Finite element method for sound and structural vibration

Joël Bensoam (1, 2) , Nicolas Misdariis (1, 2) , Christophe Vergez (1, 2) , René Causse (1, 2)

1 Equipe Acoustique instrumentale
2 Equipe Perception et design sonores

The dynamic behavior of any elastic body under arbitrary boundary conditions is analyzed within the framework of the linear theory of elasticity. The Green formalism applied to continuum mechanics leads to integral solutions which incorporate directly the boundary conditions. We show that those solutions, after spatial sampling, are equivalent to those obtained with a finite element method.

Mots clés: sound synthesis; Boundary conditions; finite element method; Green formalism; integral formalism

Domaines: Acoustique [physics.class-ph]; Vibrations [physics.class-ph]; Acoustique [physics.class-ph]; Vibrations [physics.class-ph]; Mécanique des solides [physics.class-ph]; Mécanique des structures [physics.class-ph]; Musique, musicologie et arts de la scène; Son [cs.SD]; Informatique [cs]

Joël Bensoam, Nicolas Misdariis, Christophe Vergez, René Causse. Finite element method for sound and structural vibration : musical application with Modalys sound synthesis program based in modal representation. SCI : Systemics, Cybernetics & Informatics, 2001, Orlando, Floride, France. ⟨hal-01106943⟩