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

Antoine Falaize 1, 2, * Thomas Hélie 2, 1
* Auteur correspondant
1 Analyse et synthèse sonores [Paris]
STMS - Sciences et Technologies de la Musique et du Son
2 Equipe-Projet S3 (Systèmes et Signaux Sonores)
STMS - Sciences et Technologies de la Musique et du Son
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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Communication dans un congrès
18th Int. Conference on Digital Audio Effects (DAFx-15), Nov 2015, Trondheim, Norway. 2015, 〈http://www.ntnu.edu/web/dafx15/〉
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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. 2015, 〈http://www.ntnu.edu/web/dafx15/〉. 〈hal-01245613〉

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