Simulation of mallet percussion instruments by a coupled modal vibroacoustic finite element model

Rucz, Péter and Ulveczki, Mihály Ádám and Angster, Judit and Miklós, András (2021) Simulation of mallet percussion instruments by a coupled modal vibroacoustic finite element model. Journal of the Acoustical Society of America, 149 (5). pp. 3200-3212. ISSN 0001-4966

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Abstract

A three-dimensional coupled vibroacoustic finite element model for physics-based simulations of sound generation by mallet percussion instruments in the time domain is discussed in the present paper. The mechanical model takes the orthotropic material properties of the wooden sound bars and the nonlinear nature of the interaction force between the mallet head and the sound bar into account while the acoustical model considers radiation into an unbounded domain. A direct coupling of the sound bars, acoustical cavity resonators, and the excitation by a mallet is considered with exploiting the modal basis to reduce the number of degrees of freedom of the system. Both the mechanical and the acoustical models are validated by comparing them to measurements performed on an Orff xylophone. A case study shows the capabilities of the coupled model, including the analysis of the energy balance, the effect of tuning the resonator, and the excitation of the torsional modes of the sound bar.

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