Simulations of nonlinear plate dynamics: An accurate and efficient modal algorithm

Michele Ducceschi, Cyril Touzé

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

Abstract

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

Original languageEnglish
Title of host publicationProceedings of the 18th International Conference on Digital Audio Effects
PublisherNorwegian University of Science and Technology
Publication statusPublished - 2015
Event18th International Conference on Digital Audio Effects, DAFx 2015 - Trondheim, Norway
Duration: 30 Nov 20153 Dec 2015

Conference

Conference18th International Conference on Digital Audio Effects, DAFx 2015
Country/TerritoryNorway
CityTrondheim
Period30/11/153/12/15

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