j)) *enddo *enddo /com,============ /com, Node J /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_J(i,j),data,abs(elem_res_J(i,j)/exp_J(i,j)) *enddo *enddo /com,-------------------------------------------------------------------------*do,i,1,3 cs=(i-1)*6 *do,j,1,6 n=cs+j *vfill,elem_tab(n,1),data,exp_I(i,j) *vfill,elem_tab(n,2),data,elem_res_I(i,j) *vfill,elem_tab(n,3),data,elem_error_I(i,j) *enddo


2449

NRC Piping Benchmarks Input Listings *do,j,1,6 m=cs+j+18 *vfill,elem_tab(m,1),data,exp_J(i,j) *vfill,elem_tab(m,2),data,elem_res_J(i,j) *vfill,elem_tab(m,3),data,elem_error_J(i,j) *enddo *enddo save,table_3 /com,-----------------------------------------------------------------------------------/com, /com,***************************** /com, Reaction forces comparision /com,****************************** /com, *dim,rf_ans,,17,1 *dim,rf_exp,,17,1 *dim,rf_err,,17,1 *dim,rf_tab,,17,3 /com, /com, Solution obtained from Mechanical APDL /com,****************************** *GET,RFA37,NODE,37,RF,FX *GET,RFA38,NODE,38,RF,FY *GET,RFA39,NODE,39,RF,FZ *GET,RFA40,NODE,40,RF,FY *GET,RFA41,NODE,41,RF,FZ *GET,RFA42,NODE,42,RF,FX *GET,RFA43,NODE,43,RF,FZ *GET,RFA44,NODE,44,RF,FX *GET,RFA45,NODE,45,RF,FZ *GET,RFA46,NODE,46,RF,FX *GET,RFA47,NODE,47,RF,FZ *GET,RFA48,NODE,48,RF,FX *GET,RFA49,NODE,49,RF,FY *GET,RFA50,NODE,50,RF,FZ *GET,RFA51,NODE,51,RF,FX *GET,RFA52,NODE,52,RF,FY *GET,RFA53,NODE,53,RF,FZ *vfill,rf_ans(1,1),data,RFA37 *vfill,rf_ans(2,1),data,RFA38 *vfill,rf_ans(3,1),data,RFA39 *vfill,rf_ans(4,1),data,RFA40 *vfill,rf_ans(5,1),data,RFA41 *vfill,rf_ans(6,1),data,RFA42 *vfill,rf_ans(7,1),data,RFA43 *vfill,rf_ans(8,1),data,RFA44 *vfill,rf_ans(9,1),data,RFA45 *vfill,rf_ans(10,1),data,RFA46 *vfill,rf_ans(11,1),data,RFA47 *vfill,rf_ans(12,1),data,RFA48 *vfill,rf_ans(13,1),data,RFA49 *vfill,rf_ans(14,1),data,RFA50 *vfill,rf_ans(15,1),data,RFA51 *vfill,rf_ans(16,1),data,RFA52 *vfill,rf_ans(17,1),data,RFA53 /com, /com, Expected results from NRC manual /com,********************************** *vfill,rf_exp(1,1),data,117 *vfill,rf_exp(2,1),data,128 *vfill,rf_exp(3,1),data,109 *vfill,rf_exp(4,1),data,278 *vfill,rf_exp(5,1),data,100

2450


vm-nr1677-2-1c-a Input Listing *vfill,rf_exp(6,1),data,113 *vfill,rf_exp(7,1),data,44 *vfill,rf_exp(8,1),data,65 *vfill,rf_exp(9,1),data,35 *vfill,rf_exp(10,1),data,63 *vfill,rf_exp(11,1),data,72 *vfill,rf_exp(12,1),data,185 *vfill,rf_exp(13,1),data,204 *vfill,rf_exp(14,1),data,131 *vfill,rf_exp(15,1),data,116 *vfill,rf_exp(16,1),data,92 *vfill,rf_exp(17,1),data,103 /com, /com, Error computation /com,*******************

*do,i,1,17 rf_err(i,1) = abs((rf_ans(i,1))/(rf_exp(i,1))) *enddo

*do,i,1,17 *vfill,rf_tab(i,1),data,rf_exp(i,1) *vfill,rf_tab(i,2),data,rf_ans(i,1) *vfill,rf_tab(i,3),data,rf_err(i,1) *enddo save,table_4 /com, /com,-----------------------------------------------------------------------------------/com, /out, /com, /com, -----------------------vm-nr1677-2-1c-a Results Verification------------------------------/com, /nopr resume,table_1 /gopr /out,vm-nr1677-2-1c-a,vrt /com, /com, =========================================== /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, =========================================== /com, /com, Mode | Expected | Mechanical APDL | /com,

Ratio

*VWRITE,moden(1),Emode(1),Amode(1),ERmode(1) (1X,F3.0,2X,F8.4,3X,F8.4,3X,F4.2,' ') /com, /com,-----------------------------------------------------------------------------------/com, /nopr resume,table_2 /gopr /com, /com,====================================================


2451

NRC Piping Benchmarks Input Listings /com, COMPARISON OF NODAL DISPLACEMENTS AND ROTATIONS /com, WITH EXPECTED RESULTS /com,==================================================== /com, /com, /com,


Ratio

*vwrite,label2(1,1),value(1,1),value(1,2),value(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,2),value(2,1),value(2,2),value(2,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,3),value(3,1),value(3,2),value(3,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,4),value(4,1),value(4,2),value(4,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,5),value(5,1),value(5,2),value(5,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,6),value(6,1),value(6,2),value(6,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,------------------------------------------------------------------------/com, /nopr resume,table_4 /gopr /com, /com, =========================================== /com, COMPARISON OF REACTION FORCES /com, WITH EXPECTED RESULTS /com, =========================================== /com, /com, Node | Expected | /com,

Mechanical APDL

|

Error

*vwrite,label5(1,1),rf_tab(1,1),rf_tab(1,2),rf_tab(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,-------------------------------------------------------------------------/com, /nopr resume,table_3 /gopr /com, /com,=============================================== /com, COMPARISON OF ELEMENT FORCES AND MOMENTS /com, WITH EXPECTED RESULTS /com,=============================================== /com, /com,-----------------------------------------------/com, Note: Element Forces and Moments for some elements /com, along Y & Z directions are flipped between Mechanical APDL /com, and NRC results /com, /com, Element numbers from Mechanical APDL and NRC are /com, different. /com, Element 1 (Mechanical APDL) = Element 1 (NRC) /com, Element 30 (Mechanical APDL) = Element 35 (NRC) /com, Element 33 (Mechanical APDL) = Element 27 (NRC) /com,-----------------------------------------------/com,

2452


Ratio


vm-nr1677-2-2a-a Input Listing /com, /com,=============== /com, Element 1 /com,=============== /com, *vwrite,label3(1,1),elem_tab(1,1),elem_tab(1,2),elem_tab(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(19,1),elem_tab(19,2),elem_tab(19,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com, /com,=============== /com, Element 35 /com,=============== /com, *vwrite,label3(1,1),elem_tab(7,1),elem_tab(7,2),elem_tab(7,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(25,1),elem_tab(25,2),elem_tab(25,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com, /com,=============== /com, Element 27 /com,=============== /com, *vwrite,label3(1,1),elem_tab(13,1),elem_tab(13,2),elem_tab(13,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(31,1),elem_tab(31,2),elem_tab(31,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,-------------------------------------------------------------------------/com,

/out, *list,vm-nr1677-2-1c-a,vrt finish

vm-nr1677-2-2a-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-2-2a-a /title,vm-nr1677-2-2a-a,NRC piping benchmarks problems,Volume II, Problem 2a /com, *************************************************************************** /com, Reference: Piping benchmark problems,Dynamic analysis independant support /com, motion response spectrum method, P. Bezler, M. Subudhi and /com, M.Hartzman, NUREG/CR--1677-Vol.2, August 1985. /com,


2453

NRC Piping Benchmarks Input Listings /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com,

Elements used: Pipe16, Pipe18, Combin14 and Mass21 Results comparsion: The following results are compared against NRC piping benchmark values 1. Frequencies obtained from modal solution. 2. Maximum nodal displacements and rotations obtained from spectrum solution. 3. Element forces/moments obtained from spectrum solution. 4. Reaction forces obtained from spectrum solution. *******************************************************************************

/out,scratch /prep7 YoungModulus1 = .240e+8 ! Young's Modulus Nu = 0.3 ! Minor Poisson's Ratio ShearModulus1 = YoungModulus1/(2*(1+Nu)) ! Shear Modulus WMass=0.001056893 ! Density WTick=0.241 ! Wall Thickness k=0.71e-5 OD=7.288 ! Outer Diameter RADCUR=36.30 ! Radius of Curvature temp=80 ! Temperature maxm=25 ! No. of Modes to Extract et,1,pipe16 et,2,pipe18 et,3,combin14 keyopt,3,2,1 et,4,combin14 keyopt,4,2,2 et,5,combin14 keyopt,5,2,3 et,6,mass21 keyopt,6,3,2

! Element 1 - PIPE16 ! Element 2 - PIPE18 ! Element 3 - COMBIN14 ! X Degree of Freedom ! Element 4 - COMBIN14 ! Y Degree of Freedom ! Element 5 - COMBIN14 ! Z Degree of Freedom ! Element 6 - MASS21 ! 3D mass without inertia

/com,-----------------------------------------------------------------------------------/com, Real Constants /com,**************** r, r, r, r, r, r,

1, 2, 3, 4, 5, 6,

OD, WTick OD, WTick, RADCUR 0.1e+5 0.1e+9 0.1e+11 1.518

/com,-----------------------------------------------------------------------------------/com, Material Properties /com,********************* mp,ex, 1, YoungModulus1 mp,nuxy,1, Nu mp,gxy ,1, ShearModulus1 mp,dens,1, WMass mp,kxx,1, k mp,ex, 2, YoungModulus1 mp,nuxy,2, Nu mp,gxy ,2, ShearModulus1 mp,dens,2, WMass mp,kxx,2, K /com,-----------------------------------------------------------------------------------/com, Nodes /com,*******

2454


vm-nr1677-2-2a-a Input Listing n,1,0,0,0 n,2,0,54.45,0 n,3,0,108.9,0 n,4,10.632,134.568,0 n,5,36.3,145.2,0 n,6,54.15,145.2,0 n,7,72.0,145.2,0 n,8,97.668,145.2,10.632 n,9,108.3,145.2,36.3 n,10,108.3,145.2,56.8 n,11,108.3,145.2,77.3 n,12,108.3,145.2,97.8 n,13,108.3,145.2,118.3 n,14,108.3,145.2,188.8 n,15,108.3,181.5,225.1 n,16,108.3,236,225.1 n,17,108.3,290,225.1 n,18,148.3,145.2,97.8 n,19,188.3,145.2,97.8 n,20,224.6,145.2,61.5 n,21,224.6,145.2,20 /com, /com, Elastic Support Nodes /com,*********************** n,22,1,0,0 n,23,0,1,0 n,24,0,0,1 n,25,72,145.2,-1 n,26,109.3,145.2,36.3 n,27,108.3,146.2,77.3 n,28,108.3,146.2,118.3 n,29,107.3,182.5,226.5 n,30,109.3,290,225.1 n,31,108.3,291,225.1 n,32,108.3,290,226.1 n,33,225.6,145.2,20 n,34,224.6,146.2,20 n,35,224.6,145.2,21 /com,-----------------------------------------------------------------------------------/com, /com, Straight Pipe (Tangent) Elements /com,********************************** mat,1 type,1 real,1

! Material ID 1 ! Element Type 1 ! Real Constant Set 1

en, 1, 1, 2 en, 2, 2, 3 en, 5, 5, 6 en, 6, 6, 7 en, 9, 9,10 en,10,10,11 en,11,11,12 en,12,12,13 en,13,13,14 en,15,15,16 en,16,16,17 en,17,12,18 en,18,18,19 en,20,20,21 /com, /com, Pipe Bend Elements /com,******************** mat,2 type,2


2455

NRC Piping Benchmarks Input Listings real,2 en, 3, 3, 4, 2 en, 4, 4, 5, 6 en, 7, 7, 8, 6 en, 8, 8, 9,10 en,14,14,15,16 en,19,19,20,18 /com, /com, Elastic Supports and Anchors /com,****************************** ! rotate nodes with less than 3 supports wplane,,nx(15),ny(15),nz(15),nx(29),ny(29),nz(29),nx(16),ny(16),nz(16) cswplane,11,0 nrotat,15 nrotat,29 csys,0 real,3 type,4 e,11,27 e,13,28

! 0.1e+5 ! local y

real,4 type,3 e,9,26 e,15,29

! 0.1e+9 !local x

type,5 e,7,25

!local z

real,5 type,3 e,1,22 e,17,30 e,21,33

! 0.1e+11 !local x

type,4 e,1,23 e,17,31 e,21,34

! local y

type,5 e,1,24 e,17,32 e,21,35

! local z

/com /com, Mass Elements /com,*************** type,6 real,6 e,18 /com,-----------------------------------------------------------------------------------/com, /com, Constraints /com,************* nsel,,node,,22,35 d,all,all allsel d,1,rotx,,,,,roty,rotz d,21,rotx,,,,,roty,rotz allsel,all /com, Loading

2456


vm-nr1677-2-2a-a Input Listing /com,********* /com, **Internal Pressure on PIPE elements** esel,s,ename,,18 esel,a,ename,,16 sfe,all,1,pres,,350 allsel,all save finish /com,-----------------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal ! Perform Modal Analysis modopt,lanb,maxm lumpm,on ! Use Lumped Mass Matrix Approximation mxpand,maxm,,,yes ! Expand Solutions with Element Calculations ON solve save /com, /com,=========================== /com, Compare Modal Frequencies /com,=========================== /com, *dim,Amode,ARRAY,maxm *dim,Emode,ARRAY,maxm *dim,ERmode,ARRAY,maxm *dim,moden,ARRAY,maxm *do,i,1,maxm *GET, Amode(i), MODE, i, FREQ *enddo *VFILL,Emode,DATA,9.36,12.706,15.377,17.797,21.603,25.098,32.035,38.069,40.293,48.898 *VFILL,Emode(11),DATA,57.515,61.5,62.541,69.348,77.444,78.881,101.715,103.583,107.966,115.098 *VFILL,Emode(21),DATA,135.244,155.22,160.601,203.789,209.925, *do,i,1,maxm ERmode(i)=ABS(Amode(i)/Emode(i)) moden(i)=i *enddo save,table_1 finish /com,-----------------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr spopt,sprs,maxm srss,0.0

! Perform Spectrum Analysis ! Single Point Excitation Response Spectrum

gval = 386.4 /com, /com, spectrum 1 (X) /com,**************** svtyp, 2, gval


2457

NRC Piping Benchmarks Input Listings freq,0.4,0.630119723,0.64516129,1.124985938,1.374948439,1.705029838,2.420135528,2.750275028,3.41997264 SV,,2.7,0.814,0.81,4.15,4.15,2.4,1.7,1.46,1.6, freq,4.679457183,5.720823799,6.600660066,9.900990099,15.12859304,16.50165017,39.0625 sv,,2.05,2.05,1.75,0.9,0.77,0.65,0.65,, sed,1,0,0 ! Excitation in X direction solve /com, /com, spectrum 2 (Y) - coef 1 /com,************************* svtyp, 2, gval freq FREQ,0.4,0.740740741,1.124985938,1.374948439,1.759943682,2.474634991,3.571428571,5.399568035,6.600660066 SV,,0.34,1.15,2.87,2.87,1.5,0.9,0.87,1.32,1.32 FREQ,8.802816901,10.20408163,15.50387597,39.0625 Sv,,0.73,0.55,0.37,0.37 sed,0,1,0 ! Excitation in Y direction solve /com /com, spectrum 2 (Z) - coef 1 /com,************************* svtyp, 2, gval freq FREQ,0.4,0.689655172,1.124985938,1.374948439,1.766160367,2.699784017,4.500450045,5.500550055,6.501950585 SV,,0.34,1.06,3.55,3.55,1.95,1.08,1.38,1.38,1.3 FREQ,7.974481659,13.00390117,17.51313485,39.0625 SV,,1,0.65,0.55,0.55 sed,0,0,1 ! Excitation in Z direction solve finish /com,-----------------------------------------------------------------------------------/post1 /input,,mcom /com,----------------------------------/com, *Labels* *dim,label2,char,1,6 *dim,label3,char,6,1 *dim,label4,char,6,1 *dim,label5,char,5,1 /com,------------------------label2(1,1) label2(1,2) label2(1,3) label2(1,4) label2(1,5) label2(1,6)


/com,----------------------label3(1,1)='PX(I)' label3(2,1)='VY(I)' label3(3,1)='VZ(I)' label3(4,1)='TX(I)' label3(5,1)='MY(I)' label3(6,1)='MZ(I)' /com,----------------------label4(1,1)='PX(J)' label4(2,1)='VY(J)' label4(3,1)='VZ(J)' label4(4,1)='TX(J)'

2458


vm-nr1677-2-2a-a Input Listing label4(5,1)='MY(J)' label4(6,1)='MZ(J)' /com,------------------------label5(1,1)='23' label5(2,1)='26' label5(3,1)='28' label5(4,1)='33' label5(5,1)='34' /com,----------------------------------/com,-----------------------------------------------------------------------------------/com, /com,======================================================== /com, Maximum nodal displacements and rotations comparsion /com,======================================================== /com, /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,14,U,X *GET,AdisY,NODE,8,U,Y *GET,AdisZ,NODE,4,U,Z *GET,ArotX,NODE,3,ROT,X *GET,ArotY,NODE,7,ROT,Y *GET,ArotZ,NODE,17,ROT,Z /com, /com, Expected results from NRC manual /com, ********************************* *SET,EdisX,8.49378e-02 *SET,EdisY,3.79278e-02 *SET,EdisZ,9.07052e-02 *SET,ErotX,1.02681e-03 *SET,ErotY,1.89200e-03 *SET,ErotZ,9.07075e-04 /com, /com, Error computation /com,******************** ERdisX=ABS(AdisX/EdisX) ERdisY=ABS(AdisY/EdisY) ERdisZ=ABS(AdisZ/EdisZ) ERrotX=ABS((ArotX)/(ErotX)) ERrotY=ABS((ArotY)/(ErotY)) ERrotZ=ABS((ArotZ)/(ErotZ)) *dim,value,,6,3 *vfill,value(1,1),data,EdisX *vfill,value(1,2),data,AdisX *vfill,value(1,3),data,ERdisX *vfill,value(2,1),data,EdisY *vfill,value(2,2),data,AdisY *vfill,value(2,3),data,ERdisY *vfill,value(3,1),data,EdisZ *vfill,value(3,2),data,AdisZ *vfill,value(3,3),data,ERdisZ *vfill,value(4,1),data,ErotX *vfill,value(4,2),data,ArotX *vfill,value(4,3),data,ERrotX *vfill,value(5,1),data,ErotY


2459

NRC Piping Benchmarks Input Listings *vfill,value(5,2),data,ArotY *vfill,value(5,3),data,ERrotY *vfill,value(6,1),data,ErotZ *vfill,value(6,2),data,ArotZ *vfill,value(6,3),data,ERrotZ save,table_2 /com,-----------------------------------------------------------------------------------/com,======================================================== /com, Element Forces and Moments Comparison /com,======================================================== /com, Solution obtained from Mechanical APDL /com,****************************** *dim,elem_res_I,,3,6 *dim,elem_res_J,,3,6 *dim,pxi,,3 *dim,vyi,,3 *dim,vzi,,3 *dim,txi,,3 *dim,myi,,3 *dim,mzi,,3 *dim,pxj,,3 *dim,vyj,,3 *dim,vzj,,3 *dim,txj,,3 *dim,myj,,3 *dim,mzj,,3 esel,s,ename,,16 esel,a,ename,,18 /com,========== /com, Node I /com,========== /com, Element #1 /com,*********** *get,pxi(1,1),elem,1,smisc,1 *get,vyi(1,1),elem,1,smisc,2 *get,vzi(1,1),elem,1,smisc,3 *get,txi(1,1),elem,1,smisc,4 *get,myi(1,1),elem,1,smisc,5 *get,mzi(1,1),elem,1,smisc,6 *vfill,elem_res_I(1,1),data,pxi(1,1) *vfill,elem_res_I(1,2),data,vyi(1,1) *vfill,elem_res_I(1,3),data,vzi(1,1) *vfill,elem_res_I(1,4),data,txi(1,1) *vfill,elem_res_I(1,5),data,myi(1,1) *vfill,elem_res_I(1,6),data,mzi(1,1) /com, Element #20 /com,************* *get,pxi(2,1),elem,20,smisc,1 *get,vyi(2,1),elem,20,smisc,2 *get,vzi(2,1),elem,20,smisc,3 *get,txi(2,1),elem,20,smisc,4 *get,myi(2,1),elem,20,smisc,5 *get,mzi(2,1),elem,20,smisc,6 *vfill,elem_res_I(2,1),data,pxi(2,1) *vfill,elem_res_I(2,2),data,vyi(2,1) *vfill,elem_res_I(2,3),data,vzi(2,1)

2460


vm-nr1677-2-2a-a Input Listing *vfill,elem_res_I(2,4),data,txi(2,1) *vfill,elem_res_I(2,5),data,myi(2,1) *vfill,elem_res_I(2,6),data,mzi(2,1) /com, Element #8 /com,************* *get,pxi(3,1),elem,8,smisc,1 *get,vyi(3,1),elem,8,smisc,2 *get,vzi(3,1),elem,8,smisc,3 *get,txi(3,1),elem,8,smisc,4 *get,myi(3,1),elem,8,smisc,5 *get,mzi(3,1),elem,8,smisc,6 *vfill,elem_res_I(3,1),data,pxi(3,1) *vfill,elem_res_I(3,2),data,vyi(3,1) *vfill,elem_res_I(3,3),data,vzi(3,1) *vfill,elem_res_I(3,4),data,txi(3,1) *vfill,elem_res_I(3,5),data,myi(3,1) *vfill,elem_res_I(3,6),data,mzi(3,1)

/com,========== /com, Node J /com,========== /com, Element #1 /com,************ *get,pxj(1,1),elem,1,smisc,7 *get,vyj(1,1),elem,1,smisc,8 *get,vzj(1,1),elem,1,smisc,9 *get,txj(1,1),elem,1,smisc,10 *get,myj(1,1),elem,1,smisc,11 *get,mzj(1,1),elem,1,smisc,12 *vfill,elem_res_J(1,1),data,pxj(1,1) *vfill,elem_res_J(1,2),data,vyj(1,1) *vfill,elem_res_J(1,3),data,vzj(1,1) *vfill,elem_res_J(1,4),data,txj(1,1) *vfill,elem_res_J(1,5),data,myj(1,1) *vfill,elem_res_J(1,6),data,mzj(1,1) /com, Element #20 /com,************* *get,pxj(2,1),elem,20,smisc,7 *get,vyj(2,1),elem,20,smisc,8 *get,vzj(2,1),elem,20,smisc,9 *get,txj(2,1),elem,20,smisc,10 *get,myj(2,1),elem,20,smisc,11 *get,mzj(2,1),elem,20,smisc,12 *vfill,elem_res_J(2,1),data,pxj(2,1) *vfill,elem_res_J(2,2),data,vyj(2,1) *vfill,elem_res_J(2,3),data,vzj(2,1) *vfill,elem_res_J(2,4),data,txj(2,1) *vfill,elem_res_J(2,5),data,myj(2,1) *vfill,elem_res_J(2,6),data,mzj(2,1) /com, Element #8 /com,************* *get,pxj(3,1),elem,8,smisc,7 *get,vyj(3,1),elem,8,smisc,8 *get,vzj(3,1),elem,8,smisc,9 *get,txj(3,1),elem,8,smisc,10 *get,myj(3,1),elem,8,smisc,11 *get,mzj(3,1),elem,8,smisc,12 *vfill,elem_res_J(3,1),data,pxj(3,1) *vfill,elem_res_J(3,2),data,vyj(3,1)


2461

NRC Piping Benchmarks Input Listings *vfill,elem_res_J(3,3),data,vzj(3,1) *vfill,elem_res_J(3,4),data,txj(3,1) *vfill,elem_res_J(3,5),data,myj(3,1) *vfill,elem_res_J(3,6),data,mzj(3,1) /com,---------------------------------------------------------------------------/com, Results from NRC benchmarks /com, *************************** *dim,exp_I,,3,6 *dim,exp_J,,3,6 /com, Element #1 /com,************ *vfill,exp_I(1,1),data,6.496e+01 *vfill,exp_I(1,2),data,9.050e+01 *vfill,exp_I(1,3),data,1.774e+02 *vfill,exp_I(1,4),data,5.110e+03 *vfill,exp_I(1,5),data,1.635e+04 *vfill,exp_I(1,6),data,7.002e+03 *vfill,exp_J(1,1),data,6.496e+01 *vfill,exp_J(1,2),data,9.050e+01 *vfill,exp_J(1,3),data,1.774e+02 *vfill,exp_J(1,4),data,5.110e+03 *vfill,exp_J(1,5),data,7.138e+03 *vfill,exp_J(1,6),data,3.188e+03 /com, Element #20 /com,************* *vfill,exp_I(2,1),data,2.451e+02 *vfill,exp_I(2,2),data,1.916e+02 *vfill,exp_I(2,3),data,3.779e+02 *vfill,exp_I(2,4),data,2.314e+03 *vfill,exp_I(2,5),data,3.823e+03 *vfill,exp_I(2,6),data,3.268e+03 *vfill,exp_J(2,1),data,2.451e+02 *vfill,exp_J(2,2),data,1.916e+02 *vfill,exp_J(2,3),data,3.779e+02 *vfill,exp_J(2,4),data,2.314e+03 *vfill,exp_J(2,5),data,1.660e+04 *vfill,exp_j(2,6),data,1.114e+04 /com, Element #8 /com,************* *vfill,exp_I(3,1),data,4.463e+02 *vfill,exp_I(3,2),data,3.256e+01 *vfill,exp_I(3,3),data,5.178e+02 *vfill,exp_I(3,4),data,2.967e+03 *vfill,exp_I(3,5),data,1.202e+04 *vfill,exp_I(3,6),data,7.986e+02 *vfill,exp_J(3,1),data,6.648e+02 *vfill,exp_J(3,2),data,3.256e+01 *vfill,exp_J(3,3),data,1.591e+02 *vfill,exp_J(3,4),data,2.021e+03 *vfill,exp_J(3,5),data,2.052e+04 *vfill,exp_J(3,6),data,2.487e+03 /com,--------------------------------------------------------------------------/com, Error computation /com, ********************* *dim,elem_error_I,,3,6 *dim,elem_error_J,,3,6 *dim,elem_tab,,36,3

2462



/com,============ /com, Node I /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_I(i,j),data,abs(elem_res_I(i,j)/exp_I(i,j)) *enddo *enddo /com,============ /com, Node J /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_J(i,j),data,abs(elem_res_J(i,j)/exp_J(i,j)) *enddo *enddo /com,-------------------------------------------------------------------------*do,i,1,3 cs=(i-1)*6 *do,j,1,6 n=cs+j *vfill,elem_tab(n,1),data,exp_I(i,j) *vfill,elem_tab(n,2),data,elem_res_I(i,j) *vfill,elem_tab(n,3),data,elem_error_I(i,j) *enddo *do,j,1,6 m=cs+j+18 *vfill,elem_tab(m,1),data,exp_J(i,j) *vfill,elem_tab(m,2),data,elem_res_J(i,j) *vfill,elem_tab(m,3),data,elem_error_J(i,j) *enddo *enddo save,table_3 /com,-----------------------------------------------------------------------------------/com,***************************** /com, Reaction forces comparision /com,****************************** *dim,rf_tab,,5,3 /com, Solution obtained from Mechanical APDL /com,****************************** *GET,RFA23,NODE,23,RF,FY *GET,RFA26,NODE,26,RF,FX *GET,RFA28,NODE,28,RF,FY *GET,RFA33,NODE,33,RF,FX *GET,RFA34,NODE,34,RF,FY /com, Expected results from NRC manual /com,********************************** *SET,RFE23,65 *SET,RFE26,446 *SET,RFE28,164 *SET,RFE33,378 *SET,RFE34,192 /com, Error computation /com,******************* ER23=ABS(RFA23/RFE23)


2463

NRC Piping Benchmarks Input Listings ER26=ABS(RFA26/RFE26) ER28=ABS(RFA28/RFE28) ER33=ABS(RFA33/RFE33) ER34=ABS(RFA34/RFE34) *vfill,rf_tab(1,1),data,RFE23 *vfill,rf_tab(1,2),data,RFA23 *vfill,rf_tab(1,3),data,ER23 *vfill,rf_tab(2,1),data,RFE26 *vfill,rf_tab(2,2),data,RFA26 *vfill,rf_tab(2,3),data,ER26 *vfill,rf_tab(3,1),data,RFE28 *vfill,rf_tab(3,2),data,RFA28 *vfill,rf_tab(3,3),data,ER28 *vfill,rf_tab(4,1),data,RFE33 *vfill,rf_tab(4,2),data,RFA33 *vfill,rf_tab(4,3),data,ER33 *vfill,rf_tab(5,1),data,RFE34 *vfill,rf_tab(5,2),data,RFA34 *vfill,rf_tab(5,3),data,ER34 save,table_4 /com,

/com,-----------------------------------------------------------------------------------/com, /out, /com, /com, ----------------------vm-nr1677-2-2a-a Results Verification--------------------------/com, /nopr resume,table_1 /gopr, /out,vm-nr1677-2-2a-a,vrt /com, /com, =========================================== /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, =========================================== /com, /com, Mode | Expected | Mechanical APDL | /com,

Ratio

*VWRITE,moden(1),Emode(1),Amode(1),ERmode(1) (1X,F3.0,2X,F8.4,3X,F8.4,3X,F4.2,' ') /com, /com,-----------------------------------------------------------------------------------/com,

/nopr resume,table_2 /gopr /com, /com,==================================================== /com, COMPARISON OF NODAL DISPLACEMENTS AND ROTATIONS /com, WITH EXPECTED RESULTS

2464


vm-nr1677-2-2a-a Input Listing /com,==================================================== /com, /com, /com,


Ratio

*vwrite,label2(1,1),value(1,1),value(1,2),value(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,2),value(2,1),value(2,2),value(2,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,3),value(3,1),value(3,2),value(3,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,4),value(4,1),value(4,2),value(4,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,5),value(5,1),value(5,2),value(5,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,6),value(6,1),value(6,2),value(6,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,------------------------------------------------------------------------/com, /nopr resume,table_4 /gopr /com, /com, =========================================== /com, COMPARISON OF REACTION FORCES /com, WITH EXPECTED RESULTS /com, =========================================== /com, /com, Node | Expected | /com,

Mechanical APDL

|

Ratio

*vwrite,label5(1,1),rf_tab(1,1),rf_tab(1,2),rf_tab(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,-------------------------------------------------------------------------/com, /nopr resume,table_3 /gopr /com, /com,=============================================== /com, COMPARISON OF ELEMENT FORCES AND MOMENTS /com, WITH EXPECTED RESULTS /com,=============================================== /com, /com,-----------------------------------------------------/com, Note: Element Forces and Moments for some elements /com, along Y & Z directions are flipped between Mechanical APDL /com, and NRC results /com,-------------------------------------------------------/com, /com,


Ratio

/com,=============== /com, Element 1 /com,=============== /com, *vwrite,label3(1,1),elem_tab(1,1),elem_tab(1,2),elem_tab(1,3)


2465

NRC Piping Benchmarks Input Listings (1x,a8,'

',f10.4,'

',f10.4,'

',f5.3)

/com, *vwrite,label4(1,1),elem_tab(19,1),elem_tab(19,2),elem_tab(19,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com, /com,=============== /com, Element 20 /com,=============== /com, *vwrite,label3(1,1),elem_tab(7,1),elem_tab(7,2),elem_tab(7,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(25,1),elem_tab(25,2),elem_tab(25,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com, /com,=============== /com, Element 8 /com,=============== /com, *vwrite,label3(1,1),elem_tab(13,1),elem_tab(13,2),elem_tab(13,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(31,1),elem_tab(31,2),elem_tab(31,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)


vm-nr1677-2-2b-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-2-2b-a /title,vm-nr1677-2-2b-a,NRC piping benchmarks problems,Volume II,Problem 2b /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com,

2466


Elements used: Pipe16, Pipe18, Combin14, Mass21 Results comparsion: The following results are compared against NRC piping benchmark values 1. Frequencies obtained from modal solution.


vm-nr1677-2-2b-a Input Listing /com, /com, /com, /com, /com,

2. Maximum nodal displacements and rotations obtained from spectrum solution. 3. Element forces/moments obtained from spectrum solution. 4. Reaction forces obtained from spectrum solution. *******************************************************************************

/out,scratch /prep7 YoungModulus1 = .240e+8 ! Young's Modulus Nu = 0.3 ! Minor Poisson's Ratio ShearModulus1 = YoungModulus1/(2*(1+Nu)) ! Shear Modulus WMass=0.001056893 ! Density WTick=0.241 ! Wall Thickness k=0.71e-5 OD=7.288 ! Outer Diameter RADCUR=36.30 ! Radius of Curvature temp=80 ! Temperature maxm=25 ! No. of Modes to Extract et,1,pipe16 et,2,pipe18 et,3,combin14 keyopt,3,2,1 et,4,combin14 keyopt,4,2,2 et,5,combin14 keyopt,5,2,3 et,6,mass21 keyopt,6,3,2



1, 2, 3, 4, 5, 6,


/com,-----------------------------------------------------------------------------------/com, Material Properties /com,********************* mp,ex, 1, YoungModulus1 mp,nuxy,1, Nu mp,gxy ,1, ShearModulus1 mp,dens,1, WMass mp,kxx,1, k mp,ex, 2, YoungModulus1 mp,nuxy,2, Nu mp,gxy ,2, ShearModulus1 mp,dens,2, WMass mp,kxx,2, K /com,-----------------------------------------------------------------------------------/com, Nodes /com,******* n,1,0,0,0 n,2,0,54.45,0 n,3,0,108.9,0 n,4,10.632,134.568,0 n,5,36.3,145.2,0 n,6,54.15,145.2,0


2467

NRC Piping Benchmarks Input Listings n,7,72.0,145.2,0 n,8,97.668,145.2,10.632 n,9,108.3,145.2,36.3 n,10,108.3,145.2,56.8 n,11,108.3,145.2,77.3 n,12,108.3,145.2,97.8 n,13,108.3,145.2,118.3 n,14,108.3,145.2,188.8 n,15,108.3,181.5,225.1 n,16,108.3,236,225.1 n,17,108.3,290,225.1 n,18,148.3,145.2,97.8 n,19,188.3,145.2,97.8 n,20,224.6,145.2,61.5 n,21,224.6,145.2,20 /com, /com, Elastic Support Nodes /com,*********************** n,22,1,0,0 n,23,0,1,0 n,24,0,0,1 n,25,72,145.2,-1 n,26,109.3,145.2,36.3 n,27,108.3,146.2,77.3 n,28,108.3,146.2,118.3 n,29,107.3,182.5,226.5 n,30,109.3,290,225.1 n,31,108.3,291,225.1 n,32,108.3,290,226.1 n,33,225.6,145.2,20 n,34,224.6,146.2,20 n,35,224.6,145.2,21 /com,-----------------------------------------------------------------------------------/com, /com, Straight Pipe (Tangent) Elements /com,********************************** mat,1 type,1 real,1


en, 1, 1, 2 en, 2, 2, 3 en, 5, 5, 6 en, 6, 6, 7 en, 9, 9,10 en,10,10,11 en,11,11,12 en,12,12,13 en,13,13,14 en,15,15,16 en,16,16,17 en,17,12,18 en,18,18,19 en,20,20,21 /com, /com, Pipe Bend Elements /com,******************** mat,2 type,2 real,2 en, en, en, en,

2468

3, 4, 7, 8,

3, 4, 7, 8,

4, 2 5, 6 8, 6 9,10


vm-nr1677-2-2b-a Input Listing en,14,14,15,16 en,19,19,20,18 /com, /com, Elastic Supports and Anchors /com,****************************** ! rotate nodes with less than 3 supports wplane,,nx(15),ny(15),nz(15),nx(29),ny(29),nz(29),nx(16),ny(16),nz(16) cswplane,11,0 nrotat,15 nrotat,29 csys,0 real,3 type,4 e,11,27 e,13,28

! 0.1e+5 ! local y

real,4 type,3 e,9,26 e,15,29

! 0.1e+9 !local x

type,5 e,7,25

!local z

real,5 type,3 e,1,22 e,17,30 e,21,33

! 0.1e+11 !local x

type,4 e,1,23 e,17,31 e,21,34

! local y

type,5 e,1,24 e,17,32 e,21,35

! local z

/com /com, Mass Elements /com,*************** type,6 real,6 e,18 /com,-----------------------------------------------------------------------------------/com, /com, Constraints /com,************* nsel,,node,,22,35 d,all,all allsel d,1,rotx,,,,,roty,rotz d,21,rotx,,,,,roty,rotz allsel,all /com, Loading /com,********* /com, **Internal Pressure on PIPE elements** esel,s,ename,,18 esel,a,ename,,16 sfe,all,1,pres,,350


2469

NRC Piping Benchmarks Input Listings allsel,all save finish /com,-----------------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal modopt,lanb,maxm lumpm,on ! Use Lumped Mass Matrix Approximation mxpand,maxm,,,yes ! Expand Solutions with Element Calculations ON solve save /com, /com,=========================== /com, Compare Modal Frequencies /com,=========================== /com, *dim,Amode,ARRAY,maxm *dim,Emode,ARRAY,maxm *dim,ERmode,ARRAY,maxm *dim,moden,ARRAY,maxm *do,i,1,maxm *GET, Amode(i), MODE, i, FREQ *enddo *VFILL,Emode,DATA,9.36,12.706,15.377,17.797,21.603,25.098,32.035,38.069,40.293,48.898 *VFILL,Emode(11),DATA,57.515,61.5,62.541,69.348,77.444,78.881,101.715,103.583,107.966,115.098 *VFILL,Emode(21),DATA,135.244,155.22,160.601,203.789,209.925, *do,i,1,maxm ERmode(i)=ABS(Amode(i)/Emode(i)) moden(i)=i *enddo save,table_1 finish /com,-----------------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr spopt,mprs,maxm


gval = 386.4 /com, /com, spectrum 1 (group 1 - X) /com,************************** spunit,1,accg, gval spfrq,1,0.4,0.719942405,0.900090009,1.099989,1.350074254,1.800180018,2.200220022 spval,1,, 0.13,0.22,0.57,0.57,0.38,0.63,0.63 spfrq,1,2.699784017,3.51000351,4.679457183,5.720823799,6.600660066,8.576329331,11.00110011 spval,1,, 0.75,1.15,1.42,1.42,1.29,0.85,0.42 spfrq,1,33.00330033,34.96503497,39.0625

2470


vm-nr1677-2-2b-a Input Listing spval,1,,0.25,0.22,0.22 /com, /com, spectrum 2 (group 1 - Y) /com,************************** spunit,2,accg, gval spfrq,2,0.4,0.639795266,0.900090009,1.099989,1.43000143,1.649892757,1.800180018 spval,2,,0.18,0.18,0.995,0.995,0.715,0.35,0.42, spfrq,2, 3.500175009,4.500450045,5.500550055,6.600660066,8.703220191,9.35453695,15.40832049 spval,2,,0.77,0.998,0.998,0.9,0.68,0.42,0.22 spfrq,2,16,28.49002849,31.94888179,39.0625 spval,2,,0.205,0.205,0.19,0.19 /com, /com, spectrum 3 (group 1 - Z) /com,************************** spunit,3,accg, gval spfrq,3,0.4,0.599880024,1.124985938,1.374948439,1.539882969,2.200220022,2.5 spval,3,, 0.17,0.17,1.6,1.6,0.78,0.3,0.3 spfrq,3,3.599712023,4.500450045,5.500550055,8.051529791,14.30615165,21.97802198,25.97402597 spval,3,,0.51,0.63,0.63,0.47,0.24,0.2,0.17 spfrq,3,39.0625 spval,3,,0.17 /com, /com, spectrum 4 (group 2 - X) /com,************************** spunit,4,accg, gval spfrq,4,0.4,0.480076812,0.539956803,1.17000117,1.43000143,1.649892757,2 spval,4,,0.17,0.17,0.23,2.25,2.25,1.07,0.75 spfrq,4,3.300330033,17.6056338,21.97802198,39.0625 spval,4,,0.38,0.03,0.23,0.23 /com, /com, spectrum 5 (group 2 - Y) /com,************************** spunit,5,accg, gval spfrq,5,0.4,0.610128127,1.124985938,1.374948439,1.759943682,2.474634991,4.500450045 spval,5,,0.17,0.3,2.87,2.87,1.5,0.9,0.85 spfrq,5,5.500550055,8,15.50387597,39.0625 spval,5,,0.85,0.65,0.37,0.37 /com, /com, spectrum 6 (group 2 - Z) /com,************************** spunit,6,accg, gval spfrq,6,0.4,0.5,0.599880024,1.124985938,1.374948439,1.700102006,2.699784017 spval,6,,0.2,0.2,0.362,3.55,3.55,1.95,1.08 spfrq,6,4.500450045,5.500550055,6.501950585,7.974481659,13.00390117,17.51313485,39.0625 spval,6,,1.38,1.38,1.3,1,0.65,0.55,0.55 /com, /com, spectrum 7 (group 3 - X) /com,************************** spunit,7,accg, gval


2471


spfrq,7,0.4,0.60204696,1.124985938,1.374948439,1.705029838,2.420135528,2.750275028 spval,7,,0.18,0.42,4.15,4.15,2.4,1.7,1.46 spfrq,7,3.41997264,4.679457183,5.720823799,6.600660066,9.900990099,15.12859304,16.50165017 spval,7,,1.6,2.05,2.05,1.75,0.9,0.77,0.65 spfrq,7,39.0625 spval,7,,0.65 /com, /com, spectrum 8 (group 3 - Y) /com,************************** spunit,8,accg, gval spfrq,8,0.4,0.576036866,0.704225352,0.900090009,1.080030241,1.800180018,2.610284521 spval,8,,0.14,0.28,0.28,0.17,0.28,0.53,0.56 spfrq,8,5.399568035,6.600660066,8.802816901,11.00110011,24.75247525,27.47252747,40 spval,8,,1.32,1.32,0.73,0.42,0.25,0.23,0.23 /com, /com, spectrum 9 (group 3 - Z) /com,************************** spunit,9,accg, gval spfrq,9,0.4,0.603136309,0.736919676,0.934579439,1.099989,1.374948439,1.425110446 spval,9,,0.224,0.535,0.535,0.498,0.25,0.195,0.125 spfrq,9,1.619957881,2.66028199,3.599712023,5.399568035,6.600660066,8.802816901,14.02524544 spval,9,,0.17,0.214,0.33,0.55,0.55,0.346,0.18 spfrq,9,17.00680272,28.65329513,31.94888179,39.0625 spval,9,,0.135,0.125,0.112,0.112 /com, /com, spectrum 10 (group 4 - X) /com,*************************** spunit,10,accg, gval spfrq,10,0.4,0.630119723,0.765110941,0.934579439,1.319957761,2.035002035,2.699784017 spval,10,, 0.27,0.814,0.85,0.85,0.536,0.335,0.265 spfrq,10,5.399568035,6.600660066,8.802816901,14.85884101,18.01801802,39.0625 spval,10,, 0.31,0.31,0.215,0.14,0.126,0.126 /com, /com, spectrum 11 (group 4 - Y) /com,*************************** spunit,11,accg, gval spfrq,11,0.4,0.765110941,0.934579439,1.374948439,1.665001665,2.035002035,4.319654428 spval,11,,0.34,1.2,1.2,0.85,0.68,0.68,0.85 spfrq,11,5.399568035,6.600660066,8.250825083,9.68054211,14.85884101,18.48428835,28.01120448 spval,11,,1.02,1.02,0.73,0.42,0.36,0.26,0.21 spfrq,11,39.0625 spval,11,,0.21 /com, /com, spectrum 12 (group 4 - Z) /com,*************************** spunit,12,accg, gval spfrq,12,0.4,0.765110941,0.934579439,1.374948439,1.665001665,2.035002035,4.319654428 spval,12,,0.34,1.2,1.2,0.85,0.68,0.68,0.85

2472



spfrq,12,5.399568035,6.600660066,8.250825083,9.68054211,14.85884101,18.48428835,28.01120448 spval,12,,1.02,1.02,0.73,0.42,0.36,0.26,0.21 spfrq,12,39.0625 spval,12,,0.21

/com, /com, node components for excitation points /com,*************************************** nsel,,node,,22,24 cm,gp1,node allsel nsel,,node,,25,29 cm,gp2,node allsel

nsel,,node,,30,32 cm,gp3,node allsel nsel,,node,,33,35 cm,gp4,node allsel /com,-----------------------------------------------------------------------------------/com, -- level #1 - spectrum 1 d,gp1,ux,1 pfact,1 d,gp1,all,0 /com, -- level #1 - spectrum 2 d,gp1,uy,1 pfact,2 d,gp1,all,0 /com, -- level #1 - spectrum 3 d,gp1,uz,1 pfact,3 d,gp1,all,0 /com, -- level #2 - spectrum 4 d,26,ux,-1 d,29,ux,0.5025 pfact,4 d,26,all,0 d,29,all,0 /com, -- level #2 - spectrum 5 d,27,uy,-1 d,28,uy,-1 d,29,ux,-0.5025 pfact,5 d,27,all,0 d,28,all,0 d,29,all,0 /com, -- level #2 - spectrum 6 d,25,uz,1 d,29,ux,0.7035 pfact,6 d,25,all,0 d,29,all,0 /com, -- level #3 - spectrum 7 d,gp3,ux,1 pfact,7


2473

NRC Piping Benchmarks Input Listings d,gp3,all,0 /com, -- level #3 - spectrum 8 d,gp3,uy,1 pfact,8 d,gp3,all,0 /com, -- level #3 - spectrum 9 d,gp3,uz,1 pfact,9 d,gp3,all,0

/com, -- level #4 - spectrum 10 d,gp4,ux,1 pfact,10 d,gp4,all,0 /com, -- level #4 - spectrum 11 d,gp4,uy,1 pfact,11 d,gp4,all,0 /com, -- level #4 - spectrum 12 d,gp4,uz,1 pfact,12 d,gp4,all,0 srss,0.0 solve

! Combine modes using SRSS combination

/com,------------------------------------------------------------------------------------

/post1 /input,,mcom /com,----------------------------------/com, *Labels* *dim,label2,char,1,6 *dim,label3,char,6,1 *dim,label4,char,6,1 *dim,label5,char,3,1 /com,------------------------label2(1,1) label2(1,2) label2(1,3) label2(1,4) label2(1,5) label2(1,6)


/com,----------------------label3(1,1)='PX(I)' label3(2,1)='VY(I)' label3(3,1)='VZ(I)' label3(4,1)='TX(I)' label3(5,1)='MY(I)' label3(6,1)='MZ(I)' /com,----------------------label4(1,1)='PX(J)' label4(2,1)='VY(J)' label4(3,1)='VZ(J)' label4(4,1)='TX(J)' label4(5,1)='MY(J)' label4(6,1)='MZ(J)'

2474


vm-nr1677-2-2b-a Input Listing /com,------------------------label5(1,1)='23' label5(2,1)='28' label5(3,1)='35' /com,----------------------------------/com,-----------------------------------------------------------------------------------/com, /com,======================================================== /com, Maximum nodal displacements and rotations comparsion /com,======================================================== /com, /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,14,U,X *GET,AdisY,NODE,8,U,Y *GET,AdisZ,NODE,4,U,Z *GET,ArotX,NODE,3,ROT,X *GET,ArotY,NODE,7,ROT,Y *GET,ArotZ,NODE,17,ROT,Z /com, /com, Expected results from NRC manual /com, ********************************* *SET,EdisX,5.30455e-02 *SET,EdisY,2.41779e-02 *SET,EdisZ,5.73824e-02 *SET,ErotX,6.49739e-04 *SET,ErotY,1.19820e-03 *SET,ErotZ,5.72329e-04 /com, /com, Error computation /com,******************** ERdisX=ABS(AdisX/EdisX) ERdisY=ABS(AdisY/EdisY) ERdisZ=ABS(AdisZ/EdisZ) ERrotX=ABS((ArotX)/(ErotX)) ERrotY=ABS((ArotY)/(ErotY)) ERrotZ=ABS((ArotZ)/(ErotZ)) *dim,value,,6,3 *vfill,value(1,1),data,EdisX *vfill,value(1,2),data,AdisX *vfill,value(1,3),data,ERdisX *vfill,value(2,1),data,EdisY *vfill,value(2,2),data,AdisY *vfill,value(2,3),data,ERdisY *vfill,value(3,1),data,EdisZ *vfill,value(3,2),data,AdisZ *vfill,value(3,3),data,ERdisZ *vfill,value(4,1),data,ErotX *vfill,value(4,2),data,ArotX *vfill,value(4,3),data,ERrotX *vfill,value(5,1),data,ErotY *vfill,value(5,2),data,ArotY *vfill,value(5,3),data,ERrotY *vfill,value(6,1),data,ErotZ *vfill,value(6,2),data,ArotZ


2475

NRC Piping Benchmarks Input Listings *vfill,value(6,3),data,ERrotZ save,table_2 /com,-----------------------------------------------------------------------------------/com,======================================================== /com, Element Forces and Moments Comparison /com,======================================================== /com, Solution obtained from Mechanical APDL /com,****************************** *dim,elem_res_I,,3,6 *dim,elem_res_J,,3,6 *dim,pxi,,3 *dim,vyi,,3 *dim,vzi,,3 *dim,txi,,3 *dim,myi,,3 *dim,mzi,,3 *dim,pxj,,3 *dim,vyj,,3 *dim,vzj,,3 *dim,txj,,3 *dim,myj,,3 *dim,mzj,,3 esel,s,ename,,16 esel,a,ename,,18 /com,========== /com, Node I /com,========== /com, Element #1 /com,*********** *get,pxi(1,1),elem,1,smisc,1 *get,vyi(1,1),elem,1,smisc,2 *get,vzi(1,1),elem,1,smisc,3 *get,txi(1,1),elem,1,smisc,4 *get,myi(1,1),elem,1,smisc,5 *get,mzi(1,1),elem,1,smisc,6 *vfill,elem_res_I(1,1),data,pxi(1,1) *vfill,elem_res_I(1,2),data,vyi(1,1) *vfill,elem_res_I(1,3),data,vzi(1,1) *vfill,elem_res_I(1,4),data,txi(1,1) *vfill,elem_res_I(1,5),data,myi(1,1) *vfill,elem_res_I(1,6),data,mzi(1,1) /com, Element #20 /com,************* *get,pxi(2,1),elem,20,smisc,1 *get,vyi(2,1),elem,20,smisc,2 *get,vzi(2,1),elem,20,smisc,3 *get,txi(2,1),elem,20,smisc,4 *get,myi(2,1),elem,20,smisc,5 *get,mzi(2,1),elem,20,smisc,6 *vfill,elem_res_I(2,1),data,pxi(2,1) *vfill,elem_res_I(2,2),data,vyi(2,1) *vfill,elem_res_I(2,3),data,vzi(2,1) *vfill,elem_res_I(2,4),data,txi(2,1) *vfill,elem_res_I(2,5),data,myi(2,1) *vfill,elem_res_I(2,6),data,mzi(2,1) /com, Element #8

2476


vm-nr1677-2-2b-a Input Listing /com,************* *get,pxi(3,1),elem,8,smisc,1 *get,vyi(3,1),elem,8,smisc,2 *get,vzi(3,1),elem,8,smisc,3 *get,txi(3,1),elem,8,smisc,4 *get,myi(3,1),elem,8,smisc,5 *get,mzi(3,1),elem,8,smisc,6 *vfill,elem_res_I(3,1),data,pxi(3,1) *vfill,elem_res_I(3,2),data,vyi(3,1) *vfill,elem_res_I(3,3),data,vzi(3,1) *vfill,elem_res_I(3,4),data,txi(3,1) *vfill,elem_res_I(3,5),data,myi(3,1) *vfill,elem_res_I(3,6),data,mzi(3,1)

/com,========== /com, Node J /com,========== /com, Element #1 /com,************ *get,pxj(1,1),elem,1,smisc,7 *get,vyj(1,1),elem,1,smisc,8 *get,vzj(1,1),elem,1,smisc,9 *get,txj(1,1),elem,1,smisc,10 *get,myj(1,1),elem,1,smisc,11 *get,mzj(1,1),elem,1,smisc,12 *vfill,elem_res_J(1,1),data,pxj(1,1) *vfill,elem_res_J(1,2),data,vyj(1,1) *vfill,elem_res_J(1,3),data,vzj(1,1) *vfill,elem_res_J(1,4),data,txj(1,1) *vfill,elem_res_J(1,5),data,myj(1,1) *vfill,elem_res_J(1,6),data,mzj(1,1) /com, Element #20 /com,************* *get,pxj(2,1),elem,20,smisc,7 *get,vyj(2,1),elem,20,smisc,8 *get,vzj(2,1),elem,20,smisc,9 *get,txj(2,1),elem,20,smisc,10 *get,myj(2,1),elem,20,smisc,11 *get,mzj(2,1),elem,20,smisc,12 *vfill,elem_res_J(2,1),data,pxj(2,1) *vfill,elem_res_J(2,2),data,vyj(2,1) *vfill,elem_res_J(2,3),data,vzj(2,1) *vfill,elem_res_J(2,4),data,txj(2,1) *vfill,elem_res_J(2,5),data,myj(2,1) *vfill,elem_res_J(2,6),data,mzj(2,1) /com, Element #8 /com,************* *get,pxj(3,1),elem,8,smisc,7 *get,vyj(3,1),elem,8,smisc,8 *get,vzj(3,1),elem,8,smisc,9 *get,txj(3,1),elem,8,smisc,10 *get,myj(3,1),elem,8,smisc,11 *get,mzj(3,1),elem,8,smisc,12 *vfill,elem_res_J(3,1),data,pxj(3,1) *vfill,elem_res_J(3,2),data,vyj(3,1) *vfill,elem_res_J(3,3),data,vzj(3,1) *vfill,elem_res_J(3,4),data,txj(3,1) *vfill,elem_res_J(3,5),data,myj(3,1) *vfill,elem_res_J(3,6),data,mzj(3,1)


2477

NRC Piping Benchmarks Input Listings /com,---------------------------------------------------------------------------/com, Results from NRC benchmarks /com, *************************** *dim,exp_I,,3,6 *dim,exp_J,,3,6 /com, Element #1 /com,************ *vfill,exp_I(1,1),data,4.616e+01 *vfill,exp_I(1,2),data,5.305e+01 *vfill,exp_I(1,3),data,1.129e+02 *vfill,exp_I(1,4),data,3.230e+03 *vfill,exp_I(1,5),data,1.034e+04 *vfill,exp_I(1,6),data,4.209e+03 *vfill,exp_J(1,1),data,4.616e+01 *vfill,exp_J(1,2),data,5.305e+01 *vfill,exp_J(1,3),data,1.129e+02 *vfill,exp_J(1,4),data,3.230e+03 *vfill,exp_J(1,5),data,4.529e+03 *vfill,exp_J(1,6),data,2.005e+03 /com, Element #20 /com,************* *vfill,exp_I(2,1),data,1.155e+02 *vfill,exp_I(2,2),data,1.140e+02 *vfill,exp_I(2,3),data,1.032e+02 *vfill,exp_I(2,4),data,1.361e+03 *vfill,exp_I(2,5),data,2.302e+03 *vfill,exp_I(2,6),data,1.960e+03 *vfill,exp_J(2,1),data,1.155e+02 *vfill,exp_J(2,2),data,1.140e+02 *vfill,exp_J(2,3),data,1.032e+02 *vfill,exp_J(2,4),data,1.361e+03 *vfill,exp_J(2,5),data,4.038e+03 *vfill,exp_j(2,6),data,6.632e+03 /com, Element #8 /com,************* *vfill,exp_I(3,1),data,2.650e+02 *vfill,exp_I(3,2),data,2.282e+01 *vfill,exp_I(3,3),data,3.272e+02 *vfill,exp_I(3,4),data,1.884e+03 *vfill,exp_I(3,5),data,7.379e+03 *vfill,exp_I(3,6),data,7.638e+02 *vfill,exp_J(3,1),data,4.116e+02 *vfill,exp_J(3,2),data,2.282e+01 *vfill,exp_J(3,3),data,8.904e+01 *vfill,exp_J(3,4),data,1.346e+03 *vfill,exp_J(3,5),data,1.288e+04 *vfill,exp_J(3,6),data,1.569e+03 /com,--------------------------------------------------------------------------/com, Error computation /com, ********************* *dim,elem_error_I,,3,6 *dim,elem_error_J,,3,6 *dim,elem_tab,,36,3 /com,============ /com, Node I /com,============

2478


vm-nr1677-2-2b-a Input Listing *do,i,1,3 *do,j,1,6 *vfill,elem_error_I(i,j),data,abs(elem_res_I(i,j)/exp_I(i,j)) *enddo *enddo /com,============ /com, Node J /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_J(i,j),data,abs(elem_res_J(i,j)/exp_J(i,j)) *enddo *enddo /com,-------------------------------------------------------------------------*do,i,1,3 cs=(i-1)*6 *do,j,1,6 n=cs+j *vfill,elem_tab(n,1),data,exp_I(i,j) *vfill,elem_tab(n,2),data,elem_res_I(i,j) *vfill,elem_tab(n,3),data,elem_error_I(i,j) *enddo *do,j,1,6 m=cs+j+18 *vfill,elem_tab(m,1),data,exp_J(i,j) *vfill,elem_tab(m,2),data,elem_res_J(i,j) *vfill,elem_tab(m,3),data,elem_error_J(i,j) *enddo *enddo save,table_3 /com,-----------------------------------------------------------------------------------/com,***************************** /com, Reaction forces comparision /com,****************************** *dim,rf_tab,,3,3 /com, Solution obtained from Mechanical APDL /com,****************************** *GET,RFA23,NODE,23,RF,FY *GET,RFA28,NODE,28,RF,FY *GET,RFA35,NODE,35,RF,FZ /com, Expected results from NRC manual /com,********************************** *SET,RFE23,46 *SET,RFE28,98 *SET,RFE35,116 /com, Error computation /com,******************* ER23=ABS(RFA23/RFE23) ER28=ABS(RFA28/RFE28) ER35=ABS(RFA35/RFE35) *vfill,rf_tab(1,1),data,RFE23 *vfill,rf_tab(1,2),data,RFA23 *vfill,rf_tab(1,3),data,ER23 *vfill,rf_tab(2,1),data,RFE28 *vfill,rf_tab(2,2),data,RFA28


2479

NRC Piping Benchmarks Input Listings *vfill,rf_tab(2,3),data,ER28 *vfill,rf_tab(3,1),data,RFE35 *vfill,rf_tab(3,2),data,RFA35 *vfill,rf_tab(3,3),data,ER35 save,table_4 /com, /com,-----------------------------------------------------------------------------------/com, /out, /com, /com, -------------------------vm-nr1677-2-2b-a Results Verification---------------------------/com, /nopr resume,table_1 /gopr /out,vm-nr1677-2-2b-a,vrt /com, /com, =========================================== /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, =========================================== /com, /com, Mode | Expected | Mechanical APDL | /com,

Ratio



Ratio

*vwrite,label2(1,1),value(1,1),value(1,2),value(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,2),value(2,1),value(2,2),value(2,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,3),value(3,1),value(3,2),value(3,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,4),value(4,1),value(4,2),value(4,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,5),value(5,1),value(5,2),value(5,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,6),value(6,1),value(6,2),value(6,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,-------------------------------------------------------------------------

2480


vm-nr1677-2-2b-a Input Listing /com, /nopr resume,table_4 /gopr /com, /com, =========================================== /com, COMPARISON OF REACTION FORCES /com, WITH EXPECTED RESULTS /com, =========================================== /com, /com, Node | Expected | /com,

Mechanical APDL

|

Ratio

*vwrite,label5(1,1),rf_tab(1,1),rf_tab(1,2),rf_tab(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,-------------------------------------------------------------------------/com, /nopr resume,table_3 /gopr /com, /com,=============================================== /com, COMPARISON OF ELEMENT FORCES AND MOMENTS /com, WITH EXPECTED RESULTS /com,=============================================== /com, /com,-------------------------------------------------------/com, Note: Element Forces and Moments for some elements /com, along Y & Z directions are flipped between Mechanical APDL /com, and NRC results /com, /com,--------------------------------------------------------/com, /com,


Ratio

/com,=============== /com, Element 1 /com,=============== /com, *vwrite,label3(1,1),elem_tab(1,1),elem_tab(1,2),elem_tab(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(19,1),elem_tab(19,2),elem_tab(19,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com, /com,=============== /com, Element 20 /com,=============== /com, *vwrite,label3(1,1),elem_tab(7,1),elem_tab(7,2),elem_tab(7,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(25,1),elem_tab(25,2),elem_tab(25,3)


2481

NRC Piping Benchmarks Input Listings (1x,a8,'

',f10.4,'

',f10.4,'

',f5.3)

/com, /com, /com,=============== /com, Element 8 /com,=============== /com, *vwrite,label3(1,1),elem_tab(13,1),elem_tab(13,2),elem_tab(13,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(31,1),elem_tab(31,2),elem_tab(31,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)

/com, /com, /com,******************************************************************* /com,******************************************************************* /com, /com, /out, *list,vm-nr1677-2-2b-a,vrt finish

vm-nr1677-2-2c-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-2-2c-a /title,vm-nr1677-2-2c-a,NRC piping benchmarks problems,Volume II,Problem 2c /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com,

******************************************************************************* Reference: Piping benchmark problems,Dynamic analysis independant support motion response spectrum method, P. Bezler, M. Subudhi and M.Hartzman, NUREG/CR--1677-Vol.2, August 1985.

Elements used: Pipe16, Pipe18, Combin14 and Mass21 Results comparsion: The following results are compared against NRC piping benchmark values 1. Frequencies obtained from modal solution. 2. Maximum nodal displacements and rotations obtained from spectrum solution. 3. Element forces/moments obtained from spectrum solution. 4. Reaction forces obtained from spectrum solution. *******************************************************************************

/out,scratch /prep7 YoungModulus1 = .240e+8 ! Young's Modulus Nu = 0.3 ! Minor Poisson's Ratio ShearModulus1 = YoungModulus1/(2*(1+Nu)) ! Shear Modulus WMass=0.001056893 ! Density WTick=0.241 ! Wall Thickness k=0.71e-5 OD=7.288 ! Outer Diameter RADCUR=36.30 ! Radius of Curvature temp=80 ! Temperature maxm=25 ! No. of Modes to Extract

2482


vm-nr1677-2-2c-a Input Listing et,1,pipe16 et,2,pipe18 et,3,combin14 keyopt,3,2,1 et,4,combin14 keyopt,4,2,2 et,5,combin14 keyopt,5,2,3 et,6,mass21 keyopt,6,3,2



1, 2, 3, 4, 5, 6,


/com,-----------------------------------------------------------------------------------/com, Material Properties /com,********************* mp,ex, 1, YoungModulus1 mp,nuxy,1, Nu mp,gxy ,1, ShearModulus1 mp,dens,1, WMass mp,kxx,1, k mp,ex, 2, YoungModulus1 mp,nuxy,2, Nu mp,gxy ,2, ShearModulus1 mp,dens,2, WMass mp,kxx,2, K /com,-----------------------------------------------------------------------------------/com, Nodes /com,******* n,1,0,0,0 n,2,0,54.45,0 n,3,0,108.9,0 n,4,10.632,134.568,0 n,5,36.3,145.2,0 n,6,54.15,145.2,0 n,7,72.0,145.2,0 n,8,97.668,145.2,10.632 n,9,108.3,145.2,36.3 n,10,108.3,145.2,56.8 n,11,108.3,145.2,77.3 n,12,108.3,145.2,97.8 n,13,108.3,145.2,118.3 n,14,108.3,145.2,188.8 n,15,108.3,181.5,225.1 n,16,108.3,236,225.1 n,17,108.3,290,225.1 n,18,148.3,145.2,97.8 n,19,188.3,145.2,97.8 n,20,224.6,145.2,61.5 n,21,224.6,145.2,20 /com, /com, Elastic Support Nodes /com,*********************** n,22,1,0,0


2483

NRC Piping Benchmarks Input Listings n,23,0,1,0 n,24,0,0,1 n,25,72,145.2,-1 n,26,109.3,145.2,36.3 n,27,108.3,146.2,77.3 n,28,108.3,146.2,118.3 n,29,107.3,182.5,226.5 n,30,109.3,290,225.1 n,31,108.3,291,225.1 n,32,108.3,290,226.1 n,33,225.6,145.2,20 n,34,224.6,146.2,20 n,35,224.6,145.2,21 /com,-----------------------------------------------------------------------------------/com, /com, Straight Pipe (Tangent) Elements /com,********************************** mat,1 type,1 real,1


en, 1, 1, 2 en, 2, 2, 3 en, 5, 5, 6 en, 6, 6, 7 en, 9, 9,10 en,10,10,11 en,11,11,12 en,12,12,13 en,13,13,14 en,15,15,16 en,16,16,17 en,17,12,18 en,18,18,19 en,20,20,21 /com, /com, Pipe Bend Elements /com,******************** mat,2 type,2 real,2 en, 3, 3, 4, 2 en, 4, 4, 5, 6 en, 7, 7, 8, 6 en, 8, 8, 9,10 en,14,14,15,16 en,19,19,20,18 /com, /com, Elastic Supports and Anchors /com,****************************** ! rotate nodes with less than 3 supports wplane,,nx(15),ny(15),nz(15),nx(29),ny(29),nz(29),nx(16),ny(16),nz(16) cswplane,11,0 nrotat,15 nrotat,29 csys,0 real,3 type,4 e,11,27 e,13,28

! 0.1e+5 ! local y

real,4 type,3

! 0.1e+9 !local x

2484


vm-nr1677-2-2c-a Input Listing e,9,26 e,15,29 type,5 e,7,25

!local z

real,5 type,3 e,1,22 e,17,30 e,21,33

! 0.1e+11 !local x

type,4 e,1,23 e,17,31 e,21,34

! local y

type,5 e,1,24 e,17,32 e,21,35

! local z

/com /com, Mass Elements /com,*************** type,6 real,6 e,18 /com,-----------------------------------------------------------------------------------/com, /com, Constraints /com,************* nsel,,node,,22,35 d,all,all allsel d,1,rotx,,,,,roty,rotz d,21,rotx,,,,,roty,rotz allsel,all /com, Loading /com,********* /com, **Internal Pressure on PIPE elements** esel,s,ename,,18 esel,a,ename,,16 sfe,all,1,pres,,350 allsel,all save finish /com,-----------------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal ! Perform Modal Analysis modopt,lanb,maxm lumpm,on ! Use Lumped Mass Matrix Approximation mxpand,maxm,,,yes ! Expand Solutions with Element Calculations ON solve save /com,


2485

NRC Piping Benchmarks Input Listings /com,=========================== /com, Compare Modal Frequencies /com,=========================== /com, *dim,Amode,ARRAY,maxm *dim,Emode,ARRAY,maxm *dim,ERmode,ARRAY,maxm *dim,moden,ARRAY,maxm *do,i,1,maxm *GET, Amode(i), MODE, i, FREQ *enddo *VFILL,Emode,DATA,9.36,12.706,15.377,17.797,21.603,25.098,32.035,38.069,40.293,48.898 *VFILL,Emode(11),DATA,57.515,61.5,62.541,69.348,77.444,78.881,101.715,103.583,107.966,115.098 *VFILL,Emode(21),DATA,135.244,155.22,160.601,203.789,209.925, *do,i,1,maxm ERmode(i)=ABS(Amode(i)/Emode(i)) moden(i)=i *enddo save,table_1 finish /com,-----------------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr spopt,mprs,maxm


gval = 386.4 /com,-----------------------------------------------------------------------------------/com, /com, spectrum 1 (group 1 - X) /com,************************** spunit,1,accg, gval spfrq,1,0.4,0.719942405,0.900090009,1.099989,1.350074254,1.800180018,2.200220022 spval,1,, 0.13,0.22,0.57,0.57,0.38,0.63,0.63 spfrq,1,2.699784017,3.51000351,4.679457183,5.720823799,6.600660066,8.576329331,11.00110011 spval,1,, 0.75,1.15,1.42,1.42,1.29,0.85,0.42 spfrq,1,33.00330033,34.96503497,39.0625 spval,1,,0.25,0.22,0.22 /com, /com, spectrum 2 (group 1 - Y) /com,************************** spunit,2,accg, gval spfrq,2,0.4,0.639795266,0.900090009,1.099989,1.43000143,1.649892757,1.800180018 spval,2,,0.18,0.18,0.995,0.995,0.715,0.35,0.42, spfrq,2, 3.500175009,4.500450045,5.500550055,6.600660066,8.703220191,9.35453695,15.40832049 spval,2,,0.77,0.998,0.998,0.9,0.68,0.42,0.22 spfrq,2,16,28.49002849,31.94888179,39.0625 spval,2,,0.205,0.205,0.19,0.19 /com,

2486


vm-nr1677-2-2c-a Input Listing /com, spectrum 3 (group 1 - Z) /com,************************** spunit,3,accg, gval spfrq,3,0.4,0.599880024,1.124985938,1.374948439,1.539882969,2.200220022,2.5 spval,3,, 0.17,0.17,1.6,1.6,0.78,0.3,0.3 spfrq,3,3.599712023,4.500450045,5.500550055,8.051529791,14.30615165,21.97802198,25.97402597 spval,3,,0.51,0.63,0.63,0.47,0.24,0.2,0.17 spfrq,3,39.0625 spval,3,,0.17 /com, /com, spectrum 4 (group 2 - X) /com,************************** spunit,4,accg, gval spfrq,4,0.4,0.480076812,0.539956803,1.17000117,1.43000143,1.649892757,2 spval,4,,0.17,0.17,0.23,2.25,2.25,1.07,0.75 spfrq,4,3.300330033,17.6056338,21.97802198,39.0625 spval,4,,0.38,0.03,0.23,0.23 /com, /com, spectrum 5 (group 2 - Y) /com,************************** spunit,5,accg, gval spfrq,5,0.4,0.610128127,1.124985938,1.374948439,1.759943682,2.474634991,4.500450045 spval,5,,0.17,0.3,2.87,2.87,1.5,0.9,0.85 spfrq,5,5.500550055,8,15.50387597,39.0625 spval,5,,0.85,0.65,0.37,0.37 /com, /com, spectrum 6 (group 2 - Z) /com,************************** spunit,6,accg, gval spfrq,6,0.4,0.5,0.599880024,1.124985938,1.374948439,1.700102006,2.699784017 spval,6,,0.2,0.2,0.362,3.55,3.55,1.95,1.08 spfrq,6,4.500450045,5.500550055,6.501950585,7.974481659,13.00390117,17.51313485,39.0625 spval,6,,1.38,1.38,1.3,1,0.65,0.55,0.55 /com, /com, spectrum 7 (group 3 - X) /com,************************** spunit,7,accg, gval spfrq,7,0.4,0.60204696,1.124985938,1.374948439,1.705029838,2.420135528,2.750275028 spval,7,,0.18,0.42,4.15,4.15,2.4,1.7,1.46 spfrq,7,3.41997264,4.679457183,5.720823799,6.600660066,9.900990099,15.12859304,16.50165017 spval,7,,1.6,2.05,2.05,1.75,0.9,0.77,0.65 spfrq,7,39.0625 spval,7,,0.65 /com, /com, spectrum 8 (group 3 - Y) /com,************************** spunit,8,accg, gval spfrq,8,0.4,0.576036866,0.704225352,0.900090009,1.080030241,1.800180018,2.610284521


2487

NRC Piping Benchmarks Input Listings spval,8,,0.14,0.28,0.28,0.17,0.28,0.53,0.56 spfrq,8,5.399568035,6.600660066,8.802816901,11.00110011,24.75247525,27.47252747,40 spval,8,,1.32,1.32,0.73,0.42,0.25,0.23,0.23 /com, /com, spectrum 9 (group 3 - Z) /com,************************** spunit,9,accg, gval spfrq,9,0.4,0.603136309,0.736919676,0.934579439,1.099989,1.374948439,1.425110446 spval,9,,0.224,0.535,0.535,0.498,0.25,0.195,0.125 spfrq,9,1.619957881,2.66028199,3.599712023,5.399568035,6.600660066,8.802816901,14.02524544 spval,9,,0.17,0.214,0.33,0.55,0.55,0.346,0.18 spfrq,9,17.00680272,28.65329513,31.94888179,39.0625 spval,9,,0.135,0.125,0.112,0.112 /com, /com, spectrum 10 (group 4 - X) /com,*************************** spunit,10,accg, gval spfrq,10,0.4,0.630119723,0.765110941,0.934579439,1.319957761,2.035002035,2.699784017 spval,10,, 0.27,0.814,0.85,0.85,0.536,0.335,0.265 spfrq,10,5.399568035,6.600660066,8.802816901,14.85884101,18.01801802,39.0625 spval,10,, 0.31,0.31,0.215,0.14,0.126,0.126 /com, /com, spectrum 11 (group 4 - Y) /com,*************************** spunit,11,accg, gval spfrq,11,0.4,0.765110941,0.934579439,1.374948439,1.665001665,2.035002035,4.319654428 spval,11,,0.34,1.2,1.2,0.85,0.68,0.68,0.85 spfrq,11,5.399568035,6.600660066,8.250825083,9.68054211,14.85884101,18.48428835,28.01120448 spval,11,,1.02,1.02,0.73,0.42,0.36,0.26,0.21 spfrq,11,39.0625 spval,11,,0.21 /com, /com, spectrum 12 (group 4 - Z) /com,*************************** spunit,12,accg, gval spfrq,12,0.4,0.765110941,0.934579439,1.374948439,1.665001665,2.035002035,4.319654428 spval,12,,0.34,1.2,1.2,0.85,0.68,0.68,0.85 spfrq,12,5.399568035,6.600660066,8.250825083,9.68054211,14.85884101,18.48428835,28.01120448 spval,12,,1.02,1.02,0.73,0.42,0.36,0.26,0.21 spfrq,12,39.0625 spval,12,,0.21 /com, /com, node components for excitation points /com,*************************************** nsel,,node,,22,24 cm,gp1,node allsel nsel,,node,,25,29 cm,gp2,node

2488


vm-nr1677-2-2c-a Input Listing allsel nsel,,node,,30,32 cm,gp3,node allsel nsel,,node,,33,35 cm,gp4,node allsel /com,-----------------------------------------------------------------------------------! -- level #1 - spectrum 1 (Along X - Direction) sed,1,,,gp1 dlist,all pfact,1 sed,0,,,gp1 ! -- level #1 - spectrum 2 (Along Y - Direction) sed,,1,,gp1 dlist,all pfact,2 sed,,0,,gp1 ! -- level #1 - spectrum 3 (Along Z - Direction) sed,,,1,gp1 dlist,all pfact,3 sed,,,0,gp1 ! -- level #2 - spectrum 4 (Along X - Direction) sed,1,,,gp2 dlist,all pfact,4 sed,0,,,gp2 ! -- level #2 - spectrum 5 (Along Y - Direction) sed,,1,,gp2 dlist,all pfact,5 sed,,0,,gp2 ! -- level #2 - spectrum 6 (Along Z - Direction) sed,,,1,gp2 dlist,all pfact,6 sed,,,0,gp2 ! -- level #3 - spectrum 7 (Along X - Direction) sed,1,,,gp3 dlist,all pfact,7 sed,0,,,gp3 ! -- level #3 - spectrum 8 (Along Y - Direction) sed,,1,,gp3 dlist,all pfact,8 sed,,0,,gp3 ! -- level #3 - spectrum 9 (Along Z - Direction) sed,,,1,gp3 dlist,all


2489

NRC Piping Benchmarks Input Listings pfact,9 sed,,,0,gp3 ! -- level #4 - spectrum 10 (Along X - Direction) sed,1,,,gp4 dlist,all pfact,10 sed,0,,,gp4 ! -- level #4 - spectrum 11 (Along Y - Direction) sed,,1,,gp4 dlist,all pfact,11 sed,,0,,gp4 ! -- level #4 - spectrum 12 (Along Z - Direction) sed,,,1,gp4 dlist,all pfact,12 sed,,,0,gp4 srss,0.0,,YES ! activate Absolute Sum for MPRS solve finish /com,-----------------------------------------------------------------------------------/post1 /input,,mcom /com,----------------------------------/com, *Labels* *dim,label2,char,1,6 *dim,label3,char,6,1 *dim,label4,char,6,1 *dim,label5,char,3,1 /com,------------------------label2(1,1) label2(1,2) label2(1,3) label2(1,4) label2(1,5) label2(1,6)


/com,----------------------label3(1,1)='PX(I)' label3(2,1)='VY(I)' label3(3,1)='VZ(I)' label3(4,1)='TX(I)' label3(5,1)='MY(I)' label3(6,1)='MZ(I)' /com,----------------------label4(1,1)='PX(J)' label4(2,1)='VY(J)' label4(3,1)='VZ(J)' label4(4,1)='TX(J)' label4(5,1)='MY(J)' label4(6,1)='MZ(J)' /com,----------------------------------/com,------------------------------------------------------------------------------------

2490



/com, /com,======================================================== /com, Maximum nodal displacements and rotations comparsion /com,======================================================== /com, /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,14,U,X *GET,AdisY,NODE,8,U,Y *GET,AdisZ,NODE,4,U,Z *GET,ArotX,NODE,3,ROT,X *GET,ArotY,NODE,7,ROT,Y *GET,ArotZ,NODE,17,ROT,Z /com, /com, Expected results from NRC manual /com, ********************************* *SET,EdisX,7.40647e-02 *SET,EdisY,3.55177e-02 *SET,EdisZ,8.00211e-02 *SET,ErotX,9.06483e-04 *SET,ErotY,1.67234e-03 *SET,ErotZ,7.98620e-04 /com, /com, Error computation /com,******************** ERdisX=ABS(AdisX/EdisX) ERdisY=ABS(AdisY/EdisY) ERdisZ=ABS(AdisZ/EdisZ) ERrotX=ABS((ArotX)/(ErotX)) ERrotY=ABS((ArotY)/(ErotY)) ERrotZ=ABS((ArotZ)/(ErotZ)) *dim,value,,6,3 *vfill,value(1,1),data,EdisX *vfill,value(1,2),data,AdisX *vfill,value(1,3),data,ERdisX *vfill,value(2,1),data,EdisY *vfill,value(2,2),data,AdisY *vfill,value(2,3),data,ERdisY *vfill,value(3,1),data,EdisZ *vfill,value(3,2),data,AdisZ *vfill,value(3,3),data,ERdisZ *vfill,value(4,1),data,ErotX *vfill,value(4,2),data,ArotX *vfill,value(4,3),data,ERrotX *vfill,value(5,1),data,ErotY *vfill,value(5,2),data,ArotY *vfill,value(5,3),data,ERrotY *vfill,value(6,1),data,ErotZ *vfill,value(6,2),data,ArotZ *vfill,value(6,3),data,ERrotZ save,table_2 /com,-----------------------------------------------------------------------------------/com,======================================================== /com, Element Forces and Moments Comparison /com,========================================================


2491


/com, Solution obtained from Mechanical APDL /com,****************************** *dim,elem_res_I,,3,6 *dim,elem_res_J,,3,6 *dim,pxi,,3 *dim,vyi,,3 *dim,vzi,,3 *dim,txi,,3 *dim,myi,,3 *dim,mzi,,3 *dim,pxj,,3 *dim,vyj,,3 *dim,vzj,,3 *dim,txj,,3 *dim,myj,,3 *dim,mzj,,3 esel,s,ename,,16 esel,a,ename,,18 /com,========== /com, Node I /com,========== /com, Element #1 /com,*********** *get,pxi(1,1),elem,1,smisc,1 *get,vyi(1,1),elem,1,smisc,2 *get,vzi(1,1),elem,1,smisc,3 *get,txi(1,1),elem,1,smisc,4 *get,myi(1,1),elem,1,smisc,5 *get,mzi(1,1),elem,1,smisc,6 *vfill,elem_res_I(1,1),data,pxi(1,1) *vfill,elem_res_I(1,2),data,vyi(1,1) *vfill,elem_res_I(1,3),data,vzi(1,1) *vfill,elem_res_I(1,4),data,txi(1,1) *vfill,elem_res_I(1,5),data,myi(1,1) *vfill,elem_res_I(1,6),data,mzi(1,1) /com, Element #20 /com,************* *get,pxi(2,1),elem,20,smisc,1 *get,vyi(2,1),elem,20,smisc,2 *get,vzi(2,1),elem,20,smisc,3 *get,txi(2,1),elem,20,smisc,4 *get,myi(2,1),elem,20,smisc,5 *get,mzi(2,1),elem,20,smisc,6 *vfill,elem_res_I(2,1),data,pxi(2,1) *vfill,elem_res_I(2,2),data,vyi(2,1) *vfill,elem_res_I(2,3),data,vzi(2,1) *vfill,elem_res_I(2,4),data,txi(2,1) *vfill,elem_res_I(2,5),data,myi(2,1) *vfill,elem_res_I(2,6),data,mzi(2,1) /com, Element #8 /com,************* *get,pxi(3,1),elem,8,smisc,1 *get,vyi(3,1),elem,8,smisc,2 *get,vzi(3,1),elem,8,smisc,3 *get,txi(3,1),elem,8,smisc,4 *get,myi(3,1),elem,8,smisc,5 *get,mzi(3,1),elem,8,smisc,6

2492


vm-nr1677-2-2c-a Input Listing *vfill,elem_res_I(3,1),data,pxi(3,1) *vfill,elem_res_I(3,2),data,vyi(3,1) *vfill,elem_res_I(3,3),data,vzi(3,1) *vfill,elem_res_I(3,4),data,txi(3,1) *vfill,elem_res_I(3,5),data,myi(3,1) *vfill,elem_res_I(3,6),data,mzi(3,1)

/com,========== /com, Node J /com,========== /com, Element #1 /com,************ *get,pxj(1,1),elem,1,smisc,7 *get,vyj(1,1),elem,1,smisc,8 *get,vzj(1,1),elem,1,smisc,9 *get,txj(1,1),elem,1,smisc,10 *get,myj(1,1),elem,1,smisc,11 *get,mzj(1,1),elem,1,smisc,12 *vfill,elem_res_J(1,1),data,pxj(1,1) *vfill,elem_res_J(1,2),data,vyj(1,1) *vfill,elem_res_J(1,3),data,vzj(1,1) *vfill,elem_res_J(1,4),data,txj(1,1) *vfill,elem_res_J(1,5),data,myj(1,1) *vfill,elem_res_J(1,6),data,mzj(1,1) /com, Element #20 /com,************* *get,pxj(2,1),elem,20,smisc,7 *get,vyj(2,1),elem,20,smisc,8 *get,vzj(2,1),elem,20,smisc,9 *get,txj(2,1),elem,20,smisc,10 *get,myj(2,1),elem,20,smisc,11 *get,mzj(2,1),elem,20,smisc,12 *vfill,elem_res_J(2,1),data,pxj(2,1) *vfill,elem_res_J(2,2),data,vyj(2,1) *vfill,elem_res_J(2,3),data,vzj(2,1) *vfill,elem_res_J(2,4),data,txj(2,1) *vfill,elem_res_J(2,5),data,myj(2,1) *vfill,elem_res_J(2,6),data,mzj(2,1) /com, Element #8 /com,************* *get,pxj(3,1),elem,8,smisc,7 *get,vyj(3,1),elem,8,smisc,8 *get,vzj(3,1),elem,8,smisc,9 *get,txj(3,1),elem,8,smisc,10 *get,myj(3,1),elem,8,smisc,11 *get,mzj(3,1),elem,8,smisc,12 *vfill,elem_res_J(3,1),data,pxj(3,1) *vfill,elem_res_J(3,2),data,vyj(3,1) *vfill,elem_res_J(3,3),data,vzj(3,1) *vfill,elem_res_J(3,4),data,txj(3,1) *vfill,elem_res_J(3,5),data,myj(3,1) *vfill,elem_res_J(3,6),data,mzj(3,1) /com,---------------------------------------------------------------------------/com, Results from NRC benchmarks /com, *************************** *dim,exp_I,,3,6 *dim,exp_J,,3,6 /com, Element #1


2493

NRC Piping Benchmarks Input Listings /com,************ *vfill,exp_I(1,1),data,6.961e+01 *vfill,exp_I(1,2),data,7.639e+01 *vfill,exp_I(1,3),data,1.556e+02 *vfill,exp_I(1,4),data,4.498e+03 *vfill,exp_I(1,5),data,1.438e+04 *vfill,exp_I(1,6),data,5.959e+03 *vfill,exp_J(1,1),data,6.961e+01 *vfill,exp_J(1,2),data,7.639e+01 *vfill,exp_J(1,3),data,1.556e+02 *vfill,exp_J(1,4),data,4.498e+03 *vfill,exp_J(1,5),data,6.317e+03 *vfill,exp_J(1,6),data,2.787e+03 /com, Element #20 /com,************* *vfill,exp_I(2,1),data,1.576e+02 *vfill,exp_I(2,2),data,1.699e+02 *vfill,exp_I(2,3),data,1.517e+02 *vfill,exp_I(2,4),data,2.041e+03 *vfill,exp_I(2,5),data,3.192e+03 *vfill,exp_I(2,6),data,2.935e+03 *vfill,exp_J(2,1),data,1.576e+02 *vfill,exp_J(2,2),data,1.699e+02 *vfill,exp_J(2,3),data,1.517e+02 *vfill,exp_J(2,4),data,2.041e+03 *vfill,exp_J(2,5),data,6.079e+03 *vfill,exp_j(2,6),data,9.904e+03 /com, Element #8 /com,************* *vfill,exp_I(3,1),data,3.686e+02 *vfill,exp_I(3,2),data,3.377e+01 *vfill,exp_I(3,3),data,4.532e+02 *vfill,exp_I(3,4),data,2.643e+03 *vfill,exp_I(3,5),data,1.031e+04 *vfill,exp_I(3,6),data,1.268e+03 *vfill,exp_J(3,1),data,5.717e+02 *vfill,exp_J(3,2),data,3.377e+01 *vfill,exp_J(3,3),data,1.200e+02 *vfill,exp_J(3,4),data,1.937e+03 *vfill,exp_J(3,5),data,1.794e+04 *vfill,exp_J(3,6),data,2.187e+03 /com,--------------------------------------------------------------------------/com, Error computation /com, ********************* *dim,elem_error_I,,3,6 *dim,elem_error_J,,3,6 *dim,elem_tab,,36,3 /com,============ /com, Node I /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_I(i,j),data,abs(elem_res_I(i,j)/exp_I(i,j)) *enddo *enddo /com,============ /com, Node J /com,============

2494



*do,i,1,3 *do,j,1,6 *vfill,elem_error_J(i,j),data,abs(elem_res_J(i,j)/exp_J(i,j)) *enddo *enddo /com,-------------------------------------------------------------------------*do,i,1,3 cs=(i-1)*6 *do,j,1,6 n=cs+j *vfill,elem_tab(n,1),data,exp_I(i,j) *vfill,elem_tab(n,2),data,elem_res_I(i,j) *vfill,elem_tab(n,3),data,elem_error_I(i,j) *enddo *do,j,1,6 m=cs+j+18 *vfill,elem_tab(m,1),data,exp_J(i,j) *vfill,elem_tab(m,2),data,elem_res_J(i,j) *vfill,elem_tab(m,3),data,elem_error_J(i,j) *enddo *enddo save,table_3 /com,-----------------------------------------------------------------------------------/com,***************************** /com, Reaction forces comparision /com,****************************** *dim,Areac,,14 *dim,Ereac,,14 *dim,ERreac,,14 *dim,Nreac,STRING,8,14 Nreac(1,1) = 'FX1' Nreac(1,2) = 'FY1' Nreac(1,3) = 'FZ1' Nreac(1,4) = 'FZ7' Nreac(1,5) = 'FX9' Nreac(1,6) = 'FY11' Nreac(1,7) = 'FY13' Nreac(1,8) = 'FX15' Nreac(1,9) = 'FX17' Nreac(1,10) = 'FY17' Nreac(1,11) = 'FZ17' Nreac(1,12) = 'FX21' Nreac(1,13) = 'FY21' Nreac(1,14) = 'FZ21' *GET,Areac(1),NODE,22,RF,FX *GET,Areac(2),NODE,23,RF,FY *GET,Areac(3),NODE,24,RF,FZ *GET,Areac(4),NODE,25,RF,FZ *GET,Areac(5),NODE,26,RF,FX *GET,Areac(6),NODE,27,RF,FY *GET,Areac(7),NODE,28,RF,FY *GET,Areac(8),NODE,29,RF,FX *GET,Areac(9),NODE,30,RF,FX *GET,Areac(10),NODE,31,RF,FY *GET,Areac(11),NODE,32,RF,FZ


2495


*GET,Areac(12),NODE,33,RF,FX *GET,Areac(13),NODE,34,RF,FY *GET,Areac(14),NODE,35,RF,FZ *VFILL,Ereac,DATA,76,70,156,607,350,184,146,301,45,169 *VFILL,Ereac(11),DATA,91,152,170,158 *do,i,1,14 ERreac(i) = abs(Areac(i)/Ereac(i)) *enddo save,table_4 finish /com,-----------------------------------------------------------------------------------/com, /out, /com, /com, -------------------------vm-nr1677-2-2c-a Results Verification---------------------------/com, /nopr resume,table_1 /gopr /out,vm-nr1677-2-2c-a,vrt /com, /com, =========================================== /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, =========================================== /com, /com, Mode | Expected | Mechanical APDL | /com,

Ratio



Ratio

*vwrite,label2(1,1),value(1,1),value(1,2),value(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,2),value(2,1),value(2,2),value(2,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,3),value(3,1),value(3,2),value(3,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,4),value(4,1),value(4,2),value(4,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,5),value(5,1),value(5,2),value(5,3)

2496


vm-nr1677-2-2c-a Input Listing (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,6),value(6,1),value(6,2),value(6,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,------------------------------------------------------------------------/com, /nopr resume,table_4 /gopr /com, /com, =========================================== /com, COMPARISON OF REACTION FORCES /com, WITH EXPECTED RESULTS /com, =========================================== /com, /com, Node | Expected | /com,

Mechanical APDL

|

Ratio

*VWRITE,Nreac(1),Ereac(1),Areac(1),ERreac(1) (5X,a,2X,F12.4,3X,F12.4,3X,F8.2,' ') /com, /com,-------------------------------------------------------------------------/com, /nopr resume,table_3 /gopr /com, /com,=============================================== /com, COMPARISON OF ELEMENT FORCES AND MOMENTS /com, WITH EXPECTED RESULTS /com,=============================================== /com, /com,-------------------------------------------------------/com, Note: Element Forces and Moments for some elements /com, along Y & Z directions are flipped between Mechanical APDL /com, and NRC results /com, /com,---------------------------------------------------------

/com, /com,


Ratio

/com,=============== /com, Element 1 /com,=============== /com, *vwrite,label3(1,1),elem_tab(1,1),elem_tab(1,2),elem_tab(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(19,1),elem_tab(19,2),elem_tab(19,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com, /com,=============== /com, Element 20 /com,===============


2497

NRC Piping Benchmarks Input Listings /com, *vwrite,label3(1,1),elem_tab(7,1),elem_tab(7,2),elem_tab(7,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(25,1),elem_tab(25,2),elem_tab(25,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com, /com,=============== /com, Element 8 /com,=============== /com, *vwrite,label3(1,1),elem_tab(13,1),elem_tab(13,2),elem_tab(13,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(31,1),elem_tab(31,2),elem_tab(31,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)

/com, /com, /com,******************************************************************* /com,******************************************************************* /com, /com, /out, *list,vm-nr1677-2-2c-a,vrt finish

vm-nr1677-2-3a-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-2-3a-a /title,vm-nr1677-2-3a-a,NRC piping benchmarks problems,Volume II,Problem 3a /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com,


Elements used: Pipe16, Pipe18, Combin14

Results comparsion: The following results are compared against NRC piping benchmark values 1. Frequencies obtained from modal solution. 2. Maximum nodal displacements and rotations obtained from spectrum solution. 3. Element forces/moments obtained from spectrum solution. 4. Reaction forces obtained from spectrum solution. *******************************************************************************

/out,scratch /prep7 YoungModulus1 = 0.277e+08 ! Young's Modulus Nu = 0.3 ! Minor Poisson's Ratio ShearModulus1 = YoungModulus1/(2*(1+Nu)) ! Shear Modulus

2498


vm-nr1677-2-3a-a Input Listing WMass = 1.546e-03 ! Density WTick=0.3750 ! Wall Thickness OD=12.750 ! Outer Diameter RADCUR1 = 60 ! Radius of Curvature RADCUR2 = 18 Temperature = 400 Pressue = 615 maxm=15 ! No. of Modes to Extract

/com,-----------------------------------------------------------------------------------et, 1,pipe16 et, 2,pipe18 keyopt,2,3,1 et, 3,pipe18 keyopt,3,3,1 et, 4,combin14 keyopt,4,2,2 et, 5,combin14 keyopt,5,2,1 et, 6,combin14 keyopt,6,2,2 et, 7,combin14 keyopt,7,2,3 et, 8,combin14 keyopt,8,2,4 et, 9,combin14 keyopt,9,2,5 et,10,combin14 keyopt,10,2,6

! ! ! ! !

Element 1 - PIPE16 Element 2 - PIPE18 Use ANSYS Flexibility term with pressure item Element 3 - PIPE18 Use ANSYS Flexibility term with pressure item ! Element 4 - COMBIN14 ! Y Degree of Freedom ! Element 5 - COMBIN14 ! X Degree of Freedom ! Element 6 - COMBIN14 ! Y Degree of Freedom ! Element 7 - COMBIN14 ! Z Degree of Freedom ! Element 8 - COMBIN14 ! ROT-X Degree of Freedom ! Element 9 - COMBIN14 ! ROT-Y Degree of Freedom ! Element 10 - COMBIN14 ! ROT-Z Degree of Freedom

/com,-----------------------------------------------------------------------------------/com, Real Constants /com,**************** r, 1, r, 2, r, 3, r, 4, r, 5, r, 6, r, 7, r, 8, r, 9, r,10,

OD,WTick OD,WTick,RADCUR1 OD,WTick,RADCUR2 0.1e+2 0.1e+13 0.1e+13 0.1e+13 0.1e+13 0.1e+13 0.1e+13

/com, ------------------------------------------------------------------------------------/com, Material Properties /com,********************* mp,ex, 1, mp,nuxy,1, mp,gxy ,1, mp,dens,1,

YoungModulus1 Nu ShearModulus1 WMass

mp,ex, 2, mp,nuxy,2, mp,gxy ,2, mp,dens,2,




/com,-----------------------------------------------------------------------------------/com, Nodes /com,*******


2499


n,1,0,1226.875,0 n,2,30.021,1226.875,30.550 n,3,60.042,1226.875,61.100 n,4,90.064,1226.875,91.651 n,5,105.154,1226.875,102.817 n,6,139.302,1226.875,120.593 n,7,181.878,1226.875,142.757 n,8,224.435,1226.875,164.922 n,9,243.383,1226.875,174.774 n,10,262.311,1226.875,184.628 n,11,292.798,1226.875,191.342 n,12,334.171,1226.875,189.421 n,120,334.171,1226.875,189.421 n,13,375.543,1226.875,187.500 n,14,405.511,1226.875,186.110 n,140,431.483,1226.875,184.904 n,15,501.172,1226.875,181.669 n,16,570.860,1226.875,178.433 n,17,579.777,1226.875,178.683 n,18,615.118,1226.875,182.316 n,20,633.028,1226.875,184.156 n,21,678.227,1226.875,188.802 n,22,723.426,1226.875,193.448 n,23,768.625,1226.875,198.095 n,24,809.602,1226.875,187.256 n,25,814.057,1226.875,184.079 n,26,852.626,1226.875,156.568 n,27,891.195,1226.875,129.058 n,28,929.764,1226.875,101.547 n,29,968.332,1226.875,74.036 n,290,978.101,1226.875,67.067 n,31,1012.600,1226.875,42.430 n,310,1012.600,1226.875,42.430 n,32,1047.098,1226.875,17.793 n,34,1061.752,1244.875,7.340 n,35,1061.752,1272.375,7.340 n,36,1072.214,1290.375,-7.307 n,37,1081.623,1290.375,-20.48 n,38,1108.85,1290.375,-58.399 n,39,1136.077,1290.375,-96.317 n,40,1163.304,1290.375,-134.236 n,41,1190.531,1290.375,-172.154 /com, /com, Elastic Support Nodes /com,*********************** n,410,1190.531,1290.375,-172.154 n,43,1197.006,1290.375,-182.019 n,44,1207.729,1290.375,-209.536 n,45,1211.63,1290.375,-241.111 n,46,1215.531,1290.375,-272.687 n,47,1219.432,1290.375,-304.262 n,48,1223.333,1290.375,-335.873 n,49,1227.234,1290.375,-367.413 n,51,1232.114,1290.375,-407.115 n,52,1233.704,1295.647,-419.787 n,53,1234.945,1305.772,-429.836 n,55,1254.329,1318.500,-439.952 n,56,1279.579,1318.500,-436.387

2500


vm-nr1677-2-3a-a Input Listing n,57,1304.829,1318.500,-432.823 n,58,1330.078,1318.500,-429.258 n,59,1355.328,1318.500,-425.693 n,61,431.943,1226.875,194.899 n,62,616.14,1226.875,172.368 n,63,974.139,1226.875,82.176 n,65,1227.234,1300.375,-367.413 n,66,1255.726,1318.500,-449.852 n,67,1182.401,1290.375,-177.966 n,68,105.154,1236.875,102.817 n,69,224.435,1236.875,164.922 n,70,405.511,1236.875,186.110 n,71,633.028,1236.875,184.156 n,72,814.057,1236.875,184.079 n,73,978.101,1236.875,67.067 n,74,1081.623,1300.375,-20.48 n,75,1190.531,1300.375,-172.154 n,101,10,1226.875,0 n,102,0,1236.875,0 n,103,0,1226.875,10 n,591,1345.328,1318.5,-425.693 n,592,1355.328,1328.5,-425.693 n,593,1355.328,1318.5,-415.693 n,601,93.495,1226.9,94.879 n,602,97.170,1226.9,97.828 n,603,101.06,1226.9,100.48 /com,-----------------------------------------------------------------------------------/com, /com, Straight Pipe (Tangent) Elements /com,********************************** mat,1 type,1 real,1


e,1,2 e,2,3 e,3,4 e,5,6 e,6,7 e,7,8 e,8,9 e,9,10 e,11,12 e,12,13 e,13,14 e,14,140 e,140,15 e,15,16 e,17,18 e,18,20 e,20,21 e,21,22 e,22,23 e,24,25 e,25,26 e,26,27 e,27,28 e,28,29


2501

NRC Piping Benchmarks Input Listings e,29,290 e,290,31 e,31,32 e,34,35 e,36,37 e,37,38 e,38,39 e,39,40 e,40,41 e,41,43 e,44,45 e,45,46 e,46,47 e,47,48 e,48,49 e,49,51 e,52,53 e,55,56 e,56,57 e,57,58 e,58,59 /com, /com, Pipe Bend Elements /com,******************** type,2 real,2 e,4,601,3 e,601,602,603 e,602,603,5 e,603,5,6 e,10,11,9 e,16,17,15 e,23,24,25 e,43,44,45 type,3 real,3 e,32,34,35 e,35,36,37 e,51,52,53 e,53,55,56 /com, /com, Spring Elements /com,***************** type,4 real,4 e,49,65 type,6 real,6 e,5,68 e,8,69 e,14,70 e,20,71 e,25,72 e,290,73 e,37,74 e,410,75 type,5 real,5 n1 = 55 n2 = 66

2502


vm-nr1677-2-3a-a Input Listing n3 = 56 ics = 11 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 41 n2 = 67 n3 = 40 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 /com, /com, Snubber Elements /com,****************** n1 = 13 n2 = 120 n3 = 59 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 140 n2 = 61 n3 = 15 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 18 n2 = 62 n3 = 17 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 29 n2 = 63 n3 = 28 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0


2503

NRC Piping Benchmarks Input Listings e,n1,n2 n1 = 32 n2 = 310 n3 = 34 !n3 = 59 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 /com, /com, 3D Support at both ends /com,************************* type,5 real,5 e,1,101 e,59,591 type,6 real,6 e,1,102 e,59,592 type,7 real,7 e,1,103 e,59,593 type,8 real,8 e,1,101 e,59,591 type,9 real,9 e,1,102 e,59,592 type,10 real,10 e,1,103 e,59,593 /com,-----------------------------------------------------------------------------------/com, /com, Model Rigid Region /com,******************** cerig,41,410,uy /com,-----------------------------------------------------------------------------------/com, /com, Constraints /com,************* nsel,s,node,,61,63 nsel,a,node,,65,75 nsel,a,node,,101,103 nsel,a,node,,120 nsel,a,node,,310 nsel,a,node,,591,593 d,all,all,0 nsel,all

2504



/com,-----------------------------------------------------------------------------------/com, /com, Loads /com,******* /com, Temperature Input /com,******************* bf,all,temp,Temperature esel,r,type,,1 esel,a,type,,2 esel,a,type,,3 /com, Pressure Input /com,**************** sfe,all,1,pres,,Pressue,,, allsel,all,all save finish /com,-----------------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal ! Perform modal solve modopt,lanb,maxm lump,on ! Lumped mass formulation mxpand,maxm,,,yes ! Expand the modes with stress calculation solve

/com, /com,=========================== /com, Compare Modal Frequencies /com,=========================== /com, *dim,Amode,ARRAY,maxm *dim,Emode,ARRAY,maxm *dim,ERmode,ARRAY,maxm *dim,moden,ARRAY,maxm *do,i,1,maxm *GET, Amode(i), MODE, i, FREQ *enddo *VFILL,Emode,DATA,7.238,10.145,14.579,15.991,17.198,17.987,22.282,23.632,27.864,29.211 *VFILL,Emode(11),DATA,29.514,31.554,34.018,34.778,35.122 *do,i,1,maxm ERmode(i) = ABS(Amode(i)/Emode(i)) moden(i) = i *enddo save,table_1 finish /com,-----------------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================


2505

NRC Piping Benchmarks Input Listings /com, /solution gvalue = 386.4 sfedele,all,1,pres,,, bfdele,all,temp,,, antype,spectrum spopt,sprs,maxm srss,,,

! Perform Spectrum Analysis ! Single Point Excitation Response System

! SRSS mode combination method

/com, /com, Excitation in X - Direction /com,******************************* svtyp,2,gvalue

! Acceleration Response Spectrum

freq,1.000,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937,1.3423,1.3889 sv,,1.1620,1.2820,1.3990,1.5490,1.6060,1.6760,1.7040,1.7740,1.8390 freq,1.4104,1.4347,1.5552,1.6949,1.7825,1.9305,2.0747,2.2779,2.4752 sv,,1.8690,1.9040,2.0840,2.2460,2.3040,2.3830,2.4790,2.5920,2.6440 freq,2.6042,2.6596,2.9499,3.2362,3.3898,3.4965,3.5714,3.6101,3.6630 sv,,2.6400,2.6390,2.7820,2.9510,3.0660,3.2150,3.3840,3.5320,3.7660 freq,3.7313,3.8168,3.8911,3.9216,4.2918,4.6948,4.7847,5.0505,5.0761 sv,,4.1890,4.7930,5.1890,5.2240,5.2320,5.2270,5.1520,3.0020,2.9230 freq,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627,7.8125,7.8740,7.9365 sv,,2.9000,2.8730,2.8490,2.8440,2.7610,2.6670,2.6350,2.7850,2.7550 freq,8.3333,8.9286,9.5238,9.6154,9.7087,10.4167,10.8696,11.6279,11.7647 sv,,2.8070,2.7970,2.7440,2.6740,2.6270,2.7810,2.9310,3.0770,3.1120 freq,12.1951,12.5000,12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 sv,,3.1340,3.1340,3.1160,2.9750,2.6870,2.5600,2.3990,2.0640,1.8550

freq,15.3846,15.6250,17.8571,18.8679,22.7273,23.8095,24.3902,25.6410,26.3158 sv,,1.5240,1.5120,1.4720,1.3350,1.0900,1.0730,1.0700,1.0490,1.0040

freq,27.0270,27.7778,28.5714,40.000,76.9231,1000.0000 sv,,0.9823,0.9669,0.9560,0.8930,0.8300,0.7710 sed,1,0,0 solve

! Excitation in X - Direction

/com, /com, Excitation in Y - Direction /com,****************************** svtyp,2,gvalue freq,, freq,0.5,2,2.100,2.898,4,5,7.692,8.474,10.309 sv,,0.380,2.050,2.750,2.750,3.500,3.500,5.800,12.100,12.100 freq,11.494,14.104,15.384,17.605,23.255,50 sv,,10.700,10.700,5.900,5.900,2.050,1.570 sed,0,1,0 solve

! Excitation in Y - Direction

/com, /com, Excitation in Z - Direction /com,****************************** svtyp,2,gvalue

2506


vm-nr1677-2-3a-a Input Listing freq,,, freq,1,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937,1.3423,1.3889 sv,,1.1620,1.2820,1.3990,1.5490,1.6060,1.6760,1.7040,1.7740,1.8390 freq,1.4104,1.4347,1.5552,1.6949,1.7825,1.9305,2.0747,2.2779,2.4752 sv,,1.8690,1.9040,2.0840,2.2460,2.3040,2.3820,2.4790,2.5920,2.6440 freq,2.6042,2.6596,2.9499,3.2362,3.3898,3.4965,3.5714,3.6101,3.6630 sv,,2.6400,2.6390,2.7820,2.9510,3.0660,3.2150,3.3840,3.5320,3.7660 freq,3.7313,3.8168,3.8911,3.9216,4.2918,4.6948,4.7847,5.0505,5.0761 sv,,4.1890,4.7930,5.1890,5.2240,5.2320,5.2270,5.1520,3.0020,2.9230 freq,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627,7.8125,7.8740,7.9365 sv,,2.900,2.8730,2.8490,2.8440,2.7610,2.6670,2.6350,2.6850,2.7550 freq,8.333,8.9286,9.5238,9.6154,9.7087,10.4167,10.8696,11.6279,11.7647 sv,,2.8070,2.7970,2.7440,2.6740,2.6270,2.7810,2.9310,3.0770,3.1120 freq,12.1951,12.5000,12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 sv,,3.1340,3.1340,3.1160,2.9750,2.6870,2.5600,2.3990,2.0640,1.8550 freq,15.3846,15.6250,17.8571,18.8679,22.7273,23.8095,24.3902,25.6410,26.3158 sv,,1.5240,1.5120,1.4720,1.3350,1.0900,1.0730,1.0700,1.0490,1.0040 freq,27.0270,27.7778,28.5714,40.000,76.9231,1000.000 sv,,0.9823,0.9669,0.9560,0.8930,0.8300,0.7710 sed,0,0,1 solve

! Excitation in Z - Direction

finish /com,-----------------------------------------------------------------------------------/post1 /input,,mcom /com,----------------------------------/com, *Labels* *dim,label2,char,1,6 *dim,label3,char,6,1 *dim,label4,char,6,1 *dim,label5,char,22,1 /com,------------------------label2(1,1) label2(1,2) label2(1,3) label2(1,4) label2(1,5) label2(1,6)


/com,----------------------label3(1,1)='PX(I)' label3(2,1)='VY(I)' label3(3,1)='VZ(I)' label3(4,1)='TX(I)' label3(5,1)='MY(I)' label3(6,1)='MZ(I)' /com,----------------------label4(1,1)='PX(J)' label4(2,1)='VY(J)' label4(3,1)='VZ(J)' label4(4,1)='TX(J)' label4(5,1)='MY(J)'


2507

NRC Piping Benchmarks Input Listings label4(6,1)='MZ(J)' /com,------------------------label5(1,1)='65' label5(2,1)='66' label5(3,1)='67' label5(4,1)='75' label5(5,1)='68' label5(6,1)='69' label5(7,1)='70' label5(8,1)='71' label5(9,1)='72' label5(10,1)='73' label5(11,1)='74' label5(12,1)='101' label5(13,1)='102' label5(14,1)='103' label5(15,1)='591' label5(16,1)='592' label5(17,1)='593' label5(18,1)='120' label5(19,1)='310' label5(20,1)='61' label5(21,1)='62' label5(22,1)='63' /com,-----------------------------------------------------------------------------------/com, /com,======================================================== /com, Maximum nodal displacements and rotations comparsion /com,======================================================== /com, /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,36,U,X *GET,AdisY,NODE,51,U,Y *GET,AdisZ,NODE,20,U,Z *GET,ArotX,NODE,44,ROT,X *GET,ArotY,NODE,31,ROT,Y *GET,ArotZ,NODE,53,ROT,Z /com, /com, Expected results from NRC manual /com, ********************************* *SET,EdisX,6.11356e-01 *SET,EdisY,1.10350e+00 *SET,EdisZ,6.21499e-03 *SET,ErotX,9.30337e-03 *SET,ErotY,6.00114e-03 *SET,ErotZ,1.33137e-02 /com, /com, Error computation /com,******************** ERdisX=ABS(AdisX/EdisX) ERdisY=ABS(AdisY/EdisY) ERdisZ=ABS(AdisZ/EdisZ) ERrotX=ABS((ArotX)/(ErotX)) ERrotY=ABS((ArotY)/(ErotY)) ERrotZ=ABS((ArotZ)/(ErotZ)) *dim,value,,6,3 *vfill,value(1,1),data,EdisX *vfill,value(1,2),data,AdisX *vfill,value(1,3),data,ERdisX

2508



*vfill,value(2,1),data,EdisY *vfill,value(2,2),data,AdisY *vfill,value(2,3),data,ERdisY *vfill,value(3,1),data,EdisZ *vfill,value(3,2),data,AdisZ *vfill,value(3,3),data,ERdisZ *vfill,value(4,1),data,ErotX *vfill,value(4,2),data,ArotX *vfill,value(4,3),data,ERrotX *vfill,value(5,1),data,ErotY *vfill,value(5,2),data,ArotY *vfill,value(5,3),data,ERrotY *vfill,value(6,1),data,ErotZ *vfill,value(6,2),data,ArotZ *vfill,value(6,3),data,ERrotZ save,table_2 /com,-----------------------------------------------------------------------------------/com,======================================================== /com, Element Forces and Moments Comparison /com,======================================================== /com, Solution obtained from Mechanical APDL /com,****************************** *dim,elem_res_I,,3,6 *dim,elem_res_J,,3,6 *dim,pxi,,3 *dim,vyi,,3 *dim,vzi,,3 *dim,txi,,3 *dim,myi,,3 *dim,mzi,,3 *dim,pxj,,3 *dim,vyj,,3 *dim,vzj,,3 *dim,txj,,3 *dim,myj,,3 *dim,mzj,,3 esel,s,ename,,16 esel,a,ename,,18 /com,========== /com, Node I /com,========== /com, Element #1 /com,*********** *get,pxi(1,1),elem,1,smisc,1 *get,vyi(1,1),elem,1,smisc,2 *get,vzi(1,1),elem,1,smisc,3 *get,txi(1,1),elem,1,smisc,4 *get,myi(1,1),elem,1,smisc,5 *get,mzi(1,1),elem,1,smisc,6 *vfill,elem_res_I(1,1),data,pxi(1,1) *vfill,elem_res_I(1,2),data,vyi(1,1) *vfill,elem_res_I(1,3),data,vzi(1,1) *vfill,elem_res_I(1,4),data,txi(1,1) *vfill,elem_res_I(1,5),data,myi(1,1) *vfill,elem_res_I(1,6),data,mzi(1,1)


2509


/com, Element #17 /com,************* *get,pxi(2,1),elem,17,smisc,1 *get,vyi(2,1),elem,17,smisc,2 *get,vzi(2,1),elem,17,smisc,3 *get,txi(2,1),elem,17,smisc,4 *get,myi(2,1),elem,17,smisc,5 *get,mzi(2,1),elem,17,smisc,6 *vfill,elem_res_I(2,1),data,pxi(2,1) *vfill,elem_res_I(2,2),data,vyi(2,1) *vfill,elem_res_I(2,3),data,vzi(2,1) *vfill,elem_res_I(2,4),data,txi(2,1) *vfill,elem_res_I(2,5),data,myi(2,1) *vfill,elem_res_I(2,6),data,mzi(2,1) /com, Element #50 /com,************* *get,pxi(3,1),elem,50,smisc,1 *get,vyi(3,1),elem,50,smisc,2 *get,vzi(3,1),elem,50,smisc,3 *get,txi(3,1),elem,50,smisc,4 *get,myi(3,1),elem,50,smisc,5 *get,mzi(3,1),elem,50,smisc,6 *vfill,elem_res_I(3,1),data,pxi(3,1) *vfill,elem_res_I(3,2),data,vyi(3,1) *vfill,elem_res_I(3,3),data,vzi(3,1) *vfill,elem_res_I(3,4),data,txi(3,1) *vfill,elem_res_I(3,5),data,myi(3,1) *vfill,elem_res_I(3,6),data,mzi(3,1)

/com,========== /com, Node J /com,========== /com, Element #1 /com,************ *get,pxj(1,1),elem,1,smisc,7 *get,vyj(1,1),elem,1,smisc,8 *get,vzj(1,1),elem,1,smisc,9 *get,txj(1,1),elem,1,smisc,10 *get,myj(1,1),elem,1,smisc,11 *get,mzj(1,1),elem,1,smisc,12 *vfill,elem_res_J(1,1),data,pxj(1,1) *vfill,elem_res_J(1,2),data,vyj(1,1) *vfill,elem_res_J(1,3),data,vzj(1,1) *vfill,elem_res_J(1,4),data,txj(1,1) *vfill,elem_res_J(1,5),data,myj(1,1) *vfill,elem_res_J(1,6),data,mzj(1,1) /com, Element #17 /com,************* *get,pxj(2,1),elem,17,smisc,7 *get,vyj(2,1),elem,17,smisc,8 *get,vzj(2,1),elem,17,smisc,9 *get,txj(2,1),elem,17,smisc,10 *get,myj(2,1),elem,17,smisc,11 *get,mzj(2,1),elem,17,smisc,12 *vfill,elem_res_J(2,1),data,pxj(2,1) *vfill,elem_res_J(2,2),data,vyj(2,1) *vfill,elem_res_J(2,3),data,vzj(2,1) *vfill,elem_res_J(2,4),data,txj(2,1) *vfill,elem_res_J(2,5),data,myj(2,1)

2510


vm-nr1677-2-3a-a Input Listing *vfill,elem_res_J(2,6),data,mzj(2,1) /com, Element #50 /com,************* *get,pxj(3,1),elem,50,smisc,7 *get,vyj(3,1),elem,50,smisc,8 *get,vzj(3,1),elem,50,smisc,9 *get,txj(3,1),elem,50,smisc,10 *get,myj(3,1),elem,50,smisc,11 *get,mzj(3,1),elem,50,smisc,12 *vfill,elem_res_J(3,1),data,pxj(3,1) *vfill,elem_res_J(3,2),data,vyj(3,1) *vfill,elem_res_J(3,3),data,vzj(3,1) *vfill,elem_res_J(3,4),data,txj(3,1) *vfill,elem_res_J(3,5),data,myj(3,1) *vfill,elem_res_J(3,6),data,mzj(3,1) /com,---------------------------------------------------------------------------/com, Results from NRC benchmarks /com, *************************** *dim,exp_I,,3,6 *dim,exp_J,,3,6 /com, Element #1 /com,************ *vfill,exp_I(1,1),data,2.014e+03 *vfill,exp_I(1,2),data,8.689e+01 *vfill,exp_I(1,3),data,8.132e+02 *vfill,exp_I(1,4),data,1.413e+04 *vfill,exp_I(1,5),data,5.834e+04 *vfill,exp_I(1,6),data,3.861e+03 *vfill,exp_J(1,1),data,2.014e+03 *vfill,exp_J(1,2),data,8.689e+01 *vfill,exp_J(1,3),data,8.132e+02 *vfill,exp_J(1,4),data,1.413e+04 *vfill,exp_J(1,5),data,2.443e+04 *vfill,exp_J(1,6),data,5.350e+02 /com, Element #17 /com,************* *vfill,exp_I(2,1),data,6.286e+03 *vfill,exp_I(2,2),data,7.523e+02 *vfill,exp_I(2,3),data,8.733e+02 *vfill,exp_I(2,4),data,2.243e+04 *vfill,exp_I(2,5),data,8.460e+03 *vfill,exp_I(2,6),data,2.959e+04 *vfill,exp_J(2,1),data,6.286e+03 *vfill,exp_J(2,2),data,7.523e+02 *vfill,exp_J(2,3),data,8.733e+02 *vfill,exp_J(2,4),data,2.243e+04 *vfill,exp_J(2,5),data,4.353e+04 *vfill,exp_j(2,6),data,2.350e+04 /com, Element #48 /com,************* *vfill,exp_I(3,1),data,1.739e+03 *vfill,exp_I(3,2),data,3.953e+02 *vfill,exp_I(3,3),data,7.730e+02 *vfill,exp_I(3,4),data,1.464e+04 *vfill,exp_I(3,5),data,2.224e+04 *vfill,exp_I(3,6),data,1.652e+04 *vfill,exp_J(3,1),data,1.879e+03


2511

NRC Piping Benchmarks Input Listings *vfill,exp_J(3,2),data,3.953e+02 *vfill,exp_J(3,3),data,3.000e+02 *vfill,exp_J(3,4),data,2.026e+04 *vfill,exp_J(3,5),data,2.947e+04 *vfill,exp_J(3,6),data,1.633e+04 /com,--------------------------------------------------------------------------/com, Error computation /com, ********************* *dim,elem_error_I,,3,6 *dim,elem_error_J,,3,6 *dim,elem_tab,,36,3 /com,============ /com, Node I /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_I(i,j),data,abs(elem_res_I(i,j)/exp_I(i,j)) *enddo *enddo /com,============ /com, Node J /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_J(i,j),data,abs(elem_res_J(i,j)/exp_J(i,j)) *enddo *enddo /com,-------------------------------------------------------------------------*do,i,1,3 cs=(i-1)*6 *do,j,1,6 n=cs+j *vfill,elem_tab(n,1),data,exp_I(i,j) *vfill,elem_tab(n,2),data,elem_res_I(i,j) *vfill,elem_tab(n,3),data,elem_error_I(i,j) *enddo *do,j,1,6 m=cs+j+18 *vfill,elem_tab(m,1),data,exp_J(i,j) *vfill,elem_tab(m,2),data,elem_res_J(i,j) *vfill,elem_tab(m,3),data,elem_error_J(i,j) *enddo *enddo save,table_3 /com,-----------------------------------------------------------------------------------/com,***************************** /com, Reaction forces comparision /com,****************************** *dim,rf_tab,,22,3 /com, Solution obtained from Mechanical APDL /com,****************************** *GET,RFA65,NODE,65,RF,FY *GET,RFA66,NODE,66,RF,FX *GET,RFA67,NODE,67,RF,FX *GET,RFA75,NODE,75,RF,FY *GET,RFA68,NODE,68,RF,FY

2512



*GET,RFA69,NODE,69,RF,FY *GET,RFA70,NODE,70,RF,FY *GET,RFA71,NODE,71,RF,FY *GET,RFA72,NODE,72,RF,FY *GET,RFA73,NODE,73,RF,FY *GET,RFA74,NODE,74,RF,FY *GET,RFA101,NODE,101,RF,FX *GET,RFA102,NODE,102,RF,FY *GET,RFA103,NODE,103,RF,FZ *GET,RFA591,NODE,591,RF,FX *GET,RFA592,NODE,592,RF,FY *GET,RFA593,NODE,593,RF,FZ *GET,RFA120,NODE,120,RF,FX *GET,RFA310,NODE,310,RF,FX *GET,RFA61,NODE,61,RF,FX *GET,RFA62,NODE,62,RF,FX *GET,RFA63,NODE,63,RF,FX /com, Expected results from NRC manual /com,********************************** *SET,RFE65,11 *SET,RFE66,7837 *SET,RFE67,4472 *SET,RFE75,8931 *SET,RFE68,359 *SET,RFE69,729 *SET,RFE70,784 *SET,RFE71,1043 *SET,RFE72,1378 *SET,RFE73,3408 *SET,RFE74,1448 *SET,RFE101,1685 *SET,RFE102,87 *SET,RFE103,1370 *SET,RFE591,3031 *SET,RFE592,15859 *SET,RFE593,896 *SET,RFE120,6792 *SET,RFE310,11991 *SET,RFE61,801 *SET,RFE62,303 *SET,RFE63,7447 /com, Error computation /com,******************* ER65 ER66 ER67 ER75 ER68

= = = = =

ABS(RFA65/RFE65) ABS(RFA66/RFE66) ABS(RFA67/RFE67) ABS(RFA75/RFE75) ABS(RFA68/RFE68)

ER69 ER70 ER71 ER72 ER73

= = = = =


ER74 = ABS(RFA74/RFE74) ER101 = ABS(RFA101/RFE101) ER102 = ABS(RFA102/RFE102)


2513

NRC Piping Benchmarks Input Listings ER103 = ABS(RFA103/RFE103) ER591 = ABS(RFA591/RFE591) ER592 = ABS(RFA592/RFE592) ER593 = ABS(RFA593/RFE593) ER120 = ABS(RFA120/RFE120) ER310 = ABS(RFA310/RFE310) ER61 = ABS(RFA61/RFE61) ER62 = ABS(RFA62/RFE62) ER63 = ABS(RFA63/RFE63) *vfill,rf_tab(1,1),data,RFE65 *vfill,rf_tab(1,2),data,RFA65 *vfill,rf_tab(1,3),data,ER65 *vfill,rf_tab(2,1),data,RFE66 *vfill,rf_tab(2,2),data,RFA66 *vfill,rf_tab(2,3),data,ER66 *vfill,rf_tab(3,1),data,RFE67 *vfill,rf_tab(3,2),data,RFA67 *vfill,rf_tab(3,3),data,ER67 *vfill,rf_tab(4,1),data,RFE75 *vfill,rf_tab(4,2),data,RFA75 *vfill,rf_tab(4,3),data,ER75 *vfill,rf_tab(5,1),data,RFE68 *vfill,rf_tab(5,2),data,RFA68 *vfill,rf_tab(5,3),data,ER68 *vfill,rf_tab(6,1),data,RFE69 *vfill,rf_tab(6,2),data,RFA69 *vfill,rf_tab(6,3),data,ER69 *vfill,rf_tab(7,1),data,RFE70 *vfill,rf_tab(7,2),data,RFA70 *vfill,rf_tab(7,3),data,ER70 *vfill,rf_tab(8,1),data,RFE71 *vfill,rf_tab(8,2),data,RFA71 *vfill,rf_tab(8,3),data,ER71 *vfill,rf_tab(9,1),data,RFE72 *vfill,rf_tab(9,2),data,RFA72 *vfill,rf_tab(9,3),data,ER72 *vfill,rf_tab(10,1),data,RFE73 *vfill,rf_tab(10,2),data,RFA73 *vfill,rf_tab(10,3),data,ER73 *vfill,rf_tab(11,1),data,RFE74 *vfill,rf_tab(11,2),data,RFA74 *vfill,rf_tab(11,3),data,ER74 *vfill,rf_tab(12,1),data,RFE101 *vfill,rf_tab(12,2),data,RFA101 *vfill,rf_tab(12,3),data,ER101 *vfill,rf_tab(13,1),data,RFE102 *vfill,rf_tab(13,2),data,RFA102 *vfill,rf_tab(13,3),data,ER102 *vfill,rf_tab(14,1),data,RFE103 *vfill,rf_tab(14,2),data,RFA103 *vfill,rf_tab(14,3),data,ER103 *vfill,rf_tab(15,1),data,RFE591 *vfill,rf_tab(15,2),data,RFA591 *vfill,rf_tab(15,3),data,ER591

2514



*vfill,rf_tab(16,1),data,RFE592 *vfill,rf_tab(16,2),data,RFA592 *vfill,rf_tab(16,3),data,ER592 *vfill,rf_tab(17,1),data,RFE593 *vfill,rf_tab(17,2),data,RFA593 *vfill,rf_tab(17,3),data,ER593 *vfill,rf_tab(18,1),data,RFE120 *vfill,rf_tab(18,2),data,RFA120 *vfill,rf_tab(18,3),data,ER120 *vfill,rf_tab(19,1),data,RFE310 *vfill,rf_tab(19,2),data,RFA310 *vfill,rf_tab(19,3),data,ER310 *vfill,rf_tab(20,1),data,RFE61 *vfill,rf_tab(20,2),data,RFA61 *vfill,rf_tab(20,3),data,ER61 *vfill,rf_tab(21,1),data,RFE62 *vfill,rf_tab(21,2),data,RFA62 *vfill,rf_tab(21,3),data,ER62 *vfill,rf_tab(22,1),data,RFE63 *vfill,rf_tab(22,2),data,RFA63 *vfill,rf_tab(22,3),data,ER63 save,table_4 /com,-----------------------------------------------------------------------------------/com, /out, /com, /com, ------------------------vm-nr1677-2-3a-a Results Verification------------------------/com, /nopr resume,table_1 /gopr /out,vm-nr1677-2-3a-a,vrt /com, /com, =========================================== /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, =========================================== /com, /com, Mode | Expected | Mechanical APDL | /com,

Ratio

*VWRITE,moden(1),Emode(1),Amode(1),ERmode(1) (1X,F3.0,2X,F8.4,3X,F8.4,3X,F4.2,' ') /com, /com,-----------------------------------------------------------------------------------/com, /nopr resume,table_2 /gopr /com, /com,==================================================== /com, COMPARISON OF NODAL DISPLACEMENTS AND ROTATIONS /com, WITH EXPECTED RESULTS


2515

NRC Piping Benchmarks Input Listings /com,==================================================== /com, /com, /com,


Ratio

*vwrite,label2(1,1),value(1,1),value(1,2),value(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,2),value(2,1),value(2,2),value(2,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,3),value(3,1),value(3,2),value(3,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,4),value(4,1),value(4,2),value(4,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,5),value(5,1),value(5,2),value(5,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,6),value(6,1),value(6,2),value(6,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,------------------------------------------------------------------------/com, /nopr resume,table_4 /gopr /com, /com, =========================================== /com, COMPARISON OF REACTION FORCES /com, WITH EXPECTED RESULTS /com, =========================================== /com, /com, /com,

Node | Expected |

Mechanical APDL

|

Ratio

*vwrite,label5(1,1),rf_tab(1,1),rf_tab(1,2),rf_tab(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,-------------------------------------------------------------------------/com, /nopr resume,table_3 /gopr /com, /com,=============================================== /com, COMPARISON OF ELEMENT FORCES AND MOMENTS /com, WITH EXPECTED RESULTS /com,=============================================== /com, /com,-----------------------------------------------/com, Note: Element Forces and Moments for some elements /com, along Y & Z directions are flipped between Mechanical APDL /com, and NRC results /com, /com, Element numbers from Mechanical APDL and NRC are /com, different. /com, Element 1 (Mechanical APDL) = Element 1 (NRC) /com, Element 17 (Mechanical APDL) = Element 17 (NRC) /com, Element 50 (Mechanical APDL) = Element 48 (NRC) /com,------------------------------------------------

/com, /com,

2516


Ratio



/com,=============== /com, Element 1 /com,=============== /com, *vwrite,label3(1,1),elem_tab(1,1),elem_tab(1,2),elem_tab(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(19,1),elem_tab(19,2),elem_tab(19,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com, /com,=============== /com, Element 17 /com,=============== /com, *vwrite,label3(1,1),elem_tab(7,1),elem_tab(7,2),elem_tab(7,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(25,1),elem_tab(25,2),elem_tab(25,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, /com, /com,=============== /com, Element 50 /com,=============== /com, *vwrite,label3(1,1),elem_tab(13,1),elem_tab(13,2),elem_tab(13,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(31,1),elem_tab(31,2),elem_tab(31,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, /com, /com,******************************************************************* /com,******************************************************************* /com, /com, /out, *list,vm-nr1677-2-3a-a,vrt finish

vm-nr1677-2-3b-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-2-3b-a /title,vm-nr1677-2-3b-a,NRC piping benchmarks problems,Volume II,Problem 3b /com, *************************************************************************** /com, Reference: Piping benchmark problems,Dynamic analysis independant support /com, motion response spectrum method, P. Bezler, M. Subudhi and /com, M.Hartzman, NUREG/CR--1677-Vol.2, August 1985. /com,


2517


Elements used: Pipe16, Pipe18, Combin14, Results comparsion: The following results are compared against NRC piping benchmark values 1. Frequencies obtained from modal solution. 2. Maximum nodal displacements and rotations obtained from spectrum solution. 3. Element forces/moments obtained from spectrum solution. 4. Reaction forces obtained from spectrum solution. *******************************************************************************

/out,scratch /prep7 YoungModulus1 = 0.277e+08 ! Young's Modulus Nu = 0.3 ! Minor Poisson's Ratio ShearModulus1 = YoungModulus1/(2*(1+Nu)) ! Shear Modulus WMass = 1.546e-03 ! Density WTick=0.3750 ! Wall Thickness OD=12.750 ! Outer Diameter RADCUR1 = 60 ! Radius of Curvature RADCUR2 = 18 Temperature = 400 Pressue = 615 maxm=15 ! No. of Modes to Extract


! ! ! ! !


/com,------------------------------------------------------------------------------------

/com, Real Constants /com,**************** r, 1, r, 2, r, 3, r, 4, r, 5, r, 6, r, 7, r, 8, r, 9, r,10,


/com, ----------------------------------------------------------------------------------/com, Material Properties /com,*********************

2518









/com,-----------------------------------------------------------------------------------/com, Nodes /com,******* n,1,0,1226.875,0 n,2,30.021,1226.875,30.550 n,3,60.042,1226.875,61.100 n,4,90.064,1226.875,91.651 n,5,105.154,1226.875,102.817 n,6,139.302,1226.875,120.593 n,7,181.878,1226.875,142.757 n,8,224.435,1226.875,164.922 n,9,243.383,1226.875,174.774 n,10,262.311,1226.875,184.628 n,11,292.798,1226.875,191.342 n,12,334.171,1226.875,189.421 n,120,334.171,1226.875,189.421 n,13,375.543,1226.875,187.500 n,14,405.511,1226.875,186.110 n,140,431.483,1226.875,184.904 n,15,501.172,1226.875,181.669 n,16,570.860,1226.875,178.433 n,17,579.777,1226.875,178.683 n,18,615.118,1226.875,182.316 n,20,633.028,1226.875,184.156 n,21,678.227,1226.875,188.802 n,22,723.426,1226.875,193.448 n,23,768.625,1226.875,198.095 n,24,809.602,1226.875,187.256 n,25,814.057,1226.875,184.079 n,26,852.626,1226.875,156.568 n,27,891.195,1226.875,129.058 n,28,929.764,1226.875,101.547 n,29,968.332,1226.875,74.036 n,290,978.101,1226.875,67.067 n,31,1012.600,1226.875,42.430 n,310,1012.600,1226.875,42.430 n,32,1047.098,1226.875,17.793 n,34,1061.752,1244.875,7.340 n,35,1061.752,1272.375,7.340 n,36,1072.214,1290.375,-7.307 n,37,1081.623,1290.375,-20.48 n,38,1108.85,1290.375,-58.399 n,39,1136.077,1290.375,-96.317 n,40,1163.304,1290.375,-134.236 n,41,1190.531,1290.375,-172.154


2519


/com, /com, Elastic Support Nodes /com,*********************** n,410,1190.531,1290.375,-172.154 n,43,1197.006,1290.375,-182.019 n,44,1207.729,1290.375,-209.536 n,45,1211.63,1290.375,-241.111 n,46,1215.531,1290.375,-272.687 n,47,1219.432,1290.375,-304.262 n,48,1223.333,1290.375,-335.873 n,49,1227.234,1290.375,-367.413 n,51,1232.114,1290.375,-407.115 n,52,1233.704,1295.647,-419.787 n,53,1234.945,1305.772,-429.836 n,55,1254.329,1318.500,-439.952 n,56,1279.579,1318.500,-436.387 n,57,1304.829,1318.500,-432.823 n,58,1330.078,1318.500,-429.258 n,59,1355.328,1318.500,-425.693 n,61,431.943,1226.875,194.899 n,62,616.14,1226.875,172.368 n,63,974.139,1226.875,82.176 n,65,1227.234,1300.375,-367.413 n,66,1255.726,1318.500,-449.852 n,67,1182.401,1290.375,-177.966 n,68,105.154,1236.875,102.817 n,69,224.435,1236.875,164.922 n,70,405.511,1236.875,186.110 n,71,633.028,1236.875,184.156 n,72,814.057,1236.875,184.079 n,73,978.101,1236.875,67.067 n,74,1081.623,1300.375,-20.48 n,75,1190.531,1300.375,-172.154 n,101,10,1226.875,0 n,102,0,1236.875,0 n,103,0,1226.875,10 n,591,1345.328,1318.5,-425.693 n,592,1355.328,1328.5,-425.693 n,593,1355.328,1318.5,-415.693 n,601,93.495,1226.9,94.879 n,602,97.170,1226.9,97.828 n,603,101.06,1226.9,100.48 /com,-----------------------------------------------------------------------------------/com, /com, Straight Pipe (Tangent) Elements /com,********************************** mat,1 type,1 real,1


e,1,2 e,2,3 e,3,4 e,5,6 e,6,7 e,7,8 e,8,9

2520


vm-nr1677-2-3b-a Input Listing e,9,10 e,11,12 e,12,13 e,13,14 e,14,140 e,140,15 e,15,16 e,17,18 e,18,20 e,20,21 e,21,22 e,22,23 e,24,25 e,25,26 e,26,27 e,27,28 e,28,29 e,29,290 e,290,31 e,31,32 e,34,35 e,36,37 e,37,38 e,38,39 e,39,40 e,40,41 e,41,43 e,44,45 e,45,46 e,46,47 e,47,48 e,48,49 e,49,51 e,52,53 e,55,56 e,56,57 e,57,58 e,58,59 /com, /com, Pipe Bend Elements /com,******************** type,2 real,2 e,4,601,3 e,601,602,603 e,602,603,5 e,603,5,6 e,10,11,9 e,16,17,15 e,23,24,25 e,43,44,45 type,3 real,3 e,32,34,35 e,35,36,37 e,51,52,53 e,53,55,56 /com, /com, Spring Elements


2521

NRC Piping Benchmarks Input Listings /com,***************** type,4 real,4 e,49,65 type,6 real,6 e,5,68 e,8,69 e,14,70 e,20,71 e,25,72 e,290,73 e,37,74 e,410,75 type,5 real,5 n1 = 55 n2 = 66 n3 = 56 ics = 11 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 41 n2 = 67 n3 = 40 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 /com, /com, Snubber Elements /com,****************** n1 = 13 n2 = 120 n3 = 59 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 140 n2 = 61 n3 = 15 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 18

2522


vm-nr1677-2-3b-a Input Listing n2 = 62 n3 = 17 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 29 n2 = 63 n3 = 28 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 32 n2 = 310 n3 = 34 !n3 = 59 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 /com, /com, 3D Support at both ends /com,************************* type,5 real,5 e,1,101 e,59,591 type,6 real,6 e,1,102 e,59,592 type,7 real,7 e,1,103 e,59,593 type,8 real,8 e,1,101 e,59,591 type,9 real,9 e,1,102 e,59,592 type,10 real,10 e,1,103 e,59,593 /com,------------------------------------------------------------------------------------


2523

NRC Piping Benchmarks Input Listings /com, /com, Model Rigid Region /com,******************** cerig,41,410,uy /com,-----------------------------------------------------------------------------------/com, /com, Constraints /com,************* nsel,s,node,,61,63 nsel,a,node,,65,75 nsel,a,node,,101,103 nsel,a,node,,120 nsel,a,node,,310 nsel,a,node,,591,593 d,all,all,0 nsel,all /com,-----------------------------------------------------------------------------------/com, /com, Loads /com,******* /com, Temperature Input /com,******************* bf,all,temp,Temperature eplo esel,r,type,,1 esel,a,type,,2 esel,a,type,,3 /com, Pressure Input /com,**************** sfe,all,1,pres,,Pressue,,, allsel,all,all save finish /com,-----------------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal modopt,lanb,maxm lump,on mxpand,maxm,,,yes solve

/com, /com,=========================== /com, Compare Modal Frequencies /com,=========================== /com, *dim,Amode,ARRAY,maxm *dim,Emode,ARRAY,maxm *dim,ERmode,ARRAY,maxm

2524


vm-nr1677-2-3b-a Input Listing *dim,moden,ARRAY,maxm *do,i,1,maxm *GET, Amode(i), MODE, i, FREQ *enddo *VFILL,Emode,DATA,7.238,10.145,14.579,15.991,17.198,17.987,22.282,23.632,27.864,29.211 *VFILL,Emode(11),DATA,29.514,31.554,34.018,34.778,35.122 *do,i,1,maxm ERmode(i) = ABS(Amode(i)/Emode(i)) moden(i) = i *enddo save,table_1 finish /com,-----------------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution sfedele,all,1,pres,,, bfdele,all,temp,,, antype,spectrum spopt,mprs,maxm

! Multi-point response spectrum analysis

gval = 386.4 /com,-----------------------------------------------------------------------------------/com, /com, /com, Spectrum 1 (Group 1 - X - Direction Excitation) /com,************************************************* spunit,1,accg, gval spfrq,1, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,1,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,1, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6949,1.7825 spval,1,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,1, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,1,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,1, 3.2362,3.3898,3.4965,3.5714,3.6101,3.663,3.7313 spval,1,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,1, 3.8168,3.8911,3.9216,4.218,4.6948,4.7847,5.0505 spval,1,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,1, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,1,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,1, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,1,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,1, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,1,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,1, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,1,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,1, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,1,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07


2525


spfrq,1, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,1,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,1, 1000.0 spval,1,, 0.771 /com, /com, Spectrum 2 (Group 1 - Y - Direction Excitation) /com,************************************************* spunit,2,accg, gval spfrq,2, 0.5,1.4993,1.6207,1.9011,2.0704,3.8023,4.2553, spval,2,, 0.35,1.45,1.8,1.8,2.61,2.61,2.78, spfrq,2, 5.1813,5.4054,7.8125,8.1301,9.901,11.5207,14.1044, spval,2,, 2.78,2.58,2.58,3.25,3.25,3.62,3.62, spfrq,2, 14.4928,17.6991,23.9981,59.988 spval,2,, 3.05,3.05,1.20,0.75 /com, /com, Spectrum 3 (Group 1 - Z - Direction Excitation) /com,************************************************* spunit,3,accg, gval spfrq,3, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,3,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,3, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6778,1.7825 spval,3,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,3, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,3,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782, spfrq,3, 3.2362,3.3898,3.4722,3.5714,3.6101,3.663,3.7313 spval,3,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,3, 3.8168,3.8911,3.9216,4.2918,4.6948,4.7847,5.0505 spval,3,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,3, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,3,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,3, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,3,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,3, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,3,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,3, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,3,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,3, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,3,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,3, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,3,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,3, 1000.0 spval,3,, 0.771

/com,-----------------------------------------------------------------------------------/com, /com, /com, Spectrum 4 (Group 2 - X - Direction Excitation) /com,*************************************************

2526


vm-nr1677-2-3b-a Input Listing spunit,4,accg, gval spfrq,4, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,4,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,4, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6778,1.7825 spval,4,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,4, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,4,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,4, 3.2362,3.3898,3.4722,3.5714,3.6101,3.663,3.7313 spval,4,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,4, 3.8168,3.8911,3.9216,4.2918,4.6948,4.7847,5.0505 spval,4,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,4, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,4,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,4, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,4,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,4, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,4,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,4, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,4,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,4, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,4,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,4, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,4,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,4, 1000.0 spval,4,, 0.771 /com, /com, Spectrum 5 (Group 2 - Y - Direction Excitation) /com,************************************************* spunit,5,accg, gval spfrq,5, 0.50,1.4556,1.9011,2.0704,2.907,4.065,4.9603 spval,5,, 1.45,1.8,1.8,2.68,2.68,3.17,3.17 spfrq,5, 5.0,7.5988,8.5034,10.9051,11.5207,14.0845,16.0 spval,5,, 3.03,3.03,4.82,4.82,5.95,5.95,4.49 spfrq,5, 19.1205,21.0084,50.0 spval,5,, 4.49,1.85,1.05 /com, /com, Spectrum 6 (Group 2 - Z - Direction Excitation) /com,************************************************* spunit,6,accg, gval spfrq,6, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,6,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,6, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6778,1.7825 spval,6,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,6, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,6,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,6, 3.2362,3.3898,3.4722,3.5714,3.6101,3.663,3.7313 spval,6,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,6, 3.8168,3.8911,3.9216,4.2918,4.6948,4.7847,5.0505


2527

NRC Piping Benchmarks Input Listings spval,6,,

4.793,5.189,5.224,5.232,5.227,5.152,3.002

spfrq,6, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,6,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,6, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,6,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,6, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,6,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,6, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,6,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,6, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,6,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,6, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,6,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,6, 1000.0 spval,6,, 0.771 /com,-----------------------------------------------------------------------------------/com, /com, /com, Spectrum 7 (Group 3 - X - Direction Excitation) /com,************************************************* spunit,7,accg, gval spfrq,7, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,7,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,7, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6778,1.7825 spval,7,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,7, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,7,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,7, 3.2362,3.3898,3.4722,3.5714,3.6101,3.663,3.7313 spval,7,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,7, 3.8168,3.8911,3.9216,4.2918,4.6948,4.7847,5.0505 spval,7,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,7, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,7,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,7, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,7,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,7, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,7,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,7, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,7,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,7, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,7,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,7, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,7,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,7, 1000.0 spval,7,, 0.771 /com, /com, Spectrum 8 (Group 3 - Y - Direction Excitation) /com,*************************************************

2528


vm-nr1677-2-3b-a Input Listing spunit,8,accg, gval spfrq,8, 0.5,1.9011,2.0704,3.003,4.0486,4.9505,7.1942 spval,8,, 0.4,1.88,2.72,2.72,3.42,3.42,3.82 spfrq,8, 8.1301,9.5238,10.352,12.6422,13.5135,15.4083,15.7978 spval,8,, 7.21,7.21,8.18,8.18,6.39,6.39,5.92 spfrq,8, 17.6991,21.0084,50.0 spval,8,, 5.92,2.25,1.55 /com, /com, Spectrum 9 (Group 3 - Z - Direction Excitation) /com,************************************************* spunit,9,accg, gval spfrq,9, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,9,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,9, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6778,1.7825 spval,9,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,9, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,9,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,9, 3.2362,3.3898,3.4722,3.5714,3.6101,3.663,3.7313 spval,9,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,9, 3.8168,3.8911,3.9216,4.2918,4.6948,4.7847,5.0505 spval,9,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,9, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,9,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,9, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,9,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,9, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,9,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,9, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,9,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,9, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,9,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,9, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,9,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,9, 1000.0 spval,9,, 0.771 /com,-----------------------------------------------------------------------------------/com, /com, /com, Spectrum 10 (Group 4 - X - Direction Excitation) /com,************************************************** spunit,10,accg, gval spfrq,10, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,10,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,10, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6778,1.7825 spval,10,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,10, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,10,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,10, 3.2362,3.3898,3.4722,3.5714,3.6101,3.663,3.7313


2529


2.951,3.066,3.215,3.384,3.532,3.766,4.189

spfrq,10, 3.8168,3.8911,3.9216,4.2918,4.6948,4.7847,5.0505 spval,10,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,10, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,10,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,10, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,10,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,10, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,10,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,10, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,10,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,10, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,10,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,10, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,10,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,10, 1000.0 spval,10,, 0.771

/com, /com, Spectrum 11 (Group 4 - Y - Direction Excitation) /com,************************************************** spunit,11,accg, gval spfrq,11, 0.5,1.3004,2.0,3.003,4.0486,4.9505,6.993 spval,11,, 0.5,1.4,2.75,2.75,3.5,3.5,4.5 spfrq,11, 8.1301,10.4167,11.4943,14.845,17.5439,22.2222,50.0 spval,11,, 12.1,12.1,10.7,10.7,2.7,1.8,1.5

/com, /com, Spectrum 12 (Group 4 - Z - Direction Excitation) /com,************************************************** spunit,12,accg, gval spfrq,12, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,12,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,12, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6778,1.7825 spval,12,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,12, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,12,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,12, 3.2362,3.3898,3.4722,3.5714,3.6101,3.663,3.7313 spval,12,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,12, 3.8168,3.8911,3.9216,4.2918,4.6948,4.7847,5.0505 spval,12,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,12, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,12,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,12, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,12,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,12, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,12,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,12, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,12,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855

2530



spfrq,12, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,12,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,12, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,12,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,12, 1000.0 spval,12,, 0.771 /com,-----------------------------------------------------------------------------------/com, /com, /com, Nodal Components for Excitation Points (non rotated) /com,****************************************************** allsel,all nsel,s,node,,68 nsel,a,node,,71 nsel,a,node,,73 nsel,a,node,,591,593 nplo cm,group_1,node allsel,all,all nsel,s,node,,70 nsel,a,node,,75 nsel,a,node,,65 nplo cm,group_2,node allsel,all,all nsel,s,node,,69 nsel,a,node,,72 nsel,a,node,,74 nplo cm,group_3,node allsel,all,all nsel,s,node,,101,103 nplo cm,group_4,node allsel,all,

/com,-----------------------------------------------------------------------------------/com, /com, /com, -- Support Group 1 - spectrum 1 (Along X - Direction)(68,61,71,63,73,310,591,592,593) /com,**************************************************************************************** d,591,ux,1.0 d,61,ux,4.5974e-2 d,63,ux,0.58075 d,310,ux,-0.81378 pfact,1 d,591,ux,0.0 d,61,ux,0 d,63,ux,0 d,310,ux,0 /com, /com, -- Support Group 1 - spectrum 2 (Along Y - Direction) /com,*******************************************************


2531

NRC Piping Benchmarks Input Listings d,68,uy,1 d,71,uy,1 d,73,uy,1 d,592,uy,1 d,61,ux,-0.5842e-16 d,63,ux,0.2567e-16 d,310,ux,-0.2074e-15 pfact,2 d,68,uy,0 d,71,uy,0 d,73,uy,0 d,592,uy,0 d,61,ux,0 d,63,ux,0 d,310,ux,0 /com, /com, -- Support Group 1 - spectrum 3 (Along Z - Direction) /com,******************************************************* d,593,uz,1.0 d,61,ux,0.9989 d,63,ux,0.8141 d,310,ux,0.5812 pfact,3 d,593,uz,0.0 d,61,ux,0 d,63,ux,0 d,310,ux,0 /com,-----------------------------------------------------------------------------------/com, /com, /com, -- Support Group 2 - spectrum 4 (Along X - Direction)(120,70,62,65,75,67) /com,***************************************************************************

d,120,ux,-0.998923 d,62,ux,0.1021963 d,67,ux,-0.8135 pfact,4 d,120,ux,0 d,62,ux,0 d,67,ux,0 /com, /com, -- Support Group 2 - spectrum 5 (Along Y - Direction) /com,******************************************************* d,70,uy,1 d,65,uy,1 d,75,uy,1 d,120,ux,0.1299e-13 d,62,ux,0.5497e-16 d,67,ux,0.1110e-15 pfact,5 d,70,uy,0 d,65,uy,0 d,75,uy,0 d,120,ux,0 d,62,ux,0 d,67,ux,0

2532


vm-nr1677-2-3b-a Input Listing /com, /com, -- Support Group 2 - spectrum 6 (Along Z - Direction) /com,******************************************************* d,120,ux,0.4638e-01 d,62,ux,-0.9948 d,67,ux,-0.5816 pfact,6 d,120,ux,0 d,62,ux,0 d,67,ux,0 /com,-----------------------------------------------------------------------------------/com, /com, /com, -- Support Group 3 - spectrum 7 (Along X - Direction)(69,72,74) /com,***************************************************************** pfact,7 /com, /com, -- Support Group 3 - spectrum 8 (Along Y - Direction) /com,******************************************************* d,69,uy,1 d,72,uy,1 d,74,uy,1 pfact,8 d,69,uy,0 d,72,uy,0 d,74,uy,0 /com, /com, -- Support Group 3 - spectrum 9 (Along Z - Direction) /com,******************************************************* pfact,9 /com,-----------------------------------------------------------------------------------/com, /com, /com, -- Support Group 4 - spectrum 10 (Along X - Direction)(101,102,103,55) /com,************************************************************************ d,101,ux,1.0 d,66,ux,0.1397268 pfact,10 d,101,ux,0 d,66,ux,0 /com, /com, -- Support Group 4 - spectrum 11 (Along Y - Direction) /com,******************************************************** d,102,uy,1 d,66,ux,-0.5268e-16 pfact,11 d,102,uy,0 d,66,ux,0 /com, /com, -- Support Group 4 - spectrum 12 (Along Z - Direction)


2533

NRC Piping Benchmarks Input Listings /com,******************************************************** d,103,uz,1 d,66,ux,-0.9902 pfact,12 d,103,uz,0 d,66,ux,0 srss,0.0 solve

! take all modes (Mode combination method)

/com,-----------------------------------------------------------------------------------/com, finish /com,-----------------------------------------------------------------------------------/com, /post1 /input,,mcom /com,----------------------------------/com, *Labels* *dim,label2,char,1,6 *dim,label3,char,6,1 *dim,label4,char,6,1 *dim,label5,char,22,1 /com,------------------------label2(1,1) label2(1,2) label2(1,3) label2(1,4) label2(1,5) label2(1,6)


/com,----------------------label3(1,1)='PX(I)' label3(2,1)='VY(I)' label3(3,1)='VZ(I)' label3(4,1)='TX(I)' label3(5,1)='MY(I)' label3(6,1)='MZ(I)' /com,----------------------label4(1,1)='PX(J)' label4(2,1)='VY(J)' label4(3,1)='VZ(J)' label4(4,1)='TX(J)' label4(5,1)='MY(J)' label4(6,1)='MZ(J)' /com,------------------------label5(1,1)='65' label5(2,1)='66' label5(3,1)='67' label5(4,1)='75' label5(5,1)='68' label5(6,1)='69' label5(7,1)='70' label5(8,1)='71' label5(9,1)='72' label5(10,1)='73' label5(11,1)='74' label5(12,1)='101'

2534


vm-nr1677-2-3b-a Input Listing label5(13,1)='102' label5(14,1)='103' label5(15,1)='591' label5(16,1)='592' label5(17,1)='593' label5(18,1)='120' label5(19,1)='61' label5(20,1)='62' label5(21,1)='63' label5(22,1)='310'

/com,-----------------------------------------------------------------------------------/com, /com,======================================================== /com, Maximum nodal displacements and rotations comparsion /com,======================================================== /com, /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,36,U,X *GET,AdisY,NODE,51,U,Y *GET,AdisZ,NODE,36,U,Z *GET,ArotX,NODE,22,ROT,X *GET,ArotY,NODE,22,ROT,Y *GET,ArotZ,NODE,35,ROT,Z /com, /com, Expected results from NRC manual /com, ********************************* *SET,EdisX,5.67443e-01 *SET,EdisY,3.88826e-01 *SET,EdisZ,5.21947e-01 *SET,ErotX,2.78523e-03 *SET,ErotY,8.14600e-05 *SET,ErotZ,7.05298e-03 /com, /com, Error computation /com,******************** ERdisX=ABS(AdisX/EdisX) ERdisY=ABS(AdisY/EdisY) ERdisZ=ABS(AdisZ/EdisZ) ERrotX=ABS((ArotX)/(ErotX)) ERrotY=ABS((ArotY)/(ErotY)) ERrotZ=ABS((ArotZ)/(ErotZ)) *dim,value,,6,3 *vfill,value(1,1),data,EdisX *vfill,value(1,2),data,AdisX *vfill,value(1,3),data,ERdisX *vfill,value(2,1),data,EdisY *vfill,value(2,2),data,AdisY *vfill,value(2,3),data,ERdisY *vfill,value(3,1),data,EdisZ *vfill,value(3,2),data,AdisZ *vfill,value(3,3),data,ERdisZ *vfill,value(4,1),data,ErotX *vfill,value(4,2),data,ArotX *vfill,value(4,3),data,ERrotX *vfill,value(5,1),data,ErotY *vfill,value(5,2),data,ArotY


2535

NRC Piping Benchmarks Input Listings *vfill,value(5,3),data,ERrotY *vfill,value(6,1),data,ErotZ *vfill,value(6,2),data,ArotZ *vfill,value(6,3),data,ERrotZ save,table_2 /com,-----------------------------------------------------------------------------------/com,======================================================== /com, Element Forces and Moments Comparison /com,======================================================== /com, Solution obtained from Mechanical APDL /com,****************************** *dim,elem_res_I,,3,6 *dim,elem_res_J,,3,6 *dim,pxi,,3 *dim,vyi,,3 *dim,vzi,,3 *dim,txi,,3 *dim,myi,,3 *dim,mzi,,3 *dim,pxj,,3 *dim,vyj,,3 *dim,vzj,,3 *dim,txj,,3 *dim,myj,,3 *dim,mzj,,3 esel,s,ename,,16 esel,a,ename,,18 /com,========== /com, Node I /com,========== /com, Element #1 /com,*********** *get,pxi(1,1),elem,1,smisc,1 *get,vyi(1,1),elem,1,smisc,2 *get,vzi(1,1),elem,1,smisc,3 *get,txi(1,1),elem,1,smisc,4 *get,myi(1,1),elem,1,smisc,5 *get,mzi(1,1),elem,1,smisc,6 *vfill,elem_res_I(1,1),data,pxi(1,1) *vfill,elem_res_I(1,2),data,vyi(1,1) *vfill,elem_res_I(1,3),data,vzi(1,1) *vfill,elem_res_I(1,4),data,txi(1,1) *vfill,elem_res_I(1,5),data,myi(1,1) *vfill,elem_res_I(1,6),data,mzi(1,1) /com, Element #17 /com,************* *get,pxi(2,1),elem,17,smisc,1 *get,vyi(2,1),elem,17,smisc,2 *get,vzi(2,1),elem,17,smisc,3 *get,txi(2,1),elem,17,smisc,4 *get,myi(2,1),elem,17,smisc,5 *get,mzi(2,1),elem,17,smisc,6 *vfill,elem_res_I(2,1),data,pxi(2,1) *vfill,elem_res_I(2,2),data,vyi(2,1) *vfill,elem_res_I(2,3),data,vzi(2,1) *vfill,elem_res_I(2,4),data,txi(2,1)

2536


vm-nr1677-2-3b-a Input Listing *vfill,elem_res_I(2,5),data,myi(2,1) *vfill,elem_res_I(2,6),data,mzi(2,1) /com, Element #50 /com,************* *get,pxi(3,1),elem,50,smisc,1 *get,vyi(3,1),elem,50,smisc,2 *get,vzi(3,1),elem,50,smisc,3 *get,txi(3,1),elem,50,smisc,4 *get,myi(3,1),elem,50,smisc,5 *get,mzi(3,1),elem,50,smisc,6 *vfill,elem_res_I(3,1),data,pxi(3,1) *vfill,elem_res_I(3,2),data,vyi(3,1) *vfill,elem_res_I(3,3),data,vzi(3,1) *vfill,elem_res_I(3,4),data,txi(3,1) *vfill,elem_res_I(3,5),data,myi(3,1) *vfill,elem_res_I(3,6),data,mzi(3,1)

/com,========== /com, Node J /com,========== /com, Element #1 /com,************ *get,pxj(1,1),elem,1,smisc,7 *get,vyj(1,1),elem,1,smisc,8 *get,vzj(1,1),elem,1,smisc,9 *get,txj(1,1),elem,1,smisc,10 *get,myj(1,1),elem,1,smisc,11 *get,mzj(1,1),elem,1,smisc,12 *vfill,elem_res_J(1,1),data,pxj(1,1) *vfill,elem_res_J(1,2),data,vyj(1,1) *vfill,elem_res_J(1,3),data,vzj(1,1) *vfill,elem_res_J(1,4),data,txj(1,1) *vfill,elem_res_J(1,5),data,myj(1,1) *vfill,elem_res_J(1,6),data,mzj(1,1) /com, Element #17 /com,************* *get,pxj(2,1),elem,17,smisc,7 *get,vyj(2,1),elem,17,smisc,8 *get,vzj(2,1),elem,17,smisc,9 *get,txj(2,1),elem,17,smisc,10 *get,myj(2,1),elem,17,smisc,11 *get,mzj(2,1),elem,17,smisc,12 *vfill,elem_res_J(2,1),data,pxj(2,1) *vfill,elem_res_J(2,2),data,vyj(2,1) *vfill,elem_res_J(2,3),data,vzj(2,1) *vfill,elem_res_J(2,4),data,txj(2,1) *vfill,elem_res_J(2,5),data,myj(2,1) *vfill,elem_res_J(2,6),data,mzj(2,1) /com, Element #50 /com,************* *get,pxj(3,1),elem,50,smisc,7 *get,vyj(3,1),elem,50,smisc,8 *get,vzj(3,1),elem,50,smisc,9 *get,txj(3,1),elem,50,smisc,10 *get,myj(3,1),elem,50,smisc,11 *get,mzj(3,1),elem,50,smisc,12 *vfill,elem_res_J(3,1),data,pxj(3,1) *vfill,elem_res_J(3,2),data,vyj(3,1) *vfill,elem_res_J(3,3),data,vzj(3,1)


2537

NRC Piping Benchmarks Input Listings *vfill,elem_res_J(3,4),data,txj(3,1) *vfill,elem_res_J(3,5),data,myj(3,1) *vfill,elem_res_J(3,6),data,mzj(3,1) /com,---------------------------------------------------------------------------/com, Results from NRC benchmarks /com, *************************** *dim,exp_I,,3,6 *dim,exp_J,,3,6 /com, Element #1 /com,************ *vfill,exp_I(1,1),data,3.807e+03 *vfill,exp_I(1,2),data,1.091e+02 *vfill,exp_I(1,3),data,1.139e+03 *vfill,exp_I(1,4),data,1.722e+04 *vfill,exp_I(1,5),data,7.741e+04 *vfill,exp_I(1,6),data,5.027e+03 *vfill,exp_J(1,1),data,3.807e+03 *vfill,exp_J(1,2),data,1.091e+02 *vfill,exp_J(1,3),data,1.139e+03 *vfill,exp_J(1,4),data,1.722e+04 *vfill,exp_J(1,5),data,3.093e+04 *vfill,exp_J(1,6),data,7.753e+02 /com, Element #17 /com,************* *vfill,exp_I(2,1),data,3.539e+03 *vfill,exp_I(2,2),data,9.333e+02 *vfill,exp_I(2,3),data,5.331e+02 *vfill,exp_I(2,4),data,2.639e+04 *vfill,exp_I(2,5),data,9.809e+03 *vfill,exp_I(2,6),data,4.163e+04 *vfill,exp_J(2,1),data,3.539e+03 *vfill,exp_J(2,2),data,9.333e+02 *vfill,exp_J(2,3),data,5.331e+02 *vfill,exp_J(2,4),data,2.639e+04 *vfill,exp_J(2,5),data,2.900e+04 *vfill,exp_j(2,6),data,4.198e+04 /com, Element #48 /com,************* *vfill,exp_I(3,1),data,3.150e+03 *vfill,exp_I(3,2),data,6.496e+02 *vfill,exp_I(3,3),data,1.386e+03 *vfill,exp_I(3,4),data,1.748e+04 *vfill,exp_I(3,5),data,2.813e+04 *vfill,exp_I(3,6),data,1.915e+04 *vfill,exp_J(3,1),data,3.413e+03 *vfill,exp_J(3,2),data,6.496e+02 *vfill,exp_J(3,3),data,4.442e+02 *vfill,exp_J(3,4),data,2.351e+04 *vfill,exp_J(3,5),data,3.899e+04 *vfill,exp_J(3,6),data,2.353e+04 /com,--------------------------------------------------------------------------/com, Error computation /com, ********************* *dim,elem_error_I,,3,6 *dim,elem_error_J,,3,6 *dim,elem_tab,,36,3

2538


vm-nr1677-2-3b-a Input Listing /com,============ /com, Node I /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_I(i,j),data,abs(elem_res_I(i,j)/exp_I(i,j)) *enddo *enddo /com,============ /com, Node J /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_J(i,j),data,abs(elem_res_J(i,j)/exp_J(i,j)) *enddo *enddo /com,-------------------------------------------------------------------------*do,i,1,3 cs=(i-1)*6 *do,j,1,6 n=cs+j *vfill,elem_tab(n,1),data,exp_I(i,j) *vfill,elem_tab(n,2),data,elem_res_I(i,j) *vfill,elem_tab(n,3),data,elem_error_I(i,j) *enddo *do,j,1,6 m=cs+j+18 *vfill,elem_tab(m,1),data,exp_J(i,j) *vfill,elem_tab(m,2),data,elem_res_J(i,j) *vfill,elem_tab(m,3),data,elem_error_J(i,j) *enddo *enddo save,table_3 /com,-----------------------------------------------------------------------------------/com,***************************** /com, Reaction forces comparision /com,****************************** *dim,rf_tab,,22,3 /com, Solution obtained from Mechanical APDL /com,****************************** *GET,RFA65,NODE,65,RF,FY *GET,RFA66,NODE,66,RF,FX *GET,RFA67,NODE,67,RF,FX *GET,RFA75,NODE,75,RF,FY *GET,RFA68,NODE,68,RF,FY *GET,RFA69,NODE,69,RF,FY *GET,RFA70,NODE,70,RF,FY *GET,RFA71,NODE,71,RF,FY *GET,RFA72,NODE,72,RF,FY *GET,RFA73,NODE,73,RF,FY *GET,RFA74,NODE,74,RF,FY *GET,RFA101,NODE,101,RF,FX *GET,RFA102,NODE,102,RF,FY *GET,RFA103,NODE,103,RF,FZ *GET,RFA591,NODE,591,RF,FX *GET,RFA592,NODE,592,RF,FY *GET,RFA593,NODE,593,RF,FZ


2539


*GET,RFA120,NODE,120,RF,FX *GET,RFA61,NODE,61,RF,FX *GET,RFA62,NODE,62,RF,FX *GET,RFA63,NODE,63,RF,FX *GET,RFA310,NODE,310,RF,FX /com, Expected results from NRC manual /com,********************************** *SET,RFE65,4 *SET,RFE66,6845 *SET,RFE67,3100 *SET,RFE75,2923 *SET,RFE68,524 *SET,RFE69,1144 *SET,RFE70,1068 *SET,RFE71,1416 *SET,RFE72,1666 *SET,RFE73,2776 *SET,RFE74,1738 *SET,RFE101,3160 *SET,RFE102,109 *SET,RFE103,2408 *SET,RFE591,2834 *SET,RFE592,4923 *SET,RFE593,803 *SET,RFE120,4953 *SET,RFE61,831 *SET,RFE62,312 *SET,RFE63,4411 *SET,RFE310,5898 /com, Error computation /com,******************* ER65 ER66 ER67 ER75 ER68

= = = = =


ER69 ER70 ER71 ER72 ER73

= = = = =


ER74 ER101 ER102 ER103 ER591

= = = = =


ER592 = ABS(RFA592/RFE592) ER593 = ABS(RFA593/RFE593) ER120 = ABS(RFA120/RFE120) ER61 = ABS(RFA61/RFE61) ER62 = ABS(RFA62/RFE62) ER63 = ABS(RFA63/RFE63) ER310 = ABS(RFA310/RFE310) *vfill,rf_tab(1,1),data,RFE65 *vfill,rf_tab(1,2),data,RFA65 *vfill,rf_tab(1,3),data,ER65 *vfill,rf_tab(2,1),data,RFE66

2540


vm-nr1677-2-3b-a Input Listing *vfill,rf_tab(2,2),data,RFA66 *vfill,rf_tab(2,3),data,ER66 *vfill,rf_tab(3,1),data,RFE67 *vfill,rf_tab(3,2),data,RFA67 *vfill,rf_tab(3,3),data,ER67 *vfill,rf_tab(4,1),data,RFE75 *vfill,rf_tab(4,2),data,RFA75 *vfill,rf_tab(4,3),data,ER75 *vfill,rf_tab(5,1),data,RFE68 *vfill,rf_tab(5,2),data,RFA68 *vfill,rf_tab(5,3),data,ER68 *vfill,rf_tab(6,1),data,RFE69 *vfill,rf_tab(6,2),data,RFA69 *vfill,rf_tab(6,3),data,ER69 *vfill,rf_tab(7,1),data,RFE70 *vfill,rf_tab(7,2),data,RFA70 *vfill,rf_tab(7,3),data,ER70 *vfill,rf_tab(8,1),data,RFE71 *vfill,rf_tab(8,2),data,RFA71 *vfill,rf_tab(8,3),data,ER71 *vfill,rf_tab(9,1),data,RFE72 *vfill,rf_tab(9,2),data,RFA72 *vfill,rf_tab(9,3),data,ER72 *vfill,rf_tab(10,1),data,RFE73 *vfill,rf_tab(10,2),data,RFA73 *vfill,rf_tab(10,3),data,ER73 *vfill,rf_tab(11,1),data,RFE74 *vfill,rf_tab(11,2),data,RFA74 *vfill,rf_tab(11,3),data,ER74 *vfill,rf_tab(12,1),data,RFE101 *vfill,rf_tab(12,2),data,RFA101 *vfill,rf_tab(12,3),data,ER101 *vfill,rf_tab(13,1),data,RFE102 *vfill,rf_tab(13,2),data,RFA102 *vfill,rf_tab(13,3),data,ER102 *vfill,rf_tab(14,1),data,RFE103 *vfill,rf_tab(14,2),data,RFA103 *vfill,rf_tab(14,3),data,ER103 *vfill,rf_tab(15,1),data,RFE591 *vfill,rf_tab(15,2),data,RFA591 *vfill,rf_tab(15,3),data,ER591 *vfill,rf_tab(16,1),data,RFE592 *vfill,rf_tab(16,2),data,RFA592 *vfill,rf_tab(16,3),data,ER592 *vfill,rf_tab(17,1),data,RFE593 *vfill,rf_tab(17,2),data,RFA593 *vfill,rf_tab(17,3),data,ER593 *vfill,rf_tab(18,1),data,RFE120 *vfill,rf_tab(18,2),data,RFA120 *vfill,rf_tab(18,3),data,ER120 *vfill,rf_tab(19,1),data,RFE61 *vfill,rf_tab(19,2),data,RFA61 *vfill,rf_tab(19,3),data,ER61 *vfill,rf_tab(20,1),data,RFE62


2541

NRC Piping Benchmarks Input Listings *vfill,rf_tab(20,2),data,RFA62 *vfill,rf_tab(20,3),data,ER62 *vfill,rf_tab(21,1),data,RFE63 *vfill,rf_tab(21,2),data,RFA63 *vfill,rf_tab(21,3),data,ER63 *vfill,rf_tab(22,1),data,RFE310 *vfill,rf_tab(22,2),data,RFA310 *vfill,rf_tab(22,3),data,ER310 save,table_4 /com,-----------------------------------------------------------------------------------/com, /out, /nopr resume,table_1 /gopr /out,vm-nr1677-2-3b-a,vrt /com, /com, ---------------------vm-nr1677-2-3b-a Results Verification ------------------------------/com, /com, /com, =========================================== /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, =========================================== /com, /com, Mode | Expected | Mechanical APDL | /com,

Ratio



Ratio

*vwrite,label2(1,1),value(1,1),value(1,2),value(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,2),value(2,1),value(2,2),value(2,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,3),value(3,1),value(3,2),value(3,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,4),value(4,1),value(4,2),value(4,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,5),value(5,1),value(5,2),value(5,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,6),value(6,1),value(6,2),value(6,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)

2542



/com, /com,------------------------------------------------------------------------/com, /nopr resume,table_4 /gopr /com, /com, =========================================== /com, COMPARISON OF REACTION FORCES /com, WITH EXPECTED RESULTS /com, =========================================== /com, /com, /com,

Node | Expected |

Mechanical APDL

|

Ratio

*vwrite,label5(1,1),rf_tab(1,1),rf_tab(1,2),rf_tab(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,-------------------------------------------------------------------------/com, /nopr resume,table_3 /gopr /com, /com,=============================================== /com, COMPARISON OF ELEMENT FORCES AND MOMENTS /com, WITH EXPECTED RESULTS /com,=============================================== /com, /com,-----------------------------------------------/com, Note: Element Forces and Moments for some elements /com, along Y & Z directions are flipped between Mechanical APDL /com, and NRC results /com, /com, Element numbers from Mechanical APDL and NRC are /com, different. /com, Element 1 (Mechanical APDL) = Element 1 (NRC) /com, Element 17 (Mechanical APDL) = Element 17 (NRC) /com, Element 50 (Mechanical APDL) = Element 48 (NRC) /com,------------------------------------------------

/com, /com,


Ratio

/com,=============== /com, Element 1 /com,=============== /com, *vwrite,label3(1,1),elem_tab(1,1),elem_tab(1,2),elem_tab(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(19,1),elem_tab(19,2),elem_tab(19,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com, /com,===============


2543

NRC Piping Benchmarks Input Listings /com, Element 17 /com,=============== /com, *vwrite,label3(1,1),elem_tab(7,1),elem_tab(7,2),elem_tab(7,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(25,1),elem_tab(25,2),elem_tab(25,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, /com, /com,=============== /com, Element 50 /com,=============== /com, *vwrite,label3(1,1),elem_tab(13,1),elem_tab(13,2),elem_tab(13,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(31,1),elem_tab(31,2),elem_tab(31,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, /com, /com,******************************************************************* /com,******************************************************************* /com, /com, /out, *list,vm-nr1677-2-3b-a,vrt finish

vm-nr1677-2-3c-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-2-3c-a /title,vm-nr1677-2-3c-a,NRC piping benchmarks problems,Volume II,Problem 3c /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com,

******************************************************************************* Reference: Piping benchmark problems,Dynamic analysis independant support motion response spectrum method, P. Bezler, M. Subudhi and M.Hartzman, NUREG/CR--1677-Vol.2, August 1985.

Element used: Pipe16, Pipe18, Combin14, Results comparsion: The following results are compared against NRC piping benchmark values 1. Frequencies obtained from modal solution. 2. Maximum nodal displacements and rotations obtained from spectrum solution. 3. Element forces/moments obtained from spectrum solution. 4. Reaction forces obtained from spectrum solution. *******************************************************************************

/out,scratch /prep7 YoungModulus1 = 0.277e+08 ! Young's Modulus Nu = 0.3 ! Minor Poisson's Ratio

2544


vm-nr1677-2-3c-a Input Listing ShearModulus1 = YoungModulus1/(2*(1+Nu)) ! Shear Modulus WMass = 1.546e-03 ! Density WTick=0.3750 ! Wall Thickness OD=12.750 ! Outer Diameter RADCUR1 = 60 ! Radius of Curvature RADCUR2 = 18 Temperature = 400 Pressue = 615 maxm=15 ! No. of Modes to Extract


! ! ! ! !


/com,-----------------------------------------------------------------------------------/com, Real Constants /com,**************** r, 1, r, 2, r, 3, r, 4, r, 5, r, 6, r, 7, r, 8, r, 9, r,10,


/com, ---------------------------------------------------------------------------------/com, Material Properties /com,********************* mp,ex, 1, mp,nuxy,1, mp,gxy ,1, mp,dens,1,






/com,-----------------------------------------------------------------------------------/com, Nodes


2545

NRC Piping Benchmarks Input Listings /com,******* n,1,0,1226.875,0 n,2,30.021,1226.875,30.550 n,3,60.042,1226.875,61.100 n,4,90.064,1226.875,91.651 n,5,105.154,1226.875,102.817 n,6,139.302,1226.875,120.593 n,7,181.878,1226.875,142.757 n,8,224.435,1226.875,164.922 n,9,243.383,1226.875,174.774 n,10,262.311,1226.875,184.628 n,11,292.798,1226.875,191.342 n,12,334.171,1226.875,189.421 n,120,334.171,1226.875,189.421 n,13,375.543,1226.875,187.500 n,14,405.511,1226.875,186.110 n,140,431.483,1226.875,184.904 n,15,501.172,1226.875,181.669 n,16,570.860,1226.875,178.433 n,17,579.777,1226.875,178.683 n,18,615.118,1226.875,182.316 n,20,633.028,1226.875,184.156 n,21,678.227,1226.875,188.802 n,22,723.426,1226.875,193.448 n,23,768.625,1226.875,198.095 n,24,809.602,1226.875,187.256 n,25,814.057,1226.875,184.079 n,26,852.626,1226.875,156.568 n,27,891.195,1226.875,129.058 n,28,929.764,1226.875,101.547 n,29,968.332,1226.875,74.036 n,290,978.101,1226.875,67.067 n,31,1012.600,1226.875,42.430 n,310,1012.600,1226.875,42.430 n,32,1047.098,1226.875,17.793 n,34,1061.752,1244.875,7.340 n,35,1061.752,1272.375,7.340 n,36,1072.214,1290.375,-7.307 n,37,1081.623,1290.375,-20.48 n,38,1108.85,1290.375,-58.399 n,39,1136.077,1290.375,-96.317 n,40,1163.304,1290.375,-134.236 n,41,1190.531,1290.375,-172.154 /com, /com, Elastic Support Nodes /com,*********************** n,410,1190.531,1290.375,-172.154 n,43,1197.006,1290.375,-182.019 n,44,1207.729,1290.375,-209.536 n,45,1211.63,1290.375,-241.111 n,46,1215.531,1290.375,-272.687 n,47,1219.432,1290.375,-304.262 n,48,1223.333,1290.375,-335.873 n,49,1227.234,1290.375,-367.413 n,51,1232.114,1290.375,-407.115 n,52,1233.704,1295.647,-419.787 n,53,1234.945,1305.772,-429.836

2546


vm-nr1677-2-3c-a Input Listing n,55,1254.329,1318.500,-439.952 n,56,1279.579,1318.500,-436.387 n,57,1304.829,1318.500,-432.823 n,58,1330.078,1318.500,-429.258 n,59,1355.328,1318.500,-425.693 n,61,431.943,1226.875,194.899 n,62,616.14,1226.875,172.368 n,63,974.139,1226.875,82.176 n,65,1227.234,1300.375,-367.413 n,66,1255.726,1318.500,-449.852 n,67,1182.401,1290.375,-177.966 n,68,105.154,1236.875,102.817 n,69,224.435,1236.875,164.922 n,70,405.511,1236.875,186.110 n,71,633.028,1236.875,184.156 n,72,814.057,1236.875,184.079 n,73,978.101,1236.875,67.067 n,74,1081.623,1300.375,-20.48 n,75,1190.531,1300.375,-172.154 n,101,10,1226.875,0 n,102,0,1236.875,0 n,103,0,1226.875,10 n,591,1345.328,1318.5,-425.693 n,592,1355.328,1328.5,-425.693 n,593,1355.328,1318.5,-415.693 n,601,93.495,1226.9,94.879 n,602,97.170,1226.9,97.828 n,603,101.06,1226.9,100.48 /com,-----------------------------------------------------------------------------------/com, /com, Straight Pipe (Tangent) Elements /com,********************************** mat,1 type,1 real,1


e,1,2 e,2,3 e,3,4 e,5,6 e,6,7 e,7,8 e,8,9 e,9,10 e,11,12 e,12,13 e,13,14 e,14,140 e,140,15 e,15,16 e,17,18 e,18,20 e,20,21 e,21,22 e,22,23 e,24,25 e,25,26 e,26,27


2547

NRC Piping Benchmarks Input Listings e,27,28 e,28,29 e,29,290 e,290,31 e,31,32 e,34,35 e,36,37 e,37,38 e,38,39 e,39,40 e,40,41 e,41,43 e,44,45 e,45,46 e,46,47 e,47,48 e,48,49 e,49,51 e,52,53 e,55,56 e,56,57 e,57,58 e,58,59 /com, /com, Pipe Bend Elements /com,******************** type,2 real,2 e,4,601,3 e,601,602,603 e,602,603,5 e,603,5,6 e,10,11,9 e,16,17,15 e,23,24,25 e,43,44,45 type,3 real,3 e,32,34,35 e,35,36,37 e,51,52,53 e,53,55,56 /com, /com, Spring Elements /com,***************** type,4 real,4 e,49,65 type,6 real,6 e,5,68 e,8,69 e,14,70 e,20,71 e,25,72 e,290,73 e,37,74 e,410,75 type,5 real,5

2548


vm-nr1677-2-3c-a Input Listing n1 = 55 n2 = 66 n3 = 56 ics = 11 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 41 n2 = 67 n3 = 40 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 /com, /com, Snubber Elements /com,****************** n1 = 13 n2 = 120 n3 = 59 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 140 n2 = 61 n3 = 15 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 18 n2 = 62 n3 = 17 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 29 n2 = 63 n3 = 28 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1


2549

NRC Piping Benchmarks Input Listings nrotat,n2 csys,0 e,n1,n2 n1 = 32 n2 = 310 n3 = 34 !n3 = 59 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 /com, /com, 3D Support at both ends /com,************************* type,5 real,5 e,1,101 e,59,591 type,6 real,6 e,1,102 e,59,592 type,7 real,7 e,1,103 e,59,593 type,8 real,8 e,1,101 e,59,591 type,9 real,9 e,1,102 e,59,592 type,10 real,10 e,1,103 e,59,593 /com,-----------------------------------------------------------------------------------/com, /com, Model Rigid Region /com,******************** cerig,41,410,uy /com,-----------------------------------------------------------------------------------/com, /com, Constraints /com,************* nsel,s,node,,61,63 nsel,a,node,,65,75 nsel,a,node,,101,103 nsel,a,node,,120 nsel,a,node,,310 nsel,a,node,,591,593 d,all,all,0

2550



nsel,all /com,-----------------------------------------------------------------------------------/com, /com, Loads /com,******* /com, Temperature Input /com,******************* bf,all,temp,Temperature eplo esel,r,type,,1 esel,a,type,,2 esel,a,type,,3 /com, Pressure Input /com,**************** sfe,all,1,pres,,Pressue,,, allsel,all,all save finish /com,-----------------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal modopt,lanb,maxm lump,on mxpand,maxm,,,yes solve

/com, /com,=========================== /com, Compare Modal Frequencies /com,=========================== /com, *dim,Amode,ARRAY,maxm *dim,Emode,ARRAY,maxm *dim,ERmode,ARRAY,maxm *dim,moden,ARRAY,maxm *do,i,1,maxm *GET, Amode(i), MODE, i, FREQ *enddo *VFILL,Emode,DATA,7.238,10.145,14.579,15.991,17.198,17.987,22.282,23.632,27.864,29.211 *VFILL,Emode(11),DATA,29.514,31.554,34.018,34.778,35.122 *do,i,1,maxm ERmode(i) = ABS(Amode(i)/Emode(i)) moden(i) = i *enddo save,table_1 finish /com,------------------------------------------------------------------------------------


2551

NRC Piping Benchmarks Input Listings /com, /com,================ /com, Spectrum Solve /com,================ /com, /solution sfedele,all,1,pres,,, bfdele,all,temp,,, antype,spectrum spopt,mprs,maxm


srss,,, gval = 386.4 /com,-----------------------------------------------------------------------------------/com, /com, /com, Spectrum 1 (Group 1 - X - Direction Excitation) /com,************************************************* id = 1 spunit, id,accg, gval spfrq,id, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,id,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,id, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6949,1.7825 spval,id,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,id, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,id,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,id, 3.2362,3.3898,3.4965,3.5714,3.6101,3.663,3.7313 spval,id,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,id, 3.8168,3.8911,3.9216,4.218,4.6948,4.7847,5.0505 spval,id,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,id, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,id,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,id, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,id,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,id, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,id,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,id, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,id,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,id, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,id,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,id, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,id,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,id, 1000.0 spval,id,, 0.771

/com, /com, Spectrum 2 (Group 1 - Y - Direction Excitation) /com,************************************************* id = 2 spunit, id,accg, gval spfrq,id, 0.5,1.4993,1.6207,1.9011,2.0704,3.8023,4.2553 spval,id,, 0.35,1.45,1.8,1.8,2.61,2.61,2.78

2552



spfrq,id, 5.1813,5.4054,7.8125,8.1301,9.901,11.5207,14.1044 spval,id,, 2.78,2.58,2.58,3.25,3.25,3.62,3.62 spfrq,id, 14.4928,17.6991,23.9981,59.988 spval,id,, 3.05,3.05,1.20,0.75 /com, /com, Spectrum 3 (Group 1 - Z - Direction Excitation) /com,************************************************* id = 3 spunit, id,accg, gval spfrq,id, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,id,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,id, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6949,1.7825 spval,id,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,id, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,id,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,id, 3.2362,3.3898,3.4965,3.5714,3.6101,3.663,3.7313 spval,id,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,id, 3.8168,3.8911,3.9216,4.218,4.6948,4.7847,5.0505 spval,id,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,id, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,id,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,id, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,id,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,id, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,id,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,id, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,id,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,id, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,id,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,id, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,id,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,id, 1000.0 spval,id,, 0.771 /com,-----------------------------------------------------------------------------------/com, /com, /com, Spectrum 4 (Group 2 - X - Direction Excitation) /com,************************************************* id = 4 spunit, id,accg, gval spfrq,id, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,id,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,id, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6949,1.7825 spval,id,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,id, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,id,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,id, 3.2362,3.3898,3.4965,3.5714,3.6101,3.663,3.7313 spval,id,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189


2553

NRC Piping Benchmarks Input Listings spfrq,id, 3.8168,3.8911,3.9216,4.218,4.6948,4.7847,5.0505 spval,id,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,id, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,id,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,id, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,id,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,id, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,id,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,id, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,id,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,id, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,id,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,id, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,id,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,id, 1000.0 spval,id,, 0.771 /com, /com, Spectrum 5 (Group 2 - Y - Direction Excitation) /com,************************************************* id = 5 spunit, id,accg, gval spfrq,id, 0.50,1.4556,1.9011,2.0704,2.907,4.065,4.9603 spval,id,, 1.45,1.8,1.8,2.68,2.68,3.17,3.17 spfrq,id, 5.0,7.5988,8.5034,10.9051,11.5207,14.0845,16.0 spval,id,, 3.03,3.03,4.82,4.82,5.95,5.95,4.49 spfrq,id, 19.1205,21.0084,50.0 spval,id,, 4.49,1.85,1.05 /com, /com, Spectrum 6 (Group 2 - Z - Direction Excitation) /com,************************************************* id = 6 spunit, id,accg, gval spfrq,id, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,id,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,id, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6949,1.7825 spval,id,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,id, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,id,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,id, 3.2362,3.3898,3.4965,3.5714,3.6101,3.663,3.7313 spval,id,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,id, 3.8168,3.8911,3.9216,4.218,4.6948,4.7847,5.0505 spval,id,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,id, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,id,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,id, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,id,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,id, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,id,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,id, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857

2554


vm-nr1677-2-3c-a Input Listing spval,id,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,id, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,id,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,id, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,id,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,id, 1000.0 spval,id,, 0.771 /com,-----------------------------------------------------------------------------------/com, /com, /com, Spectrum 7 (Group 3 - X - Direction Excitation) /com,************************************************* id = 7 spunit, id,accg, gval spfrq,id, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,id,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,id, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6949,1.7825 spval,id,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,id, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,id,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,id, 3.2362,3.3898,3.4965,3.5714,3.6101,3.663,3.7313 spval,id,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,id, 3.8168,3.8911,3.9216,4.218,4.6948,4.7847,5.0505 spval,id,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,id, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,id,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,id, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,id,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,id, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,id,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,id, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,id,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,id, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,id,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,id, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,id,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,id, 1000.0 spval,id,, 0.771 /com, /com, Spectrum 8 (Group 3 - Y - Direction Excitation) /com,************************************************* id = 8 spunit, id,accg, gval spfrq,id, 0.5,1.9011,2.0704,3.003,4.0486,4.9505,7.1942 spval,id,, 0.4,1.88,2.72,2.72,3.42,3.42,3.82 spfrq,id, 8.1301,9.5238,10.352,12.6422,13.5135,15.4083,15.7978 spval,id,, 7.21,7.21,8.18,8.18,6.39,6.39,5.92 spfrq,id, 17.6991,21.0084,50.0 spval,id,, 5.92,2.25,1.55


2555


/com, /com, Spectrum 9 (Group 3 - Z - Direction Excitation) /com,************************************************* id = 9 spunit, id,accg, gval spfrq,id, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,id,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,id, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6949,1.7825 spval,id,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,id, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,id,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,id, 3.2362,3.3898,3.4965,3.5714,3.6101,3.663,3.7313 spval,id,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,id, 3.8168,3.8911,3.9216,4.218,4.6948,4.7847,5.0505 spval,id,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,id, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,id,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,id, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,id,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,id, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,id,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,id, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,id,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,id, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,id,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,id, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,id,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,id, 1000.0 spval,id,, 0.771 /com,-----------------------------------------------------------------------------------/com, /com, /com, Spectrum 10 (Group 4 - X - Direction Excitation) /com,************************************************** id = 10 spunit, id,accg, gval spfrq,id, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,id,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,id, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6949,1.7825 spval,id,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,id, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,id,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,id, 3.2362,3.3898,3.4965,3.5714,3.6101,3.663,3.7313 spval,id,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,id, 3.8168,3.8911,3.9216,4.218,4.6948,4.7847,5.0505 spval,id,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,id, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,id,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667

2556


vm-nr1677-2-3c-a Input Listing spfrq,id, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,id,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,id, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,id,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,id, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,id,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,id, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,id,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,id, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,id,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,id, 1000.0 spval,id,, 0.771 /com, /com, Spectrum 11 (Group 4 - Y - Direction Excitation) /com,************************************************** id = 11 spunit, id,accg, gval spfrq,id, 0.5,1.3004,2.0,3.003,4.0486,4.9505,6.993 spval,id,, 0.5,1.4,2.75,2.75,3.5,3.5,4.5 spfrq,id, 8.1301,10.4167,11.4943,14.845,17.5439,22.2222,50.0 spval,id,, 12.1,12.1,10.7,10.7,2.7,1.8,1.5 /com, /com, Spectrum 12 (Group 4 - Z - Direction Excitation) /com,************************************************** id = 12 spunit, id,accg, gval spfrq,id, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,id,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,id, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6949,1.7825 spval,id,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,id, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,id,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,id, 3.2362,3.3898,3.4965,3.5714,3.6101,3.663,3.7313 spval,id,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,id, 3.8168,3.8911,3.9216,4.218,4.6948,4.7847,5.0505 spval,id,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,id, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,id,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,id, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,id,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,id, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,id,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,id, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,id,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,id, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,id,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,id, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,id,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,id, 1000.0


2557

NRC Piping Benchmarks Input Listings spval,id,, 0.771 /com,-----------------------------------------------------------------------------------/com, /com, /com, Nodal Components for Excitation Points (non rotated) /com,****************************************************** allsel,all nsel,s,node,,68 nsel,a,node,,61 nsel,a,node,,71 nsel,a,node,,63 nsel,a,node,,73 nsel,a,node,,310 nsel,a,node,,591,593 nplo cm,group_1,node allsel,all,all nsel,s,node,,70 nsel,a,node,,120 nsel,a,node,,62 nsel,a,node,,67 nsel,a,node,,75 nsel,a,node,,65 nplo cm,group_2,node allsel,all,all nsel,s,node,,69 nsel,a,node,,72 nsel,a,node,,74 nplo cm,group_3,node allsel,all,all nsel,s,node,,101,103 nsel,a,node,,66 nplo cm,group_4,node allsel,all,all eplo

/com, ***************************************************** ! -- Support Group 1 - spectrum 1 (Along X - Direction) sed,1,,,group_1 pfact,1 sed,0,,,group_1 ! -- Support Group 1 - spectrum 2 (Along Y - Direction) sed,,1,,group_1 pfact,2 sed,,0,,group_1 ! -- Support Group 1 - spectrum 3 (Along Z - Direction) sed,,,1,group_1 pfact,3 sed,,,0,group_1 ! -- Support Group 2 - spectrum 4 (Along X - Direction) sed,1,,,group_2 pfact,4 sed,0,,,group_2

2558



! -- Support Group 2 - spectrum 5 (Along Y - Direction) sed,,1,,group_2 pfact,5 sed,,0,,group_2 ! -- Support Group 2 - spectrum 6 (Along Z - Direction) sed,,,1,group_2 pfact,6 sed,,,0,group_2

! -- Support Group 3 - spectrum 8 (Along Y - Direction) sed,,1,,group_3 pfact,8 sed,,0,,group_3

! -- Support Group 4 - spectrum 10 (Along X - Direction) sed,1,,,group_4 pfact,10 sed,0,,,group_4 ! -- Support Group 4 - spectrum 11 (Along Y - Direction) sed,,1,,group_4 pfact,11 sed,,0,,group_4 ! -- Support Group 4 - spectrum 12 (Along Z - Direction) sed,,,1,group_4 pfact,12 sed,,,0,group_4 /com, ***************************************************** srss,0,,YES solve

! activate Absolute Sum for MPRS

fini /com, ***************************************************** /post1 /input,,mcom /com,----------------------------------/com, *Labels* *dim,label2,char,1,6 *dim,label3,char,6,1 *dim,label4,char,6,1 *dim,label5,char,22,1 /com,------------------------label2(1,1) label2(1,2) label2(1,3) label2(1,4) label2(1,5) label2(1,6)


/com,----------------------label3(1,1)='PX(I)' label3(2,1)='VY(I)' label3(3,1)='VZ(I)' label3(4,1)='TX(I)'


2559

NRC Piping Benchmarks Input Listings label3(5,1)='MY(I)' label3(6,1)='MZ(I)' /com,----------------------label4(1,1)='PX(J)' label4(2,1)='VY(J)' label4(3,1)='VZ(J)' label4(4,1)='TX(J)' label4(5,1)='MY(J)' label4(6,1)='MZ(J)' /com,----------------------------------/com,-----------------------------------------------------------------------------------/com, /com,======================================================== /com, Maximum nodal displacements and rotations comparsion /com,======================================================== /com, /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,36,U,X *GET,AdisY,NODE,51,U,Y *GET,AdisZ,NODE,36,U,Z *GET,ArotX,NODE,12,ROT,X *GET,ArotY,NODE,12,ROT,Y *GET,ArotZ,NODE,35,ROT,Z /com, /com, Expected results from NRC manual /com, ********************************* *SET,EdisX,8.27192e-01 *SET,EdisY,5.47549e-01 *SET,EdisZ,7.61900e-01 *SET,ErotX,1.87354e-03 *SET,ErotY,2.46820e-04 *SET,ErotZ,1.02513e-02 /com, /com, Error computation /com,******************** ERdisX=ABS(AdisX/EdisX) ERdisY=ABS(AdisY/EdisY) ERdisZ=ABS(AdisZ/EdisZ) ERrotX=ABS((ArotX)/(ErotX)) ERrotY=ABS((ArotY)/(ErotY)) ERrotZ=ABS((ArotZ)/(ErotZ)) *dim,value,,6,3 *vfill,value(1,1),data,EdisX *vfill,value(1,2),data,AdisX *vfill,value(1,3),data,ERdisX *vfill,value(2,1),data,EdisY *vfill,value(2,2),data,AdisY *vfill,value(2,3),data,ERdisY *vfill,value(3,1),data,EdisZ *vfill,value(3,2),data,AdisZ *vfill,value(3,3),data,ERdisZ *vfill,value(4,1),data,ErotX *vfill,value(4,2),data,ArotX *vfill,value(4,3),data,ERrotX

2560


vm-nr1677-2-3c-a Input Listing *vfill,value(5,1),data,ErotY *vfill,value(5,2),data,ArotY *vfill,value(5,3),data,ERrotY *vfill,value(6,1),data,ErotZ *vfill,value(6,2),data,ArotZ *vfill,value(6,3),data,ERrotZ save,table_2 /com,-----------------------------------------------------------------------------------/com,======================================================== /com, Element Forces and Moments Comparison /com,======================================================== /com, Solution obtained from Mechanical APDL /com,****************************** *dim,elem_res_I,,3,6 *dim,elem_res_J,,3,6 *dim,pxi,,3 *dim,vyi,,3 *dim,vzi,,3 *dim,txi,,3 *dim,myi,,3 *dim,mzi,,3 *dim,pxj,,3 *dim,vyj,,3 *dim,vzj,,3 *dim,txj,,3 *dim,myj,,3 *dim,mzj,,3 esel,s,ename,,16 esel,a,ename,,18 /com,========== /com, Node I /com,========== /com, Element #1 /com,*********** *get,pxi(1,1),elem,1,smisc,1 *get,vyi(1,1),elem,1,smisc,2 *get,vzi(1,1),elem,1,smisc,3 *get,txi(1,1),elem,1,smisc,4 *get,myi(1,1),elem,1,smisc,5 *get,mzi(1,1),elem,1,smisc,6 *vfill,elem_res_I(1,1),data,pxi(1,1) *vfill,elem_res_I(1,2),data,vyi(1,1) *vfill,elem_res_I(1,3),data,vzi(1,1) *vfill,elem_res_I(1,4),data,txi(1,1) *vfill,elem_res_I(1,5),data,myi(1,1) *vfill,elem_res_I(1,6),data,mzi(1,1) /com, Element #17 /com,************* *get,pxi(2,1),elem,17,smisc,1 *get,vyi(2,1),elem,17,smisc,2 *get,vzi(2,1),elem,17,smisc,3 *get,txi(2,1),elem,17,smisc,4 *get,myi(2,1),elem,17,smisc,5 *get,mzi(2,1),elem,17,smisc,6 *vfill,elem_res_I(2,1),data,pxi(2,1) *vfill,elem_res_I(2,2),data,vyi(2,1)


2561

NRC Piping Benchmarks Input Listings *vfill,elem_res_I(2,3),data,vzi(2,1) *vfill,elem_res_I(2,4),data,txi(2,1) *vfill,elem_res_I(2,5),data,myi(2,1) *vfill,elem_res_I(2,6),data,mzi(2,1) /com, Element #50 /com,************* *get,pxi(3,1),elem,50,smisc,1 *get,vyi(3,1),elem,50,smisc,2 *get,vzi(3,1),elem,50,smisc,3 *get,txi(3,1),elem,50,smisc,4 *get,myi(3,1),elem,50,smisc,5 *get,mzi(3,1),elem,50,smisc,6 *vfill,elem_res_I(3,1),data,pxi(3,1) *vfill,elem_res_I(3,2),data,vyi(3,1) *vfill,elem_res_I(3,3),data,vzi(3,1) *vfill,elem_res_I(3,4),data,txi(3,1) *vfill,elem_res_I(3,5),data,myi(3,1) *vfill,elem_res_I(3,6),data,mzi(3,1)

/com,========== /com, Node J /com,========== /com, Element #1 /com,************ *get,pxj(1,1),elem,1,smisc,7 *get,vyj(1,1),elem,1,smisc,8 *get,vzj(1,1),elem,1,smisc,9 *get,txj(1,1),elem,1,smisc,10 *get,myj(1,1),elem,1,smisc,11 *get,mzj(1,1),elem,1,smisc,12 *vfill,elem_res_J(1,1),data,pxj(1,1) *vfill,elem_res_J(1,2),data,vyj(1,1) *vfill,elem_res_J(1,3),data,vzj(1,1) *vfill,elem_res_J(1,4),data,txj(1,1) *vfill,elem_res_J(1,5),data,myj(1,1) *vfill,elem_res_J(1,6),data,mzj(1,1) /com, Element #17 /com,************* *get,pxj(2,1),elem,17,smisc,7 *get,vyj(2,1),elem,17,smisc,8 *get,vzj(2,1),elem,17,smisc,9 *get,txj(2,1),elem,17,smisc,10 *get,myj(2,1),elem,17,smisc,11 *get,mzj(2,1),elem,17,smisc,12 *vfill,elem_res_J(2,1),data,pxj(2,1) *vfill,elem_res_J(2,2),data,vyj(2,1) *vfill,elem_res_J(2,3),data,vzj(2,1) *vfill,elem_res_J(2,4),data,txj(2,1) *vfill,elem_res_J(2,5),data,myj(2,1) *vfill,elem_res_J(2,6),data,mzj(2,1) /com, Element #50 /com,************* *get,pxj(3,1),elem,50,smisc,7 *get,vyj(3,1),elem,50,smisc,8 *get,vzj(3,1),elem,50,smisc,9 *get,txj(3,1),elem,50,smisc,10 *get,myj(3,1),elem,50,smisc,11 *get,mzj(3,1),elem,50,smisc,12 *vfill,elem_res_J(3,1),data,pxj(3,1)

2562


vm-nr1677-2-3c-a Input Listing *vfill,elem_res_J(3,2),data,vyj(3,1) *vfill,elem_res_J(3,3),data,vzj(3,1) *vfill,elem_res_J(3,4),data,txj(3,1) *vfill,elem_res_J(3,5),data,myj(3,1) *vfill,elem_res_J(3,6),data,mzj(3,1) /com,---------------------------------------------------------------------------/com, Results from NRC benchmarks /com, *************************** *dim,exp_I,,3,6 *dim,exp_J,,3,6 /com, Element #1 /com,************ *vfill,exp_I(1,1),data,5.223e+03 *vfill,exp_I(1,2),data,1.679e+02 *vfill,exp_I(1,3),data,1.753e+03 *vfill,exp_I(1,4),data,2.559e+04 *vfill,exp_I(1,5),data,1.221e+05 *vfill,exp_I(1,6),data,7.826e+03 *vfill,exp_J(1,1),data,5.223e+03 *vfill,exp_J(1,2),data,1.679e+02 *vfill,exp_J(1,3),data,1.753e+03 *vfill,exp_J(1,4),data,2.559e+04 *vfill,exp_J(1,5),data,4.988e+04 *vfill,exp_J(1,6),data,1.213e+03 /com, Element #17 /com,************* *vfill,exp_I(2,1),data,4.944e+03 *vfill,exp_I(2,2),data,1.380e+03 *vfill,exp_I(2,3),data,7.416e+02 *vfill,exp_I(2,4),data,3.846e+04 *vfill,exp_I(2,5),data,1.520e+04 *vfill,exp_I(2,6),data,6.374e+04 *vfill,exp_J(2,1),data,4.944e+03 *vfill,exp_J(2,2),data,1.380e+03 *vfill,exp_J(2,3),data,7.416e+02 *vfill,exp_J(2,4),data,3.846e+04 *vfill,exp_J(2,5),data,4.084e+04 *vfill,exp_j(2,6),data,6.762e+04 /com, Element #50 /com,************* *vfill,exp_I(3,1),data,4.365e+03 *vfill,exp_I(3,2),data,1.042e+03 *vfill,exp_I(3,3),data,1.942e+03 *vfill,exp_I(3,4),data,2.574e+04 *vfill,exp_I(3,5),data,4.522e+04 *vfill,exp_I(3,6),data,2.797e+04 *vfill,exp_J(3,1),data,4.738e+03 *vfill,exp_J(3,2),data,1.042e+03 *vfill,exp_J(3,3),data,6.159e+02 *vfill,exp_J(3,4),data,3.421e+04 *vfill,exp_J(3,5),data,6.163e+04 *vfill,exp_J(3,6),data,3.715e+04 /com,--------------------------------------------------------------------------/com, Error computation /com, ********************* *dim,elem_error_I,,3,6 *dim,elem_error_J,,3,6


2563

NRC Piping Benchmarks Input Listings *dim,elem_tab,,36,3 /com,============ /com, Node I /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_I(i,j),data,abs(elem_res_I(i,j)/exp_I(i,j)) *enddo *enddo /com,============ /com, Node J /com,============ *do,i,1,3 *do,j,1,6 *vfill,elem_error_J(i,j),data,abs(elem_res_J(i,j)/exp_J(i,j)) *enddo *enddo /com,-------------------------------------------------------------------------*do,i,1,3 cs=(i-1)*6 *do,j,1,6 n=cs+j *vfill,elem_tab(n,1),data,exp_I(i,j) *vfill,elem_tab(n,2),data,elem_res_I(i,j) *vfill,elem_tab(n,3),data,elem_error_I(i,j) *enddo *do,j,1,6 m=cs+j+18 *vfill,elem_tab(m,1),data,exp_J(i,j) *vfill,elem_tab(m,2),data,elem_res_J(i,j) *vfill,elem_tab(m,3),data,elem_error_J(i,j) *enddo *enddo save,table_3 /com,-----------------------------------------------------------------------------------/com,***************************** /com, Reaction forces comparision /com,****************************** *dim,Areac,,22 *dim,Ereac,,22 *dim,ERreac,,22 *dim,Nreac,STRING,8,22 Nreac(1,1) Nreac(1,2) Nreac(1,3) Nreac(1,4) Nreac(1,5)

= = = = =

'FY49' 'FX55' 'FX41' 'FY41' 'FY5'

Nreac(1,6) = 'FY8' Nreac(1,7) = 'FY14' Nreac(1,8) = 'FY20' Nreac(1,9) = 'FY25' Nreac(1,10) = 'FY290' Nreac(1,11) Nreac(1,12) Nreac(1,13) Nreac(1,14) Nreac(1,15)

2564

= = = = =

'FY37' 'FX1' 'FY1' 'FZ1' 'FX59'


vm-nr1677-2-3c-a Input Listing Nreac(1,16) = 'FY59' Nreac(1,17) = 'FZ59' Nreac(1,18) Nreac(1,19) Nreac(1,20) Nreac(1,21) Nreac(1,22)

= = = = =

'FX13' 'FX140' 'FX18' 'FX29' 'FX32'

*GET,Areac(1),NODE,65,RF,FY *GET,Areac(2),NODE,66,RF,FX *GET,Areac(3),NODE,67,RF,FX *GET,Areac(4),NODE,75,RF,FY *GET,Areac(5),NODE,68,RF,FY *GET,Areac(6),NODE,69,RF,FY *GET,Areac(7),NODE,70,RF,FY *GET,Areac(8),NODE,71,RF,FY *GET,Areac(9),NODE,72,RF,FY *GET,Areac(10),NODE,73,RF,FY *GET,Areac(11),NODE,74,RF,FY *GET,Areac(12),NODE,101,RF,FX *GET,Areac(13),NODE,102,RF,FY *GET,Areac(14),NODE,103,RF,FZ *GET,Areac(15),NODE,591,RF,FX *GET,Areac(16),NODE,592,RF,FY *GET,Areac(17),NODE,593,RF,FZ *GET,Areac(18),NODE,120,RF,FX *GET,Areac(19),NODE,61,RF,FX *GET,Areac(20),NODE,62,RF,FX *GET,Areac(21),NODE,63,RF,FX *GET,Areac(22),NODE,310,RF,FX

*VFILL,Ereac,DATA,5,9479,4250,4011,832,1828,1689,2149,2467,4062 *VFILL,Ereac(11),DATA,2537,4353,168,3376,3937,6819,1069,6866,1276,492.544 *VFILL,Ereac(21),DATA,6332.01,8415.285 *do,i,1,22 ERreac(i) = abs(Areac(i)/Ereac(i)) *enddo save,table_4 /com,-----------------------------------------------------------------------------------/com, /out, /com, /com, ----------------------vm-nr1677-2-3c-a Results Verification-----------------------------/com,

/nopr resume,table_1 /gopr /out,vm-nr1677-2-3c-a,vrt

/com, /com, =========================================== /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, =========================================== /com, /com, Mode | Expected | Mechanical APDL |

Ratio


2565

NRC Piping Benchmarks Input Listings /com, *VWRITE,moden(1),Emode(1),Amode(1),ERmode(1) (1X,F3.0,2X,F8.4,3X,F8.4,3X,F4.2,' ') /com, /com,-----------------------------------------------------------------------------------/nopr resume,table_2 /gopr /com, /com,==================================================== /com, COMPARISON OF NODAL DISPLACEMENTS AND ROTATIONS /com, WITH EXPECTED RESULTS /com,==================================================== /com, /com, /com,


Ratio


Node | Expected |

Mechanical APDL

|

Ratio

*VWRITE,Nreac(1),Ereac(1),Areac(1),ERreac(1) (5X,a,2X,F12.4,3X,F12.4,3X,F8.2,' ') /com, /com,-------------------------------------------------------------------------/com, /nopr resume,table_3 /gopr /com, /com,=============================================== /com, COMPARISON OF ELEMENT FORCES AND MOMENTS /com, WITH EXPECTED RESULTS /com,===============================================

2566


vm-nr1677-2-3c-a Input Listing /com, /com,---------------------------------------------------------/com, Note: Element Forces and Moments for some elements /com, along Y & Z directions are flipped between Mechanical APDL /com, and NRC results /com, /com, Element numbers from Mechanical APDL and NRC are /com, different. /com, Element 1 (Mechanical APDL) = Element 1 (NRC) /com, Element 17 (Mechanical APDL) = Element 17 (NRC) /com, Element 50 (Mechanical APDL) = Element 48 (NRC) /com,-------------------------------------------------------/com, /com,


Ratio

/com,=============== /com, Element 1 /com,=============== /com, *vwrite,label3(1,1),elem_tab(1,1),elem_tab(1,2),elem_tab(1,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(19,1),elem_tab(19,2),elem_tab(19,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, /com, /com,=============== /com, Element 17 /com,=============== /com, *vwrite,label3(1,1),elem_tab(7,1),elem_tab(7,2),elem_tab(7,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(25,1),elem_tab(25,2),elem_tab(25,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, /com, /com,=============== /com, Element 50 /com,=============== /com, *vwrite,label3(1,1),elem_tab(13,1),elem_tab(13,2),elem_tab(13,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(31,1),elem_tab(31,2),elem_tab(31,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, /com, /com,******************************************************************* /com,******************************************************************* /com, /com, /out, *list,vm-nr1677-2-3c-a,vrt


2567

NRC Piping Benchmarks Input Listings finish

vm-nr1677-2-4a-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-2-4a-a /title,vm-nr1677-2-4a-a,NRC piping benchmarks problems,Volume II,Problem 4a /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com,


Element used: Pipe16, Pipe18, Combin14 and Mass21 Results comparsion: The following results are compared against NRC piping benchmark values 1. Frequencies obtained from modal solution. 2. Maximum nodal displacements and rotations obtained from spectrum solution. 3. Element forces/moments obtained from spectrum solution. 4. Reaction forces obtained from spectrum solution. *******************************************************************************

/out,scratch /prep7 YoungModulus = 0.283e+8 ! Young's Modulus Nu = 0.3 ! Minor Poisson's Ratio ShearModulus = YoungModulus/(2*(1+Nu)) ! Shear Modulus K = 0.911e-5 ! Thermal Expansion maxm = 50 ! No. of Modes Extracted /com, /com, Section Property /com,****************** /com, /com, Wall Thickness /com,---------------WTick_1 WTick_2 WTick_3 WTick_4 WTick_5

= = = = =

2.25 3.44 1.0 2.64 74.775

WTick_6 = 1.0 WTick_7 = 2.64 WTick_8 = 0.7180 WTick_9 = 1.62 WTick_10 = 46.035 WTick_11 = 0.7180 WTick_12 = 0.906 WTick_13 = 0.365 /com, /com, Outer Diameter /com,---------------OD_1 OD_2 OD_3 OD_4 OD_5

2568

= = = = =

32.25 15.625 10.75 16.03 160.3



OD_6 = 10.75 OD_7 = 16.03 OD_8 = 6.625 OD_9 = 9.87 OD_10 = 98.7 OD_11 = 6.625 OD_12 = 8.625 OD_13 = 10.75 /com, /com, Bend Radius /com,-------------RADCUR_1 RADCUR_2 RADCUR_3 RADCUR_4 RADCUR_5 RADCUR_6

= = = = = =

15.0 14.9 9.0 12.0 40.0 8.0

/com,----------------------------------------------------------------------------------/com, /com, Element Types /com,*************** et,1,pipe16 et,2,pipe16 et,3,pipe16 et,4,pipe16 et,5,pipe16 et,6,pipe16 et,7,pipe16 et,8,pipe16 et,9,pipe16 et,10,pipe16 et,11,pipe16 et,12,pipe16 et,13,pipe16 et,14,pipe18 et,15,pipe18 et,16,pipe18 et,17,pipe18 et,18,pipe18 et,19,pipe18 et,20,pipe18 et,21,pipe18 et,22,pipe18 et,23,mass21 keyopt,23,3,2 et,24,mass21 keyopt,24,3,2 et,25,mass21 keyopt,25,3,2 et,26,mass21 keyopt,26,3,2 et,27,mass21 keyopt,27,3,2 et,28,mass21 keyopt,28,3,2 et,29,mass21 keyopt,29,3,2 et,30,mass21 keyopt,30,3,2 et,31,mass21 keyopt,31,3,2 et,32,mass21 keyopt,32,3,2

! 3D Mass without rotatary inertia


2569

NRC Piping Benchmarks Input Listings et,33,mass21 keyopt,33,3,2 et,34,mass21 keyopt,34,3,2 et,35,mass21 keyopt,35,3,2 et,36,mass21 keyopt,36,3,2 et,37,mass21 keyopt,37,3,2 et,38,mass21 keyopt,38,3,2 et,39,mass21 keyopt,39,3,2 et,40,mass21 keyopt,40,3,2 et,41,mass21 keyopt,41,3,2 et,42,mass21 keyopt,42,3,2 et,43,mass21 keyopt,43,3,2 et,44,mass21 keyopt,44,3,2 et,45,mass21 keyopt,45,3,2 et,46,mass21 keyopt,46,3,2 et,47,mass21 keyopt,47,3,2 et,48,combin14,,1 keyopt,48,2,1 et,49,combin14,,2 keyopt,49,2,2 et,50,combin14,,3 keyopt,50,2,3 et,51,combin14,,2 keyopt,51,2,2 et,52,combin14,,2 keyopt,52,2,2 et,53,combin14,,3 keyopt,53,2,3 et,54,combin14,,1 keyopt,54,2,1 et,55,combin14,,2 keyopt,55,2,2 et,56,combin14,,1 keyopt,56,2,1 et,57,combin14,,1 keyopt,57,2,1 et,58,combin14,,2 keyopt,58,2,2 et,59,combin14,,1 keyopt,59,2,1 et,60,combin14,,2 keyopt,60,2,2 et,61,combin14,,1 keyopt,61,2,1 et,62,combin14,,2 keyopt,62,2,2 et,63,combin14,,2 keyopt,63,2,2 et,64,combin14,,1 keyopt,64,2,1 et,65,combin14,,2 keyopt,65,2,2 et,66,combin14,,3 keyopt,66,2,3 et,67,combin14,,2 keyopt,67,2,2 et,68,combin14,,1

2570

! Spring Elements Types and Real constants ! X Degree of Freedom ! Y Degree of Freedom ! Z Degree of Freedom ! Y Degree of Freedom ! Y Degree of Freedom ! Z Degree of Freedom ! X Degree of Freedom ! Y Degree of Freedom ! X Degree of Freedom ! X Degree of Freedom ! Y Degree of Freedom ! X Degree of Freedom ! Y Degree of Freedom ! X Degree of Freedom ! Y Degree of Freedom ! Y Degree of Freedom ! X Degree of Freedom ! Y Degree of Freedom ! Z Degree of Freedom ! Y Degree of Freedom


vm-nr1677-2-4a-a Input Listing keyopt,68,2,1 et,69,combin14,,1 keyopt,69,2,1 et,70,combin14,,2 keyopt,70,2,2 et,71,combin14,,1 keyopt,71,2,1 et,72,combin14,,2 keyopt,72,2,2 et,73,combin14,,1 keyopt,73,2,1 et,74,combin14,,1 keyopt,74,2,1 et,75,combin14,,3 keyopt,75,2,3 et,76,combin14,,2 keyopt,76,2,2 et,77,combin14,,2 keyopt,77,2,2 et,78,combin14,,1 keyopt,78,2,1 et,79,combin14,,2 keyopt,79,2,2 et,80,combin14,,2 keyopt,80,2,2 et,81,combin14,,1 keyopt,81,2,1 et,82,combin14,,2 keyopt,82,2,2 et,83,combin14,,3 keyopt,83,2,3

! X Degree of Freedom ! X Degree of Freedom ! Y Degree of Freedom ! X Degree of Freedom ! Y Degree of Freedom ! X Degree of Freedom ! X Degree of Freedom ! Z Degree of Freedom ! Y Degree of Freedom ! Y Degree of Freedom ! X Degree of Freedom ! Y Degree of Freedom ! Y Degree of Freedom ! X Degree of Freedom ! Y Degree of Freedom ! Z Degree of Freedom

/com,---------------------------------------------------------------------------------/com /com, Real Constants /com,**************** r, r, r, r, r, r, r, r, r, r, r, r, r,

1,OD_1,WTick_1 2,OD_2,WTick_2 3,OD_3,WTick_3 4,OD_4,WTick_4 5, OD_5,WTick_5 6, OD_6,WTick_6 7, OD_7,WTick_7 8, OD_8,WTick_8 9, OD_9,WTick_9 10, OD_10,WTick_10 11, OD_11,WTick_11 12, OD_12,WTick_12 13, OD_13,WTick_13

r, r, r, r, r, r, r, r, r,

14, 15, 16, 17, 18, 19, 20, 21, 22,

OD_3, WTick_3,RADCUR_1 OD_6, WTick_6,RADCUR_1 OD_6, WTick_6,RADCUR_2 OD_13, WTick_13,RADCUR_1 OD_13, WTick_13,RADCUR_2 OD_8, WTick_8,RADCUR_3 OD_12, WTick_12,RADCUR_4 OD_12, WTick_12,RADCUR_5 OD_12, WTick_12,RADCUR_6

r,23,1.69306 r,24,5.07505 r,25,4.96894 r,26,1.20212 r,27,1.42495 r,28,1.88768 r,29,2.18323 r,30,2.4397 r,31,2.98188 r,32,1.41874


2571

NRC Piping Benchmarks Input Listings r,33,1.04943e+1 r,34,9.30124e-1 r,35,1.6118 r,36,6.74431e-1 r,37,6.43116e-1 r,38,1.06962 r,39,1.20549 r,40,1.05642 r,41,1.25388 r,42,1.3543 r,43,6.66149e-1 r,44,2.27769 r,45,1.15217 r,46,1.23214 r,47,1.52976 r,48, r,49, r,50, r,51, r,52, r,53, r,54, r,55, r,56, r,57, r,58, r,59, r,60, r,61, r,62, r,63, r,64, r,65, r,66, r,67, r,68, r,69, r,70, r,71, r,72, r,73, r,74, r,75, r,76, r,77, r,78, r,79, r,80, r,81, r,82, r,83,

0.1e+9 0.1e+9 0.1e+9 0.1080e+4 0.6001e+5 0.6001e+5 0.6001e+5 0.7541e+6 0.7541e+6 0.6001e+5 0.6000e+3 0.6001e+5 0.7601e+5 0.6001e+5 0.8000e+3 0.6001e+5 0.1000e+9 0.1000e+9 0.1000e+9 0.2600e+3 0.5901e+5 0.2400e+5 0.7601e+5 0.2801e+5 0.2460e+6 0.6001e+5 0.6001e+5 0.7501e+5 0.4660e+6 0.3400e+3 0.6001e+5 0.5000e+6 0.5000e+6 0.1000e+9 0.1000e+9 0.1000e+9

/com,-----------------------------------------------------------------------------------/com, Material Properties /com,********************* MP,EX, 1, MP,NUXY,1, MP,GXY ,1, MP,ALPX,1,

YoungModulus Nu ShearModulus K

MP,EX, 2, MP,NUXY,2, MP,GXY ,2, MP,ALPX,2,




2572































MP,EX,

18, YoungModulus


2573

NRC Piping Benchmarks Input Listings MP,NUXY,18, Nu MP,GXY ,18, ShearModulus MP,ALPX,18, K MP,EX, 19, MP,NUXY,19, MP,GXY ,19, MP,ALPX,19,








/com,-----------------------------------------------------------------------------------/com, Nodes /com,******* n,1,-203.808,4715.952,139.224 n,2,-215.808,4715.952,139.224 n,3,-203.808,4703.952,139.224 n,4,-203.808,4715.952,127.224 n,5,-203.268,4719.852,154.860 n,6,-202.308,4726.800,182.748 n,7,-202.008,4728.948,191.340 n,8,-201.876,4729.392,194.916 n,9,-201.888,4729.392,194.988 n,10,-205.908,4729.392,205.740 n,11,-210.036,4729.392,210.168 n,12,-212.160,4729.392,212.436 n,13,-213.324,4729.392,213.684 n,14,-220.968,4729.392,221.868 n,15,-220.968,4734.492,221.868 n,16,-231.888,4729.392,233.568 n,17,-233.952,4729.392,235.776 n,18,-233.952,4741.392,235.776 n,19,-235.980,4729.392,237.936 n,20,-246.204,4714.392,248.904 n,21,-246.204,4705.860,248.904 n,22,-246.204,4686.792,248.904 n,23,-246.204,4676.952,248.904 n,24,-246.204,4665.900,248.904 n,25,-246.204,4638.876,248.904 n,26,-246.204,4631.628,248.904 n,27,-246.204,4628.952,248.904 n,28,-256.812,4613.952,238.296 n,29,-263.004,4613.952,232.104 n,30,-263.004,4625.952,232.104 n,31,-264.048,4613.952,231.060 n,32,-275.352,4613.952,219.744 n,33,-275.352,4619.052,219.744 n,34,-286.668,4613.952,208.440 n,35,-291.996,4613.952,203.112 n,36,-302.604,4613.952,198.720 n,37,-314.988,4613.952,198.720 n,38,-314.988,4613.952,186.720 n,39,-340.380,4613.952,198.720 n,40,-366.000,4613.952,198.720 n,41,-381.000,4628.952,198.720

2574


vm-nr1677-2-4a-a Input Listing n,42,-381.000,4630.560,198.720 n,43,-381.000,4655.952,198.720 n,44,-369.035,4655.952,197.800 n,45,-381.000,4689.588,198.720 n,46,-381.000,4756.872,198.720 n,47,-381.000,4760.952,198.720 n,48,-396.000,4775.952,198.720 n,49,-399.000,4775.952,198.720 n,50,-399.000,4787.952,198.720 n,51,-402.600,4775.952,198.720 n,52,-402.600,4775.872,210.685 n,53,-440.904,4775.952,198.720 n,54,-450.612,4775.952,198.720 n,55,-465.612,4790.952,198.720 n,56,-465.612,4796.592,198.720 n,57,-453.643,4796.592,197.860 n,58,-465.612,4840.068,198.720 n,59,-465.612,4927.032,198.720 n,60,-465.612,4943.952,198.720 n,61,-459.864,4958.952,212.568 n,62,-458.712,4958.952,215.340 n,63,-458.712,4970.952,215.340 n,64,-455.748,4958.952,222.480 n,65,-463.860,4958.952,242.076 n,66,-484.044,4958.952,250.452 n,67,-533.124,4958.952,270.828 n,68,-537.724,4958.952,259.745 n,69,-552.516,4958.952,278.880 n,70,-552.600,4958.952,278.916 n,71,-560.652,4958.952,298.392 n,72,-559.464,4958.952,301.248 n,73,-559.464,4970.952,301.248 n,74,-558.312,4958.952,304.020 n,75,-553.866,4961.957,293.286 n,76,-554.868,4958.952,312.324 n,77,-548.736,4958.952,327.108 n,78,-548.736,4981.752,327.108 n,79,-546.708,4958.952,331.992 n,80,-542.604,4958.952,341.880 n,81,-538.152,4958.952,352.620 n,82,-532.404,4973.952,366.468 n,83,-532.404,4988.628,366.468 n,84,-532.404,5039.952,366.468 n,85,-532.404,5040.048,366.468 n,86,-546.168,5054.952,372.180 n,87,-551.904,5054.952,374.568 n,88,-551.904,5066.952,374.568 n,89,-560.988,5054.952,378.336 n,90,-560.988,5066.952,378.336 n,91,-565.128,5054.952,380.052 n,92,-578.988,5069.952,385.812 n,93,-578.988,5091.924,385.812 n,94,-578.988,5141.940,385.812 n,95,-590.988,5141.940,385.812 n,96,-578.988,5129.940,385.812 n,97,-578.988,5141.940,373.812 n,98,-242.400,4676.952,252.708 n,99,-242.382,4676.952,252.720 n,100,-238.434,4676.952,256.680 n,101,-232.056,4667.952,263.052 n,102,-232.056,4665.936,263.052 n,103,-232.056,4622.952,263.052 n,104,-225.696,4613.952,256.692 n,105,-218.688,4613.952,249.684 n,106,-216.048,4613.952,243.312 n,107,-216.048,4613.952,208.800 n,108,-216.048,4613.952,181.644 n,109,-216.048,4625.952,181.644 n,110,-216.048,4613.952,155.748


2575

NRC Piping Benchmarks Input Listings n,111,-216.048,4613.952,103.944 n,112,-216.048,4613.952,78.048 n,113,-204.048,4613.952,78.048 n,114,-216.048,4613.952,34.980 n,115,-216.048,4613.952,27.048 n,116,-225.048,4613.952,18.048 n,117,-231.048,4613.952,18.048 n,118,-231.048,4616.447,29.785 n,119,-246.048,4613.952,18.048 n,120,-246.048,4625.952,18.048 n,121,-267.048,4613.952,18.048 n,122,-276.048,4613.952,27.048 n,123,-276.048,4613.952,40.452 n,124,-276.048,4613.952,137.544 n,125,-276.048,4613.952,168.948 n,126,-276.048,4622.952,177.948 n,127,-276.048,4625.952,177.948 n,128,-274.814,4625.952,189.884 n,129,-276.048,4668.492,177.948 n,130,-276.048,4753.560,177.948 n,131,-276.048,4766.952,177.948 n,132,-285.048,4775.952,177.948 n,133,-288.048,4775.952,177.948 n,134,-288.048,4787.952,177.948 n,135,-300.048,4775.952,177.948 n,136,-300.048,4781.441,188.620 n,137,-350.532,4775.952,177.948 n,138,-451.512,4775.952,177.948 n,139,-472.020,4775.952,177.948 n,140,-481.020,4784.952,177.948 n,141,-481.020,4800.792,177.948 n,142,-469.580,4800.792,181.571 n,143,-481.020,4855.320,177.948 n,144,-481.020,4964.388,177.948 n,145,-481.020,4979.592,177.948 n,146,-481.020,4979.592,189.948 n,147,-481.020,5000.592,177.948 n,148,-489.336,5009.952,181.392 n,149,-492.876,5009.952,182.868 n,150,-492.876,5021.952,182.868 n,151,-520.044,5009.952,194.148 n,152,-558.600,5009.952,210.156 n,153,-566.916,5018.952,213.600 n,154,-566.916,5021.892,213.600 n,155,-566.916,5048.952,213.600 n,156,-563.472,5057.952,221.912 n,157,-562.320,5057.952,224.688 n,158,-562.320,5069.952,224.688 n,159,-558.864,5057.952,233.004 n,160,-556.716,5057.952,238.188 n,161,-553.884,5057.952,245.004 n,162,-553.884,5062.044,245.004 n,163,-548.904,5057.952,257.016 n,164,-546.600,5057.952,262.560 n,165,-545.436,5057.952,265.368 n,166,-556.148,5060.878,260.821 n,167,-534.588,5057.952,291.528 n,168,-512.880,5057.952,343.824 n,169,-502.020,5057.952,369.984 n,170,-502.020,5069.952,369.984 n,171,-500.988,5057.952,372.468 n,172,-496.392,5045.952,383.544 n,173,-496.392,5037.192,383.544 n,174,-496.392,5033.952,383.544 n,175,-506.700,5021.952,389.676 n,176,-539.784,5021.952,409.358 n,177,-596.976,5059.452,495.504 n,178,-588.540,5021.952,438.372 n,179,-588.624,5021.952,438.420

2576


vm-nr1677-2-4a-a Input Listing n,180,-595.416,5029.848,442.464 n,181,-595.416,5035.452,442.464 n,182,-605.748,5047.452,448.596 n,183,-610.896,5047.452,451.668 n,184,-615.072,5047.452,468.120 n,185,-613.716,5047.452,470.388 n,186,-603.960,5047.452,486.792 n,187,-597.504,5047.452,494.988 n,188,-596.976,5047.452,495.504 n,189,-570.048,5047.452,521.736 n,190,-516.180,5047.452,574.200 n,191,-462.312,5047.452,626.676 n,192,-435.384,5047.452,652.920 n,193,-447.384,5047.452,652.920 n,194,-435.384,5035.452,652.920 n,195,-435.384,5047.452,640.920 n,271,-249.31,4618.4,245.79 n,272,-560.66,4959,286.99 n,273,-574.94,5059.4,384.11 n,274,-536.41,5050.6,368.12 n,275,-233.93,4674.4,261.18 n,276,-483.33,5007.2,178.89 n,277,-564.48,5012.6,212.59 n,278,-598.45,5044.0,444.25 n,279,-616.39,5047.5,459.03 /com,-----------------------------------------------------------------------------------/com, /com, Straight Pipe (Tangent) Elements /com,********************************** mat,1 type,1 real,1 e,1,5 type,2 real,2 e,5,6 type,3 real,3 e,6,7 e,8,9 e,10,11 type,4 real,4 e,11,12 e,12,13 e,13,14 e,14,16 e,31,32 e,32,34 type,5 real,5 e,14,15 e,32,33 e,77,78 type,6 real,6 e,16,17 e,17,19 e,20,21 e,21,22 e,22,23 e,23,24


2577

NRC Piping Benchmarks Input Listings e,24,25 e,25,26 e,26,27 e,28,29 e,29,31 e,34,35 e,36,37 e,37,39 e,39,40 e,41,42 e,42,43 e,43,45 e,45,46 e,46,47 e,48,49 e,49,51 e,51,53 e,53,54 e,55,56 e,56,58 e,58,59 e,59,60 e,61,62 e,62,64 e,65,66 e,66,67 e,67,69 e,69,70 e,71,72 e,72,74 e,74,76 type,7 real,7 e,76,77 e,77,79 e,79,80 type,13 real,13 e,80,81 e,82,83 e,83,84 e,84,85 e,86,87 e,87,89 e,89,91 e,92,93 e,93,94 id = 8 type,8 real,8 e,23,98 e,98,99 e,99,100 e,101,102 e,102,103 e,104,105 e,106,107 e,107,108 e,108,110 e,110,111 e,111,112 e,112,114 e,114,115 e,116,117 e,117,119 e,119,121 e,122,123 e,123,124 e,124,125

2578


vm-nr1677-2-4a-a Input Listing e,126,127 e,127,129 e,129,130 e,130,131 e,132,133 e,133,135 e,135,137 e,137,138 e,138,139 e,140,141 e,141,143 e,143,144 e,144,145 e,145,147 e,148,149 e,149,151 e,151,152 e,153,154 e,154,155 e,156,157 e,157,159 e,163,164 type,9 real,9 e,159,160 e,160,161 e,161,163 type,10 real,10 e,161,162 type,12 real,12 e,164,165 e,165,167 e,167,168 e,168,169 e,169,171 e,172,173 e,173,174 e,175,176 e,176,178 e,178,179 e,180,181 e,182,183 e,184,185 e,185,186 e,187,188 e,188,189 e,189,190 e,190,191 e,191,192 /com, /com, Pipe Bend Elements /com,******************** mat,1 type,14 real,14 e,7,8,6 e,9,10,11 type,15 real,15 e,19,20,21 e,27,271,26 e,271,28,29 e,35,36,37


2579

NRC Piping Benchmarks Input Listings e,40,41,42 e,47,48,49 e,54,55,53 e,60,61,62 e,64,65,66 type,16 real,16 e,70,272,69 e,272,71,72 type,17 real,17 e,81,82,83 e,91,273,89 e,273,92,93 type,18 real,18 e,85,274,83 e,274,86,87 type,19 real,19 e,100,275,99 e,275,101,102 e,103,104,105 e,105,106,107 e,115,116,114 e,121,122,123 e,125,126,124 e,131,132,133 e,139,140,138 e,147,276,145 e,276,148,149 e,152,277,151 e,277,153,154 e,155,156,157 type,20 real,20 e,171,172,173 e,174,175,176 e,181,278,180 e,278,182,183 e,183,279,182 e,279,184,185 type,21 real,21 e,186,187,188 type,22 real,22 e,179,180,181 /com, Point Mass without considering rotatary inertia /com,************************************************* type,23 real,23 e,12 e,21 e,25 type,24 real,24 e,15 type,25 real,25 e,33

2580



type,26 real,26 e,34 type,27 real,27 e,39 e,42 type,28 real,28 e,45 e,46 type,29 real,29 e,53 type,30 real,30 e,58 e,59 type,31 real,31 e,66 type,32 real,32 e,69 type,33 real,33 e,78 type,34 real,34 e,79 e,83 e,84 type,35 real,35 e,93 type,36 real,36 e,102 e,104 e,107 type,37 real,37 e,110 e,111 type,38 real,38 e,114 type,39 real,39 e,123 e,124 type,40 real,40 e,129 e,130 type,41


2581

NRC Piping Benchmarks Input Listings real,41 e,137 e,138 type,42 real,42 e,143 e,144 type,43 real,43 e,151 e,154 e,160 type,44 real,44 e,162 type,45 real,45 e,167 e,168 type,46 real,46 e,173 e,176 e,178 e,185 type,47 real,47 e,189 e,190 e,191 /com, /com, Elastic supports and anchors /com,****************************** type,48 real,48 e,1,2 type,49 real,49 e,1,3 type,50 real,50 e,1,4 id = 51 type,51 real,51 e,17,18 type,52 real,52 e,29,30 type,53 real,53 e,37,38 type,55 real,55 e,49,50 type,58 real,58

2582


vm-nr1677-2-4a-a Input Listing e,62,63 type,60 real,60 e,72,73 type,62 real,62 e,87,88 type,63 real,63 e,89,90 type,64 real,64 e,94,95 type,65 real,65 e,94,96 type,66 real,66 e,94,97 type,67 real,67 e,108,109 type,68 real,68 e,112,113 type,70 real,70 e,119,120 type,72 real,72 e,133,134 type,75 real,75 e,145,146 type,76 real,76 e,149,150 type,77 real,77 e,157,158 id = 79 type,79 real,79 e,169,170 type,80 real,80 e,188,177 type,81 real,81 e,192,193 type,82 real,82 e,192,194 type,83


2583

NRC Piping Benchmarks Input Listings real,83 e,192,195 /com, /com, rotate nodes with less than 3 supports /com,**************************************** wplane,,nx(43),ny(43),nz(43),nx(44),ny(44),nz(44),nx(45),ny(45),nz(45) cswplane,11,0 nrotat,43 nrotat,44 csys,0 real,54 type,54 e,43,44 wplane,,nx(51),ny(51),nz(51),nx(52),ny(52),nz(52),nx(49),ny(49),nz(49) cswplane,12,0 nrotat,51 nrotat,52 csys,0 real,56 type,56 e,51,52 wplane,,nx(56),ny(56),nz(56),nx(57),ny(57),nz(57),nx(55),ny(55),nz(55) cswplane,13,0 nrotat,56 nrotat,57 csys,0 real,57 type,57 e,56,57 wplane,,nx(67),ny(67),nz(67),nx(68),ny(68),nz(68),nx(66),ny(66),nz(66) cswplane,14,0 nrotat,67 nrotat,68 csys,0 real,59 type,59 e,67,68 wplane,,nx(74),ny(74),nz(74),nx(75),ny(75),nz(75),nx(72),ny(72),nz(72) cswplane,15,0 nrotat,74 nrotat,75 csys,0 real,61 type,61 e,74,75 wplane,,nx(117),ny(117),nz(117),nx(118),ny(118),nz(118),nx(116),ny(116),nz(116) cswplane,16,0 nrotat,117 nrotat,118 csys,0 real,69 type,69 e,117,118 wplane,,nx(127),ny(127),nz(127),nx(128),ny(128),nz(128),nx(126),ny(126),nz(126) cswplane,17,0 nrotat,127 nrotat,128 csys,0

2584



real,71 type,71 e,127,128 wplane,,nx(135),ny(135),nz(135),nx(136),ny(136),nz(136),nx(133),ny(133),nz(133) cswplane,18,0 nrotat,135 nrotat,136 csys,0 real,73 type,73 e,135,136 wplane,,nx(141),ny(141),nz(141),nx(142),ny(142),nz(142),nx(140),ny(140),nz(140) cswplane,19,0 nrotat,141 nrotat,142 csys,0 real,74 type,74 e,141,142 wplane,,nx(165),ny(165),nz(165),nx(166),ny(166),nz(166),nx(164),ny(164),nz(164) cswplane,20,0 nrotat,165 nrotat,166 csys,0 real,78 type,78 e,165,166 /com,-----------------------------------------------------------------------------------/com, /com, Constraints /com,************* nsel,s,node,,2,4 nsel,a,node,,18 nsel,a,node,,30 nsel,a,node,,38 nsel,a,node,,44 nsel,a,node,,50 nsel,a,node,,52 nsel,a,node,,57 nsel,a,node,,63 nsel,a,node,,68 nsel,a,node,,73 nsel,a,node,,75 nsel,a,node,,88 nsel,a,node,,90 nsel,a,node,,95,97 nsel,a,node,,109 nsel,a,node,,113 nsel,a,node,,118 nsel,a,node,,120 nsel,a,node,,128 nsel,a,node,,134 nsel,a,node,,136 nsel,a,node,,142 nsel,a,node,,146 nsel,a,node,,150 nsel,a,node,,158 nsel,a,node,,166 nsel,a,node,,170 nsel,a,node,,177 nsel,a,node,,193,195 d,all,all


2585

NRC Piping Benchmarks Input Listings allsel,all,all d,1,rotx,,,,,roty,rotz d,94,rotx,,,,,roty,rotz d,192,rotx,,,,,roty,rotz finish /com,-----------------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal ! Perform Modal Analysis modopt,lanb,maxm lumpm,on ! Use Lumped Mass Matrix Approximation mxpand,maxm,,,yes ! Expand solutions with Element Calculations turned ON solve save /com, /com,=========================== /com, Compare Modal Frequencies /com,=========================== /com, *dim,Amode,ARRAY,maxm *dim,Emode,ARRAY,maxm *dim,ERmode,ARRAY,maxm *dim,moden,ARRAY,maxm *do,i,1,maxm *GET, Amode(i), MODE, i, FREQ *enddo *VFILL,Emode,DATA,2.612,2.914,4.337,4.66,5.734,5.833,7.359,7.769,9.952,10.329 *VFILL,Emode(11),DATA,10.679,10.943,12.03,12.286,13.251,13.407,14.429,14.72,15.253,15.553 *VFILL,Emode(21),DATA,16.172,16.797,17.23,17.275,17.453,18.71,18.898,19.993,21.46,21.523 *VFILL,Emode(31),DATA,22.736,23.281,24.067,24.593,25.117,26.516,26.935,27.509,28.662,29.542 *VFILL,Emode(41),DATA,30.596,31.274,32.283,35.484,36.022,36.394,36.769,38.0,38.42,40.185 *do,i,1,maxm ERmode(i) = ABS(Amode(i)/Emode(i)) moden(i) = i *enddo save,table_1 finish /com,-----------------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr ! Perform Spectrum Analysis spopt,sprs,maxm ! Single Point Response Spectrum SRSS,0.0 ! Combine modes using SRSS mode combination /com,-----------------------------------------------------------------------------------/com, /com, /com, spectrum 1 (X - Direction) /com,****************************

2586


vm-nr1677-2-4a-a Input Listing svtyp, 2, 386.20 freq,0.2,0.5,0.5263,0.578,0.7752,1.7241,2.0,2.1978,2.2472, SV,,0.16,0.16,0.16,0.23,0.339,0.55,0.555,0.555,0.65, freq,2.9851,3.125,4.1667,5.0,5.7143,7.6923,9.0909,9.5238,10.4167 sv,,0.65,1.5,1.5,1.36,0.45,0.935,0.935,0.995,1.31, freq,14.0845,17.8571,19.6078,27.027,33.3333,50.0,100.0 sv,,1.31,1.0,1.222,1.222,0.5,0.252,0.252, sed,1,0,0 solve /com, /com, spectrum 2 (Y - Direction) /com,**************************** svtyp, 2, 386.20 freq,, FREQ,0.2,0.6061,0.667,1.9231,2.439,3.7037,4.0,5.3476,5.5866, SV,,0.085,0.115,0.125,0.36,0.40,0.525,0.54,0.54,0.506, FREQ,8.333,10.989,12.5,14.7059,20.0,21.2766,22.2222,27.7778,28.5714, SV,,2.6,2.6,0.9,0.875,0.875,0.76,0.85,0.85,0.522, FREQ,30.303,33.3333,50.0,100.0 SV,,0.255,0.295,0.194,0.194 sed,0,1,0 solve /com, /com, spectrum 3 (Z - Direction) /com,*************************** svtyp, 2, 386.20 freq,,, FREQ,0.2,0.5,0.5814,1.7544,2.1739,2.8571,3.0303,4.1667,5.0, SV,,0.16,0.16,0.23,0.56,0.56,0.80,1.5,1.5,1.15, FREQ,5.2632,5.7143,5.8824,6.2893,6.5789,7.4074,9.6154,10.4167,14.0845, SV,,0.64,0.64,0.7,0.7,0.875,1.05,1.05,1.31,1.31, FREQ,15.873,17.2414,25.0,27.027,32.2581,50.0,100.0 SV,,0.85,1.15,1.15,1.1,0.5,0.225,0.225, sed,0,0,1 solve finish /com,-----------------------------------------------------------------------------------/com, /post1 /input,,mcom /com,----------------------------------/com, *Labels* *dim,label2,char,1,6 *dim,label3,char,6,1 *dim,label4,char,6,1 *dim,label5,char,22,1 /com,------------------------label2(1,1) = 'ux_81' label2(1,2) = 'uy_155'


2587

NRC Piping Benchmarks Input Listings label2(1,3) label2(1,4) label2(1,5) label2(1,6)

= 'uz_61' ='rotx_143' ='roty_149' ='rotz_84'

/com,----------------------label3(1,1)='PX(I)' label3(2,1)='VY(I)' label3(3,1)='VZ(I)' label3(4,1)='TX(I)' label3(5,1)='MY(I)' label3(6,1)='MZ(I)' /com,----------------------label4(1,1)='PX(J)' label4(2,1)='VY(J)' label4(3,1)='VZ(J)' label4(4,1)='TX(J)' label4(5,1)='MY(J)' label4(6,1)='MZ(J)' /com,----------------------------------/com,-----------------------------------------------------------------------------------/com, /com,======================================================== /com, Maximum nodal displacements and rotations comparsion /com,======================================================== /com, /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,81,U,X *GET,AdisY,NODE,155,U,Y *GET,AdisZ,NODE,61,U,Z *GET,ArotX,NODE,143,ROT,X *GET,ArotY,NODE,149,ROT,Y *GET,ArotZ,NODE,84,ROT,Z /com, /com, Expected results from NRC manual /com, ********************************* *SET,EdisX,9.29050e-01 *SET,EdisY,3.19026e-01 *SET,EdisZ,6.18342e-01 *SET,ErotX,5.98220e-03 *SET,ErotY,1.00078e-02 *SET,ErotZ,9.17224e-03 /com, /com, Error computation /com,******************** ERdisX=ABS(AdisX/EdisX) ERdisY=ABS(AdisY/EdisY) ERdisZ=ABS(AdisZ/EdisZ) ERrotX=ABS((ArotX)/(ErotX)) ERrotY=ABS((ArotY)/(ErotY)) ERrotZ=ABS((ArotZ)/(ErotZ)) *dim,value,,6,3 *vfill,value(1,1),data,EdisX *vfill,value(1,2),data,AdisX *vfill,value(1,3),data,ERdisX *vfill,value(2,1),data,EdisY

2588


vm-nr1677-2-4a-a Input Listing *vfill,value(2,2),data,AdisY *vfill,value(2,3),data,ERdisY *vfill,value(3,1),data,EdisZ *vfill,value(3,2),data,AdisZ *vfill,value(3,3),data,ERdisZ *vfill,value(4,1),data,ErotX *vfill,value(4,2),data,ArotX *vfill,value(4,3),data,ERrotX *vfill,value(5,1),data,ErotY *vfill,value(5,2),data,ArotY *vfill,value(5,3),data,ERrotY *vfill,value(6,1),data,ErotZ *vfill,value(6,2),data,ArotZ *vfill,value(6,3),data,ERrotZ save,table_2 /com,-----------------------------------------------------------------------------------/com,======================================================== /com, Element Forces and Moments Comparison /com,======================================================== /com, Solution obtained from Mechanical APDL /com,****************************** *dim,elem_res_I,,1,6 *dim,elem_res_J,,1,6 *dim,pxi,,1 *dim,vyi,,1 *dim,vzi,,1 *dim,txi,,1 *dim,myi,,1 *dim,mzi,,1 *dim,pxj,,1 *dim,vyj,,1 *dim,vzj,,1 *dim,txj,,1 *dim,myj,,1 *dim,mzj,,1 esel,s,ename,,16 esel,a,ename,,18 /com,========== /com, Node I /com,========== /com, Element #1 /com,*********** *get,pxi(1,1),elem,1,smisc,1 *get,vyi(1,1),elem,1,smisc,2 *get,vzi(1,1),elem,1,smisc,3 *get,txi(1,1),elem,1,smisc,4 *get,myi(1,1),elem,1,smisc,5 *get,mzi(1,1),elem,1,smisc,6 *vfill,elem_res_I(1,1),data,pxi(1,1) *vfill,elem_res_I(1,2),data,vyi(1,1) *vfill,elem_res_I(1,3),data,vzi(1,1) *vfill,elem_res_I(1,4),data,txi(1,1) *vfill,elem_res_I(1,5),data,myi(1,1) *vfill,elem_res_I(1,6),data,mzi(1,1) /com,==========


2589

NRC Piping Benchmarks Input Listings /com, Node J /com,========== /com, Element #1 /com,************ *get,pxj(1,1),elem,1,smisc,7 *get,vyj(1,1),elem,1,smisc,8 *get,vzj(1,1),elem,1,smisc,9 *get,txj(1,1),elem,1,smisc,10 *get,myj(1,1),elem,1,smisc,11 *get,mzj(1,1),elem,1,smisc,12 *vfill,elem_res_J(1,1),data,pxj(1,1) *vfill,elem_res_J(1,2),data,vyj(1,1) *vfill,elem_res_J(1,3),data,vzj(1,1) *vfill,elem_res_J(1,4),data,txj(1,1) *vfill,elem_res_J(1,5),data,myj(1,1) *vfill,elem_res_J(1,6),data,mzj(1,1) /com,---------------------------------------------------------------------------/com, Results from NRC benchmarks /com, *************************** *dim,exp_I,,1,6 *dim,exp_J,,1,6 /com, Element #1 /com,************ *vfill,exp_I(1,1),data,2.273e+03 *vfill,exp_I(1,2),data,3.719e+03 *vfill,exp_I(1,3),data,2.287e+03 *vfill,exp_I(1,4),data,1.050e+05 *vfill,exp_I(1,5),data,2.299e+05 *vfill,exp_I(1,6),data,3.516e+05 *vfill,exp_J(1,1),data,2.273e+03 *vfill,exp_J(1,2),data,3.719e+03 *vfill,exp_J(1,3),data,2.287e+03 *vfill,exp_J(1,4),data,1.050e+05 *vfill,exp_J(1,5),data,1.987e+05 *vfill,exp_J(1,6),data,2.920e+05 /com,--------------------------------------------------------------------------/com, Error computation /com, ********************* *dim,elem_error_I,,1,6 *dim,elem_error_J,,1,6 *dim,elem_tab,,12,3 /com,============ /com, Node I /com,============ i = 1 *do,j,1,6 *vfill,elem_error_I(i,j),data,abs(elem_res_I(i,j)/exp_I(i,j)) *enddo /com,============ /com, Node J /com,============ i = 1 *do,j,1,6 *vfill,elem_error_J(i,j),data,abs(elem_res_J(i,j)/exp_J(i,j)) *enddo

2590


vm-nr1677-2-4a-a Input Listing /com,-------------------------------------------------------------------------i = 1 cs=(i-1)*6 *do,j,1,6 n=cs+j *vfill,elem_tab(n,1),data,exp_I(i,j) *vfill,elem_tab(n,2),data,elem_res_I(i,j) *vfill,elem_tab(n,3),data,elem_error_I(i,j) *enddo *do,j,1,6 m=cs+j+6 *vfill,elem_tab(m,1),data,exp_J(i,j) *vfill,elem_tab(m,2),data,elem_res_J(i,j) *vfill,elem_tab(m,3),data,elem_error_J(i,j) *enddo save,table_3 /com,-----------------------------------------------------------------------------------/com,***************************** /com, Reaction forces comparision /com,****************************** *dim,Areac,,36 *dim,Ereac,,36 *dim,ERreac,,36 *dim,Nreac,STRING,8,36 /com, Labels /com,******** Nreac(1,1) Nreac(1,2) Nreac(1,3) Nreac(1,4) Nreac(1,5)

= = = = =

'FX1' 'FY1' 'FZ1' 'FY17' 'FY29'

Nreac(1,6) = 'FZ37' Nreac(1,7) = 'FX43' Nreac(1,8) = 'FY49' Nreac(1,9) = 'FZ51' Nreac(1,10) = 'FX56' Nreac(1,11) Nreac(1,12) Nreac(1,13) Nreac(1,14) Nreac(1,15)

= = = = =

'FY62' 'FZ67' 'FY72' 'FZ74' 'FY87'

Nreac(1,16) Nreac(1,17) Nreac(1,18) Nreac(1,19) Nreac(1,20)

= = = = =

'FY89' 'FX94' 'FY94' 'FZ94' 'FY108'


= = = = =

'FX112' 'FZ117' 'FY119' 'FZ127' 'FY133'


= = = = =

'FZ135' 'FX141' 'FZ145' 'FY149' 'FY157'

Nreac(1,31) = 'FX165' Nreac(1,32) = 'FY169'


2591

NRC Piping Benchmarks Input Listings Nreac(1,33) Nreac(1,34) Nreac(1,35) Nreac(1,36)

= = = =

'FY188' 'FX192' 'FY192' 'FZ192'

/com, Solution obtained from Mechanical APDL /com,****************************** *GET,Areac(1),NODE,2,RF,FX *GET,Areac(2),NODE,3,RF,FY *GET,Areac(3),NODE,4,RF,FZ *GET,Areac(4),NODE,18,RF,FY *GET,Areac(5),NODE,30,RF,FY *GET,Areac(6),NODE,38,RF,FZ *GET,Areac(7),NODE,44,RF,FX *GET,Areac(8),NODE,50,RF,FY *GET,Areac(9),NODE,52,RF,FX *GET,Areac(10),NODE,57,RF,FX *GET,Areac(11),NODE,63,RF,FY *GET,Areac(12),NODE,68,RF,FX *GET,Areac(13),NODE,73,RF,FY *GET,Areac(14),NODE,75,RF,FX *GET,Areac(15),NODE,88,RF,FY *GET,Areac(16),NODE,90,RF,FY *GET,Areac(17),NODE,95,RF,FX *GET,Areac(18),NODE,96,RF,FY *GET,Areac(19),NODE,97,RF,FZ *GET,Areac(20),NODE,109,RF,FY *GET,Areac(21),NODE,113,RF,FX *GET,Areac(22),NODE,118,RF,FX *GET,Areac(23),NODE,120,RF,FY *GET,Areac(24),NODE,128,RF,FX *GET,Areac(25),NODE,134,RF,FY *GET,Areac(26),NODE,136,RF,FX *GET,Areac(27),NODE,142,RF,FX *GET,Areac(28),NODE,146,RF,FZ *GET,Areac(29),NODE,150,RF,FY *GET,Areac(30),NODE,158,RF,FY *GET,Areac(31),NODE,166,RF,FX *GET,Areac(32),NODE,170,RF,FY *GET,Areac(33),NODE,177,RF,FY *GET,Areac(34),NODE,193,RF,FX *GET,Areac(35),NODE,194,RF,FY *GET,Areac(36),NODE,195,RF,FZ /com, Expected results from NRC manual /com,********************************** *VFILL,Ereac,DATA,3724,2390,2156,42,2466,4850,4765,3835,3482,2101 *VFILL,Ereac(11),DATA,61,6860,2669,6554,109,5015,3334,4739,861,64 *VFILL,Ereac(21),DATA,2312,2079,1153,1829,886,889,1858,2571,1349,106 *VFILL,Ereac(31),DATA,4370,1340,1170,970,749,2952 /com, Error computation /com,******************* *do,i,1,36 ERreac(i) = abs(Areac(i)/Ereac(i)) *enddo save,table_4 /com,-----------------------------------------------------------------------------------/com, /out,

2592



/com, /com, ------------------------vm-nr1677-2-4a-a Results Verification------------------------/com, /nopr resume,table_1 /gopr /out,vm-nr1677-2-4a-a,vrt /com, /com, =========================================== /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, =========================================== /com, /com, Mode | Expected | Mechanical APDL | /com,

Ratio

*VWRITE,moden(1),Emode(1),Amode(1),ERmode(1) (1X,F3.0,2X,F8.4,3X,F8.4,3X,F4.2,' ') /com, /com, ------------------------------------------------------------------------/nopr resume,table_2 /gopr /com, /com,==================================================== /com, COMPARISON OF NODAL DISPLACEMENTS AND ROTATIONS /com, WITH EXPECTED RESULTS /com,==================================================== /com, /com, /com,


Ratio


Node | Expected |

Mechanical APDL

|

Ratio


2593


*VWRITE,Nreac(1),Ereac(1),Areac(1),ERreac(1) (5X,a,2X,F12.4,3X,F12.4,3X,F8.4,' ') /com, /com,-------------------------------------------------------------------------/com, /nopr resume,table_3 /gopr /com, /com,=============================================== /com, COMPARISON OF ELEMENT FORCES AND MOMENTS /com, WITH EXPECTED RESULTS /com,=============================================== /com, /com,-------------------------------------------------------/com, Note: Element Forces and Moments for some elements /com, along Y & Z directions are flipped between Mechanical APDL /com, and NRC results /com,--------------------------------------------------------

/com, /com,


Ratio

/com,=============== /com, Element 1 /com,=============== /com, *vwrite,label3(1,1),elem_tab(1,1),elem_tab(1,2),elem_tab(1,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(7,1),elem_tab(7,2),elem_tab(7,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, /com, /com,******************************************************************* /com,******************************************************************* /com, /com, /out, *list,vm-nr1677-2-4a-a,vrt finish

vm-nr1677-2-4c-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-2-4c-a /title,vm-nr1677-2-4c-a,NRC piping benchmarks problems,Volume II,Problem 4c /com, ******************************************************************************* /com, Reference: Piping benchmark problems,Dynamic analysis independant support /com, motion response spectrum method, P. Bezler, M. Subudhi and /com, M.Hartzman, NUREG/CR--1677-Vol.2, August 1985. /com, /com, /com, /com, Element used: Pipe16, Pipe18, Combin14 and Mass21

2594


vm-nr1677-2-4c-a Input Listing /com, /com, /com, /com, /com, /com, /com, /com, /com, /com,

Results comparsion: The following results are compared against NRC piping benchmark values 1. Frequencies obtained from modal solution. 2. Maximum nodal displacements and rotations obtained from spectrum solution. 3. Element forces/moments obtained from spectrum solution. 4. Reaction forces obtained from spectrum solution.

*******************************************************************************


= = = = =

2.25 3.44 1.0 2.64 74.775


= = = = =

32.25 15.625 10.75 16.03 160.3

OD_6 = 10.75 OD_7 = 16.03 OD_8 = 6.625 OD_9 = 9.87 OD_10 = 98.7 OD_11 = 6.625 OD_12 = 8.625 OD_13 = 10.75 /com, /com, Bend Radius /com,-------------RADCUR_1 = 15.0 RADCUR_2 = 14.9 RADCUR_3 = 9.0


2595

NRC Piping Benchmarks Input Listings RADCUR_4 = 12.0 RADCUR_5 = 40.0 RADCUR_6 = 8.0 /com,----------------------------------------------------------------------------------/com, /com, Element Types /com,*************** et,1,pipe16 et,2,pipe16 et,3,pipe16 et,4,pipe16 et,5,pipe16 et,6,pipe16 et,7,pipe16 et,8,pipe16 et,9,pipe16 et,10,pipe16 et,11,pipe16 et,12,pipe16 et,13,pipe16 et,14,pipe18 et,15,pipe18 et,16,pipe18 et,17,pipe18 et,18,pipe18 et,19,pipe18 et,20,pipe18 et,21,pipe18 et,22,pipe18 et,23,mass21 keyopt,23,3,2 et,24,mass21 keyopt,24,3,2 et,25,mass21 keyopt,25,3,2 et,26,mass21 keyopt,26,3,2 et,27,mass21 keyopt,27,3,2 et,28,mass21 keyopt,28,3,2 et,29,mass21 keyopt,29,3,2 et,30,mass21 keyopt,30,3,2 et,31,mass21 keyopt,31,3,2 et,32,mass21 keyopt,32,3,2 et,33,mass21 keyopt,33,3,2 et,34,mass21 keyopt,34,3,2 et,35,mass21 keyopt,35,3,2 et,36,mass21 keyopt,36,3,2 et,37,mass21 keyopt,37,3,2 et,38,mass21 keyopt,38,3,2 et,39,mass21 keyopt,39,3,2 et,40,mass21 keyopt,40,3,2 et,41,mass21 keyopt,41,3,2

2596



vm-nr1677-2-4c-a Input Listing et,42,mass21 keyopt,42,3,2 et,43,mass21 keyopt,43,3,2 et,44,mass21 keyopt,44,3,2 et,45,mass21 keyopt,45,3,2 et,46,mass21 keyopt,46,3,2 et,47,mass21 keyopt,47,3,2 et,48,combin14,,1 keyopt,48,2,1 et,49,combin14,,2 keyopt,49,2,2 et,50,combin14,,3 keyopt,50,2,3 et,51,combin14,,2 keyopt,51,2,2 et,52,combin14,,2 keyopt,52,2,2 et,53,combin14,,3 keyopt,53,2,3 et,54,combin14,,1 keyopt,54,2,1 et,55,combin14,,2 keyopt,55,2,2 et,56,combin14,,1 keyopt,56,2,1 et,57,combin14,,1 keyopt,57,2,1 et,58,combin14,,2 keyopt,58,2,2 et,59,combin14,,1 keyopt,59,2,1 et,60,combin14,,2 keyopt,60,2,2 et,61,combin14,,1 keyopt,61,2,1 et,62,combin14,,2 keyopt,62,2,2 et,63,combin14,,2 keyopt,63,2,2 et,64,combin14,,1 keyopt,64,2,1 et,65,combin14,,2 keyopt,65,2,2 et,66,combin14,,3 keyopt,66,2,3 et,67,combin14,,2 keyopt,67,2,2 et,68,combin14,,1 keyopt,68,2,1 et,69,combin14,,1 keyopt,69,2,1 et,70,combin14,,2 keyopt,70,2,2 et,71,combin14,,1 keyopt,71,2,1 et,72,combin14,,2 keyopt,72,2,2 et,73,combin14,,1 keyopt,73,2,1 et,74,combin14,,1 keyopt,74,2,1 et,75,combin14,,3 keyopt,75,2,3 et,76,combin14,,2 keyopt,76,2,2 et,77,combin14,,2

! Spring Elements Types and Real constants ! X Degree of Freedom ! Y Degree of Freedom ! Z Degree of Freedom ! Y Degree of Freedom ! Y Degree of Freedom ! Z Degree of Freedom ! X Degree of Freedom ! Y Degree of Freedom ! X Degree of Freedom ! X Degree of Freedom ! Y Degree of Freedom ! X Degree of Freedom ! Y Degree of Freedom ! X Degree of Freedom ! Y Degree of Freedom ! Y Degree of Freedom ! X Degree of Freedom ! Y Degree of Freedom ! Z Degree of Freedom ! Y Degree of Freedom ! X Degree of Freedom ! X Degree of Freedom ! Y Degree of Freedom ! X Degree of Freedom ! Y Degree of Freedom ! X Degree of Freedom ! X Degree of Freedom ! Z Degree of Freedom ! Y Degree of Freedom


2597

NRC Piping Benchmarks Input Listings keyopt,77,2,2 et,78,combin14,,1 keyopt,78,2,1 et,79,combin14,,2 keyopt,79,2,2 et,80,combin14,,2 keyopt,80,2,2 et,81,combin14,,1 keyopt,81,2,1 et,82,combin14,,2 keyopt,82,2,2 et,83,combin14,,3 keyopt,83,2,3

! Y Degree of Freedom ! X Degree of Freedom ! Y Degree of Freedom ! Y Degree of Freedom ! X Degree of Freedom ! Y Degree of Freedom ! Z Degree of Freedom

/com,---------------------------------------------------------------------------------/com /com, Real Constants /com,**************** r, r, r, r, r, r, r, r, r, r, r, r, r,

1,OD_1,WTick_1 2,OD_2,WTick_2 3,OD_3,WTick_3 4,OD_4,WTick_4 5, OD_5,WTick_5 6, OD_6,WTick_6 7, OD_7,WTick_7 8, OD_8,WTick_8 9, OD_9,WTick_9 10, OD_10,WTick_10 11, OD_11,WTick_11 12, OD_12,WTick_12 13, OD_13,WTick_13

r, r, r, r, r, r, r, r, r,

14, 15, 16, 17, 18, 19, 20, 21, 22,

OD_3, WTick_3,RADCUR_1 OD_6, WTick_6,RADCUR_1 OD_6, WTick_6,RADCUR_2 OD_13, WTick_13,RADCUR_1 OD_13, WTick_13,RADCUR_2 OD_8, WTick_8,RADCUR_3 OD_12, WTick_12,RADCUR_4 OD_12, WTick_12,RADCUR_5 OD_12, WTick_12,RADCUR_6

r,23,1.69306 r,24,5.07505 r,25,4.96894 r,26,1.20212 r,27,1.42495 r,28,1.88768 r,29,2.18323 r,30,2.4397 r,31,2.98188 r,32,1.41874 r,33,1.04943e+1 r,34,9.30124e-1 r,35,1.6118 r,36,6.74431e-1 r,37,6.43116e-1 r,38,1.06962 r,39,1.20549 r,40,1.05642 r,41,1.25388 r,42,1.3543 r,43,6.66149e-1 r,44,2.27769 r,45,1.15217 r,46,1.23214 r,47,1.52976 r,48, 0.1e+9

2598


vm-nr1677-2-4c-a Input Listing r,49, r,50, r,51, r,52, r,53, r,54, r,55, r,56, r,57, r,58, r,59, r,60, r,61, r,62, r,63, r,64, r,65, r,66, r,67, r,68, r,69, r,70, r,71, r,72, r,73, r,74, r,75, r,76, r,77, r,78, r,79, r,80, r,81, r,82, r,83,

0.1e+9 0.1e+9 0.1080e+4 0.6001e+5 0.6001e+5 0.6001e+5 0.7541e+6 0.7541e+6 0.6001e+5 0.6000e+3 0.6001e+5 0.7601e+5 0.6001e+5 0.8000e+3 0.6001e+5 0.1000e+9 0.1000e+9 0.1000e+9 0.2600e+3 0.5901e+5 0.2400e+5 0.7601e+5 0.2801e+5 0.2460e+6 0.6001e+5 0.6001e+5 0.7501e+5 0.4660e+6 0.3400e+3 0.6001e+5 0.5000e+6 0.5000e+6 0.1000e+9 0.1000e+9 0.1000e+9













MP,EX,

7, YoungModulus


2599

NRC Piping Benchmarks Input Listings MP,NUXY,7, Nu MP,GXY ,7, ShearModulus MP,ALPX,7, K MP,EX, 8, MP,NUXY,8, MP,GXY ,8, MP,ALPX,8,


























MP,EX, 21, YoungModulus MP,NUXY,21, Nu MP,GXY ,21, ShearModulus

2600


vm-nr1677-2-4c-a Input Listing MP,ALPX,21, K MP,EX, 22, MP,NUXY,22, MP,GXY ,22, MP,ALPX,22,


/com,-----------------------------------------------------------------------------------/com, Nodes /com,******* n,1,-203.808,4715.952,139.224 n,2,-215.808,4715.952,139.224 n,3,-203.808,4703.952,139.224 n,4,-203.808,4715.952,127.224 n,5,-203.268,4719.852,154.860 n,6,-202.308,4726.800,182.748 n,7,-202.008,4728.948,191.340 n,8,-201.876,4729.392,194.916 n,9,-201.888,4729.392,194.988 n,10,-205.908,4729.392,205.740 n,11,-210.036,4729.392,210.168 n,12,-212.160,4729.392,212.436 n,13,-213.324,4729.392,213.684 n,14,-220.968,4729.392,221.868 n,15,-220.968,4734.492,221.868 n,16,-231.888,4729.392,233.568 n,17,-233.952,4729.392,235.776 n,18,-233.952,4741.392,235.776 n,19,-235.980,4729.392,237.936 n,20,-246.204,4714.392,248.904 n,21,-246.204,4705.860,248.904 n,22,-246.204,4686.792,248.904 n,23,-246.204,4676.952,248.904 n,24,-246.204,4665.900,248.904 n,25,-246.204,4638.876,248.904 n,26,-246.204,4631.628,248.904 n,27,-246.204,4628.952,248.904 n,28,-256.812,4613.952,238.296 n,29,-263.004,4613.952,232.104 n,30,-263.004,4625.952,232.104 n,31,-264.048,4613.952,231.060 n,32,-275.352,4613.952,219.744 n,33,-275.352,4619.052,219.744 n,34,-286.668,4613.952,208.440 n,35,-291.996,4613.952,203.112 n,36,-302.604,4613.952,198.720 n,37,-314.988,4613.952,198.720 n,38,-314.988,4613.952,186.720 n,39,-340.380,4613.952,198.720 n,40,-366.000,4613.952,198.720 n,41,-381.000,4628.952,198.720 n,42,-381.000,4630.560,198.720 n,43,-381.000,4655.952,198.720 n,44,-369.035,4655.952,197.800 n,45,-381.000,4689.588,198.720 n,46,-381.000,4756.872,198.720 n,47,-381.000,4760.952,198.720 n,48,-396.000,4775.952,198.720 n,49,-399.000,4775.952,198.720 n,50,-399.000,4787.952,198.720 n,51,-402.600,4775.952,198.720 n,52,-402.600,4775.872,210.685 n,53,-440.904,4775.952,198.720 n,54,-450.612,4775.952,198.720 n,55,-465.612,4790.952,198.720 n,56,-465.612,4796.592,198.720 n,57,-453.643,4796.592,197.860 n,58,-465.612,4840.068,198.720


2601

NRC Piping Benchmarks Input Listings n,59,-465.612,4927.032,198.720 n,60,-465.612,4943.952,198.720 n,61,-459.864,4958.952,212.568 n,62,-458.712,4958.952,215.340 n,63,-458.712,4970.952,215.340 n,64,-455.748,4958.952,222.480 n,65,-463.860,4958.952,242.076 n,66,-484.044,4958.952,250.452 n,67,-533.124,4958.952,270.828 n,68,-537.724,4958.952,259.745 n,69,-552.516,4958.952,278.880 n,70,-552.600,4958.952,278.916 n,71,-560.652,4958.952,298.392 n,72,-559.464,4958.952,301.248 n,73,-559.464,4970.952,301.248 n,74,-558.312,4958.952,304.020 n,75,-553.866,4961.957,293.286 n,76,-554.868,4958.952,312.324 n,77,-548.736,4958.952,327.108 n,78,-548.736,4981.752,327.108 n,79,-546.708,4958.952,331.992 n,80,-542.604,4958.952,341.880 n,81,-538.152,4958.952,352.620 n,82,-532.404,4973.952,366.468 n,83,-532.404,4988.628,366.468 n,84,-532.404,5039.952,366.468 n,85,-532.404,5040.048,366.468 n,86,-546.168,5054.952,372.180 n,87,-551.904,5054.952,374.568 n,88,-551.904,5066.952,374.568 n,89,-560.988,5054.952,378.336 n,90,-560.988,5066.952,378.336 n,91,-565.128,5054.952,380.052 n,92,-578.988,5069.952,385.812 n,93,-578.988,5091.924,385.812 n,94,-578.988,5141.940,385.812 n,95,-590.988,5141.940,385.812 n,96,-578.988,5129.940,385.812 n,97,-578.988,5141.940,373.812 n,98,-242.400,4676.952,252.708 n,99,-242.382,4676.952,252.720 n,100,-238.434,4676.952,256.680 n,101,-232.056,4667.952,263.052 n,102,-232.056,4665.936,263.052 n,103,-232.056,4622.952,263.052 n,104,-225.696,4613.952,256.692 n,105,-218.688,4613.952,249.684 n,106,-216.048,4613.952,243.312 n,107,-216.048,4613.952,208.800 n,108,-216.048,4613.952,181.644 n,109,-216.048,4625.952,181.644 n,110,-216.048,4613.952,155.748 n,111,-216.048,4613.952,103.944 n,112,-216.048,4613.952,78.048 n,113,-204.048,4613.952,78.048 n,114,-216.048,4613.952,34.980 n,115,-216.048,4613.952,27.048 n,116,-225.048,4613.952,18.048 n,117,-231.048,4613.952,18.048 n,118,-231.048,4616.447,29.785 n,119,-246.048,4613.952,18.048 n,120,-246.048,4625.952,18.048 n,121,-267.048,4613.952,18.048 n,122,-276.048,4613.952,27.048 n,123,-276.048,4613.952,40.452 n,124,-276.048,4613.952,137.544 n,125,-276.048,4613.952,168.948 n,126,-276.048,4622.952,177.948

2602


vm-nr1677-2-4c-a Input Listing n,127,-276.048,4625.952,177.948 n,128,-274.814,4625.952,189.884 n,129,-276.048,4668.492,177.948 n,130,-276.048,4753.560,177.948 n,131,-276.048,4766.952,177.948 n,132,-285.048,4775.952,177.948 n,133,-288.048,4775.952,177.948 n,134,-288.048,4787.952,177.948 n,135,-300.048,4775.952,177.948 n,136,-300.048,4781.441,188.620 n,137,-350.532,4775.952,177.948 n,138,-451.512,4775.952,177.948 n,139,-472.020,4775.952,177.948 n,140,-481.020,4784.952,177.948 n,141,-481.020,4800.792,177.948 n,142,-469.580,4800.792,181.571 n,143,-481.020,4855.320,177.948 n,144,-481.020,4964.388,177.948 n,145,-481.020,4979.592,177.948 n,146,-481.020,4979.592,189.948 n,147,-481.020,5000.592,177.948 n,148,-489.336,5009.952,181.392 n,149,-492.876,5009.952,182.868 n,150,-492.876,5021.952,182.868 n,151,-520.044,5009.952,194.148 n,152,-558.600,5009.952,210.156 n,153,-566.916,5018.952,213.600 n,154,-566.916,5021.892,213.600 n,155,-566.916,5048.952,213.600 n,156,-563.472,5057.952,221.912 n,157,-562.320,5057.952,224.688 n,158,-562.320,5069.952,224.688 n,159,-558.864,5057.952,233.004 n,160,-556.716,5057.952,238.188 n,161,-553.884,5057.952,245.004 n,162,-553.884,5062.044,245.004 n,163,-548.904,5057.952,257.016 n,164,-546.600,5057.952,262.560 n,165,-545.436,5057.952,265.368 n,166,-556.148,5060.878,260.821 n,167,-534.588,5057.952,291.528 n,168,-512.880,5057.952,343.824 n,169,-502.020,5057.952,369.984 n,170,-502.020,5069.952,369.984 n,171,-500.988,5057.952,372.468 n,172,-496.392,5045.952,383.544 n,173,-496.392,5037.192,383.544 n,174,-496.392,5033.952,383.544 n,175,-506.700,5021.952,389.676 n,176,-539.784,5021.952,409.358 n,177,-596.976,5059.452,495.504 n,178,-588.540,5021.952,438.372 n,179,-588.624,5021.952,438.420 n,180,-595.416,5029.848,442.464 n,181,-595.416,5035.452,442.464 n,182,-605.748,5047.452,448.596 n,183,-610.896,5047.452,451.668 n,184,-615.072,5047.452,468.120 n,185,-613.716,5047.452,470.388 n,186,-603.960,5047.452,486.792 n,187,-597.504,5047.452,494.988 n,188,-596.976,5047.452,495.504 n,189,-570.048,5047.452,521.736 n,190,-516.180,5047.452,574.200 n,191,-462.312,5047.452,626.676 n,192,-435.384,5047.452,652.920 n,193,-447.384,5047.452,652.920 n,194,-435.384,5035.452,652.920 n,195,-435.384,5047.452,640.920


2603


n,271,-249.31,4618.4,245.79 n,272,-560.66,4959,286.99 n,273,-574.94,5059.4,384.11 n,274,-536.41,5050.6,368.12 n,275,-233.93,4674.4,261.18 n,276,-483.33,5007.2,178.89 n,277,-564.48,5012.6,212.59 n,278,-598.45,5044.0,444.25 n,279,-616.39,5047.5,459.03 /com,-----------------------------------------------------------------------------------/com, /com, Straight Pipe (Tangent) Elements /com,********************************** mat,1 type,1 real,1 e,1,5 type,2 real,2 e,5,6 type,3 real,3 e,6,7 e,8,9 e,10,11 type,4 real,4 e,11,12 e,12,13 e,13,14 e,14,16 e,31,32 e,32,34 type,5 real,5 e,14,15 e,32,33 e,77,78 type,6 real,6 e,16,17 e,17,19 e,20,21 e,21,22 e,22,23 e,23,24 e,24,25 e,25,26 e,26,27 e,28,29 e,29,31 e,34,35 e,36,37 e,37,39 e,39,40 e,41,42 e,42,43 e,43,45 e,45,46 e,46,47 e,48,49 e,49,51 e,51,53

2604


vm-nr1677-2-4c-a Input Listing e,53,54 e,55,56 e,56,58 e,58,59 e,59,60 e,61,62 e,62,64 e,65,66 e,66,67 e,67,69 e,69,70 e,71,72 e,72,74 e,74,76 type,7 real,7 e,76,77 e,77,79 e,79,80 type,13 real,13 e,80,81 e,82,83 e,83,84 e,84,85 e,86,87 e,87,89 e,89,91 e,92,93 e,93,94 id = 8 type,8 real,8 e,23,98 e,98,99 e,99,100 e,101,102 e,102,103 e,104,105 e,106,107 e,107,108 e,108,110 e,110,111 e,111,112 e,112,114 e,114,115 e,116,117 e,117,119 e,119,121 e,122,123 e,123,124 e,124,125 e,126,127 e,127,129 e,129,130 e,130,131 e,132,133 e,133,135 e,135,137 e,137,138 e,138,139 e,140,141 e,141,143 e,143,144 e,144,145 e,145,147 e,148,149 e,149,151 e,151,152


2605

NRC Piping Benchmarks Input Listings e,153,154 e,154,155 e,156,157 e,157,159 e,163,164 type,9 real,9 e,159,160 e,160,161 e,161,163 type,10 real,10 e,161,162 type,12 real,12 e,164,165 e,165,167 e,167,168 e,168,169 e,169,171 e,172,173 e,173,174 e,175,176 e,176,178 e,178,179 e,180,181 e,182,183 e,184,185 e,185,186 e,187,188 e,188,189 e,189,190 e,190,191 e,191,192 /com, /com, Pipe Bend Elements /com,******************** mat,1 type,14 real,14 e,7,8,6 e,9,10,11 type,15 real,15 e,19,20,21 e,27,271,26 e,271,28,29 e,35,36,37 e,40,41,42 e,47,48,49 e,54,55,53 e,60,61,62 e,64,65,66 type,16 real,16 e,70,272,69 e,272,71,72 type,17 real,17 e,81,82,83 e,91,273,89 e,273,92,93

2606


vm-nr1677-2-4c-a Input Listing type,18 real,18 e,85,274,83 e,274,86,87 type,19 real,19 e,100,275,99 e,275,101,102 e,103,104,105 e,105,106,107 e,115,116,114 e,121,122,123 e,125,126,124 e,131,132,133 e,139,140,138 e,147,276,145 e,276,148,149 e,152,277,151 e,277,153,154 e,155,156,157 type,20 real,20 e,171,172,173 e,174,175,176 e,181,278,180 e,278,182,183 e,183,279,182 e,279,184,185 type,21 real,21 e,186,187,188 type,22 real,22 e,179,180,181 /com, Point Mass without considering rotatary inertia /com,************************************************* type,23 real,23 e,12 e,21 e,25 type,24 real,24 e,15 type,25 real,25 e,33 type,26 real,26 e,34 type,27 real,27 e,39 e,42 type,28 real,28 e,45 e,46 type,29 real,29


2607

NRC Piping Benchmarks Input Listings e,53 type,30 real,30 e,58 e,59 type,31 real,31 e,66 type,32 real,32 e,69 type,33 real,33 e,78 type,34 real,34 e,79 e,83 e,84 type,35 real,35 e,93 type,36 real,36 e,102 e,104 e,107 type,37 real,37 e,110 e,111 type,38 real,38 e,114 type,39 real,39 e,123 e,124 type,40 real,40 e,129 e,130 type,41 real,41 e,137 e,138 type,42 real,42 e,143 e,144 type,43 real,43 e,151 e,154 e,160 type,44 real,44

2608


vm-nr1677-2-4c-a Input Listing e,162 type,45 real,45 e,167 e,168 type,46 real,46 e,173 e,176 e,178 e,185 type,47 real,47 e,189 e,190 e,191 /com, /com, Elastic supports and anchors /com,****************************** type,48 real,48 e,1,2 type,49 real,49 e,1,3 type,50 real,50 e,1,4 id = 51 type,51 real,51 e,17,18 type,52 real,52 e,29,30 type,53 real,53 e,37,38 type,55 real,55 e,49,50 type,58 real,58 e,62,63 type,60 real,60 e,72,73 type,62 real,62 e,87,88 type,63 real,63 e,89,90 type,64 real,64 e,94,95


2609


type,65 real,65 e,94,96 type,66 real,66 e,94,97 type,67 real,67 e,108,109 type,68 real,68 e,112,113 type,70 real,70 e,119,120 type,72 real,72 e,133,134 type,75 real,75 e,145,146 type,76 real,76 e,149,150 type,77 real,77 e,157,158 id = 79 type,79 real,79 e,169,170 type,80 real,80 e,188,177 type,81 real,81 e,192,193 type,82 real,82 e,192,194 type,83 real,83 e,192,195 /com, /com, rotate nodes with less than 3 supports /com,**************************************** wplane,,nx(43),ny(43),nz(43),nx(44),ny(44),nz(44),nx(45),ny(45),nz(45) cswplane,11,0 nrotat,43 nrotat,44 csys,0 real,54 type,54 e,43,44

2610


vm-nr1677-2-4c-a Input Listing wplane,,nx(51),ny(51),nz(51),nx(52),ny(52),nz(52),nx(49),ny(49),nz(49) cswplane,12,0 nrotat,51 nrotat,52 csys,0 real,56 type,56 e,51,52 wplane,,nx(56),ny(56),nz(56),nx(57),ny(57),nz(57),nx(55),ny(55),nz(55) cswplane,13,0 nrotat,56 nrotat,57 csys,0 real,57 type,57 e,56,57 wplane,,nx(67),ny(67),nz(67),nx(68),ny(68),nz(68),nx(66),ny(66),nz(66) cswplane,14,0 nrotat,67 nrotat,68 csys,0 real,59 type,59 e,67,68 wplane,,nx(74),ny(74),nz(74),nx(75),ny(75),nz(75),nx(72),ny(72),nz(72) cswplane,15,0 nrotat,74 nrotat,75 csys,0 real,61 type,61 e,74,75 wplane,,nx(117),ny(117),nz(117),nx(118),ny(118),nz(118),nx(116),ny(116),nz(116) cswplane,16,0 nrotat,117 nrotat,118 csys,0 real,69 type,69 e,117,118 wplane,,nx(127),ny(127),nz(127),nx(128),ny(128),nz(128),nx(126),ny(126),nz(126) cswplane,17,0 nrotat,127 nrotat,128 csys,0 real,71 type,71 e,127,128 wplane,,nx(135),ny(135),nz(135),nx(136),ny(136),nz(136),nx(133),ny(133),nz(133) cswplane,18,0 nrotat,135 nrotat,136 csys,0 real,73 type,73 e,135,136 wplane,,nx(141),ny(141),nz(141),nx(142),ny(142),nz(142),nx(140),ny(140),nz(140) cswplane,19,0


2611

NRC Piping Benchmarks Input Listings nrotat,141 nrotat,142 csys,0 real,74 type,74 e,141,142 wplane,,nx(165),ny(165),nz(165),nx(166),ny(166),nz(166),nx(164),ny(164),nz(164) cswplane,20,0 nrotat,165 nrotat,166 csys,0 real,78 type,78 e,165,166 /com,-----------------------------------------------------------------------------------/com, /com, Constraints /com,************* nsel,s,node,,2,4 nsel,a,node,,18 nsel,a,node,,30 nsel,a,node,,38 nsel,a,node,,44 nsel,a,node,,50 nsel,a,node,,52 nsel,a,node,,57 nsel,a,node,,63 nsel,a,node,,68 nsel,a,node,,73 nsel,a,node,,75 nsel,a,node,,88 nsel,a,node,,90 nsel,a,node,,95,97 nsel,a,node,,109 nsel,a,node,,113 nsel,a,node,,118 nsel,a,node,,120 nsel,a,node,,128 nsel,a,node,,134 nsel,a,node,,136 nsel,a,node,,142 nsel,a,node,,146 nsel,a,node,,150 nsel,a,node,,158 nsel,a,node,,166 nsel,a,node,,170 nsel,a,node,,177 nsel,a,node,,193,195 d,all,all allsel,all,all d,1,rotx,,,,,roty,rotz d,94,rotx,,,,,roty,rotz d,192,rotx,,,,,roty,rotz finish /com,-----------------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution

2612


vm-nr1677-2-4c-a Input Listing antype,modal ! Perform Modal Analysis modopt,lanb,maxm lumpm,on ! Use Lumped Mass Matrix Approximation mxpand,maxm,,,yes ! Expand solutions with Element Calculations turned ON solve save /com, /com,=========================== /com, Compare Modal Frequencies /com,=========================== /com, *dim,Amode,ARRAY,maxm *dim,Emode,ARRAY,maxm *dim,ERmode,ARRAY,maxm *dim,moden,ARRAY,maxm *do,i,1,maxm *GET, Amode(i), MODE, i, FREQ *enddo *VFILL,Emode,DATA,2.612,2.914,4.337,4.66,5.734,5.833,7.359,7.769,9.952,10.329 *VFILL,Emode(11),DATA,10.679,10.943,12.03,12.286,13.251,13.407,14.429,14.72,15.253,15.553 *VFILL,Emode(21),DATA,16.172,16.797,17.23,17.275,17.453,18.71,18.898,19.993,21.46,21.523 *VFILL,Emode(31),DATA,22.736,23.281,24.067,24.593,25.117,26.516,26.935,27.509,28.662,29.542 *VFILL,Emode(41),DATA,30.596,31.274,32.283,35.484,36.022,36.394,36.769,38.0,38.42,40.185 *do,i,1,maxm ERmode(i) = ABS(Amode(i)/Emode(i)) moden(i) = i *enddo save,table_1 finish /com,-----------------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr spopt,mprs,maxm

! Perform Spectrum Analysis ! Multi Point Response Spectrum

gval = 386.0 /com, /com, Support Group 1, Spectrum 1X /com,****************************** id = 1 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.5263,0.7018,0.7752,1.0582,1.105 spval,id,, 0.16,0.16,0.195,0.235,0.339,0.339,0.305 spfrq,id, 1.25,1.3889,1.5221,1.7241,1.9231,2.0,2.1978 spval,id,, 0.305,0.395,0.395,0.525,0.525,0.555,0.555 spfrq,id, 2.2472,2.9851,3.3333,5.0,5.7143,7.6923,9.0909 spval,id,, 0.65,0.65,1.36,1.36,0.45,0.935,0.935 spfrq,id, 9.5238,12.8205,13.8889,17.8571,19.6078,27.027,33.3333 spval,id,, 0.995,0.995,1.0,1.0,1.222,1.222,0.5 spfrq,id, 50.0,100.0 spval,id,, 0.252,0.252 /com,


2613

NRC Piping Benchmarks Input Listings /com, spectrum 1Y (Group 1) /com,*********************** id = 2 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.6061,0.6086,0.7752,1.5504,1.6667 spval,id,, 8.0e-2,8.0e-2,0.115,0.115,0.141,0.255,0.255 spfrq,id, 1.8349,2.0,2.2727,2.381,2.9762,3.4722,3.9216 spval,id,, 0.265,0.34,0.34,0.36,0.36,0.452,0.452 spfrq,id, 3.9841,5.4054,5.5556,6.3694,7.8125,10.5263,11.236 spval,id,, 0.5,0.5,0.4,0.4,1.4,1.4,1.0 spfrq,id, 11.7647,12.987,14.7059,20.0,22.2222,23.809,26.3158 spval,id,, 1.0,0.625,0.875,0.875,0.6,0.6,0.415 spfrq,id, 28.5714,30.303,33.3333,50.0,100.0 spval,id,, 0.415,0.295,0.295,0.165,0.165 /com, /com, spectrum 1Z (Group 1) /com,*********************** id = 3 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.5263,0.9524,1.0417,1.5601,1.5873 spval,id,, 0.15,0.15,0.167,0.24,0.305,0.305,0.28 spfrq,id, 1.7391,1.9048,2.1053,2.5974,3.3333,5.0,5.2632 spval,id,, 0.435,0.435,0.496,0.496,1.15,1.15,0.64 spfrq,id, 5.7143,5.8824,6.2893,6.5789,7.4074,9.6154,11.3636 spval,id,, 0.64,0.7,0.7,0.875,1.05,1.05,0.62 spfrq,id, 12.8205,14.0845,15.873,17.2414,25.0,27.027,32.2581 spval,id,, 0.62,0.755,0.65,1.15,1.15,1.1,0.5 spfrq,id, 50.0,100.0 spval,id,, 0.225,0.225 /com,----------------------------------------------------------------------------------/com, /com, Support Group 2, Spectrum 2X /com,****************************** id = 4 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.5714,0.9091,0.9524,1.25,1.7544 spval,id,, 0.15,0.15,0.22,0.25,0.31,0.31,0.47 spfrq,id, 2.3256,3.2258,4.5455,5.1282,5.5556,7.6923,10.0 spval,id,, 0.47,0.39,0.35,0.29,0.35,0.35,0.23 spfrq,id, 12.5,16.6667,19.2308,33.3333,100.0 spval,id,, 0.3,0.3,0.25,0.09,0.09 /com, /com, spectrum 2Y (Group 2) /com,*********************** id = 5 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.6667,3.7037,4.3478,4.5455,5.5556 spval,id,, 0.085,0.085,0.125,0.525,0.525,0.47,0.47 spfrq,id, 8.3333,10.989,13.3333,16.667,17.2414,21.2766,22.2222

2614


vm-nr1677-2-4c-a Input Listing spval,id,,

2.6,2.6,0.5,0.5,0.76,0.76,0.85

spfrq,id, 27.7778,29.4118,100.0 spval,id,, 0.85,0.194,0.194 /com, /com, spectrum 2Z (Group 2) /com,*********************** id = 6 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.5714,0.9091,0.9524,1.25,1.7544 spval,id,, 0.15,0.15,0.22,0.25,0.31,0.31,0.47 spfrq,id, 2.3256,3.2258,4.5455,5.1282,5.5556,7.6923,10.0 spval,id,, 0.47,0.39,0.35,0.29,0.35,0.35,0.23 spfrq,id, 12.5,16.6667,19.2308,33.3333,100.0 spval,id,, 0.3,0.3,0.25,0.09,0.09 /com,----------------------------------------------------------------------------------/com, /com, Support Group 3, Spectrum 3X /com,****************************** id = 7 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.578,1.7241,2.9412,3.0303,4.1667 spval,id,, 0.16,0.16,0.23,0.52,0.50,0.73,0.73 spfrq,id, 4.7619,5.4054,8.3333,10.5263,14.2857,17.8571,23.8095 spval,id,, 0.28,0.34,0.32,0.8,0.8,0.3,0.3 spfrq,id, 25.0,31.25,38.4615,100.0 spval,id,, 0.27,0.27,0.12,0.11 /com, /com, spectrum 3Y (Group 3) /com,*********************** id = 8 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.5814,1.25,1.4286,1.9231,2.3256 spval,id,, 0.08,0.08,0.11,0.19,0.20,0.35,0.35 spfrq,id, 2.439,3.3898,4.0,5.4054,5.8824,6.25,8.3333 spval,id,, 0.40,0.42,0.52,0.52,0.40,0.43,0.43 spfrq,id, 12.5,16.6667,23.2558,100.0 spval,id,, 0.47,0.14,0.14,0.12 /com, /com, spectrum 3Z (Group 3) /com,*********************** id = 9 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.578,1.7241,2.9412,3.0303,4.1667 spval,id,, 0.16,0.16,0.23,0.52,0.50,0.73,0.73 spfrq,id, 4.7619,5.4054,8.3333,10.5263,14.2857,17.8571,23.8095 spval,id,, 0.28,0.34,0.32,0.8,0.8,0.3,0.3 spfrq,id, 25.0,31.25,38.4615,100.0 spval,id,, 0.27,0.27,0.12,0.11 /com,-----------------------------------------------------------------------------------


2615


/com, /com, Support Group 4, Spectrum 4X /com,****************************** id = 10 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.578,1.25,1.7241,2.2222,2.9412 spval,id,, 0.16,0.16,0.23,0.32,0.55,0.55,0.81 spfrq,id, 3.125,4.1667,5.1282,7.6923,10.4167,14.0845,16.9492 spval,id,, 1.50,1.50,0.29,0.3,1.31,1.31,0.46 spfrq,id, 23.8095,26.3158,32.2581,38.4615,100.0 spval,id,, 0.46,0.30,0.30,0.17,0.16 /com, /com, spectrum 4Y (Group 4) /com,*********************** id = 11 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.5848,1.5625,1.9231,2.3256,2.439 spval,id,, 0.08,0.08,0.11,0.20,0.36,0.36,0.40 spfrq,id, 3.0303,3.4483,4.0,5.3476,5.7143,6.25,8.0 spval,id,, 0.43,0.43,0.54,0.54,0.45,0.52,0.52 spfrq,id, 9.0909,12.5,18.1818,100.0 spval,id,, 0.9,0.9,0.18,0.14 /com, /com, spectrum 4Z (Group 4) /com,*********************** id = 12 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.578,1.25,1.7241,2.2222,2.9412 spval,id,, 0.16,0.16,0.23,0.32,0.55,0.55,0.81 spfrq,id, 3.125,4.1667,5.1282,7.6923,10.4167,14.0845,14.4928 spval,id,, 1.5,1.5,0.29,0.3,1.31,1.31,0.46 spfrq,id, 23.8095,26.3158,32.2581,38.4615,100.0 spval,id,, 0.46,0.3,0.3,0.17,0.16 /com,----------------------------------------------------------------------------------/com, /com, Nodal Components for Excitation Points /com,**************************************** allsel,all,all nsel,,node,,2,4 nsel,a,node,,18 cm,group1,node allsel nsel,,node,,30 nsel,a,node,,38 nsel,a,node,,109 nsel,a,node,,113 nsel,a,node,,118 nsel,a,node,,120 nsel,a,node,,128 nsel,a,node,,134 cm,group2,node

2616



allsel nsel,,node,,44 nsel,a,node,,50 nsel,a,node,,52 nsel,a,node,,57 nsel,a,node,,136 nsel,a,node,,142 nsel,a,node,,146 cm,group3,node allsel nsel,,node,,63 nsel,a,node,,68 nsel,a,node,,73 nsel,a,node,,75 nsel,a,node,,88 nsel,a,node,,90 nsel,a,node,,95,97 nsel,a,node,,150 nsel,a,node,,158 nsel,a,node,,166 nsel,a,node,,170 nsel,a,node,,177 nsel,a,node,,193,195 cm,group4,node allsel,all,all /com,----------------------------------------------------------------------------------! -- Support Group 1 - spectrum 1 (Along X - Direction) sed,1,,,group1 pfact,1 sed,0,,,group1 ! -- Support Group 1 - spectrum 2 (Along Y - Direction) sed,,1,,group1 pfact,2 sed,,0,,group1 ! -- Support Group 1 - spectrum 3 (Along Z - Direction) sed,,,1,group1 pfact,3 sed,,,0,group1 ! -- Support Group 2 - spectrum 4 (Along X - Direction) sed,1,,,group2 pfact,4 sed,0,,,group2 ! -- Support Group 2 - spectrum 5 (Along Y - Direction) sed,,1,,group2 pfact,5 sed,,0,,group2 ! -- Support Group 2 - spectrum 6 (Along Z - Direction) sed,,,1,group2 pfact,6 sed,,,0,group2 ! -- Support Group 3 - spectrum 7 (Along X - Direction) sed,1,,,group3 pfact,7 sed,0,,,group3 ! -- Support Group 3 - spectrum 8 (Along Y - Direction) sed,,1,,group3 pfact,8 sed,,0,,group3


2617

NRC Piping Benchmarks Input Listings ! -- Support Group 3 - spectrum 9 (Along Z - Direction) sed,,,1,group3 pfact,9 sed,,,0,group3 ! -- Support Group 4 - spectrum 10 (Along X - Direction) sed,1,,,group4 pfact,10 sed,0,,,group4 ! -- Support Group 4 - spectrum 11 (Along Y - Direction) sed,,1,,group4 pfact,11 sed,,0,,group4 ! -- Support Group 4 - spectrum 12 (Along Z - Direction) sed,,,1,group4 pfact,12 sed,,,0,group4 ! ***************************************************** srss,0.00010,,yes ! activate Absolute Sum solve finish /com,----------------------------------------------------------------------------------/post1 /input,,mcom /com,----------------------------------/com, *Labels* *dim,label2,char,1,6 *dim,label3,char,6,1 *dim,label4,char,6,1 *dim,label5,char,22,1 /com,------------------------label2(1,1) label2(1,2) label2(1,3) label2(1,4) label2(1,5) label2(1,6)


/com,----------------------label3(1,1)='PX(I)' label3(2,1)='VY(I)' label3(3,1)='VZ(I)' label3(4,1)='TX(I)' label3(5,1)='MY(I)' label3(6,1)='MZ(I)' /com,----------------------label4(1,1)='PX(J)' label4(2,1)='VY(J)' label4(3,1)='VZ(J)' label4(4,1)='TX(J)' label4(5,1)='MY(J)' label4(6,1)='MZ(J)' /com,----------------------------------/com,------------------------------------------------------------------------------------

2618


vm-nr1677-2-4c-a Input Listing /com, /com,======================================================== /com, Maximum nodal displacements and rotations comparsion /com,======================================================== /com, /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,182,U,X *GET,AdisY,NODE,155,U,Y *GET,AdisZ,NODE,143,U,Z *GET,ArotX,NODE,143,ROT,X *GET,ArotY,NODE,149,ROT,Y *GET,ArotZ,NODE,155,ROT,Z /com, /com, Expected results from NRC manual /com, ********************************* *SET,EdisX,6.88420e-01 *SET,EdisY,2.59046e-01 *SET,EdisZ,6.24744e-01 *SET,ErotX,5.30052e-03 *SET,ErotY,7.86745e-03 *SET,ErotZ,2.81817e-03 /com, /com, Error computation /com,******************** ERdisX=ABS(AdisX/EdisX) ERdisY=ABS(AdisY/EdisY) ERdisZ=ABS(AdisZ/EdisZ) ERrotX=ABS((ArotX)/(ErotX)) ERrotY=ABS((ArotY)/(ErotY)) ERrotZ=ABS((ArotZ)/(ErotZ)) *dim,value,,6,3 *vfill,value(1,1),data,EdisX *vfill,value(1,2),data,AdisX *vfill,value(1,3),data,ERdisX *vfill,value(2,1),data,EdisY *vfill,value(2,2),data,AdisY *vfill,value(2,3),data,ERdisY *vfill,value(3,1),data,EdisZ *vfill,value(3,2),data,AdisZ *vfill,value(3,3),data,ERdisZ *vfill,value(4,1),data,ErotX *vfill,value(4,2),data,ArotX *vfill,value(4,3),data,ERrotX *vfill,value(5,1),data,ErotY *vfill,value(5,2),data,ArotY *vfill,value(5,3),data,ERrotY *vfill,value(6,1),data,ErotZ *vfill,value(6,2),data,ArotZ *vfill,value(6,3),data,ERrotZ save,table_2 /com,-----------------------------------------------------------------------------------/com, /com,============================== /com, Reaction forces comparision /com,==============================


2619

NRC Piping Benchmarks Input Listings /com, *dim,Areac,,36 *dim,Ereac,,36 *dim,ERreac,,36 *dim,Nreac,STRING,8,36 Nreac(1,1) Nreac(1,2) Nreac(1,3) Nreac(1,4) Nreac(1,5)

= = = = =

'FX1' 'FY1' 'FZ1' 'FY17' 'FY29'

Nreac(1,6) = 'FZ37' Nreac(1,7) = 'FX43' Nreac(1,8) = 'FY49' Nreac(1,9) = 'FZ51' Nreac(1,10) = 'FX56' Nreac(1,11) Nreac(1,12) Nreac(1,13) Nreac(1,14) Nreac(1,15)

= = = = =

'FY62' 'FZ67' 'FY72' 'FZ74' 'FY87'


= = = = =

'FY89' 'FX94' 'FY94' 'FZ94' 'FY108'


= = = = =

'FX112' 'FZ117' 'FY119' 'FZ127' 'FY133'


= = = = =

'FZ135' 'FX141' 'FZ145' 'FY149' 'FY157'

Nreac(1,31) Nreac(1,32) Nreac(1,33) Nreac(1,34) Nreac(1,35) Nreac(1,36)

= = = = = =

'FX165' 'FY169' 'FY188' 'FX192' 'FY192' 'FZ192'

*GET,Areac(1),NODE,2,RF,FX *GET,Areac(2),NODE,3,RF,FY *GET,Areac(3),NODE,4,RF,FZ *GET,Areac(4),NODE,18,RF,FY *GET,Areac(5),NODE,30,RF,FY *GET,Areac(6),NODE,38,RF,FZ *GET,Areac(7),NODE,44,RF,FX *GET,Areac(8),NODE,50,RF,FY *GET,Areac(9),NODE,52,RF,FX *GET,Areac(10),NODE,57,RF,FX *GET,Areac(11),NODE,63,RF,FY *GET,Areac(12),NODE,68,RF,FX *GET,Areac(13),NODE,73,RF,FY *GET,Areac(14),NODE,75,RF,FX *GET,Areac(15),NODE,88,RF,FY *GET,Areac(16),NODE,90,RF,FY *GET,Areac(17),NODE,95,RF,FX *GET,Areac(18),NODE,96,RF,FY *GET,Areac(19),NODE,97,RF,FZ

2620


vm-nr1677-2-4c-a Input Listing *GET,Areac(20),NODE,109,RF,FY *GET,Areac(21),NODE,113,RF,FX *GET,Areac(22),NODE,118,RF,FX *GET,Areac(23),NODE,120,RF,FY *GET,Areac(24),NODE,128,RF,FX *GET,Areac(25),NODE,134,RF,FY *GET,Areac(26),NODE,136,RF,FX *GET,Areac(27),NODE,142,RF,FX *GET,Areac(28),NODE,146,RF,FZ *GET,Areac(29),NODE,150,RF,FY *GET,Areac(30),NODE,158,RF,FY *GET,Areac(31),NODE,166,RF,FX *GET,Areac(32),NODE,170,RF,FY *GET,Areac(33),NODE,177,RF,FY *GET,Areac(34),NODE,193,RF,FX *GET,Areac(35),NODE,194,RF,FY *GET,Areac(36),NODE,195,RF,FZ *VFILL,Ereac,DATA,3033,2119,1917,34,2018,3482,4132.177,2970,2882.485,1739.497 *VFILL,Ereac(11),DATA,47,6205.159,2469,6490.198,97,4444,2944,4206,823,51 *VFILL,Ereac(21),DATA,1887,1752.225,914,1258.628,703,626.592,1363.724,2031,1182,86 *VFILL,Ereac(31),DATA,3972.166,1058,665,834,431,2296 *do,i,1,36 ERreac(i) = abs(Areac(i)/Ereac(i)) *enddo save,table_4 /com,-----------------------------------------------------------------------------------/com,======================================================== /com, Element Forces and Moments Comparison /com,======================================================== /com, Solution obtained from Mechanical APDL /com,****************************** *dim,elem_res_I,,1,6 *dim,elem_res_J,,1,6 *dim,pxi,,1 *dim,vyi,,1 *dim,vzi,,1 *dim,txi,,1 *dim,myi,,1 *dim,mzi,,1 *dim,pxj,,1 *dim,vyj,,1 *dim,vzj,,1 *dim,txj,,1 *dim,myj,,1 *dim,mzj,,1 esel,s,ename,,16 esel,a,ename,,18 /com,========== /com, Node I /com,========== /com, Element #1 /com,************ *get,pxi(1,1),elem,1,smisc,1 *get,vyi(1,1),elem,1,smisc,2 *get,vzi(1,1),elem,1,smisc,3 *get,txi(1,1),elem,1,smisc,4


2621

NRC Piping Benchmarks Input Listings *get,myi(1,1),elem,1,smisc,5 *get,mzi(1,1),elem,1,smisc,6 *vfill,elem_res_I(1,1),data,pxi(1,1) *vfill,elem_res_I(1,2),data,vyi(1,1) *vfill,elem_res_I(1,3),data,vzi(1,1) *vfill,elem_res_I(1,4),data,txi(1,1) *vfill,elem_res_I(1,5),data,myi(1,1) *vfill,elem_res_I(1,6),data,mzi(1,1) /com,========== /com, Node J /com,========== /com, Element #1 /com,************ *get,pxj(1,1),elem,1,smisc,7 *get,vyj(1,1),elem,1,smisc,8 *get,vzj(1,1),elem,1,smisc,9 *get,txj(1,1),elem,1,smisc,10 *get,myj(1,1),elem,1,smisc,11 *get,mzj(1,1),elem,1,smisc,12 *vfill,elem_res_J(1,1),data,pxj(1,1) *vfill,elem_res_J(1,2),data,vyj(1,1) *vfill,elem_res_J(1,3),data,vzj(1,1) *vfill,elem_res_J(1,4),data,txj(1,1) *vfill,elem_res_J(1,5),data,myj(1,1) *vfill,elem_res_J(1,6),data,mzj(1,1) /com,---------------------------------------------------------------------------/com, Results from NRC benchmarks /com, *************************** *dim,exp_I,,1,6 *dim,exp_J,,1,6 /com, Element #1 /com,************ *vfill,exp_I(1,1),data,2.021e+03 *vfill,exp_I(1,2),data,3.016e+03 *vfill,exp_I(1,3),data,2.045e+03 *vfill,exp_I(1,4),data,8.226e+04 *vfill,exp_I(1,5),data,2.007e+05 *vfill,exp_I(1,6),data,2.902e+05 *vfill,exp_J(1,1),data,2.021e+03 *vfill,exp_J(1,2),data,3.016e+03 *vfill,exp_J(1,3),data,2.045e+03 *vfill,exp_J(1,4),data,8.226e+04 *vfill,exp_J(1,5),data,1.721e+05 *vfill,exp_J(1,6),data,2.418e+05 /com,--------------------------------------------------------------------------/com, Error computation /com, ********************* *dim,elem_error_I,,1,6 *dim,elem_error_J,,1,6 *dim,elem_tab,,12,3 /com,============ /com, Node I /com,============ i = 1 *do,j,1,6 *vfill,elem_error_I(i,j),data,abs(elem_res_I(i,j)/exp_I(i,j))

2622


vm-nr1677-2-4c-a Input Listing *enddo /com,============ /com, Node J /com,============ i = 1 *do,j,1,6 *vfill,elem_error_J(i,j),data,abs(elem_res_J(i,j)/exp_J(i,j)) *enddo /com,-------------------------------------------------------------------------i = 1 cs=(i-1)*6 *do,j,1,6 n=cs+j *vfill,elem_tab(n,1),data,exp_I(i,j) *vfill,elem_tab(n,2),data,elem_res_I(i,j) *vfill,elem_tab(n,3),data,elem_error_I(i,j) *enddo *do,j,1,6 m=cs+j+6 *vfill,elem_tab(m,1),data,exp_J(i,j) *vfill,elem_tab(m,2),data,elem_res_J(i,j) *vfill,elem_tab(m,3),data,elem_error_J(i,j) *enddo save,table_3 /com,-----------------------------------------------------------------------------------/com,-----------------------------------------------------------------------------------/com, /out, /com, /com, ---------------------vm-nr1677-2-4c-a Results Verification---------------------------/com, /nopr resume,table_1 /gopr /out,vm-nr1677-2-4c-a,vrt /com, /com, =========================================== /com, COMPARISON OF MODAL FREQUENCY /com, WITH EXPECTED RESULTS /com, =========================================== /com, /com, Mode | Expected | Mechanical APDL | /com,

Ratio

*VWRITE,moden(1),Emode(1),Amode(1),ERmode(1) (1X,F3.0,2X,F8.4,3X,F8.4,3X,F4.2,' ') /com, /com,-----------------------------------------------------------------------------------/com, /nopr resume,table_2 /gopr /com, /com,====================================================


2623

NRC Piping Benchmarks Input Listings /com, COMPARISON OF NODAL DISPLACEMENTS AND ROTATIONS /com, WITH EXPECTED RESULTS /com,==================================================== /com, /com, /com,


Ratio

*vwrite,label2(1,1),value(1,1),value(1,2),value(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,2),value(2,1),value(2,2),value(2,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,3),value(3,1),value(3,2),value(3,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,4),value(4,1),value(4,2),value(4,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,5),value(5,1),value(5,2),value(5,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label2(1,6),value(6,1),value(6,2),value(6,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /com, /com,------------------------------------------------------------------------/com, /nopr resume,table_4 /gopr /com, /com, ================================ /com, COMPARISON OF REACTIONS FORCES /com, ================================ /com, /com, /com,

Node

| Expected

| Mechanical APDL

|

Ratio

*VWRITE,Nreac(1),Ereac(1),Areac(1),ERreac(1) (5X,a,1X,F12.4,1X,F12.4,1X,F12.4,' ') /com, /com,-------------------------------------------------------------------------/com, /nopr resume,table_3 /gopr /com, /com,=============================================== /com, COMPARISON OF ELEMENT FORCES AND MOMENTS /com, WITH EXPECTED RESULTS /com,=============================================== /com, /com,-------------------------------------------------------/com, Note: Element Forces and Moments for some elements /com, along Y & Z directions are flipped between Mechanical APDL /com, and NRC results /com,-------------------------------------------------------/com, /com,


Ratio

/com,=============== /com, Element 1 /com,=============== /com,

2624


vm-nr6645-1-1a-a Input Listing *vwrite,label3(1,1),elem_tab(1,1),elem_tab(1,2),elem_tab(1,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, *vwrite,label4(1,1),elem_tab(7,1),elem_tab(7,2),elem_tab(7,3) (1x,a8,' ',f12.4,' ',f12.4,' ',f5.3) /com, /com,--------------------------------------------------------------------------------------/com, /out, *list,vm-nr1677-2-4c-a,vrt finish

vm-nr6645-1-1a-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr6645-1-1a-a /title,vm-nr6645-1-1a-a,NRC Piping Benchmark Problems,Volume 1,Method 1 /com,**************************************************************************** /com, /com, Reference: Reevaluation of Regulatory Guidance /com, on modal response combination methods /com, for seismic response spectrum analysis /com, NUREG/CR-6645 /com, R.Morante, Y.Wang /com, December 1999. /com, /com, Description: /com, Response spectrum analysis on BM3 piping model using 14 modes + missing mass /com, /com, Elements used: Pipe16, Pipe18,Combin14 /com, /com, Results comparsion: /com, The following results are compared against NRC piping benchmark values /com, 1. Frequencies obtained from modal solution. /com, 2. Reaction forces obtained from spectrum solution. SRSS, 1% damping /com, /com, Note: /com, The reaction moments are not compared since the rotational degrees of /com, freedom for curved pipe elements are not included in the lumped mass /com, matrix formulation. /com, /com,**************************************************************************** /out,scratch /prep7 youngmodulus = 2.9e+7 ! Young's modulus nu = 0.3 ! Poisson ratio shearmodulus = youngmodulus/(2*(1+nu)) ! Shear modulus et,1,pipe16 ! Pipe 16 r,1,3.500,0.2160 ! Outer dia, wall thickness mp,ex,1,youngmodulus mp,nuxy,1,nu mp,gxy,1,shearmodulus mp,dens,1,1.043e-3

! Material properties

et,2,pipe16 ! Pipe 16 r,2,4.500,0.2370 ! Outer dia, wall thickness mp,ex,2,youngmodulus



2625

NRC Piping Benchmarks Input Listings mp,nuxy,2,nu mp,gxy,2,shearmodulus mp,dens,2,1.107e-03 et,3,pipe16 ! Pipe 16 r,3,8.625,0.3220 ! Outer dia, wall thickness mp,ex,3,youngmodulus mp,nuxy,3,nu mp,gxy,3,shearmodulus mp,dens,3,1.253e-3


et,4,pipe18 ! Pipe 18 r,4,3.500,0.2160,4.500 ! Outer dia, wall thickness, radius of curvature mp,ex,4,youngmodulus mp,nuxy,4,nu mp,gxy,4,shearmodulus mp,dens,4,1.043e-3




et,6,pipe18 ! Pipe 18 r,6,8.625,0.3220,12.000 mp,ex,6,youngmodulus mp,nuxy,6,nu mp,gxy,6,shearmodulus mp,dens,6,1.253e-3

! Outer dia, wall thickness, radius of curvature


et,7,combin14 keyopt,7,2,1 r,7,1.0e+5

! COMBIN14 spring-damper element ! Longitudinal spring damper element (UX DOF) ! Spring constant


! COMBIN14 spring-damper element ! Longitudinal spring damper element (UY DOF) ! Spring constant


! COMBIN14 spring-damper element ! Longitudinal spring damper element (Uz DOF) ! Spring constant


! COMBIN14 spring-damper element ! Torsional spring damper element (ROTX DOF) ! Spring constant


! COMBIN14 spring-damper element ! Torsional spring damper element (ROTY DOF) ! Spring constant


! COMBIN14 spring-damper element ! Torsional spring damper element (ROTZ DOF) ! Spring constant

/com, ******************** /com, Nodes /com, ********************

n, n, n, n, n, n,

2626

1, 2, 3, 4, 5, 6,

15.000, 19.500, -4.500 19.500, -180.000 19.500, -199.500 19.500, -204.000,

4.500


vm-nr6645-1-1a-a Input Listing n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n,

7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38,

19.500, 24.000, 96.000, 254.000, 333.000, 411.000, 483.000, 487.500, 487.500, 487.500, 492.000, 575.000, 723.000, 727.500, 727.500, 727.500, 727.500, 733.500, 753.500, 845.500, 851.500, 851.500, 851.500, 851.500, 851.500, 727.500, 727.500, 727.500, 727.500, 739.500, 847.500, 955.500,

-204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -208.500, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -270.000, -360.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000,

139.500 144.000 144.000 144.000 144.000 144.000 144.000 148.500 192.000 235.500 240.000 240.000 240.000 240.000 240.000 205.000 190.000 184.000 184.000 184.000 178.000 160.000 142.000 136.000 136.000 255.000 270.000 306.000 414.000 426.000 426.000 426.000

/com, ******************** /com, Nodes for curvature /com, ******************** n, 203, n, 506, n, 708, n,1314, n,1617, n,1920, n,2324, n,2627, n,2930, n,3536,

15.000, 19.500, 24.000, 483.000, 492.000, 723.000, 733.500, 845.500, 851.500, 739.500,

-4.500 -199.500, -204.000, -204.000, -204.000, -208.500, -264.000, -264.000, -270.000, -264.000,

4.500 139.500 148.500 235.500 240.000 190.000 178.000 142.000 414.000

/com, *************************** /com, Nodes for elastic support /com, **************************** dist = 50.0 n,10001, n,20001, n,30001, n,10004, n,30004, n,20007, n,20011, n,30011, n,10015, n,20017, n,30017, n,10023, n,20023, n,10031, n,20031, n,30031, n,20036, n,30036,

! Visualization -dist

, , 19.500+dist, 19.500 , 19.500 , 333.000 , 333.000 , 487.500-dist, 492.000 , 492.000 , 727.500-dist, 727.500 , 851.500+dist, 851.500 , 851.500 , 739.500 , 739.500 ,

dist , -180.000 -180.000 , -204.000+dist, -204.000+dist, -204.000 , -204.000 , -204.000-dist, -204.000 , -264.000 , -264.000+dist, -360.000 , -360.000-dist, -360.000 , -264.000-dist, -264.000 ,

-dist -dist 139.500 144.000 144.000-dist 192.000 240.000 240.000-dist 190.000 190.000 136.000 136.000 136.000-dist 426.000 426.000-dist


2627

NRC Piping Benchmarks Input Listings n,10038, 955.500+dist, -264.000 , 426.000 n,20038, 955.500 , -264.000-dist, 426.000 n,30038, 955.500 , -264.000 , 426.000-dist

/com, ************************* /com, Straight pipe elements /com, ************************* type,1 real,1 mat,1 e, 1, 2 e, 3, 4 e, 4, 5 e, 6, 7 e, 8, 9 e, 9,10 e,10,11 e,11,12 e,12,13 e,14,15 e,15,16 e,17,18 e,18,19 e,20,21 type,2 real,2 mat,2 e,21,22 e,22,23 e,24,25 e,25,26 e,27,28 e,28,29 e,30,31 type,3 real,3 mat,3 e,21,32 e,32,33 e,33,34 e,34,35 e,36,37 e,37,38 /com, ******************** /com, Curved pipe elements /com, ********************* type,4 real,4 mat,4 e,2,3,203 e,5,6,506 e,7,8,708 e,13,14,1314 e,16,17,1617 e,19,20,1920 type,5 real,5 mat,5 e,23,24,2324 e,26,27,2627

2628


vm-nr6645-1-1a-a Input Listing e,29,30,2930 type,6 real,6 mat,6 e,35,36,3536 /com, **************************** /com, Elastic supports and anchors /com, **************************** type,7 real,8 e, 4,10004 real,7 e,15,10015 e,23,10023 real,9 e, 1,10001 e,31,10031 e,38,10038 type,8 real,8 e, 7,20007 e,11,20011 e,17,20017 e,23,20023 e,36,20036 real,9 e, 1,20001 e,31,20031 e,38,20038 type,9 real,8 e, 4,30004 real,7 e,11,30011 e,17,30017 e,36,30036 real,9 e, 1,30001 e,31,30031 e,38,30038 type,10 real,10 e, 1,10001 e,31,10031 e,38,10038 type,11 real,10 e, 1,20001 e,31,20031 e,38,20038 type,12 real,10 e, 1,30001 e,31,30031 e,38,30038


2629


/com, *************** /com, Constraints /com, *************** nsel,s,node,,10000,40000 d,all,all,0 allsel,all fini /com, **************** /com, Modal analysis /com, **************** /solu antype,modal modopt,lanb,14 lumpm,on mxpand,14,,,yes solve save *dim,label,,14 *dim,freq_ans,,14 *dim,freq_exp,,14 *dim,freq_err,,14

! Frequencies obtained from Mechanical APDL ! Frequencies obtained from reference

*do,i,1,14 label(i) = i *enddo *do,i,1,14 *get,freq_ans(i),mode,i,freq *enddo *vfill,freq_exp,data,2.91,4.39,5.52,5.70,6.98,7.34,7.88,10.30,11.06,11.23 *vfill,freq_exp(11),data,11.50,12.43,13.88,16.12 *stat,freq_ans *stat,freq_exp *do,i,1,14 freq_err(i) = abs(freq_ans(i))/(freq_exp(i)) *enddo save,table_1 fini /com, ********************** /com, Spectrum analysis /com, ********************** /solu antype,spectrum spopt,sprs,, svtype,2,386.4 srss,0.001,disp sed,1,0,0

! Single point response spectrum solve ! Seismic acceleration response ! SRSS mode combination, displacement solution

! Excitation in X direction

freq , 0.20, 0.30, 0.40, 0.50, 0.60, 0.70, 0.80, 0.90, 1.00 sv, 0.01, 0.06, 0.13, 0.13, 0.20, 0.35, 0.39, 0.37, 0.41, 0.76 freq , 1.10, 1.20, 1.30, 1.40, 1.50, 1.60, 1.70, 1.80, 1.90 sv, 0.01, 0.64, 0.59, 0.91, 1.03, 1.46, 0.95, 0.91, 1.61, 1.92 freq , 2.00, 2.10, 2.20, 2.30, 2.40, 2.50, 2.60, 2.70, 2.80 sv, 0.01, 1.57, 1.18, 2.65, 2.85, 3.26, 4.47, 4.75, 5.29, 7.44 freq , 2.90, 3.00, 3.15, 3.30, 3.45, 3.60, 3.80, 4.00, 4.20 sv, 0.01, 4.27, 4.61, 4.13, 3.96, 4.05, 2.44, 2.09, 2.29, 1.52

2630


vm-nr6645-1-1a-a Input Listing freq , 4.40, 4.60, 4.80, 5.00, 5.25, 5.50, 5.75, 6.00, 6.25 sv, 0.01, 1.34, 1.37, 1.36, 1.31, 1.69, 1.27, 1.04, 0.76, 0.76 freq , 6.50, 6.75, 7.00, 7.25, 7.50, 7.75, 8.00, 8.50, 9.00 sv, 0.01, 0.69, 0.70, 0.74, 0.70, 0.67, 0.66, 0.61, 0.75, 0.60 freq , 9.50,10.00,10.50,11.00,11.50,12.00,12.50,13.00,13.50 sv, 0.01, 0.69, 0.61, 0.70, 0.59, 0.61, 0.56, 0.59, 0.59, 0.59 freq ,14.00,14.50,15.00,16.00,17.00,18.00,20.00,22.00,25.00 sv, 0.01, 0.58, 0.59, 0.58, 0.55, 0.56, 0.55, 0.55, 0.55, 0.54 freq ,28.00,31.00,34.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 sv, 0.01, 0.54, 0.54, 0.54, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00

mmass,on,0.54 solve save fini

! Missing mass with ZPA = 0.54

/post1 /input,,mcom /com, ************************************* /com, Reaction forces obtained from Mechanical APDL /com, ************************************* *get,rf1_x,node,10001,rf,fx *get,rf1_y,node,20001,rf,fy *get,rf1_z,node,30001,rf,fz *get,rf4_x,node,10004,rf,fx *get,rf4_z,node,30004,rf,fz *get,rf7_y,node,20007,rf,fy *get,rf11_y,node,20011,rf,fy *get,rf11_z,node,30011,rf,fz *get,rf15_x,node,10015,rf,fx *get,rf17_y,node,20017,rf,fy *get,rf17_z,node,30017,rf,fz *get,rf36_y,node,20036,rf,fy *get,rf36_z,node,30036,rf,fz *get,rf38_x,node,10038,rf,fx *get,rf38_y,node,20038,rf,fy *get,rf38_z,node,30038,rf,fz *get,rf23_x,node,10023,rf,fx *get,rf23_y,node,20023,rf,fy *get,rf31_x,node,10031,rf,fx *get,rf31_y,node,20031,rf,fy *get,rf31_z,node,30031,rf,fz

*dim,label,char,1,21 *dim,value,,21,3 label(1,1) = 'fx1' label(1,2) = 'fy1' label(1,3) = 'fz1' label(1,4) = 'fx4' label(1,5) = 'fz4' label(1,6) = 'fy7' label(1,7) = 'fy11' label(1,8) = 'fz11' label(1,9) = 'fx15' label(1,10) = 'fy17' label(1,11) = 'fz17' label(1,12) = 'fy36' label(1,13) = 'fz36' label(1,14) = 'fx38' label(1,15) = 'fy38' label(1,16) = 'fz38'


2631

NRC Piping Benchmarks Input Listings label(1,17) label(1,18) label(1,19) label(1,20) label(1,21)

= = = = =

'fx23' 'fy23' 'fx31' 'fy31' 'fz31'

/com, ****************************************** /com, Reaction forces obtained from NRC /com, ******************************************

*vfill,value(1,1),data,43.71*1.10 *vfill,value(2,1),data,4.36*1.26 *vfill,value(3,1),data,1.60*4.74 *vfill,value(4,1),data,116.79*0.80 *vfill,value(5,1),data,20.01*3.77 *vfill,value(6,1),data,13.27*1.20 *vfill,value(7,1),data,13.31*1.48 *vfill,value(8,1),data,81.34*0.99 *vfill,value(9,1),data,731.47*0.60 *vfill,value(10,1),data,25.60*1.91 *vfill,value(11,1),data,65.36*1.22 *vfill,value(12,1),data,46.69*1.93 *vfill,value(13,1),data,42.12*2.02 *vfill,value(14,1),data,732.18*0.89 *vfill,value(15,1),data,43.44*1.21 *vfill,value(16,1),data,29.95*1.40 *vfill,value(17,1),data,259.59*1.02 *vfill,value(18,1),data,26.08*4.04 *vfill,value(19,1),data,55.05*0.92 *vfill,value(20,1),data,14.17*1.75 *vfill,value(21,1),data,16.08*1.97

*vfill,value(1,2),data,rf1_x *vfill,value(2,2),data,rf1_y *vfill,value(3,2),data,rf1_z *vfill,value(4,2),data,rf4_x *vfill,value(5,2),data,rf4_z *vfill,value(6,2),data,rf7_y *vfill,value(7,2),data,rf11_y *vfill,value(8,2),data,rf11_z *vfill,value(9,2),data,rf15_x *vfill,value(10,2),data,rf17_y *vfill,value(11,2),data,rf17_z *vfill,value(12,2),data,rf36_y *vfill,value(13,2),data,rf36_z *vfill,value(14,2),data,rf38_x *vfill,value(15,2),data,rf38_y *vfill,value(16,2),data,rf38_z *vfill,value(17,2),data,rf23_x *vfill,value(18,2),data,rf23_y *vfill,value(19,2),data,rf31_x *vfill,value(20,2),data,rf31_y *vfill,value(21,2),data,rf31_z

*vfill,value(1,3),data,abs(rf1_x/(43.71*1.10)) *vfill,value(2,3),data,abs(rf1_y/(4.36*1.26)) *vfill,value(3,3),data,abs(rf1_z/(1.60*4.74)) *vfill,value(4,3),data,abs(rf4_x/(116.79*0.80)) *vfill,value(5,3),data,abs(rf4_z/(20.01*3.77)) *vfill,value(6,3),data,abs(rf7_y/(13.27*1.20)) *vfill,value(7,3),data,abs(rf11_y/(13.31*1.48)) *vfill,value(8,3),data,abs(rf11_z/(81.34*0.99)) *vfill,value(9,3),data,abs(rf15_x/(731.47*0.60)) *vfill,value(10,3),data,abs(rf17_y/(25.60*1.91)) *vfill,value(11,3),data,abs(rf17_z/(65.36*1.22)) *vfill,value(12,3),data,abs(rf36_y/(46.69*1.93))

2632


vm-nr6645-1-1a-a Input Listing *vfill,value(13,3),data,abs(rf36_z/(42.12*2.02)) *vfill,value(14,3),data,abs(rf38_x/(732.18*0.89)) *vfill,value(15,3),data,abs(rf38_y/(43.44*1.21)) *vfill,value(16,3),data,abs(rf38_z/(29.95*1.40)) *vfill,value(17,3),data,abs(rf23_x/(259.59*1.02)) *vfill,value(18,3),data,abs(rf23_y/(26.08*4.04)) *vfill,value(19,3),data,abs(rf31_x/(55.05*0.92)) *vfill,value(20,3),data,abs(rf31_y/(14.17*1.75)) *vfill,value(21,3),data,abs(rf31_z/(16.08*1.97)) save,table_2 finish resume,table_1 /com, /out,vm-nr6645-1-1a-a,vrt /com, /com, /com, ----------------------vm-nr6645-1-1a-a Results comparsion------------------------/com, /com, /com, /com, | TARGET | Mechanical APDL | RATIO /com, /com, /com, ================================== /com, Frequencies from Modal analysis /com, ================================== *vwrite,label(1),freq_exp(1),freq_ans(1),freq_err(1) (1x,f3.0,4x,f10.4,4x,f10.4,4x,F5.3) /com, /com, /nopr, resume,table_2 /gopr /com, /com, /com, ============================================== /com, Reaction forces obtained from Spectrum solve /com, ============================================== /com, *vwrite,label(1,1),value(1,1),value(1,2),value(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,2),value(2,1),value(2,2),value(2,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,3),value(3,1),value(3,2),value(3,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,4),value(4,1),value(4,2),value(4,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,5),value(5,1),value(5,2),value(5,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,6),value(6,1),value(6,2),value(6,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,7),value(7,1),value(7,2),value(7,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,8),value(8,1),value(8,2),value(8,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,9),value(9,1),value(9,2),value(9,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,10),value(10,1),value(10,2),value(10,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,11),value(11,1),value(11,2),value(11,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,12),value(12,1),value(12,2),value(12,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,13),value(13,1),value(13,2),value(13,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,14),value(14,1),value(14,2),value(14,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,15),value(15,1),value(15,2),value(15,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)


2633

NRC Piping Benchmarks Input Listings *vwrite,label(1,16),value(16,1),value(16,2),value(16,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,17),value(17,1),value(17,2),value(17,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,18),value(18,1),value(18,2),value(18,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,19),value(19,1),value(19,2),value(19,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,20),value(20,1),value(20,2),value(20,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,21),value(21,1),value(21,2),value(21,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /nopr, /com, /com, /com, --------------------------------------------------------------------------/out, *list,vm-nr6645-1-1a-a,vrt finish

vm-nr6645-1-2a-a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr6645-1-2a-a /title,vm-nr6645-1-2a-a,NRC Piping Benchmark Problems,Volume 1,Method 2 /com,**************************************************************************** /com, /com, Reference: Reevaluation of Regulatory Guidance /com, on modal response combination methods /com, for seismic response spectrum analysis /com, NUREG/CR-6645 /com, R.Morante, Y.Wang /com, December 1999. /com, /com, Description: /com, Response spectrum analysis on BM3 piping model using 14 modes + missing mass /com, Lindley yow rigid response calculation /com, /com, /com, Elements used: Pipe16, Pipe18 and Combin14 /com, /com, Results comparsion: /com, The following results are compared against NRC piping benchmark values /com, 1. Frequencies obtained from modal solution. /com, 2. Reaction forces obtained from spectrum solution. SRSS, 1% damping /com, /com, Note: /com, The reaction moments are not compared since the rotational degrees of /com, freedom for curved pipe elements are not included in the lumped mass /com, matrix formulation. /com, /com,**************************************************************************** /out,scratch /prep7 youngmodulus = 2.9e+7 ! Young's modulus nu = 0.3 ! Poisson ratio shearmodulus = youngmodulus/(2*(1+nu)) ! Shear modulus et,1,pipe16 r,1,3.500,0.2160

! Pipe 16 ! Outer dia, wall thickness

mp,ex,1,youngmodulus mp,nuxy,1,nu mp,gxy,1,shearmodulus mp,dens,1,1.043e-3

2634




et,2,pipe16 r,2,4.500,0.2370


mp,ex,2,youngmodulus mp,nuxy,2,nu mp,gxy,2,shearmodulus mp,dens,2,1.107e-03 et,3,pipe16 r,3,8.625,0.3220



mp,ex,3,youngmodulus mp,nuxy,3,nu mp,gxy,3,shearmodulus mp,dens,3,1.253e-3




















/com, ******************** /com, Nodes /com, ********************

n,

1,


2635

NRC Piping Benchmarks Input Listings n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n,

2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38,

15.000, 19.500, 19.500, 19.500, 19.500, 19.500, 24.000, 96.000, 254.000, 333.000, 411.000, 483.000, 487.500, 487.500, 487.500, 492.000, 575.000, 723.000, 727.500, 727.500, 727.500, 727.500, 733.500, 753.500, 845.500, 851.500, 851.500, 851.500, 851.500, 851.500, 727.500, 727.500, 727.500, 727.500, 739.500, 847.500, 955.500,

-4.500 -180.000 -199.500 -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -208.500, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -270.000, -360.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000,

4.500 139.500 144.000 144.000 144.000 144.000 144.000 144.000 148.500 192.000 235.500 240.000 240.000 240.000 240.000 240.000 205.000 190.000 184.000 184.000 184.000 178.000 160.000 142.000 136.000 136.000 255.000 270.000 306.000 414.000 426.000 426.000 426.000

/com, ******************** /com, Nodes for curvature /com, ******************** n, 203, n, 506, n, 708, n,1314, n,1617, n,1920, n,2324, n,2627, n,2930, n,3536,

15.000, 19.500, 24.000, 483.000, 492.000, 723.000, 733.500, 845.500, 851.500, 739.500,

-4.500 -199.500, -204.000, -204.000, -204.000, -208.500, -264.000, -264.000, -270.000, -264.000,

4.500 139.500 148.500 235.500 240.000 190.000 178.000 142.000 414.000

/com, *************************** /com, Nodes for elastic support /com, **************************** dist = 50.0 n,10001, n,20001, n,30001, n,10004, n,30004, n,20007, n,20011, n,30011, n,10015, n,20017, n,30017, n,10023, n,20023,

2636


, , 19.500+dist, 19.500 , 19.500 , 333.000 , 333.000 , 487.500-dist, 492.000 , 492.000 , 727.500-dist, 727.500 ,

dist , -180.000 -180.000 , -204.000+dist, -204.000+dist, -204.000 , -204.000 , -204.000-dist, -204.000 , -264.000 , -264.000+dist,

-dist -dist 139.500 144.000 144.000-dist 192.000 240.000 240.000-dist 190.000 190.000


vm-nr6645-1-2a-a Input Listing n,10031, n,20031, n,30031, n,20036, n,30036, n,10038, n,20038, n,30038,

851.500+dist, 851.500 , 851.500 , 739.500 , 739.500 , 955.500+dist, 955.500 , 955.500 ,

-360.000 , -360.000-dist, -360.000 , -264.000-dist, -264.000 , -264.000 , -264.000-dist, -264.000 ,

136.000 136.000 136.000-dist 426.000 426.000-dist 426.000 426.000 426.000-dist

/com, ************************* /com, Straight pipe elements /com, ************************* type,1 real,1 mat,1 e, 1, 2 e, 3, 4 e, 4, 5 e, 6, 7 e, 8, 9 e, 9,10 e,10,11 e,11,12 e,12,13 e,14,15 e,15,16 e,17,18 e,18,19 e,20,21 type,2 real,2 mat,2 e,21,22 e,22,23 e,24,25 e,25,26 e,27,28 e,28,29 e,30,31 type,3 real,3 mat,3 e,21,32 e,32,33 e,33,34 e,34,35 e,36,37 e,37,38 /com, ******************** /com, Curved pipe elements /com, ********************* type,4 real,4 mat,4 e,2,3,203 e,5,6,506 e,7,8,708 e,13,14,1314 e,16,17,1617 e,19,20,1920 type,5


2637

NRC Piping Benchmarks Input Listings real,5 mat,5 e,23,24,2324 e,26,27,2627 e,29,30,2930 type,6 real,6 mat,6 e,35,36,3536 /com, **************************** /com, Elastic supports and anchors /com, **************************** type,7 real,8 e, 4,10004 real,7 e,15,10015 e,23,10023 real,9 e, 1,10001 e,31,10031 e,38,10038 type,8 real,8 e, 7,20007 e,11,20011 e,17,20017 e,23,20023 e,36,20036 real,9 e, 1,20001 e,31,20031 e,38,20038 type,9 real,8 e, 4,30004 real,7 e,11,30011 e,17,30017 e,36,30036 real,9 e, 1,30001 e,31,30031 e,38,30038 type,10 real,10 e, 1,10001 e,31,10031 e,38,10038 type,11 real,10 e, 1,20001 e,31,20031 e,38,20038 type,12 real,10

2638



e, 1,30001 e,31,30031 e,38,30038

/com, *************** /com, Constraints /com, *************** nsel,s,node,,10000,40000 d,all,all,0 allsel,all fini /com, **************** /com, Modal analysis /com, **************** /solu antype,modal modopt,lanb,14 lumpm,on mxpand,14,,,yes solve save *dim,label,,14 *dim,freq_ans,,14 *dim,freq_exp,,14 *dim,freq_err,,14

! Frequencies obtained from Mechanical APDL ! Frequencies obtained from reference

*do,i,1,14 label(i) = i *enddo *do,i,1,14 *get,freq_ans(i),mode,i,freq *enddo *vfill,freq_exp,data,2.91,4.39,5.52,5.70,6.98,7.34,7.88,10.30,11.06,11.23 *vfill,freq_exp(11),data,11.50,12.43,13.88,16.12 *stat,freq_ans *stat,freq_exp *do,i,1,14 freq_err(i) = abs(freq_ans(i))/(freq_exp(i)) *enddo save,table_1 fini /com, ********************** /com, Spectrum analysis /com, ********************** /solu antype,spectrum spopt,sprs,, svtype,2,386.4 srss,0.001,disp sed,1,0,0



freq , 0.20, 0.30, 0.40, 0.50, 0.60, 0.70, 0.80, 0.90, 1.00 sv, 0.01, 0.06, 0.13, 0.13, 0.20, 0.35, 0.39, 0.37, 0.41, 0.76 freq , 1.10, 1.20, 1.30, 1.40, 1.50, 1.60, 1.70, 1.80, 1.90 sv, 0.01, 0.64, 0.59, 0.91, 1.03, 1.46, 0.95, 0.91, 1.61, 1.92 freq

, 2.00, 2.10, 2.20, 2.30, 2.40, 2.50, 2.60, 2.70, 2.80


2639

NRC Piping Benchmarks Input Listings sv, 0.01, 1.57, 1.18, 2.65, 2.85, 3.26, 4.47, 4.75, 5.29, 7.44 freq , 2.90, 3.00, 3.15, 3.30, 3.45, 3.60, 3.80, 4.00, 4.20 sv, 0.01, 4.27, 4.61, 4.13, 3.96, 4.05, 2.44, 2.09, 2.29, 1.52 freq , 4.40, 4.60, 4.80, 5.00, 5.25, 5.50, 5.75, 6.00, 6.25 sv, 0.01, 1.34, 1.37, 1.36, 1.31, 1.69, 1.27, 1.04, 0.76, 0.76 freq , 6.50, 6.75, 7.00, 7.25, 7.50, 7.75, 8.00, 8.50, 9.00 sv, 0.01, 0.69, 0.70, 0.74, 0.70, 0.67, 0.66, 0.61, 0.75, 0.60 freq , 9.50,10.00,10.50,11.00,11.50,12.00,12.50,13.00,13.50 sv, 0.01, 0.69, 0.61, 0.70, 0.59, 0.61, 0.56, 0.59, 0.59, 0.59 freq ,14.00,14.50,15.00,16.00,17.00,18.00,20.00,22.00,25.00 sv, 0.01, 0.58, 0.59, 0.58, 0.55, 0.56, 0.55, 0.55, 0.55, 0.54 freq ,28.00,31.00,34.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 sv, 0.01, 0.54, 0.54, 0.54, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00

mmass,on,0.54 ! Missing mass with ZPA = 0.54 rigresp,on,lindley,0.54 ! Rigid response using Lindley approach solve save fini

/post1 /input,,mcom /com, ************************************* /com, Reaction forces obtained from Mechanical APDL /com, ************************************* *get,rf1_x,node,10001,rf,fx *get,rf1_y,node,20001,rf,fy *get,rf1_z,node,30001,rf,fz *get,rf4_x,node,10004,rf,fx *get,rf4_z,node,30004,rf,fz *get,rf7_y,node,20007,rf,fy *get,rf11_y,node,20011,rf,fy *get,rf11_z,node,30011,rf,fz *get,rf15_x,node,10015,rf,fx *get,rf17_y,node,20017,rf,fy *get,rf17_z,node,30017,rf,fz *get,rf36_y,node,20036,rf,fy *get,rf36_z,node,30036,rf,fz *get,rf38_x,node,10038,rf,fx *get,rf38_y,node,20038,rf,fy *get,rf38_z,node,30038,rf,fz *get,rf23_x,node,10023,rf,fx *get,rf23_y,node,20023,rf,fy *get,rf31_x,node,10031,rf,fx *get,rf31_y,node,20031,rf,fy *get,rf31_z,node,30031,rf,fz

*dim,label,char,1,21 *dim,value,,21,3 label(1,1) = 'fx1' label(1,2) = 'fy1' label(1,3) = 'fz1' label(1,4) = 'fx4' label(1,5) = 'fz4' label(1,6) = 'fy7' label(1,7) = 'fy11' label(1,8) = 'fz11' label(1,9) = 'fx15' label(1,10) = 'fy17'

2640


vm-nr6645-1-2a-a Input Listing label(1,11) label(1,12) label(1,13) label(1,14) label(1,15) label(1,16) label(1,17) label(1,18) label(1,19) label(1,20) label(1,21)

= = = = = = = = = = =

'fz17' 'fy36' 'fz36' 'fx38' 'fy38' 'fz38' 'fx23' 'fy23' 'fx31' 'fy31' 'fz31'

/com, ****************************************** /com, Reaction forces obtained from NRC /com, ******************************************

*vfill,value(1,1),data,43.71*1.06 *vfill,value(2,1),data,4.36*0.85 *vfill,value(3,1),data,1.60*2.21 *vfill,value(4,1),data,116.79*0.80 *vfill,value(5,1),data,20.01*1.81 *vfill,value(6,1),data,13.27*1.05 *vfill,value(7,1),data,13.31*1.14 *vfill,value(8,1),data,81.34*0.87 *vfill,value(9,1),data,731.47*0.81 *vfill,value(10,1),data,25.60*1.42 *vfill,value(11,1),data,65.36*0.97 *vfill,value(12,1),data,46.69*1.35 *vfill,value(13,1),data,42.12*1.28 *vfill,value(14,1),data,732.18*1.05 *vfill,value(15,1),data,43.44*1.10 *vfill,value(16,1),data,29.95*1.27 *vfill,value(17,1),data,259.59*1.32 *vfill,value(18,1),data,26.08*2.14 *vfill,value(19,1),data,55.05*1.02 *vfill,value(20,1),data,14.17*1.26 *vfill,value(21,1),data,16.08*1.43

*vfill,value(1,2),data,rf1_x *vfill,value(2,2),data,rf1_y *vfill,value(3,2),data,rf1_z *vfill,value(4,2),data,rf4_x *vfill,value(5,2),data,rf4_z *vfill,value(6,2),data,rf7_y *vfill,value(7,2),data,rf11_y *vfill,value(8,2),data,rf11_z *vfill,value(9,2),data,rf15_x *vfill,value(10,2),data,rf17_y *vfill,value(11,2),data,rf17_z *vfill,value(12,2),data,rf36_y *vfill,value(13,2),data,rf36_z *vfill,value(14,2),data,rf38_x *vfill,value(15,2),data,rf38_y *vfill,value(16,2),data,rf38_z *vfill,value(17,2),data,rf23_x *vfill,value(18,2),data,rf23_y *vfill,value(19,2),data,rf31_x *vfill,value(20,2),data,rf31_y *vfill,value(21,2),data,rf31_z

*vfill,value(1,3),data,abs(rf1_x/(43.71*1.06)) *vfill,value(2,3),data,abs(rf1_y/(4.36*0.85)) *vfill,value(3,3),data,abs(rf1_z/(1.60*2.21)) *vfill,value(4,3),data,abs(rf4_x/(116.79*0.90)) *vfill,value(5,3),data,abs(rf4_z/(20.01*1.81)) *vfill,value(6,3),data,abs(rf7_y/(13.27*1.05))


2641

NRC Piping Benchmarks Input Listings *vfill,value(7,3),data,abs(rf11_y/(13.31*1.14)) *vfill,value(8,3),data,abs(rf11_z/(81.34*0.87)) *vfill,value(9,3),data,abs(rf15_x/(731.47*0.81)) *vfill,value(10,3),data,abs(rf17_y/(25.60*1.42)) *vfill,value(11,3),data,abs(rf17_z/(65.36*0.97)) *vfill,value(12,3),data,abs(rf36_y/(46.69*1.35)) *vfill,value(13,3),data,abs(rf36_z/(42.12*1.28)) *vfill,value(14,3),data,abs(rf38_x/(732.18*1.05)) *vfill,value(15,3),data,abs(rf38_y/(43.44*1.10)) *vfill,value(16,3),data,abs(rf38_z/(29.95*1.27)) *vfill,value(17,3),data,abs(rf23_x/(259.59*1.32)) *vfill,value(18,3),data,abs(rf23_y/(26.08*2.14)) *vfill,value(19,3),data,abs(rf31_x/(55.05*1.02)) *vfill,value(20,3),data,abs(rf31_y/(14.17*1.26)) *vfill,value(21,3),data,abs(rf31_z/(16.08*1.43)) save,table_2 finish resume,table_1 /com, /out,vm-nr6645-1-2a-a,vrt /com, /com, /com, ----------------------vm-nr6645-1-2a-a Results comparsion------------------------/com, /com, /com, /com, | TARGET | Mechanical APDL | RATIO /com, /com, /com, ================================== /com, Frequencies from Modal analysis /com, ================================== *vwrite,label(1),freq_exp(1),freq_ans(1),freq_err(1) (1x,f3.0,4x,f10.4,4x,f10.4,4x,F5.3) /com, /com, /nopr, resume,table_2 /gopr /com, /com, /com, ============================================== /com, Reaction forces obtained from Spectrum solve /com, ============================================== /com, *vwrite,label(1,1),value(1,1),value(1,2),value(1,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,2),value(2,1),value(2,2),value(2,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,3),value(3,1),value(3,2),value(3,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,4),value(4,1),value(4,2),value(4,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,5),value(5,1),value(5,2),value(5,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,6),value(6,1),value(6,2),value(6,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,7),value(7,1),value(7,2),value(7,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,8),value(8,1),value(8,2),value(8,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,9),value(9,1),value(9,2),value(9,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,10),value(10,1),value(10,2),value(10,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,11),value(11,1),value(11,2),value(11,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,12),value(12,1),value(12,2),value(12,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3)

2642


vm-nr1677-01-1a Input Listing *vwrite,label(1,13),value(13,1),value(13,2),value(13,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,14),value(14,1),value(14,2),value(14,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,15),value(15,1),value(15,2),value(15,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,16),value(16,1),value(16,2),value(16,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,17),value(17,1),value(17,2),value(17,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,18),value(18,1),value(18,2),value(18,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,19),value(19,1),value(19,2),value(19,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,20),value(20,1),value(20,2),value(20,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) *vwrite,label(1,21),value(21,1),value(21,2),value(21,3) (1x,a8,' ',f10.4,' ',f10.4,' ',f5.3) /nopr, /com, /com, /com, --------------------------------------------------------------------------/out, *list,vm-nr6645-1-2a-a,vrt finish

vm-nr1677-01-1a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-01-1a /title,vm-nr1677-01-1a,NRC Piping Benchmark Problems,Volume 1,Problem 1 /com,**************************************************************************** /com, /com, Reference: Piping Benchmark Problems /com, NUREG/CR--1677-Vol.1 /com, P.Bezier, M.Hartzman, M.Reich /com, August 1980 /com, /com, Elements used: Pipe289, Elbow290, Mass21 /com, /com, Results: /com, The following results are outputted /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum nodal displacements and rotations obtained from spectrum solution. /com, 3. Element forces and moments obtained from spectrum solution. /com, /com,**************************************************************************** /out,scratch /prep7 et,1,pipe289 et,2,elbow290,,6 et,3,mass21

! Element 1 - PIPE289 using cubic shape function ! Element 2 - ELBOW290 ! Element 3 - MASS21

keyopt,3,3,2

! 3-D Mass without Rotary Inertia

/com, Real Constants /com,**************** sectype,1,pipe secdata,7.289,0.241,24 /com, Keypoints /com,******* k,1,0.0,0.0,0.0 k,2,0.0,54.45,0.0 k,3,0.0,108.9,0.0


2643

NRC Piping Benchmarks Input Listings k,4,10.632,134.568,0.0 k,5,36.3,145.2,0.0 k,6,54.15,145.2,0.0 k,7,72.0,145.2,0.0 k,8,97.668,145.2,10.632 k,9,108.3,145.2,36.3 k,10,108.3,145.2,56.80 k,11,108.3,145.2,77.3 k,12,2.7631,122.79,0 k,13,22.408,142.44,0 k,14,85.9,145,2.76 k,15,106,145,22.4 /com, Straight Pipe (Tangent Elements) /com,********************************** type,1 mat,1 secnum,1 l,1,2 l,2,3 l,5,6 l,6,7 l,9,10 l,10,11 !Line number 6 /com, Bend Pipe Elements /com,********************************** larch,3,4,12 larch,4,5,13 larch,7,8,14 larch,8,9,15

!Line number 7

!line number 10

mp,ex,1,24e6 mp,nuxy,1,0.3 /com, ********************************** /com, Meshing for Straight pipe /com, ********************************** type,1 secnum,1 mat,1 lsel,s,line,,1,6 allsel,below,line lesize,all,,,2 lmesh,all allsel,all,all /com, ********************************** /com, Meshing for bend pipe /com, ********************************** type,2 secnum,1 mat,1 lsel,s,,,7,14 allsel,below,line lesize,all,,,2 lmesh,all allsel,all,all /com, Real constants for mass element /com, ******************************* r,12,0.03988

2644


vm-nr1677-01-1a Input Listing r,13,0.05032 r,14,0.02088 r,15,0.01698 r,16,0.01307 r,17,0.01698 r,18,0.01044 r,19,0.01795 r,20,0.01501

/com, Mass Elements /com,*************** type,3 real,12 e,2 real,13 e,6 real,14 e,28 real,15 e,10 real,16 e,11 real,17, e,15 real,18 e,35 real,19 e,19 real,20 e,20 allsel,all,all /com, ************************************************************ /com, Using ELBOW, to convert some PIPE289 into ELBOW290 /com, ************************************************************ elbow,on,,,sect /com,************* /com, Constraints /com,************* dk,1,all,0 dk,11,all,0 allsel,all save finish /com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal modopt,lanb,5 mxpand,,,,yes solve finish

! LANB mode extraction method


2645

NRC Piping Benchmarks Input Listings save /post1 /out, /com, ******************************* /com, Frequencies from Modal solve /com, ******************************* set,list finish /com,---------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /out,scratch /solution antype,spectr spopt,sprs dmprat,0.02 grp,0.001 svtyp,2

! Perform ! ! ! ! Seismic

Spectrum Analysis Single Point Excitation Response Spectrum Constant Damping Ratio Group Modes based on significance level Acceleration Response Loading

sed,1 ! Excitation in X direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,533.2,467.2,443.6,380,289,239.4,192.6,184.1,145 solve sed,,1 ! Excitation in Y direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,266.7,580.7,580.7,466.7,792,792,293.3,516.7,516.7 sv,0.02,355.5,311.5,295.7,253.3,192.7,159.6,128.4,122.7,96.7 solve sed,,,1 ! Excitation in Z direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,533.2,467.2,443.6,380,289,239.4,192.6,184.1,145 solve fini /com,---------------------------------------------------------------------------/post1 /input,,mcom

/com, **************************** *GET,AdisX,NODE,10,U,X *GET,AdisY,NODE,36,U,Y *GET,AdisZ,NODE,28,U,Z *GET,ArotX,NODE,9,ROT,X *GET,ArotY,NODE,18,ROT,Y *GET,ArotZ,NODE,9,ROT,Z /out, /com, *======================================================== /com, * Maximum nodal displacements and rotations obtained from spectrum solution /com, *======================================================== *stat,AdisX *stat,AdisY *stat,AdisZ

2646


vm-nr1677-01-1a Input Listing *stat,ArotX *stat,ArotY *stat,ArotZ /com, *======================================================== /com, * Element Forces and Moments obtained from spectrum solution /com, *========================================================== /out,scratch /com,========== /com, Node I /com,==========

/com, Element #12 (Pipe289 elements) /com,************************

esel,s,elem,,12 etable,pxi_12,smisc,1 etable,vyi_12,smisc,6 etable,vzi_12,smisc,5 etable,txi_12,smisc,4 etable,myi_12,smisc,2 etable,mzi_12,smisc,3 esel,all /com, Element #14 (Elbow 290 elements) /com,************************* esel,s,elem,,14 etable,pxi_14,smisc,1 etable,vyi_14,smisc,6 etable,vzi_14,smisc,5 etable,txi_14,smisc,4 etable,myi_14,smisc,2 etable,mzi_14,smisc,3 esel,all

/com,========== /com, Node J /com,========== /com, Element #12 (Pipe289 elements) /com,************************ esel,s,elem,,12 etable,pxj_12,smisc,14 etable,vyj_12,smisc,19 etable,vzj_12,smisc,18 etable,txj_12,smisc,17 etable,myj_12,smisc,15 etable,mzj_12,smisc,16 esel,all

/com, Element #14 (Elbow290 elements) /com,************************ esel,s,elem,,14 etable,pxj_14,smisc,36 etable,vyj_14,smisc,41 etable,vzj_14,smisc,40 etable,txj_14,smisc,39 etable,myj_14,smisc,37 etable,mzj_14,smisc,38 esel,all allsel,all


2647


/out, /com, ********************************************** /com, Element forces and moments at element 12, node i /com, ************************************************ pretab,pxi_12,vyi_12,vzi_12,txi_12,myi_12,mzi_12 /com, ********************************************** /com, Element forces and moments at element 12, node j /com, ************************************************ pretab,pxj_12,vyj_12,vzj_12,txj_12,myj_12,mzj_12 /com, ********************************************** /com, Element forces and moments at element 14, node i /com, ************************************************ pretab,pxi_14,vyi_14,vzi_14,txi_14,myi_14,mzi_14 /com, ********************************************** /com, Element forces and moments at element 14, node j /com, ************************************************ pretab,pxj_14,vyj_14,vzj_14,txj_14,myj_14,mzj_14

/com,---------------------------------------------------------------------------/com, ***************************** /com, Reaction forces /com, ****************************** prrsol finish

vm-nr1677-01-2a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-01-2a /title,vm-nr1677-01-2a,NRC Piping Benchmark Problems,Volume 1,Problem 2 /com,******************************************************************************** /com, /com, Reference: Piping Benchmark Problems /com, NUREC/CR--1677-Vol.1 /com, P.Bezier, M.Hartzman, M.Reich /com, August 1980 /com, /com, Elements used: Pipe288, Mass21 /com, /com, Results : /com, The following results are outputted /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum nodal displacements and rotations obtained from spectrum solution. /com, 3. Element forces and moments obtained from spectrum solution. /com, /com,******************************************************************************** /out,scratch /prep7 et,1,pipe288,,,3 et,2,mass21

2648

! Element 1 - PIPE288 using cubic shape function ! Element 2 - MASS21


vm-nr1677-01-2a Input Listing /com, Real Constants /com,**************** sectype,1,pipe secdata,2.37500000,0.15400000,14

! Outer Diameter, Wall Thickness, Cells around the circumference

r,2,0.447000518e-01,0.447000518e-01,0.447000518e-01,0.0,0.0,0.0 r,3,0.447000518e-01,0.447000518e-01,0.447000518e-01,0.0,0.0,0.0 r,4,0.447000518e-01,0.447000518e-01,0.447000518e-01,0.0,0.0,0.0 r,5,0.447000518e-01,0.447000518e-01,0.447000518e-01,0.0,0.0,0.0 r,6,0.432699275e-01,0.432699275e-01,0.432699275e-01,0.0,0.0,0.0 r,7,0.893995859e-02,0.893995859e-02,0.893995859e-02,0.0,0.0,0.0 r,8,0.432699275e-01,0.432699275e-01,0.432699275e-01,0.0,0.0,0.0 r,9,0.893995859e-02,0.893995859e-02,0.893995859e-02,0.0,0.0,0.0 r,10,0.893995859e-02,0.893995859e-02,0.893995859e-02,0.0,0.0,0.0 r,11,0.432699275e-01,0.432699275e-01,0.432699275e-01,0.0,0.0,0.0 r,12,0.893995859e-02,0.893995859e-02,0.893995859e-02,0.0,0.0,0.0 r,13,0.432699275e-01,0.432699275e-01,0.432699275e-01,0.0,0.0,0.0 r,14,0.893995859e-02,0.893995859e-02,0.893995859e-02,0.0,0.0,0.0 r,15,0.893995859e-02,0.893995859e-02,0.893995859e-02,0.0,0.0,0.0 /com, Nodes /com,******* n,1,0.0,-30.00 n,2,27.25,-30.00 n,3,27.25,-30.00,17.250 n,4,0.0,-30.00,17.250 n,5,0.0,18.625,17.250 n,6,0.0,18.625,8.625 n,7,0.0,18.625 n,8,8.625,18.625, n,9,18.625,18.625 n,10,27.25,18.625 n,11,27.25,18.625,8.625 n,12,27.25,18.625,17.250 n,13,18.625,18.625,17.250 n,14,8.625,18.625,17.250 n,15,0.0,-80.00 n,16,27.25,-80.00 n,17,27.25,-80.00,17.250 n,18,0.0,-80.00,17.25

! Node Numbers, Global Co-ordinates

/com, Straight Pipe (Tangent Elements) /com,********************************** mat,1 type,1 secnum,1 en,1,15,1 en,2,1,7 en,3,7,6 en,4,6,5 en,5,5,4 en,6,4,18 en,7,16,2 en,8,2,10 en,9,10,11 en,10,11,12 en,11,12,3 en,12,3,17 en,13,12,13 en,14,13,14 en,15,14,5 en,16,7,8 en,17,8,9 en,18,9,10 /com, Mass Elements /com,***************


2649

NRC Piping Benchmarks Input Listings mat,1 type,2 real,2 en,19,1 real,3 en,20,2 real,4 en,21,3 real,5 en,22,4 real,6 en,23,5 real,7 en,24,6 real,8 en,25,7 real,9 en,26,8 real,10 en,27,9 real,11 en,28,10 real,12 en,29,11 real,13 en,30,12 real,14 en,31,13 real,15 en,32,14 nsel,s,node,,15 nsel,a,node,,16 nsel,a,node,,17 nsel,a,node,,18 cm,fixedsu,node allsel,all mp,ex,1,27899996.8 mp,nuxy,1,0.3 mp,dens,1,2.587991718e-10 /com, Constraints /com,************* d,15,all,0 d,16,all,0 d,17,all,0 d,18,all,0 save allsel,all finish /com, /com,============= /com, Modal Solve /com,============= /com,

2650


vm-nr1677-01-2a Input Listing

/solution antype,modal modopt,lanb,5 mxpand,,,,yes solve save finish

! Use LANB solver

/post1 /out, /com, ******************************* /com, Frequencies from Modal solve /com, ******************************* set,list finish /com,---------------------------------------------------------------------------/out,scratch /com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr spopt,sprs dmprat,0.02 grp,0.001 svtyp,2


Spectrum analysis Single Point Excitation Response Spectrum Constant Damping Ratio Group Modes based on Significance Level Acceleration Response Loading

sed,1 freq freq,3.1,4,5,5.8,7.1,8.8,11,14.1,17.2 freq,35,40,588 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,380,348.6,145 solve sed,,1 freq freq,3.1,4,5,5.8,7.1,8.8,11,14.1,17.2 freq,35,40,588 sv,0.02,266.7,580.7,580.7,466.7,792,792,293.3333,516.7,516.7 sv,0.02,253.3,232.4,96.7 solve sed,,,1 freq freq,3.1,4,5,5.8,7.1,8.8,11,14.1,17.2 freq,35,40,588 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,380,348.6,145 solve fini /com,---------------------------------------------------------------------------/post1 /input,,mcom

/out, /com, *================================================================= /com, * Maximum nodal displacements and rotations from spectrum solve /com, *================================================================= /out,scratch *GET,AdisX,NODE,6,U,X


2651

NRC Piping Benchmarks Input Listings *GET,AdisY,NODE,8,U,Y *GET,AdisZ,NODE,8,U,Z *GET,ArotX,NODE,1,ROT,X *GET,ArotY,NODE,9,ROT,Y *GET,ArotZ,NODE,1,ROT,Z /out, *stat,AdisX *stat,AdisY *stat,AdisZ *stat,ArotX *stat,ArotY *stat,ArotZ /com, *========================================================== /com, * Element Forces and Moments obtained from spectrum solve /com, *========================================================== /out,scratch /com,========== /com, Node I /com,========== /com, Element #1 (Pipe288 element) /com,******************************* esel,s,elem,,1 etable,pxi_1,smisc,1 etable,vyi_1,smisc,6 etable,vzi_1,smisc,5 etable,txi_1,smisc,4 etable,myi_1,smisc,2 etable,mzi_1,smisc,3 esel,all /out, /com, ********************************************** /com, Element forces and moments at element1, node i /com, ************************************************ pretab,pxi_1,vyi_1,vzi_1,txi_1,myi_1,mzi_1

/out,scratch /com,========== /com, Node J /com,========== /com, Element #1 (Pipe288 element) /com,******************************* esel,s,elem,,1 etable,pxj_1,smisc,14 etable,vyj_1,smisc,19 etable,vzj_1,smisc,18 etable,txj_1,smisc,17 etable,myj_1,smisc,15 etable,mzj_1,smisc,16 esel,all /out, /com, ********************************************** /com, Element forces and moments at element1, node j /com, ************************************************ pretab,pxj_1,vyj_1,vzj_1,txj_1,myj_1,mzj_1

/out,scratch

2652



/com,========== /com, Node I /com,========== /com, Element #18 (Pipe288 element) /com,******************************** esel,s,elem,,18 etable,pxi_18,smisc,1 etable,vyi_18,smisc,6 etable,vzi_18,smisc,5 etable,txi_18,smisc,4 etable,myi_18,smisc,2 etable,mzi_18,smisc,3 esel,all /out, /com, *************************************************** /com, Element forces and moments at element18, node i /com, *************************************************** pretab,pxi_18,vyi_18,vzi_18,txi_18,myi_18,mzi_18

/out,scratch /com,========== /com, Node J /com,==========

/com, Element #18 (Pipe288 element) /com,******************************** esel,s,elem,,18 etable,pxj_18,smisc,14 etable,vyj_18,smisc,19 etable,vzj_18,smisc,18 etable,txj_18,smisc,17 etable,myj_18,smisc,15 etable,mzj_18,smisc,16 esel,all allsel,all /out, /com, ************************************************** /com, Element forces and moments at element18, node j /com, ************************************************** pretab,pxj_18,vyj_18,vzj_18,txj_18,myj_18,mzj_18

/com,---------------------------------------------------------------------------/com, *************************************** /com, Reaction forces from spectrum solve /com, **************************************** prrsol finish

vm-nr1677-01-3a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-01-3a


2653

NRC Piping Benchmarks Input Listings /title,vm-nr1677-01-3a,NRC Piping Benchmark Problems,Volume 1,Problem 3 /com,**************************************************************************** /com, /com, Reference: Piping Benchmark Problems /com, NUREC/CR--1677-Vol.1 /com, P.Bezier, M.Hartzman, M.Reich /com, August 1980 /com, /com, Elements used: Pipe289, Elbow290, Mass21 /com, /com, Results: /com, The following results are outputted /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum nodal displacements and rotations obtained from spectrum solution. /com, 3. Element forces and moments obtained from spectrum solution. /com, /com,****************************************************************************

/out,scratch /prep7 et,1,pipe289,,,

! Element 1 - PIPE288 with cubic shape function

et,2,elbow290,,6

! Element 2 - ELBOW290


! Element 3 - COMBIN14 ! UX Degree of Freedom


! Element 4 - COMBIN14 ! UY Degree of Freedom


! Element 5 - COMBIN14 ! UZ Degree of Freedom

et,6,mass21 keyopt,6,3,2

! Element 6 - MASS21 ! 3D Mass with Rotary Inertia

/com, Material Properties /com,********************* mp,ex,1,24e6 mp,prxy,1,.3 mp,dens,1,0.001057 mp,ex,2,24e6 mp,prxy,2,.3 mp,dens,2,0.001057 /com, Real Constants /com,**************** sectype,1,pipe secdata,7.289,0.241,24

! Pipe section 1

r,3,0.1e+5 r,4,0.1e+9 r,5,0.1e+11 r,6,1.518

! ! ! !

Real Real Real Real

Constant Constant Constant Constant

Set Set Set Set

3 4 5 6

/com, Nodes /com,******* k,1,0,0,0 k,2,0,54.45,0 k,3,0,108.9,0 k,301,0.675,116,0 k,101,2.76,123,0 k,302,6.13,129,0 k,4,10.632,134.568,0

2654


vm-nr1677-01-3a Input Listing k,102,22.4,142,0 k,5,36.3,145.2,0 k,6,54.15,145.2,0 k,7,72.0,145.2,0 k,701,79.1,145,0.697 k,103,85.9,145,2.76 k,702,92.2,145,6.12 k,8,97.668,145.2,10.632 k,801,102,145,16.1 k,104,106,145,22.4 k,802,108,145,29.2 k,9,108.3,145.2,36.3 k,10,108.3,145.2,56.8 k,11,108.3,145.2,77.3 k,12,108.3,145.2,97.8 k,13,108.3,145.2,118.3 k,14,108.3,145.2,188.8 k,401,108,146,196 k,201,108,148,203 k,402,108,151,209 k,105,108,156,214 k,202,108,168,222 k,15,108.3,181.5,225.1 k,16,108.3,236,225.1 k,17,108.3,290,225.1 k,18,148.3,145.2,97.8 k,19,188.3,145.2,97.8 k,203,202,145,95.1 k,106,214,145,87.2 k,601,219,145,81.7 k,204,222,145,75.4 k,602,224,145,68.6 k,20,224.6,145.2,61.5 k,21,224.6,145.2,20 /com, Elastic support Nodes /com,*********************** k,22,1,0,0 k,23,0,1,0 k,24,0,0,1 k,25,72,145.2,-1 k,26,109.3,145.2,36.3 k,27,108.3,146.2,77.3 k,28,108.3,146.2,118.3 k,29,107.3,182.5,226.5 k,30,109.3,290,225.1 k,31,108.3,291,225.1 k,32,108.3,290,226.1 k,33,225.6,145.2,20 k,34,224.6,146.2,20 k,35,224.6,145.2,21 /com, Straight Pipe (Tangent Elements) /com,********************************** l,1,2 l,2,3 l,5,6 l,6,7 l,9,10 l,10,11 l,11,12 l,12,13 l,13,14 l,15,16 l,16,17 l,12,18 l,18,19 l,20,21

!Line #14

/com, Curved pipe elements


2655

NRC Piping Benchmarks Input Listings /com,********************** larch,3,101,301 !Line #15 larch,101,4,302 larch,4,5,102 larch,7,103,701 larch,103,8,702 larch,8,104,801 larch,104,9,802 larch,14,201,401 larch,201,105,402 larch,105,15,202 larch,19,106,203 larch,106,204,601 larch,204,20,602 !Line #27

/com, ********************************** /com, Meshing for Straight pipe /com, ********************************** type,1 secnum,1 mat,1 lsel,s,line,,1,14 allsel,below,line lesize,all,,,2 lmesh,all allsel,all,all /com, ********************************** /com, Meshing for bend pipe /com, ********************************** type,2 secnum,1 mat,1 lsel,s,,,15,27 allsel,below,line lesize,all,,,2 lmesh,all allsel,all,all /com, ************************************************************ /com, Using ELBOW, to convert some PIPE289 to ELBOW290 /com, ************************************************************ elbow,on,,,sect /com, Elastic supports and anchors l,11,27 l,13,28

!Line #28 !Line #29

real,3 type,4 lsel,s,,,28,29 allsel,below,line lesize,all,,,1 lmesh,all allsel l,9,26 !Line #30 l,15,29 !Line #31 real,4 type,3 lsel,s,,,30,31

2656


vm-nr1677-01-3a Input Listing allsel,below,line lesize,all,,,1 lmesh,all allsel

l,7,25 !Line #32 type,5 lsel,s,,,32 allsel,below,line lesize,all,,,1 lmesh,all allsel l,1,22 !Line #33 l,17,30 !Line #34 l,21,33 !Line #35 real,5 type,3 lsel,s,,,33,35 allsel,below,line lesize,all,,,1 lmesh,all allsel l,1,23 !Line #36 l,17,31 !Line #37 l,21,34 !Line #38 type,4 lsel,s,,,36,38 allsel,below,line lesize,all,,,1 lmesh,all allsel l,1,24 !Line #39 l,17,32 !Line #40 l,21,35 !Line #41 type,5 lsel,s,,,39,41 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,****************************** /com, **rotate nodes with less than 3 supports** wplane,,108.3,181.5,225.1,107.3,182.5,226.5,108.3,236,225.1 cswplane,11,0 nrotat,40 nrotat,113 csys,0

/com, Mass Elements /com,*************** type,6 real,6 e,18 /com, Constraints /com,************* ksel,s,kp,,22,35 nslk d,all,all


2657

NRC Piping Benchmarks Input Listings allsel,all

ksel,s,kp,,1 nslk d,all,rotx,,,,,roty,rotz allsel ksel,s,kp,,21 nslk d,all,rotx,,,,,roty,rotz allsel /com, Loading /com,********* /com, **Pressure on ELBOW290 elements affects stiffness because of pressure term** esel,s,ename,,290 sfe,all,1,pres,,350 allsel,all save finish /com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal modopt,lanb,10 mxpand,,,,yes lumpm,on solve save fini

! Perform Modal Analysis ! Expand solution with Element Calculations ON ! Use Lumped Mass Approximation

/post1 /out, /com, ******************************* /com, Frequencies from Modal solve /com, ******************************* set,list finish /out,scratch /com, /com,================ /com, Spectrum Solve /com,================ /com, /com, **Spectrum in X, Y, and Z directions** /com, **Spectra values in Y direction are 67% of the values for the X and Z directions** /solution antype,spectr spopt,sprs dmprat,0.02 grp,0.001 svtyp,2


sed,1 freq freq,3.1,4,5,5.81,7.09,8.77,9,10,10.99 freq,14.08,17.24,20,25,30,34.97,40,45,50 freq,588.93 sv,0.02,400,871,871,700,1188,1188,1090,733,440 sv,0.02,775,775,668,533,444,380,349,324,306 sv,0.02,145 solve

2658

Spectrum Analysis Single Point Excitation Response Spectrum Constant Damping Ratio Group Modes based on Significance Level Acceleration Response Loading




sed,,1 ! Excitation in Y direction freq freq,3.1,4,5,5.81,7.09,8.77,9,10,10.99 freq,14.08,17.24,20,25,30,34.97,40,45,50 freq,588.93 sv,0.02,267,581,581,467,792,792,727,489,293 sv,0.02,517,517,445,355,296,253,232,216,204 sv,0.02,97 solve sed,,,1 ! Excitation in Z direction freq freq,3.1,4,5,5.81,7.09,8.77,9,10,10.99 freq,14.08,17.24,20,25,30,34.97,40,45,50 freq,588.93 sv,0.02,400,871,871,700,1188,1188,1090,733,440 sv,0.02,775,775,668,533,444,380,349,324,306 sv,0.02,145 solve fini /post1 /input,,mcom *GET,AdisX,NODE,96,U,X *GET,AdisY,NODE,78,U,Y *GET,AdisZ,NODE,40,U,Z *GET,ArotX,NODE,84,ROT,X *GET,ArotY,NODE,76,ROT,Y *GET,ArotZ,NODE,10,ROT,Z /out, /com, *======================================================== /com, * Maximum nodal displacements and rotations comparsion /com, *======================================================== *stat,AdisX *stat,AdisY *stat,AdisZ *stat,ArotX *stat,ArotY *stat,ArotZ

/com, *======================================================== /com, * Element Forces and Moments Comparison /com, *========================================================== /out,scratch /com,========== /com, Node I /com,========== /com, Element #28 (Pipe289 elements) /com,************************

esel,s,elem,,28 etable,pxi_28,smisc,1 etable,vyi_28,smisc,6 etable,vzi_28,smisc,5 etable,txi_28,smisc,4 etable,myi_28,smisc,2 etable,mzi_28,smisc,3 esel,all /com, Element #50 (Elbow 290 elements) /com,************************* esel,s,elem,,50 etable,pxi_50,smisc,1 etable,vyi_50,smisc,6


2659

NRC Piping Benchmarks Input Listings etable,vzi_50,smisc,5 etable,txi_50,smisc,4 etable,myi_50,smisc,2 etable,mzi_50,smisc,3 esel,all


/com, Element #50 (Elbow290 elements) /com,************************ esel,s,elem,,50 etable,pxj_50,smisc,36 etable,vyj_50,smisc,41 etable,vzj_50,smisc,40 etable,txj_50,smisc,39 etable,myj_50,smisc,37 etable,mzj_50,smisc,38 esel,all allsel,all /out, /com, ********************************************** /com, Element forces and moments at element 28, node i /com, ************************************************ pretab,pxi_28,vyi_28,vzi_28,txi_28,myi_28,mzi_28 /com, ********************************************** /com, Element forces and moments at element 28, node j /com, ************************************************ pretab,pxj_28,vyj_28,vzj_28,txj_28,myj_28,mzj_28 /com, ********************************************** /com, Element forces and moments at element 50, node i /com, ************************************************ pretab,pxi_50,vyi_50,vzi_50,txi_50,myi_50,mzi_50 /com, ********************************************** /com, Element forces and moments at element 50, node j /com, ************************************************ pretab,pxj_50,vyj_50,vzj_50,txj_50,myj_50,mzj_50

/com,---------------------------------------------------------------------------/com, ***************************** /com, Reaction forces /com, ****************************** prrsol

2660



finish

vm-nr1677-01-4a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-01-4a /title,vm-nr1677-01-4a,NRC Piping Benchmark Problems,Volume 1,Problem 4 /com,**************************************************************************** /com, /com, Reference: Piping Benchmark Problems /com, NUREG/CR--1677-Vol.1 /com, P.Bezier, M.Hartzman, M.Reich /com, August 1980 /com, /com, Elements used: Pipe289, Elbow290, Mass21 /com, /com, Results: /com, The following results are outputted /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum nodal displacements and rotations obtained from spectrum solution. /com, 3. Element forces and moments obtained from spectrum solution. /com, /com,**************************************************************************** /out,scratch /prep7 et,2,combin14 et,3,pipe289,,, et,5,elbow290,,3 et,7,mass21

! ! ! !

COMBIN14 Spring-damper element Pipe288 element Elbow290 element Mass21 element

/com, Real Constants /com,**************** r, r, r,

1, 2, 3,

0.1000E+11, 50000000.0, 10000000.0,

0.00000000, 0.00000000, 0.00000000,

0.00000000, 0.00000000, 0.00000000,

0.00000000, 0.00000000, 0.00000000,

0.00000000, 0.00000000, 0.00000000,

0.000000 0.000000 0.000000

518.000000, 259.000000, 906.000000, 233.000000,

518.000000, 259.000000, 906.000000, 233.000000,

0.00000000, 0.00000000, 0.00000000, 0.00000000,

0.00000000, 0.00000000, 0.00000000, 0.00000000,

0.000000 0.000000 0.000000 0.000000

sectype,4,pipe secdata,144,3 sectype,5,pipe secdata,36,2.5,,,,

sectype,7,pipe secdata,48,3.75,,,,

sectype,9,pipe secdata,72,4 sectype,10,pipe secdata,192,8 sectype,11,pipe secdata,135,0.4 sectype,12,pipe secdata,100,0.38 r, r, r, r,

13, 14, 15, 16,

518.000000, 259.000000, 906.000000, 233.000000,


2661

NRC Piping Benchmarks Input Listings r, r, r, r, r,

17, 18, 19, 20, 21,

130.000000, 389.000000, 2073.00000, 1943.00000, 1295.00000,

130.000000, 389.000000, 2073.00000, 1943.00000, 1295.00000,

130.000000, 389.000000, 2073.00000, 1943.00000, 1295.00000,

0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000,

/com,---------------------------------------------------------------------------/com, /com, Keypoints /com,******* k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k,

2662

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60,

384.000000, 384.000000, 384.000000, 384.000000, 384.000000, 384.000000, 399.000000, 399.000000, 338.800000, 402.600000, 248.400000, 402.600000, 402.600000, 402.600000, 354.700000, 354.700000, 335.900000, 335.900000, 288.000000, 288.000000, 288.000000, 288.000000, 288.000000, 288.000000, 288.000000, 288.000000, 253.200000, 253.200000, 187.300000, 177.000000, 187.300000, 121.400000, 96.0000000, 121.400000, 94.6000000, 94.6000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, -94.6000000, -96.0000000, -94.6000000, -121.400000, -121.400000, -187.300000, -177.000000, -187.300000, -253.200000, -248.400000, -253.200000, -288.000000, -288.000000, -288.000000, -288.000000, -288.000000, -288.000000, -288.000000, -288.000000,

696.000000, 552.000000, 456.000000, 276.000000, 96.0000000, -180.000000, 26.9000000, 26.9000000, 42.1000000, -11.6000000,

-56.0000000 56.0000000 -69.5000000

-11.6000000, -72.0000000, -72.0000000, -132.000000, -132.000000, -132.000000, -132.000000, -72.0000000, -72.0000000, 0.00000000, 0.00000000, -180.000000, -180.000000, 126.000000, 126.000000, 0.00000000, 0.00000000, 0.00000000,

69.5000000 -69.5000000 69.5000000 -105.600000 105.600000 -119.900000 119.900000 -156.000000 156.000000 -156.000000 156.000000 -156.000000 156.000000 -156.000000 156.000000 -146.700000 146.700000 -128.500000

0.00000000, 0.00000000,

128.500000 -110.200000

0.00000000, 0.00000000, 0.00000000,

110.200000 -94.6000000 94.6000000

-192.000000, 84.0000000, 156.000000, 288.000000, 0.00000000,

-94.6000000

0.00000000, 0.00000000, 0.00000000, 0.00000000,

94.6000000 -110.200000 110.200000 -128.500000

0.00000000, 0.00000000,

128.500000 -146.700000

0.00000000, 0.00000000, 0.00000000, 126.000000, 126.000000, -180.000000, -180.000000, -72.0000000, -72.0000000,

146.700000 -156.000000 156.000000 -156.000000 156.000000 -156.000000 156.000000 -156.000000 156.000000


0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000,

0.00000000 0.00000000 0.00000000 0.00000000 0.00000000

vm-nr1677-01-4a Input Listing k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k,

61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 205, 206, 207, 208, 241, 242, 243, 244, 245, 246, 252, 253, 254, 255, 256, 257, 291, 292, 293, 294,

-335.900000, -335.900000, -354.700000, -354.700000, -402.600000, -402.600000, -402.600000, -402.600000, -399.000000, -338.800000, -399.000000, -384.000000, -384.000000, -384.000000, -384.000000, -384.000000, -384.000000, 387.131997, 248.496000, 387.131997, 354.700000, 354.700000, 335.900000, 335.900000, 137.244000, 137.244000, -137.244000, -137.244000, -335.900000, -335.900000, -354.700000, -354.700000, -387.164784, -248.538000, -387.164784, 383.000000, 384.000000, 385.000000, 384.000000, 95.6000000, 96.0000000, 93.6000000, 94.6000000, 96.0000000, 94.6000000, -94.6000000, -96.0000000, -94.6000000, -95.6000000, -96.0000000, -93.6000000, -383.000000, -385.000000, -384.000000, -384.000000,

-132.000000, -132.000000, -132.000000, -132.000000, -72.0000000, -72.0000000, -11.6000000, -11.6000000, 26.9000000, 42.1000000, 26.9000000, 96.0000000, -180.000000, 276.000000, 456.000000, 552.000000, 696.000000, -11.7130035, 117.900000, -11.7130035, -72.0000000, -72.0000000, -72.0000000, -72.0000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, -72.0000000, -72.0000000, -72.0000000, -72.0000000, -11.6665558, 117.810000, -11.6665558, 276.000000, 276.000000, 276.000000, 276.000000, 0.00000000, 0.00000000, 0.00000000, -1.00000000, -1.00000000, -1.00000000, -1.00000000, -1.00000000, -1.00000000, 0.00000000, 0.00000000, 0.00000000, 276.000000, 276.000000, 276.000000, 276.000000,

-119.900000 119.900000 -105.600000 105.600000 -69.5000000 69.5000000 -69.5000000 69.5000000 -56.0000000 56.0000000

-11.4949905 11.4949905 -105.600000 105.600000 -119.900000 119.900000 -52.3916000 52.3916000 -52.3916000 52.3916000 -119.900000 119.900000 -105.600000 105.600000 -11.6179404 -4.59695000 11.6179404 0.00000000 1.00000000 0.00000000 -1.00000000 -93.6000000 1.00000000 95.6000000 -94.6000000 0.00000000 94.6000000 -94.6000000 0.00000000 94.6000000 -93.6000000 1.00000000 95.6000000 0.00000000 0.00000000 1.00000000 -1.00000000

k,300,402,8.88,-66 k,301,402,8.88,66 k,302,389,-114,-80.1 k,303,389,-114,80.1 k,304,302,-114,-145 k,305,302,-114,145 k,306,107,0,-104 k,307,107,0,104 k,308,-107,0,-104 k,309,-107,0,104 k,310,-302,-114,-145 k,311,-302,-114,145 k,312,-389,-114,-80.1 k,313,-389,-114,80.1 k,314,-402,8.88,-66 k,315,-402,8.88,66


2663

NRC Piping Benchmarks Input Listings k,316,298,11,0 k,317,-298,11,0.476 k,318,320,24.3,0 k,319,274,2.80,0 k,320,399,-94.7,-72.4 k,321,373,-127,-91.8 k,322,399,-94.7,72.4 k,323,373,-127,91.8 k,324,317,-127,-133 k,325,292,-94.8,-153 k,326,317,-127,133 k,327,292,-94.8,153 k,328,-292,-94.8,-153 k,329,-317,-127,-133 k,330,-292,-94.8,153 k,331,-317,-127,133 k,332,-373,-127,-91.8 k,333,-399,-94.7,-72.4 k,334,-373,-127,91.8 k,335,-399,-94.7,72.4 k,336,-274,2.8,0.355 k,337,-320,24.3,0.358 /com,---------------------------------------------------------------------------/com, /com, Material Properties mp,ex,1,2.9e7 mp,nuxy,1,.3 mp,dens,2,0.28138E-03 mp,dens,3,0.32972E-03

! ! ! !

Young's Modulus for Mat ID 1 Minor Poisson's Ratio for Mat ID 1 Density of the internal fluid Density of the internal fluid

/com,---------------------------------------------------------------------------/com, /com, Straight Pipe (Tangent Elements) /com,********************************** mat,1 type,3 secnum,4 l,1,2 l,2,3 l,3,4 l,4,5 l,5,7 l,5,8 l,5,9 l,69,72 l,70,72 l,71,72 l,72,74 l,74,75 l,75,76 l,76,77 !Line #14 lsel,s,line,,1,14 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,**************** /com, mat,1 type,3 secnum,5 l,10,13 l,12,14 l,15,17

2664


vm-nr1677-01-4a Input Listing l,16,18 l,27,29 l,28,31 l,29,32 l,31,34 l,45,47 l,46,49 l,47,50 l,49,52 l,61,63 l,62,64 l,65,67 l,66,68

!Line #30

lsel,s,line,,15,30 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,**************** /com, mat,1 type,3 secnum,7 l,11,30 l,30,33 l,43,48 l,48,51 !Line #34 lsel,s,line,,31,34 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,**************** /com, mat,1 type,3 secnum,9 l,19,21 l,20,22 l,21,25 l,22,26 l,21,27 l,22,28 l,50,53 l,52,54 l,55,53 l,56,54 l,53,59 l,54,60 !Line #46 lsel,s,line,,31,46 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,**************** /com, mat,1 type,3 secnum,10 l,35,37 l,33,37 l,36,37 l,38,37 l,37,39


2665

NRC Piping Benchmarks Input Listings l,39,40 l,40,41 l,37,42 l,37,43 l,37,44

!Line #56

lsel,s,line,,47,56 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,**************** /com, mat,1 type,3 secnum,11 l,5,6 l,73,72 !Line #58 lsel,s,line,,57,58 allsel,below,line lesize,all,,,1 lmesh,all allsel

/com,**************** /com, mat,1 type,3 secnum,12 l,23,21 l,24,22 l,53,57 l,54,58 !Line #62 lsel,s,line,,59,62 allsel,below,line lesize,all,,,1 lmesh,all allsel /com, /com, Pipe Bend Elements /com,********************* mat,1 type,5 secnum,5 larch,7,10,300 larch,8,12,301 larch,13,302,320 larch,302,15,321 larch,14,303,322 larch,303,16,323 larch,17,304,324 larch,304,19,325 larch,18,305,326 larch,305,20,327 larch,32,35,306 larch,34,36,307 larch,42,45,308 larch,44,46,309 larch,59,310,328 larch,310,61,329 larch,60,311,330 larch,311,62,331 larch,63,312,332 larch,312,65,333

2666


vm-nr1677-01-4a Input Listing larch,64,313,334 larch,313,66,335 larch,67,69,314 larch,68,71,315 !Line

#86

lsel,s,line,,59,86 allsel,below,line lesize,all,,,1 lmesh,all allsel

/com,**************** /com, mat,1 type,5 secnum,7 larch,9,316,318 larch,316,11,319 larch,51,317,336 larch,317,70,337

!Line #90

lsel,s,line,,87,90 allsel,below,line lesize,all,,,1 lmesh,all allsel /com, /com, Spring Elements /com,***************** type,2 real,1 l,4,206 l,4,207 l,4,208 l,74,292 l,74,293 l,74,294

!Line #96

lsel,s,line,,91,96 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,**************** /com, type,2 real,2 l,35,244 l,33,245 l,36,246 l,42,252 l,43,253 l,44,254

!Line #102

lsel,s,line,,97,102 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,**************** /com, type,2 real,3


2667

NRC Piping Benchmarks Input Listings l,35,241 l,33,242 l,36,243 l,42,255 l,43,256 l,44,257

!Line #108

lsel,s,line,,103,108 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,**************** /com, type,2 real,1 l,4,205 l,74,291

!Line #109 !Line #110

lsel,s,line,,109,110 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,---------------------------------------------------------------------------/com, /com, Mass Elements /com,*************** type,7 real,13 en,1129,1 real,14 en,1130,2 real,14 en,1131,4 real,15 en,1132,6 real,16 en,1133,8 real,17 en,1134,86 real,17 en,1135,89 real,18 en,1136,91 real,18 en,1137,93 real,19 en,1138,110 real,20 en,1139,115 real,21 en,1140,117 real,13

2668


vm-nr1677-01-4a Input Listing en,1141,119 real,18 en,1142,121 real,18 en,1143,101 real,18 en,1144,103 real,17 en,1145,97 real,17 en,1146,99 real,16 en,1147,17 real,15 en,1148,23 real,14 en,1149,25 real,14 en,1150,27 real,13 en,1151,29

/com, ************************************************************ /com, Using ELBOW, to convert some PIPE289 to ELBOW290 /com, ************************************************************ elbow,on,,,sect

/com,---------------------------------------------------------------------------/com, /com, Constraints /com,************* dk,6,all,0 dk,23,all,0 dk,24,all,0 dk,57,all,0 dk,58,all,0 dk,73,all,0 dk,205,all,0 dk,206,all,0 dk,207,all,0 dk,208,all,0 dk,241,all,0 dk,242,all,0 dk,243,all,0 dk,244,all,0 dk,245,all,0 dk,246,all,0 dk,252,all,0 dk,253,all,0 dk,254,all,0 dk,255,all,0 dk,256,all,0 dk,257,all,0 dk,291,all,0 dk,292,all,0 dk,293,all,0 dk,294,all,0


2669

NRC Piping Benchmarks Input Listings allsel,all /com,---------------------------------------------------------------------------/com, /com, Loads /com,******* esel,s,type,,5 sfe,all,1,pres,1,2400.00 allsel esel,s,sec,,5 sfe,all,3,pres,,15.5 allsel

esel,s,sec,,7 sfe,all,3,pres,,15.5 allsel save finish /com,---------------------------------------------------------------------------/com, /com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal modopt,lanb,30 mxpand,,,,yes solve save

! Expand Solution with Element Calculations ON

/post1 /out, /com, ******************************* /com, Frequencies from Modal solve /com, ******************************* set,list finish

/out,scratch /com, /com,================ /com, Spectrum Solve /com,================ /com, /solution spopt,sprs dmprat,0.02 grp,0.001 svtyp,2

! Perform Spectrum Analysis ! Constant Damping Ratio ! Grouping based on Significance Level

sed,1 ! Excitation along X direction freq freq,1,1.05,1.15,1.28,1.60,1.62,1.9,1.92,2.4 freq,2.55,2.8,2.89,3.15,3.28,3.42,4.18,4.41,5.2 freq,5.33,6.52,6.75,7.08,8.65,10,14.07,14.90,17 freq,18.09,21.697,23.8,30,37.5,41,46.21,52,58.82 freq,71.89,98.04,200 sv,0.02,600,662,662,905,905,865,865,914,914 sv,0.02,812,812,855,855,1023,1057,1057,1140,1140 sv,0.02,1399,1399,1150,1222,1222,865,865,755,755

2670


vm-nr1677-01-4a Input Listing sv,0.02,652,555,475,437,407,255,255,170,243 sv,0.02,243,160,160 solve sed,,1 ! Excitation along Y direction freq freq,1,1.05,1.15,1.28,1.6,1.62,1.9,1.92,2.4 freq,2.55,2.8,2.89,3.15,3.28,3.42,4.18,4.41,5.2 freq,5.33,6.52,6.75,7.08,8.65,10,14.07,14.90,17 freq,18.09,21.70,23.80,30,37.50,41,46.21,52,58.82 freq,71.89,98.04,200 sv,0.02,400,441.3,441.3,603.3,603.3,576.7,576.7,609.3,609.3 sv,0.02,541.3,541.3,570,570,682,704.7,704.7,760,760 sv,0.02,932.7,932.7,766.7,814.7,814.7,576.7,576.7,503.3,503.3 sv,0.02,434.7,370,316.7,292.5,271.3,170,170,113.3,162 sv,0.02,162,106.7,106.7 solve sed,,,1 ! Excitation along Z direction freq freq,1,1.05,1.15,1.28,1.60,1.62,1.9,1.92,2.4 freq,2.55,2.8,2.89,3.15,3.28,3.42,4.18,4.41,5.2 freq,5.33,6.52,6.75,7.08,8.65,10,14.07,14.90,17 freq,18.09,21.697,23.8,30,37.5,41,46.21,52,58.82 freq,71.89,98.04,200 sv,0.02,600,662,662,905,905,865,865,914,914 sv,0.02,812,812,855,855,1023,1057,1057,1140,1140 sv,0.02,1399,1399,1150,1222,1222,865,865,755,755 sv,0.02,652,555,475,437,407,255,255,170,243 sv,0.02,243,160,160 solve fini /com,---------------------------------------------------------------------------/com, /post1 /input,,mcom /com,----------------------------------/com, *======================================================== /com, * Maximum nodal displacements and rotations comparsion /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,103,U,X *GET,AdisY,NODE,140,U,Y *GET,AdisZ,NODE,103,U,Z *GET,ArotX,NODE,103,ROT,X *GET,ArotY,NODE,57,ROT,Y *GET,ArotZ,NODE,103,ROT,Z /out, /com, *======================================================== /com, * Maximum nodal displacements and rotations comparsion /com, *======================================================== *stat,AdisX *stat,AdisY *stat,AdisZ *stat,ArotX *stat,ArotY *stat,ArotZ

/com,----------------------------------------------------------/com, *======================================================== /com, * Element Forces and Moments Comparison /com, *==========================================================


2671

NRC Piping Benchmarks Input Listings /out,scratch /com,========== /com, Node I /com,========== /com, Element #28 (Pipe289 elements) /com,************************



/com, Element #80 (Elbow290 elements) /com,************************ esel,s,elem,,80 etable,pxj_80,smisc,36 etable,vyj_80,smisc,41 etable,vzj_80,smisc,40 etable,txj_80,smisc,39 etable,myj_80,smisc,37 etable,mzj_80,smisc,38 esel,all allsel,all /out, /com, ********************************************** /com, Element forces and moments at element 28, node i /com, ************************************************ pretab,pxi_28,vyi_28,vzi_28,txi_28,myi_28,mzi_28

2672


vm-nr1677-01-5a Input Listing /com, ********************************************** /com, Element forces and moments at element 28, node j /com, ************************************************ pretab,pxj_28,vyj_28,vzj_28,txj_28,myj_28,mzj_28 /com, ********************************************** /com, Element forces and moments at element 80, node i /com, ************************************************ pretab,pxi_80,vyi_80,vzi_80,txi_80,myi_80,mzi_80 /com, ********************************************** /com, Element forces and moments at element 80, node j /com, ************************************************ pretab,pxj_80,vyj_80,vzj_80,txj_80,myj_80,mzj_80

/com,---------------------------------------------------------------------------/com, ***************************** /com, Reaction forces /com, ****************************** prrsol allsel finish

vm-nr1677-01-5a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-01-5a /title,vm-nr1677-01-5a,NRC Piping Benchmark Problems,Volume 1,Problem 5 /com,*********************************************************************************** /com, /com, Reference: Piping Benchmark Problems /com, NUREC/CR--1677-Vol.1 /com, P.Bezier, M.Hartzman, M.Reich /com, August 1980 /com, /com, Elements used: Pipe289, Elbow290, Mass21 /com, /com, Results: /com, The following results are outputted /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum nodal displacements and rotations obtained from spectrum solution. /com, 3. Element forces and moments obtained from spectrum solution. /com, /com,*********************************************************************************** /out,scratch /prep7 et,1,pipe289,,, et,2,pipe289,,, et,3,elbow290,,3

! Element 1 - PIPE289 (Straight Pipe Element) ! Element 2 - PIPE289 (Straight Pipe Element) ! Element 3 - ELBOW290 (Pipe Bend Element)

et,4,combin14 et,5,mass21

! Element 4 - COMBIN14 (Spring Damper Element) ! Element 5 - MASS21 (Mass Element)

/com, Real Constants /com,**************** r,

1,

1.00e7, 0.0,

0.0

! Real Constant Set 1


2673

NRC Piping Benchmarks Input Listings r, r, r,

2, 3, 4,

450.00, 0.0, 800.00, 0.0, 600.00, 0.0,

0.0 0.0 0.0

sectype,5,pipe secdata,14,0.438,16 sectype,7,pipe secdata,12.75,0.375,16 sectype,8,pipe secdata,12.75,1.312,16 sectype,10,pipe secdata,12.75,2,16 r, r, r, r, r, r, r, r, r, r, r, r, r,

11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23,

2.8116, 2.8116, 4.0432, 4.0432, 2.5489, 2.5489, 1.4063, 1.4063, 1.4503, 1.4503, 1.8685, 1.8685, 2.8566, 2.8566, 2.0246, 2.0246, 6.7857, 6.7857, 0.63406, 0.59369, 6.95390, 3.73960,

2.8116 4.0432 2.5489 1.4063 1.4503 1.8685 2.8566 2.0246 6.7857 0.63406, 0.59369, 6.95390, 3.73960,

0.63406 0.59369 6.95390 3.73960

/com,---------------------------------------------------------------------------/com, Material Properties /com,********************** mp,ex,1,2.62e7 mp,nuxy,1,.3 mp,ex,2,7.56e7 mp,nuxy,2,.3 mp,ex,3,2.52e7 mp,nuxy,3,.3 /com,---------------------------------------------------------------------------/com, Nodes /com,******* k,1,0.0,0.0,0.0 k,2,18.636,0.0,-4.3680 k,3,23.424,0.0,-4.9200 k,4,26.400,0.0,-4.9200 k,5,47.400,0.0,-25.920 k,6,47.400,0.0,-79.920 k,7,68.400,0.0,-100.920 k,8,89.400,0.0,-79.920 k,9,89.400,0.0,-25.920 k,10,110.400,0.0,-4.920 k,11,146.400,0.0,-4.920 k,12,206.400,0.0,-4.920 k,13,245.400,0.0,-4.920 k,14,266.400,0.0,-25.920 k,15,266.400,0.0,-72.480 k,16,266.400,0.0,-87.732 k,17,272.436,-1.452,-102.636 k,18,323.280,-13.680,-154.560 k,19,327.960,-14.760,-159.360 k,20,336.816,-16.944,-168.396 k,21,349.884,-18.264,-173.856 k,22,370.884,-18.264,-173.856 k,23,391.884,-18.264,-173.856

2674


vm-nr1677-01-5a Input Listing k,24,370.884,30.696,-173.856 k,25,404.844,-18.264,-173.856 k,26,417.804,-18.264,-173.856 k,27,438.804,-18.264,-173.856 k,28,459.804,-18.264,-173.856 k,29,438.804,30.696,-173.856 k,30,472.236,-18.264,-173.856 k,31,485.148,-18.264,-179.316 k,32,507.300,-18.264,-202.128 k,33,519.840,-0.264,-215.040 k,34,245.400,12.000,-4.920 k,35,404.844,12.000,173.856 k,36,485.148,12.000,179.376 k,37,68.400,12.000,-100.920 k,38,323.280,12.000,-154.560 k,39,323.280,-13.680,-166.560 k,52,23.4192,0.000,16.080 k,53,26.400,0.000,-25.920 k,54,68.400,0.000,-79.920 k,55,68.400,0.000,-79.920 k,56,110.400,0.000,-25.920 k,57,245.400,0.000,-25.920 k,58,286.818,-4.91158,-87.7295 k,59,349.880,-14.0342,-156.360 k,60,472.2350,-18.2640,-191.856 k,61,507.299,-0.2640,-202.127 k,100,21,0,-4.78 k,111,31.835,0.0000,-5.6356 k,112,36.900,0.0000,-7.7335 k,113,41.249,0.0000,-11.071 k,114,44.587,0.0000,-15.420 k,115,46.684,0.0000,-20.485 k,121,48.116,0.0000,-85.355 k,122,50.213,0.0000,-90.420 k,123,53.551,0.0000,-94.769 k,124,57.900,0.0000,-98.107 k,125,62.965,0.0000,-100.20 k,131,73.835,0.0000,-100.20 k,132,78.900,0.0000,-98.107 k,133,83.249,0.0000,-94.769 k,134,86.587,0.0000,-90.420 k,135,88.684,0.0000,-85.355

k,141,90.116,0.0000,-20.485 k,142,92.213,0.0000,-15.420 k,143,95.551,0.0000,-11.071 k,144,99.900,0.0000,-7.7335 k,145,104.96,0.0000,-5.6356 k,151,250.84,0.0000,-5.6356 k,152,255.90,0.0000,-7.7335 k,153,260.25,0.0000,-11.071 k,154,263.59,0.0000,-15.420 k,155,265.68,0.0000,-20.485 k,106,268,-0.378,-95.8 k,107,343,-17.9,-172 k,181,474.63,-18.264,-174.02 k,182,476.98,-18.264,-174.49 k,183,479.25,-18.264,-175.28 k,184,481.39,-18.264,-176.36 k,185,483.37,-18.264,-177.71 k,191,510.55,-17.650,-205.47 k,192,513.57,-15.852,-208.58 k,193,516.17,-12.991,-211.26


2675

NRC Piping Benchmarks Input Listings k,194,518.16,-9.2633,-213.31 k,195,519.41,-4.9220,-214.60 /com,---------------------------------------------------------------------------/com, Straight Pipe (Tangent Elements) /com,********************************** mat,1 type,1 secnum,5 l,1,2 l,3,4 l,5,6 l,8,9 l,10,11 l,11,12 l,12,13 l,14,15 l,15,16 l,17,18 l,18,19 l,19,20

!#12


/com,----------------mat,2 type,2 secnum,8 l,21,22 l,22,23 l,26,27 l,27,28

!#16

lsel,s,line,,13,16 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,----------------mat,3 type,1 secnum,8 l,23,25 l,25,26 l,28,30 l,31,32

!20

lsel,s,line,,17,20 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,----------------mat,3 type,2 secnum,10

2676


vm-nr1677-01-5a Input Listing l,22,24 l,27,29

!22

lsel,s,line,,21,22 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,----------------type,4 real,1 l,7,37

!23

lsel,s,line,,23 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,----------------type,4 real,1 l,18,38

!24


!25


!26


!27

lsel,s,line,,27 allsel,below,line lesize,all,,,1 lmesh,all


2677

NRC Piping Benchmarks Input Listings allsel /com,----------------type,4 real,4 l,31,36

!28

lsel,s,line,,28 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,-------------------------------/com, Pipe Bend Elements /com,************************ mat,1 type,3 secnum,5 larch,2,3,100 larch,4,112,111 larch,112,114,113 larch,114,5,115 larch,6,122,121 larch,122,124,123 larch,124,7,125 larch,7,132,131 larch,132,134,133 larch,134,8,135 larch,9,142,141 larch,142,144,143 larch,144,10,145 larch,13,152,151 larch,152,154,153 larch,154,14,155 larch,16,17,106 !45 lsel,s,line,,29,45 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,----------------------mat,1 type,3 secnum,7 larch,20,21,107

!46

lsel,s,line,,46 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,----------------------mat,3 type,3 secnum,8 larch,30,182,181 larch,182,184,183 larch,184,31,185 larch,32,192,191

2678


vm-nr1677-01-5a Input Listing larch,192,194,193 larch,194,33,195 !52 lsel,s,line,,47,52 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,----------------------/com, Mass Elements /com,*************** type,5 real,11 en,351,5 real,12 en,352,54 real,13 en,353,13 real,14 en,354,14 real,15 en,355,16 real,16 en,356,18 real,17 en,357,21 real,18 en,358,26 real,19 en,359,33 real,20 en,360,50 real,21 en,361,42 real,22 en,362,38 real,20 en,363,52 real,23 en,364,47


/com, ************************************************************ /com, Manually convert some PIPE289 to ELBOW290 for different sect ID /com, ************************************************************ esel,s,sec,,7 nsle


2679

NRC Piping Benchmarks Input Listings esln esel,u,sec,,7 esel,u,ename,,21 esel,u,ename,,14 emodif,all,type,3 allsel /com,----------------/com, Constraints /com,************* dk,1,all,0.0,0.0 dk,33,all,0.0,0.0 dk,34,all,0.0,0.0 dk,35,all,0.0,0.0 dk,36,all,0.0,0.0 dk,37,all,0.0,0.0 dk,38,all,0.0,0.0 dk,39,all,0.0,0.0 save finish /com,---------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal modopt,lanb,11 mxpand,,,,yes solve save finish

! Expand solutions with Element Calculation ON

/post1 /out, /com, ******************************* /com, Frequencies from Modal solve /com, ******************************* set,list finish /out,scratch /com,---------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr spopt,sprs dmprat,0.02 grp,0.0 svtyp,2 save

! Perform Spectrum Analysis ! Single Point Excitation Response Spectrum ! Constant Damping Ratio ! Group Modes based on significance level ! Seismic Acceleration Response Loading

sed,1 ! Excitation in X direction freq freq,1,1.67,3.03,4,4.25,5,5.26,5.261,6.45 freq,6.451,7.14,10,11.76,15,20,25,30,35 freq,40,100 sv,0.02,4.64,9.27,27.82,46.37,66.83,115.92,185.47,425.04,425.04

2680


vm-nr1677-01-5a Input Listing sv,0.02,193.2,115.92,65.34,46.37,43.53,40.96,39.41,38.38,37.64 sv,0.02,37.09,37.09 solve sed,,1 ! Excitation in Y direction freq freq,1,1.67,3.03,4,4.25,5,5.26,5.261,6.45 freq,6.451,7.14,10,11.76,15,20,25,30,35 freq,40,100 sv,0.02,3.09,6.18,18.55,30.91,44.55,77.28,123.65,283.36,283.36 sv,0.02,128.8,77.28,43.56,30.91,29.02,27.30,26.27,25.59,25.09 sv,0.02,24.73,24.73 solve sed,,,1 ! Excitation in Z direction freq freq,1,1.67,3.03,4,4.25,5,5.26,5.261,6.45 freq,6.451,7.14,10,11.76,15,20,25,30,35 freq,40,100 sv,0.02,4.64,9.27,27.82,46.37,66.83,115.92,185.47,425.04,425.04 sv,0.02,193.2,115.92,65.34,46.37,43.53,40.96,39.41,38.38,37.64 sv,0.02,37.09,37.09 solve /com,---------------------------------------------------------------------------/post1 /input,,mcom *GET,AdisX,NODE,54,U,X *GET,AdisY,NODE,83,U,Y *GET,AdisZ,NODE,81,U,Z *GET,ArotX,NODE,20,ROT,X *GET,ArotY,NODE,8,ROT,Y *GET,ArotZ,NODE,10,ROT,Z /out /com, *======================================================== /com, * Maximum nodal displacements and rotations comparsion /com, *======================================================== *stat,AdisX *stat,AdisY *stat,AdisZ *stat,ArotX *stat,ArotY *stat,ArotZ /com,----------------------------------------------------------/com, /com, *======================================================== /com, * Element Forces and Moments Comparison /com, *========================================================== /out,scratch /com,========== /com, Node I /com,========== /com, Element #20 (Pipe289 elements) /com,************************

esel,s,elem,,20 etable,pxi_20,smisc,1 etable,vyi_20,smisc,6 etable,vzi_20,smisc,5 etable,txi_20,smisc,4 etable,myi_20,smisc,2 etable,mzi_20,smisc,3 esel,all /com, Element #50 (Elbow 290 elements) /com,*************************


2681


esel,s,elem,,50 etable,pxi_50,smisc,1 etable,vyi_50,smisc,6 etable,vzi_50,smisc,5 etable,txi_50,smisc,4 etable,myi_50,smisc,2 etable,mzi_50,smisc,3 esel,all



/com,----------------------------------------------------------------------------

2682


vm-nr1677-01-6a Input Listing /com, ***************************** /com, Reaction forces /com, ****************************** prrsol finish

vm-nr1677-01-6a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-01-6a /title,vm-nr1677-01-6a,NRC Piping Benchmark Problems,Volume 1,Problem 6 /com,**************************************************************************** /com, /com, Reference: Piping Benchmark Problems /com, NUREC/CR--1677-Vol.1 /com, P.Bezier, M.Hartzman, M.Reich /com, August 1980 /com, /com, Elements used: Pipe289, Elbow290, Mass21 /com, /com, Results: /com, The following results are outputted /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum nodal displacements and rotations obtained from spectrum solution. /com, 3. Element forces and moments obtained from spectrum solution. /com,**************************************************************************** /out,scratch /prep7 et,1,pipe289,,,

! Element 1 - PIPE289

et,2,pipe289,,, keyopt,2,1,1

! Element 2 - PIPE289 ! Temperatures represent Diametral Gradient

et,3,elbow290,,3

! Element 3 - ELBOW290

et,4,elbow290,,3 keyopt,4,1,1

! Element 4 - ELBOW290 ! Temperatures represent Diametral Gradient

et,5,combin14

! Element 5 - COMBIN14


! Element 105 - COMBIN14 ! Torsional Spring Damper

et,6,mass21

! Element 6 - MASS21

/com, *Real Constants* /com,****************** sectype,6,pipe secdata,30,0.85

sectype,8,pipe secdata,32,0.905

r, r, r, r, r, r,

11, 12, 13, 14, 15, 16,

9.92500000, 5.45300000, 4.88800000, 5.88800000, 5.37300000, 3.95000000,

9.92500000, 5.45300000, 4.88800000, 5.88800000, 5.37300000, 3.95000000,

9.92500000, 5.45300000, 4.88800000, 5.88800000, 5.37300000, 3.95000000,


2683

NRC Piping Benchmarks Input Listings r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r,

17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 101, 102, 103, 104, 105, 106, 107, 108,

2.43000000, 3.94100000, 7.60920000, 7.61200000, 7.61110000, 7.60100000, 10.2930000, 7.51800000, 3.87700000, 10.5280000, 0.1000000E20, 0.1000000E07, 0.2500000E06, 0.2000000E07, 0.4500000E06, 0.8000000E06, 0.1000000E10, 0.1000000E12,

2.43000000, 3.94100000, 7.60920000, 7.61200000, 7.61110000, 7.60100000, 10.2930000, 7.51800000, 3.87700000, 10.5280000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000,

2.43000000, 3.94100000, 7.60920000, 7.61200000, 7.61110000, 7.60100000, 10.2930000, 7.51800000, 3.87700000, 10.5280000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000,

/com,------------------------------------------------------------------/com, /com, *Nodes* /com,********* k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k,

2684

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 76, 77,

126.000000, 126.000000, 126.000000, 126.000000, 126.000000, 126.000000, 126.000000, 126.000000, 126.000000, 126.000000, 126.000000, 126.000000, 169.860000, 138.846498, 173.928000, 229.836000, 283.992000, 335.988000, 385.428000, 431.940000, 475.164000, 514.776000, 550.464000, 581.964000, 609.036000, 631.474000, 649.104000, 661.788000, 669.444000, 672.000000, 669.444000, 661.788000, 649.104000, 631.476000, 609.036000, 581.964000, 550.596000, 375.312000, 473.553150, 345.576000, 262.368000, 221.700000, 179.160000, 191.619252, 179.160000, 126.000000, 169.857000,

483.996000, 483.996000, 528.996000, 497.176195, 567.996000, 651.996000, 735.996000, 802.596000, 869.196000, 917.196000, 965.196000, 968.196000, 1013.19600, 1000.01701, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 1013.19600, 968.196000, 1000.01318, 968.172000, 528.996000, 968.196000,

705.840000 704.640000 659.640000 672.820195 659.640000 659.640000 659.640000 659.640000 659.640000 659.640000 659.640000 659.640000 649.560000 656.687590 648.624000 630.996000 608.556000 581.484000 550.080000 514.392000 474.780000 431.556000 385.044000 335.604000 283.608000 229.452000 173.544000 116.304000 58.1760000 -0.39600000 -58.9680000 -117.096000 -174.336000 -230.244000 -284.400000 -336.396000 -385.572000 -446.736000 -446.529080 -436.500000 -407.844000 -393.840000 -379.188000 -383.479325 -379.188000 704.640000 649.561000


vm-nr1677-01-6a Input Listing k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k,

78, 79, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160,

424.134000, 221.707000, 127.000000, 126.000000, 515.776000, 514.776000, 514.776000, 662.788000, 661.788000, 661.788000, 661.788000, 582.223000, 180.160000, 179.160000, 179.160000, 180.160000, 179.160000, 179.160000, 127.000000, 126.000000, 126.000000,

1013.20000, 968.196000, 965.196000, 965.196000, 1013.19600, 1014.19600, 1013.19600, 1013.19600, 1014.19600, 1013.19600, 1014.19600, 1013.19600, 968.196000, 969.196000, 968.196000, 968.196000, 969.196000, 968.196000, 483.996000, 484.996000, 483.996000,

-304.904000 -393.842000 659.640000 660.640000 431.556000 431.556000 432.556000 116.304000 116.304000 117.304000 -117.096000 -337.362000 -379.188000 -379.188000 -378.188000 -379.188000 -379.188000 -378.188000 705.840000 705.840000 706.840000

k,211,126.00,484.38,698.77 k,212,126.00,485.53,692.99 k,213,126.00,487.42,687.42 k,214,126.00,490.02,682.14 k,215,126.00,493.30,677.25 k,221,126.38,974.07,659.55 k,222,127.49,979.84,659.30 k,223,129.34,985.42,658.87 k,224,131.88,990.70,658.29 k,225,135.06,995.59,657.56

k,201,126,512,663

k,231,143.16,1003.9,655.70 k,232,147.93,1007.2,654.60 k,233,153.08,1009.8,653.42 k,234,158.51,1011.7,652.17 k,235,164.14,1012.8,650.88

k,241,216.15,1012.8,-391.93 k,242,210.69,1011.7,-390.05 k,243,205.42,1009.8,-388.23 k,244,200.43,1007.2,-386.51 k,245,195.80,1003.9,-384.92

k,251,187.95,995.59,-382.22 k,252,184.86,990.69,-381.15 k,253,182.40,985.42,-380.30 k,254,180.61,979.84,-379.69 k,255,179.52,974.07,-379.31

k,206,517,1010,-423 k,207,424,1010,-455

/com,------------------------------------------------------------------/com, /com, *Material Properties* /com,*********************** mp,ex,1,29900000 mp,nuxy,1,.3


2685

NRC Piping Benchmarks Input Listings /com,------------------------------------------------------------------/com, /com, *Straight Pipe (Tangent) Elements* /com,************************************ /com, mat,1 type,1 secnum,6 l,1,2 l,3,5 l,5,6 l,6,7 l,7,8 l,8,9 l,9,10 l,10,11 l,11,12 l,13,15 l,15,16 l,16,17 l,17,18 l,18,19 l,19,20 l,20,21 l,21,22 l,22,23 l,23,24 l,24,25 l,25,26 l,26,27 l,27,28 l,28,29 l,29,30 l,30,31 l,31,32 l,32,33 l,33,34 l,34,35 l,35,36 l,36,37 l,38,40 l,40,41 l,41,42

!line #35

lsel,s,line,,1,35 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,---------------mat,1 type,1 secnum,8 l,43,45 !36 lsel,s,line,,36 allsel,below,line lesize,all,,,1 lmesh,all allsel

/com,---------------/com, /com, *Pipe Bend Elements*

2686


vm-nr1677-01-6a Input Listing /com,********************** mat,1 type,3 secnum,6 larch,2,212,211 larch,212,214,213 larch,214,4,215 larch,4,3,201 larch,12,222,221 larch,222,224,223 larch,224,14,225 larch,14,232,231 larch,232,234,233 larch,234,13,235 !46 lsel,s,line,,37,46 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,---------------mat,1 type,3 secnum,8 larch,42,242,241 larch,242,244,243 larch,244,44,245 larch,44,252,251 larch,252,254,253 larch,254,43,255 !52 lsel,s,line,,47,52 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,---------------mat,1 type,3 secnum,6 larch,37,39,206 larch,39,38,207

!54


/com,---------------/com, /com, *Spring Elements* /com,********************

mat,1 type,5 real,101 l,1,158 l,1,159 l,1,160 !57

lsel,s,line,,55,57 allsel,below,line


2687

NRC Piping Benchmarks Input Listings lesize,all,,,1 lmesh,all allsel /com,---------------mat,1 type,5 real,102 l,11,142 l,11,143

!59

lsel,s,line,,58,59 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,---------------mat,1 type,5 real,103 l,22,144 l,22,146

!61

lsel,s,line,,60,61 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,---------------mat,1 type,5 real,104 l,22,145 l,28,148 l,32,150

!64

lsel,s,line,,62,64 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,---------------mat,1 type,5 real,105 l,28,147 l,28,149

!66

lsel,s,line,,65,66 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,---------------mat,1 type,5 real,106 l,36,151

2688

!67



lsel,s,line,,67 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,---------------mat,1 type,5 real,107 l,45,152 l,45,153 l,45,154

!70

lsel,s,line,,68,70 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,---------------mat,1 type,105 real,108 l,45,155 l,45,156 l,45,157

!73


/com,---------------/com, /com, *Mass Elements* /com,***************** mat,1 type,6 real,11 en,975,5 real,12 en,976,7 real,13 en,977,9 real,14 en,978,11 real,15 en,979,15 real,16 en,980,19 real,17 en,981,21 real,18 en,982,22


2689


real,19 en,983,26 real,19 en,984,30 real,20 en,985,34 real,21 en,986,38 real,21 en,987,42 real,21 en,988,46 real,21 en,989,50 real,21 en,990,54 real,21 en,991,58 real,22 en,992,62 real,23 en,993,66 real,24 en,994,68 real,25 en,995,69 real,26 en,996,71 /com,------------------------------------------------------------------/com,


/com, *Constraints* /com,*************** dk,142,all,0 dk,143,all,0 dk,144,all,0 dk,145,all,0 dk,146,all,0 dk,147,all,0 dk,148,all,0 dk,149,all,0 dk,150,all,0 dk,151,all,0 dk,152,all,0 dk,153,all,0 dk,154,all,0 dk,155,all,0 dk,156,all,0 dk,157,all,0

2690


vm-nr1677-01-6a Input Listing dk,158,all,0 dk,159,all,0 dk,160,all,0 allsel,all save finish /com,------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal modopt,lanb,31 mxpand,,,,yes solve save /post1 /out, /com, ******************************* /com, Frequencies from Modal solve /com, ******************************* set,list finish /out,scratch /com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr spopt,sprs dmprat,0.02 grp,0.001 svtyp,2


Spectrum Analysis Single Point Excitation Response Spectrum Constant Damping Ratio Group Modes based on Singificance Level Acceleration Response Loading

sed,1 ! Excitation in X direction freq freq,0.5,1.1,1.11,8.0,8.01,10,15,20,25 freq,30,35,40,45,50,55,60,65,70 freq,75,80,85,90,95,100,200 sv,0.02,27.05,135.20,649.10,649.10,81.14,75.73,68.52,64.92,62.75 sv,0.02,61.31,60.28,59.51,58.91,58.43,58.03,57.71,57.43,57.19 sv,0.02,56.98,56.80,56.64,56.50,56.38,56.26,54.53 solve sed,,1 freq freq,0.5,1.56,1.563,4.76,4.762,200 sv,0.02,108.2,143,1190,1190,73.42,73.42 solve

! Excitation in Y direction

sed,,,1 ! Excitation in Z direction freq freq,0.5,1.1,1.11,8.0,8.01,10,15,20,25 freq,30,35,40,45,50,55,60,65,70 freq,75,80,85,90,95,100,200 sv,0.02,27.05,135.20,649.10,649.10,81.14,75.73,68.52,64.92,62.75 sv,0.02,61.31,60.28,59.51,58.91,58.43,58.03,57.71,57.43,57.19 sv,0.02,56.98,56.80,56.64,56.50,56.38,56.26,54.53 solve finish


2691


/com,------------------------------------------------------------------/post1 /input,,mcom ! Compute SSRS *GET,AdisX,NODE,58,U,X *GET,AdisY,NODE,107,U,Y *GET,AdisZ,NODE,10,U,Z *GET,ArotX,NODE,1,ROT,X *GET,ArotY,NODE,1,ROT,Y *GET,ArotZ,NODE,71,ROT,Z /out /com, *======================================================== /com, * Maximum nodal displacements and rotations comparsion /com, *======================================================== *stat,AdisX *stat,AdisY *stat,AdisZ *stat,ArotX *stat,ArotY *stat,ArotZ /com, *======================================================== /com, * Element Forces and Moments Comparison /com, *========================================================== /out,scratch /com,========== /com, Node I /com,========== /com, Element #28 (Pipe289 elements) /com,************************


/com,========== /com, Node J /com,========== /com, Element #28 (Pipe289 elements) /com,************************ esel,s,elem,,28 etable,pxj_28,smisc,14 etable,vyj_28,smisc,19 etable,vzj_28,smisc,18 etable,txj_28,smisc,17 etable,myj_28,smisc,15

2692


vm-nr1677-01-7a Input Listing etable,mzj_28,smisc,16 esel,all



vm-nr1677-01-7a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-01-7a /title,vm-nr1677-01-7a,NRC Piping Benchmark Problems,Volume 1,Problem 7 /com,**************************************************************************** /com, /com, Reference: Piping Benchmark Problems /com, NUREC/CR--1677-Vol.1 /com, P.Bezier, M.Hartzman, M.Reich /com, August 1980 /com, /com, Elements used: Pipe288, Elbow290, Mass21, Combin14 /com, /com, Results comparsion:


2693

NRC Piping Benchmarks Input Listings /com, The following results are compared against NRC piping benchmark values /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum nodal displacements and rotations obtained from spectrum solution. /com, 3. Element forces and moments obtained from spectrum solution. /com, /com,**************************************************************************** /out,scratch /prep7 et,1,pipe289 et,3,pipe289 et,5,pipe289 et,7,elbow290,,3 et,9,mass21 et,10,combin14 et,11,combin14 keyopt,11,3,1

! Element 1 - PIPE289 ! Element 3 - PIPE289 ! Element 5 - PIPE289 ! Element 7 - ELBOW290 ! Element 9 - MASS21 ! Element 10 - COMBIN14 ! Element 11 - COMBIN14 ! Torsional Spring

/com,---------------------------------------------------------------------------/com, Real Constants /com,****************

sectype,2,pipe secdata,4.5,0.337 sectype,4,pipe secdata,3.5,0.3

r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r, r,

1, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24,

1.00000000, 0.47179000, 0.37604000, 0.40399000, 0.35016000, 0.22179000, 0.33799000, 0.14441000, 0.26889000, 0.29011000, 0.12733000, 0.22386000, 0.20990000, 0.28620000, 0.19358000, 0.18737000, 0.31366000, 0.29736000, 1.00000E09, 1.00000E11,

0.000000000, 0.471790000, 0.376040000, 0.403990000, 0.350160000, 0.221790000, 0.337990000, 0.144410000, 0.268890000, 0.290110000, 0.127330000, 0.223860000, 0.209900000, 0.286200000, 0.193580000, 0.187370000, 0.313660000, 0.297360000, 0.000000000, 0.000000000,

0.000000000 0.471790000 0.376040000 0.403990000 0.350160000 0.221790000 0.337990000 0.144410000 0.268890000 0.290110000 0.127330000 0.223860000 0.209900000 0.286200000 0.193580000 0.187370000 0.313660000 0.297360000 0.000000000 0.000000000

/com,---------------------------------------------------------------------------/com, Nodes /com,******* k, k, k, k, k, k, k, k, k, k, k, k, k, k,

2694

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,

0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, 0.00000000, -6.00000000, -21.9600000, -57.9600000,

0.00000000, -6.00000000, -12.0000000, -12.0000000, -12.0000000, -18.0000000, -36.0000000, -65.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000,

0.00000000 0.00000000 -6.00000000 -38.0400000 -54.0000000 -60.0000000 -60.0000000 -60.0000000 -54.0000000 -36.0000000 -6.00000000 0.00000000 0.00000000 0.00000000


vm-nr1677-01-7a Input Listing k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k,

15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158,

-117.000000, -165.000000, -139.680000, -141.000000, -141.000000, -141.000000, -141.000000, -136.500000, -122.460000, -97.4400000, -92.9400000, -92.9400000, -92.9400000, -213.000000, -255.000000, -259.080000, -277.680000, -279.000000, -279.000000, -279.000000, -279.000000, -274.500000, -260.460000, -235.440000, -230.940000, -230.940000, -230.940000, -263.040000, -315.000000, -375.000000, -412.500000, -417.000000, -417.000000, -417.000000, -417.000000, -412.500000, -398.460000, -373.440000, -368.940000, -368.940000, -368.940000, 0.00000000, 0.00000000, 0.00000000, -6.00000000, -136.500000, -97.4400000, -136.500000, -274.500000, -235.440000, -274.500000, -412.500000, -412.500000, -373.440000, 0.00000000, -141.000000, -279.000000, -417.000000, -21.9600000, -375.000000, -93.9400000, -93.9400000, -92.9400000, -92.9400000, -92.9400000, -92.9400000, -214.000000, -214.000000, -213.000000, -213.000000, -213.000000, -213.000000,

-71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -75.5400000, -91.0800000, -107.040000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -75.5400000, -91.0800000, -107.040000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -71.0400000, -75.5400000, -91.0800000, -107.040000, -6.00000000, -18.0000000, -65.0400000, -71.0400000, -71.0400000, -75.5400000, -71.0400000, -71.0400000, -75.5400000, -71.0400000, -71.0400000, -71.0400000, -75.5400000, -37.0000000, -72.0400000, -72.0400000, -72.0400000, -72.0400000, -72.0400000, -107.040000, -107.040000, -108.040000, -108.040000, -107.040000, -107.040000, -71.0400000, -71.0400000, -72.0400000, -72.0400000, -71.0400000, -71.0400000,

0.00000000 0.00000000 -22.6800000 -25.8600000 -46.5600000 -82.5600000 -102.060000 -106.560000 -106.560000 -106.560000 -106.560000 -106.560000 -106.560000 0.00000000 0.00000000 0.00000000 -22.6800000 -25.8600000 -46.5600000 -82.5600000 -102.060000 -106.560000 -106.560000 -106.560000 -106.560000 -106.560000 -106.560000 0.00000000 0.00000000 0.00000000 0.00000000 -4.50000000 -18.1200000 -78.1200000 -102.180000 -106.680000 -106.680000 -106.680000 -106.680000 -106.680000 -106.680000 -6.00000000 -54.0000000 -54.0000000 -6.00000000 -102.060000 -106.560000 -25.8640000 -102.060000 -106.560000 -25.8640000 -4.50000000 -102.180000 -106.680000 -60.0000000 -82.5600000 -82.5600000 -78.1200000 0.00000000 0.00000000 -106.560000 -106.560000 -106.560000 -106.560000 -107.560000 -107.560000 0.00000000 0.00000000 0.00000000 0.00000000 -1.00000000 -1.00000000


2695

NRC Piping Benchmarks Input Listings k, k, k, k, k, k, k, k, k, k, k, k,

159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170,

-231.940000, -231.940000, -230.940000, -230.940000, -230.940000, -230.940000, -369.940000, -369.940000, -368.940000, -368.940000, -368.940000, -368.940000,

-107.040000, -107.040000, -108.040000, -108.040000, -107.040000, -107.040000, -107.040000, -107.040000, -108.040000, -108.040000, -107.040000, -107.040000,

-106.560000 -106.560000 -106.560000 -106.560000 -107.560000 -107.560000 -106.680000 -106.680000 -106.680000 -106.680000 -107.680000 -107.680000

k,231,0,-7.5529,-0.20445 k,232,0,-9,-0.80385 k,233,0,-10.243,-1.7574 k,234,0,-11.196,-3 k,235,0,-11.796,-4.4471 k,561,0,-12.204,-55.553 k,562,0,-12.804,-57 k,563,0,-13.757,-58.243 k,564,0,-15,-59.196 k,565,0,-16.447,-59.796 k,891,0,-66.593,-59.796 k,892,0,-68.04,-59.196 k,893,0,-69.283,-58.243 k,894,0,-70.236,-57 k,895,0,-70.836,-55.553 k,281,-0.20445,-71.04,-4.4471 k,282,-0.80385,-71.04,-3 k,283,-1.7574,-71.04,-1.7574 k,284,-3,-71.04,-0.80385 k,285,-4.4471,-71.04,-0.20445 k,291,-140.85,-71.04,-103.22 k,292,-140.4,-71.04,-104.31 k,293,-139.68,-71.04,-105.24 k,294,-138.75,-71.04,-105.96 k,295,-137.66,-71.04,-106.41 k,301,-96.275,-71.193,-106.56 k,302,-95.19,-71.643,-106.56 k,303,-94.258,-72.358,-106.56 k,304,-93.543,-73.29,-106.56 k,305,-93.093,-74.375,-106.56 k,311,-140.07,-71.04,-23.122 k,312,-140.4,-71.04,-23.611 k,313,-140.66,-71.04,-24.139 k,314,-140.85,-71.04,-24.696 k,315,-140.96,-71.04,-25.273

k,321,-278.85,-71.04,-103.22 k,322,-278.4,-71.04,-104.31 k,323,-277.68,-71.04,-105.24 k,324,-276.75,-71.04,-105.96 k,325,-275.66,-71.04,-106.41 k,331,-234.28,-71.193,-106.56 k,332,-233.19,-71.643,-106.56 k,333,-232.26,-72.358,-106.56 k,334,-231.54,-73.29,-106.56 k,335,-231.09,-74.375,-106.56 k,341,-278.07,-71.040,-23.122 k,342,-278.40,-71.040,-23.611 k,343,-278.66,-71.040,-24.139 k,344,-278.85,-71.040,-24.696

2696


vm-nr1677-01-7a Input Listing k,345,-278.96,-71.040,-25.273 k,351,-413.66,-71.040,-0.15333 k,352,-414.75,-71.040,-0.60289 k,353,-415.68,-71.040,-1.3180 k,354,-416.40,-71.040,-2.2500 k,355,-416.85,-71.040,-3.3353 k,361,-416.85,-71.040,-103.34 k,362,-416.40,-71.040,-104.43 k,363,-415.68,-71.040,-105.36 k,364,-414.75,-71.040,-106.08 k,365,-413.66,-71.040,-106.53 k,371,-372.28,-71.193,-106.68 k,372,-371.19,-71.643,-106.68 k,373,-370.26,-72.358,-106.68 k,374,-369.54,-73.290,-106.68 k,375,-369.09,-74.375,-106.68 /com,---------------------------------------------------------------------------/com, Material Properties /com,********************* mp,ex,1,2.7e7 mp,nuxy,1,.3 mp,ex,2,8.1e7 mp,nuxy,2,.3 /com,---------------------------------------------------------------------------/com, Straight Pipe (Tangent Elements) /com,********************************** mat,1 type,1 secnum,2 l,1,2 l,3,4 l,6,7 l,7,8 l,9,10 l,10,11 l,13,14 l,16,28 l,30,42 !Line #9 lsel,s,line,,1,9 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,----------------mat,1 type,1 secnum,4 l,18,19 l,19,20 l,20,21 l,23,24 l,25,26 l,32,33 l,33,34 l,34,35 l,37,38 l,39,40 l,42,43 l,43,44


2697

NRC Piping Benchmarks Input Listings l,44,45 l,46,47 l,47,48 l,48,49 l,51,52 l,53,54

!#27

lsel,s,line,,10,27 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,----------------mat,1 type,5 secnum,2 l,14,15 l,15,16 l,28,29 l,29,30 !#31 lsel,s,line,,28,31 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,----------------mat,1 type,5 secnum,4 l,15,17 l,29,31 !#33 lsel,s,line,,32,33 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,----------------mat,2 type,1 secnum,4 l,26,27 l,40,41 l,54,55 !#36 lsel,s,line,,34,36 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,----------------mat,2 type,3 secnum,2 l,4,5 l,12,13 !#38 lsel,s,line,,37,38 allsel,below,line lesize,all,,,1 lmesh,all allsel

2698


vm-nr1677-01-7a Input Listing /com,----------------mat,2 type,3 secnum,4 l,22,23 l,36,37 l,50,51 !#41 lsel,s,line,,39,41 allsel,below,line lesize,all,,,1 lmesh,all allsel

/com, Pipe Bend Elements /com,******************** mat,1 type,7 secnum,2 larch,2,232,231 larch,232,234,233 larch,234,3,235 larch,5,562,561 larch,562,564,563 larch,564,6,565 larch,8,892,891 larch,892,894,893 larch,894,9,895 larch,11,282,281 larch,282,284,283 larch,284,12,285 !#53 lsel,s,line,,42,53 allsel,below,line lesize,all,,,1 lmesh,all allsel /com,----------------mat,1 type,7 secnum,4 larch,21,292,291 larch,292,294,293 larch,294,22,295 larch,24,302,301 larch,302,304,303 larch,304,25,305 larch,17,312,311 larch,312,314,313 larch,314,18,315 larch,35,322,321 larch,322,324,323 larch,324,36,325 larch,38,332,331 larch,332,334,333 larch,334,39,335 larch,31,342,341 larch,342,344,343 larch,344,32,345 larch,45,352,351 larch,352,354,353 larch,354,46,355 larch,49,362,361 larch,362,364,363 larch,364,50,365 larch,52,372,371 larch,372,374,373


2699

NRC Piping Benchmarks Input Listings larch,374,53,375 !#80 lsel,s,line,,54,80 allsel,below,line lesize,all,,,1 lmesh,all allsel

/com, *Spring Elements* /com,******************* mat,1 type,10 real,1 l,7,141 l,20,142 l,34,143 l,48,144

!#84


/com,----------------mat,1 type,10 real,23 l,13,145 l,44,146 l,27,147 l,27,149 l,27,151 l,28,153 l,28,155 l,28,157 l,41,159 l,41,161 l,41,163 l,55,165 l,55,167 l,55,169

!#98


/com,----------------mat,1 type,11 real,24 l,27,148 l,27,150 l,27,152 l,28,154 l,28,156 l,28,158 l,41,160 l,41,162 l,41,164 l,55,166 l,55,168 l,55,170

2700

!#110




/com, Mass Elements /com,*************** type,9 real,6 en,967,5 real,7 en,968,8 real,8 en,969,13 real,9 en,970,17 real,10 en,971,18 real,11 en,972,71 real,12 en,973,27 real,13 en,974,29 real,14 en,975,33 real,15 en,976,37 real,16 en,977,20 real,17 en,978,21 real,18 en,979,74 real,12 en,980,40 real,11 en,981,42 real,14 en,982,46 real,15 en,983,50 real,19 en,984,52 real,20 en,985,54 real,20 en,986,59


2701


real,21 en,987,61 real,22 en,988,65 real,15 en,989,69 /com,---------------------------------------------------------------------------/com, ************************************************************ /com, Using ELBOW, to convert some PIPE289 to ELBOW290 /com, ************************************************************ elbow,on,,,sect /com, Constraints /com,************* dk,1,all,0 dk,141,all,0 dk,142,all,0 dk,143,all,0 dk,144,all,0 dk,145,all,0 dk,146,all,0 dk,147,all,0 dk,148,all,0 dk,149,all,0 dk,150,all,0 dk,151,all,0 dk,152,all,0 dk,153,all,0 dk,154,all,0 dk,155,all,0 dk,156,all,0 dk,157,all,0 dk,158,all,0 dk,159,all,0 dk,160,all,0 dk,161,all,0 dk,162,all,0 dk,163,all,0 dk,164,all,0 dk,165,all,0 dk,166,all,0 dk,167,all,0 dk,168,all,0 dk,169,all,0 dk,170,all,0 allsel,all save finish /com,---------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal modopt,lanb,22 mxpand,,,,yes solve finish /post1

2702


vm-nr1677-01-7a Input Listing /out, /com, ******************************* /com, Frequencies from Modal solve /com, ******************************* set,list finish /out,scratch /com,---------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr spopt,sprs dmprat,0.02 grp,0.001 svtyp,2


Spectrum Analysis Single Point Excitation Response Spectrum Constant Damping Ratio Group Modes based on Significance level Acceleration Response Loading

sed,1 ! Excitation in X direction freq freq,0.83,0.91,1,1.11,1.24,1.72,2,2.86,3.23 freq,5,6,7,7.8,8.2,9,9.3,10,100 sv,0.02,27.05,38.64,69.55,173.88,656.88,734.16,212.52,135.24,637.56 sv,0.02,329.5,236.4,169.9,129.0,111.54,81.26,71.25,50.23,50.23 solve sed,,1 ! Excitation in Y direction freq freq,0.91,1.25,1.43,1.67,1.92,2.38,2.70,3.13,4.55 freq,5,6,7,7.8,8.2,9,9.3,10,100 sv,0.02,46.37,77.28,115.92,231.84,985.32,830.76,830.76,386.4,115.92 sv,0.02,109.48,98.75,91.08,86.36,84.35,80.86,79.70,77.28,77.28 solve sed,,,1 ! Excitation in Z direction freq freq,0.83,0.91,1,1.11,1.24,1.72,2,2.86,3.23 freq,5,6,7,7.8,8.2,9,9.3,10,100 sv,0.02,27.05,38.64,69.55,173.88,656.88,734.16,212.52,135.24,637.56 sv,0.02,329.5,236.4,169.9,129.0,111.54,81.26,71.25,50.23,50.23 solve fini /com,---------------------------------------------------------------------------/post1 /input,,mcom

/com,----------------------------------/com, *======================================================== /com, * Maximum nodal displacements and rotations comparsion /com, *========================================================== /com, Solution obtained from Mechanical APDL /com, **************************** *GET,AdisX,NODE,8,U,X *GET,AdisY,NODE,8,U,Y *GET,AdisZ,NODE,11,U,Z *GET,ArotX,NODE,7,ROT,X *GET,ArotY,NODE,14,ROT,Y *GET,ArotZ,NODE,50,ROT,Z /out, /com, *========================================================


2703

NRC Piping Benchmarks Input Listings /com, * Maximum nodal displacements and rotations comparsion /com, *======================================================== *stat,AdisX *stat,AdisY *stat,AdisZ *stat,ArotX *stat,ArotY *stat,ArotZ /com, *======================================================== /com, * Element Forces and Moments Comparison /com, *========================================================== /out,scratch /com,========== /com, Node I /com,========== /com, Element #28 (Pipe289 elements) /com,************************



/com, Element #50 (Elbow290 elements) /com,************************ esel,s,elem,,50 etable,pxj_50,smisc,36 etable,vyj_50,smisc,41 etable,vzj_50,smisc,40 etable,txj_50,smisc,39 etable,myj_50,smisc,37

2704


vm-nr1677-02-1a Input Listing etable,mzj_50,smisc,38 esel,all allsel,all /out, /com, ********************************************** /com, Element forces and moments at element 28, node i /com, ************************************************ pretab,pxi_28,vyi_28,vzi_28,txi_28,myi_28,mzi_28 /com, ********************************************** /com, Element forces and moments at element 28, node j /com, ************************************************ pretab,pxj_28,vyj_28,vzj_28,txj_28,myj_28,mzj_28 /com, ********************************************** /com, Element forces and moments at element 50, node i /com, ************************************************ pretab,pxi_50,vyi_50,vzi_50,txi_50,myi_50,mzi_50 /com, ********************************************** /com, Element forces and moments at element 50, node j /com, ************************************************ pretab,pxj_50,vyj_50,vzj_50,txj_50,myj_50,mzj_50


vm-nr1677-02-1a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-02-1a /title,vm-nr1677-02-1a,NRC piping benchmarks problems,Volume II,Problem 1a /com, *************************************************************************** /com, Reference: Piping benchmark problems,Dynamic analysis independant support /com, motion response spectrum method, P. Bezler, M. Subudhi and /com, M.Hartzman, NUREG/CR--1677-Vol.2, August 1985. /com, /com, /com, Element used: Pipe289, Elbow290, Combin14 /com, /com, Results : /com, The following results are outputted /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum nodal displacements and rotations obtained from spectrum solution. /com, 3. Element forces/moments obtained from spectrum solution. /com, 4. Reaction forces obtained from spectrum solution. /com, /com, ******************************************************************************* /out,scratch

/PREP7 YoungModulus1 = .258e+8

! Young's Modulus


2705

NRC Piping Benchmarks Input Listings Nu = 0.3 ShearModulus1 = YoungModulus1/(2*(1+Nu)) WMass = 1.042868e-03

! Poissons ratio ! Shear Modulus ! Density

WTick=0.216 OD=3.5

! Wall Thickness ! Outer Diameter

RADCUR=48.003 temp=60 maxm=15

! Radius curvature ! Temperature ! Number of modes to extract

et,1,pipe289,,, et,2,elbow290,,6

! Straight pipe elements ! Curved pipe elements

et,3,combin14 keyopt,3,2,1 et,4,combin14, keyopt,4,2,2 et,5,combin14 keyopt,5,2,3 et,6,combin14 keyopt,6,2,1 et,7,combin14 keyopt,7,2,2

! Spring-damper elements ! UX Degree Of Freedom ! Spring-damper elements ! UY Degree Of Freedom ! Spring-damper elements ! UZ Degree Of Freedom ! Spring-damper elements ! UX Degree Of Freedom ! Spring-damper elements ! UY Degree Of Freedom

/com, /com, Real Constants /com,**************** sectype,1,PIPE,ctube secdata,OD,WTick,24 r,3,0.2e+8 r,4,0.2e+8 r,5,0.2e+8 r,6,0.2e+5 r,7,0.2e+5

! ! ! ! !


/com,---------------------------------------------------------------------------/com, /com, Material Properties /com,********************* mp,ex,1,YoungModulus1 mp,nuxy,1,Nu mp,gxy,1,ShearModulus1 mp,dens,1,WMass mp,ex,2,YoungModulus1 mp,nuxy,2,Nu mp,gxy,2,ShearModulus1 mp,dens,2,WMass /com,---------------------------------------------------------------------------/com, Keypoints /com,*********** k,1,0,0,0 k,2,0,12,0 k,3,35.687,60,32.110 k,4,55,60,49.5 k,5,74.329,60,66.882 k,6,110,12,99 k,7,110,0,99 k,8,110,-24,99, k,9,110,-48,99, k,10,110,-72,99 k,11,110,-96,99 k,12,110,-120,99

2706


vm-nr1677-02-1a Input Listing k,13,110,-144,99 k,14,110,-168,99 k,15,110,-198,99 k,16,110,-228,99 k,17,110,-252,99 k,18,110,-276,99 k,19,110,-300,99 k,20,110,-324,99 k,21,99.6,-349.4,99 k,22,89.2,-374.8,99 k,23,78.8,-400,99 k,24,68.4,-425.6,99 k,25,58,-451,99 k,26,58,-475,99 k,27,58,-487,99 k,28,103.537,-535,114.179 k,29,124.269,-535,121.1 k,30,145,-535,128 k,31,184.975,-535,123.615 k,32,214.8,-536,102.8 k,33,254.585,-535,81.849 k,34,279.312,-535,75 k,35,331,-535,75 k,36,383,-535,75 /com, /com, Elastic support Keypoints /com,*************************** k,37,10,0,0 k,38,0,10,0 k,39,0,0,10 k,40,55,70,49.5 k,41,110,0,109 k,42,120,0,99 k,43,110,-168,109 k,44,120,-168,109 k,45,110,-324,109 k,46,120,-324,99 k,47,58,-475,109 k,48,68,-475,99 k,49,103.537,-545,114.179 k,50,103.537,-535,104.179 k,51,393,-535,75 k,52,383,-545,75 k,53,383,-535,85 /com,---------------------------------------------------------------------------/com, /com, Modeling of Straight Pipe (Tangent) /com,************************************ l, 1, 2 l, 3, 4 l, 4, 5 l, 6, 7 l, 7, 8 l, 8, 9 l, 9,10 l,10,11 l,11,12 l,12,13 l,13,14 l,14,15 l,15,16 l,16,17 l,17,18 l,18,19 l,19,20 l,20,21 l,21,22


2707

NRC Piping Benchmarks Input Listings l,22,23 l,23,24 l,24,25 l,25,26 l,26,27 l,28,29 l,29,30 l,31,32 l,32,33 l,34,35 l,35,36

! line number 30

/com, /com, Modeling of Pipe Bend /com,*********************** larch,2,3,4,RADCUR larch,5,6,4,RADCUR larch,27,28,26,RADCUR larch,30,31,29,RADCUR larch,33,34,32,RADCUR

! line number 35

/com, Elastic supports and anchors /com,****************************** l,1,37 l,36,51 l,4,40 l,7,41 l,26,47 l,28,49

! ! ! ! ! !

36 37 38 39 40 41

l,1,38 l,36,52 l,7,42 l,26,48 l,28,50

! ! ! ! !

42 43 44 45 46

l,1,39 l,36,53

! 47 ! 48

l,14,43 l,20,45

! 49 ! 50

l,14,44 l,20,46

! 51 ! 52

/com, ********************************** /com, Meshing for Straight pipe /com, ********************************** type,1 secnum,1 mat,1

lsel,s,line,,1,30 allsel,below,line lesize,all,,,4 lmesh,all allsel,all,all /com, ********************************** /com, Meshing for bend pipe /com, ********************************** type,2 secnum,1 mat,2 lsel,s,,,31,35

2708


vm-nr1677-02-1a Input Listing allsel,below,line lesize,all,,,4 lmesh,all allsel,all,all

/com, ***************************************************************** /com, Converting Straight pipes with smaller lengths into bend pipes for /com, better accuracy /com, ***************************************************************** elbow,on,,,sect esel,s,ename,,290 nsle,s esln,s nsle,s esln,s nsle,s esln,s esel,u,ename,,290 emodif,all,type,2 allsel,all

/com, **************************** /com, Spring - damper elements /com, ****************************** type,3 real,3 lsel,s,,,36,41 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all type,4 real,4 lsel,s,,,42,46 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all type,5 real,5 lsel,s,,,47,48 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all type,6 real,6 lsel,s,,,49,50 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all type,7 real,7


2709


lsel,s,,,51,52 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all

n1 = 11 n2 = 284 n3 = 10 ics = 11 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 n1 = 28 n2 = 285 n3 = 290 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 n1 = 84 n2 = 295 n3 = 297 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 n1 = 132 n2 = 296 n3 = 298 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 n1 = 180 n2 = 286 n3 = 291 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 n1 = 196 n2 = 287 n3 = 292 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2

2710


vm-nr1677-02-1a Input Listing nrotat,n3 csys,0 allsel,all,all /com,---------------------------------------------------------------------------/com, /com, Constraints /com,************* nsel,,node,,282,298 d,all,all allsel d,1,rotx,,,,,roty,rotz d,239,rotx,,,,,roty,rotz allsel,all,all finish

/com /com,============== /com, Modal solve /com,============== /com, /solution antype,modal ! Perform Modal Analysis modopt,lanb,maxm lumpm,on ! Use Lumped Mass Approximation mxpand,maxm,,,yes ! Expand solution with Element Calculations ON solve finish /post1 /out, /com, ******************************* /com, Frequencies from Modal solve /com, ******************************* set,list finish

/com,---------------------------------------------------------------------------/out,scratch /com, /com,================== /com, Spectrum solve /com,================== /com, /solution antype,spectrum ! Perform Spectrum Analysis spopt,sprs,15 ! Single Point Excitation Response Spectrum srss,0.0 ! SRSS mode combination gval = 386.4 svtyp, 2, gval freq, 2.5 , 5.0 , 8.0, 12.35, 13.51, 16.95, sv,, 2.275, 2.275, 1.0, 0.8, 0.925, 0.925, freq, 34.48 sv,, 0.875 sed,1,0,0 ! Excitation in X direction SOLVE svtyp, 2, gval freq freq, 2.5 , 5.0

,

8.0,

12.35,

13.51,

16.95,

20.83, 0.8 ,

23.25, 1.0 ,

29.41 1.0

20.83,

23.25,

29.41


2711

NRC Piping Benchmarks Input Listings sv,, 1.517, 1.517, 0.667, 0.534, 0.617, 0.617, freq, 34.48 sv,, 0.584 sed,0,1,0 ! Excitation in Y direction SOLVE fini

0.534, 0.667,

0.667

/com,---------------------------------------------------------------------------/post1 /input,,mcom

/out, /com, *================================================================ /com, * Maximum nodal displacements and rotations from spectrum solve /com, *================================================================= /out,scratch *GET,AdisX,NODE,19,U,X *GET,AdisY,NODE,275,U,Y *GET,AdisZ,NODE,11,U,Z *GET,ArotX,NODE,220,ROT,X *GET,ArotY,NODE,11,ROT,Y *GET,ArotZ,NODE,265,ROT,Z /out, *stat,AdisX *stat,AdisY *stat,AdisZ *stat,ArotX *stat,ArotY *stat,ArotZ

/com, *======================================================== /com, * Element Forces and Moments from spectrum solve /com, *========================================================== /out,scratch /com,========== /com, Node I /com,========== /com, Element #120 (Pipe289 element) /com,************************

esel,s,elem,,120 etable,pxi_120,smisc,1 etable,vyi_120,smisc,6 etable,vzi_120,smisc,5 etable,txi_120,smisc,4 etable,myi_120,smisc,2 etable,mzi_120,smisc,3 esel,all /out, /com, ********************************************** /com, Element forces and moments at element120, node i /com, ************************************************ pretab,pxi_120,vyi_120,vzi_120,txi_120,myi_120,mzi_120


2712


vm-nr1677-02-1a Input Listing /com, Element #120 (Pipe289 element) /com,************************ esel,s,elem,,120 etable,pxj_120,smisc,14 etable,vyj_120,smisc,19 etable,vzj_120,smisc,18 etable,txj_120,smisc,17 etable,myj_120,smisc,15 etable,mzj_120,smisc,16 esel,all /out, /com, ********************************************** /com, Element forces and moments at element120, node j /com, ************************************************ pretab,pxj_120,vyj_120,vzj_120,txj_120,myj_120,mzj_120

/out,scratch

/com,========== /com, Node I /com,========== /com, Element #131 (Elbow 290 element1) /com,************************* esel,s,elem,,131 etable,pxi_131,smisc,1 etable,vyi_131,smisc,6 etable,vzi_131,smisc,5 etable,txi_131,smisc,4 etable,myi_131,smisc,2 etable,mzi_131,smisc,3 esel,all /out, /com, ********************************************** /com, Element forces and moments at element131, node i /com, ************************************************ pretab,pxi_131,vyi_131,vzi_131,txi_131,myi_131,mzi_131


/com, Element #131 (Elbow290 element) /com,************************ esel,s,elem,,131 etable,pxj_131,smisc,36 etable,vyj_131,smisc,41 etable,vzj_131,smisc,40 etable,txj_131,smisc,39 etable,myj_131,smisc,37 etable,mzj_131,smisc,38 esel,all allsel,all /out, /com, ********************************************** /com, Element forces and moments at element131, node j


2713

NRC Piping Benchmarks Input Listings /com, ************************************************ pretab,pxj_131,vyj_131,vzj_131,txj_131,myj_131,mzj_131

/com,---------------------------------------------------------------------------/com, *************************************** /com, Reaction forces from spectrum solve /com, **************************************** prrsol finish

vm-nr1677-02-1b Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-02-1b /title,vm-nr1677-02-1b,NRC piping benchmarks problems,Volume II, Problem 1b /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com,


Elements used: Pipe289, Elbow290 and Combin14 Results : The following results are outputted 1. Frequencies obtained from modal solution. 2. Maximum nodal displacements and rotations obtained from spectrum solution. 3. Element forces/moments obtained from spectrum solution. 4. Reaction forces obtained from spectrum solution. *******************************************************************************

/out,scratch

/PREP7 YoungModulus1 = .258e+8 Nu = 0.3 ShearModulus1 = YoungModulus1/(2*(1+Nu)) WMass = 1.042868e-03

! ! ! !

WTick=0.216 OD=3.5






et,3,combin14 keyopt,3,2,1 et,4,combin14, keyopt,4,2,2 et,5,combin14 keyopt,5,2,3 et,6,combin14 keyopt,6,2,1

2714

Young's Modulus Poissons ratio Shear Modulus Density

! Spring-damper elements ! UX Degree Of Freedom ! Spring-damper elements ! UY Degree Of Freedom ! Spring-damper elements ! UZ Degree Of Freedom ! Spring-damper elements ! UX Degree Of Freedom


vm-nr1677-02-1b Input Listing et,7,combin14 keyopt,7,2,2

! Spring-damper elements ! UY Degree Of Freedom

/com, /com, Real Constants /com,**************** sectype,1,PIPE,ctube secdata,OD,WTick,24 r,3,0.2e+8 r,4,0.2e+8 r,5,0.2e+8 r,6,0.2e+5 r,7,0.2e+5

! ! ! ! !


/com,---------------------------------------------------------------------------/com, /com, Material Properties /com,********************* mp,ex,1,YoungModulus1 mp,nuxy,1,Nu mp,gxy,1,ShearModulus1 mp,dens,1,WMass mp,ex,2,YoungModulus1 mp,nuxy,2,Nu mp,gxy,2,ShearModulus1 mp,dens,2,WMass /com,---------------------------------------------------------------------------/com, Keypoints /com,*********** k,1,0,0,0 k,2,0,12,0 k,3,35.687,60,32.110 k,4,55,60,49.5 k,5,74.329,60,66.882 k,6,110,12,99 k,7,110,0,99 k,8,110,-24,99, k,9,110,-48,99, k,10,110,-72,99 k,11,110,-96,99 k,12,110,-120,99 k,13,110,-144,99 k,14,110,-168,99 k,15,110,-198,99 k,16,110,-228,99 k,17,110,-252,99 k,18,110,-276,99 k,19,110,-300,99 k,20,110,-324,99 k,21,99.6,-349.4,99 k,22,89.2,-374.8,99 k,23,78.8,-400,99 k,24,68.4,-425.6,99 k,25,58,-451,99 k,26,58,-475,99 k,27,58,-487,99 k,28,103.537,-535,114.179 k,29,124.269,-535,121.1 k,30,145,-535,128 k,31,184.975,-535,123.615 k,32,214.8,-536,102.8 k,33,254.585,-535,81.849 k,34,279.312,-535,75


2715

NRC Piping Benchmarks Input Listings k,35,331,-535,75 k,36,383,-535,75 /com, /com, Elastic support Keypoints /com,*************************** k,37,10,0,0 k,38,0,10,0 k,39,0,0,10 k,40,55,70,49.5 k,41,110,0,109 k,42,120,0,99 k,43,110,-168,109 k,44,120,-168,109 k,45,110,-324,109 k,46,120,-324,99 k,47,58,-475,109 k,48,68,-475,99 k,49,103.537,-545,114.179 k,50,103.537,-535,104.179 k,51,393,-535,75 k,52,383,-545,75 k,53,383,-535,85 /com,---------------------------------------------------------------------------/com, /com, Modeling of Straight Pipe (Tangent) /com,************************************ l, 1, 2 l, 3, 4 l, 4, 5 l, 6, 7 l, 7, 8 l, 8, 9 l, 9,10 l,10,11 l,11,12 l,12,13 l,13,14 l,14,15 l,15,16 l,16,17 l,17,18 l,18,19 l,19,20 l,20,21 l,21,22 l,22,23 l,23,24 l,24,25 l,25,26 l,26,27 l,28,29 l,29,30 l,31,32 l,32,33 l,34,35 l,35,36

! line number 30


2716

! line number 35


vm-nr1677-02-1b Input Listing /com, Elastic supports and anchors /com,****************************** l,1,37 l,36,51 l,4,40 l,7,41 l,26,47 l,28,49

! ! ! ! ! !

36 37 38 39 40 41

l,1,38 l,36,52 l,7,42 l,26,48 l,28,50

! ! ! ! !

42 43 44 45 46

l,1,39 l,36,53

! 47 ! 48

l,14,43 l,20,45

! 49 ! 50

l,14,44 l,20,46

! 51 ! 52


lsel,s,line,,1,30 allsel,below,line lesize,all,,,4 lmesh,all allsel,all,all /com, ********************************** /com, Meshing for bend pipe /com, ********************************** type,2 secnum,1 mat,2 lsel,s,,,31,35 allsel,below,line lesize,all,,,4 lmesh,all allsel,all,all

/com, ***************************************************************** /com, Converting Straight pipes with smaller lengths into bend pipes for /com, better accuracy /com, ***************************************************************** elbow,on,,,sect esel,s,ename,,290 nsle,s esln,s nsle,s esln,s nsle,s esln,s esel,u,ename,,290


2717

NRC Piping Benchmarks Input Listings emodif,all,type,2 allsel,all

/com, **************************** /com, Spring - damper elements /com, ****************************** type,3 real,3 lsel,s,,,36,41 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all type,4 real,4 lsel,s,,,42,46 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all type,5 real,5 lsel,s,,,47,48 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all type,6 real,6 lsel,s,,,49,50 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all type,7 real,7 lsel,s,,,51,52 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all

n1 = 11 n2 = 284 n3 = 10 ics = 11 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 n1 = 28 n2 = 285

2718


vm-nr1677-02-1b Input Listing n3 = 290 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 n1 = 84 n2 = 295 n3 = 297 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 n1 = 132 n2 = 296 n3 = 298 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 n1 = 180 n2 = 286 n3 = 291 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 n1 = 196 n2 = 287 n3 = 292 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 allsel,all,all /com,---------------------------------------------------------------------------/com, /com, Constraints /com,************* nsel,,node,,282,298 d,all,all allsel d,1,rotx,,,,,roty,rotz d,239,rotx,,,,,roty,rotz allsel,all,all finish


2719

NRC Piping Benchmarks Input Listings /com /com,============== /com, Modal solve /com,============== /com, /solution antype,modal ! Perform Modal Analysis modopt,lanb,maxm lumpm,on ! Use Lumped Mass Approximation mxpand,maxm,,,yes ! Expand solution with Element Calculations ON solve finish /post1 /out, /com, ******************************* /com, Frequencies from Modal solve /com, ******************************* set,list finish

/com,---------------------------------------------------------------------------/out,scratch /com, /com,================== /com, Spectrum solve /com,================== /com, /solution antype,spectr spopt,mprs,15


gval = 386.4 /com, /com, spectrum 1 (group 1 - upperLevel - X) /com,*************************************** spunit,1,accg, gval spfrq,1, 2.5 , 5.0 , 8.0, 12.35, 13.51, 16.95, 20.83 spval,1,, 2.275, 2.275, 1.0, 0.8, 0.925, 0.925, 0.8 spfrq,1, 23.25, 29.41, 34.48 spval,1,, 1.0 , 1.0, 0.875 /com, /com, spectrum 2 (group 1 - upperLevel - Y=0.667X) /com,********************************************** spunit,2,accg, gval spfrq,2, 2.5 , 5.0 , 8.0, 12.35, 13.51, 16.95, 20.83 spval,2,, 1.517, 1.517, 0.667, 0.534, 0.617, 0.617, 0.534 spfrq,2, 23.25, 29.41, 34.48 spval,2,, 0.667 , 0.667, 0.584 /com, /com, spectrum 3 (group 2 - lowerLevel - X) /com,*************************************** spunit, 3,accg, gval spfrq,3, 3.0 , 4.0 , 7.0, 12.5, 14.1, 15.87, 21.74 spval,3,, 1.4 , 1.4 , 0.75, 0.875, 0.7, 0.7, 0.8 spfrq,3, 23.25, 27.03, 31.25, 34.48 spval,3,, 0.75, 0.75, 0.7, 0.6 /com, /com, spectrum 4 (group 2 - lowerLevel - Y=0.667X) /com,**********************************************

2720


vm-nr1677-02-1b Input Listing spunit,4,accg, gval spfrq,4, 3.0 , 4.0 , 7.0, 12.5, 14.1, 15.87, 21.74 spval,4,, 0.934, 0.934, 0.5 , 0.584, 0.467, 0.467, 0.534 spfrq,4, 23.25, 27.03, 31.25, 34.48 spval,4,, 0.5, 0.5, 0.467, 0.4 /com, /com, node components for excitation points /com,*************************************** nsel,s,node,,282 nsel,a,node,,284,285 nsel,a,node,,288 nsel,a,node,,290 nsel,a,node,,293 cm,upperLevel,node allsel,all,all nsel,s,node,,283 nsel,a,node,,286,287 nsel,a,node,,289 nsel,a,node,,291,292 nsel,a,node,,294,298 cm,lowerLevel,node allsel,all,all /com, -- upper level - spectrum 1 d,282,ux,1 d,288,ux,1 d,293,ux,1 d,285,uy,1 d,290,uy,1 pfact,1 d,upperLevel,all,0 /com, -- upper level - spectrum 2 d,282,uy,1 d,288,uy,1 d,293,uy,1 d,284,ux,1 d,285,uz,1 d,290,uz,1 pfact,2 d,upperLevel,all,0 /com, -- lower level - spectrum 3 d,295,uy,1,,298 d,291,uy,1 d,286,uy,1 d,287,uz,1 d,292,uz,1 d,283,ux,1 d,289,ux,1 d,294,ux,1 pfact,3 d,lowerLevel,all,0 /com, -- lower level - spectrum 4 d,295,uz,1,,298 d,291,uz,1 d,286,uz,1 d,287,ux,-1 d,292,ux,-1 d,283,uy,1 d,289,uy,1 d,294,uy,1 pfact,4 d,lowerLevel,all,0 srss,0.0 solve

! Combine modes using SRSS mode combination


2721

NRC Piping Benchmarks Input Listings finish /com,-----------------------------------------------------------------------------------/post1 /input,,mcom /out, /com, *================================================================ /com, * Maximum nodal displacements and rotations from spectrum solve /com, *================================================================ /out,scratch *GET,AdisX,NODE,19,U,X *GET,AdisY,NODE,226,U,Y *GET,AdisZ,NODE,224,U,Z *GET,ArotX,NODE,196,ROT,X *GET,ArotY,NODE,208,ROT,Y *GET,ArotZ,NODE,211,ROT,Z /out, *stat,AdisX *stat,AdisY *stat,AdisZ *stat,ArotX *stat,ArotY *stat,ArotZ



/out,scratch /com,========== /com, Node J /com,========== /com, Element #120 (Pipe289 element) /com,************************ esel,s,elem,,120 etable,pxj_120,smisc,14 etable,vyj_120,smisc,19

2722


vm-nr1677-02-1b Input Listing etable,vzj_120,smisc,18 etable,txj_120,smisc,17 etable,myj_120,smisc,15 etable,mzj_120,smisc,16 esel,all /out, /com, ********************************************** /com, Element forces and moments at element120, node j /com, ************************************************ pretab,pxj_120,vyj_120,vzj_120,txj_120,myj_120,mzj_120

/out,scratch

/com,========== /com, Node I /com,========== /com, Element #131 (Elbow 290 element) /com,************************* esel,s,elem,,131 etable,pxi_131,smisc,1 etable,vyi_131,smisc,6 etable,vzi_131,smisc,5 etable,txi_131,smisc,4 etable,myi_131,smisc,2 etable,mzi_131,smisc,3 esel,all /out, /com, ********************************************** /com, Element forces and moments at element131, node i /com, ************************************************ pretab,pxi_131,vyi_131,vzi_131,txi_131,myi_131,mzi_131


/com, Element #131 (Elbow290 element) /com,************************ esel,s,elem,,131 etable,pxj_131,smisc,36 etable,vyj_131,smisc,41 etable,vzj_131,smisc,40 etable,txj_131,smisc,39 etable,myj_131,smisc,37 etable,mzj_131,smisc,38 esel,all allsel,all /out, /com, ********************************************** /com, Element forces and moments at element131, node j /com, ************************************************ pretab,pxj_131,vyj_131,vzj_131,txj_131,myj_131,mzj_131


2723

NRC Piping Benchmarks Input Listings /com,---------------------------------------------------------------------------/com, *************************************** /com, Reaction forces from spectrum solve /com, *************************************** prrsol finish

vm-nr1677-02-1c Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-02-1c /title,vm-nr1677-02-1c,NRC piping benchmarks from NUREG/CR1677 VOL II, Problem 1c /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com,

*************************************************************************** Reference: Piping benchmark problems,Dynamic analysis independant support motion response spectrum method, P. Bezler, M. Subudhi and M.Hartzman, August 1985. Elements used: Pipe289, Elbow290 and Combin14 Results : The following results are outputted 1. Frequencies obtained from modal solution. 2. Maximum nodal displacements and rotations obtained from spectrum solution. 3. Element forces/moments obtained from spectrum solution. 4. Reaction forces obtained from spectrum solution. *******************************************************************************

/out,scratch /out,scratch

/PREP7 YoungModulus1 = .258e+8 Nu = 0.3 ShearModulus1 = YoungModulus1/(2*(1+Nu)) WMass = 1.042868e-03

! ! ! !

WTick=0.216 OD=3.5









/com, /com, Real Constants /com,****************

2724


vm-nr1677-02-1c Input Listing sectype,1,PIPE,ctube secdata,OD,WTick,24 r,3,0.2e+8 r,4,0.2e+8 r,5,0.2e+8 r,6,0.2e+5 r,7,0.2e+5

! ! ! ! !


/com,---------------------------------------------------------------------------/com, /com, Material Properties /com,********************* mp,ex,1,YoungModulus1 mp,nuxy,1,Nu mp,gxy,1,ShearModulus1 mp,dens,1,WMass mp,ex,2,YoungModulus1 mp,nuxy,2,Nu mp,gxy,2,ShearModulus1 mp,dens,2,WMass /com,---------------------------------------------------------------------------/com, Keypoints /com,*********** k,1,0,0,0 k,2,0,12,0 k,3,35.687,60,32.110 k,4,55,60,49.5 k,5,74.329,60,66.882 k,6,110,12,99 k,7,110,0,99 k,8,110,-24,99, k,9,110,-48,99, k,10,110,-72,99 k,11,110,-96,99 k,12,110,-120,99 k,13,110,-144,99 k,14,110,-168,99 k,15,110,-198,99 k,16,110,-228,99 k,17,110,-252,99 k,18,110,-276,99 k,19,110,-300,99 k,20,110,-324,99 k,21,99.6,-349.4,99 k,22,89.2,-374.8,99 k,23,78.8,-400,99 k,24,68.4,-425.6,99 k,25,58,-451,99 k,26,58,-475,99 k,27,58,-487,99 k,28,103.537,-535,114.179 k,29,124.269,-535,121.1 k,30,145,-535,128 k,31,184.975,-535,123.615 k,32,214.8,-536,102.8 k,33,254.585,-535,81.849 k,34,279.312,-535,75 k,35,331,-535,75 k,36,383,-535,75 /com, /com, Elastic support Keypoints /com,***************************


2725

NRC Piping Benchmarks Input Listings k,37,10,0,0 k,38,0,10,0 k,39,0,0,10 k,40,55,70,49.5 k,41,110,0,109 k,42,120,0,99 k,43,110,-168,109 k,44,120,-168,109 k,45,110,-324,109 k,46,120,-324,99 k,47,58,-475,109 k,48,68,-475,99 k,49,103.537,-545,114.179 k,50,103.537,-535,104.179 k,51,393,-535,75 k,52,383,-545,75 k,53,383,-535,85 /com,---------------------------------------------------------------------------/com, /com, Modeling of Straight Pipe (Tangent) /com,************************************ l, 1, 2 l, 3, 4 l, 4, 5 l, 6, 7 l, 7, 8 l, 8, 9 l, 9,10 l,10,11 l,11,12 l,12,13 l,13,14 l,14,15 l,15,16 l,16,17 l,17,18 l,18,19 l,19,20 l,20,21 l,21,22 l,22,23 l,23,24 l,24,25 l,25,26 l,26,27 l,28,29 l,29,30 l,31,32 l,32,33 l,34,35 l,35,36

! line number 30


! line number 35

/com, Elastic supports and anchors /com,****************************** l,1,37 l,36,51 l,4,40 l,7,41

2726

! ! ! !

36 37 38 39


vm-nr1677-02-1c Input Listing l,26,47 l,28,49

! 40 ! 41

l,1,38 l,36,52 l,7,42 l,26,48 l,28,50

! ! ! ! !

l,1,39 l,36,53

! 47 ! 48

l,14,43 l,20,45

! 49 ! 50

l,14,44 l,20,46

! 51 ! 52

42 43 44 45 46


lsel,s,line,,1,30 allsel,below,line lesize,all,,,4 lmesh,all allsel,all,all /com, ********************************** /com, Meshing for bend pipe /com, ********************************** type,2 secnum,1 mat,2 lsel,s,,,31,35 allsel,below,line lesize,all,,,4 lmesh,all allsel,all,all

/com, ***************************************************************** /com, Converting Straight pipes with smaller lengths into bend pipes for /com, better accuracy /com, ***************************************************************** elbow,on,,,sect esel,s,ename,,290 nsle,s esln,s nsle,s esln,s nsle,s esln,s esel,u,ename,,290 emodif,all,type,2 allsel,all

/com, **************************** /com, Spring - damper elements /com, ******************************


2727


type,3 real,3 lsel,s,,,36,41 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all type,4 real,4 lsel,s,,,42,46 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all type,5 real,5 lsel,s,,,47,48 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all type,6 real,6 lsel,s,,,49,50 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all type,7 real,7 lsel,s,,,51,52 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all

n1 = 11 n2 = 284 n3 = 10 ics = 11 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 n1 = 28 n2 = 285 n3 = 290 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3

2728


vm-nr1677-02-1c Input Listing csys,0 n1 = 84 n2 = 295 n3 = 297 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 n1 = 132 n2 = 296 n3 = 298 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 n1 = 180 n2 = 286 n3 = 291 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 n1 = 196 n2 = 287 n3 = 292 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 allsel,all,all /com,---------------------------------------------------------------------------/com, /com, Constraints /com,************* nsel,,node,,282,298 d,all,all allsel d,1,rotx,,,,,roty,rotz d,239,rotx,,,,,roty,rotz allsel,all,all finish

/com /com,============== /com, Modal solve /com,============== /com, /solution


2729

NRC Piping Benchmarks Input Listings antype,modal ! Perform Modal Analysis modopt,lanb,maxm lumpm,on ! Use Lumped Mass Approximation mxpand,maxm,,,yes ! Expand solution with Element Calculations ON solve finish /post1 /out, /com, ******************************* /com, Frequencies from Modal solve /com, ******************************* set,list finish

/com,---------------------------------------------------------------------------/out,scratch /com, /com,================== /com, Spectrum solve /com,================== /com, /solution antype,spectr spopt,mprs,15


gval = 386.4 /com, /com, spectrum 1 (group 1 - upperLevel - X) /com,*************************************** spunit,1,accg,gval spfrq,1, 2.5 , 5.0 , 8.0, 12.35, 13.51, 16.95, 20.83 spval,1,, 2.275, 2.275, 1.0, 0.8, 0.925, 0.925, 0.8 spfrq,1, 23.25, 29.41, 34.48 spval,1,, 1.0 , 1.0, 0.875 /com, /com, spectrum 2 (group 1 - upperLevel - Y = 0.667X) /com,************************************************ spunit,2,accg,gval spfrq,2, 2.5 , 5.0 , 8.0, 12.35, 13.51, 16.95, 20.83 spval,2,, 1.517, 1.517, 0.667, 0.534, 0.617, 0.617, 0.534 spfrq,2, 23.25, 29.41, 34.48 spval,2,, 0.667 , 0.667, 0.584 /com, /com, spectrum 3 (group 2 - lowerLevel - X) /com,*************************************** spunit,3,accg,gval spfrq,3, 3.0 , 4.0 , 7.0, 12.5, 14.1, 15.87, 21.74 spval,3,, 1.4 , 1.4 , 0.75, 0.875, 0.7, 0.7, 0.8 spfrq,3, 23.25, 27.03, 31.25, 34.48 spval,3,, 0.75, 0.75, 0.7, 0.6 /com, /com, spectrum 4 (group 2 - lowerLevel - Y = 0.667X) /com,************************************************ spunit,4,accg,gval spfrq,4, 3.0 , 4.0 , 7.0, 12.5, 14.1, 15.87, 21.74 spval,4,, 0.934, 0.934, 0.5 , 0.584, 0.467, 0.467, 0.534 spfrq,4, 23.25, 27.03, 31.25, 34.48 spval,4,, 0.5, 0.5, 0.467, 0.4 /com,

2730


vm-nr1677-02-1c Input Listing /com, node components for excitation points /com,*************************************** nsel,s,node,,282,283 nsel,a,node,,286,287 nsel,a,node,,290,291 cm,upperLevel,node allsel,all,all nsel,s,node,,284,285 nsel,a,node,,288,289 nsel,a,node,,292,293 nsel,a,node,,294,298 cm,lowerLevel,node allsel,all,all /com, **************************************************** /com, -- upper level - spectrum 1 (Along X - direction) sed,1,,,upperLevel pfact,1 sed,0,,,upperLevel /com, -- lower level - spectrum 3 (Along X - direction) sed,1,,,lowerLevel pfact,3 sed,0,,,lowerLevel /com, -- upper level - spectrum 2 (Along Y - direction) sed,,1,,upperLevel pfact,2 sed,,0,,upperLevel /com, -- lower level - spectrum 4 (Along Y - direction) sed,,1,,lowerLevel pfact,4 sed,,0,,lowerLevel srss,0.0,,YES ! activate Absolute Sum for MPRS solve finish /com,-----------------------------------------------------------------------------------/post1 /input,,mcom

/out, /com, *================================================================ /com, * Maximum nodal displacements and rotations from spectrum solve /com, *================================================================= /out,scratch *GET,AdisX,NODE,19,U,X *GET,AdisY,NODE,229,U,Y *GET,AdisZ,NODE,11,U,Z *GET,ArotX,NODE,254,ROT,X *GET,ArotY,NODE,11,ROT,Y *GET,ArotZ,NODE,254,ROT,Z /out, *stat,AdisX *stat,AdisY *stat,AdisZ


2731

NRC Piping Benchmarks Input Listings *stat,ArotX *stat,ArotY *stat,ArotZ



/out,scratch /com,========== /com, Node J /com,========== /com, Element #120 (Pipe289 element) /com,************************ esel,s,elem,,120 etable,pxj_120,smisc,14 etable,vyj_120,smisc,19 etable,vzj_120,smisc,18 etable,txj_120,smisc,17 etable,myj_120,smisc,15 etable,mzj_120,smisc,16 esel,all /out, /com, ********************************************** /com, Element forces and moments at element120, node j /com, ************************************************ pretab,pxj_120,vyj_120,vzj_120,txj_120,myj_120,mzj_120

/out,scratch

/com,========== /com, Node I /com,========== /com, Element #131 (Elbow 290 element1) /com,*************************

2732


vm-nr1677-02-2a Input Listing esel,s,elem,,131 etable,pxi_131,smisc,1 etable,vyi_131,smisc,6 etable,vzi_131,smisc,5 etable,txi_131,smisc,4 etable,myi_131,smisc,2 etable,mzi_131,smisc,3 esel,all /out, /com, ********************************************** /com, Element forces and moments at element131, node i /com, ************************************************ pretab,pxi_131,vyi_131,vzi_131,txi_131,myi_131,mzi_131


/com, Element #131 (Elbow290 element) /com,************************ esel,s,elem,,131 etable,pxj_131,smisc,36 etable,vyj_131,smisc,41 etable,vzj_131,smisc,40 etable,txj_131,smisc,39 etable,myj_131,smisc,37 etable,mzj_131,smisc,38 esel,all allsel,all /out, /com, ********************************************** /com, Element forces and moments at element131, node j /com, ************************************************ pretab,pxj_131,vyj_131,vzj_131,txj_131,myj_131,mzj_131

/com,---------------------------------------------------------------------------/com, ************************************** /com, Reaction forces from spectrum solve /com, ************************************** prrsol finish

vm-nr1677-02-2a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-02-2a /title,vm-nr1677-02-2a,NRC piping benchmarks problems,Volume II, Problem 2a /com, *************************************************************************** /com, Reference: Piping benchmark problems,Dynamic analysis independant support /com, motion response spectrum method, P. Bezler, M. Subudhi and /com, M.Hartzman, NUREG/CR--1677-Vol.2, August 1985. /com,


2733


Elements used: PIPE289, ELBOW290, COMBIN14 and MASS21 Results: The following results are outputted 1. Frequencies obtained from modal solution. 2. Maximum nodal displacements and rotations obtained from spectrum solution. 3. Element forces/moments obtained from spectrum solution. 4. Reaction forces obtained from spectrum solution. *******************************************************************************

/out,scratch /prep7 YoungModulus1 = .240e+8 ! Young's Modulus Nu = 0.3 ! Minor Poisson's Ratio ShearModulus1 = YoungModulus1/(2*(1+Nu)) ! Shear Modulus WMass = 0.001056893 ! Density WTick = 0.241 ! Wall Thickness K = 0.71e-5 OD = 7.288 RADCUR = 36.30 temp = 80 maxm = 25

! Outer Diameter ! Radius of Curvature ! Temperature ! No. of Modes to Extract

et,1,pipe289,,, et,2,elbow290,,6 et,3,combin14 keyopt,3,2,1 et,4,combin14 keyopt,4,2,2 et,5,combin14 keyopt,5,2,3 et,6,mass21 keyopt,6,3,2

! Element 1 - PIPE289 ! Element 2 - ELBOW290 ! Element 3 - COMBIN14 ! X Degree of Freedom ! Element 4 - COMBIN14 ! Y Degree of Freedom ! Element 5 - COMBIN14 ! Z Degree of Freedom ! Element 6 - MASS21 ! 3D mass without inertia

/com,-----------------------------------------------------------------------------------/com, Real Constants /com,**************** sectype,1,PIPE,ctube secdata,OD,WTick,24 r,3,0.1e+5 r,4,0.1e+9 r,5,0.1e+11 r,6,1.518 /com,-----------------------------------------------------------------------------------/com, Material Properties /com,********************* mp,ex, 1, YoungModulus1 mp,nuxy,1, Nu mp,gxy ,1, ShearModulus1 mp,dens,1, WMass mp,kxx,1, K mp,ex, 2, YoungModulus1 mp,nuxy,2, Nu mp,gxy ,2, ShearModulus1 mp,dens,2, WMass mp,kxx,2, K /com,------------------------------------------------------------------------------------

2734



/com, Keypoints /com,********** k,1,0,0,0 k,2,0,54.45,0 k,3,0,108.9,0 k,4,10.632,134.568,0 k,5,36.3,145.2,0 k,6,54.15,145.2,0 k,7,72.0,145.2,0 k,8,97.668,145.2,10.632 k,9,108.3,145.2,36.3 k,10,108.3,145.2,56.8 k,11,108.3,145.2,77.3 k,12,108.3,145.2,97.8 k,13,108.3,145.2,118.3 k,14,108.3,145.2,188.8 k,15,108.3,181.5,225.1 k,16,108.3,236,225.1 k,17,108.3,290,225.1 k,18,148.3,145.2,97.8 k,19,188.3,145.2,97.8 k,20,224.6,145.2,61.5 k,21,224.6,145.2,20 /com, /com, Elastic Support Keypoints /com,************************** k,22,1,0,0 k,23,0,1,0 k,24,0,0,1 k,25,72,145.2,-1 k,26,109.3,145.2,36.3 k,27,108.3,146.2,77.3 k,28,108.3,146.2,118.3 k,29,107.3,182.5,226.5 k,30,109.3,290,225.1 k,31,108.3,291,225.1 k,32,108.3,290,226.1 k,33,225.6,145.2,20 k,34,224.6,146.2,20 k,35,224.6,145.2,21 /com,-----------------------------------------------------------------------------------/com, /com, Modeling for Straight Pipe /com,********************************** l, 1, 2 l, 2, 3 l, 5, 6 l, 6, 7 l, 9,10 l,10,11 l,11,12 l,12,13 l,13,14 l,15,16 l,16,17 l,12,18 l,18,19 l,20,21 /com, /com, Modeling for Pipe Bend /com,************************ larc, 3, 4, 2, RADCUR larc, 4, 5, 6, RADCUR


2735

NRC Piping Benchmarks Input Listings larc, 7, 8, 6, larc, 8, 9,10, larc,14,15,16, larc,19,20,18,

RADCUR RADCUR RADCUR RADCUR

/com, /com, Modeling for Elastic Supports and Anchors /com,******************************************* l,11,27 l,13,28 l,9,26 l,15,29 l,7,25 l,1,22 l,17,30 l,21,33 l,1,23 l,17,31 l,21,34 l,1,24 l,17,32 l,21,35 /com, ********************************** /com, Meshing for Straight pipe /com, ********************************** type,1 secnum,1 mat,1 lsel,r,,,1,14 allsel,below,line lesize,all,,,2 lmesh,all allsel,all,all type,2 secnum,1 mat,2 lsel,r,,,15,20 allsel,below,line lesize,all,,,4 lmesh,all allsel,all,all /com, ***************************************************************** /com, Converting some PIPE289 into ELBOW290 using ELBOW command /com, ***************************************************************** elbow,on,,,sect allsel,all /com, **************************** /com, Elastic supports and anchors /com, **************************** type,3 real,4

!local x ! 0.1e+9

lsel,r,,,23,24 allsel,below,line lesize,all,,,1

2736


vm-nr1677-02-2a Input Listing lmesh,all allsel,all,all real,5

! 0.1e+11

lsel,r,,,26,28 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all type,4 real,3

! local y ! 0.1e+5

lsel,r,,,21,22 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all real,5 lsel,r,,,29,31 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all type,5 real,4

!local z ! 0.1e+9

lsel,r,,,25 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all real,5 lsel,r,,,32,34 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all

n1 = 40 n2 = 107 n3 = 41 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,11,0 nrotat,n1 nrotat,n2 csys,0 /com /com, Mass Elements /com,*************** type,6 real,6 e,49 /com,------------------------------------------------------------------------------------


2737

NRC Piping Benchmarks Input Listings /com, /com, Constraints /com,************* nsel,,node,,106,119 d,all,all allsel d,1,rotx,,,,,roty,rotz d,58,rotx,,,,,roty,rotz allsel,all finish /com,-----------------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal ! Perform Modal Analysis modopt,lanb,maxm lumpm,on ! Use Lumped Mass Matrix Approximation mxpand,maxm,,,yes ! Expand Solutions with Element Calculations ON solve finish /post1 /out, /com, ******************************************* /com, Frequencies obtained from modal solution /com, ******************************************** set,list finish

/com,-----------------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /out,scratch /solution antype,spectr spopt,sprs,maxm srss,0.0

! Perform Spectrum Analysis ! Single Point Excitation Response Spectrum

gval = 386.4 /com, /com, spectrum 1 (X) /com,**************** svtyp, 2, gval freq,0.4,0.630119723,0.64516129,1.124985938,1.374948439,1.705029838,2.420135528,2.750275028,3.41997264 SV,,2.7,0.814,0.81,4.15,4.15,2.4,1.7,1.46,1.6, freq,4.679457183,5.720823799,6.600660066,9.900990099,15.12859304,16.50165017,39.0625 sv,,2.05,2.05,1.75,0.9,0.77,0.65,0.65,, sed,1,0,0 ! Excitation in X direction solve /com, /com, spectrum 2 (Y) - coef 1 /com,************************* svtyp, 2, gval freq

2738


vm-nr1677-02-2a Input Listing FREQ,0.4,0.740740741,1.124985938,1.374948439,1.759943682,2.474634991,3.571428571,5.399568035,6.600660066 SV,,0.34,1.15,2.87,2.87,1.5,0.9,0.87,1.32,1.32 FREQ,8.802816901,10.20408163,15.50387597,39.0625 Sv,,0.73,0.55,0.37,0.37 sed,0,1,0 ! Excitation in Y direction solve /com /com, spectrum 2 (Z) - coef 1 /com,************************* svtyp, 2, gval freq FREQ,0.4,0.689655172,1.124985938,1.374948439,1.766160367,2.699784017,4.500450045,5.500550055,6.501950585 SV,,0.34,1.06,3.55,3.55,1.95,1.08,1.38,1.38,1.3 FREQ,7.974481659,13.00390117,17.51313485,39.0625 SV,,1,0.65,0.55,0.55 sed,0,0,1 ! Excitation in Z direction solve finish /com,-----------------------------------------------------------------------------------/post1 /input,,mcom

/out, /com, /com,=============================================================== /com, Maximum nodal displacements and rotations from spectrum solution /com,=============================================================== /com, /out,scratch *GET,AdisX,NODE,95,U,X *GET,AdisY,NODE,84,U,Y *GET,AdisZ,NODE,40,U,Z *GET,ArotX,NODE,6,ROT,X *GET,ArotY,NODE,79,ROT,Y *GET,ArotZ,NODE,45,ROT,Z /out, *stat,AdisX *stat,AdisY *stat,AdisZ *stat,ArotX *stat,ArotY *stat,ArotZ /com,============================================================== /com, Element Forces and Moments obtained from spectrum solution /com,============================================================== /out,scratch /com,========== /com, Node I /com,========== /com, Element #1 (Pipe289 element) /com,************************

esel,s,elem,,1 etable,pxi_1,smisc,1 etable,vyi_1,smisc,6 etable,vzi_1,smisc,5 etable,txi_1,smisc,4


2739

NRC Piping Benchmarks Input Listings etable,myi_1,smisc,2 etable,mzi_1,smisc,3 esel,all /out, /com, ************************************************ /com, Element forces and moments at element1, node i /com, ************************************************ pretab,pxi_1,vyi_1,vzi_1,txi_1,myi_1,mzi_1


/out,scratch

/com,========== /com, Node I /com,========== /com, Element #41 (Elbow 290 element) /com,************************* esel,s,elem,,41 etable,pxi_41,smisc,1 etable,vyi_41,smisc,6 etable,vzi_41,smisc,5 etable,txi_41,smisc,4 etable,myi_41,smisc,2 etable,mzi_41,smisc,3 esel,all /out, /com, ************************************************* /com, Element forces and moments at element 41, node i /com, ************************************************ pretab,pxi_41,vyi_41,vzi_41,txi_41,myi_41,mzi_41


2740


vm-nr1677-02-2b Input Listing /com, Element #41 (Elbow290 element) /com,******************************** esel,s,elem,,41 etable,pxj_41,smisc,36 etable,vyj_41,smisc,41 etable,vzj_41,smisc,40 etable,txj_41,smisc,39 etable,myj_41,smisc,37 etable,mzj_41,smisc,38 esel,all allsel,all /out, /com, ********************************************** /com, Element forces and moments at element 41, node j /com, ************************************************ pretab,pxj_41,vyj_41,vzj_41,txj_41,myj_41,mzj_41

/com,---------------------------------------------------------------------------/com, *************************************** /com, Reaction forces from spectrum solution /com, **************************************** prrsol finish

vm-nr1677-02-2b Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-02-2b /title,vm-nr1677-02-2b,NRC piping benchmarks problems,Volume II,Problem 2b /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com,


Elements used: PIPE289, ELBOW290, COMBIN14 and MASS21 Results : The following results are outputted 1. Frequencies obtained from modal solution. 2. Maximum nodal displacements and rotations obtained from spectrum solution. 3. Element forces/moments obtained from spectrum solution. 4. Reaction forces obtained from spectrum solution. *******************************************************************************

/out,scratch /prep7 YoungModulus1 = .240e+8 ! Young's Modulus Nu = 0.3 ! Minor Poisson's Ratio ShearModulus1 = YoungModulus1/(2*(1+Nu)) ! Shear Modulus WMass = 0.001056893 ! Density WTick = 0.241 ! Wall Thickness K = 0.71e-5 OD = 7.288

! Outer Diameter


2741

NRC Piping Benchmarks Input Listings RADCUR = 36.30 temp = 80 maxm = 25

! Radius of Curvature ! Temperature ! No. of Modes to Extract

et,1,pipe289,,, et,2,elbow290,,6 et,3,combin14 keyopt,3,2,1 et,4,combin14 keyopt,4,2,2 et,5,combin14 keyopt,5,2,3 et,6,mass21 keyopt,6,3,2

! Element 1 - PIPE289 ! Element 2 - ELBOW290 ! Element 3 - COMBIN14 ! X Degree of Freedom ! Element 4 - COMBIN14 ! Y Degree of Freedom ! Element 5 - COMBIN14 ! Z Degree of Freedom ! Element 6 - MASS21 ! 3D mass without inertia

/com,-----------------------------------------------------------------------------------/com, Real Constants /com,**************** sectype,1,PIPE,ctube secdata,OD,WTick,24 r,3,0.1e+5 r,4,0.1e+9 r,5,0.1e+11 r,6,1.518 /com,-----------------------------------------------------------------------------------/com, Material Properties /com,********************* mp,ex, 1, YoungModulus1 mp,nuxy,1, Nu mp,gxy ,1, ShearModulus1 mp,dens,1, WMass mp,kxx,1, K mp,ex, 2, YoungModulus1 mp,nuxy,2, Nu mp,gxy ,2, ShearModulus1 mp,dens,2, WMass mp,kxx,2, K /com,-----------------------------------------------------------------------------------/com, Keypoints /com,********** k,1,0,0,0 k,2,0,54.45,0 k,3,0,108.9,0 k,4,10.632,134.568,0 k,5,36.3,145.2,0 k,6,54.15,145.2,0 k,7,72.0,145.2,0 k,8,97.668,145.2,10.632 k,9,108.3,145.2,36.3 k,10,108.3,145.2,56.8 k,11,108.3,145.2,77.3 k,12,108.3,145.2,97.8 k,13,108.3,145.2,118.3 k,14,108.3,145.2,188.8 k,15,108.3,181.5,225.1 k,16,108.3,236,225.1 k,17,108.3,290,225.1 k,18,148.3,145.2,97.8 k,19,188.3,145.2,97.8 k,20,224.6,145.2,61.5

2742


vm-nr1677-02-2b Input Listing k,21,224.6,145.2,20 /com, /com, Elastic Support Keypoints /com,************************** k,22,1,0,0 k,23,0,1,0 k,24,0,0,1 k,25,72,145.2,-1 k,26,109.3,145.2,36.3 k,27,108.3,146.2,77.3 k,28,108.3,146.2,118.3 k,29,107.3,182.5,226.5 k,30,109.3,290,225.1 k,31,108.3,291,225.1 k,32,108.3,290,226.1 k,33,225.6,145.2,20 k,34,224.6,146.2,20 k,35,224.6,145.2,21 /com,-----------------------------------------------------------------------------------/com, /com, Modeling for Straight Pipe /com,********************************** l, 1, 2 l, 2, 3 l, 5, 6 l, 6, 7 l, 9,10 l,10,11 l,11,12 l,12,13 l,13,14 l,15,16 l,16,17 l,12,18 l,18,19 l,20,21 /com, /com, Modeling for Pipe Bend /com,************************ larc, 3, 4, 2, larc, 4, 5, 6, larc, 7, 8, 6, larc, 8, 9,10, larc,14,15,16, larc,19,20,18,

RADCUR RADCUR RADCUR RADCUR RADCUR RADCUR

/com, /com, Modeling for Elastic Supports and Anchors /com,******************************************* l,11,27 l,13,28 l,9,26 l,15,29 l,7,25 l,1,22 l,17,30 l,21,33 l,1,23 l,17,31 l,21,34


2743


l,1,24 l,17,32 l,21,35 /com, ********************************** /com, Meshing for Straight pipe /com, ********************************** type,1 secnum,1 mat,1 lsel,r,,,1,14 allsel,below,line lesize,all,,,2 lmesh,all allsel,all,all type,2 secnum,1 mat,2 lsel,r,,,15,20 allsel,below,line lesize,all,,,4 lmesh,all allsel,all,all /com, ***************************************************************** /com, Converting some PIPE289 into ELBOW290 using ELBOW command /com, ***************************************************************** elbow,on,,,sect allsel,all /com, **************************** /com, Elastic supports and anchors /com, **************************** type,3 real,4

!local x ! 0.1e+9

lsel,r,,,23,24 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all real,5

! 0.1e+11


! local y ! 0.1e+5


2744


vm-nr1677-02-2b Input Listing


!local z ! 0.1e+9

lsel,r,,,25 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all real,5 lsel,r,,,32,34 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all

n1 = 40 n2 = 107 n3 = 41 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,11,0 nrotat,n1 nrotat,n2 csys,0 /com /com, Mass Elements /com,*************** type,6 real,6 e,49 /com,-----------------------------------------------------------------------------------/com, /com, Constraints /com,************* nsel,,node,,106,119 d,all,all allsel d,1,rotx,,,,,roty,rotz d,58,rotx,,,,,roty,rotz allsel,all finish /com,-----------------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal ! Perform Modal Analysis modopt,lanb,maxm


2745

NRC Piping Benchmarks Input Listings lumpm,on ! Use Lumped Mass Matrix Approximation mxpand,maxm,,,yes ! Expand Solutions with Element Calculations ON solve finish /post1 /out, /com, ******************************************* /com, Frequencies obtained from modal solution /com, ******************************************** set,list finish

/com,-----------------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /out,scratch /solution antype,spectr spopt,mprs,maxm


gval = 386.4 /com, /com, spectrum 1 (group 1 - X) /com,************************** spunit,1,accg, gval spfrq,1,0.4,0.719942405,0.900090009,1.099989,1.350074254,1.800180018,2.200220022 spval,1,, 0.13,0.22,0.57,0.57,0.38,0.63,0.63 spfrq,1,2.699784017,3.51000351,4.679457183,5.720823799,6.600660066,8.576329331,11.00110011 spval,1,, 0.75,1.15,1.42,1.42,1.29,0.85,0.42 spfrq,1,33.00330033,34.96503497,39.0625 spval,1,,0.25,0.22,0.22 /com, /com, spectrum 2 (group 1 - Y) /com,************************** spunit,2,accg, gval spfrq,2,0.4,0.639795266,0.900090009,1.099989,1.43000143,1.649892757,1.800180018 spval,2,,0.18,0.18,0.995,0.995,0.715,0.35,0.42, spfrq,2, 3.500175009,4.500450045,5.500550055,6.600660066,8.703220191,9.35453695,15.40832049 spval,2,,0.77,0.998,0.998,0.9,0.68,0.42,0.22 spfrq,2,16,28.49002849,31.94888179,39.0625 spval,2,,0.205,0.205,0.19,0.19 /com, /com, spectrum 3 (group 1 - Z) /com,************************** spunit,3,accg, gval spfrq,3,0.4,0.599880024,1.124985938,1.374948439,1.539882969,2.200220022,2.5 spval,3,, 0.17,0.17,1.6,1.6,0.78,0.3,0.3 spfrq,3,3.599712023,4.500450045,5.500550055,8.051529791,14.30615165,21.97802198,25.97402597 spval,3,,0.51,0.63,0.63,0.47,0.24,0.2,0.17 spfrq,3,39.0625 spval,3,,0.17

2746



/com, /com, spectrum 4 (group 2 - X) /com,************************** spunit,4,accg, gval spfrq,4,0.4,0.480076812,0.539956803,1.17000117,1.43000143,1.649892757,2 spval,4,,0.17,0.17,0.23,2.25,2.25,1.07,0.75 spfrq,4,3.300330033,17.6056338,21.97802198,39.0625 spval,4,,0.38,0.03,0.23,0.23 /com, /com, spectrum 5 (group 2 - Y) /com,************************** spunit,5,accg, gval spfrq,5,0.4,0.610128127,1.124985938,1.374948439,1.759943682,2.474634991,4.500450045 spval,5,,0.17,0.3,2.87,2.87,1.5,0.9,0.85 spfrq,5,5.500550055,8,15.50387597,39.0625 spval,5,,0.85,0.65,0.37,0.37 /com, /com, spectrum 6 (group 2 - Z) /com,************************** spunit,6,accg, gval spfrq,6,0.4,0.5,0.599880024,1.124985938,1.374948439,1.700102006,2.699784017 spval,6,,0.2,0.2,0.362,3.55,3.55,1.95,1.08 spfrq,6,4.500450045,5.500550055,6.501950585,7.974481659,13.00390117,17.51313485,39.0625 spval,6,,1.38,1.38,1.3,1,0.65,0.55,0.55 /com, /com, spectrum 7 (group 3 - X) /com,************************** spunit,7,accg, gval spfrq,7,0.4,0.60204696,1.124985938,1.374948439,1.705029838,2.420135528,2.750275028 spval,7,,0.18,0.42,4.15,4.15,2.4,1.7,1.46 spfrq,7,3.41997264,4.679457183,5.720823799,6.600660066,9.900990099,15.12859304,16.50165017 spval,7,,1.6,2.05,2.05,1.75,0.9,0.77,0.65 spfrq,7,39.0625 spval,7,,0.65 /com, /com, spectrum 8 (group 3 - Y) /com,************************** spunit,8,accg, gval spfrq,8,0.4,0.576036866,0.704225352,0.900090009,1.080030241,1.800180018,2.610284521 spval,8,,0.14,0.28,0.28,0.17,0.28,0.53,0.56 spfrq,8,5.399568035,6.600660066,8.802816901,11.00110011,24.75247525,27.47252747,40 spval,8,,1.32,1.32,0.73,0.42,0.25,0.23,0.23 /com, /com, spectrum 9 (group 3 - Z) /com,************************** spunit,9,accg, gval spfrq,9,0.4,0.603136309,0.736919676,0.934579439,1.099989,1.374948439,1.425110446 spval,9,,0.224,0.535,0.535,0.498,0.25,0.195,0.125


2747


spfrq,9,1.619957881,2.66028199,3.599712023,5.399568035,6.600660066,8.802816901,14.02524544 spval,9,,0.17,0.214,0.33,0.55,0.55,0.346,0.18 spfrq,9,17.00680272,28.65329513,31.94888179,39.0625 spval,9,,0.135,0.125,0.112,0.112 /com, /com, spectrum 10 (group 4 - X) /com,*************************** spunit,10,accg, gval spfrq,10,0.4,0.630119723,0.765110941,0.934579439,1.319957761,2.035002035,2.699784017 spval,10,, 0.27,0.814,0.85,0.85,0.536,0.335,0.265 spfrq,10,5.399568035,6.600660066,8.802816901,14.85884101,18.01801802,39.0625 spval,10,, 0.31,0.31,0.215,0.14,0.126,0.126 /com, /com, spectrum 11 (group 4 - Y) /com,*************************** spunit,11,accg, gval spfrq,11,0.4,0.765110941,0.934579439,1.374948439,1.665001665,2.035002035,4.319654428 spval,11,,0.34,1.2,1.2,0.85,0.68,0.68,0.85 spfrq,11,5.399568035,6.600660066,8.250825083,9.68054211,14.85884101,18.48428835,28.01120448 spval,11,,1.02,1.02,0.73,0.42,0.36,0.26,0.21 spfrq,11,39.0625 spval,11,,0.21 /com, /com, spectrum 12 (group 4 - Z) /com,*************************** spunit,12,accg, gval spfrq,12,0.4,0.765110941,0.934579439,1.374948439,1.665001665,2.035002035,4.319654428 spval,12,,0.34,1.2,1.2,0.85,0.68,0.68,0.85 spfrq,12,5.399568035,6.600660066,8.250825083,9.68054211,14.85884101,18.48428835,28.01120448 spval,12,,1.02,1.02,0.73,0.42,0.36,0.26,0.21 spfrq,12,39.0625 spval,12,,0.21

/com, /com, node components for excitation points /com,*************************************** nsel,s,node,,108 nsel,a,node,,113 nsel,a,node,,117 cm,gp1,node allsel,all,all nsel,s,node,,116 nsel,a,node,,106,107 nsel,a,node,,111,112 cm,gp2,node allsel,all,all nsel,s,node,,109 nsel,a,node,,114 nsel,a,node,,118 cm,gp3,node allsel,all,all

2748



nsel,s,node,,110 nsel,a,node,,115 nsel,a,node,,119 cm,gp4,node allsel,all,all /com,-----------------------------------------------------------------------------------/com, -- level #1 - spectrum 1 d,gp1,ux,1 pfact,1 d,gp1,all,0 /com, -- level #1 - spectrum 2 d,gp1,uy,1 pfact,2 d,gp1,all,0 /com, -- level #1 - spectrum 3 d,gp1,uz,1 pfact,3 d,gp1,all,0 /com, -- level #2 - spectrum 4 d,106,ux,-1 d,107,ux,0.5025 pfact,4 d,106,all,0 d,107,all,0 /com, -- level #2 - spectrum 5 d,111,uy,-1 d,112,uy,-1 d,107,ux,-0.5025 pfact,5 d,111,all,0 d,112,all,0 d,107,all,0 /com, -- level #2 - spectrum 6 d,116,uz,1 d,107,ux,0.7035 pfact,6 d,116,all,0 d,107,all,0 /com, -- level #3 - spectrum 7 d,gp3,ux,1 pfact,7 d,gp3,all,0 /com, -- level #3 - spectrum 8 d,gp3,uy,1 pfact,8 d,gp3,all,0 /com, -- level #3 - spectrum 9 d,gp3,uz,1 pfact,9 d,gp3,all,0

/com, -- level #4 - spectrum 10 d,gp4,ux,1 pfact,10 d,gp4,all,0 /com, -- level #4 - spectrum 11 d,gp4,uy,1 pfact,11 d,gp4,all,0


2749


/com, -- level #4 - spectrum 12 d,gp4,uz,1 pfact,12 d,gp4,all,0 srss,0.0 solve

! Combine modes using SRSS combination

/com,-----------------------------------------------------------------------------------/post1 /input,,mcom


esel,s,elem,,1 etable,pxi_1,smisc,1 etable,vyi_1,smisc,6 etable,vzi_1,smisc,5 etable,txi_1,smisc,4 etable,myi_1,smisc,2 etable,mzi_1,smisc,3 esel,all /out, /com, ************************************************ /com, Element forces and moments at element1, node i /com, ************************************************ pretab,pxi_1,vyi_1,vzi_1,txi_1,myi_1,mzi_1

/out,scratch

2750


vm-nr1677-02-2b Input Listing /com,========== /com, Node J /com,========== /com, Element #1 (Pipe289 element) /com,************************ esel,s,elem,,1 etable,pxj_1,smisc,14 etable,vyj_1,smisc,19 etable,vzj_1,smisc,18 etable,txj_1,smisc,17 etable,myj_1,smisc,15 etable,mzj_1,smisc,16 esel,all /out, /com, ********************************************** /com, Element forces and moments at element1, node j /com, ************************************************ pretab,pxj_1,vyj_1,vzj_1,txj_1,myj_1,mzj_1

/out,scratch



/com, Element #41 (Elbow290 element) /com,******************************** esel,s,elem,,41 etable,pxj_41,smisc,36 etable,vyj_41,smisc,41 etable,vzj_41,smisc,40 etable,txj_41,smisc,39 etable,myj_41,smisc,37 etable,mzj_41,smisc,38 esel,all allsel,all


2751


/out, /com, ********************************************** /com, Element forces and moments at element 41, node j /com, ************************************************ pretab,pxj_41,vyj_41,vzj_41,txj_41,myj_41,mzj_41


vm-nr1677-02-2c Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-02-2c /title,vm-nr1677-02-2c,NRC piping benchmarks problems,Volume II,Problem 2c /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com,

******************************************************************************* Reference: Piping benchmark problems,Dynamic analysis independant support motion response spectrum method, P. Bezler, M. Subudhi and M.Hartzman, NUREG/CR--1677-Vol.2, August 1985. Elements used: PIPE289, ELBOW290, COMBIN14 and MASS21 Results : The following results are outputted 1. Frequencies obtained from modal solution. 2. Maximum nodal displacements and rotations obtained from spectrum solution. 3. Element forces/moments obtained from spectrum solution. 4. Reaction forces obtained from spectrum solution. *******************************************************************************

/out,scratch /prep7 YoungModulus1 = .240e+8 ! Young's Modulus Nu = 0.3 ! Minor Poisson's Ratio ShearModulus1 = YoungModulus1/(2*(1+Nu)) ! Shear Modulus WMass = 0.001056893 ! Density WTick = 0.241 ! Wall Thickness K = 0.71e-5 OD = 7.288 RADCUR = 36.30 temp = 80 maxm = 25

! Outer Diameter ! Radius of Curvature ! Temperature ! No. of Modes to Extract

et,1,pipe289,,, et,2,elbow290,,6 et,3,combin14 keyopt,3,2,1 et,4,combin14 keyopt,4,2,2 et,5,combin14 keyopt,5,2,3

2752

! Element 1 - PIPE289 ! Element 2 - ELBOW290 ! Element ! X Degree ! Element ! Y Degree ! Element ! Z Degree

3 - COMBIN14 of Freedom 4 - COMBIN14 of Freedom 5 - COMBIN14 of Freedom


vm-nr1677-02-2c Input Listing et,6,mass21 keyopt,6,3,2

! Element 6 - MASS21 ! 3D mass without inertia

/com,-----------------------------------------------------------------------------------/com, Real Constants /com,**************** sectype,1,PIPE,ctube secdata,OD,WTick,24 r,3,0.1e+5 r,4,0.1e+9 r,5,0.1e+11 r,6,1.518 /com,-----------------------------------------------------------------------------------/com, Material Properties /com,********************* mp,ex, 1, YoungModulus1 mp,nuxy,1, Nu mp,gxy ,1, ShearModulus1 mp,dens,1, WMass mp,kxx,1, K mp,ex, 2, YoungModulus1 mp,nuxy,2, Nu mp,gxy ,2, ShearModulus1 mp,dens,2, WMass mp,kxx,2, K /com,-----------------------------------------------------------------------------------/com, Keypoints /com,********** k,1,0,0,0 k,2,0,54.45,0 k,3,0,108.9,0 k,4,10.632,134.568,0 k,5,36.3,145.2,0 k,6,54.15,145.2,0 k,7,72.0,145.2,0 k,8,97.668,145.2,10.632 k,9,108.3,145.2,36.3 k,10,108.3,145.2,56.8 k,11,108.3,145.2,77.3 k,12,108.3,145.2,97.8 k,13,108.3,145.2,118.3 k,14,108.3,145.2,188.8 k,15,108.3,181.5,225.1 k,16,108.3,236,225.1 k,17,108.3,290,225.1 k,18,148.3,145.2,97.8 k,19,188.3,145.2,97.8 k,20,224.6,145.2,61.5 k,21,224.6,145.2,20 /com, /com, Elastic Support Keypoints /com,************************** k,22,1,0,0 k,23,0,1,0 k,24,0,0,1 k,25,72,145.2,-1 k,26,109.3,145.2,36.3 k,27,108.3,146.2,77.3 k,28,108.3,146.2,118.3 k,29,107.3,182.5,226.5


2753

NRC Piping Benchmarks Input Listings k,30,109.3,290,225.1 k,31,108.3,291,225.1 k,32,108.3,290,226.1 k,33,225.6,145.2,20 k,34,224.6,146.2,20 k,35,224.6,145.2,21 /com,-----------------------------------------------------------------------------------/com, /com, Modeling for Straight Pipe /com,********************************** l, 1, 2 l, 2, 3 l, 5, 6 l, 6, 7 l, 9,10 l,10,11 l,11,12 l,12,13 l,13,14 l,15,16 l,16,17 l,12,18 l,18,19 l,20,21 /com, /com, Modeling for Pipe Bend /com,************************ larc, 3, 4, 2, larc, 4, 5, 6, larc, 7, 8, 6, larc, 8, 9,10, larc,14,15,16, larc,19,20,18,

RADCUR RADCUR RADCUR RADCUR RADCUR RADCUR

/com, /com, Modeling for Elastic Supports and Anchors /com,******************************************* l,11,27 l,13,28 l,9,26 l,15,29 l,7,25 l,1,22 l,17,30 l,21,33 l,1,23 l,17,31 l,21,34 l,1,24 l,17,32 l,21,35 /com, ********************************** /com, Meshing for Straight pipe /com, ********************************** type,1 secnum,1 mat,1 lsel,r,,,1,14

2754


vm-nr1677-02-2c Input Listing allsel,below,line lesize,all,,,2 lmesh,all allsel,all,all type,2 secnum,1 mat,2 lsel,r,,,15,20 allsel,below,line lesize,all,,,4 lmesh,all allsel,all,all /com, ***************************************************************** /com, Converting some PIPE289 into ELBOW290 using ELBOW command /com, ***************************************************************** elbow,on,,,sect allsel,all /com, **************************** /com, Elastic supports and anchors /com, **************************** type,3 real,4

!local x ! 0.1e+9


! 0.1e+11


! local y ! 0.1e+5

lsel,r,,,21,22 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all real,5 lsel,r,,,29,31 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all type,5 real,4

!local z ! 0.1e+9

lsel,r,,,25 allsel,below,line lesize,all,,,1


2755

NRC Piping Benchmarks Input Listings lmesh,all allsel,all,all real,5 lsel,r,,,32,34 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all

n1 = 40 n2 = 107 n3 = 41 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,11,0 nrotat,n1 nrotat,n2 csys,0 /com /com, Mass Elements /com,*************** type,6 real,6 e,49 /com,-----------------------------------------------------------------------------------/com, /com, Constraints /com,************* nsel,,node,,106,119 d,all,all allsel d,1,rotx,,,,,roty,rotz d,58,rotx,,,,,roty,rotz allsel,all finish /com,-----------------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal ! Perform Modal Analysis modopt,lanb,maxm lumpm,on ! Use Lumped Mass Matrix Approximation mxpand,maxm,,,yes ! Expand Solutions with Element Calculations ON solve finish /post1 /out, /com, ******************************************* /com, Frequencies obtained from modal solution /com, ******************************************** set,list finish

2756


vm-nr1677-02-2c Input Listing /com,-----------------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /out,scratch /solution antype,spectr spopt,mprs,maxm


gval = 386.4 /com,-----------------------------------------------------------------------------------/com, /com, spectrum 1 (group 1 - X) /com,************************** spunit,1,accg, gval spfrq,1,0.4,0.719942405,0.900090009,1.099989,1.350074254,1.800180018,2.200220022 spval,1,, 0.13,0.22,0.57,0.57,0.38,0.63,0.63 spfrq,1,2.699784017,3.51000351,4.679457183,5.720823799,6.600660066,8.576329331,11.00110011 spval,1,, 0.75,1.15,1.42,1.42,1.29,0.85,0.42 spfrq,1,33.00330033,34.96503497,39.0625 spval,1,,0.25,0.22,0.22 /com, /com, spectrum 2 (group 1 - Y) /com,************************** spunit,2,accg, gval spfrq,2,0.4,0.639795266,0.900090009,1.099989,1.43000143,1.649892757,1.800180018 spval,2,,0.18,0.18,0.995,0.995,0.715,0.35,0.42, spfrq,2, 3.500175009,4.500450045,5.500550055,6.600660066,8.703220191,9.35453695,15.40832049 spval,2,,0.77,0.998,0.998,0.9,0.68,0.42,0.22 spfrq,2,16,28.49002849,31.94888179,39.0625 spval,2,,0.205,0.205,0.19,0.19 /com, /com, spectrum 3 (group 1 - Z) /com,************************** spunit,3,accg, gval spfrq,3,0.4,0.599880024,1.124985938,1.374948439,1.539882969,2.200220022,2.5 spval,3,, 0.17,0.17,1.6,1.6,0.78,0.3,0.3 spfrq,3,3.599712023,4.500450045,5.500550055,8.051529791,14.30615165,21.97802198,25.97402597 spval,3,,0.51,0.63,0.63,0.47,0.24,0.2,0.17 spfrq,3,39.0625 spval,3,,0.17 /com, /com, spectrum 4 (group 2 - X) /com,************************** spunit,4,accg, gval spfrq,4,0.4,0.480076812,0.539956803,1.17000117,1.43000143,1.649892757,2 spval,4,,0.17,0.17,0.23,2.25,2.25,1.07,0.75 spfrq,4,3.300330033,17.6056338,21.97802198,39.0625 spval,4,,0.38,0.03,0.23,0.23


2757


/com, /com, spectrum 5 (group 2 - Y) /com,************************** spunit,5,accg, gval spfrq,5,0.4,0.610128127,1.124985938,1.374948439,1.759943682,2.474634991,4.500450045 spval,5,,0.17,0.3,2.87,2.87,1.5,0.9,0.85 spfrq,5,5.500550055,8,15.50387597,39.0625 spval,5,,0.85,0.65,0.37,0.37 /com, /com, spectrum 6 (group 2 - Z) /com,************************** spunit,6,accg, gval spfrq,6,0.4,0.5,0.599880024,1.124985938,1.374948439,1.700102006,2.699784017 spval,6,,0.2,0.2,0.362,3.55,3.55,1.95,1.08 spfrq,6,4.500450045,5.500550055,6.501950585,7.974481659,13.00390117,17.51313485,39.0625 spval,6,,1.38,1.38,1.3,1,0.65,0.55,0.55 /com, /com, spectrum 7 (group 3 - X) /com,************************** spunit,7,accg, gval spfrq,7,0.4,0.60204696,1.124985938,1.374948439,1.705029838,2.420135528,2.750275028 spval,7,,0.18,0.42,4.15,4.15,2.4,1.7,1.46 spfrq,7,3.41997264,4.679457183,5.720823799,6.600660066,9.900990099,15.12859304,16.50165017 spval,7,,1.6,2.05,2.05,1.75,0.9,0.77,0.65 spfrq,7,39.0625 spval,7,,0.65 /com, /com, spectrum 8 (group 3 - Y) /com,************************** spunit,8,accg, gval spfrq,8,0.4,0.576036866,0.704225352,0.900090009,1.080030241,1.800180018,2.610284521 spval,8,,0.14,0.28,0.28,0.17,0.28,0.53,0.56 spfrq,8,5.399568035,6.600660066,8.802816901,11.00110011,24.75247525,27.47252747,40 spval,8,,1.32,1.32,0.73,0.42,0.25,0.23,0.23 /com, /com, spectrum 9 (group 3 - Z) /com,************************** spunit,9,accg, gval spfrq,9,0.4,0.603136309,0.736919676,0.934579439,1.099989,1.374948439,1.425110446 spval,9,,0.224,0.535,0.535,0.498,0.25,0.195,0.125 spfrq,9,1.619957881,2.66028199,3.599712023,5.399568035,6.600660066,8.802816901,14.02524544 spval,9,,0.17,0.214,0.33,0.55,0.55,0.346,0.18 spfrq,9,17.00680272,28.65329513,31.94888179,39.0625 spval,9,,0.135,0.125,0.112,0.112 /com, /com, spectrum 10 (group 4 - X) /com,*************************** spunit,10,accg, gval

2758


vm-nr1677-02-2c Input Listing

spfrq,10,0.4,0.630119723,0.765110941,0.934579439,1.319957761,2.035002035,2.699784017 spval,10,, 0.27,0.814,0.85,0.85,0.536,0.335,0.265 spfrq,10,5.399568035,6.600660066,8.802816901,14.85884101,18.01801802,39.0625 spval,10,, 0.31,0.31,0.215,0.14,0.126,0.126 /com, /com, spectrum 11 (group 4 - Y) /com,*************************** spunit,11,accg, gval spfrq,11,0.4,0.765110941,0.934579439,1.374948439,1.665001665,2.035002035,4.319654428 spval,11,,0.34,1.2,1.2,0.85,0.68,0.68,0.85 spfrq,11,5.399568035,6.600660066,8.250825083,9.68054211,14.85884101,18.48428835,28.01120448 spval,11,,1.02,1.02,0.73,0.42,0.36,0.26,0.21 spfrq,11,39.0625 spval,11,,0.21 /com, /com, spectrum 12 (group 4 - Z) /com,*************************** spunit,12,accg, gval spfrq,12,0.4,0.765110941,0.934579439,1.374948439,1.665001665,2.035002035,4.319654428 spval,12,,0.34,1.2,1.2,0.85,0.68,0.68,0.85 spfrq,12,5.399568035,6.600660066,8.250825083,9.68054211,14.85884101,18.48428835,28.01120448 spval,12,,1.02,1.02,0.73,0.42,0.36,0.26,0.21 spfrq,12,39.0625 spval,12,,0.21 /com, /com, node components for excitation points /com,*************************************** nsel,s,node,,108 nsel,a,node,,113 nsel,a,node,,117 cm,gp1,node allsel,all,all nsel,s,node,,116 nsel,a,node,,106,107 nsel,a,node,,111,112 cm,gp2,node allsel,all,all nsel,s,node,,109 nsel,a,node,,114 nsel,a,node,,118 cm,gp3,node allsel,all,all nsel,s,node,,110 nsel,a,node,,115 nsel,a,node,,119 cm,gp4,node allsel,all,all /com,-----------------------------------------------------------------------------------! -- level #1 - spectrum 1 (Along X - Direction) sed,1,,,gp1 pfact,1 sed,0,,,gp1


2759


! -- level #1 - spectrum 2 (Along Y - Direction) sed,,1,,gp1 pfact,2 sed,,0,,gp1 ! -- level #1 - spectrum 3 (Along Z - Direction) sed,,,1,gp1 pfact,3 sed,,,0,gp1 ! -- level #2 - spectrum 4 (Along X - Direction) sed,1,,,gp2 pfact,4 sed,0,,,gp2 ! -- level #2 - spectrum 5 (Along Y - Direction) sed,,1,,gp2 pfact,5 sed,,0,,gp2 ! -- level #2 - spectrum 6 (Along Z - Direction) sed,,,1,gp2 pfact,6 sed,,,0,gp2 ! -- level #3 - spectrum 7 (Along X - Direction) sed,1,,,gp3 pfact,7 sed,0,,,gp3 ! -- level #3 - spectrum 8 (Along Y - Direction) sed,,1,,gp3 pfact,8 sed,,0,,gp3 ! -- level #3 - spectrum 9 (Along Z - Direction) sed,,,1,gp3 pfact,9 sed,,,0,gp3 ! -- level #4 - spectrum 10 (Along X - Direction) sed,1,,,gp4 pfact,10 sed,0,,,gp4 ! -- level #4 - spectrum 11 (Along Y - Direction) sed,,1,,gp4 pfact,11 sed,,0,,gp4 ! -- level #4 - spectrum 12 (Along Z - Direction) sed,,,1,gp4 pfact,12 sed,,,0,gp4 srss,0.0,,YES ! activate Absolute Sum for MPRS solve finish

2760



/com,-----------------------------------------------------------------------------------/post1 /input,,mcom



/out,scratch /com,========== /com, Node J /com,========== /com, Element #1 (Pipe289 element) /com,************************ esel,s,elem,,1 etable,pxj_1,smisc,14


2761

NRC Piping Benchmarks Input Listings etable,vyj_1,smisc,19 etable,vzj_1,smisc,18 etable,txj_1,smisc,17 etable,myj_1,smisc,15 etable,mzj_1,smisc,16 esel,all /out, /com, ********************************************** /com, Element forces and moments at element1, node j /com, ************************************************ pretab,pxj_1,vyj_1,vzj_1,txj_1,myj_1,mzj_1

/out,scratch



/com, Element #41 (Elbow290 element) /com,******************************** esel,s,elem,,41 etable,pxj_41,smisc,36 etable,vyj_41,smisc,41 etable,vzj_41,smisc,40 etable,txj_41,smisc,39 etable,myj_41,smisc,37 etable,mzj_41,smisc,38 esel,all allsel,all /out, /com, ********************************************** /com, Element forces and moments at element 41, node j /com, ************************************************ pretab,pxj_41,vyj_41,vzj_41,txj_41,myj_41,mzj_41

2762




vm-nr1677-02-3a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-02-3a /title,vm-nr1677-02-3a,NRC piping benchmarks problems,Volume II,Problem 3a /com, *************************************************************************** /com, Reference: Piping benchmark problems,Dynamic analysis independant support /com, motion response spectrum method, P. Bezler, M. Subudhi and /com, M.Hartzman, NUREG/CR--1677-Vol.2, August 1985. /com, /com, /com, Elements used: PIPE289, ELBOW290, COMBIN14 /com, /com, Results: /com, The following results are outputted /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum nodal displacements and rotations obtained from spectrum solution. /com, 3. Element forces/moments obtained from spectrum solution. /com, 4. Reaction forces obtained from spectrum solution. /com, /com, ******************************************************************************* /out,scratch /prep7 YoungModulus1 = 0.277e+08 ! Young's Modulus Nu = 0.3 ! Minor Poisson's Ratio ShearModulus1 = YoungModulus1/(2*(1+Nu)) ! Shear Modulus WMass = 1.546e-03 ! Density WTick=0.3750 ! Wall Thickness OD=12.750 ! Outer Diameter Temperature = 400 Pressue = 615 maxm=15 ! No. of Modes to Extract radcur1 = -60 radcur2 = -18

! radius of curvature for bend pipes ! radius of curvature for bend pipes

/com,-----------------------------------------------------------------------------------et, 1,pipe289,,, et, 2,elbow290,,6 et, 3,elbow290,,6 et, 4,combin14 keyopt,4,2,2 et, 5,combin14 keyopt,5,2,1 et, 6,combin14 keyopt,6,2,2 et, 7,combin14 keyopt,7,2,3 et, 8,combin14 keyopt,8,2,4

! Element 1 - PIPE289 ! Element 2 - ELBOW290 ! Element 3 - ELBOW290 ! Element 4 - COMBIN14 ! Y Degree of Freedom ! Element 5 - COMBIN14 ! X Degree of Freedom ! Element 6 - COMBIN14 ! Y Degree of Freedom ! Element 7 - COMBIN14 ! Z Degree of Freedom ! Element 8 - COMBIN14 ! ROT-X Degree of Freedom


2763

NRC Piping Benchmarks Input Listings et, 9,combin14 keyopt,9,2,5 et,10,combin14 keyopt,10,2,6

! Element 9 - COMBIN14 ! ROT-Y Degree of Freedom ! Element 10 - COMBIN14 ! ROT-Z Degree of Freedom

/com,-----------------------------------------------------------------------------------/com, Real Constants /com,**************** sectype,1,pipe secdata,OD,WTick,24 r, 4, r, 5, r, 6, r, 7, r, 8, r, 9, r,10,

0.1e+2 0.1e+13 0.1e+13 0.1e+13 0.1e+13 0.1e+13 0.1e+13



/com,-----------------------------------------------------------------------------------/com, key points /com,******* k,1,0,1226.875,0 k,2,30.021,1226.875,30.550 k,3,60.042,1226.875,61.100 k,4,90.064,1226.875,91.651 k,5,105.154,1226.875,102.817 k,6,139.302,1226.875,120.593 k,7,181.878,1226.875,142.757 k,8,224.435,1226.875,164.922 k,9,243.383,1226.875,174.774 k,10,262.311,1226.875,184.628 k,11,292.798,1226.875,191.342 k,12,334.171,1226.875,189.421 !k,120,334.171,1226.875,189.421 k,13,375.543,1226.875,187.500 k,14,405.511,1226.875,186.110 k,140,431.483,1226.875,184.904 k,15,501.172,1226.875,181.669 k,16,570.860,1226.875,178.433 k,17,579.777,1226.875,178.683 k,18,615.118,1226.875,182.316 k,20,633.028,1226.875,184.156 k,21,678.227,1226.875,188.802 k,22,723.426,1226.875,193.448 k,23,768.625,1226.875,198.095 k,24,809.602,1226.875,187.256 k,25,814.057,1226.875,184.079 k,26,852.626,1226.875,156.568 k,27,891.195,1226.875,129.058 k,28,929.764,1226.875,101.547

2764



k,29,968.332,1226.875,74.036 k,290,978.101,1226.875,67.067 k,31,1012.600,1226.875,42.430 !k,310,1012.600,1226.875,42.430 k,32,1047.098,1226.875,17.793 k,34,1061.752,1244.875,7.340 k,35,1061.752,1272.375,7.340 k,36,1072.214,1290.375,-7.307 k,37,1081.623,1290.375,-20.48 k,38,1108.85,1290.375,-58.399 k,39,1136.077,1290.375,-96.317 k,40,1163.304,1290.375,-134.236 k,41,1190.531,1290.375,-172.154 /com, /com, Elastic Support /com,*********************** k,410,1190.531,1290.375,-172.154 k,43,1197.006,1290.375,-182.019 k,44,1207.729,1290.375,-209.536 k,45,1211.63,1290.375,-241.111 k,46,1215.531,1290.375,-272.687 k,47,1219.432,1290.375,-304.262 k,48,1223.333,1290.375,-335.873 k,49,1227.234,1290.375,-367.413 k,51,1232.114,1290.375,-407.115 k,52,1233.704,1295.647,-419.787 k,53,1234.945,1305.772,-429.836 k,55,1254.329,1318.500,-439.952 k,56,1279.579,1318.500,-436.387 k,57,1304.829,1318.500,-432.823 k,58,1330.078,1318.500,-429.258 k,59,1355.328,1318.500,-425.693 !k,61,431.943,1226.875,194.899 !k,62,616.14,1226.875,172.368 !k,63,974.139,1226.875,82.176 k,65,1227.234,1300.375,-367.413 !k,66,1255.726,1318.500,-449.852 !k,67,1182.401,1290.375,-177.966 k,68,105.154,1236.875,102.817 k,69,224.435,1236.875,164.922 k,70,405.511,1236.875,186.110 k,71,633.028,1236.875,184.156 k,72,814.057,1236.875,184.079 k,73,978.101,1236.875,67.067 k,74,1081.623,1300.375,-20.48 k,75,1190.531,1300.375,-172.154 !k,101,10,1226.875,0 !k,102,0,1236.875,0 !k,103,0,1226.875,10 !k,591,1345.328,1318.5,-425.693 !k,592,1355.328,1328.5,-425.693 !k,593,1355.328,1318.5,-415.693 k,601,93.495,1226.9,94.879 k,701,90.618,1226.9,92.207 k,702,91.180,1226.9,92.757 k,703,91.748,1226.9,93.298 k,704,92.324,1226.9,93.833 k,705,92.906,1226.9,94.360


2765


k,711,94.091,1226.9,95.390 k,712,94.694,1226.9,95.894 k,713,95.304,1226.9,96.390 k,714,95.919,1226.9,96.877 k,715,96.542,1226.9,97.357 k,602,97.170,1226.9,97.828 k,721,97.804,1226.9,98.291 k,722,98.443,1226.9,98.746 k,723,99.089,1226.9,99.192 k,724,99.740,1226.9,99.630 k,725,100.40,1226.9,100.06 k,731,101.73,1226.9,100.89 k,732,102.40,1226.9,101.29 k,733,103.08,1226.9,101.69 k,734,103.77,1226.9,102.07 k,735,104.46,1226.9,102.45 k,603,101.06,1226.9,100.48 k,741,267.08,1226.9,186.85 k,742,272.03,1226.9,188.65 k,743,277.11,1226.9,190.00 k,744,282.29,1226.9,190.91 k,745,287.54,1226.9,191.36 k,751,572.35,1226.9,178.38 k,752,573.84,1226.9,178.37 k,753,575.32,1226.9,178.39 k,754,576.81,1226.9,178.45 k,755,578.29,1226.9,178.55 k,761,775.83,1226.9,198.40 k,762,783.03,1226.9,197.84 k,763,790.10,1226.9,196.41 k,764,796.95,1226.9,194.15 k,765,803.49,1226.9,191.09 k,771,1199.7,1290.4,-186.18 k,772,1202.1,1290.4,-190.55 k,773,1204.1,1290.4,-195.11 k,774,1205.7,1290.4,-199.81 k,775,1206.9,1290.4,-204.63 k,781,1050.9,1227.5,15.088 k,782,1054.4,1229.3,12.567 k,783,1057.5,1232.1,10.402 k,784,1059.8,1235.9,8.7405 k,785,1061.3,1240.2,7.6962 k,791,1062.1,1277.0,6.8409 k,792,1063.2,1281.4,5.3777 k,793,1064.8,1285.1,3.0499 k,794,1067.0,1288.0,0.16395E-01 k,795,1069.5,1289.8,-3.5163 k,801,1232.4,1290.5,-409.45 k,802,1232.7,1291.0,-411.75 k,803,1233.0,1291.7,-413.97 k,804,1233.2,1292.8,-416.08 k,805,1233.5,1294.1,-418.02 k,811,1236.0,1309.0,-432.99 k,812,1238.2,1312.1,-435.76 k,813,1241.3,1314.7,-437.97 k,814,1245.3,1316.7,-439.46 k,815,1249.7,1318.0,-440.13 /com,------------------------------------------------------------------------------------

2766



/com, /com, Straight Pipe (Tangent) Elements /com,********************************** mat,1 type,1 secnum,1

! Material ID 1 ! Element Type 1 ! Section 1

l,1,2 l,2,3 l,3,4

! line number 1

l,5,6 l,6,7 l,7,8 l,8,9 l,9,10 l,11,12 l,12,13 l,13,14 l,14,140 l,140,15 l,15,16 l,17,18 l,18,20 l,20,21 l,21,22 l,22,23 l,24,25 l,25,26 l,26,27 l,27,28 l,28,29 l,29,290 l,290,31 l,31,32 l,34,35 l,36,37 l,37,38 l,38,39 l,39,40 l,40,41 l,41,43 l,44,45 l,45,46 l,46,47 l,47,48 l,48,49 l,49,51 l,52,53 l,55,56 l,56,57 l,57,58 l,58,59

! line number 45

lesize,all,,,1 lmesh,all allsel,all /com, /com, Pipe Bend Elements


2767

NRC Piping Benchmarks Input Listings /com,******************** type,2 secnum,1 mat,1 larc,4,702,701, radcur1 larc,702,704,703, radcur1 larc,704,601,705, radcur1 larc,601,712,711, radcur1 larc,712,714,713, radcur1 larc,714,602,715, radcur1 larc,602,722,721, radcur1 larc,722,724,723, radcur1 larc,724,603,725, radcur1 larc,603,732,731, radcur1 larc,732,734,733, radcur1 larc,734,5,735, radcur1 larc,10,742,741, radcur1 larc,742,744,743, radcur1 larc,744,11,745, radcur1 larc,16,752,751, radcur1 larc,752,754,753, radcur1 larc,754,17,755, radcur1 larc,23,762,761, radcur1 larc,762,764,763, radcur1 larc,764,24,765, radcur1 larc,43,772,771, radcur1 larc,772,774,773, radcur1 larc,774,44,775, radcur1

! line number 46

! line number 69

lsel,s,line,,46,69,1 lesize,all,,,1 lmesh,all allsel,all

type,3 secnum,1 mat,1 larc,32,782,781, radcur2 larc,782,784,783, radcur2 larc,784,34,785, radcur2 larc,35,792,791, radcur2 larc,792,794,793, radcur2 larc,794,36,795, radcur2 larc,51,802,801, radcur2 larc,802,804,803, radcur2 larc,804,52,805, radcur2 larc,53,812,811, radcur2 larc,812,814,813, radcur2 larc,814,55,815, radcur2

! line number 70

! line number 81

lsel,s,line,,70,81,1 lesize,all,,,1 lmesh,all allsel,all /com, /com, Spring Elements /com,***************** type,4 real,4 l,49,65

! line number 82

lesize,82,,,1 lmesh,all allsel,all

2768


vm-nr1677-02-3a Input Listing type,6 real,6 l,5,68 l,8,69 l,14,70 l,20,71 l,25,72 l,290,73 l,37,74 l,410,75

! line number 83

! line number 90


n1 = node(1254.329,1318.500,-439.952) n,66000,1255.726,1318.500,-449.852 n3 = node(1279.579,1318.500,-436.387) n4 = node(1190.531,1290.375,-172.154) n, 67000,1182.401,1290.375,-177.966 n6 = node(1163.304,1290.375,-134.236) n7 = node(375.543,1226.875,187.500) n, 120000,334.171,1226.875,189.421 n9 = node(1355.328,1318.500,-425.693) n10 = node(431.483,1226.875,184.904) n,61000,431.943,1226.875,194.899 n12 = node(501.172,1226.875,181.669) n13 = node(615.118,1226.875,182.316) n,62000,616.14,1226.875,172.368 n15 = node(579.777,1226.875,178.683) n16 = node(968.332,1226.875,74.036) n,63000,974.139,1226.875,82.176 n18 = node(929.764,1226.875,101.547) n19 = node(1047.098,1226.875,17.793) n,310000,1012.600,1226.875,42.430 n21 = node(1061.752,1244.875,7.340) n22 = node(1190.531,1290.375,-172.154) !n,410000,1190.531,1290.375,-172.154 n,61000,431.943,1226.875,194.899 n,62000,616.14,1226.875,172.368 n,63000,974.139,1226.875,82.176 n27 = node(1227.234,1300.375,-367.413) n,66000,1255.726,1318.500,-449.852 n,67000,1182.401,1290.375,-177.966

n30 = node(105.154,1236.875,102.817) n31 = node(224.435,1236.875,164.922) n32 = node(405.511,1236.875,186.110)


2769

NRC Piping Benchmarks Input Listings n33 n34 n35 n36 n37

= = = = =

node(633.028,1236.875,184.156) node(814.057,1236.875,184.079) node(978.101,1236.875,67.067) node(1081.623,1300.375,-20.48) node(1190.531,1300.375,-172.154)

n,101000,10,1226.875,0 n,102000,0,1236.875,0 n,103000,0,1226.875,10 n,120000,334.171,1226.875,189.421 n,310000,1012.600,1226.875,42.430 n,591000,1345.328,1318.5,-425.693 n,592000,1355.328,1328.5,-425.693 n,593000,1355.328,1318.5,-415.693 n46 = node(0,1226.875,0)

type,5 real,5 n1 = 92 n2 = 66000 n3 = 93 ics = 11 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 72 n2 = 67000 n3 = 70 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 /com, /com, Snubber Elements /com,****************** n1 = 22 n2 = 120000 n3 = 99 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 26 n2 = 61000 n3 = 28 ics = ics + 1

2770


vm-nr1677-02-3a Input Listing wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 33 n2 = 62000 n3 = 32 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 52 n2 = 63000 n3 = 50 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 58 n2 = 310000 n3 = 60 !n3 = 59 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 /com, /com, 3D Support at both ends /com,************************* type,5 real,5 e,1,101000 e,99,591000 type,6 real,6 e,1,102000 e,99,592000 type,7 real,7 e,1,103000 e,99,593000 type,8 real,8 e,1,101000 e,99,591000 type,9 real,9 e,1,102000 e,99,592000


2771


type,10 real,10 e,1,103000 e,99,593000 /com,-----------------------------------------------------------------------------------/com, /com, Model Rigid Region /com,******************** cerig,72,172,uy /com,-----------------------------------------------------------------------------------/com, /com, Convert some PIPE289 into ELBOW290 using ELBOW command /com, elbow,on,,,sect allsel,all

/com, /com, Constraints /com,************* nsel,s,node,,61000,63000 nsel,a,node,,164 nsel,a,node,,66000,67000,1 nsel,a,node,,165,173,1 nsel,a,node,,101000,103000 nsel,a,node,,120000 nsel,a,node,,310000 nsel,a,node,,591000,593000 d,all,all,0 nsel,all /com,-----------------------------------------------------------------------------------/com, /com, Loads /com,******* /com, Temperature Input /com,******************* bf,all,temp,Temperature esel,r,type,,1 esel,a,type,,2 esel,a,type,,3 /com, Pressure Input /com,**************** sfe,all,1,pres,,Pressue,,, allsel,all,all finish /com,-----------------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution

2772


vm-nr1677-02-3a Input Listing antype,modal ! Perform modal solve modopt,lanb,maxm lump,on ! Lumped mass formulation mxpand,maxm,,,yes ! Expand the modes with stress calculation solve save, finish

/post1 /out, /com, ******************************************** /com, Frequencies obtained from modal solution /com, ********************************************* set,list finish

/com, /com,================ /com, Spectrum Solve /com,================ /com, /out,scratch /solution gvalue = 386.4 sfedele,all,1,pres,,, bfdele,all,temp,,, antype,spectrum spopt,sprs,maxm srss,,,

! Perform Spectrum Analysis ! Single Point Excitation Response System

! SRSS mode combination method

/com, /com, Excitation in X - Direction /com,******************************* svtyp,2,gvalue

! Acceleration Response Spectrum

freq,1.000,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937,1.3423,1.3889 sv,,1.1620,1.2820,1.3990,1.5490,1.6060,1.6760,1.7040,1.7740,1.8390 freq,1.4104,1.4347,1.5552,1.6949,1.7825,1.9305,2.0747,2.2779,2.4752 sv,,1.8690,1.9040,2.0840,2.2460,2.3040,2.3830,2.4790,2.5920,2.6440 freq,2.6042,2.6596,2.9499,3.2362,3.3898,3.4965,3.5714,3.6101,3.6630 sv,,2.6400,2.6390,2.7820,2.9510,3.0660,3.2150,3.3840,3.5320,3.7660 freq,3.7313,3.8168,3.8911,3.9216,4.2918,4.6948,4.7847,5.0505,5.0761 sv,,4.1890,4.7930,5.1890,5.2240,5.2320,5.2270,5.1520,3.0020,2.9230 freq,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627,7.8125,7.8740,7.9365 sv,,2.9000,2.8730,2.8490,2.8440,2.7610,2.6670,2.6350,2.7850,2.7550 freq,8.3333,8.9286,9.5238,9.6154,9.7087,10.4167,10.8696,11.6279,11.7647 sv,,2.8070,2.7970,2.7440,2.6740,2.6270,2.7810,2.9310,3.0770,3.1120 freq,12.1951,12.5000,12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 sv,,3.1340,3.1340,3.1160,2.9750,2.6870,2.5600,2.3990,2.0640,1.8550

freq,15.3846,15.6250,17.8571,18.8679,22.7273,23.8095,24.3902,25.6410,26.3158 sv,,1.5240,1.5120,1.4720,1.3350,1.0900,1.0730,1.0700,1.0490,1.0040

freq,27.0270,27.7778,28.5714,40.000,76.9231,1000.0000 sv,,0.9823,0.9669,0.9560,0.8930,0.8300,0.7710


2773

NRC Piping Benchmarks Input Listings sed,1,0,0 solve

! Excitation in X - Direction

/com, /com, Excitation in Y - Direction /com,****************************** svtyp,2,gvalue freq,, freq,0.5,2,2.100,2.898,4,5,7.692,8.474,10.309 sv,,0.380,2.050,2.750,2.750,3.500,3.500,5.800,12.100,12.100 freq,11.494,14.104,15.384,17.605,23.255,50 sv,,10.700,10.700,5.900,5.900,2.050,1.570 sed,0,1,0 solve

! Excitation in Y - Direction

/com, /com, Excitation in Z - Direction /com,****************************** svtyp,2,gvalue freq,,, freq,1,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937,1.3423,1.3889 sv,,1.1620,1.2820,1.3990,1.5490,1.6060,1.6760,1.7040,1.7740,1.8390 freq,1.4104,1.4347,1.5552,1.6949,1.7825,1.9305,2.0747,2.2779,2.4752 sv,,1.8690,1.9040,2.0840,2.2460,2.3040,2.3820,2.4790,2.5920,2.6440 freq,2.6042,2.6596,2.9499,3.2362,3.3898,3.4965,3.5714,3.6101,3.6630 sv,,2.6400,2.6390,2.7820,2.9510,3.0660,3.2150,3.3840,3.5320,3.7660 freq,3.7313,3.8168,3.8911,3.9216,4.2918,4.6948,4.7847,5.0505,5.0761 sv,,4.1890,4.7930,5.1890,5.2240,5.2320,5.2270,5.1520,3.0020,2.9230 freq,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627,7.8125,7.8740,7.9365 sv,,2.900,2.8730,2.8490,2.8440,2.7610,2.6670,2.6350,2.6850,2.7550 freq,8.333,8.9286,9.5238,9.6154,9.7087,10.4167,10.8696,11.6279,11.7647 sv,,2.8070,2.7970,2.7440,2.6740,2.6270,2.7810,2.9310,3.0770,3.1120 freq,12.1951,12.5000,12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 sv,,3.1340,3.1340,3.1160,2.9750,2.6870,2.5600,2.3990,2.0640,1.8550 freq,15.3846,15.6250,17.8571,18.8679,22.7273,23.8095,24.3902,25.6410,26.3158 sv,,1.5240,1.5120,1.4720,1.3350,1.0900,1.0730,1.0700,1.0490,1.0040 freq,27.0270,27.7778,28.5714,40.000,76.9231,1000.000 sv,,0.9823,0.9669,0.9560,0.8930,0.8300,0.7710 sed,0,0,1 solve

! Excitation in Z - Direction

finish /com,-----------------------------------------------------------------------------------/post1 /input,,mcom /out, /com, /com,=============================================================== /com, Maximum nodal displacements and rotations from spectrum solution /com,=============================================================== /com, /out,scratch

2774



*GET,AdisX,NODE,151,U,X *GET,AdisY,NODE,87,U,Y *GET,AdisZ,NODE,92,U,Z *GET,ArotX,NODE,92,ROT,X *GET,ArotY,NODE,72,ROT,Y *GET,ArotZ,NODE,160,ROT,Z /out, *stat,AdisX *stat,AdisY *stat,AdisZ *stat,ArotX *stat,ArotY *stat,ArotZ /com,============================================================== /com, Element Forces and Moments obtained from spectrum solution /com,============================================================== /out,scratch /com,========== /com, Node I /com,========== /com, Element #1 (Pipe289 element) /com,************************




2775


/out,scratch





2776



vm-nr1677-02-3b Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-02-3b /title,vm-nr1677-02-3b,NRC piping benchmarks problems,Volume II,Problem 3b /com, *************************************************************************** /com, Reference: Piping benchmark problems,Dynamic analysis independant support /com, motion response spectrum method, P. Bezler, M. Subudhi and /com, M.Hartzman, NUREG/CR--1677-Vol.2, August 1985. /com, /com, /com, Elements used: PIPE289, ELBOW290 and COMBIN14 /com, /com, Results : /com, The following results are outputted /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum nodal displacements and rotations obtained from spectrum solution. /com, 3. Element forces/moments obtained from spectrum solution. /com, 4. Reaction forces obtained from spectrum solution. /com, /com, ******************************************************************************* /out,scratch /prep7 YoungModulus1 = 0.277e+08 ! Young's Modulus Nu = 0.3 ! Minor Poisson's Ratio ShearModulus1 = YoungModulus1/(2*(1+Nu)) ! Shear Modulus WMass = 1.546e-03 ! Density WTick=0.3750 ! Wall Thickness OD=12.750 ! Outer Diameter Temperature = 400 Pressue = 615 maxm=15 ! No. of Modes to Extract radcur1 = -60 radcur2 = -18


/com,-----------------------------------------------------------------------------------et, 1,pipe289,,, et, 2,elbow290,,6 et, 3,elbow290,,6 et, 4,combin14 keyopt,4,2,2 et, 5,combin14 keyopt,5,2,1 et, 6,combin14 keyopt,6,2,2 et, 7,combin14 keyopt,7,2,3 et, 8,combin14 keyopt,8,2,4 et, 9,combin14 keyopt,9,2,5 et,10,combin14 keyopt,10,2,6

! Element 1 - PIPE289 ! Element 2 - ELBOW290 ! Element 3 - ELBOW290 ! Element 4 - COMBIN14 ! Y Degree of Freedom ! Element 5 - COMBIN14 ! X Degree of Freedom ! Element 6 - COMBIN14 ! Y Degree of Freedom ! Element 7 - COMBIN14 ! Z Degree of Freedom ! Element 8 - COMBIN14 ! ROT-X Degree of Freedom ! Element 9 - COMBIN14 ! ROT-Y Degree of Freedom ! Element 10 - COMBIN14 ! ROT-Z Degree of Freedom

/com,-----------------------------------------------------------------------------------/com, Real Constants /com,**************** sectype,1,pipe secdata,OD,WTick,24


2777

NRC Piping Benchmarks Input Listings r, 4, r, 5, r, 6, r, 7, r, 8, r, 9, r,10,

0.1e+2 0.1e+13 0.1e+13 0.1e+13 0.1e+13 0.1e+13 0.1e+13



/com,-----------------------------------------------------------------------------------/com, key points /com,******* k,1,0,1226.875,0 k,2,30.021,1226.875,30.550 k,3,60.042,1226.875,61.100 k,4,90.064,1226.875,91.651 k,5,105.154,1226.875,102.817 k,6,139.302,1226.875,120.593 k,7,181.878,1226.875,142.757 k,8,224.435,1226.875,164.922 k,9,243.383,1226.875,174.774 k,10,262.311,1226.875,184.628 k,11,292.798,1226.875,191.342 k,12,334.171,1226.875,189.421 !k,120,334.171,1226.875,189.421 k,13,375.543,1226.875,187.500 k,14,405.511,1226.875,186.110 k,140,431.483,1226.875,184.904 k,15,501.172,1226.875,181.669 k,16,570.860,1226.875,178.433 k,17,579.777,1226.875,178.683 k,18,615.118,1226.875,182.316 k,20,633.028,1226.875,184.156 k,21,678.227,1226.875,188.802 k,22,723.426,1226.875,193.448 k,23,768.625,1226.875,198.095 k,24,809.602,1226.875,187.256 k,25,814.057,1226.875,184.079 k,26,852.626,1226.875,156.568 k,27,891.195,1226.875,129.058 k,28,929.764,1226.875,101.547 k,29,968.332,1226.875,74.036 k,290,978.101,1226.875,67.067 k,31,1012.600,1226.875,42.430 !k,310,1012.600,1226.875,42.430 k,32,1047.098,1226.875,17.793 k,34,1061.752,1244.875,7.340 k,35,1061.752,1272.375,7.340 k,36,1072.214,1290.375,-7.307 k,37,1081.623,1290.375,-20.48 k,38,1108.85,1290.375,-58.399

2778


vm-nr1677-02-3b Input Listing k,39,1136.077,1290.375,-96.317 k,40,1163.304,1290.375,-134.236 k,41,1190.531,1290.375,-172.154 /com, /com, Elastic Support /com,*********************** k,410,1190.531,1290.375,-172.154 k,43,1197.006,1290.375,-182.019 k,44,1207.729,1290.375,-209.536 k,45,1211.63,1290.375,-241.111 k,46,1215.531,1290.375,-272.687 k,47,1219.432,1290.375,-304.262 k,48,1223.333,1290.375,-335.873 k,49,1227.234,1290.375,-367.413 k,51,1232.114,1290.375,-407.115 k,52,1233.704,1295.647,-419.787 k,53,1234.945,1305.772,-429.836 k,55,1254.329,1318.500,-439.952 k,56,1279.579,1318.500,-436.387 k,57,1304.829,1318.500,-432.823 k,58,1330.078,1318.500,-429.258 k,59,1355.328,1318.500,-425.693 !k,61,431.943,1226.875,194.899 !k,62,616.14,1226.875,172.368 !k,63,974.139,1226.875,82.176 k,65,1227.234,1300.375,-367.413 !k,66,1255.726,1318.500,-449.852 !k,67,1182.401,1290.375,-177.966 k,68,105.154,1236.875,102.817 k,69,224.435,1236.875,164.922 k,70,405.511,1236.875,186.110 k,71,633.028,1236.875,184.156 k,72,814.057,1236.875,184.079 k,73,978.101,1236.875,67.067 k,74,1081.623,1300.375,-20.48 k,75,1190.531,1300.375,-172.154 !k,101,10,1226.875,0 !k,102,0,1236.875,0 !k,103,0,1226.875,10 !k,591,1345.328,1318.5,-425.693 !k,592,1355.328,1328.5,-425.693 !k,593,1355.328,1318.5,-415.693 k,601,93.495,1226.9,94.879 k,701,90.618,1226.9,92.207 k,702,91.180,1226.9,92.757 k,703,91.748,1226.9,93.298 k,704,92.324,1226.9,93.833 k,705,92.906,1226.9,94.360 k,711,94.091,1226.9,95.390 k,712,94.694,1226.9,95.894 k,713,95.304,1226.9,96.390 k,714,95.919,1226.9,96.877 k,715,96.542,1226.9,97.357 k,602,97.170,1226.9,97.828 k,721,97.804,1226.9,98.291 k,722,98.443,1226.9,98.746 k,723,99.089,1226.9,99.192 k,724,99.740,1226.9,99.630


2779

NRC Piping Benchmarks Input Listings k,725,100.40,1226.9,100.06 k,731,101.73,1226.9,100.89 k,732,102.40,1226.9,101.29 k,733,103.08,1226.9,101.69 k,734,103.77,1226.9,102.07 k,735,104.46,1226.9,102.45 k,603,101.06,1226.9,100.48 k,741,267.08,1226.9,186.85 k,742,272.03,1226.9,188.65 k,743,277.11,1226.9,190.00 k,744,282.29,1226.9,190.91 k,745,287.54,1226.9,191.36 k,751,572.35,1226.9,178.38 k,752,573.84,1226.9,178.37 k,753,575.32,1226.9,178.39 k,754,576.81,1226.9,178.45 k,755,578.29,1226.9,178.55 k,761,775.83,1226.9,198.40 k,762,783.03,1226.9,197.84 k,763,790.10,1226.9,196.41 k,764,796.95,1226.9,194.15 k,765,803.49,1226.9,191.09 k,771,1199.7,1290.4,-186.18 k,772,1202.1,1290.4,-190.55 k,773,1204.1,1290.4,-195.11 k,774,1205.7,1290.4,-199.81 k,775,1206.9,1290.4,-204.63 k,781,1050.9,1227.5,15.088 k,782,1054.4,1229.3,12.567 k,783,1057.5,1232.1,10.402 k,784,1059.8,1235.9,8.7405 k,785,1061.3,1240.2,7.6962 k,791,1062.1,1277.0,6.8409 k,792,1063.2,1281.4,5.3777 k,793,1064.8,1285.1,3.0499 k,794,1067.0,1288.0,0.16395E-01 k,795,1069.5,1289.8,-3.5163 k,801,1232.4,1290.5,-409.45 k,802,1232.7,1291.0,-411.75 k,803,1233.0,1291.7,-413.97 k,804,1233.2,1292.8,-416.08 k,805,1233.5,1294.1,-418.02 k,811,1236.0,1309.0,-432.99 k,812,1238.2,1312.1,-435.76 k,813,1241.3,1314.7,-437.97 k,814,1245.3,1316.7,-439.46 k,815,1249.7,1318.0,-440.13 /com,-----------------------------------------------------------------------------------/com, /com, Straight Pipe (Tangent) Elements /com,********************************** mat,1 type,1 secnum,1 l,1,2 l,2,3 l,3,4

2780

! Material ID 1 ! Element Type 1 ! Section 1 ! line number 1


vm-nr1677-02-3b Input Listing l,5,6 l,6,7 l,7,8 l,8,9 l,9,10 l,11,12 l,12,13 l,13,14 l,14,140 l,140,15 l,15,16 l,17,18 l,18,20 l,20,21 l,21,22 l,22,23 l,24,25 l,25,26 l,26,27 l,27,28 l,28,29 l,29,290 l,290,31 l,31,32 l,34,35 l,36,37 l,37,38 l,38,39 l,39,40 l,40,41 l,41,43 l,44,45 l,45,46 l,46,47 l,47,48 l,48,49 l,49,51 l,52,53 l,55,56 l,56,57 l,57,58 l,58,59

! line number 45

lesize,all,,,1 lmesh,all allsel,all /com, /com, Pipe Bend Elements /com,******************** type,2 secnum,1 mat,1 larc,4,702,701, radcur1 larc,702,704,703, radcur1 larc,704,601,705, radcur1 larc,601,712,711, radcur1 larc,712,714,713, radcur1 larc,714,602,715, radcur1 larc,602,722,721, radcur1

! line number 46


2781

NRC Piping Benchmarks Input Listings larc,722,724,723, radcur1 larc,724,603,725, radcur1 larc,603,732,731, radcur1 larc,732,734,733, radcur1 larc,734,5,735, radcur1 larc,10,742,741, radcur1 larc,742,744,743, radcur1 larc,744,11,745, radcur1 larc,16,752,751, radcur1 larc,752,754,753, radcur1 larc,754,17,755, radcur1 larc,23,762,761, radcur1 larc,762,764,763, radcur1 larc,764,24,765, radcur1 larc,43,772,771, radcur1 larc,772,774,773, radcur1 larc,774,44,775, radcur1

! line number 69



! line number 70

! line number 81


! line number 82

lesize,82,,,1 lmesh,all allsel,all type,6 real,6 l,5,68 l,8,69 l,14,70 l,20,71 l,25,72 l,290,73 l,37,74 l,410,75

! line number 83

! line number 90

lsel,s,line,,83,90,1 lesize,all,,,1

2782


vm-nr1677-02-3b Input Listing lmesh,all allsel,all


n30 n31 n32 n33 n34 n35 n36 n37

= = = = = = = =

node(105.154,1236.875,102.817) node(224.435,1236.875,164.922) node(405.511,1236.875,186.110) node(633.028,1236.875,184.156) node(814.057,1236.875,184.079) node(978.101,1236.875,67.067) node(1081.623,1300.375,-20.48) node(1190.531,1300.375,-172.154)

n,101000,10,1226.875,0 n,102000,0,1236.875,0 n,103000,0,1226.875,10 n,120000,334.171,1226.875,189.421


2783


n,310000,1012.600,1226.875,42.430 n,591000,1345.328,1318.5,-425.693 n,592000,1355.328,1328.5,-425.693 n,593000,1355.328,1318.5,-415.693 n46 = node(0,1226.875,0)

type,5 real,5 n1 = 92 n2 = 66000 n3 = 93 ics = 11 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 72 n2 = 67000 n3 = 70 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 /com, /com, Snubber Elements /com,****************** n1 = 22 n2 = 120000 n3 = 99 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 26 n2 = 61000 n3 = 28 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 33 n2 = 62000 n3 = 32 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3)

2784


vm-nr1677-02-3b Input Listing cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 52 n2 = 63000 n3 = 50 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 58 n2 = 310000 n3 = 60 !n3 = 59 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 /com, /com, 3D Support at both ends /com,************************* type,5 real,5 e,1,101000 e,99,591000 type,6 real,6 e,1,102000 e,99,592000 type,7 real,7 e,1,103000 e,99,593000 type,8 real,8 e,1,101000 e,99,591000 type,9 real,9 e,1,102000 e,99,592000 type,10 real,10 e,1,103000 e,99,593000 /com,-----------------------------------------------------------------------------------/com, /com, Model Rigid Region /com,******************** cerig,72,172,uy


2785


/com,-----------------------------------------------------------------------------------/com, /com, Convert some PIPE289 into ELBOW290 using ELBOW command /com, elbow,on,,,sect allsel,all

/com, /com, Constraints /com,************* nsel,s,node,,61000,63000 nsel,a,node,,164 nsel,a,node,,66000,67000,1 nsel,a,node,,165,173,1 nsel,a,node,,101000,103000 nsel,a,node,,120000 nsel,a,node,,310000 nsel,a,node,,591000,593000 d,all,all,0 nsel,all /com,-----------------------------------------------------------------------------------/com, /com, Loads /com,******* /com, Temperature Input /com,******************* bf,all,temp,Temperature esel,r,type,,1 esel,a,type,,2 esel,a,type,,3 /com, Pressure Input /com,**************** sfe,all,1,pres,,Pressue,,, allsel,all,all finish /com,-----------------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal ! Perform modal solve modopt,lanb,maxm lump,on ! Lumped mass formulation mxpand,maxm,,,yes ! Expand the modes with stress calculation solve save, finish

/post1 /out, /com, ******************************************** /com, Frequencies obtained from modal solution

2786


vm-nr1677-02-3b Input Listing /com, ********************************************* set,list finish /com,-----------------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /out,scratch /solution sfedele,all,1,pres,,, bfdele,all,temp,,, antype,spectrum spopt,mprs,maxm


gval = 386.4 /com,-----------------------------------------------------------------------------------/com, /com, /com, Spectrum 1 (Group 1 - X - Direction Excitation) /com,************************************************* spunit,1,accg, gval spfrq,1, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,1,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,1, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6949,1.7825 spval,1,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,1, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,1,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,1, 3.2362,3.3898,3.4965,3.5714,3.6101,3.663,3.7313 spval,1,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,1, 3.8168,3.8911,3.9216,4.218,4.6948,4.7847,5.0505 spval,1,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,1, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,1,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,1, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,1,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,1, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,1,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,1, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,1,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,1, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,1,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,1, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,1,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,1, 1000.0 spval,1,, 0.771 /com, /com, Spectrum 2 (Group 1 - Y - Direction Excitation) /com,************************************************* spunit,2,accg, gval


2787


spfrq,2, 0.5,1.4993,1.6207,1.9011,2.0704,3.8023,4.2553, spval,2,, 0.35,1.45,1.8,1.8,2.61,2.61,2.78, spfrq,2, 5.1813,5.4054,7.8125,8.1301,9.901,11.5207,14.1044, spval,2,, 2.78,2.58,2.58,3.25,3.25,3.62,3.62, spfrq,2, 14.4928,17.6991,23.9981,59.988 spval,2,, 3.05,3.05,1.20,0.75 /com, /com, Spectrum 3 (Group 1 - Z - Direction Excitation) /com,************************************************* spunit,3,accg, gval spfrq,3, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,3,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,3, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6778,1.7825 spval,3,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,3, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,3,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782, spfrq,3, 3.2362,3.3898,3.4722,3.5714,3.6101,3.663,3.7313 spval,3,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,3, 3.8168,3.8911,3.9216,4.2918,4.6948,4.7847,5.0505 spval,3,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,3, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,3,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,3, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,3,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,3, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,3,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,3, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,3,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,3, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,3,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,3, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,3,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,3, 1000.0 spval,3,, 0.771

/com,-----------------------------------------------------------------------------------/com, /com, /com, Spectrum 4 (Group 2 - X - Direction Excitation) /com,************************************************* spunit,4,accg, gval spfrq,4, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,4,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,4, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6778,1.7825 spval,4,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,4, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,4,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,4, 3.2362,3.3898,3.4722,3.5714,3.6101,3.663,3.7313

2788


vm-nr1677-02-3b Input Listing spval,4,,

2.951,3.066,3.215,3.384,3.532,3.766,4.189

spfrq,4, 3.8168,3.8911,3.9216,4.2918,4.6948,4.7847,5.0505 spval,4,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,4, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,4,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,4, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,4,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,4, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,4,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,4, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,4,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,4, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,4,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,4, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,4,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,4, 1000.0 spval,4,, 0.771 /com, /com, Spectrum 5 (Group 2 - Y - Direction Excitation) /com,************************************************* spunit,5,accg, gval spfrq,5, 0.50,1.4556,1.9011,2.0704,2.907,4.065,4.9603 spval,5,, 1.45,1.8,1.8,2.68,2.68,3.17,3.17 spfrq,5, 5.0,7.5988,8.5034,10.9051,11.5207,14.0845,16.0 spval,5,, 3.03,3.03,4.82,4.82,5.95,5.95,4.49 spfrq,5, 19.1205,21.0084,50.0 spval,5,, 4.49,1.85,1.05 /com, /com, Spectrum 6 (Group 2 - Z - Direction Excitation) /com,************************************************* spunit,6,accg, gval spfrq,6, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,6,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,6, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6778,1.7825 spval,6,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,6, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,6,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,6, 3.2362,3.3898,3.4722,3.5714,3.6101,3.663,3.7313 spval,6,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,6, 3.8168,3.8911,3.9216,4.2918,4.6948,4.7847,5.0505 spval,6,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,6, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,6,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,6, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,6,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,6, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,6,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,6, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857


2789


3.116,2.975,2.687,2.56,2.399,2.064,1.855

spfrq,6, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,6,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,6, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,6,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,6, 1000.0 spval,6,, 0.771 /com,-----------------------------------------------------------------------------------/com, /com, /com, Spectrum 7 (Group 3 - X - Direction Excitation) /com,************************************************* spunit,7,accg, gval spfrq,7, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,7,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,7, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6778,1.7825 spval,7,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,7, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,7,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,7, 3.2362,3.3898,3.4722,3.5714,3.6101,3.663,3.7313 spval,7,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,7, 3.8168,3.8911,3.9216,4.2918,4.6948,4.7847,5.0505 spval,7,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,7, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,7,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,7, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,7,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,7, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,7,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,7, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,7,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,7, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,7,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,7, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,7,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,7, 1000.0 spval,7,, 0.771 /com, /com, Spectrum 8 (Group 3 - Y - Direction Excitation) /com,************************************************* spunit,8,accg, gval spfrq,8, 0.5,1.9011,2.0704,3.003,4.0486,4.9505,7.1942 spval,8,, 0.4,1.88,2.72,2.72,3.42,3.42,3.82 spfrq,8, 8.1301,9.5238,10.352,12.6422,13.5135,15.4083,15.7978 spval,8,, 7.21,7.21,8.18,8.18,6.39,6.39,5.92 spfrq,8, 17.6991,21.0084,50.0 spval,8,, 5.92,2.25,1.55 /com,

2790


vm-nr1677-02-3b Input Listing /com, Spectrum 9 (Group 3 - Z - Direction Excitation) /com,************************************************* spunit,9,accg, gval spfrq,9, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,9,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,9, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6778,1.7825 spval,9,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,9, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,9,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,9, 3.2362,3.3898,3.4722,3.5714,3.6101,3.663,3.7313 spval,9,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,9, 3.8168,3.8911,3.9216,4.2918,4.6948,4.7847,5.0505 spval,9,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,9, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,9,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,9, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,9,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,9, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,9,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,9, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,9,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,9, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,9,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,9, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,9,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,9, 1000.0 spval,9,, 0.771 /com,-----------------------------------------------------------------------------------/com, /com, /com, Spectrum 10 (Group 4 - X - Direction Excitation) /com,************************************************** spunit,10,accg, gval spfrq,10, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,10,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,10, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6778,1.7825 spval,10,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,10, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,10,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,10, 3.2362,3.3898,3.4722,3.5714,3.6101,3.663,3.7313 spval,10,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,10, 3.8168,3.8911,3.9216,4.2918,4.6948,4.7847,5.0505 spval,10,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,10, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,10,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,10, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,10,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,10, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50


2791


2.627,2.781,2.931,3.077,3.112,3.134,3.134

spfrq,10, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,10,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,10, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,10,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,10, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,10,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,10, 1000.0 spval,10,, 0.771

/com, /com, Spectrum 11 (Group 4 - Y - Direction Excitation) /com,************************************************** spunit,11,accg, gval spfrq,11, 0.5,1.3004,2.0,3.003,4.0486,4.9505,6.993 spval,11,, 0.5,1.4,2.75,2.75,3.5,3.5,4.5 spfrq,11, 8.1301,10.4167,11.4943,14.845,17.5439,22.2222,50.0 spval,11,, 12.1,12.1,10.7,10.7,2.7,1.8,1.5

/com, /com, Spectrum 12 (Group 4 - Z - Direction Excitation) /com,************************************************** spunit,12,accg, gval spfrq,12, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,12,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,12, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6778,1.7825 spval,12,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,12, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,12,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,12, 3.2362,3.3898,3.4722,3.5714,3.6101,3.663,3.7313 spval,12,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,12, 3.8168,3.8911,3.9216,4.2918,4.6948,4.7847,5.0505 spval,12,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,12, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,12,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,12, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,12,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,12, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,12,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,12, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,12,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,12, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,12,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,12, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,12,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,12, 1000.0 spval,12,, 0.771 /com,-----------------------------------------------------------------------------------/com,

2792



/com, /com, Nodal Components for Excitation Points (non rotated) /com,****************************************************** allsel,all nsel,s,node,,165 nsel,a,node,,168 nsel,a,node,,170 nsel,a,node,,591000,593000 cm,group_1,node allsel,all,all nsel,s,node,,167 nsel,a,node,,173 nsel,a,node,,164 cm,group_2,node allsel,all,all nsel,s,node,,166 nsel,a,node,,169 nsel,a,node,,171 cm,group_3,node allsel,all,all nsel,s,node,,101000,103000 cm,group_4,node allsel,all,

/com,-----------------------------------------------------------------------------------/com, /com, /com, -- Support Group 1 - spectrum 1 (Along X - Direction)(68,61,71,63,73,310,591,592,593) /com,**************************************************************************************** d,591000,ux,1.0 d,61000,ux,4.5974e-2 d,63000,ux,0.58075 d,310000,ux,-0.81378 pfact,1 d,591000,ux,0.0 d,61000,ux,0 d,63000,ux,0 d,310000,ux,0 /com, /com, -- Support Group 1 - spectrum 2 (Along Y - Direction) /com,******************************************************* d,165,uy,1 d,168,uy,1 d,170,uy,1 d,592000,uy,1 d,61000,ux,-0.5842e-16 d,63000,ux,0.2567e-16 d,310000,ux,-0.2074e-15 pfact,2 d,165,uy,0 d,168,uy,0 d,170,uy,0 d,592000,uy,0 d,61000,ux,0


2793

NRC Piping Benchmarks Input Listings d,63000,ux,0 d,310000,ux,0 /com, /com, -- Support Group 1 - spectrum 3 (Along Z - Direction) /com,******************************************************* d,593000,uz,1.0 d,61000,ux,0.9989 d,63000,ux,0.8141 d,310000,ux,0.5812 pfact,3 d,593000,uz,0.0 d,61000,ux,0 d,63000,ux,0 d,310000,ux,0 /com,-----------------------------------------------------------------------------------/com, /com, /com, -- Support Group 2 - spectrum 4 (Along X - Direction)(120,70,62,65,75,67) /com,***************************************************************************

d,120000,ux,-0.998923 d,62000,ux,0.1021963 d,67000,ux,-0.8135 pfact,4 d,120000,ux,0 d,62000,ux,0 d,67000,ux,0 /com, /com, -- Support Group 2 - spectrum 5 (Along Y - Direction) /com,******************************************************* d,167,uy,1 d,164,uy,1 d,173,uy,1 d,120000,ux,0.1299e-13 d,62000,ux,0.5497e-16 d,67000,ux,0.1110e-15 pfact,5 d,167,uy,0 d,164,uy,0 d,173,uy,0 d,120000,ux,0 d,62000,ux,0 d,67000,ux,0 /com, /com, -- Support Group 2 - spectrum 6 (Along Z - Direction) /com,******************************************************* d,120000,ux,0.4638e-01 d,62000,ux,-0.9948 d,67000,ux,-0.5816 pfact,6 d,120000,ux,0 d,62000,ux,0 d,67000,ux,0 /com,------------------------------------------------------------------------------------

2794


vm-nr1677-02-3b Input Listing /com, /com, /com, -- Support Group 3 - spectrum 7 (Along X - Direction)(69,72,74) /com,***************************************************************** pfact,7 /com, /com, -- Support Group 3 - spectrum 8 (Along Y - Direction) /com,******************************************************* d,166,uy,1 d,169,uy,1 d,171,uy,1 pfact,8 d,166,uy,0 d,169,uy,0 d,171,uy,0 /com, /com, -- Support Group 3 - spectrum 9 (Along Z - Direction) /com,******************************************************* pfact,9 /com,-----------------------------------------------------------------------------------/com, /com, /com, -- Support Group 4 - spectrum 10 (Along X - Direction)(101,102,103,55) /com,************************************************************************ d,101000,ux,1.0 d,66000,ux,0.1397268 pfact,10 d,101000,ux,0 d,66000,ux,0 /com, /com, -- Support Group 4 - spectrum 11 (Along Y - Direction) /com,******************************************************** d,102000,uy,1 d,66000,ux,-0.5268e-16 pfact,11 d,102000,uy,0 d,66000,ux,0 /com, /com, -- Support Group 4 - spectrum 12 (Along Z - Direction) /com,******************************************************** d,103000,uz,1 d,66000,ux,-0.9902 pfact,12 d,103000,uz,0 d,66000,ux,0 srss,0.0 solve

! take all modes (Mode combination method)

/com,-----------------------------------------------------------------------------------/com,


2795

NRC Piping Benchmarks Input Listings finish /com,-----------------------------------------------------------------------------------/com, /post1 /input,vm-nr1677-02-3b,mcom /out, /com, /com,=============================================================== /com, Maximum nodal displacements and rotations from spectrum solution /com,=============================================================== /com, /out,scratch *GET,AdisX,NODE,63,U,X *GET,AdisY,NODE,87,U,Y *GET,AdisZ,NODE,63,U,Z *GET,ArotX,NODE,58,ROT,X *GET,ArotY,NODE,72,ROT,Y *GET,ArotZ,NODE,61,ROT,Z /out, *stat,AdisX *stat,AdisY *stat,AdisZ *stat,ArotX *stat,ArotY *stat,ArotZ /com,============================================================== /com, Element Forces and Moments obtained from spectrum solution /com,============================================================== /out,scratch /com,========== /com, Node I /com,========== /com, Element #1 (Pipe289 element) /com,************************


/out,scratch /com,========== /com, Node J /com,========== /com, Element #1 (Pipe289 element) /com,************************

2796


vm-nr1677-02-3b Input Listing esel,s,elem,,1 etable,pxj_1,smisc,14 etable,vyj_1,smisc,19 etable,vzj_1,smisc,18 etable,txj_1,smisc,17 etable,myj_1,smisc,15 etable,mzj_1,smisc,16 esel,all /out, /com, ********************************************** /com, Element forces and moments at element1, node j /com, ************************************************ pretab,pxj_1,vyj_1,vzj_1,txj_1,myj_1,mzj_1

/out,scratch





2797



vm-nr1677-02-3c Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-02-3c /title,vm-nr1677-02-3c,NRC piping benchmarks problems,Volume II,Problem 3c /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com,

******************************************************************************* Reference: Piping benchmark problems,Dynamic analysis independant support motion response spectrum method, P. Bezler, M. Subudhi and M.Hartzman, NUREG/CR--1677-Vol.2, August 1985. Elements used: PIPE289, ELBOW290, COMBIN14 Results: The following results are outputted 1. Frequencies obtained from modal solution. 2. Maximum nodal displacements and rotations obtained from spectrum solution. 3. Element forces/moments obtained from spectrum solution. 4. Reaction forces obtained from spectrum solution. *******************************************************************************

/out,scratch /prep7 YoungModulus1 = 0.277e+08 ! Young's Modulus Nu = 0.3 ! Minor Poisson's Ratio ShearModulus1 = YoungModulus1/(2*(1+Nu)) ! Shear Modulus WMass = 1.546e-03 ! Density WTick=0.3750 ! Wall Thickness OD=12.750 ! Outer Diameter Temperature = 400 Pressue = 615 maxm=15 ! No. of Modes to Extract radcur1 = -60 radcur2 = -18


/com,-----------------------------------------------------------------------------------et, 1,pipe289,,, et, 2,elbow290,,6 et, 3,elbow290,,6 et, 4,combin14 keyopt,4,2,2 et, 5,combin14 keyopt,5,2,1 et, 6,combin14 keyopt,6,2,2 et, 7,combin14 keyopt,7,2,3

2798

! Element 1 - PIPE289 ! Element 2 - ELBOW290 ! Element 3 - ELBOW290 ! ! Y ! ! X ! ! Y ! ! Z

Element 4 Degree of Element 5 Degree of Element 6 Degree of Element 7 Degree of

- COMBIN14 Freedom - COMBIN14 Freedom - COMBIN14 Freedom - COMBIN14 Freedom


vm-nr1677-02-3c Input Listing et, 8,combin14 keyopt,8,2,4 et, 9,combin14 keyopt,9,2,5 et,10,combin14 keyopt,10,2,6

! Element 8 - COMBIN14 ! ROT-X Degree of Freedom ! Element 9 - COMBIN14 ! ROT-Y Degree of Freedom ! Element 10 - COMBIN14 ! ROT-Z Degree of Freedom

/com,-----------------------------------------------------------------------------------/com, Real Constants /com,**************** sectype,1,pipe secdata,OD,WTick,24 r, 4, r, 5, r, 6, r, 7, r, 8, r, 9, r,10,

0.1e+2 0.1e+13 0.1e+13 0.1e+13 0.1e+13 0.1e+13 0.1e+13



/com,-----------------------------------------------------------------------------------/com, key points /com,******* k,1,0,1226.875,0 k,2,30.021,1226.875,30.550 k,3,60.042,1226.875,61.100 k,4,90.064,1226.875,91.651 k,5,105.154,1226.875,102.817 k,6,139.302,1226.875,120.593 k,7,181.878,1226.875,142.757 k,8,224.435,1226.875,164.922 k,9,243.383,1226.875,174.774 k,10,262.311,1226.875,184.628 k,11,292.798,1226.875,191.342 k,12,334.171,1226.875,189.421 !k,120,334.171,1226.875,189.421 k,13,375.543,1226.875,187.500 k,14,405.511,1226.875,186.110 k,140,431.483,1226.875,184.904 k,15,501.172,1226.875,181.669 k,16,570.860,1226.875,178.433 k,17,579.777,1226.875,178.683 k,18,615.118,1226.875,182.316 k,20,633.028,1226.875,184.156 k,21,678.227,1226.875,188.802 k,22,723.426,1226.875,193.448 k,23,768.625,1226.875,198.095 k,24,809.602,1226.875,187.256 k,25,814.057,1226.875,184.079 k,26,852.626,1226.875,156.568


2799

NRC Piping Benchmarks Input Listings k,27,891.195,1226.875,129.058 k,28,929.764,1226.875,101.547 k,29,968.332,1226.875,74.036 k,290,978.101,1226.875,67.067 k,31,1012.600,1226.875,42.430 !k,310,1012.600,1226.875,42.430 k,32,1047.098,1226.875,17.793 k,34,1061.752,1244.875,7.340 k,35,1061.752,1272.375,7.340 k,36,1072.214,1290.375,-7.307 k,37,1081.623,1290.375,-20.48 k,38,1108.85,1290.375,-58.399 k,39,1136.077,1290.375,-96.317 k,40,1163.304,1290.375,-134.236 k,41,1190.531,1290.375,-172.154 /com, /com, Elastic Support /com,*********************** k,410,1190.531,1290.375,-172.154 k,43,1197.006,1290.375,-182.019 k,44,1207.729,1290.375,-209.536 k,45,1211.63,1290.375,-241.111 k,46,1215.531,1290.375,-272.687 k,47,1219.432,1290.375,-304.262 k,48,1223.333,1290.375,-335.873 k,49,1227.234,1290.375,-367.413 k,51,1232.114,1290.375,-407.115 k,52,1233.704,1295.647,-419.787 k,53,1234.945,1305.772,-429.836 k,55,1254.329,1318.500,-439.952 k,56,1279.579,1318.500,-436.387 k,57,1304.829,1318.500,-432.823 k,58,1330.078,1318.500,-429.258 k,59,1355.328,1318.500,-425.693 !k,61,431.943,1226.875,194.899 !k,62,616.14,1226.875,172.368 !k,63,974.139,1226.875,82.176 k,65,1227.234,1300.375,-367.413 !k,66,1255.726,1318.500,-449.852 !k,67,1182.401,1290.375,-177.966 k,68,105.154,1236.875,102.817 k,69,224.435,1236.875,164.922 k,70,405.511,1236.875,186.110 k,71,633.028,1236.875,184.156 k,72,814.057,1236.875,184.079 k,73,978.101,1236.875,67.067 k,74,1081.623,1300.375,-20.48 k,75,1190.531,1300.375,-172.154 !k,101,10,1226.875,0 !k,102,0,1236.875,0 !k,103,0,1226.875,10 !k,591,1345.328,1318.5,-425.693 !k,592,1355.328,1328.5,-425.693 !k,593,1355.328,1318.5,-415.693 k,601,93.495,1226.9,94.879 k,701,90.618,1226.9,92.207 k,702,91.180,1226.9,92.757 k,703,91.748,1226.9,93.298

2800


vm-nr1677-02-3c Input Listing k,704,92.324,1226.9,93.833 k,705,92.906,1226.9,94.360 k,711,94.091,1226.9,95.390 k,712,94.694,1226.9,95.894 k,713,95.304,1226.9,96.390 k,714,95.919,1226.9,96.877 k,715,96.542,1226.9,97.357 k,602,97.170,1226.9,97.828 k,721,97.804,1226.9,98.291 k,722,98.443,1226.9,98.746 k,723,99.089,1226.9,99.192 k,724,99.740,1226.9,99.630 k,725,100.40,1226.9,100.06 k,731,101.73,1226.9,100.89 k,732,102.40,1226.9,101.29 k,733,103.08,1226.9,101.69 k,734,103.77,1226.9,102.07 k,735,104.46,1226.9,102.45 k,603,101.06,1226.9,100.48 k,741,267.08,1226.9,186.85 k,742,272.03,1226.9,188.65 k,743,277.11,1226.9,190.00 k,744,282.29,1226.9,190.91 k,745,287.54,1226.9,191.36 k,751,572.35,1226.9,178.38 k,752,573.84,1226.9,178.37 k,753,575.32,1226.9,178.39 k,754,576.81,1226.9,178.45 k,755,578.29,1226.9,178.55 k,761,775.83,1226.9,198.40 k,762,783.03,1226.9,197.84 k,763,790.10,1226.9,196.41 k,764,796.95,1226.9,194.15 k,765,803.49,1226.9,191.09 k,771,1199.7,1290.4,-186.18 k,772,1202.1,1290.4,-190.55 k,773,1204.1,1290.4,-195.11 k,774,1205.7,1290.4,-199.81 k,775,1206.9,1290.4,-204.63 k,781,1050.9,1227.5,15.088 k,782,1054.4,1229.3,12.567 k,783,1057.5,1232.1,10.402 k,784,1059.8,1235.9,8.7405 k,785,1061.3,1240.2,7.6962 k,791,1062.1,1277.0,6.8409 k,792,1063.2,1281.4,5.3777 k,793,1064.8,1285.1,3.0499 k,794,1067.0,1288.0,0.16395E-01 k,795,1069.5,1289.8,-3.5163 k,801,1232.4,1290.5,-409.45 k,802,1232.7,1291.0,-411.75 k,803,1233.0,1291.7,-413.97 k,804,1233.2,1292.8,-416.08 k,805,1233.5,1294.1,-418.02 k,811,1236.0,1309.0,-432.99 k,812,1238.2,1312.1,-435.76 k,813,1241.3,1314.7,-437.97 k,814,1245.3,1316.7,-439.46 k,815,1249.7,1318.0,-440.13


2801


/com,-----------------------------------------------------------------------------------/com, /com, Straight Pipe (Tangent) Elements /com,********************************** mat,1 type,1 secnum,1

! Material ID 1 ! Element Type 1 ! Section 1

l,1,2 l,2,3 l,3,4

! line number 1

l,5,6 l,6,7 l,7,8 l,8,9 l,9,10 l,11,12 l,12,13 l,13,14 l,14,140 l,140,15 l,15,16 l,17,18 l,18,20 l,20,21 l,21,22 l,22,23 l,24,25 l,25,26 l,26,27 l,27,28 l,28,29 l,29,290 l,290,31 l,31,32 l,34,35 l,36,37 l,37,38 l,38,39 l,39,40 l,40,41 l,41,43 l,44,45 l,45,46 l,46,47 l,47,48 l,48,49 l,49,51 l,52,53 l,55,56 l,56,57 l,57,58 l,58,59

! line number 45

lesize,all,,,1 lmesh,all allsel,all

2802


vm-nr1677-02-3c Input Listing /com, /com, Pipe Bend Elements /com,******************** type,2 secnum,1 mat,1 larc,4,702,701, radcur1 larc,702,704,703, radcur1 larc,704,601,705, radcur1 larc,601,712,711, radcur1 larc,712,714,713, radcur1 larc,714,602,715, radcur1 larc,602,722,721, radcur1 larc,722,724,723, radcur1 larc,724,603,725, radcur1 larc,603,732,731, radcur1 larc,732,734,733, radcur1 larc,734,5,735, radcur1 larc,10,742,741, radcur1 larc,742,744,743, radcur1 larc,744,11,745, radcur1 larc,16,752,751, radcur1 larc,752,754,753, radcur1 larc,754,17,755, radcur1 larc,23,762,761, radcur1 larc,762,764,763, radcur1 larc,764,24,765, radcur1 larc,43,772,771, radcur1 larc,772,774,773, radcur1 larc,774,44,775, radcur1

! line number 46

! line number 69



! line number 70

! line number 81


! line number 82

lesize,82,,,1 lmesh,all


2803

NRC Piping Benchmarks Input Listings allsel,all type,6 real,6 l,5,68 l,8,69 l,14,70 l,20,71 l,25,72 l,290,73 l,37,74 l,410,75

! line number 83

! line number 90



n30 = node(105.154,1236.875,102.817)

2804


vm-nr1677-02-3c Input Listing n31 n32 n33 n34 n35 n36 n37

= = = = = = =

node(224.435,1236.875,164.922) node(405.511,1236.875,186.110) node(633.028,1236.875,184.156) node(814.057,1236.875,184.079) node(978.101,1236.875,67.067) node(1081.623,1300.375,-20.48) node(1190.531,1300.375,-172.154)

n,101000,10,1226.875,0 n,102000,0,1236.875,0 n,103000,0,1226.875,10 n,120000,334.171,1226.875,189.421 n,310000,1012.600,1226.875,42.430 n,591000,1345.328,1318.5,-425.693 n,592000,1355.328,1328.5,-425.693 n,593000,1355.328,1318.5,-415.693 n46 = node(0,1226.875,0)

type,5 real,5 n1 = 92 n2 = 66000 n3 = 93 ics = 11 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 72 n2 = 67000 n3 = 70 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 /com, /com, Snubber Elements /com,****************** n1 = 22 n2 = 120000 n3 = 99 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 26 n2 = 61000 n3 = 28


2805


ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 33 n2 = 62000 n3 = 32 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 52 n2 = 63000 n3 = 50 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 n1 = 58 n2 = 310000 n3 = 60 !n3 = 59 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 e,n1,n2 /com, /com, 3D Support at both ends /com,************************* type,5 real,5 e,1,101000 e,99,591000 type,6 real,6 e,1,102000 e,99,592000 type,7 real,7 e,1,103000 e,99,593000 type,8 real,8 e,1,101000 e,99,591000 type,9 real,9

2806


vm-nr1677-02-3c Input Listing e,1,102000 e,99,592000 type,10 real,10 e,1,103000 e,99,593000 /com,-----------------------------------------------------------------------------------/com, /com, Model Rigid Region /com,******************** cerig,72,172,uy /com,-----------------------------------------------------------------------------------/com, /com, Convert some PIPE289 into ELBOW290 using ELBOW command /com, elbow,on,,,sect allsel,all

/com, /com, Constraints /com,************* nsel,s,node,,61000,63000 nsel,a,node,,164 nsel,a,node,,66000,67000,1 nsel,a,node,,165,173,1 nsel,a,node,,101000,103000 nsel,a,node,,120000 nsel,a,node,,310000 nsel,a,node,,591000,593000 d,all,all,0 nsel,all /com,-----------------------------------------------------------------------------------/com, /com, Loads /com,******* /com, Temperature Input /com,******************* bf,all,temp,Temperature esel,r,type,,1 esel,a,type,,2 esel,a,type,,3 /com, Pressure Input /com,**************** sfe,all,1,pres,,Pressue,,, allsel,all,all finish /com,-----------------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com,


2807


/solution antype,modal ! Perform modal solve modopt,lanb,maxm lump,on ! Lumped mass formulation mxpand,maxm,,,yes ! Expand the modes with stress calculation solve save, finish

/post1 /out, /com, ******************************************** /com, Frequencies obtained from modal solution /com, ********************************************* set,list finish /com, /com,================ /com, Spectrum Solve /com,================ /com, /out,scratch /solution sfedele,all,1,pres,,, bfdele,all,temp,,, antype,spectrum spopt,mprs,maxm


srss,,, gval = 386.4 /com,-----------------------------------------------------------------------------------/com, /com, /com, Spectrum 1 (Group 1 - X - Direction Excitation) /com,************************************************* id = 1 spunit, id,accg, gval spfrq,id, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,id,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,id, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6949,1.7825 spval,id,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,id, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,id,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,id, 3.2362,3.3898,3.4965,3.5714,3.6101,3.663,3.7313 spval,id,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,id, 3.8168,3.8911,3.9216,4.218,4.6948,4.7847,5.0505 spval,id,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,id, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,id,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,id, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,id,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,id, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,id,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,id, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,id,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855

2808



spfrq,id, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,id,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,id, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,id,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,id, 1000.0 spval,id,, 0.771 /com, /com, Spectrum 2 (Group 1 - Y - Direction Excitation) /com,************************************************* id = 2 spunit, id,accg, gval spfrq,id, 0.5,1.4993,1.6207,1.9011,2.0704,3.8023,4.2553 spval,id,, 0.35,1.45,1.8,1.8,2.61,2.61,2.78 spfrq,id, 5.1813,5.4054,7.8125,8.1301,9.901,11.5207,14.1044 spval,id,, 2.78,2.58,2.58,3.25,3.25,3.62,3.62 spfrq,id, 14.4928,17.6991,23.9981,59.988 spval,id,, 3.05,3.05,1.20,0.75 /com, /com, Spectrum 3 (Group 1 - Z - Direction Excitation) /com,************************************************* id = 3 spunit, id,accg, gval spfrq,id, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,id,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,id, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6949,1.7825 spval,id,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,id, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,id,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,id, 3.2362,3.3898,3.4965,3.5714,3.6101,3.663,3.7313 spval,id,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,id, 3.8168,3.8911,3.9216,4.218,4.6948,4.7847,5.0505 spval,id,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,id, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,id,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,id, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,id,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,id, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,id,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,id, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,id,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,id, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,id,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,id, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,id,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,id, 1000.0 spval,id,, 0.771 /com,-----------------------------------------------------------------------------------/com,


2809

NRC Piping Benchmarks Input Listings /com, /com, Spectrum 4 (Group 2 - X - Direction Excitation) /com,************************************************* id = 4 spunit, id,accg, gval spfrq,id, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,id,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,id, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6949,1.7825 spval,id,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,id, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,id,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,id, 3.2362,3.3898,3.4965,3.5714,3.6101,3.663,3.7313 spval,id,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,id, 3.8168,3.8911,3.9216,4.218,4.6948,4.7847,5.0505 spval,id,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,id, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,id,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,id, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,id,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,id, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,id,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,id, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,id,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,id, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,id,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,id, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,id,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,id, 1000.0 spval,id,, 0.771 /com, /com, Spectrum 5 (Group 2 - Y - Direction Excitation) /com,************************************************* id = 5 spunit, id,accg, gval spfrq,id, 0.50,1.4556,1.9011,2.0704,2.907,4.065,4.9603 spval,id,, 1.45,1.8,1.8,2.68,2.68,3.17,3.17 spfrq,id, 5.0,7.5988,8.5034,10.9051,11.5207,14.0845,16.0 spval,id,, 3.03,3.03,4.82,4.82,5.95,5.95,4.49 spfrq,id, 19.1205,21.0084,50.0 spval,id,, 4.49,1.85,1.05 /com, /com, Spectrum 6 (Group 2 - Z - Direction Excitation) /com,************************************************* id = 6 spunit, id,accg, gval spfrq,id, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,id,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,id, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6949,1.7825 spval,id,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304

2810


vm-nr1677-02-3c Input Listing spfrq,id, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,id,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,id, 3.2362,3.3898,3.4965,3.5714,3.6101,3.663,3.7313 spval,id,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,id, 3.8168,3.8911,3.9216,4.218,4.6948,4.7847,5.0505 spval,id,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,id, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,id,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,id, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,id,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,id, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,id,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,id, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,id,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,id, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,id,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,id, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,id,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,id, 1000.0 spval,id,, 0.771 /com,-----------------------------------------------------------------------------------/com, /com, /com, Spectrum 7 (Group 3 - X - Direction Excitation) /com,************************************************* id = 7 spunit, id,accg, gval spfrq,id, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,id,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,id, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6949,1.7825 spval,id,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,id, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,id,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,id, 3.2362,3.3898,3.4965,3.5714,3.6101,3.663,3.7313 spval,id,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,id, 3.8168,3.8911,3.9216,4.218,4.6948,4.7847,5.0505 spval,id,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,id, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,id,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,id, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,id,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,id, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,id,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,id, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,id,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,id, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,id,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,id, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,id,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83


2811


spfrq,id, 1000.0 spval,id,, 0.771 /com, /com, Spectrum 8 (Group 3 - Y - Direction Excitation) /com,************************************************* id = 8 spunit, id,accg, gval spfrq,id, 0.5,1.9011,2.0704,3.003,4.0486,4.9505,7.1942 spval,id,, 0.4,1.88,2.72,2.72,3.42,3.42,3.82 spfrq,id, 8.1301,9.5238,10.352,12.6422,13.5135,15.4083,15.7978 spval,id,, 7.21,7.21,8.18,8.18,6.39,6.39,5.92 spfrq,id, 17.6991,21.0084,50.0 spval,id,, 5.92,2.25,1.55 /com, /com, Spectrum 9 (Group 3 - Z - Direction Excitation) /com,************************************************* id = 9 spunit, id,accg, gval spfrq,id, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,id,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,id, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6949,1.7825 spval,id,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,id, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,id,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,id, 3.2362,3.3898,3.4965,3.5714,3.6101,3.663,3.7313 spval,id,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,id, 3.8168,3.8911,3.9216,4.218,4.6948,4.7847,5.0505 spval,id,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,id, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,id,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,id, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,id,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,id, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,id,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,id, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,id,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,id, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,id,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,id, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,id,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,id, 1000.0 spval,id,, 0.771 /com,-----------------------------------------------------------------------------------/com, /com, /com, Spectrum 10 (Group 4 - X - Direction Excitation) /com,************************************************** id = 10 spunit, id,accg, gval

2812



spfrq,id, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,id,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,id, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6949,1.7825 spval,id,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,id, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,id,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,id, 3.2362,3.3898,3.4965,3.5714,3.6101,3.663,3.7313 spval,id,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,id, 3.8168,3.8911,3.9216,4.218,4.6948,4.7847,5.0505 spval,id,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002 spfrq,id, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,id,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,id, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,id,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,id, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,id,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,id, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,id,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,id, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,id,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,id, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,id,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,id, 1000.0 spval,id,, 0.771 /com, /com, Spectrum 11 (Group 4 - Y - Direction Excitation) /com,************************************************** id = 11 spunit, id,accg, gval spfrq,id, 0.5,1.3004,2.0,3.003,4.0486,4.9505,6.993 spval,id,, 0.5,1.4,2.75,2.75,3.5,3.5,4.5 spfrq,id, 8.1301,10.4167,11.4943,14.845,17.5439,22.2222,50.0 spval,id,, 12.1,12.1,10.7,10.7,2.7,1.8,1.5 /com, /com, Spectrum 12 (Group 4 - Z - Direction Excitation) /com,************************************************** id = 12 spunit, id,accg, gval spfrq,id, 1.0,1.0428,1.1025,1.1905,1.2270,1.2739,1.2937 spval,id,, 1.162,1.282,1.399,1.549,1.606,1.676,1.704 spfrq,id, 1.3423,1.3889,1.4104,1.4347,1.5552,1.6949,1.7825 spval,id,, 1.774,1.839,1.869,1.904,2.084,2.246,2.304 spfrq,id, 1.9305,2.0747,2.2779,2.4752,2.6042,2.6596,2.9499 spval,id,, 2.382,2.479,2.592,2.644,2.64,2.639,2.782 spfrq,id, 3.2362,3.3898,3.4965,3.5714,3.6101,3.663,3.7313 spval,id,, 2.951,3.066,3.215,3.384,3.532,3.766,4.189 spfrq,id, 3.8168,3.8911,3.9216,4.218,4.6948,4.7847,5.0505 spval,id,, 4.793,5.189,5.224,5.232,5.227,5.152,3.002


2813

NRC Piping Benchmarks Input Listings spfrq,id, 5.0761,5.3476,5.7471,5.9524,5.9880,6.6225,7.4627 spval,id,, 2.923,2.90,2.873,2.849,2.844,2.761,2.667 spfrq,id, 7.8125,7.874,7.9365,8.3333,8.9286,9.5238,9.6154 spval,id,, 2.635,2.685,2.755,2.087,2.797,2.744,2.674 spfrq,id, 9.7087,10.4167,10.8696,11.6279,11.7647,12.1951,12.50 spval,id,, 2.627,2.781,2.931,3.077,3.112,3.134,3.134 spfrq,id, 12.8205,13.1579,13.3333,13.4953,13.5135,13.8889,14.2857 spval,id,, 3.116,2.975,2.687,2.56,2.399,2.064,1.855 spfrq,id, 15.3846,15.625,17.8571,18.8679,22.7273,23.8095,24.3902 spval,id,, 1.524,1.512,1.472,1.335,1.09,1.073,1.07 spfrq,id, 25.641,26.3158,27.027,27.7778,28.5714,40.0,76.9231 spval,id,, 1.049,1.004,0.9823,0.9669,0.956,0.893,0.83 spfrq,id, 1000.0 spval,id,, 0.771 /com,-----------------------------------------------------------------------------------/com, /com, /com, Nodal Components for Excitation Points (non rotated) /com,****************************************************** allsel,all,all nsel,s,node,,165 nsel,a,node,,61000 nsel,a,node,,168 nsel,a,node,,63000 nsel,a,node,,170 nsel,a,node,,310000 nsel,a,node,,591000,593000 cm,group_1,node allsel,all,all nsel,s,node,,167 nsel,a,node,,120000 nsel,a,node,,62000 nsel,a,node,,67000 nsel,a,node,,173 nsel,a,node,,164 cm,group_2,node allsel,all,all nsel,s,node,,166 nsel,a,node,,169 nsel,a,node,,171 cm,group_3,node allsel,all,all nsel,s,node,,101000,103000 nsel,a,node,,66000 cm,group_4,node allsel,all,all eplo /com, /com, ***************************************************** ! -- Support Group 1 - spectrum 1 (Along X - Direction) sed,1,,,group_1 pfact,1 sed,0,,,group_1 ! -- Support Group 1 - spectrum 2 (Along Y - Direction)

2814


vm-nr1677-02-3c Input Listing sed,,1,,group_1 pfact,2 sed,,0,,group_1 ! -- Support Group 1 - spectrum 3 (Along Z - Direction) sed,,,1,group_1 pfact,3 sed,,,0,group_1 ! -- Support Group 2 - spectrum 4 (Along X - Direction) sed,1,,,group_2 pfact,4 sed,0,,,group_2 ! -- Support Group 2 - spectrum 5 (Along Y - Direction) sed,,1,,group_2 pfact,5 sed,,0,,group_2 ! -- Support Group 2 - spectrum 6 (Along Z - Direction) sed,,,1,group_2 pfact,6 sed,,,0,group_2

! -- Support Group 3 - spectrum 8 (Along Y - Direction) sed,,1,,group_3 pfact,8 sed,,0,,group_3

! -- Support Group 4 - spectrum 10 (Along X - Direction) sed,1,,,group_4 pfact,10 sed,0,,,group_4 ! -- Support Group 4 - spectrum 11 (Along Y - Direction) sed,,1,,group_4 pfact,11 sed,,0,,group_4 ! -- Support Group 4 - spectrum 12 (Along Z - Direction) sed,,,1,group_4 pfact,12 sed,,,0,group_4

srss,0,,YES

! activate Absolute Sum for MPRS

solve fini /com, ***************************************************** /post1 /input,,mcom /out, /com, /com,=============================================================== /com, Maximum nodal displacements and rotations from spectrum solution /com,=============================================================== /com,


2815

NRC Piping Benchmarks Input Listings /out,scratch *GET,AdisX,NODE,63,U,X *GET,AdisY,NODE,87,U,Y *GET,AdisZ,NODE,63,U,Z *GET,ArotX,NODE,58,ROT,X *GET,ArotY,NODE,52,ROT,Y *GET,ArotZ,NODE,61,ROT,Z /out, *stat,AdisX *stat,AdisY *stat,AdisZ *stat,ArotX *stat,ArotY *stat,ArotZ /com,============================================================== /com, Element Forces and Moments obtained from spectrum solution /com,============================================================== /out,scratch /com,========== /com, Node I /com,========== /com, Element #1 (Pipe289 element) /com,************************



2816



/out,scratch






2817


vm-nr6645-01-1a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr6645-01-1a /title,vm-nr6645-01-1a,NRC Piping Benchmark Problems,Volume 1,Method 1 /com,**************************************************************************** /com, /com, Reference: Reevaluation of Regulatory Guidance /com, on modal response combination methods /com, for seismic response spectrum analysis /com, NUREG/CR-6645 /com, R.Morante, Y.Wang /com, December 1999. /com, /com, Description: /com, Response spectrum analysis on BM3 piping model using 14 modes + missing mass /com, /com, /com, Elements used: PIPE289, ELBOW290, COMBIN14 /com, /com, Results : /com, The following results are outputted /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum displacements and rotations obtained from spectrum solution /com, 3. Element forces and moments obtained from spectrum solution /com, 4. Reaction forces obtained from spectrum solution. SRSS, 1% damping /com, /com, /com,**************************************************************************** /out,scratch /prep7 youngmodulus = 2.9e+7 ! Young's modulus nu = 0.3 ! Poisson ratio shearmodulus = youngmodulus/(2*(1+nu)) ! Shear modulus et,1,pipe289,,, sectype,1,pipe secdata,3.5,0.216,24 mp,ex,1,youngmodulus mp,nuxy,1,nu mp,gxy,1,shearmodulus mp,dens,1,1.043e-3


et,2,pipe289,,, sectype,2,pipe secdata,4.5,0.237,24 mp,ex,2,youngmodulus mp,nuxy,2,nu mp,gxy,2,shearmodulus mp,dens,2,1.107e-03




et,4,elbow290,,6

2818


vm-nr6645-01-1a Input Listing sectype,4,pipe secdata,3.5,0.216,24 mp,ex,4,youngmodulus mp,nuxy,4,nu mp,gxy,4,shearmodulus mp,dens,4,1.043e-3


et,5,elbow290,,6 sectype,5,pipe secdata,4.5,0.237,24 mp,ex,5,youngmodulus mp,nuxy,5,nu mp,gxy,5,shearmodulus mp,dens,5,1.107e-3
















/com, ******************** /com, Key points /com, ********************

k, k, k, k, k, k, k, k, k, k, k, k, k, k,

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14,

15.000, 19.500, 19.500, 19.500, 19.500, 19.500, 24.000, 96.000, 254.000, 333.000, 411.000, 483.000, 487.500,

-4.500 -180.000 -199.500 -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000,

4.500 139.500 144.000 144.000 144.000 144.000 144.000 144.000 148.500


2819

NRC Piping Benchmarks Input Listings k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k,

15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38,

487.500, 487.500, 492.000, 575.000, 723.000, 727.500, 727.500, 727.500, 727.500, 733.500, 753.500, 845.500, 851.500, 851.500, 851.500, 851.500, 851.500, 727.500, 727.500, 727.500, 727.500, 739.500, 847.500, 955.500,

-204.000, -204.000, -204.000, -204.000, -204.000, -208.500, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -270.000, -360.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000,

192.000 235.500 240.000 240.000 240.000 240.000 240.000 205.000 190.000 184.000 184.000 184.000 178.000 160.000 142.000 136.000 136.000 255.000 270.000 306.000 414.000 426.000 426.000 426.000

k,101,16.165,-0.15333,0 k,102,17.25,-0.60289,0 k,103,18.182,-1.318,0 k,104,18.897,-2.25,0 k,105,19.347,-3.3353,0 k,501,19.5,-200.66,0.15333 k,502,19.5,-201.75,0.60289 k,503,19.5,-202.68,1.318 k,504,19.5,-203.4,2.25 k,505,19.5,-203.85,3.3353 k,701,19.653,-204,140.66 k,702,20.103,-204,141.75 k,703,20.818,-204,142.68 k,704,21.75,-204,143.4 k,705,22.835,-204,143.85 k,131,484.16,-204,144.15 k,132,485.25,-204,144.6 k,133,486.18,-204,145.32 k,134,486.9,-204,146.25 k,135,487.35,-204,147.34 k,161,487.65,-204,236.66 k,162,488.1,-204,237.75 k,163,488.82,-204,238.68 k,164,489.75,-204,239.4 k,165,490.84,-204,239.85 k,191,724.16,-204.15,240 k,192,725.25,-204.6,240 k,193,726.18,-205.32,240 k,194,726.9,-206.25,240 k,195,727.35,-207.34,240 k,231,727.7,-264,188.45 k,232,728.3,-264,187 k,233,729.26,-264,185.76 k,234,730.5,-264,184.8 k,235,731.95,-264,184.2 k,261,847.05,-264,183.8 k,262,848.5,-264,183.2 k,263,849.74,-264,182.24 k,264,850.7,-264,181 k,265,851.3,-264,179.55 k,291,851.5,-264.204,140.4471 k,292,851.5,-264.804,139 k,293,851.5,-265.757,137.7574 k,294,851.5,-267,136.8038 k,295,851.5,-268.447,136.2044

2820


vm-nr6645-01-1a Input Listing k,351,727.91,-264,417.11 k,352,729.11,-264,420 k,353,731.01,-264,422.49 k,354,733.5,-264,424.39 k,355,736.39,-264,425.59 /com, ************************* /com, Straight pipe elements /com, ************************* type,1 secnum,1 mat,1 l, 1, 2 l, 3, 4 l, 4, 5 l, 6, 7 l, 8, 9 l, 9,10 l,10,11 l,11,12 l,12,13 l,14,15 l,15,16 l,17,18 l,18,19 l,20,21 lsel,s,line,,1,14,1 lesize,all,,,4 lmesh,all allsel,all

! line number 1

! line number 14

type,2 secnum,2 mat,2 l,21,22 l,22,23 l,24,25 l,25,26 l,27,28 l,28,29 l,30,31 lsel,s,line,,15,21,1 lesize,all,,,4 lmesh,all allsel,all

! line number 15

! line number 21

type,3 secnum,3 mat,3 l,21,32 l,32,33 l,33,34 l,34,35 l,36,37 l,37,38

! line number 22

! line number 27

lsel,s,line,,22,27,1 lesize,all,,,4 lmesh,all allsel,all /com, ******************** /com, Curved pipe elements /com, ********************* type,4 secnum,1 mat,4


2821


larc,2,102,101 larc,102,104,103 larc,104,3,105 larc,5,502,501 larc,502,504,503 larc,504,6,505 larc,7,702,701 larc,702,704,703 larc,704,8,705 larc,13,132,131 larc,132,134,133 larc,134,14,135 larc,16,162,161 larc,162,164,163 larc,164,17,165 larc,19,192,191 larc,192,194,193 larc,194,20,195

! line number 28

! line number 45


type,5 secnum,2 mat,5 larc,23,232,231 larc,232,234,233 larc,234,24,235 larc,26,262,261 larc,262,264,263 larc,264,27,265 larc,29,292,291 larc,292,294,293 larc,294,30,295

! line number 46

! line number 54

lsel,s,line,,46,54,1 lesize,all,,,4 lmesh,all allsel,all type,6 secnum,3 mat,6 larc,35,352,351 larc,352,354,353 larc,354,36,355

! line number 55 ! line number 57


/com, *************************** /com, nodes for elastic support /com, **************************** dist = 50.0 n,10001, n,20001, n,30001, n,10004, n,30004, n,20007,

2822


, dist , , -dist 19.500+dist, -180.000 19.500 , -180.000 , -dist 19.500 , -204.000+dist, 139.500


vm-nr6645-01-1a Input Listing n,20011, n,30011, n,10015, n,20017, n,30017, n,10023, n,20023, n,10031, n,20031, n,30031, n,20036, n,30036, n,10038, n,20038, n,30038,

333.000 , 333.000 , 487.500-dist, 492.000 , 492.000 , 727.500-dist, 727.500 , 851.500+dist, 851.500 , 851.500 , 739.500 , 739.500 , 955.500+dist, 955.500 , 955.500 ,

-204.000+dist, -204.000 , -204.000 , -204.000-dist, -204.000 , -264.000 , -264.000+dist, -360.000 , -360.000-dist, -360.000 , -264.000-dist, -264.000 , -264.000 , -264.000-dist, -264.000 ,

144.000 144.000-dist 192.000 240.000 240.000-dist 190.000 190.000 136.000 136.000 136.000-dist 426.000 426.000-dist 426.000 426.000 426.000-dist

/com, **************************** /com, Elastic supports and anchors /com, **************************** type,7 real,8 e, node(19.5,-180.00,0),10004 real,7 e,node(487.50,-204.00,192.00),10015 e,node(727.50,-264.00,190.00),10023 real,9 e, node(0,0,0),10001 e,node(851.50,-360.00,136.00),10031 e,node(955.50,-264.00,426.00),10038 type,8 real,8 e, node(19.50,-204.00,139.50),20007 e,node(333.00,-204.00,144.00),20011 e,node(492.00,-204.00,240.00),20017 e,node(727.50,-264.00,190.00),20023 e,node(739.50,-264.00,426.00),20036 real,9 e, node(0,0,0),20001 e,node(851.50,-360.00,136.00),20031 e,node(955.500,-264.000,426.000),20038 type,9 real,8 e, node(19.50,-180.00,0),30004 real,7 e,node(333.00,-204.00,144.00),30011 e,node(492.00,-204.00,240.00),30017 e,node(739.500,-264.00,426.00),30036 real,9 e, node(0,0,0),30001 e,node(851.500,-360.00,136.00),30031 e,node(955.500,-264.000,426.000),30038 type,10 real,10 e, node(0,0,0),10001 e,node(851.500,-360.000,136.000),10031 e,node(955.500,-264.000,426.000),10038 type,11 real,10 e, node(0,0,0),20001 e,node(851.500,-360.000,136.000),20031


2823

NRC Piping Benchmarks Input Listings e,node(955.500,-264.000,426.000),20038 type,12 real,10 e, node(0,0,0),30001 e,node(851.50,-360.00,136.00),30031 e,node(955.50,-264.00,426.00),30038 allsel,all /com, ************************************************************ /com, Converting some PIPE289 into ELBOW290 using ELBOW command /com, near the pipe bends /com, ************************************************************ elbow,on,,,sect allsel,all /com, *************** /com, Constraints /com, *************** nsel,s,node,,10000,40000 d,all,all,0 allsel,all fini /com, **************** /com, Modal analysis /com, **************** /solu antype,modal modopt,lanb,14 lumpm,on mxpand,14,,,yes solve fini /post1 /out, /com, ****************************************** /com, Frequencies obtained from modal solution /com, ****************************************** set,list finish /com, ********************** /com, Spectrum analysis /com, ********************** /out,scratch /solu antype,spectrum spopt,sprs,, svtype,2,386.4 srss,0.001,disp sed,1,0,0



freq , 0.20, 0.30, 0.40, 0.50, 0.60, 0.70, 0.80, 0.90, 1.00 sv, 0.01, 0.06, 0.13, 0.13, 0.20, 0.35, 0.39, 0.37, 0.41, 0.76 freq , 1.10, 1.20, 1.30, 1.40, 1.50, 1.60, 1.70, 1.80, 1.90 sv, 0.01, 0.64, 0.59, 0.91, 1.03, 1.46, 0.95, 0.91, 1.61, 1.92 freq , 2.00, 2.10, 2.20, 2.30, 2.40, 2.50, 2.60, 2.70, 2.80 sv, 0.01, 1.57, 1.18, 2.65, 2.85, 3.26, 4.47, 4.75, 5.29, 7.44 freq , 2.90, 3.00, 3.15, 3.30, 3.45, 3.60, 3.80, 4.00, 4.20 sv, 0.01, 4.27, 4.61, 4.13, 3.96, 4.05, 2.44, 2.09, 2.29, 1.52

2824



freq , 4.40, 4.60, 4.80, 5.00, 5.25, 5.50, 5.75, 6.00, 6.25 sv, 0.01, 1.34, 1.37, 1.36, 1.31, 1.69, 1.27, 1.04, 0.76, 0.76 freq , 6.50, 6.75, 7.00, 7.25, 7.50, 7.75, 8.00, 8.50, 9.00 sv, 0.01, 0.69, 0.70, 0.74, 0.70, 0.67, 0.66, 0.61, 0.75, 0.60 freq , 9.50,10.00,10.50,11.00,11.50,12.00,12.50,13.00,13.50 sv, 0.01, 0.69, 0.61, 0.70, 0.59, 0.61, 0.56, 0.59, 0.59, 0.59 freq ,14.00,14.50,15.00,16.00,17.00,18.00,20.00,22.00,25.00 sv, 0.01, 0.58, 0.59, 0.58, 0.55, 0.56, 0.55, 0.55, 0.55, 0.54 freq ,28.00,31.00,34.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 sv, 0.01, 0.54, 0.54, 0.54, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00

mmass,on,0.54 solve save finish

! Missing mass with ZPA = 0.54

/post1 /input,,mcom /out, /com, /com,=============================================================== /com, Maximum nodal displacements and rotations from spectrum solution /com,=============================================================== /com, /out,scratch *GET,AdisX,NODE,279,U,X *GET,AdisY,NODE,105,U,Y *GET,AdisZ,NODE,50,U,Z *GET,ArotX,NODE,78,ROT,X *GET,ArotY,NODE,82,ROT,Y *GET,ArotZ,NODE,113,ROT,Z /out, *stat,AdisX *stat,AdisY *stat,AdisZ *stat,ArotX *stat,ArotY *stat,ArotZ /com,============================================================== /com, Element Forces and Moments obtained from spectrum solution /com,============================================================== /out,scratch /com,========== /com, Node I /com,========== /com, Element #1 (Pipe289 element) /com,************************

esel,s,elem,,1 etable,pxi_1,smisc,1 etable,vyi_1,smisc,6 etable,vzi_1,smisc,5 etable,txi_1,smisc,4 etable,myi_1,smisc,2 etable,mzi_1,smisc,3 esel,all


2825


/out, /com, ************************************************ /com, Element forces and moments at element1, node i /com, ************************************************ pretab,pxi_1,vyi_1,vzi_1,txi_1,myi_1,mzi_1


/out,scratch



/com, Element #28 (Elbow290 element) /com,******************************** esel,s,elem,,28

2826



etable,pxj_28,smisc,36 etable,vyj_28,smisc,41 etable,vzj_28,smisc,40 etable,txj_28,smisc,39 etable,myj_28,smisc,37 etable,mzj_28,smisc,38 esel,all allsel,all /out, /com, ********************************************** /com, Element forces and moments at element 28, node j /com, ************************************************ pretab,pxj_28,vyj_28,vzj_28,txj_28,myj_28,mzj_28


vm-nr6645-01-2a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr6645-01-2a /title,vm-nr6645-01-2a,NRC Piping Benchmark Problems,Volume 1,Method 2 /com,**************************************************************************** /com, /com, Reference: Reevaluation of Regulatory Guidance /com, on modal response combination methods /com, for seismic response spectrum analysis /com, NUREG/CR-6645 /com, R.Morante, Y.Wang /com, December 1999. /com, /com, Description: /com, Response spectrum analysis on BM3 piping model using 14 modes + missing mass /com, /com, Lindley Yow rigid resonse calculation /com, /com, Elements used: PIPE289, ELBOW290, COMBIN14 /com, /com, Results : /com, The following results are outputted /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum displacements and rotations obtained from spectrum solution /com, 3. Element forces and moments obtained from spectrum solution /com, 4. Reaction forces obtained from spectrum solution. SRSS, 1% damping /com, /com, /com,**************************************************************************** /out,scratch /prep7 youngmodulus = 2.9e+7 ! Young's modulus nu = 0.3 ! Poisson ratio shearmodulus = youngmodulus/(2*(1+nu)) ! Shear modulus


2827

NRC Piping Benchmarks Input Listings et,1,pipe289,,, sectype,1,pipe secdata,3.5,0.216,24 mp,ex,1,youngmodulus mp,nuxy,1,nu mp,gxy,1,shearmodulus mp,dens,1,1.043e-3


















2828


vm-nr6645-01-2a Input Listing et,10,combin14 keyopt,10,2,4 r,10,1.0e+20






/com, ******************** /com, Key points /com, ********************

k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k, k,

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38,

15.000, 19.500, 19.500, 19.500, 19.500, 19.500, 24.000, 96.000, 254.000, 333.000, 411.000, 483.000, 487.500, 487.500, 487.500, 492.000, 575.000, 723.000, 727.500, 727.500, 727.500, 727.500, 733.500, 753.500, 845.500, 851.500, 851.500, 851.500, 851.500, 851.500, 727.500, 727.500, 727.500, 727.500, 739.500, 847.500, 955.500,

-4.500 -180.000 -199.500 -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -204.000, -208.500, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -270.000, -360.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000, -264.000,

4.500 139.500 144.000 144.000 144.000 144.000 144.000 144.000 148.500 192.000 235.500 240.000 240.000 240.000 240.000 240.000 205.000 190.000 184.000 184.000 184.000 178.000 160.000 142.000 136.000 136.000 255.000 270.000 306.000 414.000 426.000 426.000 426.000

k,101,16.165,-0.15333,0 k,102,17.25,-0.60289,0 k,103,18.182,-1.318,0 k,104,18.897,-2.25,0 k,105,19.347,-3.3353,0 k,501,19.5,-200.66,0.15333 k,502,19.5,-201.75,0.60289 k,503,19.5,-202.68,1.318 k,504,19.5,-203.4,2.25 k,505,19.5,-203.85,3.3353 k,701,19.653,-204,140.66 k,702,20.103,-204,141.75 k,703,20.818,-204,142.68 k,704,21.75,-204,143.4 k,705,22.835,-204,143.85


2829

NRC Piping Benchmarks Input Listings k,131,484.16,-204,144.15 k,132,485.25,-204,144.6 k,133,486.18,-204,145.32 k,134,486.9,-204,146.25 k,135,487.35,-204,147.34 k,161,487.65,-204,236.66 k,162,488.1,-204,237.75 k,163,488.82,-204,238.68 k,164,489.75,-204,239.4 k,165,490.84,-204,239.85 k,191,724.16,-204.15,240 k,192,725.25,-204.6,240 k,193,726.18,-205.32,240 k,194,726.9,-206.25,240 k,195,727.35,-207.34,240 k,231,727.7,-264,188.45 k,232,728.3,-264,187 k,233,729.26,-264,185.76 k,234,730.5,-264,184.8 k,235,731.95,-264,184.2 k,261,847.05,-264,183.8 k,262,848.5,-264,183.2 k,263,849.74,-264,182.24 k,264,850.7,-264,181 k,265,851.3,-264,179.55 k,291,851.5,-264.204,140.4471 k,292,851.5,-264.804,139 k,293,851.5,-265.757,137.7574 k,294,851.5,-267,136.8038 k,295,851.5,-268.447,136.2044 k,351,727.91,-264,417.11 k,352,729.11,-264,420 k,353,731.01,-264,422.49 k,354,733.5,-264,424.39 k,355,736.39,-264,425.59 /com, ************************* /com, Straight pipe elements /com, ************************* type,1 secnum,1 mat,1 l, 1, 2 l, 3, 4 l, 4, 5 l, 6, 7 l, 8, 9 l, 9,10 l,10,11 l,11,12 l,12,13 l,14,15 l,15,16 l,17,18 l,18,19 l,20,21 lsel,s,line,,1,14,1 lesize,all,,,4 lmesh,all allsel,all

! line number 1

! line number 14

type,2 secnum,2 mat,2 l,21,22 l,22,23 l,24,25

2830

! line number 15


vm-nr6645-01-2a Input Listing l,25,26 l,27,28 l,28,29 l,30,31 lsel,s,line,,15,21,1 lesize,all,,,4 lmesh,all allsel,all

! line number 21

type,3 secnum,3 mat,3 l,21,32 l,32,33 l,33,34 l,34,35 l,36,37 l,37,38

! line number 22

! line number 27

lsel,s,line,,22,27,1 lesize,all,,,4 lmesh,all allsel,all /com, ******************** /com, Curved pipe elements /com, ********************* type,4 secnum,1 mat,4 larc,2,102,101 larc,102,104,103 larc,104,3,105 larc,5,502,501 larc,502,504,503 larc,504,6,505 larc,7,702,701 larc,702,704,703 larc,704,8,705 larc,13,132,131 larc,132,134,133 larc,134,14,135 larc,16,162,161 larc,162,164,163 larc,164,17,165 larc,19,192,191 larc,192,194,193 larc,194,20,195

! line number 28

! line number 45


type,5 secnum,2 mat,5 larc,23,232,231 larc,232,234,233 larc,234,24,235 larc,26,262,261 larc,262,264,263 larc,264,27,265 larc,29,292,291 larc,292,294,293 larc,294,30,295

! line number 46

! line number 54


2831

NRC Piping Benchmarks Input Listings lsel,s,line,,46,54,1 lesize,all,,,4 lmesh,all allsel,all type,6 secnum,3 mat,6 larc,35,352,351 larc,352,354,353 larc,354,36,355

! line number 55 ! line number 57


/com, *************************** /com, nodes for elastic support /com, **************************** dist = 50.0 n,10001, n,20001, n,30001, n,10004, n,30004, n,20007, n,20011, n,30011, n,10015, n,20017, n,30017, n,10023, n,20023, n,10031, n,20031, n,30031, n,20036, n,30036, n,10038, n,20038, n,30038,


, , 19.500+dist, 19.500 , 19.500 , 333.000 , 333.000 , 487.500-dist, 492.000 , 492.000 , 727.500-dist, 727.500 , 851.500+dist, 851.500 , 851.500 , 739.500 , 739.500 , 955.500+dist, 955.500 , 955.500 ,

dist , -180.000 -180.000 , -204.000+dist, -204.000+dist, -204.000 , -204.000 , -204.000-dist, -204.000 , -264.000 , -264.000+dist, -360.000 , -360.000-dist, -360.000 , -264.000-dist, -264.000 , -264.000 , -264.000-dist, -264.000 ,

-dist -dist 139.500 144.000 144.000-dist 192.000 240.000 240.000-dist 190.000 190.000 136.000 136.000 136.000-dist 426.000 426.000-dist 426.000 426.000 426.000-dist

/com, **************************** /com, Elastic supports and anchors /com, **************************** type,7 real,8 e, node(19.5,-180.00,0),10004 real,7 e,node(487.50,-204.00,192.00),10015 e,node(727.50,-264.00,190.00),10023 real,9 e, node(0,0,0),10001 e,node(851.50,-360.00,136.00),10031 e,node(955.50,-264.00,426.00),10038 type,8 real,8 e, node(19.50,-204.00,139.50),20007 e,node(333.00,-204.00,144.00),20011 e,node(492.00,-204.00,240.00),20017 e,node(727.50,-264.00,190.00),20023

2832


vm-nr6645-01-2a Input Listing e,node(739.50,-264.00,426.00),20036 real,9 e, node(0,0,0),20001 e,node(851.50,-360.00,136.00),20031 e,node(955.500,-264.000,426.000),20038 type,9 real,8 e, node(19.50,-180.00,0),30004 real,7 e,node(333.00,-204.00,144.00),30011 e,node(492.00,-204.00,240.00),30017 e,node(739.500,-264.00,426.00),30036 real,9 e, node(0,0,0),30001 e,node(851.500,-360.00,136.00),30031 e,node(955.500,-264.000,426.000),30038 type,10 real,10 e, node(0,0,0),10001 e,node(851.500,-360.000,136.000),10031 e,node(955.500,-264.000,426.000),10038 type,11 real,10 e, node(0,0,0),20001 e,node(851.500,-360.000,136.000),20031 e,node(955.500,-264.000,426.000),20038 type,12 real,10 e, node(0,0,0),30001 e,node(851.50,-360.00,136.00),30031 e,node(955.50,-264.00,426.00),30038 allsel,all /com, ************************************************************ /com, Converting some PIPE289 into ELBOW290 using ELBOW command /com, near the pipe bends /com, ************************************************************ elbow,on,,,sect allsel,all /com, *************** /com, Constraints /com, *************** nsel,s,node,,10000,40000 d,all,all,0 allsel,all fini /com, **************** /com, Modal analysis /com, **************** /solu antype,modal modopt,lanb,14 lumpm,on mxpand,14,,,yes solve fini


2833

NRC Piping Benchmarks Input Listings /post1 /out, /com, ****************************************** /com, Frequencies obtained from modal solution /com, ****************************************** set,list finish /com, ********************** /com, Spectrum analysis /com, ********************** /out,scratch /solu antype,spectrum spopt,sprs,, svtype,2,386.4 srss,0.001,disp sed,1,0,0



freq , 0.20, 0.30, 0.40, 0.50, 0.60, 0.70, 0.80, 0.90, 1.00 sv, 0.01, 0.06, 0.13, 0.13, 0.20, 0.35, 0.39, 0.37, 0.41, 0.76 freq , 1.10, 1.20, 1.30, 1.40, 1.50, 1.60, 1.70, 1.80, 1.90 sv, 0.01, 0.64, 0.59, 0.91, 1.03, 1.46, 0.95, 0.91, 1.61, 1.92 freq , 2.00, 2.10, 2.20, 2.30, 2.40, 2.50, 2.60, 2.70, 2.80 sv, 0.01, 1.57, 1.18, 2.65, 2.85, 3.26, 4.47, 4.75, 5.29, 7.44 freq , 2.90, 3.00, 3.15, 3.30, 3.45, 3.60, 3.80, 4.00, 4.20 sv, 0.01, 4.27, 4.61, 4.13, 3.96, 4.05, 2.44, 2.09, 2.29, 1.52 freq , 4.40, 4.60, 4.80, 5.00, 5.25, 5.50, 5.75, 6.00, 6.25 sv, 0.01, 1.34, 1.37, 1.36, 1.31, 1.69, 1.27, 1.04, 0.76, 0.76 freq , 6.50, 6.75, 7.00, 7.25, 7.50, 7.75, 8.00, 8.50, 9.00 sv, 0.01, 0.69, 0.70, 0.74, 0.70, 0.67, 0.66, 0.61, 0.75, 0.60 freq , 9.50,10.00,10.50,11.00,11.50,12.00,12.50,13.00,13.50 sv, 0.01, 0.69, 0.61, 0.70, 0.59, 0.61, 0.56, 0.59, 0.59, 0.59 freq ,14.00,14.50,15.00,16.00,17.00,18.00,20.00,22.00,25.00 sv, 0.01, 0.58, 0.59, 0.58, 0.55, 0.56, 0.55, 0.55, 0.55, 0.54 freq ,28.00,31.00,34.00, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00 sv, 0.01, 0.54, 0.54, 0.54, 0.00, 0.00, 0.00, 0.00, 0.00, 0.00

mmass,on,0.54 ! Missing mass with ZPA = 0.54 rigresp,on,lindley,0.54 ! Rigid response using Lindley approach solve save fini

/post1 /input,,mcom /out, /com, /com,=============================================================== /com, Maximum nodal displacements and rotations from spectrum solution /com,=============================================================== /com, /out,scratch *GET,AdisX,NODE,274,U,X *GET,AdisY,NODE,105,U,Y *GET,AdisZ,NODE,50,U,Z

2834


vm-nr6645-01-2a Input Listing *GET,ArotX,NODE,78,ROT,X *GET,ArotY,NODE,81,ROT,Y *GET,ArotZ,NODE,113,ROT,Z /out, *stat,AdisX *stat,AdisY *stat,AdisZ *stat,ArotX *stat,ArotY *stat,ArotZ /com,============================================================== /com, Element Forces and Moments obtained from spectrum solution /com,============================================================== /out,scratch /com,========== /com, Node I /com,========== /com, Element #1 (Pipe289 element) /com,************************



/out,scratch


2835

NRC Piping Benchmarks Input Listings /com,========== /com, Node I /com,========== /com, Element #28 (Elbow 290 element) /com,************************* esel,s,elem,,28 etable,pxi_28,smisc,1 etable,vyi_28,smisc,6 etable,vzi_28,smisc,5 etable,txi_28,smisc,4 etable,myi_28,smisc,2 etable,mzi_28,smisc,3 esel,all /out, /com, ************************************************* /com, Element forces and moments at element 28, node i /com, ************************************************ pretab,pxi_28,vyi_28,vzi_28,txi_28,myi_28,mzi_28




vm-nr1677-02-4a Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-02-4a

2836


vm-nr1677-02-4a Input Listing /title,vm-nr1677-02-4a,NRC piping benchmarks problems,Volume II,Problem 4a /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com, /com,


Elements used: PIPE289, ELBOW290, MASS21 and COMBIN14 Results : The following results are outputted: 1. Frequencies obtained from modal solution. 2. Maximum nodal displacements and rotations obtained from spectrum solution. 3. Element forces/moments obtained from spectrum solution. 4. Reaction forces obtained from spectrum solution. *******************************************************************************


= = = = =

2.25 3.44 1.0 2.64 74.775


= = = = =

32.25 15.625 10.75 16.03 160.3

OD_6 = 10.75 OD_7 = 16.03 OD_8 = 6.625 OD_9 = 9.87 OD_10 = 98.7 OD_11 = 6.625 OD_12 = 8.625 OD_13 = 10.75


2837


/com,----------------------------------------------------------------------------------/com, /com, Element Types /com,*************** et,1,pipe289,,, et,2,pipe289,,, et,3,pipe289,,, et,4,pipe289,,, et,5,pipe289,,, et,6,pipe289,,, et,7,pipe289,,, et,8,pipe289,,, et,9,pipe289,,, et,10,pipe289,,, et,11,pipe289,,, et,12,pipe289,,, et,13,pipe289,,, et,14,elbow290,, et,15,elbow290,, et,16,elbow290,, et,17,elbow290,, et,18,elbow290,, et,19,elbow290,, et,20,elbow290,, et,21,elbow290,, et,22,elbow290,, et,23,mass21 keyopt,23,3,2


et,24,mass21 keyopt,24,3,2 et,25,mass21 keyopt,25,3,2 et,26,mass21 keyopt,26,3,2 et,27,mass21 keyopt,27,3,2 et,28,mass21 keyopt,28,3,2 et,29,mass21 keyopt,29,3,2 et,30,mass21 keyopt,30,3,2 et,31,mass21 keyopt,31,3,2 et,32,mass21 keyopt,32,3,2 et,33,mass21 keyopt,33,3,2 et,34,mass21 keyopt,34,3,2 et,35,mass21 keyopt,35,3,2 et,36,mass21

2838


vm-nr1677-02-4a Input Listing keyopt,36,3,2 et,37,mass21 keyopt,37,3,2 et,38,mass21 keyopt,38,3,2 et,39,mass21 keyopt,39,3,2 et,40,mass21 keyopt,40,3,2 et,41,mass21 keyopt,41,3,2 et,42,mass21 keyopt,42,3,2 et,43,mass21 keyopt,43,3,2 et,44,mass21 keyopt,44,3,2 et,45,mass21 keyopt,45,3,2 et,46,mass21 keyopt,46,3,2 et,47,mass21 keyopt,47,3,2 et,48,combin14,,1 keyopt,48,2,1

! Spring Elements Types and Real constants ! X Degree of Freedom

et,49,combin14,,2 keyopt,49,2,2

! Y Degree of Freedom


! Z Degree of Freedom








! X Degree of Freedom











et,60,combin14,,2


2839

NRC Piping Benchmarks Input Listings keyopt,60,2,2
















































/com,----------------------------------------------------------------------------------

2840


vm-nr1677-02-4a Input Listing /com /com, Real Constants /com,**************** sectype,1,pipe secdata,OD_1,WTick_1, sectype,2,pipe secdata,OD_2,WTick_2, sectype,3,pipe secdata,OD_3,WTick_3, sectype,4,pipe secdata,OD_4,WTick_4, sectype,5,pipe secdata,OD_5,WTick_5, sectype,6,pipe secdata,OD_6,WTick_6, sectype,7,pipe secdata,OD_7,WTick_7, sectype,8,pipe secdata,OD_8,WTick_8, sectype,9,pipe secdata,OD_9,WTick_9, sectype,10,pipe secdata,OD_10,WTick_10, sectype,11,pipe secdata,OD_11,WTick_11, sectype,12,pipe secdata,OD_12,WTick_12, sectype,13,pipe secdata,OD_13,WTick_13, sectype,14,pipe secdata,OD_3,WTick_3, sectype,15,pipe secdata,OD_6,WTick_6, sectype,16,pipe secdata,OD_6,WTick_6, sectype,17,pipe secdata,OD_13,WTick_13, sectype,18,pipe secdata,OD_13,WTick_13, sectype,19,pipe secdata,OD_8,WTick_8, sectype,20,pipe secdata,OD_12,WTick_12, sectype,21,pipe secdata,OD_12,WTick_12, sectype,22,pipe secdata,OD_12,WTick_12, r,23,1.69306


2841

NRC Piping Benchmarks Input Listings r,24,5.07505 r,25,4.96894 r,26,1.20212 r,27,1.42495 r,28,1.88768 r,29,2.18323 r,30,2.4397 r,31,2.98188 r,32,1.41874 r,33,1.04943e+1 r,34,9.30124e-1 r,35,1.6118 r,36,6.74431e-1 r,37,6.43116e-1 r,38,1.06962 r,39,1.20549 r,40,1.05642 r,41,1.25388 r,42,1.3543 r,43,6.66149e-1 r,44,2.27769 r,45,1.15217 r,46,1.23214 r,47,1.52976 r,48, r,49, r,50, r,51, r,52, r,53, r,54, r,55, r,56, r,57, r,58, r,59, r,60, r,61, r,62, r,63, r,64, r,65, r,66, r,67, r,68, r,69, r,70, r,71, r,72, r,73, r,74, r,75, r,76, r,77, r,78, r,79, r,80, r,81, r,82, r,83,

0.1e+9 0.1e+9 0.1e+9 0.1080e+4 0.6001e+5 0.6001e+5 0.6001e+5 0.7541e+6 0.7541e+6 0.6001e+5 0.6000e+3 0.6001e+5 0.7601e+5 0.6001e+5 0.8000e+3 0.6001e+5 0.1000e+9 0.1000e+9 0.1000e+9 0.2600e+3 0.5901e+5 0.2400e+5 0.7601e+5 0.2801e+5 0.2460e+6 0.6001e+5 0.6001e+5 0.7501e+5 0.4660e+6 0.3400e+3 0.6001e+5 0.5000e+6 0.5000e+6 0.1000e+9 0.1000e+9 0.1000e+9


2842



vm-nr1677-02-4a Input Listing /com,-----------------------------------------------------------------------------------/com, Nodes /com,******* k,1,-203.808,4715.952,139.224 k,2,-215.808,4715.952,139.224 k,3,-203.808,4703.952,139.224 k,4,-203.808,4715.952,127.224 k,5,-203.268,4719.852,154.860 k,6,-202.308,4726.800,182.748 k,7,-202.008,4728.948,191.340 k,8,-201.876,4729.392,194.916 k,9,-201.888,4729.392,194.988 k,10,-205.908,4729.392,205.740 k,11,-210.036,4729.392,210.168 k,12,-212.160,4729.392,212.436 k,13,-213.324,4729.392,213.684 k,14,-220.968,4729.392,221.868 k,15,-220.968,4734.492,221.868 k,16,-231.888,4729.392,233.568 k,17,-233.952,4729.392,235.776 k,18,-233.952,4741.392,235.776 k,19,-235.980,4729.392,237.936 k,20,-246.204,4714.392,248.904 k,21,-246.204,4705.860,248.904 k,22,-246.204,4686.792,248.904 k,23,-246.204,4676.952,248.904 k,24,-246.204,4665.900,248.904 k,25,-246.204,4638.876,248.904 k,26,-246.204,4631.628,248.904 k,27,-246.204,4628.952,248.904 k,28,-256.812,4613.952,238.296 k,29,-263.004,4613.952,232.104 k,30,-263.004,4625.952,232.104 k,31,-264.048,4613.952,231.060 k,32,-275.352,4613.952,219.744 k,33,-275.352,4619.052,219.744 k,34,-286.668,4613.952,208.440 k,35,-291.996,4613.952,203.112 k,36,-302.604,4613.952,198.720 k,37,-314.988,4613.952,198.720 k,38,-314.988,4613.952,186.720 k,39,-340.380,4613.952,198.720 k,40,-366.000,4613.952,198.720 k,41,-381.000,4628.952,198.720 k,42,-381.000,4630.560,198.720 k,43,-381.000,4655.952,198.720 k,44,-369.035,4655.952,197.800 k,45,-381.000,4689.588,198.720 k,46,-381.000,4756.872,198.720 k,47,-381.000,4760.952,198.720 k,48,-396.000,4775.952,198.720 k,49,-399.000,4775.952,198.720 k,50,-399.000,4787.952,198.720 k,51,-402.600,4775.952,198.720 k,52,-402.600,4775.872,210.685 k,53,-440.904,4775.952,198.720 k,54,-450.612,4775.952,198.720 k,55,-465.612,4790.952,198.720 k,56,-465.612,4796.592,198.720 k,57,-453.643,4796.592,197.860 k,58,-465.612,4840.068,198.720 k,59,-465.612,4927.032,198.720 k,60,-465.612,4943.952,198.720 k,61,-459.864,4958.952,212.568 k,62,-458.712,4958.952,215.340 k,63,-458.712,4970.952,215.340 k,64,-455.748,4958.952,222.480


2843

NRC Piping Benchmarks Input Listings k,65,-463.860,4958.952,242.076 k,66,-484.044,4958.952,250.452 k,67,-533.124,4958.952,270.828 k,68,-537.724,4958.952,259.745 k,69,-552.516,4958.952,278.880 k,70,-552.600,4958.952,278.916 k,71,-560.652,4958.952,298.392 k,72,-559.464,4958.952,301.248 k,73,-559.464,4970.952,301.248 k,74,-558.312,4958.952,304.020 k,75,-553.866,4961.957,293.286 k,76,-554.868,4958.952,312.324 k,77,-548.736,4958.952,327.108 k,78,-548.736,4981.752,327.108 k,79,-546.708,4958.952,331.992 k,80,-542.604,4958.952,341.880 k,81,-538.152,4958.952,352.620 k,82,-532.404,4973.952,366.468 k,83,-532.404,4988.628,366.468 k,84,-532.404,5039.952,366.468 k,85,-532.404,5040.048,366.468 k,86,-546.168,5054.952,372.180 k,87,-551.904,5054.952,374.568 k,88,-551.904,5066.952,374.568 k,89,-560.988,5054.952,378.336 k,90,-560.988,5066.952,378.336 k,91,-565.128,5054.952,380.052 k,92,-578.988,5069.952,385.812 k,93,-578.988,5091.924,385.812 k,94,-578.988,5141.940,385.812 k,95,-590.988,5141.940,385.812 k,96,-578.988,5129.940,385.812 k,97,-578.988,5141.940,373.812 k,98,-242.400,4676.952,252.708 k,99,-242.382,4676.952,252.720 k,100,-238.434,4676.952,256.680 k,101,-232.056,4667.952,263.052 k,102,-232.056,4665.936,263.052 k,103,-232.056,4622.952,263.052 k,104,-225.696,4613.952,256.692 k,105,-218.688,4613.952,249.684 k,106,-216.048,4613.952,243.312 k,107,-216.048,4613.952,208.800 k,108,-216.048,4613.952,181.644 k,109,-216.048,4625.952,181.644 k,110,-216.048,4613.952,155.748 k,111,-216.048,4613.952,103.944 k,112,-216.048,4613.952,78.048 k,113,-204.048,4613.952,78.048 k,114,-216.048,4613.952,34.980 k,115,-216.048,4613.952,27.048 k,116,-225.048,4613.952,18.048 k,117,-231.048,4613.952,18.048 k,118,-231.048,4616.447,29.785 k,119,-246.048,4613.952,18.048 k,120,-246.048,4625.952,18.048 k,121,-267.048,4613.952,18.048 k,122,-276.048,4613.952,27.048 k,123,-276.048,4613.952,40.452 k,124,-276.048,4613.952,137.544 k,125,-276.048,4613.952,168.948 k,126,-276.048,4622.952,177.948 k,127,-276.048,4625.952,177.948 k,128,-274.814,4625.952,189.884 k,129,-276.048,4668.492,177.948 k,130,-276.048,4753.560,177.948 k,131,-276.048,4766.952,177.948 k,132,-285.048,4775.952,177.948 k,133,-288.048,4775.952,177.948

2844


vm-nr1677-02-4a Input Listing k,134,-288.048,4787.952,177.948 k,135,-300.048,4775.952,177.948 k,136,-300.048,4781.441,188.620 k,137,-350.532,4775.952,177.948 k,138,-451.512,4775.952,177.948 k,139,-472.020,4775.952,177.948 k,140,-481.020,4784.952,177.948 k,141,-481.020,4800.792,177.948 k,142,-469.580,4800.792,181.571 k,143,-481.020,4855.320,177.948 k,144,-481.020,4964.388,177.948 k,145,-481.020,4979.592,177.948 k,146,-481.020,4979.592,189.948 k,147,-481.020,5000.592,177.948 k,148,-489.336,5009.952,181.392 k,149,-492.876,5009.952,182.868 k,150,-492.876,5021.952,182.868 k,151,-520.044,5009.952,194.148 k,152,-558.600,5009.952,210.156 k,153,-566.916,5018.952,213.600 k,154,-566.916,5021.892,213.600 k,155,-566.916,5048.952,213.600 k,156,-563.472,5057.952,221.912 k,157,-562.320,5057.952,224.688 k,158,-562.320,5069.952,224.688 k,159,-558.864,5057.952,233.004 k,160,-556.716,5057.952,238.188 k,161,-553.884,5057.952,245.004 k,162,-553.884,5062.044,245.004 k,163,-548.904,5057.952,257.016 k,164,-546.600,5057.952,262.560 k,165,-545.436,5057.952,265.368 k,166,-556.148,5060.878,260.821 k,167,-534.588,5057.952,291.528 k,168,-512.880,5057.952,343.824 k,169,-502.020,5057.952,369.984 k,170,-502.020,5069.952,369.984 k,171,-500.988,5057.952,372.468 k,172,-496.392,5045.952,383.544 k,173,-496.392,5037.192,383.544 k,174,-496.392,5033.952,383.544 k,175,-506.700,5021.952,389.676 k,176,-539.784,5021.952,409.358 k,177,-596.976,5059.452,495.504 k,178,-588.540,5021.952,438.372 k,179,-588.624,5021.952,438.420 k,180,-595.416,5029.848,442.464 k,181,-595.416,5035.452,442.464 k,182,-605.748,5047.452,448.596 k,183,-610.896,5047.452,451.668 k,184,-615.072,5047.452,468.120 k,185,-613.716,5047.452,470.388 k,186,-603.960,5047.452,486.792 k,187,-597.504,5047.452,494.988 k,188,-596.976,5047.452,495.504 k,189,-570.048,5047.452,521.736 k,190,-516.180,5047.452,574.200 k,191,-462.312,5047.452,626.676 k,192,-435.384,5047.452,652.920 k,193,-447.384,5047.452,652.920 k,194,-435.384,5035.452,652.920 k,195,-435.384,5047.452,640.920 k,271,-249.31,4618.4,245.79 k,272,-560.66,4959,286.99 k,273,-574.94,5059.4,384.11 k,274,-536.41,5050.6,368.12 k,275,-233.93,4674.4,261.18 k,276,-483.33,5007.2,178.89


2845

NRC Piping Benchmarks Input Listings k,277,-564.48,5012.6,212.59 k,278,-598.45,5044.0,444.25 k,279,-616.39,5047.5,459.03

k,301,-201.99,4729.1,191.93 k,302,-201.97,4729.2,192.52 k,303,-201.94,4729.3,193.11 k,304,-201.92,4729.3,193.71 k,305,-201.90,4729.4,194.31 k,311,-201.95,4729.4,196.95 k,312,-202.26,4729.4,198.89 k,313,-202.83,4729.4,200.76 k,314,-203.63,4729.4,202.55 k,315,-204.67,4729.4,204.22 k,321,-238.63,4728.9,240.77 k,322,-241.09,4727.4,243.42 k,323,-243.21,4725.0,245.69 k,324,-244.83,4721.9,247.43 k,325,-245.86,4718.3,248.53 k,331,-246.30,4627.0,248.81 k,332,-246.57,4625.1,248.53 k,333,-247.02,4623.2,248.09 k,334,-247.63,4621.5,247.47 k,335,-248.40,4619.9,246.70 k,341,-250.35,4617.1,244.75 k,342,-251.50,4616.0,243.60 k,343,-252.75,4615.1,242.36 k,344,-254.06,4614.5,241.04 k,345,-255.43,4614.1,239.68 k,351,-293.47,4614.0,201.82 k,352,-295.10,4614.0,200.73 k,353,-296.86,4614.0,199.86 k,354,-298.72,4614.0,199.23 k,355,-300.65,4614.0,198.85 k,361,-369.88,4614.5,198.72 k,362,-373.50,4616.0,198.72 k,363,-376.61,4618.3,198.72 k,364,-378.99,4621.5,198.72 k,365,-380.49,4625.1,198.72 k,371,-381.51,4764.8,198.72 k,372,-383.01,4768.5,198.72 k,373,-385.39,4771.6,198.72 k,374,-388.50,4773.9,198.72 k,375,-392.12,4775.4,198.72 k,381,-454.49,4776.5,198.72 k,382,-458.11,4778.0,198.72 k,383,-461.22,4780.3,198.72 k,384,-463.60,4783.5,198.72 k,385,-465.10,4787.1,198.72 k,391,-465.42,4947.8,199.19 k,392,-464.84,4951.5,200.58 k,393,-463.93,4954.6,202.78 k,394,-462.74,4956.9,205.64 k,395,-461.35,4958.4,208.98 k,401,-454.73,4959.0,226.26 k,402,-454.73,4959.0,230.18 k,403,-455.75,4959.0,233.96 k,404,-457.70,4959.0,237.35 k,405,-460.47,4959.0,240.12 k,411,-554.35,4959.0,279.78

2846


vm-nr1677-02-4a Input Listing k,412,-555.97,4959.0,280.86 k,413,-557.43,4959.0,282.15 k,414,-558.72,4959.0,283.62 k,415,-559.80,4959.0,285.24 k,421,-561.28,4959.0,288.84 k,422,-561.66,4959.0,290.75 k,423,-561.79,4959.0,292.69 k,424,-561.66,4959.0,294.64 k,425,-561.28,4959.0,296.55 k,431,-536.66,4959.5,356.20 k,432,-535.28,4961.0,359.54 k,433,-534.09,4963.3,362.41 k,434,-533.17,4966.5,364.61 k,435,-532.60,4970.1,366.00 k,441,-566.94,5055.1,380.80 k,442,-568.72,5055.5,381.54 k,443,-570.44,5056.1,382.25 k,444,-572.07,5057.0,382.93 k,445,-573.58,5058.1,383.55 k,451,-576.13,5060.9,384.61 k,452,-577.13,5062.5,385.03 k,453,-577.93,5064.2,385.37 k,454,-578.51,5066.1,385.61 k,455,-578.86,5068.0,385.76 k,461,-532.52,5042.0,366.51 k,462,-532.86,5043.9,366.66 k,463,-533.44,5045.8,366.89 k,464,-534.23,5047.5,367.22 k,465,-535.23,5049.1,367.63 k,471,-537.77,5051.9,368.68 k,472,-539.27,5053.0,369.31 k,473,-540.89,5053.8,369.98 k,474,-542.60,5054.5,370.69 k,475,-544.37,5054.8,371.43 k,481,-237.61,4676.9,257.51 k,482,-236.79,4676.7,258.32 k,483,-236.01,4676.3,259.11 k,484,-235.26,4675.8,259.86 k,485,-234.56,4675.2,260.55 k,491,-233.37,4673.5,261.74 k,492,-232.90,4672.5,262.20 k,493,-232.53,4671.4,262.58 k,494,-232.27,4670.3,262.84 k,495,-232.11,4669.1,263.00 k,501,-231.84,4620.6,262.84 k,502,-231.20,4618.5,262.20 k,503,-230.19,4616.6,261.19 k,504,-228.88,4615.2,259.87 k,505,-227.34,4614.3,258.34 k,511,-217.91,4614.0,248.80 k,512,-217.25,4614.0,247.82 k,513,-216.73,4614.0,246.76 k,514,-216.35,4614.0,245.64 k,515,-216.12,4614.0,244.49 k,521,-216.35,4614.0,24.719 k,522,-217.25,4614.0,22.548 k,523,-218.68,4614.0,20.684 k,524,-220.55,4614.0,19.254 k,525,-222.72,4614.0,18.355 k,531,-269.38,4614.0,18.355


2847

NRC Piping Benchmarks Input Listings k,532,-271.55,4614.0,19.254 k,533,-273.41,4614.0,20.684 k,534,-274.84,4614.0,22.548 k,535,-275.74,4614.0,24.719 k,541,-276.05,4614.3,171.28 k,542,-276.05,4615.2,173.45 k,543,-276.05,4616.6,175.31 k,544,-276.05,4618.5,176.74 k,545,-276.05,4620.6,177.64 k,551,-276.35,4769.3,177.95 k,552,-277.25,4771.5,177.95 k,553,-278.68,4773.3,177.95 k,554,-280.55,4774.7,177.95 k,555,-282.72,4775.6,177.95 k,561,-474.35,4776.3,177.95 k,562,-476.52,4777.2,177.95 k,563,-478.38,4778.6,177.95 k,564,-479.81,4780.5,177.95 k,565,-480.71,4782.6,177.95 k,571,-481.05,5001.8,177.96 k,572,-481.23,5003.0,178.03 k,573,-481.55,5004.2,178.16 k,574,-482.01,5005.3,178.35 k,575,-482.61,5006.3,178.60 k,581,-484.16,5008.0,179.23 k,582,-485.08,5008.7,179.62 k,583,-486.07,5009.2,180.03 k,584,-487.13,5009.6,180.47 k,585,-488.22,5009.9,180.93 k,591,-559.69,5010.0,210.61 k,592,-560.75,5010.3,211.05 k,593,-561.78,5010.6,211.48 k,594,-562.76,5011.2,211.88 k,595,-563.66,5011.8,212.25 k,601,-565.20,5013.5,212.89 k,602,-565.80,5014.5,213.14 k,603,-566.28,5015.5,213.34 k,604,-566.63,5016.6,213.48 k,605,-566.84,5017.8,213.57 k,611,-566.80,5051.3,213.88 k,612,-566.46,5053.5,214.71 k,613,-565.91,5055.3,216.04 k,614,-565.20,5056.7,217.76 k,615,-564.36,5057.6,219.76 k,621,-499.80,5057.5,375.34 k,622,-498.69,5056.3,378.01 k,623,-497.74,5054.4,380.30 k,624,-497.01,5051.9,382.06 k,625,-496.55,5049.1,383.17 k,631,-496.74,5030.8,383.75 k,632,-497.77,5028.0,384.37 k,633,-499.41,5025.5,385.34 k,634,-501.55,5023.6,386.61 k,635,-504.03,5022.4,388.09 k,641,-595.50,5037.0,442.51 k,642,-595.76,5038.6,442.67 k,643,-596.20,5040.1,442.92 k,644,-596.80,5041.5,443.28 k,645,-597.55,5042.8,443.72 k,651,-599.47,5045.0,444.86

2848


vm-nr1677-02-4a Input Listing k,652,-600.59,5045.9,445.52 k,653,-601.81,5046.6,446.25 k,654,-603.08,5047.1,447.01 k,655,-604.40,5047.4,447.79 k,661,-612.19,5047.5,452.56 k,662,-613.36,5047.5,453.61 k,663,-614.38,5047.5,454.80 k,664,-615.23,5047.5,456.12 k,665,-615.91,5047.5,457.54 k,671,-616.68,5047.5,460.57 k,672,-616.76,5047.5,462.14 k,673,-616.64,5047.5,463.71 k,674,-616.31,5047.5,465.24 k,675,-615.78,5047.5,466.72 k,681,-603.04,5047.5,488.27 k,682,-602.05,5047.5,489.71 k,683,-601.00,5047.5,491.10 k,684,-599.89,5047.5,492.45 k,685,-598.73,5047.5,493.74 k,691,-590.37,5022.2,439.46 k,692,-592.00,5023.0,440.43 k,693,-593.40,5024.3,441.26 k,694,-594.48,5025.9,441.91 k,695,-595.17,5027.8,442.32 /com,-----------------------------------------------------------------------------------/com, /com, Straight Pipe (Tangent) Elements /com,********************************** mat,1 type,1 secnum,1 l,1,5 lesize,1,,,1 lmesh,1 type,2 secnum,2 l,5,6 lesize,2,,,1 lmesh,2

type,3 secnum,3 l,6,7 l,8,9 l,10,11 lsel,s,line,,3,5,1 lesize,all,,,1 lmesh,all allsel,all type,4 secnum,4 l,11,12 l,12,13 l,13,14 l,14,16 l,31,32 l,32,34 lsel,s,line,,6,11,1 lesize,all,,,1 lmesh,all allsel,all

! 1

! 2

! 3 ! 5

! 6

! 11


2849


type,5 secnum,5 l,14,15 l,32,33 l,77,78

! 12 ! 14


type,6 secnum,6 l,16,17 l,17,19 l,20,21 l,21,22 l,22,23 l,23,24 l,24,25 l,25,26 l,26,27 l,28,29 l,29,31 l,34,35 l,36,37 l,37,39 l,39,40 l,41,42 l,42,43 l,43,45 l,45,46 l,46,47 l,48,49 l,49,51 l,51,53 l,53,54 l,55,56 l,56,58 l,58,59 l,59,60 l,61,62 l,62,64 l,65,66 l,66,67 l,67,69 l,69,70 l,71,72 l,72,74 l,74,76

! 15

! 51


type,7 secnum,7 l,76,77 l,77,79 l,79,80

! 52 ! 54

lsel,s,line,,52,54,1 lesize,all,,,1 lmesh,all allsel,all type,13 secnum,13

2850


vm-nr1677-02-4a Input Listing l,80,81 l,82,83 l,83,84 l,84,85 l,86,87 l,87,89 l,89,91 l,92,93 l,93,94

! 55

! 63

lsel,s,line,,55,63,1 lesize,all,,,1 lmesh,all allsel,all id = 8 type,8 secnum,8 l,23,98 l,98,99 l,99,100 l,101,102 l,102,103 l,104,105 l,106,107 l,107,108 l,108,110 l,110,111 l,111,112 l,112,114 l,114,115 l,116,117 l,117,119 l,119,121 l,122,123 l,123,124 l,124,125 l,126,127 l,127,129 l,129,130 l,130,131 l,132,133 l,133,135 l,135,137 l,137,138 l,138,139 l,140,141 l,141,143 l,143,144 l,144,145 l,145,147 l,148,149 l,149,151 l,151,152 l,153,154 l,154,155 l,156,157 l,157,159 l,163,164

! 64

! 104

lsel,s,line,,64,104,1 lesize,all,,,1 lmesh,all allsel,all type,9 secnum,9 l,159,160 l,160,161 l,161,163

! 105 !107


2851


lsel,s,line,,105,107,1 lesize,all,,,1 lmesh,all allsel,all type,10 secnum,10 l,161,162 lesize,108,,,1 lmesh,108 allsel,all

! 108

type,12 secnum,12 l,164,165 l,165,167 l,167,168 l,168,169 l,169,171 l,172,173 l,173,174 l,175,176 l,176,178 l,178,179 l,180,181 l,182,183 l,184,185 l,185,186 l,187,188 l,188,189 l,189,190 l,190,191 l,191,192

! 109

! 127


/com, /com, Pipe Bend Elements /com,******************** mat,1 type,14 secnum,3 larc,7,302,301, larc,302,304,303, larc,304,8,305, larc,9,312,311, larc,312,314,313, larc,314,10,315,

! 128

! 133

lsel,s,line,,128,133 lesize,all,,,1 lmesh,all allsel,all

type,15 secnum,6 larc,19,322,321, larc,322,324,323, larc,324,20,325, larc,27,332,331, larc,332,334,333, larc,334,271,335,

2852

! 134


vm-nr1677-02-4a Input Listing larc,271,342,341, larc,342,344,343, larc,344,28,345, larc,35,352,351, larc,352,354,353, larc,354,36,355, larc,40,362,361, larc,362,364,363, larc,364,41,365, larc,47,372,371, larc,372,374,373, larc,374,48,375, larc,54,382,381, larc,382,384,383, larc,384,55,385, larc,60,392,391, larc,392,394,393, larc,394,61,395, larc,64,402,401, larc,402,404,403, larc,404,65,405,

! 160



! 161

! 166


type,17 secnum,13 larc,81,432,431, larc,432,434,433, larc,434,82,435, larc,91,442,441, larc,442,444,443 larc,444,273,445, larc,273,452,451, larc,452,454,453, larc,454,92,455,

! 167

! 175



! 176

! 181

lsel,s,line,,176,181,1 lesize,all,,,1


2853

NRC Piping Benchmarks Input Listings lmesh,all allsel,all

type,19 secnum,8 larc,100,482,481, larc,482,484,483, larc,484,275,485, larc,275,492,491, larc,492,494,493, larc,494,101,495, larc,103,502,501, larc,502,504,503, larc,504,104,505, larc,105,512,511, larc,512,514,513, larc,514,106,515, larc,115,522,521, larc,522,524,523, larc,524,116,525, larc,121,532,531, larc,532,534,533, larc,534,122,535, larc,125,542,541, larc,542,544,543, larc,544,126,545, larc,131,552,551, larc,552,554,553, larc,554,132,555, larc,139,562,561, larc,562,564,563, larc,564,140,565, larc,147,572,571, larc,572,574,573, larc,574,276,575, larc,276,582,581, larc,582,584,583, larc,584,148,585, larc,152,592,591, larc,592,594,593, larc,594,277,595, larc,277,602,601, larc,602,604,603, larc,604,153,605, larc,155,612,611, larc,612,614,613, larc,614,156,615,

! 182

! 223

lsel,s,line,,182,223,1 lesize,all,,,1 lmesh,all allsel,all type,20 secnum,12 larc,171,622,621, larc,622,624,623, larc,624,172,625, larc,174,632,631, larc,632,634,633, larc,634,175,635, larc,181,642,641, larc,642,644,643, larc,644,278,645, larc,278,652,651, larc,652,654,653, larc,654,182,655, larc,183,662,661, larc,662,664,663, larc,664,279,665, larc,279,672,671,

2854

! 224


vm-nr1677-02-4a Input Listing larc,672,674,673, larc,674,184,675,

! 241

lsel,s,line,,224,241, lesize,all,,,1 lmesh,all allsel,all

type,21 secnum,12 larc,186,682,681, larc,682,684,683, larc,684,187,685,

! 242 ! 244



! 245 ! 247


/com, Convert some PIPE289 into ELBOW290 using ELBOW command

elbow,on,,,sect

/com, Point Mass without considering rotatary inertia /com,************************************************* type,23 real,23 e,node(-212.160,4729.392,212.436) e,node(-246.204,4705.860,248.904) e,node(-246.204,4638.876,248.904) type,24 real,24 e,node(-220.968,4734.492,221.868) type,25 real,25 e,node(-275.352,4619.052,219.744) type,26 real,26 e,node(-286.668,4613.952,208.440) type,27 real,27 e,node(-340.380,4613.952,198.720) e,node(-381.000,4630.560,198.720)


2855

NRC Piping Benchmarks Input Listings type,28 real,28 e,node(-381.000,4689.588,198.720) e,node(-381.000,4756.872,198.720) type,29 real,29 e,node(-440.904,4775.952,198.720) type,30 real,30 e,node(-465.612,4840.068,198.720) e,node(-465.612,4927.032,198.720) type,31 real,31 e,node(-484.044,4958.952,250.452) type,32 real,32 e,node(-552.516,4958.952,278.880) type,33 real,33 e,node(-548.736,4981.752,327.108) type,34 real,34 e,node(-546.708,4958.952,331.992) e,node(-532.404,4988.628,366.468) e,node(-532.404,5039.952,366.468) type,35 real,35 e,node(-578.988,5091.924,385.812) type,36 real,36 e,node(-232.056,4665.936,263.052) e,node(-225.696,4613.952,256.692) e,node(-216.048,4613.952,208.800) type,37 real,37 e,node(-216.048,4613.952,155.748) e,node(-216.048,4613.952,103.944) type,38 real,38 e,node(-216.048,4613.952,34.980) type,39 real,39 e,node(-276.048,4613.952,40.452) e,node(-276.048,4613.952,137.544) type,40 real,40 e,node(-276.048,4668.492,177.948) e,node(-276.048,4753.560,177.948) type,41 real,41 e,node(-350.532,4775.952,177.948) e,node(-451.512,4775.952,177.948) type,42 real,42 e,node(-481.020,4855.320,177.948) e,node(-481.020,4964.388,177.948) type,43

2856


vm-nr1677-02-4a Input Listing real,43 e,node(-520.044,5009.952,194.148) e,node(-566.916,5021.892,213.600) e,node(-556.716,5057.952,238.188) type,44 real,44 e,node(-553.884,5062.044,245.004) type,45 real,45 e,node(-534.588,5057.952,291.528) e,node(-512.880,5057.952,343.824) type,46 real,46 e,node(-496.392,5037.192,383.544) e,node(-539.784,5021.952,409.358) e,node(-588.540,5021.952,438.372) e,node(-613.716,5047.452,470.388) type,47 real,47 e,node(-570.048,5047.452,521.736) e,node(-516.180,5047.452,574.200) e,node(-462.312,5047.452,626.676) /com, /com, Elastic supports and anchors /com,****************************** type,48 real,48 l,1,2 lesize,248,,,1 lmesh,248 allsel,all

type,49 real,49 l,1,3 lesize,249,,,1 lmesh,249 allsel,all

! 248

! 249

type,50 real,50 l,1,4 lesize,250,,,1 lmesh,250 allsel,all id = 51 type,51 real,51 l,17,18 lesize,251,,,1 lmesh,251 allsel,all

type,52 real,52 l,29,30 lesize,252,,,1 lmesh,252 allsel,all type,53 real,53 l,37,38


2857

NRC Piping Benchmarks Input Listings lesize,253,,,1 lmesh,253 allsel,all type,55 real,55 l,49,50 lesize,254,,,1 lmesh,254 allsel,all type,58 real,58 l,62,63 lesize,255,,,1 lmesh,255 allsel,all type,60 real,60 l,72,73 lesize,256,,,1 lmesh,256 allsel,all type,62 real,62 l,87,88 lesize,257,,,1 lmesh,257 allsel,all type,63 real,63 l,89,90 lesize,258,,,1 lmesh,258 allsel,all type,64 real,64 l,94,95 lesize,259,,,1 lmesh,259 allsel,all type,65 real,65 l,94,96 lesize,260,,,1 lmesh,260 allsel,all type,66 real,66 l,94,97 lesize,261,,,1 lmesh,261 allsel,all type,67 real,67 l,108,109 lesize,262,,,1 lmesh,262 allsel,all type,68 real,68 l,112,113 lesize,263,,,1 lmesh,263

2858


vm-nr1677-02-4a Input Listing allsel,all type,70 real,70 l,119,120 lesize,264,,,1 lmesh,264 allsel,all type,72 real,72 l,133,134 lesize,265,,,1 lmesh,265 allsel,all type,75 real,75 l,145,146 lesize,266,,,1 lmesh,266 allsel,all type,76 real,76 l,149,150 lesize,267,,,1 lmesh,267 allsel,all type,77 real,77 l,157,158 lesize,268,,,1 lmesh,268 allsel,all id = 79 type,79 real,79 l,169,170 lesize,269,,,1 lmesh,269 allsel,all type,80 real,80 l,188,177 lesize,270,,,1 lmesh,270 allsel,all type,81 real,81 l,192,193 lesize,271,,,1 lmesh,271 allsel,all type,82 real,82 l,192,194 lesize,272,,,1 lmesh,272 allsel,all type,83 real,83 l,192,195 lesize,273,,,1 lmesh,273 allsel,all


2859


n,44000,-369.035,4655.952,197.800 n,52000,-402.600,4775.872,210.685 n,57000,-453.643,4796.592,197.860 n,49000,-399.00,4775.952,198.720 n,68000,-537.724,4958.952,259.745 n,75000,-553.866,4961.957,293.286 n,72000,-559.464,4958.952,301.248 n,118000,-231.048,4616.447,29.785 n,128000,-274.814,4625.952,189.884 n,136000,-300.048,4781.441,188.620 n,142000,-469.580,4800.792,181.571 n,166000,-556.148,5060.878,260.821

/com, /com, rotate nodes with less than 3 supports /com,**************************************** wplane,,nx(69),ny(69),nz(69),nx(44000),ny(44000),nz(44000),nx(71),ny(71),nz(71) cswplane,11,0 nrotat,69 nrotat,44000 csys,0 real,54 type,54 e,69,44000 wplane,,nx(80),ny(80),nz(80),nx(52000),ny(52000),nz(52000),nx(78),ny(78),nz(78) cswplane,12,0 nrotat,80 nrotat,52000 csys,0 real,56 type,56 e,80,52000 wplane,,nx(87),ny(87),nz(87),nx(57000),ny(57000),nz(57000),nx(86),ny(86),nz(86) cswplane,13,0 nrotat,87 nrotat,57000 csys,0 real,57 type,57 e,87,57000 wplane,,nx(103),ny(103),nz(103),nx(68000),ny(68000),nz(68000),nx(101),ny(101),nz(101) cswplane,14,0 nrotat,103 nrotat,68000 csys,0

2860


vm-nr1677-02-4a Input Listing real,59 type,59 e,103,68000 wplane,,nx(112),ny(112),nz(112),nx(75000),ny(75000),nz(75000),nx(110),ny(110),nz(110) cswplane,15,0 nrotat,112 nrotat,75000 csys,0 real,61 type,61 e,112,75000 wplane,,nx(172),ny(172),nz(172),nx(118000),ny(118000),nz(118000),nx(171),ny(171),nz(171) cswplane,16,0 nrotat,172 nrotat,118000 csys,0 real,69 type,69 e,172,118000 wplane,,nx(186),ny(186),nz(186),nx(128000),ny(128000),nz(128000),nx(185),ny(185),nz(185) cswplane,17,0 nrotat,186 nrotat,128000 csys,0 real,71 type,71 e,186,128000 wplane,,nx(197),ny(197),nz(197),nx(136000),ny(136000),nz(136000),nx(195),ny(195),nz(195) cswplane,18,0 nrotat,197 nrotat,136000 csys,0 real,73 type,73 e,197,136000 wplane,,nx(206),ny(206),nz(206),nx(142000),ny(142000),nz(142000),nx(205),ny(205),nz(205) cswplane,19,0 nrotat,206 nrotat,142000 csys,0 real,74 type,74 e,206,142000 wplane,,nx(243),ny(243),nz(243),nx(166000),ny(166000),nz(166000),nx(234),ny(234),nz(234) cswplane,20,0 nrotat,243 nrotat,166000 csys,0 real,78 type,78 e,243,166000 /com,-----------------------------------------------------------------------------------/com, /com, Constraints /com,************* ksel,s,,,2,4 ksel,a,,,18


2861

NRC Piping Benchmarks Input Listings ksel,a,,,30 ksel,a,,,38 !ksel,a,,,44 ksel,a,,,50 !ksel,a,,,52 !ksel,a,,,57 ksel,a,,,63 !ksel,a,,,68 ksel,a,,,73 !ksel,a,,,75 ksel,a,,,88 ksel,a,,,90 ksel,a,,,95,97 ksel,a,,,109 ksel,a,,,113 !ksel,a,,,118 ksel,a,,,120 !ksel,a,,,128 ksel,a,,,134 !ksel,a,,,136 !ksel,a,,,142 ksel,a,,,146 ksel,a,,,150 ksel,a,,,158 !ksel,a,,,166 ksel,a,,,170 ksel,a,,,177 ksel,a,,,193,195 nslk,s d,all,all allsel,all,all

nsel,s,node,,44000 nsel,a,node,,52000 nsel,a,node,,57000 nsel,a,node,,68000 nsel,a,node,,75000 nsel,a,node,,118000 nsel,a,node,,128000 nsel,a,node,,136000 nsel,a,node,,142000 nsel,a,node,,166000 d,all,all,0 allsel,all

ksel,s,,,1 nslk,s d,all,rotx,,,,,roty,rotz allsel,all ksel,s,,,94 nslk,s d,all,rotx,,,,,roty,rotz allsel,all ksel,s,,,192 nslk,s d,all,rotx,,,,,roty,rotz allsel,all finish /com,-----------------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution

2862


vm-nr1677-02-4a Input Listing antype,modal ! Perform Modal Analysis modopt,lanb,maxm lumpm,on ! Use Lumped Mass Matrix Approximation mxpand,maxm,,,yes ! Expand solutions with Element Calculations turned ON solve finish /post1 /out, /com, ******************************************* /com, Frequencies obtained from modal solution /com, ******************************************** set,list finish /com, /com,================ /com, Spectrum Solve /com,================ /com, /out,scratch /solution antype,spectr ! Perform Spectrum Analysis spopt,sprs,maxm ! Single Point Response Spectrum SRSS,0.0 ! Combine modes using SRSS mode combination /com,-----------------------------------------------------------------------------------/com, /com, /com, spectrum 1 (X - Direction) /com,**************************** svtyp, 2, 386.20 freq,0.2,0.5,0.5263,0.578,0.7752,1.7241,2.0,2.1978,2.2472, SV,,0.16,0.16,0.16,0.23,0.339,0.55,0.555,0.555,0.65, freq,2.9851,3.125,4.1667,5.0,5.7143,7.6923,9.0909,9.5238,10.4167 sv,,0.65,1.5,1.5,1.36,0.45,0.935,0.935,0.995,1.31, freq,14.0845,17.8571,19.6078,27.027,33.3333,50.0,100.0 sv,,1.31,1.0,1.222,1.222,0.5,0.252,0.252, sed,1,0,0 solve /com, /com, spectrum 2 (Y - Direction) /com,**************************** svtyp, 2, 386.20 freq,, FREQ,0.2,0.6061,0.667,1.9231,2.439,3.7037,4.0,5.3476,5.5866, SV,,0.085,0.115,0.125,0.36,0.40,0.525,0.54,0.54,0.506, FREQ,8.333,10.989,12.5,14.7059,20.0,21.2766,22.2222,27.7778,28.5714, SV,,2.6,2.6,0.9,0.875,0.875,0.76,0.85,0.85,0.522, FREQ,30.303,33.3333,50.0,100.0 SV,,0.255,0.295,0.194,0.194 sed,0,1,0 solve /com, /com, spectrum 3 (Z - Direction) /com,*************************** svtyp, 2, 386.20


2863

NRC Piping Benchmarks Input Listings freq,,, FREQ,0.2,0.5,0.5814,1.7544,2.1739,2.8571,3.0303,4.1667,5.0, SV,,0.16,0.16,0.23,0.56,0.56,0.80,1.5,1.5,1.15, FREQ,5.2632,5.7143,5.8824,6.2893,6.5789,7.4074,9.6154,10.4167,14.0845, SV,,0.64,0.64,0.7,0.7,0.875,1.05,1.05,1.31,1.31, FREQ,15.873,17.2414,25.0,27.027,32.2581,50.0,100.0 SV,,0.85,1.15,1.15,1.1,0.5,0.225,0.225, sed,0,0,1 solve finish /com,-----------------------------------------------------------------------------------/com, /com,-----------------------------------------------------------------------------------/post1 /input,,mcom /out, /com, /com,=============================================================== /com, Maximum nodal displacements and rotations from spectrum solution /com,=============================================================== /com, /out,scratch *GET,AdisX,NODE,470,U,X *GET,AdisY,NODE,243,U,Y *GET,AdisZ,NODE,425,U,Z *GET,ArotX,NODE,172,ROT,X *GET,ArotY,NODE,217,ROT,Y *GET,ArotZ,NODE,127,ROT,Z /out, *stat,AdisX *stat,AdisY *stat,AdisZ *stat,ArotX *stat,ArotY *stat,ArotZ /com,============================================================== /com, Element Forces and Moments obtained from spectrum solution /com,============================================================== /out,scratch /com,========== /com, Node I /com,========== /com, Element #1 (Pipe289 element) /com,************************

esel,s,elem,,1 etable,pxi_1,smisc,1 etable,vyi_1,smisc,6 etable,vzi_1,smisc,5 etable,txi_1,smisc,4 etable,myi_1,smisc,2 etable,mzi_1,smisc,3 esel,all /out,

2864


vm-nr1677-02-4a Input Listing /com, ************************************************ /com, Element forces and moments at element1, node i /com, ************************************************ pretab,pxi_1,vyi_1,vzi_1,txi_1,myi_1,mzi_1


/out,scratch



/com, Element #240 (Elbow290 element) /com,******************************** esel,s,elem,,240 etable,pxj_240,smisc,36


2865

NRC Piping Benchmarks Input Listings etable,vyj_240,smisc,41 etable,vzj_240,smisc,40 etable,txj_240,smisc,39 etable,myj_240,smisc,37 etable,mzj_240,smisc,38 esel,all allsel,all /out, /com, ********************************************** /com, Element forces and moments at element 240, node j /com, ************************************************ pretab,pxj_240,vyj_240,vzj_240,txj_240,myj_240,mzj_240


vm-nr1677-02-4c Input Listing /COM,ANSYS MEDIA REL. 150 (11/8/2013) REF. VERIF. MANUAL: REL. 150 /verify,vm-nr1677-02-4c /title,vm-nr1677-02-4c,NRC piping benchmarks problems,Volume II,Problem 4c /com, ******************************************************************************* /com, Reference: Piping benchmark problems,Dynamic analysis independant support /com, motion response spectrum method, P. Bezler, M. Subudhi and /com, M.Hartzman, NUREG/CR--1677-Vol.2, August 1985. /com, /com, Elements used: PIPE289, ELBOW290, COMBIN14 and MASS21 /com, /com, /com, Results : /com, The following results are outputted /com, 1. Frequencies obtained from modal solution. /com, 2. Maximum nodal displacements and rotations obtained from spectrum solution. /com, 3. Element forces/moments obtained from spectrum solution. /com, 4. Reaction forces obtained from spectrum solution. /com, /com, /com, ******************************************************************************* /out,scratch /prep7 YoungModulus = 0.283e+8 ! Young's Modulus Nu = 0.3 ! Minor Poisson's Ratio ShearModulus = YoungModulus/(2*(1+Nu)) ! Shear Modulus K = 0.911e-5 ! Thermal Expansion maxm = 50 ! No. of Modes Extracted /com, /com, Section Property /com,****************** /com, /com, Wall Thickness /com,----------------

2866



WTick_1 WTick_2 WTick_3 WTick_4 WTick_5

= = = = =

2.25 3.44 1.0 2.64 74.775


= = = = =

32.25 15.625 10.75 16.03 160.3

OD_6 = 10.75 OD_7 = 16.03 OD_8 = 6.625 OD_9 = 9.87 OD_10 = 98.7 OD_11 = 6.625 OD_12 = 8.625 OD_13 = 10.75

/com,----------------------------------------------------------------------------------/com, /com, Element Types /com,*************** et,1,pipe289,,, et,2,pipe289,,, et,3,pipe289,,, et,4,pipe289,,, et,5,pipe289,,, et,6,pipe289,,, et,7,pipe289,,, et,8,pipe289,,, et,9,pipe289,,, et,10,pipe289,,, et,11,pipe289,,, et,12,pipe289,,, et,13,pipe289,,, et,14,elbow290,, et,15,elbow290,, et,16,elbow290,, et,17,elbow290,, et,18,elbow290,, et,19,elbow290,, et,20,elbow290,, et,21,elbow290,, et,22,elbow290,, et,23,mass21 keyopt,23,3,2


et,24,mass21


2867

NRC Piping Benchmarks Input Listings keyopt,24,3,2 et,25,mass21 keyopt,25,3,2 et,26,mass21 keyopt,26,3,2 et,27,mass21 keyopt,27,3,2 et,28,mass21 keyopt,28,3,2 et,29,mass21 keyopt,29,3,2 et,30,mass21 keyopt,30,3,2 et,31,mass21 keyopt,31,3,2 et,32,mass21 keyopt,32,3,2 et,33,mass21 keyopt,33,3,2 et,34,mass21 keyopt,34,3,2 et,35,mass21 keyopt,35,3,2 et,36,mass21 keyopt,36,3,2 et,37,mass21 keyopt,37,3,2 et,38,mass21 keyopt,38,3,2 et,39,mass21 keyopt,39,3,2 et,40,mass21 keyopt,40,3,2 et,41,mass21 keyopt,41,3,2 et,42,mass21 keyopt,42,3,2 et,43,mass21 keyopt,43,3,2 et,44,mass21 keyopt,44,3,2 et,45,mass21 keyopt,45,3,2 et,46,mass21 keyopt,46,3,2 et,47,mass21 keyopt,47,3,2 et,48,combin14,,1

2868

! Spring Elements Types and Real constants


vm-nr1677-02-4c Input Listing keyopt,48,2,1
















































et,72,combin14,,2


2869

NRC Piping Benchmarks Input Listings keyopt,72,2,2
























/com,---------------------------------------------------------------------------------/com /com, Real Constants /com,**************** sectype,1,pipe secdata,OD_1,WTick_1, sectype,2,pipe secdata,OD_2,WTick_2, sectype,3,pipe secdata,OD_3,WTick_3, sectype,4,pipe secdata,OD_4,WTick_4, sectype,5,pipe secdata,OD_5,WTick_5, sectype,6,pipe secdata,OD_6,WTick_6, sectype,7,pipe secdata,OD_7,WTick_7, sectype,8,pipe secdata,OD_8,WTick_8, sectype,9,pipe secdata,OD_9,WTick_9, sectype,10,pipe secdata,OD_10,WTick_10, sectype,11,pipe

2870


vm-nr1677-02-4c Input Listing secdata,OD_11,WTick_11, sectype,12,pipe secdata,OD_12,WTick_12, sectype,13,pipe secdata,OD_13,WTick_13, sectype,14,pipe secdata,OD_3,WTick_3, sectype,15,pipe secdata,OD_6,WTick_6, sectype,16,pipe secdata,OD_6,WTick_6, sectype,17,pipe secdata,OD_13,WTick_13, sectype,18,pipe secdata,OD_13,WTick_13, sectype,19,pipe secdata,OD_8,WTick_8, sectype,20,pipe secdata,OD_12,WTick_12, sectype,21,pipe secdata,OD_12,WTick_12, sectype,22,pipe secdata,OD_12,WTick_12, r,23,1.69306 r,24,5.07505 r,25,4.96894 r,26,1.20212 r,27,1.42495 r,28,1.88768 r,29,2.18323 r,30,2.4397 r,31,2.98188 r,32,1.41874 r,33,1.04943e+1 r,34,9.30124e-1 r,35,1.6118 r,36,6.74431e-1 r,37,6.43116e-1 r,38,1.06962 r,39,1.20549 r,40,1.05642 r,41,1.25388 r,42,1.3543 r,43,6.66149e-1 r,44,2.27769 r,45,1.15217 r,46,1.23214 r,47,1.52976 r,48, r,49, r,50, r,51, r,52, r,53, r,54, r,55, r,56, r,57, r,58,

0.1e+9 0.1e+9 0.1e+9 0.1080e+4 0.6001e+5 0.6001e+5 0.6001e+5 0.7541e+6 0.7541e+6 0.6001e+5 0.6000e+3


2871

NRC Piping Benchmarks Input Listings r,59, r,60, r,61, r,62, r,63, r,64, r,65, r,66, r,67, r,68, r,69, r,70, r,71, r,72, r,73, r,74, r,75, r,76, r,77, r,78, r,79, r,80, r,81, r,82, r,83,

0.6001e+5 0.7601e+5 0.6001e+5 0.8000e+3 0.6001e+5 0.1000e+9 0.1000e+9 0.1000e+9 0.2600e+3 0.5901e+5 0.2400e+5 0.7601e+5 0.2801e+5 0.2460e+6 0.6001e+5 0.6001e+5 0.7501e+5 0.4660e+6 0.3400e+3 0.6001e+5 0.5000e+6 0.5000e+6 0.1000e+9 0.1000e+9 0.1000e+9



/com,-----------------------------------------------------------------------------------/com, Nodes /com,******* k,1,-203.808,4715.952,139.224 k,2,-215.808,4715.952,139.224 k,3,-203.808,4703.952,139.224 k,4,-203.808,4715.952,127.224 k,5,-203.268,4719.852,154.860 k,6,-202.308,4726.800,182.748 k,7,-202.008,4728.948,191.340 k,8,-201.876,4729.392,194.916 k,9,-201.888,4729.392,194.988 k,10,-205.908,4729.392,205.740 k,11,-210.036,4729.392,210.168 k,12,-212.160,4729.392,212.436 k,13,-213.324,4729.392,213.684 k,14,-220.968,4729.392,221.868 k,15,-220.968,4734.492,221.868 k,16,-231.888,4729.392,233.568 k,17,-233.952,4729.392,235.776 k,18,-233.952,4741.392,235.776 k,19,-235.980,4729.392,237.936 k,20,-246.204,4714.392,248.904 k,21,-246.204,4705.860,248.904 k,22,-246.204,4686.792,248.904 k,23,-246.204,4676.952,248.904 k,24,-246.204,4665.900,248.904 k,25,-246.204,4638.876,248.904 k,26,-246.204,4631.628,248.904 k,27,-246.204,4628.952,248.904 k,28,-256.812,4613.952,238.296 k,29,-263.004,4613.952,232.104 k,30,-263.004,4625.952,232.104

2872


vm-nr1677-02-4c Input Listing k,31,-264.048,4613.952,231.060 k,32,-275.352,4613.952,219.744 k,33,-275.352,4619.052,219.744 k,34,-286.668,4613.952,208.440 k,35,-291.996,4613.952,203.112 k,36,-302.604,4613.952,198.720 k,37,-314.988,4613.952,198.720 k,38,-314.988,4613.952,186.720 k,39,-340.380,4613.952,198.720 k,40,-366.000,4613.952,198.720 k,41,-381.000,4628.952,198.720 k,42,-381.000,4630.560,198.720 k,43,-381.000,4655.952,198.720 k,44,-369.035,4655.952,197.800 k,45,-381.000,4689.588,198.720 k,46,-381.000,4756.872,198.720 k,47,-381.000,4760.952,198.720 k,48,-396.000,4775.952,198.720 k,49,-399.000,4775.952,198.720 k,50,-399.000,4787.952,198.720 k,51,-402.600,4775.952,198.720 k,52,-402.600,4775.872,210.685 k,53,-440.904,4775.952,198.720 k,54,-450.612,4775.952,198.720 k,55,-465.612,4790.952,198.720 k,56,-465.612,4796.592,198.720 k,57,-453.643,4796.592,197.860 k,58,-465.612,4840.068,198.720 k,59,-465.612,4927.032,198.720 k,60,-465.612,4943.952,198.720 k,61,-459.864,4958.952,212.568 k,62,-458.712,4958.952,215.340 k,63,-458.712,4970.952,215.340 k,64,-455.748,4958.952,222.480 k,65,-463.860,4958.952,242.076 k,66,-484.044,4958.952,250.452 k,67,-533.124,4958.952,270.828 k,68,-537.724,4958.952,259.745 k,69,-552.516,4958.952,278.880 k,70,-552.600,4958.952,278.916 k,71,-560.652,4958.952,298.392 k,72,-559.464,4958.952,301.248 k,73,-559.464,4970.952,301.248 k,74,-558.312,4958.952,304.020 k,75,-553.866,4961.957,293.286 k,76,-554.868,4958.952,312.324 k,77,-548.736,4958.952,327.108 k,78,-548.736,4981.752,327.108 k,79,-546.708,4958.952,331.992 k,80,-542.604,4958.952,341.880 k,81,-538.152,4958.952,352.620 k,82,-532.404,4973.952,366.468 k,83,-532.404,4988.628,366.468 k,84,-532.404,5039.952,366.468 k,85,-532.404,5040.048,366.468 k,86,-546.168,5054.952,372.180 k,87,-551.904,5054.952,374.568 k,88,-551.904,5066.952,374.568 k,89,-560.988,5054.952,378.336 k,90,-560.988,5066.952,378.336 k,91,-565.128,5054.952,380.052 k,92,-578.988,5069.952,385.812 k,93,-578.988,5091.924,385.812 k,94,-578.988,5141.940,385.812 k,95,-590.988,5141.940,385.812 k,96,-578.988,5129.940,385.812 k,97,-578.988,5141.940,373.812 k,98,-242.400,4676.952,252.708 k,99,-242.382,4676.952,252.720


2873

NRC Piping Benchmarks Input Listings k,100,-238.434,4676.952,256.680 k,101,-232.056,4667.952,263.052 k,102,-232.056,4665.936,263.052 k,103,-232.056,4622.952,263.052 k,104,-225.696,4613.952,256.692 k,105,-218.688,4613.952,249.684 k,106,-216.048,4613.952,243.312 k,107,-216.048,4613.952,208.800 k,108,-216.048,4613.952,181.644 k,109,-216.048,4625.952,181.644 k,110,-216.048,4613.952,155.748 k,111,-216.048,4613.952,103.944 k,112,-216.048,4613.952,78.048 k,113,-204.048,4613.952,78.048 k,114,-216.048,4613.952,34.980 k,115,-216.048,4613.952,27.048 k,116,-225.048,4613.952,18.048 k,117,-231.048,4613.952,18.048 k,118,-231.048,4616.447,29.785 k,119,-246.048,4613.952,18.048 k,120,-246.048,4625.952,18.048 k,121,-267.048,4613.952,18.048 k,122,-276.048,4613.952,27.048 k,123,-276.048,4613.952,40.452 k,124,-276.048,4613.952,137.544 k,125,-276.048,4613.952,168.948 k,126,-276.048,4622.952,177.948 k,127,-276.048,4625.952,177.948 k,128,-274.814,4625.952,189.884 k,129,-276.048,4668.492,177.948 k,130,-276.048,4753.560,177.948 k,131,-276.048,4766.952,177.948 k,132,-285.048,4775.952,177.948 k,133,-288.048,4775.952,177.948 k,134,-288.048,4787.952,177.948 k,135,-300.048,4775.952,177.948 k,136,-300.048,4781.441,188.620 k,137,-350.532,4775.952,177.948 k,138,-451.512,4775.952,177.948 k,139,-472.020,4775.952,177.948 k,140,-481.020,4784.952,177.948 k,141,-481.020,4800.792,177.948 k,142,-469.580,4800.792,181.571 k,143,-481.020,4855.320,177.948 k,144,-481.020,4964.388,177.948 k,145,-481.020,4979.592,177.948 k,146,-481.020,4979.592,189.948 k,147,-481.020,5000.592,177.948 k,148,-489.336,5009.952,181.392 k,149,-492.876,5009.952,182.868 k,150,-492.876,5021.952,182.868 k,151,-520.044,5009.952,194.148 k,152,-558.600,5009.952,210.156 k,153,-566.916,5018.952,213.600 k,154,-566.916,5021.892,213.600 k,155,-566.916,5048.952,213.600 k,156,-563.472,5057.952,221.912 k,157,-562.320,5057.952,224.688 k,158,-562.320,5069.952,224.688 k,159,-558.864,5057.952,233.004 k,160,-556.716,5057.952,238.188 k,161,-553.884,5057.952,245.004 k,162,-553.884,5062.044,245.004 k,163,-548.904,5057.952,257.016 k,164,-546.600,5057.952,262.560 k,165,-545.436,5057.952,265.368 k,166,-556.148,5060.878,260.821 k,167,-534.588,5057.952,291.528

2874


vm-nr1677-02-4c Input Listing k,168,-512.880,5057.952,343.824 k,169,-502.020,5057.952,369.984 k,170,-502.020,5069.952,369.984 k,171,-500.988,5057.952,372.468 k,172,-496.392,5045.952,383.544 k,173,-496.392,5037.192,383.544 k,174,-496.392,5033.952,383.544 k,175,-506.700,5021.952,389.676 k,176,-539.784,5021.952,409.358 k,177,-596.976,5059.452,495.504 k,178,-588.540,5021.952,438.372 k,179,-588.624,5021.952,438.420 k,180,-595.416,5029.848,442.464 k,181,-595.416,5035.452,442.464 k,182,-605.748,5047.452,448.596 k,183,-610.896,5047.452,451.668 k,184,-615.072,5047.452,468.120 k,185,-613.716,5047.452,470.388 k,186,-603.960,5047.452,486.792 k,187,-597.504,5047.452,494.988 k,188,-596.976,5047.452,495.504 k,189,-570.048,5047.452,521.736 k,190,-516.180,5047.452,574.200 k,191,-462.312,5047.452,626.676 k,192,-435.384,5047.452,652.920 k,193,-447.384,5047.452,652.920 k,194,-435.384,5035.452,652.920 k,195,-435.384,5047.452,640.920 k,271,-249.31,4618.4,245.79 k,272,-560.66,4959,286.99 k,273,-574.94,5059.4,384.11 k,274,-536.41,5050.6,368.12 k,275,-233.93,4674.4,261.18 k,276,-483.33,5007.2,178.89 k,277,-564.48,5012.6,212.59 k,278,-598.45,5044.0,444.25 k,279,-616.39,5047.5,459.03

k,301,-201.99,4729.1,191.93 k,302,-201.97,4729.2,192.52 k,303,-201.94,4729.3,193.11 k,304,-201.92,4729.3,193.71 k,305,-201.90,4729.4,194.31 k,311,-201.95,4729.4,196.95 k,312,-202.26,4729.4,198.89 k,313,-202.83,4729.4,200.76 k,314,-203.63,4729.4,202.55 k,315,-204.67,4729.4,204.22 k,321,-238.63,4728.9,240.77 k,322,-241.09,4727.4,243.42 k,323,-243.21,4725.0,245.69 k,324,-244.83,4721.9,247.43 k,325,-245.86,4718.3,248.53 k,331,-246.30,4627.0,248.81 k,332,-246.57,4625.1,248.53 k,333,-247.02,4623.2,248.09 k,334,-247.63,4621.5,247.47 k,335,-248.40,4619.9,246.70 k,341,-250.35,4617.1,244.75 k,342,-251.50,4616.0,243.60 k,343,-252.75,4615.1,242.36 k,344,-254.06,4614.5,241.04 k,345,-255.43,4614.1,239.68 k,351,-293.47,4614.0,201.82


2875

NRC Piping Benchmarks Input Listings k,352,-295.10,4614.0,200.73 k,353,-296.86,4614.0,199.86 k,354,-298.72,4614.0,199.23 k,355,-300.65,4614.0,198.85 k,361,-369.88,4614.5,198.72 k,362,-373.50,4616.0,198.72 k,363,-376.61,4618.3,198.72 k,364,-378.99,4621.5,198.72 k,365,-380.49,4625.1,198.72 k,371,-381.51,4764.8,198.72 k,372,-383.01,4768.5,198.72 k,373,-385.39,4771.6,198.72 k,374,-388.50,4773.9,198.72 k,375,-392.12,4775.4,198.72 k,381,-454.49,4776.5,198.72 k,382,-458.11,4778.0,198.72 k,383,-461.22,4780.3,198.72 k,384,-463.60,4783.5,198.72 k,385,-465.10,4787.1,198.72 k,391,-465.42,4947.8,199.19 k,392,-464.84,4951.5,200.58 k,393,-463.93,4954.6,202.78 k,394,-462.74,4956.9,205.64 k,395,-461.35,4958.4,208.98 k,401,-454.73,4959.0,226.26 k,402,-454.73,4959.0,230.18 k,403,-455.75,4959.0,233.96 k,404,-457.70,4959.0,237.35 k,405,-460.47,4959.0,240.12 k,411,-554.35,4959.0,279.78 k,412,-555.97,4959.0,280.86 k,413,-557.43,4959.0,282.15 k,414,-558.72,4959.0,283.62 k,415,-559.80,4959.0,285.24 k,421,-561.28,4959.0,288.84 k,422,-561.66,4959.0,290.75 k,423,-561.79,4959.0,292.69 k,424,-561.66,4959.0,294.64 k,425,-561.28,4959.0,296.55 k,431,-536.66,4959.5,356.20 k,432,-535.28,4961.0,359.54 k,433,-534.09,4963.3,362.41 k,434,-533.17,4966.5,364.61 k,435,-532.60,4970.1,366.00 k,441,-566.94,5055.1,380.80 k,442,-568.72,5055.5,381.54 k,443,-570.44,5056.1,382.25 k,444,-572.07,5057.0,382.93 k,445,-573.58,5058.1,383.55 k,451,-576.13,5060.9,384.61 k,452,-577.13,5062.5,385.03 k,453,-577.93,5064.2,385.37 k,454,-578.51,5066.1,385.61 k,455,-578.86,5068.0,385.76 k,461,-532.52,5042.0,366.51 k,462,-532.86,5043.9,366.66 k,463,-533.44,5045.8,366.89 k,464,-534.23,5047.5,367.22 k,465,-535.23,5049.1,367.63 k,471,-537.77,5051.9,368.68

2876


vm-nr1677-02-4c Input Listing k,472,-539.27,5053.0,369.31 k,473,-540.89,5053.8,369.98 k,474,-542.60,5054.5,370.69 k,475,-544.37,5054.8,371.43 k,481,-237.61,4676.9,257.51 k,482,-236.79,4676.7,258.32 k,483,-236.01,4676.3,259.11 k,484,-235.26,4675.8,259.86 k,485,-234.56,4675.2,260.55 k,491,-233.37,4673.5,261.74 k,492,-232.90,4672.5,262.20 k,493,-232.53,4671.4,262.58 k,494,-232.27,4670.3,262.84 k,495,-232.11,4669.1,263.00 k,501,-231.84,4620.6,262.84 k,502,-231.20,4618.5,262.20 k,503,-230.19,4616.6,261.19 k,504,-228.88,4615.2,259.87 k,505,-227.34,4614.3,258.34 k,511,-217.91,4614.0,248.80 k,512,-217.25,4614.0,247.82 k,513,-216.73,4614.0,246.76 k,514,-216.35,4614.0,245.64 k,515,-216.12,4614.0,244.49 k,521,-216.35,4614.0,24.719 k,522,-217.25,4614.0,22.548 k,523,-218.68,4614.0,20.684 k,524,-220.55,4614.0,19.254 k,525,-222.72,4614.0,18.355 k,531,-269.38,4614.0,18.355 k,532,-271.55,4614.0,19.254 k,533,-273.41,4614.0,20.684 k,534,-274.84,4614.0,22.548 k,535,-275.74,4614.0,24.719 k,541,-276.05,4614.3,171.28 k,542,-276.05,4615.2,173.45 k,543,-276.05,4616.6,175.31 k,544,-276.05,4618.5,176.74 k,545,-276.05,4620.6,177.64 k,551,-276.35,4769.3,177.95 k,552,-277.25,4771.5,177.95 k,553,-278.68,4773.3,177.95 k,554,-280.55,4774.7,177.95 k,555,-282.72,4775.6,177.95 k,561,-474.35,4776.3,177.95 k,562,-476.52,4777.2,177.95 k,563,-478.38,4778.6,177.95 k,564,-479.81,4780.5,177.95 k,565,-480.71,4782.6,177.95 k,571,-481.05,5001.8,177.96 k,572,-481.23,5003.0,178.03 k,573,-481.55,5004.2,178.16 k,574,-482.01,5005.3,178.35 k,575,-482.61,5006.3,178.60 k,581,-484.16,5008.0,179.23 k,582,-485.08,5008.7,179.62 k,583,-486.07,5009.2,180.03 k,584,-487.13,5009.6,180.47 k,585,-488.22,5009.9,180.93 k,591,-559.69,5010.0,210.61


2877

NRC Piping Benchmarks Input Listings k,592,-560.75,5010.3,211.05 k,593,-561.78,5010.6,211.48 k,594,-562.76,5011.2,211.88 k,595,-563.66,5011.8,212.25 k,601,-565.20,5013.5,212.89 k,602,-565.80,5014.5,213.14 k,603,-566.28,5015.5,213.34 k,604,-566.63,5016.6,213.48 k,605,-566.84,5017.8,213.57 k,611,-566.80,5051.3,213.88 k,612,-566.46,5053.5,214.71 k,613,-565.91,5055.3,216.04 k,614,-565.20,5056.7,217.76 k,615,-564.36,5057.6,219.76 k,621,-499.80,5057.5,375.34 k,622,-498.69,5056.3,378.01 k,623,-497.74,5054.4,380.30 k,624,-497.01,5051.9,382.06 k,625,-496.55,5049.1,383.17 k,631,-496.74,5030.8,383.75 k,632,-497.77,5028.0,384.37 k,633,-499.41,5025.5,385.34 k,634,-501.55,5023.6,386.61 k,635,-504.03,5022.4,388.09 k,641,-595.50,5037.0,442.51 k,642,-595.76,5038.6,442.67 k,643,-596.20,5040.1,442.92 k,644,-596.80,5041.5,443.28 k,645,-597.55,5042.8,443.72 k,651,-599.47,5045.0,444.86 k,652,-600.59,5045.9,445.52 k,653,-601.81,5046.6,446.25 k,654,-603.08,5047.1,447.01 k,655,-604.40,5047.4,447.79 k,661,-612.19,5047.5,452.56 k,662,-613.36,5047.5,453.61 k,663,-614.38,5047.5,454.80 k,664,-615.23,5047.5,456.12 k,665,-615.91,5047.5,457.54 k,671,-616.68,5047.5,460.57 k,672,-616.76,5047.5,462.14 k,673,-616.64,5047.5,463.71 k,674,-616.31,5047.5,465.24 k,675,-615.78,5047.5,466.72 k,681,-603.04,5047.5,488.27 k,682,-602.05,5047.5,489.71 k,683,-601.00,5047.5,491.10 k,684,-599.89,5047.5,492.45 k,685,-598.73,5047.5,493.74 k,691,-590.37,5022.2,439.46 k,692,-592.00,5023.0,440.43 k,693,-593.40,5024.3,441.26 k,694,-594.48,5025.9,441.91 k,695,-595.17,5027.8,442.32 /com,-----------------------------------------------------------------------------------/com, /com, Straight Pipe (Tangent) Elements /com,********************************** mat,1

2878


vm-nr1677-02-4c Input Listing type,1 secnum,1 l,1,5 lesize,1,,,1 lmesh,1

! 1

type,2 secnum,2 l,5,6 lesize,2,,,1 lmesh,2

! 2

type,3 secnum,3 l,6,7 l,8,9 l,10,11 lsel,s,line,,3,5,1 lesize,all,,,1 lmesh,all allsel,all type,4 secnum,4 l,11,12 l,12,13 l,13,14 l,14,16 l,31,32 l,32,34 lsel,s,line,,6,11,1 lesize,all,,,1 lmesh,all allsel,all

type,5 secnum,5 l,14,15 l,32,33 l,77,78

! 3 ! 5

! 6

! 11

! 12 ! 14


type,6 secnum,6 l,16,17 l,17,19 l,20,21 l,21,22 l,22,23 l,23,24 l,24,25 l,25,26 l,26,27 l,28,29 l,29,31 l,34,35 l,36,37 l,37,39 l,39,40 l,41,42 l,42,43 l,43,45 l,45,46 l,46,47 l,48,49

! 15


2879

NRC Piping Benchmarks Input Listings l,49,51 l,51,53 l,53,54 l,55,56 l,56,58 l,58,59 l,59,60 l,61,62 l,62,64 l,65,66 l,66,67 l,67,69 l,69,70 l,71,72 l,72,74 l,74,76

! 51


type,7 secnum,7 l,76,77 l,77,79 l,79,80

! 52 ! 54

lsel,s,line,,52,54,1 lesize,all,,,1 lmesh,all allsel,all type,13 secnum,13 l,80,81 l,82,83 l,83,84 l,84,85 l,86,87 l,87,89 l,89,91 l,92,93 l,93,94

! 55

! 63

lsel,s,line,,55,63,1 lesize,all,,,1 lmesh,all allsel,all id = 8 type,8 secnum,8 l,23,98 l,98,99 l,99,100 l,101,102 l,102,103 l,104,105 l,106,107 l,107,108 l,108,110 l,110,111 l,111,112 l,112,114 l,114,115 l,116,117 l,117,119 l,119,121 l,122,123

2880

! 64


vm-nr1677-02-4c Input Listing l,123,124 l,124,125 l,126,127 l,127,129 l,129,130 l,130,131 l,132,133 l,133,135 l,135,137 l,137,138 l,138,139 l,140,141 l,141,143 l,143,144 l,144,145 l,145,147 l,148,149 l,149,151 l,151,152 l,153,154 l,154,155 l,156,157 l,157,159 l,163,164

! 104

lsel,s,line,,64,104,1 lesize,all,,,1 lmesh,all allsel,all type,9 secnum,9 l,159,160 l,160,161 l,161,163

! 105 !107

lsel,s,line,,105,107,1 lesize,all,,,1 lmesh,all allsel,all type,10 secnum,10 l,161,162 lesize,108,,,1 lmesh,108 allsel,all

type,12 secnum,12 l,164,165 l,165,167 l,167,168 l,168,169 l,169,171 l,172,173 l,173,174 l,175,176 l,176,178 l,178,179 l,180,181 l,182,183 l,184,185 l,185,186 l,187,188 l,188,189 l,189,190 l,190,191 l,191,192

! 108

! 109

! 127


2881



/com, /com, Pipe Bend Elements /com,******************** mat,1 type,14 secnum,3 larc,7,302,301, larc,302,304,303, larc,304,8,305, larc,9,312,311, larc,312,314,313, larc,314,10,315,

! 128

! 133


type,15 secnum,6 larc,19,322,321, larc,322,324,323, larc,324,20,325, larc,27,332,331, larc,332,334,333, larc,334,271,335, larc,271,342,341, larc,342,344,343, larc,344,28,345, larc,35,352,351, larc,352,354,353, larc,354,36,355, larc,40,362,361, larc,362,364,363, larc,364,41,365, larc,47,372,371, larc,372,374,373, larc,374,48,375, larc,54,382,381, larc,382,384,383, larc,384,55,385, larc,60,392,391, larc,392,394,393, larc,394,61,395, larc,64,402,401, larc,402,404,403, larc,404,65,405,

! 134

! 160



2882

! 161

! 166




type,17 secnum,13 larc,81,432,431, larc,432,434,433, larc,434,82,435, larc,91,442,441, larc,442,444,443 larc,444,273,445, larc,273,452,451, larc,452,454,453, larc,454,92,455,

! 167

! 175



! 176

! 181


type,19 secnum,8 larc,100,482,481, larc,482,484,483, larc,484,275,485, larc,275,492,491, larc,492,494,493, larc,494,101,495, larc,103,502,501, larc,502,504,503, larc,504,104,505, larc,105,512,511, larc,512,514,513, larc,514,106,515, larc,115,522,521, larc,522,524,523, larc,524,116,525, larc,121,532,531, larc,532,534,533, larc,534,122,535, larc,125,542,541, larc,542,544,543, larc,544,126,545, larc,131,552,551, larc,552,554,553, larc,554,132,555, larc,139,562,561, larc,562,564,563, larc,564,140,565, larc,147,572,571, larc,572,574,573, larc,574,276,575,

! 182


2883

NRC Piping Benchmarks Input Listings larc,276,582,581, larc,582,584,583, larc,584,148,585, larc,152,592,591, larc,592,594,593, larc,594,277,595, larc,277,602,601, larc,602,604,603, larc,604,153,605, larc,155,612,611, larc,612,614,613, larc,614,156,615,

! 223

lsel,s,line,,182,223,1 lesize,all,,,1 lmesh,all allsel,all type,20 secnum,12 larc,171,622,621, larc,622,624,623, larc,624,172,625, larc,174,632,631, larc,632,634,633, larc,634,175,635, larc,181,642,641, larc,642,644,643, larc,644,278,645, larc,278,652,651, larc,652,654,653, larc,654,182,655, larc,183,662,661, larc,662,664,663, larc,664,279,665, larc,279,672,671, larc,672,674,673, larc,674,184,675,

! 224

! 241

lsel,s,line,,224,241, lesize,all,,,1 lmesh,all allsel,all


! 242 ! 244



! 245 ! 247


/com, Convert some PIPE289 into ELBOW290 using ELBOW command

2884



elbow,on,,,sect

/com, Point Mass without considering rotatary inertia /com,************************************************* type,23 real,23 e,node(-212.160,4729.392,212.436) e,node(-246.204,4705.860,248.904) e,node(-246.204,4638.876,248.904) type,24 real,24 e,node(-220.968,4734.492,221.868) type,25 real,25 e,node(-275.352,4619.052,219.744) type,26 real,26 e,node(-286.668,4613.952,208.440) type,27 real,27 e,node(-340.380,4613.952,198.720) e,node(-381.000,4630.560,198.720) type,28 real,28 e,node(-381.000,4689.588,198.720) e,node(-381.000,4756.872,198.720) type,29 real,29 e,node(-440.904,4775.952,198.720) type,30 real,30 e,node(-465.612,4840.068,198.720) e,node(-465.612,4927.032,198.720) type,31 real,31 e,node(-484.044,4958.952,250.452) type,32 real,32 e,node(-552.516,4958.952,278.880) type,33 real,33 e,node(-548.736,4981.752,327.108) type,34 real,34 e,node(-546.708,4958.952,331.992) e,node(-532.404,4988.628,366.468) e,node(-532.404,5039.952,366.468) type,35 real,35 e,node(-578.988,5091.924,385.812)


2885

NRC Piping Benchmarks Input Listings type,36 real,36 e,node(-232.056,4665.936,263.052) e,node(-225.696,4613.952,256.692) e,node(-216.048,4613.952,208.800) type,37 real,37 e,node(-216.048,4613.952,155.748) e,node(-216.048,4613.952,103.944) type,38 real,38 e,node(-216.048,4613.952,34.980) type,39 real,39 e,node(-276.048,4613.952,40.452) e,node(-276.048,4613.952,137.544) type,40 real,40 e,node(-276.048,4668.492,177.948) e,node(-276.048,4753.560,177.948) type,41 real,41 e,node(-350.532,4775.952,177.948) e,node(-451.512,4775.952,177.948) type,42 real,42 e,node(-481.020,4855.320,177.948) e,node(-481.020,4964.388,177.948) type,43 real,43 e,node(-520.044,5009.952,194.148) e,node(-566.916,5021.892,213.600) e,node(-556.716,5057.952,238.188) type,44 real,44 e,node(-553.884,5062.044,245.004) type,45 real,45 e,node(-534.588,5057.952,291.528) e,node(-512.880,5057.952,343.824) type,46 real,46 e,node(-496.392,5037.192,383.544) e,node(-539.784,5021.952,409.358) e,node(-588.540,5021.952,438.372) e,node(-613.716,5047.452,470.388) type,47 real,47 e,node(-570.048,5047.452,521.736) e,node(-516.180,5047.452,574.200) e,node(-462.312,5047.452,626.676) /com, /com, Elastic supports and anchors /com,****************************** type,48 real,48 l,1,2 lesize,248,,,1 lmesh,248

2886

! 248


vm-nr1677-02-4c Input Listing allsel,all

type,49 real,49 l,1,3 lesize,249,,,1 lmesh,249 allsel,all

! 249

type,50 real,50 l,1,4 lesize,250,,,1 lmesh,250 allsel,all id = 51 type,51 real,51 l,17,18 lesize,251,,,1 lmesh,251 allsel,all

type,52 real,52 l,29,30 lesize,252,,,1 lmesh,252 allsel,all type,53 real,53 l,37,38 lesize,253,,,1 lmesh,253 allsel,all type,55 real,55 l,49,50 lesize,254,,,1 lmesh,254 allsel,all type,58 real,58 l,62,63 lesize,255,,,1 lmesh,255 allsel,all type,60 real,60 l,72,73 lesize,256,,,1 lmesh,256 allsel,all type,62 real,62 l,87,88 lesize,257,,,1 lmesh,257 allsel,all type,63 real,63 l,89,90 lesize,258,,,1


2887

NRC Piping Benchmarks Input Listings lmesh,258 allsel,all type,64 real,64 l,94,95 lesize,259,,,1 lmesh,259 allsel,all type,65 real,65 l,94,96 lesize,260,,,1 lmesh,260 allsel,all type,66 real,66 l,94,97 lesize,261,,,1 lmesh,261 allsel,all type,67 real,67 l,108,109 lesize,262,,,1 lmesh,262 allsel,all type,68 real,68 l,112,113 lesize,263,,,1 lmesh,263 allsel,all type,70 real,70 l,119,120 lesize,264,,,1 lmesh,264 allsel,all type,72 real,72 l,133,134 lesize,265,,,1 lmesh,265 allsel,all type,75 real,75 l,145,146 lesize,266,,,1 lmesh,266 allsel,all type,76 real,76 l,149,150 lesize,267,,,1 lmesh,267 allsel,all type,77 real,77 l,157,158 lesize,268,,,1 lmesh,268 allsel,all

2888



id = 79 type,79 real,79 l,169,170 lesize,269,,,1 lmesh,269 allsel,all type,80 real,80 l,188,177 lesize,270,,,1 lmesh,270 allsel,all type,81 real,81 l,192,193 lesize,271,,,1 lmesh,271 allsel,all type,82 real,82 l,192,194 lesize,272,,,1 lmesh,272 allsel,all type,83 real,83 l,192,195 lesize,273,,,1 lmesh,273 allsel,all

n,44000,-369.035,4655.952,197.800 n,52000,-402.600,4775.872,210.685 n,57000,-453.643,4796.592,197.860 n,49000,-399.00,4775.952,198.720 n,68000,-537.724,4958.952,259.745 n,75000,-553.866,4961.957,293.286 n,72000,-559.464,4958.952,301.248 n,118000,-231.048,4616.447,29.785 n,128000,-274.814,4625.952,189.884 n,136000,-300.048,4781.441,188.620 n,142000,-469.580,4800.792,181.571 n,166000,-556.148,5060.878,260.821

/com, /com, rotate nodes with less than 3 supports /com,****************************************


2889

NRC Piping Benchmarks Input Listings wplane,,nx(69),ny(69),nz(69),nx(44000),ny(44000),nz(44000),nx(71),ny(71),nz(71) cswplane,11,0 nrotat,69 nrotat,44000 csys,0 real,54 type,54 e,69,44000 wplane,,nx(80),ny(80),nz(80),nx(52000),ny(52000),nz(52000),nx(78),ny(78),nz(78) cswplane,12,0 nrotat,80 nrotat,52000 csys,0 real,56 type,56 e,80,52000 wplane,,nx(87),ny(87),nz(87),nx(57000),ny(57000),nz(57000),nx(86),ny(86),nz(86) cswplane,13,0 nrotat,87 nrotat,57000 csys,0 real,57 type,57 e,87,57000 wplane,,nx(103),ny(103),nz(103),nx(68000),ny(68000),nz(68000),nx(101),ny(101),nz(101) cswplane,14,0 nrotat,103 nrotat,68000 csys,0 real,59 type,59 e,103,68000 wplane,,nx(112),ny(112),nz(112),nx(75000),ny(75000),nz(75000),nx(110),ny(110),nz(110) cswplane,15,0 nrotat,112 nrotat,75000 csys,0 real,61 type,61 e,112,75000 wplane,,nx(172),ny(172),nz(172),nx(118000),ny(118000),nz(118000),nx(171),ny(171),nz(171) cswplane,16,0 nrotat,172 nrotat,118000 csys,0 real,69 type,69 e,172,118000 wplane,,nx(186),ny(186),nz(186),nx(128000),ny(128000),nz(128000),nx(185),ny(185),nz(185) cswplane,17,0 nrotat,186 nrotat,128000 csys,0 real,71 type,71 e,186,128000 wplane,,nx(197),ny(197),nz(197),nx(136000),ny(136000),nz(136000),nx(195),ny(195),nz(195) cswplane,18,0

2890


vm-nr1677-02-4c Input Listing nrotat,197 nrotat,136000 csys,0 real,73 type,73 e,197,136000 wplane,,nx(206),ny(206),nz(206),nx(142000),ny(142000),nz(142000),nx(205),ny(205),nz(205) cswplane,19,0 nrotat,206 nrotat,142000 csys,0 real,74 type,74 e,206,142000 wplane,,nx(243),ny(243),nz(243),nx(166000),ny(166000),nz(166000),nx(234),ny(234),nz(234) cswplane,20,0 nrotat,243 nrotat,166000 csys,0 real,78 type,78 e,243,166000 /com,-----------------------------------------------------------------------------------/com, /com, Constraints /com,************* ksel,s,,,2,4 ksel,a,,,18 ksel,a,,,30 ksel,a,,,38 !ksel,a,,,44 ksel,a,,,50 !ksel,a,,,52 !ksel,a,,,57 ksel,a,,,63 !ksel,a,,,68 ksel,a,,,73 !ksel,a,,,75 ksel,a,,,88 ksel,a,,,90 ksel,a,,,95,97 ksel,a,,,109 ksel,a,,,113 !ksel,a,,,118 ksel,a,,,120 !ksel,a,,,128 ksel,a,,,134 !ksel,a,,,136 !ksel,a,,,142 ksel,a,,,146 ksel,a,,,150 ksel,a,,,158 !ksel,a,,,166 ksel,a,,,170 ksel,a,,,177 ksel,a,,,193,195 nslk,s d,all,all allsel,all,all

nsel,s,node,,44000 nsel,a,node,,52000 nsel,a,node,,57000


2891

NRC Piping Benchmarks Input Listings nsel,a,node,,68000 nsel,a,node,,75000 nsel,a,node,,118000 nsel,a,node,,128000 nsel,a,node,,136000 nsel,a,node,,142000 nsel,a,node,,166000 d,all,all,0 allsel,all

ksel,s,,,1 nslk,s d,all,rotx,,,,,roty,rotz allsel,all ksel,s,,,94 nslk,s d,all,rotx,,,,,roty,rotz allsel,all ksel,s,,,192 nslk,s d,all,rotx,,,,,roty,rotz allsel,all finish /com,-----------------------------------------------------------------------------------/com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal ! Perform Modal Analysis modopt,lanb,maxm lumpm,on ! Use Lumped Mass Matrix Approximation mxpand,maxm,,,yes ! Expand solutions with Element Calculations turned ON solve finish /post1 /out, /com, ******************************************* /com, Frequencies obtained from modal solution /com, ******************************************** set,list finish

/com, /com,================ /com, Spectrum Solve /com,================ /com, /out,scratch /solution antype,spectr spopt,mprs,maxm

! Perform Spectrum Analysis ! Multi Point Response Spectrum

gval = 386.0 /com, /com, Support Group 1, Spectrum 1X /com,****************************** id = 1 spunit, id,accg, gval

2892


vm-nr1677-02-4c Input Listing spfrq,id, 0.2,0.5,0.5263,0.7018,0.7752,1.0582,1.105 spval,id,, 0.16,0.16,0.195,0.235,0.339,0.339,0.305 spfrq,id, 1.25,1.3889,1.5221,1.7241,1.9231,2.0,2.1978 spval,id,, 0.305,0.395,0.395,0.525,0.525,0.555,0.555 spfrq,id, 2.2472,2.9851,3.3333,5.0,5.7143,7.6923,9.0909 spval,id,, 0.65,0.65,1.36,1.36,0.45,0.935,0.935 spfrq,id, 9.5238,12.8205,13.8889,17.8571,19.6078,27.027,33.3333 spval,id,, 0.995,0.995,1.0,1.0,1.222,1.222,0.5 spfrq,id, 50.0,100.0 spval,id,, 0.252,0.252 /com, /com, spectrum 1Y (Group 1) /com,*********************** id = 2 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.6061,0.6086,0.7752,1.5504,1.6667 spval,id,, 8.0e-2,8.0e-2,0.115,0.115,0.141,0.255,0.255 spfrq,id, 1.8349,2.0,2.2727,2.381,2.9762,3.4722,3.9216 spval,id,, 0.265,0.34,0.34,0.36,0.36,0.452,0.452 spfrq,id, 3.9841,5.4054,5.5556,6.3694,7.8125,10.5263,11.236 spval,id,, 0.5,0.5,0.4,0.4,1.4,1.4,1.0 spfrq,id, 11.7647,12.987,14.7059,20.0,22.2222,23.809,26.3158 spval,id,, 1.0,0.625,0.875,0.875,0.6,0.6,0.415 spfrq,id, 28.5714,30.303,33.3333,50.0,100.0 spval,id,, 0.415,0.295,0.295,0.165,0.165 /com, /com, spectrum 1Z (Group 1) /com,*********************** id = 3 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.5263,0.9524,1.0417,1.5601,1.5873 spval,id,, 0.15,0.15,0.167,0.24,0.305,0.305,0.28 spfrq,id, 1.7391,1.9048,2.1053,2.5974,3.3333,5.0,5.2632 spval,id,, 0.435,0.435,0.496,0.496,1.15,1.15,0.64 spfrq,id, 5.7143,5.8824,6.2893,6.5789,7.4074,9.6154,11.3636 spval,id,, 0.64,0.7,0.7,0.875,1.05,1.05,0.62 spfrq,id, 12.8205,14.0845,15.873,17.2414,25.0,27.027,32.2581 spval,id,, 0.62,0.755,0.65,1.15,1.15,1.1,0.5 spfrq,id, 50.0,100.0 spval,id,, 0.225,0.225 /com,----------------------------------------------------------------------------------/com, /com, Support Group 2, Spectrum 2X /com,****************************** id = 4 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.5714,0.9091,0.9524,1.25,1.7544 spval,id,, 0.15,0.15,0.22,0.25,0.31,0.31,0.47 spfrq,id, 2.3256,3.2258,4.5455,5.1282,5.5556,7.6923,10.0


2893

NRC Piping Benchmarks Input Listings spval,id,,

0.47,0.39,0.35,0.29,0.35,0.35,0.23

spfrq,id, 12.5,16.6667,19.2308,33.3333,100.0 spval,id,, 0.3,0.3,0.25,0.09,0.09 /com, /com, spectrum 2Y (Group 2) /com,*********************** id = 5 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.6667,3.7037,4.3478,4.5455,5.5556 spval,id,, 0.085,0.085,0.125,0.525,0.525,0.47,0.47 spfrq,id, 8.3333,10.989,13.3333,16.667,17.2414,21.2766,22.2222 spval,id,, 2.6,2.6,0.5,0.5,0.76,0.76,0.85 spfrq,id, 27.7778,29.4118,100.0 spval,id,, 0.85,0.194,0.194 /com, /com, spectrum 2Z (Group 2) /com,*********************** id = 6 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.5714,0.9091,0.9524,1.25,1.7544 spval,id,, 0.15,0.15,0.22,0.25,0.31,0.31,0.47 spfrq,id, 2.3256,3.2258,4.5455,5.1282,5.5556,7.6923,10.0 spval,id,, 0.47,0.39,0.35,0.29,0.35,0.35,0.23 spfrq,id, 12.5,16.6667,19.2308,33.3333,100.0 spval,id,, 0.3,0.3,0.25,0.09,0.09 /com,----------------------------------------------------------------------------------/com, /com, Support Group 3, Spectrum 3X /com,****************************** id = 7 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.578,1.7241,2.9412,3.0303,4.1667 spval,id,, 0.16,0.16,0.23,0.52,0.50,0.73,0.73 spfrq,id, 4.7619,5.4054,8.3333,10.5263,14.2857,17.8571,23.8095 spval,id,, 0.28,0.34,0.32,0.8,0.8,0.3,0.3 spfrq,id, 25.0,31.25,38.4615,100.0 spval,id,, 0.27,0.27,0.12,0.11 /com, /com, spectrum 3Y (Group 3) /com,*********************** id = 8 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.5814,1.25,1.4286,1.9231,2.3256 spval,id,, 0.08,0.08,0.11,0.19,0.20,0.35,0.35 spfrq,id, 2.439,3.3898,4.0,5.4054,5.8824,6.25,8.3333 spval,id,, 0.40,0.42,0.52,0.52,0.40,0.43,0.43 spfrq,id, 12.5,16.6667,23.2558,100.0 spval,id,, 0.47,0.14,0.14,0.12 /com,

2894


vm-nr1677-02-4c Input Listing /com, spectrum 3Z (Group 3) /com,*********************** id = 9 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.578,1.7241,2.9412,3.0303,4.1667 spval,id,, 0.16,0.16,0.23,0.52,0.50,0.73,0.73 spfrq,id, 4.7619,5.4054,8.3333,10.5263,14.2857,17.8571,23.8095 spval,id,, 0.28,0.34,0.32,0.8,0.8,0.3,0.3 spfrq,id, 25.0,31.25,38.4615,100.0 spval,id,, 0.27,0.27,0.12,0.11 /com,----------------------------------------------------------------------------------/com, /com, Support Group 4, Spectrum 4X /com,****************************** id = 10 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.578,1.25,1.7241,2.2222,2.9412 spval,id,, 0.16,0.16,0.23,0.32,0.55,0.55,0.81 spfrq,id, 3.125,4.1667,5.1282,7.6923,10.4167,14.0845,16.9492 spval,id,, 1.50,1.50,0.29,0.3,1.31,1.31,0.46 spfrq,id, 23.8095,26.3158,32.2581,38.4615,100.0 spval,id,, 0.46,0.30,0.30,0.17,0.16 /com, /com, spectrum 4Y (Group 4) /com,*********************** id = 11 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.5848,1.5625,1.9231,2.3256,2.439 spval,id,, 0.08,0.08,0.11,0.20,0.36,0.36,0.40 spfrq,id, 3.0303,3.4483,4.0,5.3476,5.7143,6.25,8.0 spval,id,, 0.43,0.43,0.54,0.54,0.45,0.52,0.52 spfrq,id, 9.0909,12.5,18.1818,100.0 spval,id,, 0.9,0.9,0.18,0.14 /com, /com, spectrum 4Z (Group 4) /com,*********************** id = 12 spunit, id,accg, gval spfrq,id, 0.2,0.5,0.578,1.25,1.7241,2.2222,2.9412 spval,id,, 0.16,0.16,0.23,0.32,0.55,0.55,0.81 spfrq,id, 3.125,4.1667,5.1282,7.6923,10.4167,14.0845,14.4928 spval,id,, 1.5,1.5,0.29,0.3,1.31,1.31,0.46 spfrq,id, 23.8095,26.3158,32.2581,38.4615,100.0 spval,id,, 0.46,0.3,0.3,0.17,0.16 /com,----------------------------------------------------------------------------------/com, /com, Nodal Components for Excitation Points /com,**************************************** nsel,,node,,496,498


2895

NRC Piping Benchmarks Input Listings nsel,a,node,,499 cm,group1,node allsel,all nsel,,node,,500 nsel,a,node,,501 nsel,a,node,,510 nsel,a,node,,511 nsel,a,node,,118000 nsel,a,node,,512 nsel,a,node,,128000 nsel,a,node,,513 cm,group2,node allsel,all nsel,,node,,44000 nsel,a,node,,502 nsel,a,node,,52000 nsel,a,node,,57000 nsel,a,node,,136000 nsel,a,node,,142000 nsel,a,node,,514 cm,group3,node allsel,all nsel,,node,,503 nsel,a,node,,68000 nsel,a,node,,504 nsel,a,node,,75000 nsel,a,node,,505 nsel,a,node,,506 nsel,a,node,,507,509 nsel,a,node,,515 nsel,a,node,,516 nsel,a,node,,166000 nsel,a,node,,517 nsel,a,node,,518 nsel,a,node,,519,521 cm,group4,node allsel,all,all /com,----------------------------------------------------------------------------------! -- Support Group 1 - spectrum 1 (Along X - Direction) sed,1,,,group1 pfact,1 sed,0,,,group1 ! -- Support Group 1 - spectrum 2 (Along Y - Direction) sed,,1,,group1 pfact,2 sed,,0,,group1 ! -- Support Group 1 - spectrum 3 (Along Z - Direction) sed,,,1,group1 pfact,3 sed,,,0,group1 ! -- Support Group 2 - spectrum 4 (Along X - Direction) sed,1,,,group2 pfact,4 sed,0,,,group2 ! -- Support Group 2 - spectrum 5 (Along Y - Direction) sed,,1,,group2 pfact,5 sed,,0,,group2

2896


vm-nr1677-02-4c Input Listing ! -- Support Group 2 - spectrum 6 (Along Z - Direction) sed,,,1,group2 pfact,6 sed,,,0,group2 ! -- Support Group 3 - spectrum 7 (Along X - Direction) sed,1,,,group3 pfact,7 sed,0,,,group3 ! -- Support Group 3 - spectrum 8 (Along Y - Direction) sed,,1,,group3 pfact,8 sed,,0,,group3 ! -- Support Group 3 - spectrum 9 (Along Z - Direction) sed,,,1,group3 pfact,9 sed,,,0,group3 ! -- Support Group 4 - spectrum 10 (Along X - Direction) sed,1,,,group4 pfact,10 sed,0,,,group4 ! -- Support Group 4 - spectrum 11 (Along Y - Direction) sed,,1,,group4 pfact,11 sed,,0,,group4 ! -- Support Group 4 - spectrum 12 (Along Z - Direction) sed,,,1,group4 pfact,12 sed,,,0,group4 srss,0.00010,,yes solve

! activate Absolute Sum

finish /com,----------------------------------------------------------------------------------/post1 /input,,mcom /out, /com, /com,=============================================================== /com, Maximum nodal displacements and rotations from spectrum solution /com,=============================================================== /com, /out,scratch *GET,AdisX,NODE,470,U,X *GET,AdisY,NODE,243,U,Y *GET,AdisZ,NODE,425,U,Z *GET,ArotX,NODE,208,ROT,X *GET,ArotY,NODE,217,ROT,Y *GET,ArotZ,NODE,175,ROT,Z /out, *stat,AdisX *stat,AdisY *stat,AdisZ *stat,ArotX *stat,ArotY *stat,ArotZ /com,============================================================== /com, Element Forces and Moments obtained from spectrum solution


2897

NRC Piping Benchmarks Input Listings /com,============================================================== /out,scratch /com,========== /com, Node I /com,========== /com, Element #1 (Pipe289 element) /com,************************



/out,scratch

/com,========== /com, Node I /com,========== /com, Element #240 (Elbow 290 element) /com,************************* esel,s,elem,,240 etable,pxi_240,smisc,1 etable,vyi_240,smisc,6 etable,vzi_240,smisc,5 etable,txi_240,smisc,4 etable,myi_240,smisc,2 etable,mzi_240,smisc,3

2898


demonstration-problem1-290 Input Listing esel,all /out, /com, ************************************************* /com, Element forces and moments at element 240, node i /com, ************************************************ pretab,pxi_240,vyi_240,vzi_240,txi_240,myi_240,mzi_240




demonstration-problem1-290 Input Listing /batch,list /verify,demonstration_problem1_290 JPGPRF,500,100,1 /title,Bend pipe model meshed with ELBOW290 elements /COM, ELBOW290

/filnam,290 /prep7 et,1,pipe289

! Element 1 - PIPE289 (Straight Pipe Element)

et,2,elbow290 keyopt,2,2,6

! Element 2- ELBOW290 (Bend Pipe Element) ! General section deformation is 6


2899


/com, Section properties /com,**************** fact = 1.5 sectype,1,pipe secdata,7.288*fact,0.1205,24

! Outer Diameter, Wall Thickness, Radius of Curvature

/com, Material properties /com, ********************

mp,ex,1,24e6 mp,nuxy,1,0.3 mp,dens,1,0.000125

/com, keypoints /com,******* k,1,0.0,0.0,0.0 k,2,0.0,54.45,0.0 k,3,0.0,108.9,0.0 k,4,10.632,134.568,0.0 k,5,36.3,145.2,0.0 k,6,54.15,145.2,0.0 k,7,72.0,145.2,0.0 k,8,97.668,145.2,10.632 k,9,108.3,145.2,36.3 k,10,108.3,145.2,56.80 k,11,108.3,145.2,77.3 k,12,2.7631,122.79,0 k,13,22.408,142.44,0 k,14,85.9,145,2.76 k,15,106,145,22.4

/com, Lines /com, ************ l,1,2 l,2,3 larc,3,4,12,-36.30 larc,4,5,13,-36.30 l,5,6 l,6,7 larc,7,8,14,-36.30 larc,8,9,15,-36.30 l,9,10 l,10,11

/com, Straight Pipe (Tangent Elements) /com,********************************** type,1 mat,1 secnum,1 lsel,s,line,,1 lsel,a,line,,2 lsel,a,line,,5 lsel,a,line,,6 lsel,a,line,,9 lsel,a,line,,10 lesize,all,,,6 lmesh,all allsel,all /com, Bend Pipe Elements

2900


demonstration-problem1-290 Input Listing /com,********************************** type,2 mat,1 secnum,1 lsel,s,line,,3 lsel,a,line,,4 lsel,a,line,,7 lsel,a,line,,8 lesize,all,,,6 lmesh,all allsel,all /com, Selecting just portion of bend elements /com, ****************************************** lsel,u,line,,3,4,1 lclear,all allsel,all /com, Constraints /com, ******************************* nsel,s,node,,14 d,all,all,0 d,all,sect,0 ! Constraining all the section deformations allsel,all finish /com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal outres,all,all modopt,lanb,15 mxpand,15,,,yes solve finish

! LANB mode extraction method ! Expand all 15 modes

/post1 set,list ! Frequencies obtained from Modal Solve /show,jpeg /eshape,1 /efacet,2 /view,1,1,1,1 /graphics,power eplot /replot set,1,1 plnsol,u,sum set,1,2 plnsol,u,sum set,1,3 plnsol,u,sum set,1,4 plnsol,u,sum set,1,5 plnsol,u,sum set,1,6 plnsol,u,sum set,1,7 plnsol,u,sum set,1,8 plnsol,u,sum set,1,9 plnsol,u,sum


2901

NRC Piping Benchmarks Input Listings set,1,10 plnsol,u,sum set,1,11 plnsol,u,sum set,1,12 plnsol,u,sum set,1,13 plnsol,u,sum set,1,14 plnsol,u,sum set,1,15 plnsol,u,sum finish

/com,---------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr ! Perform Spectrum Analysis spopt,sprs ! Single Point Excitation Response Spectrum dmprat,0.02 ! Constant Damping Ratio grp,0.00 ! Group Modes based on significance level svtyp,2 ! Seismic Acceleration Response Loading sed,1 ! Excitation in X direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,533.2,467.2,443.6,380,289,239.4,192.6,184.1,145 solve sed,0,0,0 sed,,1 ! Excitation in Y direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,266.7,580.7,580.7,466.7,792,792,293.3,516.7,516.7 sv,0.02,355.5,311.5,295.7,253.3,192.7,159.6,128.4,122.7,96.7 solve sed,0,0,0 sed,,,1 ! Excitation in Z direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,533.2,467.2,443.6,380,289,239.4,192.6,184.1,145 solve fini /com,---------------------------------------------------------------------------/post1 /input,290,mcom /com, *======================================================== /com, * Displacement Sum and Equivalent Stress /com, *========================================================== plnsol,u,sum *get,umax,plnsol,0,max *get,umin,plnsol,0,min plnsol,s,eqv *get,smax,plnsol,0,max

2902


demonstration-problem1-281 Input Listing *get,smin,plnsol,0,min /show,close *stat,umax *stat,umin *stat,smax *stat,smin finish /exit,nosave

demonstration-problem1-281 Input Listing /batch,list /verify,demonstration_problem1_281 JPGPRF,500,100,1 /title,Bend Pipe model meshed with SHELL281 elements /filnam,281 /prep7 fact = 1.5 out_dia = 7.288*fact ! Outer Diameter wall_thk = 0.1205 ! Wall Thickness out_rad = out_dia/2

! Outer Radius

in_rad = out_dia/2 - wall_thk hf_thick = wall_thk/2 midd = in_rad+hf_thick et,1,shell281

! Inner Radius

! Half Thickness

! SHELL281 element

sectype,1,shell ! Shell Section Definition secdata,wall_thk,1,0,3

/com, Material Properties /com, ********************* mp,ex,1,24e6 mp,nuxy,1,0.3 mp,dens,1,0.000125 /com, keypoints /com,******* k,1,0.0,0.0,0.0 k,2,0.0,54.45,0.0 k,3,0.0,108.9,0.0 k,4,10.632,134.568,0.0 k,5,36.3,145.2,0.0 k,6,54.15,145.2,0.0 k,7,72.0,145.2,0.0 k,8,97.668,145.2,10.632 k,9,108.3,145.2,36.3 k,10,108.3,145.2,56.80 k,11,108.3,145.2,77.3

k,12,2.7631,122.79,0 k,13,22.408,142.44,0 k,14,85.9,145,2.76 k,15,106,145,22.4

k,101,midd,0,0 k,102,0,0,midd


2903

NRC Piping Benchmarks Input Listings k,103,-midd,0,0 k,104,0,0,-midd /com, Lines /com,************************* larc,101,102,1,midd larc,102,103,1,midd larc,103,104,1,midd larc,104,101,1,midd lsel,s,line,,1,4,1 l,1,3,12

! form a line between 1 and 3, with no.of.divisions=8

adrag,1,2,3,4,,,5

larc,3,4,12,-36.3 adrag,6,13,11,9,,,14 larc,4,5,13,-36.3, adrag,18,15,22,20,,,23 l,5,7,12 adrag,31,27,29,24,,,32 larc,7,8,14,-36.3 adrag,33,40,38,36,,,41 larc,8,9,15,-36.3 adrag,42,49,47,45,,,50 l,9,11,12 adrag,51,58,56,54,,,59 lesize,all,,,16

amap,1,16,17,101,102 amap,2,17,18,102,103 amap,3,18,19,103,104 amap,4,16,19,101,104 amap,5,16,17,20,21 amap,6,17,18,21,22 amap,7,18,19,22,23 amap,8,16,19,20,23 amap,9,21,22,24,25 amap,10,22,23,25,26 amap,11,20,23,26,27 amap,12,20,21,24,27 amap,13,24,27,28,29 amap,14,24,25,29,30 amap,15,25,26,30,31 amap,16,26,27,28,31 amap,17,28,29,32,33 amap,18,29,30,33,34 amap,19,30,31,34,35 amap,20,28,31,32,35 amap,21,32,33,36,37 amap,22,33,34,37,38 amap,23,34,35,38,39 amap,24,32,35,36,39 amap,25,36,37,40,41 amap,26,37,38,41,42 amap,27,38,39,42,43

2904


demonstration-problem1-281 Input Listing amap,28,36,39,40,43 allsel,all asel,s,area,,5,12,1 esla,s cm,needed,elem allsel,all asel,u,area,,5,12,1 aclear,all allsel,all /com, Constraints /com,********************** nsel,s,loc,y,108.90 d,all,all,0 allsel,all finish /com, /com, ========================= /com, Modal Solve /com, ========================= /com, /solution antype,modal outres,all,all modopt,lanb,15 mxpand,15,,,yes solve finish


/post1 set,list ! Frequencies obtained from Modal solve /show,jpeg /eshape,0 /efacet,2 /view,1,1,1,1 /graphics,power eplot /replot set,1,1 plnsol,u,sum set,1,2 plnsol,u,sum set,1,3 plnsol,u,sum set,1,4 plnsol,u,sum set,1,5 plnsol,u,sum set,1,6 plnsol,u,sum set,1,7 plnsol,u,sum set,1,8 plnsol,u,sum set,1,9 plnsol,u,sum set,1,10 plnsol,u,sum set,1,11 plnsol,u,sum set,1,12 plnsol,u,sum set,1,13 plnsol,u,sum set,1,14 plnsol,u,sum


2905

NRC Piping Benchmarks Input Listings set,1,15 plnsol,u,sum finish

/com,---------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr ! Perform Spectrum Analysis spopt,sprs ! Single Point Excitation Response Spectrum dmprat,0.02 ! Constant Damping Ratio grp,0.0 ! Group Modes based on significance level svtyp,2 ! Seismic Acceleration Response Loading sed,1 ! Excitation in X direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,533.2,467.2,443.6,380,289,239.4,192.6,184.1,145 solve sed,0,0,0 sed,,1 ! Excitation in Y direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,266.7,580.7,580.7,466.7,792,792,293.3,516.7,516.7 sv,0.02,355.5,311.5,295.7,253.3,192.7,159.6,128.4,122.7,96.7 solve sed,0,0,0 sed,,,1 ! Excitation in Z direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,533.2,467.2,443.6,380,289,239.4,192.6,184.1,145 solve fini /com,---------------------------------------------------------------------------/post1 /input,281,mcom /com, *======================================================== /com, * Displacement Sum and Equivalent Stress /com, *========================================================== plnsol,u,sum *get,umax,plnsol,0,max *get,umin,plnsol,0,min plnsol,s,eqv *get,smax,plnsol,0,max *get,smin,plnsol,0,min /show,close *stat,umax *stat,umin *stat,smax *stat,smin finish /exit,nosave

2906


demonstration-problem1-18 Input Listing

demonstration-problem1-18 Input Listing /batch,list /verify,demonstration_problem1_18 JPGPRF,500,100,1 /title,Bend pipe model meshed with PIPE18 elements /COM, PIPE18

/filnam,18

/prep7 et,1,pipe18

! Element 1 - PIPE18 (Pipe Bend Element)

/com, Real Constants /com,**************** fact=1.5 r,1,7.288*fact,0.1205,36.30,0.0,0.0,0.0 ! Outer Diameter,Wall Thickness,Radius of Curvature



/com, Nodes /com,*******

n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n,

14, 26, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98,

0.0000, 36.300, 10.632, 0.77718E-01, 0.31055, 0.69749, 1.2369, 1.9264, 2.7632, 3.7435, 4.8633, 6.1176, 7.5013, 9.0082, 12.366, 14.202, 16.133, 18.150, 20.245, 22.245, 24.632, 26.905, 29.218, 31.562, 33.926,

108.90, 145.20, 134.57, 111.27, 113.64, 115.98, 118.30, 120.57, 122.79, 124.96, 127.05, 129.07, 131.00, 132.83, 136.19, 137.70, 139.08, 140.34, 141.46, 142.44, 143.27, 143.96, 144.50, 144.89, 145.12,

0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000

n,100,0,90.750,0 n,101,42.250,145.20,0


2907

NRC Piping Benchmarks Input Listings /com, Elements /com, ********************* type,1 mat,1 real,1 e, e, e, e, e, e, e, e, e, e, e, e,

14, 78, 80, 82, 84, 86, 76, 89, 91, 93, 95, 97,

78, 80, 82, 84, 86, 76, 89, 91, 93, 95, 97, 26,

100 14 78 80 82 84 86 93 95 97 26 101

/com, Constraints /com,************* d,14,all,0 allsel,all finish /com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal outres,all,all modopt,lanb,15 mxpand,15,,,yes solve finish

! LANB mode extraction method ! Extract all 15 modes

/post1 set,list ! Frequencies obtained from Modal Solve /show,jpeg /eshape,1,1 /efacet,2 /view,1,1,1,1 /graphics,power eplot /replot set,1,1 plnsol,u,sum set,1,2 plnsol,u,sum set,1,3 plnsol,u,sum set,1,4 plnsol,u,sum set,1,5 plnsol,u,sum set,1,6 plnsol,u,sum set,1,7 plnsol,u,sum set,1,8 plnsol,u,sum set,1,9 plnsol,u,sum set,1,10 plnsol,u,sum

2908


demonstration-problem1-18 Input Listing set,1,11 plnsol,u,sum set,1,12 plnsol,u,sum set,1,13 plnsol,u,sum set,1,14 plnsol,u,sum set,1,15 plnsol,u,sum finish

/com,---------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr ! Perform Spectrum Analysis spopt,sprs ! Single Point Excitation Response Spectrum dmprat,0.02 ! Constant Damping Ratio grp,0.00 ! Group Modes based on significance level svtyp,2 ! Seismic Acceleration Response Loading sed,1 ! Excitation in X direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,533.2,467.2,443.6,380,289,239.4,192.6,184.1,145 solve sed,0,0,0 sed,,1 ! Excitation in Y direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,266.7,580.7,580.7,466.7,792,792,293.3,516.7,516.7 sv,0.02,355.5,311.5,295.7,253.3,192.7,159.6,128.4,122.7,96.7 solve sed,0,0,0 sed,,,1 ! Excitation in Z direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,533.2,467.2,443.6,380,289,239.4,192.6,184.1,145 solve fini /com,---------------------------------------------------------------------------/post1 /input,18,mcom /com, *======================================================== /com, * Displacement Sum and Equivalent Stress /com, *========================================================== plnsol,u,sum *get,umax,plnsol,0,max *get,umin,plnsol,0,min plnsol,s,eqv *get,smax,plnsol,0,max *get,smin,plnsol,0,min /show,close


2909

NRC Piping Benchmarks Input Listings *stat,umax *stat,umin *stat,smax *stat,smin finish /exit,nosave

demonstration-problem2-290 Input Listing /batch,list /verify,demonstration_problem2_290 JPGPRF,500,100,1 /title,Piping model meshed with ELBOW290 elements /COM, ELBOW290 /filnam,290 /prep7 et,1,pipe289


et,2,elbow290 keyopt,2,2,6

! Element 2 - ELBOW290 (Elbow Element) ! General section deformation is 6

/com, Section properties /com,**************** fact = 1.5 sectype,1,pipe ! Pipe section definition secdata,7.288*fact,0.241,24



/com, keypoints /com,******* k,1,0.0,0.0,0.0 k,2,0.0,54.45,0.0 k,3,0.0,108.9,0.0 k,4,10.632,134.568,0.0 k,5,36.3,145.2,0.0 k,6,54.15,145.2,0.0 k,7,72.0,145.2,0.0 k,8,97.668,145.2,10.632 k,9,108.3,145.2,36.3 k,10,108.3,145.2,56.80 k,11,108.3,145.2,77.3 k,12,2.7631,122.79,0 k,13,22.408,142.44,0 k,14,85.9,145,2.76 k,15,106,145,22.4

/com, Lines /com, ************ l,1,2 l,2,3

2910


demonstration-problem2-290 Input Listing larc,3,4,12,-36.30 larc,4,5,13,-36.30 l,5,6 l,6,7 larc,7,8,14,-36.30 larc,8,9,15,-36.30 l,9,10 l,10,11

/com, Straight Pipe (Tangent Elements) /com,********************************** type,1 mat,1 secnum,1 lsel,s,line,,1 lsel,a,line,,10 lesize,all,,,12 lmesh,all lsel,all lsel,s,line,,2 lsel,a,line,,5 lsel,a,line,,6 lsel,a,line,,9 lesize,all,,,12 lmesh,all allsel,all /com, Bend Pipe Elements /com,********************************** type,2 mat,1 secnum,1 lsel,s,line,,3 lsel,a,line,,4 lsel,a,line,,7 lsel,a,line,,8 lesize,all,,,12 lmesh,all allsel,all

/com, Converting all PIPE289 into ELBOW290 elements /com, ********************************************************* emodif,all,type,2 allsel,all

/com, Constraints /com,*************

ksel,s,,,1 ksel,a,,,11 nslk,s d,all,all,0 d,all,sect,0 allsel,all finish /com, /com,============= /com, Modal Solve /com,============= /com,


2911


/solution antype,modal outres,all,all modopt,lanb,15 mxpand,15,,,yes solve finish


/post1 set,list ! Frequencies obtained from modal solve /show,jpeg /eshape,1 /efacet,2 /view,1,1,1,1 /graphics,power eplot /replot set,1,1 plnsol,u,sum set,1,2 plnsol,u,sum set,1,3 plnsol,u,sum set,1,4 plnsol,u,sum set,1,5 plnsol,u,sum set,1,6 plnsol,u,sum set,1,7 plnsol,u,sum set,1,8 plnsol,u,sum set,1,9 plnsol,u,sum set,1,10 plnsol,u,sum set,1,11 plnsol,u,sum set,1,12 plnsol,u,sum set,1,13 plnsol,u,sum set,1,14 plnsol,u,sum set,1,15 plnsol,u,sum finish

/com,---------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr ! Perform Spectrum Analysis spopt,sprs ! Single Point Excitation Response Spectrum dmprat,0.5 ! Constant Damping Ratio grp,0.00 ! Group Modes based on significance level svtyp,2 ! Seismic Acceleration Response Loading sed,1 ! Excitation in X direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,533.2,467.2,443.6,380,289,239.4,192.6,184.1,145

2912


demonstration-problem2-281 Input Listing solve sed,,1 ! Excitation in Y direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,266.7,580.7,580.7,466.7,792,792,293.3,516.7,516.7 sv,0.02,355.5,311.5,295.7,253.3,192.7,159.6,128.4,122.7,96.7 solve sed,,,1 ! Excitation in Z direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,533.2,467.2,443.6,380,289,239.4,192.6,184.1,145 solve fini /com,---------------------------------------------------------------------------/post1 /input,290,mcom /com, *======================================================== /com, * Displacement Sum and Equivalent Stress /com, *========================================================== plnsol,u,sum *get,umax,plnsol,0,max *get,umin,plnsol,0,min plesol,s,eqv *get,smax,plnsol,0,max *get,smin,plnsol,0,min /show,close *stat,umax *stat,umin *stat,smax *stat,smin finish /exit,nosave

demonstration-problem2-281 Input Listing /batch,list /verify,demonstration_problem2_281 JPGPRF,500,100,1 /title,Piping Model meshed with SHELL281 elements /filnam,281 /prep7 fact = 1.5 out_dia = 7.288*fact ! Outer Diameter wall_thk = 0.241 ! Wall Thickness out_rad = out_dia/2

! Outer radius

in_rad = out_dia/2 - wall_thk hf_thick = wall_thk/2 midd = in_rad+hf_thick et,1,shell281

! Inner radius

! Half Thickness

! SHELL281 elements

sectype,1,shell ! Section definition secdata,wall_thk,1,0,3


2913

NRC Piping Benchmarks Input Listings mp,ex,1,24e6 mp,nuxy,1,0.3 mp,dens,1,0.000125 /com, keypoints /com,************* k,1,0.0,0.0,0.0 k,2,0.0,54.45,0.0 k,3,0.0,108.9,0.0 k,4,10.632,134.568,0.0 k,5,36.3,145.2,0.0 k,6,54.15,145.2,0.0 k,7,72.0,145.2,0.0 k,8,97.668,145.2,10.632 k,9,108.3,145.2,36.3 k,10,108.3,145.2,56.80 k,11,108.3,145.2,77.3

k,12,2.7631,122.79,0 k,13,22.408,142.44,0 k,14,85.9,145,2.76 k,15,106,145,22.4

k,101,midd,0,0 k,102,0,0,midd k,103,-midd,0,0 k,104,0,0,-midd /com, lines /com,************* larc,101,102,1,midd larc,102,103,1,midd larc,103,104,1,midd larc,104,101,1,midd lsel,s,line,,1,4,1 lesize,all,,,12 lsel,all l,1,3,12 adrag,1,2,3,4,,,5 larc,3,4,12,-36.3 adrag,6,13,11,9,,,14 larc,4,5,13,-36.3, adrag,18,15,22,20,,,23 l,5,7,12 adrag,31,27,29,24,,,32 larc,7,8,14,-36.3 adrag,33,40,38,36,,,41 larc,8,9,15,-36.3 adrag,42,49,47,45,,,50 l,9,11,12 adrag,51,58,56,54,,,59 lesize,all,,,12

2914



allsel,all amap,1,16,17,101,102 amap,2,17,18,102,103 amap,3,18,19,103,104 amap,4,16,19,101,104 amap,5,16,17,20,21 amap,6,17,18,21,22 amap,7,18,19,22,23 amap,8,16,19,20,23 amap,9,21,22,24,25 amap,10,22,23,25,26 amap,11,20,23,26,27 amap,12,20,21,24,27 amap,13,24,27,28,29 amap,14,24,25,29,30 amap,15,25,26,30,31 amap,16,26,27,28,31 amap,17,28,29,32,33 amap,18,29,30,33,34 amap,19,30,31,34,35 amap,20,28,31,32,35 amap,21,32,33,36,37 amap,22,33,34,37,38 amap,23,34,35,38,39 amap,24,32,35,36,39 amap,25,36,37,40,41 amap,26,37,38,41,42 amap,27,38,39,42,43 amap,28,36,39,40,43

/com, constraints /com,************* nsel,s,loc,y,0 d,all,all,0 alls lsel,s,line,,60 lsel,a,line,,63 lsel,a,line,,65 lsel,a,line,,67 nsll,s,1 d,all,all,0 alls finish /solution antype,modal outres,all,all modopt,lanb,15 mxpand,15,,,yes solve fini


/post1 set,list ! Frequencies obtained from Modal Solve rsys,solu /show,jpeg /eshape,0 /efacet,2 /view,1,1,1,1 /graphics,power eplot /replot set,1,1 plnsol,u,sum set,1,2 plnsol,u,sum set,1,3


2915

NRC Piping Benchmarks Input Listings plnsol,u,sum set,1,4 plnsol,u,sum set,1,5 plnsol,u,sum set,1,6 plnsol,u,sum set,1,7 plnsol,u,sum set,1,8 plnsol,u,sum set,1,9 plnsol,u,sum set,1,10 plnsol,u,sum set,1,11 plnsol,u,sum set,1,12 plnsol,u,sum set,1,13 plnsol,u,sum set,1,14 plnsol,u,sum set,1,15 plnsol,u,sum finish

/com,---------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectr ! Perform Spectrum Analysis spopt,sprs ! Single Point Excitation Response Spectrum dmprat,0.02 ! Constant Damping Ratio grp,0.0 ! Group Modes based on significance level svtyp,2 ! Seismic Acceleration Response Loading sed,1 ! Excitation in X direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,533.2,467.2,443.6,380,289,239.4,192.6,184.1,145 solve sed,,1 ! Excitation in Y direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,266.7,580.7,580.7,466.7,792,792,293.3,516.7,516.7 sv,0.02,355.5,311.5,295.7,253.3,192.7,159.6,128.4,122.7,96.7 solve sed,,,1 ! Excitation in Z direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,533.2,467.2,443.6,380,289,239.4,192.6,184.1,145 solve fini /com,---------------------------------------------------------------------------/post1

2916


demonstration-problem2-16-18 Input Listing /input,281,mcom /com, *======================================================== /com, * Displacement Sum and Equivalent Stress /com, *========================================================== plnsol,u,sum *get,umax,plnsol,0,max *get,umin,plnsol,0,min plnsol,s,eqv *get,smax,plnsol,0,max *get,smin,plnsol,0,min /show,close *stat,umax *stat,umin *stat,smax *stat,smin finish /exit,nosave

demonstration-problem2-16-18 Input Listing /batch,list /verify,demonstration_problem2_16_18 JPGPRF,500,100,1 /title,Piping model meshed with PIPE16 and PIPE18 elements /COM, PIPE16 + PIPE18 /filnam,16-18 /prep7 et,1,pipe16


et,2,pipe18

! Element 2 - PIPE18 (Pipe Bend Element)

/com, Real Constants /com,**************** fact=1.5 r,1,7.288*fact,0.241,0.0,0.0,0.0,0.0 ! Outer Diameter, Wall Thickness r,2,7.288*fact,0.241,36.30,0.0,0.0,0.0 ! Outer Diameter, Wall Thickness, Radius of Curvature



/com, Nodes /com,******* n, n, n, n, n, n, n, n, n,

1, 2, 3, 4, 5, 6, 7, 8, 9,

0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 0.0000, 36.300, 54.150,

0.0000, 54.450, 18.150, 36.300, 108.90, 72.600, 90.750, 145.20, 145.20,

0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000


2917

NRC Piping Benchmarks Input Listings n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n, n,

10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43,

42.250, 48.200, 72.000, 60.100, 66.050, 108.30, 108.30, 108.30, 108.30, 108.30, 108.30, 108.30, 10.632, 0.31055, 1.2369, 2.7632, 4.8633, 7.5013, 14.202, 18.150, 22.409, 26.905, 31.562, 97.668, 76.737, 81.393, 85.889, 90.148, 94.097, 100.80, 103.43, 105.53, 107.06, 107.99,

145.20, 145.20, 145.20, 145.20, 145.20, 145.20, 145.20, 145.20, 145.20, 145.20, 145.20, 145.20, 134.57, 113.64, 118.30, 122.79, 127.05, 131.00, 137.70, 140.34, 142.44, 143.96, 144.89, 145.20, 145.09, 145.02, 145.00, 145.02, 145.09, 145.10, 145.05, 145.03, 145.05, 145.10,

0.0000 0.0000 0.0000 0.0000 0.0000 36.300 56.800 43.133 49.967 77.300 63.633 70.467 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 10.632 0.31421 1.2428 2.7698 4.8691 7.5049 14.203 18.152 22.411 26.907 31.563

/com, Straight Pipe (Tangent Elements) /com,********************************** type,1 mat,1 real,1 e,1,3 e,3,4 e,4,2 e,2,6 e,6,7 e,7,5 e,8,10 e,10,11 e,11,9 e,9,13 e,13,14 e,14,12 e,15,17 e,17,18 e,18,16 e,16,20 e,20,21 e,21,19

/com, Bend Pipe Elements /com,********************************** type,2 mat,1 real,2

2918


demonstration-problem2-16-18 Input Listing e,5,24,7 e,24,26,5 e,26,22,24 e,22,29,26 e,29,31,8 e,31,8,10 e,12,35,14 e,35,37,12 e,37,33,35 e,33,40,37 e,40,42,33 e,42,15,17

/com, Constraints /com,************* d,1,all,0 d,19,all,0 allsel,all finish /com, /com,============= /com, Modal Solve /com,============= /com, /solution antype,modal outres,all,all modopt,lanb,15 mxpand,15,,,yes solve finish


/post1 set,list ! Frequencies obtained from Modal Solve /show,jpeg /eshape,1,1 /efacet,2 /view,1,1,1,1 /graphics,power eplot /replot set,1,1 plnsol,u,sum set,1,2 plnsol,u,sum set,1,3 plnsol,u,sum set,1,4 plnsol,u,sum set,1,5 plnsol,u,sum set,1,6 plnsol,u,sum set,1,7 plnsol,u,sum set,1,8 plnsol,u,sum set,1,9 plnsol,u,sum set,1,10 plnsol,u,sum set,1,11 plnsol,u,sum set,1,12 plnsol,u,sum set,1,13


2919

NRC Piping Benchmarks Input Listings plnsol,u,sum set,1,14 plnsol,u,sum set,1,15 plnsol,u,sum finish

/com,---------------------------------------------------------------------------/com, /com,================ /com, Spectrum Solve /com,================ /com, /solution antype,spectrum ! Perform Spectrum Analysis spopt,sprs ! Single Point Excitation Response Spectrum dmprat,0.02 ! Constant Damping Ratio grp,0.00 ! Group Modes based on significance level svtyp,2 ! Seismic Acceleration Response Loading sed,1 ! Excitation in X direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,533.2,467.2,443.6,380,289,239.4,192.6,184.1,145 solve sed,,1 ! Excitation in Y direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,266.7,580.7,580.7,466.7,792,792,293.3,516.7,516.7 sv,0.02,355.5,311.5,295.7,253.3,192.7,159.6,128.4,122.7,96.7 solve sed,,,1 ! Excitation in Z direction freq freq,3.1,4,5,5.81,7.1,8.77,10.99,14.08,17.24 freq,25,28.5,30,34.97,55,80,140,162,588.93 sv,0.02,400,871,871,700,1188,1188,440,775,775 sv,0.02,533.2,467.2,443.6,380,289,239.4,192.6,184.1,145 solve fini /com,---------------------------------------------------------------------------/post1 /input,16-18,mcom /com, *======================================================== /com, * Displacement Sum and Equivalent Stress /com, *========================================================== plnsol,u,sum *get,umax,plnsol,0,max *get,umin,plnsol,0,min plnsol,s,eqv *get,smax,plnsol,0,max *get,smin,plnsol,0,min /show,close *stat,umax *stat,umin *stat,smax *stat,smin finish /exit,nosave

2920


demonstration_problem3-289-290 Input Listing

demonstration_problem3-289-290 Input Listing /batch,list /verify,demonstration_problem3_289_290 JPGPRF,500,100,1 /title,Piping model meshed with PIPE289 and ELBOW290 elements /filnam,289-290 /PREP7 YoungModulus1 = .258e+8 Nu = 0.3 ShearModulus1 = YoungModulus1/(2*(1+Nu)) WMass = 1.042868e-03

! ! ! !

WTick=0.216 OD=3.5









/com, /com, Real Constants /com,**************** sectype,1,PIPE,ctube secdata,OD,WTick,24

! Pipe Section Definition

r,3,0.2e+8 r,4,0.2e+8 r,5,0.2e+8 r,6,0.2e+5 r,7,0.2e+5

! ! ! ! !


/com,---------------------------------------------------------------------------/com, /com, Material Properties /com,********************* mp,ex,1,YoungModulus1 mp,nuxy,1,Nu mp,gxy,1,ShearModulus1 mp,dens,1,WMass mp,ex,2,YoungModulus1 mp,nuxy,2,Nu mp,gxy,2,ShearModulus1 mp,dens,2,WMass /com,---------------------------------------------------------------------------/com, Keypoints


2921

NRC Piping Benchmarks Input Listings /com,*********** k,1,0,0,0 k,2,0,12,0 k,3,35.687,60,32.110 k,4,55,60,49.5 k,5,74.329,60,66.882 k,6,110,12,99 k,7,110,0,99 k,8,110,-24,99, k,9,110,-48,99, k,10,110,-72,99 k,11,110,-96,99 k,12,110,-120,99 k,13,110,-144,99 k,14,110,-168,99 k,15,110,-198,99 k,16,110,-228,99 k,17,110,-252,99 k,18,110,-276,99 k,19,110,-300,99 k,20,110,-324,99 k,21,99.6,-349.4,99 k,22,89.2,-374.8,99 k,23,78.8,-400,99 k,24,68.4,-425.6,99 k,25,58,-451,99 k,26,58,-475,99 k,27,58,-487,99 k,28,103.537,-535,114.179 k,29,124.269,-535,121.1 k,30,145,-535,128 k,31,184.975,-535,123.615 k,32,214.8,-536,102.8 k,33,254.585,-535,81.849 k,34,279.312,-535,75 k,35,331,-535,75 k,36,383,-535,75 /com, /com, Elastic support Keypoints /com,*************************** k,37,10,0,0 k,38,0,10,0 k,39,0,0,10 k,40,55,70,49.5 k,41,110,0,109 k,42,120,0,99 k,43,110,-168,109 k,44,120,-168,109 k,45,110,-324,109 k,46,120,-324,99 k,47,58,-475,109 k,48,68,-475,99 k,49,103.537,-545,114.179 k,50,103.537,-535,104.179 k,51,393,-535,75 k,52,383,-545,75 k,53,383,-535,85 /com,---------------------------------------------------------------------------/com, /com, Modeling of Straight Pipe (Tangent) /com,************************************ l, l, l, l, l,

2922

1, 3, 4, 6, 7,

2 4 5 7 8


demonstration_problem3-289-290 Input Listing l, 8, 9 l, 9,10 l,10,11 l,11,12 l,12,13 l,13,14 l,14,15 l,15,16 l,16,17 l,17,18 l,18,19 l,19,20 l,20,21 l,21,22 l,22,23 l,23,24 l,24,25 l,25,26 l,26,27 l,28,29 l,29,30 l,31,32 l,32,33 l,34,35 l,35,36

! line number 30


! line number 35

/com, Elastic supports and anchors /com,****************************** l,1,37 l,36,51 l,4,40 l,7,41 l,26,47 l,28,49 l,1,38 l,36,52 l,7,42 l,26,48 l,28,50 l,1,39 l,36,53 l,14,43 l,20,45 l,14,44 l,20,46 /com, ********************************** /com, Meshing for Straight pipe /com, ********************************** type,1 secnum,1 mat,1

lsel,s,,,2,29 allsel,below,line


2923

NRC Piping Benchmarks Input Listings lesize,all,,,4 lmesh,all allsel,all,all /com, ********************************** /com, Meshing for bend pipe /com, ********************************** type,2 secnum,1 mat,2 /com, /com, /com, /com, /com, /com, /com, /com, /com,

***************************************** Note: The end elements are modeled using elbow elements in order to compare with the shell281 results. With elbow290 in addition to constraining the nodal DOF you can also constrain the section constraints which is not possible with pipe289 elements.

lsel,s,line,,1 lsel,a,line,,30 lesize,all,,,6 lmesh,all lsel,all

lsel,s,,,31,35 allsel,below,line lesize,all,,,4 lmesh,all allsel,all,all

/com, ************************************************************ /com, Using ELBOW, to convert some PIPE289 into ELBOW290 near /com, the pipe ends /com, ************************************************************ elbow,on,,,sect esel,s,ename,,290 nsle,s esln,s nsle,s esln,s nsle,s esln,s esel,u,ename,,290 emodif,all,type,2 allsel,all

/com, **************************** /com, Spring - damper elements /com, ****************************** type,3 real,3 lsel,s,,,36,41 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all

2924


demonstration_problem3-289-290 Input Listing type,4 real,4 lsel,s,,,42,46 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all type,5 real,5 lsel,s,,,47,48 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all type,6 real,6 lsel,s,,,49,50 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all type,7 real,7 lsel,s,,,51,52 allsel,below,line lesize,all,,,1 lmesh,all allsel,all,all

n1 = node(55,60,49.500) n2 = node(55,70,49.500) n3 = node(35.687,60,32.110) n4 = node(110,0,99.00) n5 = node(110,0,109.00) n6 = node(120,0,99.00) n7 = node(110,-168.0,99.00) n8 = node(110,-168.0,109.00) n9 = node(120,-168.0,109.00) n10 = node(110,-324.0,99.00) n11 = node(110,-324,109.00) n12 = node(120,-324,99.00) n13 = node(58,-475,99.00) n14 = node(58,-475,109.00) n15 = node(68,-475,99) n16 = node(103.54,-535,114.18) n17 = node(103.54,-545,114.18) n18 = node(103.54,-535,104.18) n19 n20 n21 n22 n23 n24 n25

= = = = = = =

node(10,0,0) node(393,-535,75) node(55,70,49.500) node(110.0,0,109.0) node(58.00,-475,109.00) node(103.54,-545,114.18) node(0,10,0)


2925


n26 = node(0,0,0) n27 = node(383,-535,75) n28 n29 n30 n31 n32 n33 n34 n35 n36 n37

= = = = = = = = = =

node(383,-545,75) node(120,0,99) node(68,-475,99) node(103.54,-535,104.18) node(0,0,10) node(383.00,-535,85) node(110,-168,109) node(110,-324,109) node(120,-168,109) node(120,-324,99)

allsel,all /com, rotate nodes with less than 3 supports /com, /com, rotate nodes with less than 3 supports /com, n1 = 2 n2 = 292 n3 = 1 ics = 11 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0 n1 = 19 n2 = 293 n3 = 298 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 n1 = 75 n2 = 303 n3 = 305 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 n1 = 123 n2 = 304 n3 = 306 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 n1 = 171 n2 = 294 n3 = 299 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2

2926


demonstration_problem3-289-290 Input Listing nrotat,n3 csys,0 n1 = 187 n2 = 295 n3 = 300 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 allsel,all,all /com,---------------------------------------------------------------------------/com, /com, Constraints /com,************* nsel,,node,,290,306 d,all,all allsel d,230,rotx,,,,,roty,rotz d,243,rotx,,,,,roty,rotz d,230,sect,0 d,243,sect,0 allsel,all,all finish

/com,---------------------------------------------------------------------------/com /com,============== /com, Modal solve /com,============== /com, /solution antype,modal ! Perform Modal Analysis modopt,lanb,maxm lumpm,on ! Use Lumped Mass Approximation mxpand,maxm,,,yes ! Expand solution with Element Calculations ON solve finish /post1 set,list ! Frequencies obtained from Modal solve /show,jpeg /eshape,5 /efacet,2 /view,1,1,2,3 /ang,1 /auto,1 /graphics,power eplot /replot set,1,1 plnsol,u,sum set,1,2 plnsol,u,sum set,1,3 plnsol,u,sum set,1,4 plnsol,u,sum set,1,5


2927

NRC Piping Benchmarks Input Listings plnsol,u,sum set,1,6 plnsol,u,sum set,1,7 plnsol,u,sum set,1,8 plnsol,u,sum set,1,9 plnsol,u,sum set,1,10 plnsol,u,sum set,1,11 plnsol,u,sum set,1,12 plnsol,u,sum set,1,13 plnsol,u,sum set,1,14 plnsol,u,sum set,1,15 plnsol,u,sum finish

/com,---------------------------------------------------------------------------/com, /com,================== /com, Spectrum solve /com,================== /com, /solution antype,spectrum ! Perform Spectrum Analysis spopt,sprs,15 ! Single Point Excitation Response Spectrum srss,0.0 ! SRSS mode combination gval = 386.4 svtyp, 2, gval ! Seismic Acceleration Response Loading freq, 2.5 , 5.0 , 8.0, 12.35, 13.51, 16.95, 20.83, 23.25, sv,, 2.275, 2.275, 1.0, 0.8, 0.925, 0.925, 0.8 , 1.0 , freq, 34.48 sv,, 0.875 sed,1,0,0 ! Excitation in X direction SOLVE svtyp, 2, gval ! Seismic Acceleration Response Loading freq freq, 2.5 , 5.0 , 8.0, 12.35, 13.51, 16.95, 20.83, 23.25, sv,, 1.517, 1.517, 0.667, 0.534, 0.617, 0.617, 0.534, 0.667, freq, 34.48 sv,, 0.584 sed,0,1,0 ! Excitation in Y direction SOLVE fini

29.41 1.0

29.41 0.667

/com,---------------------------------------------------------------------------/post1 /input,289-290,mcom /com, *======================================================== /com, * Displacement Sum and Equivalent Stress /com, *========================================================== /auto,1 plnsol,u,sum *get,umax,plnsol,0,max *get,umin,plnsol,0,min plnsol,s,eqv *get,smax,plnsol,0,max

2928


demonstration-problem3-281 Input Listing *get,smin,plnsol,0,min /show,close *stat,umax *stat,umin *stat,smax *stat,smin finish /exit,nosave

demonstration-problem3-281 Input Listing /batch,list /verify,demonstration_problem3_281 JPGPRF,500,100,1 /title,Piping model meshed with SHELL281 elements /filname,281 /prep7 YoungModulus1 = .258e+8 Nu = 0.3 ShearModulus1 = YoungModulus1/(2*(1+Nu)) WMass = 1.042868e-03

! Young's Modulus !Poissons ratio !Shear Modulus !Density

WTick=0.216 OD=3.5

!Wall Thickness ! Outer Diameter


!Radius curvature ! Temperature

out_rad = OD/2

! Outer Radius

in_rad = OD/2 - WTick hf_thick = WTick/2

! Inner Radius ! Half Thicknes

midd = in_rad + hf_thick et,1,shell281

! SHELL281 elements

sectype,1,shell secdata,WTick,1,0,3

! Shell Section Definition



et,8,conta175 keyopt,8,2,2 keyopt,8,4,2 keyopt,8,12,6

! Contact175 element ! Multipoint Constraint ! Contact normal direction ! Bonded

et,9,targe170 keyopt,9,2,1

! Target170 element ! Boundary conditions for target nodes

r,3,0.2e+8 r,4,0.2e+8

! Stiffness ! Stiffness


2929

NRC Piping Benchmarks Input Listings r,5,0.2e+8 r,6,0.2e+5 r,7,0.2e+5

! Stiffness ! Stiffness ! Stiffness

/com, /com, Material Properties /com,********************* mp,ex,1,YoungModulus1 mp,nuxy,1,Nu mp,gxy,1,ShearModulus1 mp,dens,1,WMass

/com, Keypoints /com,*********** k,1,0,0,0 k,2,0,12,0 k,3,35.687,60,32.110 k,4,55,60,49.5 k,5,74.329,60,66.882 k,6,110,12,99 k,7,110,0,99 k,8,110,-24,99, k,9,110,-48,99, k,10,110,-72,99 k,11,110,-96,99 k,12,110,-120,99 k,13,110,-144,99 k,14,110,-168,99 k,15,110,-198,99 k,16,110,-228,99 k,17,110,-252,99 k,18,110,-276,99 k,19,110,-300,99 k,20,110,-324,99 k,21,99.6,-349.4,99 k,22,89.2,-374.8,99 k,23,78.8,-400,99 k,24,68.4,-425.6,99 k,25,58,-451,99 k,26,58,-475,99 k,27,58,-487,99 k,28,103.537,-535,114.179 k,29,124.269,-535,121.1 k,30,145,-535,128 k,31,184.975,-535,123.615 k,32,214.8,-536,102.8 k,33,254.585,-535,81.849 k,34,279.312,-535,75 k,35,331,-535,75 k,36,383,-535,75 /com, /com, Elastic support Keypoints /com,*************************** k,37,10,0,0 k,38,0,10,0 k,39,0,0,10 k,40,55,70,49.5 k,41,110,0,109 k,42,120,0,99 k,43,110,-168,109 k,44,120,-168,109 k,45,110,-324,109 k,46,120,-324,99 k,47,58,-475,109 k,48,68,-475,99 k,49,103.537,-545,114.179

2930


demonstration-problem3-281 Input Listing k,50,103.537,-535,104.179 k,51,393,-535,75 k,52,383,-545,75 k,53,383,-535,85

/com, /com, Forming the area /com, ************************* k,101,midd,0,0 k,102,0,0,midd k,103,-midd,0,0 k,104,0,0,-midd larc,101,102,1,midd larc,102,103,1,midd larc,103,104,1,midd larc,104,101,1,midd lsel,s,line,,1,4,1 lesize,all,,,12 lsel,all l,1,2,2 adrag,1,2,3,4,,,5 larc,2,3,4,RADCUR adrag,6,13,11,9,,,14 l,3,4 adrag,18,15,22,20,,,23 l,4,5 adrag,24,31,29,27,,,32 larc,5,6,4,RADCUR adrag,33,40,38,36,,,41 l,6,7 adrag,42,45,47,49,,,50 l,7,8 adrag,51,54,56,58,,,59 l,8,9 adrag,60,63,65,67,,,68 l,9,10 adrag,69,72,74,76,,,77

l,10,11 adrag,78,81,83,85,,,86 l,11,12 adrag,87,90,92,94,,,95 l,12,13 adrag,96,99,101,103,,,104


2931


l,13,14 adrag,105,108,110,112,,,113 l,14,15 adrag,114,117,119,121,,,122 l,15,16 adrag,123,126,128,130,,,131 /com, *************************************** l,16,17 adrag,132,135,137,139,,,140 l,17,18 adrag,141,144,146,148,,,149 l,18,19 adrag,150,153,155,157,,,158 l,19,20 adrag,159,162,164,166,,,167 l,20,21 adrag,168,171,173,175,,,176 l,21,22 adrag,177,180,182,184,,,185 l,22,23 adrag,186,189,191,193,,,194 l,23,24 adrag,195,198,200,202,,,203 l,24,25 adrag,204,207,209,211,,,212 l,25,26 adrag,213,216,218,220,,,221 l,26,27 adrag,222,225,227,229,,,230 larch,27,28,26,RADCUR adrag,231,234,236,238,,,239 l,28,29 adrag,240,243,245,247,,,248 l,29,30 adrag,249,252,254,256,,,257 larch,30,31,29,RADCUR

2932



adrag,258,261,263,265,,,266 l,31,32 adrag,267,270,272,274,,,275 l,32,33 adrag,276,279,281,283,,,284

larch,33,34,32,RADCUR

! line number 35

adrag,285,288,290,292,,,293 l,34,35 adrag,294,297,299,301,,,302 l,35,36 adrag,303,306,308,310,,,311 allsel,all lesize,all,,,10

/com, /com, Meshing the area /com, *************************** type,1 mat,1 secnum,1 shpp,off amap,1,54,55,101,102 amap,2,55,56,102,103 amap,3,56,57,103,104 amap,4,54,57,101,104 amap,5,54,55,58,59 amap,6,55,56,59,60 amap,7,56,57,60,61 amap,8,54,57,58,61 amap,9,59,60,62,63 amap,10,60,61,63,64 amap,11,58,61,64,65 amap,12,58,59,62,65 amap,13,62,63,66,67 amap,14,63,64,67,68 amap,15,64,65,68,69 amap,16,62,65,66,69 amap,17,66,67,70,71 amap,18,67,68,71,72 amap,19,68,69,72,73 amap,20,66,69,70,73 amap,21,70,71,74,75 amap,22,71,72,75,76 amap,23,72,73,76,77 amap,24,70,73,74,77 amap,25,74,75,78,79 amap,26,75,76,79,80 amap,27,76,77,80,81 amap,28,74,77,78,81 amap,29,78,79,82,83 amap,30,79,80,83,84 amap,31,80,81,84,85 amap,32,78,81,82,85 amap,33,82,83,86,87


2933

NRC Piping Benchmarks Input Listings amap,34,83,84,87,88 amap,35,84,85,88,89 amap,36,82,85,86,89 amap,37,86,87,90,91 amap,38,87,88,91,92 amap,39,88,89,92,93 amap,40,86,89,90,93 amap,41,90,91,94,95 amap,42,91,92,95,96 amap,43,92,93,96,97 amap,44,90,93,94,97 amap,45,94,95,98,99 amap,46,95,96,99,100 amap,47,96,97,100,105 amap,48,94,97,98,105 amap,49,98,99,106,107 amap,50,99,100,107,108 amap,51,100,105,108,109 amap,52,98,105,106,109 amap,53,106,107,110,111 amap,54,107,108,111,112 amap,55,108,109,112,113 amap,56,106,109,110,113 amap,57,110,111,114,115 amap,58,111,112,115,116 amap,59,112,113,116,117 amap,60,110,113,114,117 amap,61,114,115,118,119 amap,62,115,116,119,120 amap,63,116,117,120,121 amap,64,114,117,118,121 amap,65,118,119,122,123 amap,66,119,120,123,124 amap,67,120,121,124,125 amap,68,118,121,122,125 amap,69,122,123,126,127 amap,70,123,124,127,128 amap,71,124,125,128,129 amap,72,122,125,126,129 amap,73,126,127,130,131 amap,74,127,128,131,132 amap,75,128,129,132,133 amap,76,126,129,130,133 amap,77,130,131,134,135 amap,78,131,132,135,136 amap,79,132,133,136,137 amap,80,130,133,134,137 amap,81,134,135,138,139 amap,82,135,136,139,140 amap,83,136,137,140,141 amap,84,134,137,138,141 amap,85,138,139,142,143 amap,86,139,140,143,144 amap,87,140,141,144,145 amap,88,138,141,142,145 amap,89,142,143,146,147 amap,90,143,144,147,148 amap,91,144,145,148,149 amap,92,142,145,146,149 amap,93,146,147,150,151 amap,94,147,148,151,152 amap,95,148,149,152,153 amap,96,146,149,150,153 amap,97,150,151,154,155 amap,98,151,152,155,156 amap,99,152,153,156,157 amap,100,150,153,154,157

amap,101,154,155,158,159 amap,102,155,156,159,160

2934


demonstration-problem3-281 Input Listing amap,103,156,157,160,161 amap,104,154,157,158,161 amap,105,158,159,162,163 amap,106,159,160,163,164 amap,107,160,161,164,165 amap,108,158,161,162,165 amap,109,162,163,166,167 amap,110,163,164,167,168 amap,111,164,165,168,169 amap,112,162,165,166,169 amap,113,166,167,170,171 amap,114,167,168,171,172 amap,115,168,169,172,173 amap,116,166,169,170,173 amap,117,170,171,174,175 amap,118,171,172,175,176 amap,119,172,173,176,177 amap,120,170,173,174,177

amap,121,174,175,178,179 amap,122,175,176,179,180 amap,123,176,177,180,181 amap,124,174,177,178,181 amap,125,178,179,182,183 amap,126,179,180,183,184 amap,127,180,181,184,185 amap,128,178,181,182,185 amap,129,182,183,186,187 amap,130,183,184,187,188 amap,131,184,185,188,189 amap,132,182,185,186,189 amap,133,186,187,190,191 amap,134,187,188,191,192 amap,135,188,189,192,193 amap,136,186,189,190,193 amap,137,190,191,194,195 amap,138,191,192,195,196 amap,139,192,193,196,197 amap,140,190,193,194,197 shpp,on /com, /com, Defining MPC contacts /com, **********************

/com, support at node 1 tshap,pilot n,1000000,0,0,0 type,9 real,9 e,1000000 type,8 real,9 lsel,s,line,,1,4,1 nsll,s,1 esln,s esurf allsel,all

/com,

support at end node

tshap,pilot n,1000001,383,-535,75 type,9 real,10


2935

NRC Piping Benchmarks Input Listings e,1000001 type,8 real,10 lsel,s,line,,312 lsel,a,line,,315 lsel,a,line,,317 lsel,a,line,,319 nsll,s,1 esln,s esurf allsel,all

/com,

support at key point 7

tshap,pilot n,1000002,110,0,99 type,9 real,11 e,1000002 type,8 real,11 lsel,s,line,,51 lsel,a,line,,54 lsel,a,line,,56 lsel,a,line,,58 nsll,s,1 esln,s esurf allsel,all

/com,


tshap,pilot n,1000003,110,-168,99 type,9 real,12 e,1000003 type,8 real,12 lsel,s,line,,114 lsel,a,line,,117 lsel,a,line,,119 lsel,a,line,,121 nsll,s,1 esln,s esurf allsel,all /com,


tshap,pilot n,1000004,110,-324,99 type,9 real,13 e,1000004 type,8 real,13 lsel,s,line,,168 lsel,a,line,,171 lsel,a,line,,173 lsel,a,line,,175 nsll,s,1 esln,s esurf allsel,all

2936


demonstration-problem3-281 Input Listing /com,


tshap,pilot n,1000005,58,-475,99 type,9 real,14 e,1000005 type,8 real,14 lsel,s,line,,222 lsel,a,line,,225 lsel,a,line,,227 lsel,a,line,,229 nsll,s,1 esln,s esurf allsel,all /com,


tshap,pilot n,1000006,103.537,-535,114.179 type,9 real,15 e,1000006 type,8 real,15 lsel,s,line,,240 lsel,a,line,,243 lsel,a,line,,245 lsel,a,line,,247 nsll,s,1 esln,s esurf allsel,all

/com,


tshap,pilot n,1000007,55,60,49.5 type,9 real,16 e,1000007 type,8 real,16 lsel,s,line,,24 lsel,a,line,,31 lsel,a,line,,29 lsel,a,line,,27 nsll,s,1 esln,s esurf allsel,all /com, Nodes for elastic support /com, ****************************** n,2000000,2,0,0 n,2000001,0,2,0 n,2000002,0,0,2 n,2000003,55,62,49.5 n,2000004,110,0,101 n,2000005,112,0,99 n,2000006,110,-168,101


2937


n,2000007,112,-168,101 n,2000008,110,-324,101 n,2000009,112,-324,99 n,2000010,58,-475,101 n,2000011,60,-475,99 n,2000012,103.537,-537,114.179 n,2000013,103.537,-535,112.179 n,2000014,385,-535,75 n,2000015,383,-537,75 n,2000016,383,-535,77 /com, **************************** /com, Spring - damper elements /com, ****************************** type,3 real,3 e,1000000,2000000 e,1000001,2000014 e,1000007,2000003 e,1000002,2000004 e,1000005,2000010 e,1000006,2000012 allsel,all,all type,4 real,4 e,1000000,2000001 e,1000001,2000015 e,1000002,2000005 e,1000005,2000011 e,1000006,2000013 allsel,all,all type,5 real,5 e,1000000,2000002 e,1000001,2000016 allsel,all,all type,6 real,6 e,1000003,2000006 e,1000004,2000008 allsel,all,all type,7 real,7 e,1000003,2000007 e,1000004,2000009 allsel,all,all

2938



/com, rotate nodes with less than 3 supports /com, n,3000000,35.687,60,32.110 n1 = 1000007 n2 = 2000003 n3 = 3000000 ics = 11 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 csys,0

n1 = 1000002 n2 = 2000004 n3 = 2000005 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0

n1 = 1000003 n2 = 2000006 n3 = 2000007 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 n1 = 1000004 n2 = 2000008 n3 = 2000009 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 n1 = 1000005 n2 = 2000010 n3 = 2000011 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0 n1 = 1000006 n2 = 2000012 n3 = 2000013 ics = ics + 1 wplane,,nx(n1),ny(n1),nz(n1),nx(n2),ny(n2),nz(n2),nx(n3),ny(n3),nz(n3) cswplane,ics,0 nrotat,n1 nrotat,n2 nrotat,n3 csys,0


2939


allsel,all,all

/com, /com, Constraints /com,************* nsel,,node,,2000000,2000016 d,all,all allsel nsel,s,node,,1000000 d,all,rotx,0 d,all,roty,0 d,all,rotz,0 allsel,all nsel,s,node,,1000001 d,all,rotx,0 d,all,roty,0 d,all,rotz,0 allsel,all finish /com,---------------------------------------------------------------------------/com /com,============== /com, Modal solve /com,============== /com, /solution antype,modal ! Perform ModalAnalysis modopt,lanb,maxm ! Use LANB eigensolver lumpm,on ! Use Lumped Mass Approximation mxpand,maxm,,,yes ! Expand all modes solve finish /post1 set,list ! List Frequencies obtained from Modal Solve /show,jpeg /eshape,0 /efacet,2 /view,1,1,2,3 /ang,1 /auto,1 /graphics,power eplot /replot set,1,1 plnsol,u,sum set,1,2 plnsol,u,sum set,1,3 plnsol,u,sum set,1,4 plnsol,u,sum set,1,5 plnsol,u,sum set,1,6 plnsol,u,sum set,1,7 plnsol,u,sum set,1,8 plnsol,u,sum

2940


demonstration-problem3-281 Input Listing set,1,9 plnsol,u,sum set,1,10 plnsol,u,sum set,1,11 plnsol,u,sum set,1,12 plnsol,u,sum set,1,13 plnsol,u,sum set,1,14 plnsol,u,sum set,1,15 plnsol,u,sum finish

/com,-------------------------------------------------------------------------/com, /com,================== /com, Spectrum solve /com,================== /com, /solution antype,spectrum ! Perform Spectrum Analysis spopt,sprs,15 ! Single Point Response Spectrum Analysis srss,0.0 ! SRSS mode combination gval = 386.4 svtyp, 2, gval ! Seismic Acceleration Response Loading freq, 2.5 , 5.0 , 8.0, 12.35, 13.51, 16.95, 20.83, sv,, 2.275, 2.275, 1.0, 0.8, 0.925, 0.925, 0.8 , freq, 34.48 sv,, 0.875 sed,1,0,0 ! Excitation in X direction solve

23.25, 1.0 ,

svtyp, 2, gval ! Seismic Acceleration Response Loading freq freq, 2.5 , 5.0 , 8.0, 12.35, 13.51, 16.95, 20.83, 23.25, sv,, 1.517, 1.517, 0.667, 0.534, 0.617, 0.617, 0.534, 0.667, freq, 34.48 sv,, 0.584 sed,0,1,0 ! Excitation in Y direction SOLVE finish

29.41 1.0

29.41 0.667

/com,---------------------------------------------------------------------------/post1 /input,281,mcom /com, *======================================================== /com, * Displacement Sum and Equivalent Stress /com, *========================================================== /auto,1 plnsol,u,sum *get,umax,plnsol,0,max *get,umin,plnsol,0,min plnsol,s,eqv *get,smax,plnsol,0,max *get,smin,plnsol,0,min /show,close *stat,umax *stat,umin *stat,smax *stat,smin finish


2941

NRC Piping Benchmarks Input Listings /exit,nosave

demonstration-problem3-16-18 Input Listing /batch,list /verify,demonstration_problem3_16_18 JPGPRF,500,100,1 /title,Piping model meshed with PIPE16 and PIPE18 elements /filname,16-18 /PREP7 YoungModulus1 = .258e+8 Nu = 0.3 ShearModulus1 = YoungModulus1/(2*(1+Nu)) WMass=1.042868e-03 WTick=0.216 OD=3.5 RADCUR=48.003 temp=60 maxm=15

et,1,pipe16 et,2,pipe18 et,3,combin14 keyopt,3,2,1 et,4,combin14, keyopt,4,2,2 et,5,combin14 keyopt,5,2,3 et,6,combin14 keyopt,6,2,1 et,7,combin14 keyopt,7,2,2

! ! ! ! ! ! ! ! !


! Straight pipe elements ! Curved pipe elements ! Spring-damper elements ! UX Degree Of Freedom ! Spring-damper elements ! UY Degree Of Freedom ! Spring-damper elements ! UZ Degree Of Freedom ! Spring-damper elements ! UX Degree Of Freedom ! Spring-damper elements ! UY Degree Of Freedom

/com, /com, Real Constants /com,**************** r,1,OD,WTick r,2,OD,WTick,RADCUR r,3,0.2e+8 r,4,0.2e+8 r,5,0.2e+8 r,6,0.2e+5 r,7,0.2e+5

! ! ! ! !


/com,---------------------------------------------------------------------------/com, /com, Material Properties /com,********************* mp,ex,1,YoungModulus1 mp,nuxy,1,Nu mp,gxy,1,ShearModulus1 mp,dens,1,WMass mp,ex,2,YoungModulus1 mp,nuxy,2,Nu mp,gxy,2,ShearModulus1 mp,dens,2,WMass /com,---------------------------------------------------------------------------/com, Nodes /com,********

2942


demonstration-problem3-16-18 Input Listing

n,1,0,0,0 n,2,0,12,0 n,3,35.687,60,32.110 n,4,55,60,49.5 n,5,74.329,60,66.882 n,6,110,12,99 n,7,110,0,99 n,8,110,-24,99, n,9,110,-48,99, n,10,110,-72,99 n,11,110,-96,99 n,12,110,-120,99 n,13,110,-144,99 n,14,110,-168,99 n,15,110,-198,99 n,16,110,-228,99 n,17,110,-252,99 n,18,110,-276,99 n,19,110,-300,99 n,20,110,-324,99 n,21,99.6,-349.4,99 n,22,89.2,-374.8,99 n,23,78.8,-400,99 n,24,68.4,-425.6,99 n,25,58,-451,99 n,26,58,-475,99 n,27,58,-487,99 n,28,103.537,-535,114.179 n,29,124.269,-535,121.1 n,30,145,-535,128 n,31,184.975,-535,123.615 n,32,214.8,-536,102.8 n,33,254.585,-535,81.849 n,34,279.312,-535,75 n,35,331,-535,75 n,36,383,-535,75 /com, /com, Elastic support Nodes /com,*********************** n,37,10,0,0 n,38,0,10,0 n,39,0,0,10 n,40,55,70,49.5 n,41,110,0,109 n,42,120,0,99 n,43,110,-168,109 n,44,120,-168,109 n,45,110,-324,109 n,46,120,-324,99 n,47,58,-475,109 n,48,68,-475,99 n,49,103.537,-545,114.179 n,50,103.537,-535,104.179 n,51,393,-535,75 n,52,383,-545,75 n,53,383,-535,85 /com,---------------------------------------------------------------------------/com, /com, Straight Pipe (Tangent) Elements /com,********************************** mat,1 type,1 real,1


e, 1, 2 e, 3, 4


2943

NRC Piping Benchmarks Input Listings e, 4, 5 e, 6, 7 e, 7, 8 e, 8, 9 e, 9,10 e,10,11 e,11,12 e,12,13 e,13,14 e,14,15 e,15,16 e,16,17 e,17,18 e,18,19 e,19,20 e,20,21 e,21,22 e,22,23 e,23,24 e,24,25 e,25,26 e,26,27 e,28,29 e,29,30 e,31,32 e,32,33 e,34,35 e,35,36 /com, /com, Pipe Bend Elements /com,******************** mat,2 type,2 real,2 e,2,3,4 e,5,6,4 e,27,28,26 e,30,31,29 e,33,34,32

/com, Elastic supports and anchors /com,****************************** /com, rotate nodes with less than 3 supports /com, wplane,,nx(4),ny(4),nz(4),nx(40),ny(40),nz(40),nx(3),ny(3),nz(3) cswplane,11,0 nrotat,4 nrotat,40 csys,0 wplane,,nx(7),ny(7),nz(7),nx(41),ny(41),nz(41),nx(42),ny(42),nz(42) cswplane,12,0 nrotat,7 nrotat,41,42 csys,0 wplane,,nx(14),ny(14),nz(14),nx(43),ny(43),nz(43),nx(44),ny(44),nz(44) cswplane,13,0 nrotat,14 nrotat,43,44 csys,0 wplane,,nx(20),ny(20),nz(20),nx(45),ny(45),nz(45),nx(46),ny(46),nz(46) cswplane,14,0 nrotat,20 nrotat,45,46

2944


demonstration-problem3-16-18 Input Listing csys,0 wplane,,nx(26),ny(26),nz(26),nx(47),ny(47),nz(47),nx(48),ny(48),nz(48) cswplane,15,0 nrotat,26 nrotat,47,48 csys,0 wplane,,nx(28),ny(28),nz(28),nx(49),ny(49),nz(49),nx(50),ny(50),nz(50) cswplane,16,0 nrotat,28 nrotat,49,50 csys,0 type,3 real,3 e,1,37 e,36,51 e,4,40 e,7,41 e,26,47 e,28,49 type,4 real,4 e,1,38 e,36,52 e,7,42 e,26,48 e,28,50 type,5 real,5 e,1,39 e,36,53 type,6 real,6 e,14,43 e,20,45 type,7 real,7 e,14,44 e,20,46 /com,---------------------------------------------------------------------------/com, /com, Constraints /com,************* nsel,,node,,37,53 d,all,all allsel d,1,rotx,,,,,roty,rotz d,36,rotx,,,,,roty,rotz allsel,all fini /com,---------------------------------------------------------------------------/com /com,============== /com, Modal solve /com,============== /com, /solution antype,modal modopt,lanb,maxm

! Perform Modal Analysis


2945

NRC Piping Benchmarks Input Listings lumpm,on ! Use Lumped Mass Approximation mxpand,maxm,,,yes ! Expand solution with Element Calculations ON solve finish

/post1 set,list ! Frequencies obtained from Modal Solution /show,jpeg /eshape,5 /efacet,2 /view,1,1,2,3 /ang,1 /auto,1 /graphics,power eplot /replot set,1,1 plnsol,u,sum set,1,2 plnsol,u,sum set,1,3 plnsol,u,sum set,1,4 plnsol,u,sum set,1,5 plnsol,u,sum set,1,6 plnsol,u,sum set,1,7 plnsol,u,sum set,1,8 plnsol,u,sum set,1,9 plnsol,u,sum set,1,10 plnsol,u,sum set,1,11 plnsol,u,sum set,1,12 plnsol,u,sum set,1,13 plnsol,u,sum set,1,14 plnsol,u,sum set,1,15 plnsol,u,sum finish

/com,---------------------------------------------------------------------------/com, /com,================== /com, Spectrum solve /com,================== /com, /solution antype,spectrum ! Perform Spectrum Analysis spopt,sprs,15 ! Single Point Excitation Response Spectrum srss,0.0 ! SRSS mode combination gval = 386.4 svtyp, 2, gval ! Seismic Acceleration Response Loading freq, 2.5 , 5.0 , 8.0, 12.35, 13.51, 16.95, 20.83, 23.25, sv,, 2.275, 2.275, 1.0, 0.8, 0.925, 0.925, 0.8 , 1.0 , freq, 34.48 sv,, 0.875 sed,1,0,0 ! Excitation in X direction SOLVE

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29.41 1.0


demonstration-problem3-16-18 Input Listing

svtyp, 2, gval ! Seismic Acceleration Response Loading freq freq, 2.5 , 5.0 , 8.0, 12.35, 13.51, 16.95, 20.83, 23.25, sv,, 1.517, 1.517, 0.667, 0.534, 0.617, 0.617, 0.534, 0.667, freq, 34.48 sv,, 0.584 sed,0,1,0 ! Excitation in Y direction SOLVE fini

29.41 0.667

/com,---------------------------------------------------------------------------/post1 avprin,,0.3 /input16-18,,mcom /com, *======================================================== /com, * Displacements Sum and Equivalent Stress /com, *========================================================== /auto,1 plnsol,u,sum *get,umax,plnsol,0,max *get,umin,plnsol,0,min plnsol,s,eqv *get,smax,plnsol,0,max *get,smin,plnsol,0,min /show,close *stat,umax *stat,umin *stat,smax *stat,smin finish /exit,nosave


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ANSYS Mechanical APDL Verification Manual

ANSYS Mechanical APDL Verification Manual

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