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

Michele Ducceschi; Cyril Touzé

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

Michele Ducceschi
, Cyril Touzé

University of Edinburgh

Résultats de recherche: Contribution à une conférence › Papier › Revue par des pairs

Résumé

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.

langue originale	Anglais
état	Publié - 1 janv. 2015
Evénement	18th International Conference on Digital Audio Effects, DAFx 2015 - Trondheim, Norvcge Durée: 30 nov. 2015 → 3 déc. 2015

Une conférence

Une conférence	18th International Conference on Digital Audio Effects, DAFx 2015
Pays/Territoire	Norvcge
La ville	Trondheim
période	30/11/15 → 3/12/15

Contient cette citation

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title = "Simulations of nonlinear plate dynamics: An accurate and efficient modal algorithm",

abstract = "This paper presents simulations of nonlinear plate vibrations in relation to sound synthesis of gongs and cymbals. The von K{\'a}rm{\'a}n 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.",

author = "Michele Ducceschi and Cyril Touz{\'e}",

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AU - Ducceschi, Michele

AU - Touzé, Cyril

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N2 - 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.

AB - 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.

M3 - Paper

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Y2 - 30 November 2015 through 3 December 2015

ER -

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

Résumé

Une conférence

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