非線形往復振動系における1/2次分数調波・和差調波振動 : 四乗の非線形項による共振曲線の変化と不安定振動の発生

概要

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This paper deals theoretically with a subharmonic oscillation of order 1/2 and some sort of summed-and-differential harmonic oscillations in a rectilinear vibratory system with nonlinear spring characteristics, which are expressed by the terms of the second, third and fourth powers of coordinates. Especially, the effects of quartic terms on these oscillations caused by the nonlinear terms up to the third power of coordinates are investigated. It is clarified that quartic terms have qualitatively different effects from those of quadratic terms, and that unstable vibrations occur due to quartic terms. These kinds of unstable vibrations have been observed experimentally in a rotating shaft system by the authors of this paper.
社団法人日本機械学会の論文
1987-02-25