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Nonsmooth contact dynamics for the numerical simulation of collisions in musical string instruments

Abstract : Collisions in musical string instruments play a fundamental role in explaining the sound production in various instruments such as sitars, tanpuras and electric basses. Contacts occuring during the vibration provide a nonlinear effect which shapes a specific tone due to energy transfers and enriches the hearing experience. As such, they must be carefully simulated for the purpose of physically-based sound synthesis. Most of the numerical methods presented in the literature rely on a compliant modeling of the contact force between the string and the obstacle. In this contribution, numerical methods from nonsmooth contact dynamics are used to integrate the problem in time. A Moreau-Jean time-stepping scheme is combined with an exact scheme for phases with no contact, thus controlling the numerical dispersion. Results for a two-point bridge mimicking a tanpura and an electric bass are presented, showing the ability of the method to deal efficiently with such problems while invoking, as compared to a compliant approach, less modelling parameters and a reduced computational burden.
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https://hal-ensta-paris.archives-ouvertes.fr/hal-01806133
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Submitted on : Friday, June 15, 2018 - 10:35:28 AM
Last modification on : Tuesday, August 2, 2022 - 4:24:32 AM
Long-term archiving on: : Monday, September 17, 2018 - 4:20:33 PM

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Clara Issanchou, Vincent Acary, Franck Pérignon, Cyril Touzé, Jean-Loic Le Carrou. Nonsmooth contact dynamics for the numerical simulation of collisions in musical string instruments. Journal of the Acoustical Society of America, 2018, 143 (5), pp.1-13. ⟨10.1121/1.5039740⟩. ⟨hal-01806133v2⟩

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