Effects of Quartic Nonlinear Restoring Forces on 1/2-0rder Subharmonic and Summed-and-Differential Harmonic Oscillations of a Rotating Shaft : Variations of Resonance Curves and Occurrence of Unstable Vibrations

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概要

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• This paper deals with subharmonic oscillations of 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 intensive quartic nonlinearity, in addition to quadratic and cubic nonlinearities 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 power of coordinates have strong effects on these kinds of oscillations which are caused by nonlinear terms up to the third power. 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.

• 一般社団法人日本機械学会の論文

著者

• Yamamoto Toshio

  Faculty Of Engineering Nagoya University

• 池田 高志

  東京工業大学大学院理工学研究科

• Ishida Yukio

  Nagoya University Department Of Electronic Mechanical Engineering

• Ikeda T

  Nagoya Univ. Nagoya

• IKEDA Takashi

  School of Agriculture, Meiji University

• Yamamoto Tetsu

  Industrial Electronics And Systems Development Lab. Mitsubishi Electric Corporation

• Yamamoto Toshio

  Meijo University

• ISHIDA Yukio

  School of Engineering, Nagoya University

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