Modeling and numerical simulation of a grand piano.

Juliette Chabassier 1 Patrick Joly 1
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : We consider a complete model of a piano which accounts for the acoustical behavior of the instrument from excitation to soundand, and we propose a numerical discretisation. The model is described as well as the numerical methods used for its discretisation. Nonlinearities and couplings are treated in such a way that energy techniques ensure numerical stability. Numerical results are presented and compared to measurements.
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Juliette Chabassier, Patrick Joly. Modeling and numerical simulation of a grand piano.. WAVES 11 : 10th International Conference on Mathematical and Numerical Aspects of Wawes, Jul 2011, Vancouver, Canada. pp.00. ⟨hal-00688966⟩



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