Nonlinear vibrations of thin plates with variable thickness: Application to sound synthesis of cymbals.

Clicks: 208
ID: 39457
2019
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Abstract
Geometrically nonlinear vibrations of thin plates and shells with variable thickness are investigated numerically with the purpose of synthesizing the sound of cymbals. In cymbal making, taper refers to the gradual change in thickness from the centre to the rim and is known to be a key feature that determines the tone of the instrument. It is generally used in conjunction with shape variations in order to enable the cymbal to play a bell-like sound when hit near its centre, or a crash sound when struck close to the edge. The von Kármán equations for thin plates with thickness and shape variations are derived, and a numerical method combining a Rayleigh-Ritz approach together with a Störmer-Verlet scheme for advancing the problem in time is detailed. One main advantage of the method is its ability to implement easily any frequency-dependent loss mechanism which is a key property for sound synthesis. Also, the accuracy of the computation of the nonlinear restoring force is especially preserved. The method is employed to synthesize the sounds of cymbal-like instruments. The impact of taper is addressed and the relative effects of both thickness and shape variations, are contrasted.
Reference Key
nguyen2019nonlinearthe Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Nguyen, Quoc Bao;Touzé, Cyril;
Journal the journal of the acoustical society of america
Year 2019
DOI
10.1121/1.5091013
URL
Keywords Keywords not found

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