Piano String Motion and Spectra
Anatoli Stulov · 2004
This presentation is focused on the numerical simulation of the hammer-string interaction. The main attention is dedicated to analysis of the special cases of the piano scale design. This study is based on the physical mod-els of hammer and string, and gives the possibility to cal-culate the motion of strings and hammers, the history of the acting forces, and to simulate the spectra of the string vibrations. The three-parameter hysteretic model, which parameters were obtained experimentally, describes the piano hammer. The string is assumed to be perfectly flexible. Computer simulation of the hammer-string in-teraction is used for determination of tension of the string terminated on the bass and treble bridges, for optimiza-tion of the striking point position, and for investigation of multiple contacts. 1.