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Conference Papers Year : 2015

Guaranteed-passive simulation of an electro-mechanical piano: A port-Hamiltonian approach

Abstract

This paper deals with the time-domain simulation of a simplified electro-mechanical piano. The physical model is composed of a hammer (nonlinear component), a cantilever beam (damped linear resonator) and a pickup (nonlinear transducer). In order to ensure stable simulations, a method is proposed, which preserves passiv-ity, namely, the conservative and dissipative properties of the physical system. This issue is addressed in 3 steps. First, each physical component is described by a passive input-output system, which is recast in the port-Hamiltonian framework. In particular, a passive finite dimensional model of the Euler-Bernoulli beam is derived, based on a standard modal decomposition. Second, these components are connected, providing a nonlinear finite dimensional port-Hamiltonian system. Third, a numerical method is proposed, which preserves the power balance and passivity. Numerical results are presented and analyzed.
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Dates and versions

hal-01245613 , version 1 (17-12-2015)

Identifiers

  • HAL Id : hal-01245613 , version 1

Cite

Antoine Falaize, Thomas Hélie. Guaranteed-passive simulation of an electro-mechanical piano: A port-Hamiltonian approach. 18th Int. Conference on Digital Audio Effects (DAFx-15), Nov 2015, Trondheim, Norway. ⟨hal-01245613⟩
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