Modeling and numerical simulation of a grand piano.

Juliette Chabassier (1) , Patrick Joly (1)

1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation

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.

Domaines: Analyse numérique [math.NA]

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⟩