The experimental relationships of dynamic force versus grand piano hammer felt deformation show the significant influence of hysteresis characteristics. To explain this phenomenon, a new mathematical model of the hammer felt is proposed. In this model the hammer felt is considered as a nonlinear history-dependent (hysteretic) material with an exponential kernel function. The numerical simulation of interaction of the hammer with a fixed target was used to identify the nonlinear and hysteresis parameters of the felt, and good agreement with experiments was achieved. Also, this model is used here for the analysis of interaction of the hammer with a real grand piano string.
展开▼
