NUMERICAL SIMULATION OF STRING/BARRIER COLLISIONS: THE FR ETBOARD.
Stefan Bilbao, Alberto Torin · Edinburgh Research Explorer (University of Edinburgh) · 2014
Collisions play a major role in various models of musical instruments; one particularly interesting case is that of the guit ar fretboard, the subject of this paper. Here, the string is modelle d including effects of tension modulation, and the distributed collision both with the fretboard and individual frets, and including both effects of free string vibration, and under finger-stopped con ditions, requiring an additional collision model. In order to handle multiple distributed nonlinearities simultaneously, a finite diffe rence time domain method is developed, with a penalty potential allowing for a convenient model of collision within a Hamiltonian framework, allowing for the construction of stable energy-conserving methods. Implementation details are discussed, and simulation results are presented illustrating a variety of features of such a mo del.