Jan 1, 1994 - Abstract : A numerical model of vibrating bars is developed in order to investigate the behavior of mallet percussion instruments in the time ...
Numerical simulations of bar percussion instruments V. Doutaut, A. Chaigne
To cite this version: V. Doutaut, A. Chaigne. Numerical simulations of bar percussion instruments. Journal de Physique IV Colloque, 1994, 04 (C5), pp.C5-613-C5-616. .
HAL Id: jpa-00252808 https://hal.archives-ouvertes.fr/jpa-00252808 Submitted on 1 Jan 1994
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JOURNAL DE PHYSIQUE IV Colloque C5, suppl6ment au Journal de Physique 111, Volume 4, mai 1994
Numerical simulations of bar percussion instruments V. DOUTAUT and A. CHAIGNE GroupeAcoustique, D$artement Signal, URA 820 du CNRS, Tilicom Paris, 46 rue Bawault, 75634Paris cedex 13, France
Abstract :A numerical model of vibrating bars is developed in order to investigate the behavior of mallet percussion instruments in the time domain. This paper focuses on two major characteristics of such instruments : the nonlinear interaction between the bar and mallet, and the fine tuning of the bar. The latter feature is obtained by simulating a bar with variable section, by means of an implicit finite difference scheme. Simulated bar velocity waveforms and spectra are compared with measurements on real intruments. Auditory evaluation of the model is carried out for different bar materials, geometries, and conditions of impact.
Notations b bar width L bar length h bar thickness xo impact position y(x,t) bar displacement t(t) mallet displacement K Hertz's constant F(xo,t) interaction force P bar density
Young's modulus of the bar number of spatial steps spatial step initial mallet velocity sampling frequency viscoelastic constant reduced mass of bar and mallet = (x,, t ) - ( t ) (compression) "equivaIentWma let mass
Iy
