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%0 Conference Proceedings
%A Roze, David
%A Hélie, Thomas
%T Sound synthesis of a nonlinear string using Volterra series
%D 2007
%B International Congress on Acoustics
%C Madrid
%V 19
%P 1-6
%F Roze07a
%X 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.
%1 6
%2 3
%U http://articles.ircam.fr/textes/Roze07a/