バイオリン弦のスティックスリップ振動の研究

（その２ 固有関数を用いた理論解析）

抄録

The vibrations of a bowed violin string have been studied since the 19th century. The string was found to oscillate in a simple triangular pattern described by Helmholtz. Today these vibrations are known as stick and slip vibrations caused by friction and have been studied by many researchers. Stick-slip vibrations are self-sustained oscillations induced by dry friction. The theoretical analysis of stick-slip vibrations was solved by Cellular Automaton Method during prior research. However, it is not solved by Modal Analysis Method. In this research, stick-slip vibration is solved by Modal Analysis Method. At the time of slip, as a result of the simulation, it was possible to obtain results by Modal Analysis Method which is reasonable compared with Cellular Automaton Method and at the time of stick, it was possible to obtain reasonable calculation results only for displacement.