Proposition of a Green-Volterra formalism to solve dynamics of a nonlinear stringReportar como inadecuado




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* Corresponding author 1 STMS - Sciences et Technologies de la Musique et du Son

Abstract : The convolution kernels of a Volterra series give a generalization of impulse responses to the case of weakly nonlinear input-to-output systems. In acoustics, this formalism has yet been used to solve, e.g. the problem of a nonlinear string excited by a force $ft$ considered as the input, spatially distributed by a time invariant function. In this paper, we propose a similar generalization for the case of Green functions in order to tackle inputs that depend on both the space and the time variables. The method to derive the -Green-Volterra- kernels is described and its application to the string is presented.

Keywords : Volterra series Green function nonlinear string





Autor: David Roze - Thomas Hélie

Fuente: https://hal.archives-ouvertes.fr/



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