バイオリン弦のスティックスリップ振動の研究

その１ セルオートマトンを用いた理論解析

抄録

The stick-slip vibration of violin string was completely formulated by using CA method (Cellular Automaton method) in time history analysis. The local neighborhood rule of the CA method was derived for the travelling wave along the string, both ends of string, and the bow point. The key point in success is that the bow point is to be fixed point and also to be velocity excited point at the same time. This means that reflected wave velocity consist of the incidental wave velocity and bow velocity. The above formulation results in reproducing the perfect Helmholtz waves.