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