Vibration of a Bowed String with Dissipative Damping : An Example of Self-excited Vibration in Piecewise-linear Continuous System (A Rapid Report : The Case of Bowing at the Middle Point)

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概要

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• The maintained vibration of a bowed string with dissipative damping is exactly analysed by means of a Fourier series solution obtained by applying a method of series transformation. The frictional force characteristic is assumed to be a piecewise-liner one, with a constant dynamic friction and with a maximum static friction somewhat greater than the dynamic friction. In this paper, only the case of bowing at the middle point of the string and the vibration with the frequency equal to the undamped natural frequency are investigated. The successive configurations and displacement curves obtained reproduce almost exactly those given by Helmholz's law, with the differences of small additional displacements to overcome air resistance.

• 山梨大学の論文

著者

• Minakuchi Yoshihisa

  山梨大学工学部

• Maezawa Keiichiro

  山梨大学工学部

関連論文

• Vibration of a Bowed String with Dissipative Damping : An Example of Self-excited Vibration in Piecewise-linear Continuous System (A Rapid Report : The Case of Bowing at the Middle Point)

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