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Sound synthesis of a nonlinear string using Volterra series

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Titre

Sound synthesis of a nonlinear string using Volterra series
 

Nom(s)

Roze, David (auteur)
 
Helie, Thomas (auteur)
 

Publication

Madrid, Espagne , 2007
 

Description

Résumé

This paper proposes to solve and simulate various Kirchhoff models of nonlinear strings thanks to Volterra series. Two nonlinearities are studied : the string tension is supposed to depend either on the global elongation of the string, either on the local strain located at x. For each model, a Volterra series is used to represent the displacement as a functional of excitation forces. The Volterra kernels are solved in the Laplace domain thanks to a modal decomposition. As a last step, systematic identifications on these kernels lead to a structure in the time domain, which is composed of ”linear filters”, instantaneous sums and instantaneous products. Such a structure allows for sound synthesis thanks to standard signal processing techniques. The nonlinear dynamics introduced by this simulation is significant and perceptible on sounds for sufficiently large excitations.
 

Note(s)

Contribution au colloque ou congrès : International Congress on Acoustics
 

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Date de la notice

2010-02-25 01:00:00
 

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