%0 Conference Proceedings
%T Simulations of nonlinear plate dynamics: an accurate and efficient modal algorithm
%+ Acoustics and Audio Group
%+ Unité de Mécanique (UME)
%+ Institut des Sciences de la mécanique et Applications industrielles (IMSIA - UMR 9219)
%A Ducceschi, Michele
%A Touzé, Cyril
%< avec comité de lecture
%B 18th International Conference on Digital Audio Effects (DAFx-15)
%C Trondheim, Norway
%8 2015-11-30
%D 2015
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]
%Z Engineering Sciences [physics]/Acoustics [physics.class-ph]
%Z Engineering Sciences [physics]/Mechanics [physics.med-ph]/Vibrations [physics.class-ph]
%Z Mathematics [math]/Numerical Analysis [math.NA]Conference papers
%X 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.
%G English
%2 https://hal-ensta-paris.archives-ouvertes.fr/hal-01206438/document
%2 https://hal-ensta-paris.archives-ouvertes.fr/hal-01206438/file/DAFx2015_ducceschi.pdf
%L hal-01206438
%U https://hal-ensta-paris.archives-ouvertes.fr/hal-01206438
%~ CEA
%~ ENSTA
%~ CNRS
%~ INSMI
%~ ENSTA_UME
%~ CEA-UPSAY
%~ TDS-MACS
%~ UNIV-PARIS-SACLAY
%~ CEA-UPSAY-SACLAY
%~ ENSTA-SACLAY
%~ EDF