Nonlinear physical models of vibration and sound synthesis

David Roze (1) , Joël Bensoam (1)

1 Equipe Acoustique instrumentale

Sound production in musical instruments is the consequence of interactions and wave propagation that include nonlinear phenomena. Simulating these phenomena will enable sound synthesis softwares (such as Modalys, developed at IRCAM) to produce more realistic sounds. In order to do so, nonlinear physical models will be implemented in Modalys software using Green-Volterra kernels. Green-Volterra kernels are used to simulate space-time non-linear dynamical problems. This formalism allows to keep the modal approach and simulate nonlinear dynamics until a given order in the Green-Volterra series. This numerical method has been chosen in order to keep ”near real-time” computation time. Interactions solving requires to compute the inverse problem, i.e. compute a force using known displacement or velocity. Green-Volterra kernels of a nonlinear string model and interaction definition will be presented with associated numerical results.

Mots clés: sound synthesis; volterra series; interactions

Mots clés: Informatique musicale

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]

David Roze, Joël Bensoam. Nonlinear physical models of vibration and sound synthesis. Unfold Mechanics for Sounds and Music, Sep 2014, PARIS, France. pp.1-1. ⟨hal-01161074⟩