207 二連弦で支持された剛体棒系の非線形連成振動解析

概要

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Analytical results are presented on nonlinear coupled vibrations of a system of a rigid rod supported by parallel strings. Nonlinear periodic responses are calculated with the harmonic balance method. Time responses of the system are calculated by direct numerical integration with the Runge-Kutta method. As the excitation frequency is increased, vibration form changes from in-plane periodic vibration to whirling, and then quasi-periodic responses appear accompanied by whirling and pitching motion. At the specific frequencies in the region of quasi-periodic responses, chaotic responses are also observed. As the excitation frequency is increased further, the vibration form transits to periodic pitching vibration with the jump phenomenon. It is found that the frequency region of the quasi-periodic response is narrowed as the eccentricity of the rod is increased. Furthermore, the region of the quasi-periodic response is slightly enlarged by the increase of the distance between the two strings.
一般社団法人日本機械学会の論文
2009-08-03