This paper demonstrates nonlinear theoretical analysis of a flexible rotor system supported by a full-circular journal bearing focusing on the bifurcation phenomenon in the vicinity of the stability limit (bifurcation point). A third-order polynomial approximation model is used for the representation of the oil film force of the journal bearing. The reduced-order model, with modes concerning the bifurcation, is deduced using the center manifold theory. The dynamical equation in the normal form relating the bifurcation which leads to the oil whirl is obtained using the normal form theory. The influences of various parameters are investigated based on the analysis of a deduced dynamical equation in the normal form. Furthermore, the validity of the derived analytical observation is confirmed by comparing it with the numerically obtained frequency response result.
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June 2017
Research-Article
Nonlinear Analysis of Bifurcation Phenomenon for a Simple Flexible Rotor System Supported by a Full-Circular Journal Bearing
Tatsuya Miura,
Tatsuya Miura
Mitsubishi Hitachi Power Systems, Ltd.,
Minatomirai 3-chome, Nishi-ku,
Yokohama 220-8401, Japan
Minatomirai 3-chome, Nishi-ku,
Yokohama 220-8401, Japan
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Tsuyoshi Inoue,
Tsuyoshi Inoue
Mem. ASME
Department of Mechanical Science Engineering,
Nagoya University,
Furo-cho, Chikusa-ku,
Nagoya 464-8603, Japan
e-mail: inoue@nuem.nagoya-u.ac.jp
Department of Mechanical Science Engineering,
Nagoya University,
Furo-cho, Chikusa-ku,
Nagoya 464-8603, Japan
e-mail: inoue@nuem.nagoya-u.ac.jp
Search for other works by this author on:
Hiroshi Kano
Hiroshi Kano
Department of Mechanical Science Engineering,
Nagoya University,
Furo-cho, Chikusa-ku,
Nagoya 464-8603, Japan
Nagoya University,
Furo-cho, Chikusa-ku,
Nagoya 464-8603, Japan
Search for other works by this author on:
Tatsuya Miura
Mitsubishi Hitachi Power Systems, Ltd.,
Minatomirai 3-chome, Nishi-ku,
Yokohama 220-8401, Japan
Minatomirai 3-chome, Nishi-ku,
Yokohama 220-8401, Japan
Tsuyoshi Inoue
Mem. ASME
Department of Mechanical Science Engineering,
Nagoya University,
Furo-cho, Chikusa-ku,
Nagoya 464-8603, Japan
e-mail: inoue@nuem.nagoya-u.ac.jp
Department of Mechanical Science Engineering,
Nagoya University,
Furo-cho, Chikusa-ku,
Nagoya 464-8603, Japan
e-mail: inoue@nuem.nagoya-u.ac.jp
Hiroshi Kano
Department of Mechanical Science Engineering,
Nagoya University,
Furo-cho, Chikusa-ku,
Nagoya 464-8603, Japan
Nagoya University,
Furo-cho, Chikusa-ku,
Nagoya 464-8603, Japan
1Corresponding author.
Contributed by the Technical Committee on Vibration and Sound of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received December 28, 2015; final manuscript received January 10, 2017; published online April 28, 2017. Editor: I. Y. (Steve) Shen.
J. Vib. Acoust. Jun 2017, 139(3): 031012 (12 pages)
Published Online: April 28, 2017
Article history
Received:
December 28, 2015
Revised:
January 10, 2017
Citation
Miura, T., Inoue, T., and Kano, H. (April 28, 2017). "Nonlinear Analysis of Bifurcation Phenomenon for a Simple Flexible Rotor System Supported by a Full-Circular Journal Bearing." ASME. J. Vib. Acoust. June 2017; 139(3): 031012. https://doi.org/10.1115/1.4036098
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