回転軸の1/2次分数調波・和差調波振動に及ぼす四次の非線形復元力の影響 : 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 with subharmonic oscillations of the order 1/2 and some types of summed-and-differential harmonic oscillations in a symmetrical rotating shaft system with quartic nonlinear spring characteristics. It is known that the restoring force of the shaft has quartic nonlinearity intensively, in addition to quadratic and cubic ones when the shaft is supported by double-row angular contact ball bearings. It is clarified in this paper that the nonlinear terms of the fourth order have strong effects on these kinds of osillations which are caused by nonlinear terms up to the third power of coordinates. We theoretically analyzed these oscillations, paying attention to nonlinear components represented by the polar coordinates, and showed variations of the resonance curves and the occurrence of unstable vibrations. We also ascertained these phenomena in experiments.
社団法人日本機械学会の論文
1986-04-25