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

Research output: Contribution to conference › Paper › peer-review

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 language	English
Publication status	Published - 1 Jan 2015
Event	18th International Conference on Digital Audio Effects, DAFx 2015 - Trondheim, Norway Duration: 30 Nov 2015 → 3 Dec 2015

Conference

Conference	18th International Conference on Digital Audio Effects, DAFx 2015
Country/Territory	Norway
City	Trondheim
Period	30/11/15 → 3/12/15

Cite this

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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}",

year = "2015",

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language = "English",

note = "18th International Conference on Digital Audio Effects, DAFx 2015 ; Conference date: 30-11-2015 Through 03-12-2015",

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T2 - 18th International Conference on Digital Audio Effects, DAFx 2015

AU - Ducceschi, Michele

AU - Touzé, Cyril

PY - 2015/1/1

Y1 - 2015/1/1

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.

UR - https://www.scopus.com/pages/publications/85030148403

M3 - Paper

AN - SCOPUS:85030148403

Y2 - 30 November 2015 through 3 December 2015

ER -

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

Abstract

Conference

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