Elasto-plastic friction modeling of bow–string interaction

One approach for simulating bow-string interaction is to use an elasto-plastic friction model. In this study, such a model is refined to guarantee passivity, and a stable numerical scheme is derived that inherits the energy balance of the underlying continuous model. The model is used to simulate the motion of a vibrating string under frictional excitation by a finite-width bow, incorporating both bow hair compliance and string torsional motion. Using inverse modeling to obtain parameter values for the elasto-plastic friction model, it is possible to reconstruct measured transient signals. By examining Guettler diagrams of simulated data, a dependency of the underlying frictional profile on the bow force and acceleration emerges. This observation is in agreement with prior research indicating that static and dynamic friction coefficients vary within a Guettler diagram and points to the fact that the elasto-plastic model should be modified to account for that dynamical nature. [This research was funded in whole or in part by the Austrian Science Fund (FWF) [10.55776/P34852]]