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%0 Conference Proceedings
%A Bensoam, Joël
%A Misdariis, Nicolas
%A Vergez, Christophe
%A Caussé, René
%T Integral formalism and finite element method applied to sound synthesis by physical modeling
%D 2001
%B ICA : International Congress ofAcoustics
%C ICA : InternRome, Italie
%F Bensoam01c
%X To extend the possibilities of the sound synthesis software Modalys developed at Ircam (http://www.ircam.fr/) for musical applications and research, we analyze the dynamic behavior of any elastic body under arbitrary boundary conditions. The Green formalism applied to the continuum mechanics leads to integral solutions which incorporate directly the boundary conditions. These solutions are discretized by using the finite element method. Numerical calculation is done in two step. The first deals with calculating Green elementary tensors proper to each system by modal decomposition. These tensors represent the dynamic signature of the body and need to be calculated only once. The second part, much faster, is a convolution of this signature with the external influences applied on the structure.
%1 7
%2 3