Lecture 24: Finite element method: Beams and Frames

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Lecture 24: Finite element method: Beams and Frames

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Fundamental of Vibration. - 1 -. Lecture 24: Finite element method: Beams and Frames. Reading materials: Section 9.3. 1. Beam element. Nodal variables.

53/58:153 Lecture 24 Fundamental of Vibration ______________________________________________________________________________

Lecture 24: Finite element method: Beams and Frames Reading materials: Section 9.3

1. Beam element

Nodal variables Nodal loads: vertical loads and moments Nodal degree of freedom: vertical displacements and rotations

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Potential

Kinetic energy Kinetic energy due to the distributed mass

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Kinetic energy due to the concentrated masses at nodes

work done by external loads

work done by the distributed load

work done by the concentrated loads and moments

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Equations of motion

Example

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Element 1

Element 2

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Element 3

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Boundary conditions

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2. Plane Frame element

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