Simulations of nonlinear plate dynamics: an accurate and efficient modal algorithmReport as inadecuate




Simulations of nonlinear plate dynamics: an accurate and efficient modal algorithm - Download this document for free, or read online. Document in PDF available to download.

1 Acoustics and Audio Group 2 ENSTA ParisTech UME - Unité de Mécanique 3 IMSIA - UMR 9219 - Institut des Sciences de la mécanique et Applications industrielles

Abstract : This paper presents simulations of nonlinear plate vibrations in relation to sound synthesis of gongs and cymbals. The von Kármánequations are shown and then solved in terms of the modes of theassociated linear system. The modal equations obtained constitutea system of nonlinearly coupled Ordinary Differential Equationswhich are completely general as long as the modes of the system are known. A simple second-order time-stepping integrationscheme yields an explicit resolution algorithm with a natural parallel structure. Examples are provided and the results discussed.





Author: Michele Ducceschi - Cyril Touzé -

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



DOWNLOAD PDF




Related documents