Simulation of a non-smooth dynamical model of the piano key

Anders Thorin (1, 2) , Xavier Boutillon (1) , José Lozada (2) , Xavier Merlhiot (3) , Alain Micaelli (3)

1 LMS - Laboratoire de mécanique des solides
2 LIS - Laboratoire Interfaces Sensorielles
3 LSI - Laboratoire de Simulation Interactive

Following the literature, two kinds of models for the grand piano action are presented here: one single-degree-of-freedom model and one model based on 6 rotating bodies, 13 contact zones with nonlinear springs, 3 of them (hammer-jack, jack-escapement button, hammer-check) being also subject to Coulomb friction. The latter is simulated by a non-smooth dynamics approach. It appears that force-driven simulations of the key position compare equally well for both models. This is not true for position-driven simulations of the reaction force exerted by the piano key on the pianist's finger.

Domaines: Automatique / Robotique; Mécanique des structures [physics.class-ph]; Mécanique des structures [physics.class-ph]

Anders Thorin, Xavier Boutillon, José Lozada, Xavier Merlhiot, Alain Micaelli. Simulation of a non-smooth dynamical model of the piano key. Multibody Dynamics 2013, Jul 2013, Zagreb, Croatia. 2 p. ⟨hal-00825754⟩