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Forced oscillations of a vertical continuous rotor with geometric nonlinearity

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Abstract

Nonlinear forced oscillations of a vertical continuous rotor with distributed mass are discussed. The restoring force of the rotor has geometric stiffening nonlinearity due to the extension of the rotor center line. The possibility of the occurrence of nonlinear forced oscillations at various subcritical speeds and the shapes of resonance curves at the major critical speeds and at some subcritical speeds are investigated theoretically. Consequently, the following is clarified: (a) the shape of resonance curves at the major critical speed becomes a hard spring type, and (b) among various kinds of nonlinear forced oscillations, only some special kinds of combination resonances have possibility of occurrence.

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Authors and Affiliations

  1. Department of Electronic-Mechanical Engineering, Nagoya University, Furo-cho, Chikusa-ku, 464-01, Nagoya, Japan

    Yukio Ishida, Tsuyoshi Inoue & Seongwoo Lee

  2. Department of Mechanical Engineering, Chubu University, Matsumoto-cho, 487, Kasugai, Japan

    Imao Nagasaka

Authors
  1. Yukio Ishida
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  2. Imao Nagasaka
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  3. Tsuyoshi Inoue
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  4. Seongwoo Lee
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Ishida, Y., Nagasaka, I., Inoue, T. et al. Forced oscillations of a vertical continuous rotor with geometric nonlinearity. Nonlinear Dyn 11, 107–120 (1996). https://doi.org/10.1007/BF00044997

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  • DOI: https://doi.org/10.1007/BF00044997

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