Numerical simulation of a guitar

Eliane Bécache; Antoine Chaigne; Gregoire Derveaux; Patrick Joly

doi:10.1016/j.compstruc.2004.04.018

Numerical simulation of a guitar

Eliane Bécache
, Antoine Chaigne
, Gregoire Derveaux
, Patrick Joly

INRIA Institut National de Recherche en Informatique et en Automatique
Stanford University

Research output: Contribution to journal › Article › peer-review

Abstract

The purpose of this study is to present a time-domain numerical modeling of the guitar. The model involves the transverse displacement of the string excited by a force pulse, the flexural motion of the soundboard and the sound radiation in the air. We use a specific spectral method for solving the Kirchhoff-Love's dynamic plate model for orthotropic material, a fictitious domain method for solving the fluid-structure interaction and a conservative scheme for the time discretization. One of the originality of the proposed scheme is a stable coupling method between a continuous time resolution and a discrete one.

Original language	English
Pages (from-to)	107-126
Number of pages	20
Journal	Computers and Structures
Volume	83
Issue number	2-3
DOIs	https://doi.org/10.1016/j.compstruc.2004.04.018
Publication status	Published - 1 Jan 2005

Keywords

Energy method
Fictitious domain method
Fluid-structure interaction
Kirchhoff-Love's plate model
Mixed finite elements
Spectral method
Stability analysis

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10.1016/j.compstruc.2004.04.018

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title = "Numerical simulation of a guitar",

abstract = "The purpose of this study is to present a time-domain numerical modeling of the guitar. The model involves the transverse displacement of the string excited by a force pulse, the flexural motion of the soundboard and the sound radiation in the air. We use a specific spectral method for solving the Kirchhoff-Love's dynamic plate model for orthotropic material, a fictitious domain method for solving the fluid-structure interaction and a conservative scheme for the time discretization. One of the originality of the proposed scheme is a stable coupling method between a continuous time resolution and a discrete one.",

keywords = "Energy method, Fictitious domain method, Fluid-structure interaction, Kirchhoff-Love's plate model, Mixed finite elements, Spectral method, Stability analysis",

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T1 - Numerical simulation of a guitar

AU - Bécache, Eliane

AU - Chaigne, Antoine

AU - Derveaux, Gregoire

AU - Joly, Patrick

PY - 2005/1/1

Y1 - 2005/1/1

N2 - The purpose of this study is to present a time-domain numerical modeling of the guitar. The model involves the transverse displacement of the string excited by a force pulse, the flexural motion of the soundboard and the sound radiation in the air. We use a specific spectral method for solving the Kirchhoff-Love's dynamic plate model for orthotropic material, a fictitious domain method for solving the fluid-structure interaction and a conservative scheme for the time discretization. One of the originality of the proposed scheme is a stable coupling method between a continuous time resolution and a discrete one.

AB - The purpose of this study is to present a time-domain numerical modeling of the guitar. The model involves the transverse displacement of the string excited by a force pulse, the flexural motion of the soundboard and the sound radiation in the air. We use a specific spectral method for solving the Kirchhoff-Love's dynamic plate model for orthotropic material, a fictitious domain method for solving the fluid-structure interaction and a conservative scheme for the time discretization. One of the originality of the proposed scheme is a stable coupling method between a continuous time resolution and a discrete one.

KW - Energy method

KW - Fictitious domain method

KW - Fluid-structure interaction

KW - Kirchhoff-Love's plate model

KW - Mixed finite elements

KW - Spectral method

KW - Stability analysis

U2 - 10.1016/j.compstruc.2004.04.018

DO - 10.1016/j.compstruc.2004.04.018

M3 - Article

AN - SCOPUS:30344483606

SN - 0045-7949

VL - 83

SP - 107

EP - 126

JO - Computers and Structures

JF - Computers and Structures

IS - 2-3

ER -

Numerical simulation of a guitar

Abstract

Keywords

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