Nonlinear plate vibrations: A modal approach with application to cymbals and gongs

Cyril Touze, Michele Duccheschi, Stefan Bilbao

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A von Karm´ an simply supported plate is considered. A general strategy is developed for the solution of the nonlin- ´
ear equations: the solution is expanded onto the linear normal modes for the displacement and stress function. To
this extent, a general numerical method is devised to deal with cases where no analytical solutions are available.
Description of the nonlinear coupling coefficients can then be done in terms of the linear eigenfunctions. The role
of these coefficients is shown to be involved in explaining the complicated dynamics of the plate in nonlinear free
oscillations. The current model is validated through comparison with other results in the literature and thanks to a
finite difference scheme.
Original languageEnglish
Title of host publicationProceedings of the Joint Meeting of the Société Française d'Acoustique and the Institute of Acoustics
Number of pages6
Publication statusPublished - 2012
EventAcoustics 12 - Nantes, France
Duration: 23 Apr 201227 Apr 2012

Conference

ConferenceAcoustics 12
Country/TerritoryFrance
CityNantes
Period23/04/1227/04/12

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