The simulation of piano string vibration: {F}rom physical models to finite difference schemes and digital waveguides

Julien Bensa, Stefan Bilbao, Richard Kronland Martinet, Julius Smith

Research output: Contribution to journalArticlepeer-review

Abstract

A model of transverse pianostring vibration, second order in time, which models frequency-dependent loss and dispersion effects is presented here. This model has many desirable properties, in particular that it can be written as a well-posed initial-boundary value problem (permitting stable finite difference schemes) and that it may be directly related to a digital waveguidemodel, a digital filter-based algorithm which can be used for musical sound synthesis. Techniques for the extraction of model parameters from experimental data over the full range of the grand piano are discussed, as is the link between the model parameters and the filter responses in a digital waveguide. Simulations are performed. Finally, the waveguidemodel is extended to the case of several coupled strings.
Original languageEnglish
Pages (from-to)1095-1107
Number of pages13
JournalThe Journal of the Acoustical Society of America
Volume114
Issue number2
DOIs
Publication statusPublished - 2003

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