Bifurcation analysis of a minimal model of a bowed string instrument - Archive ouverte HAL
Communication Dans Un Congrès Année : 2024

Bifurcation analysis of a minimal model of a bowed string instrument

Résumé

This study is concerned with a minimal model of a bowed string instrument, derived through a modal decomposition of the linear Kirchhoff-Carrier PDE with a Coulomb friction force that is subsequently regularized for the sake of numerical conditioning. A bifurcation analysis of the regularized model provides a cartography of the different sound regimes in the parameter space. These results are then compared with time-domain simulations of the unregularized Coulomb friction, to evaluate whether the regularized dynamics can converge to the unregularized dynamics.
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Dates et versions

hal-04673942 , version 1 (20-08-2024)

Identifiants

  • HAL Id : hal-04673942 , version 1

Citer

Marc Wijnand, Soizic Terrien, Frédéric Ablitzer, Sylvain Maugeais. Bifurcation analysis of a minimal model of a bowed string instrument. 11th European Nonlinear Dynamics Conference 2024 (ENOC 2024), Jul 2024, Delft, Netherlands. ⟨hal-04673942⟩
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