固有関数を用いたバイオリン弦のスティックスリップ振動の解析

抄録

The stick-slip vibration of violin string was formulated by using natural vibration functions. Stick mode is assumed to be velocity excitation condition at one end of the string, and slip mode is assumed to be Coulomb friction force excitation at the touching point of the bow. Stick and slip mode switches each other if shear force of the string at touching point is over static friction force. Displacement and velocity over string is taken over as the initial conditions when vibration mode switches. Present method is compared with CA method (Cellular Automaton method) with good agreement.