An asymmetrical shaft supported by single-row deep groove ball bearings with clearance has nonlinear spring characteristics, rotating stiffness difference in shaft, and static stiffness difference in support at the shaft ends. When an asymmetrical rotor is supported horizontally, a harmonic excitation due to the unbalance and a double frequency excitation due to the coexistence of gravity and shaft asymmetry work simultaneously. As a result, this system becomes a nonlinear parametrically excited system with multiple periodic excitation forces. In this paper, nonlinear forced vibrations and parametrically excited vibrations are investigated theoretically and experimentally. Vibration characteristics of both isolated resonances and internal resonances are studied.
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e-mail: ishida@nuem.nagoya-u.ac.jp
e-mail: liu@nuem.nagoya-u.ac.jp
e-mail: inoue@nuem.nagoya-u.ac.jp
e-mail: suzuki@nuem.nagoya-u.ac.jp
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August 2008
Research Papers
Vibrations of an Asymmetrical Shaft With Gravity and Nonlinear Spring Characteristics (Isolated Resonances and Internal Resonances)
Yukio Ishida,
Yukio Ishida
Department of Mechanical Science and Engineering, School of Engineering,
e-mail: ishida@nuem.nagoya-u.ac.jp
Nagoya University
, Nagoya, Aichi 464-8603, Japan
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Jun Liu,
Jun Liu
Department of Mechanical Science and Engineering, School of Engineering,
e-mail: liu@nuem.nagoya-u.ac.jp
Nagoya University
, Nagoya, Aichi 464-8603, Japan
Search for other works by this author on:
Tsuyoshi Inoue,
Tsuyoshi Inoue
Department of Mechanical Science and Engineering, School of Engineering,
e-mail: inoue@nuem.nagoya-u.ac.jp
Nagoya University
, Nagoya, Aichi 464-8603, Japan
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Akihiro Suzuki
Akihiro Suzuki
Department of Mechanical Science and Engineering, School of Engineering,
e-mail: suzuki@nuem.nagoya-u.ac.jp
Nagoya University
, Nagoya, Aichi 464-8603, Japan
Search for other works by this author on:
Yukio Ishida
Department of Mechanical Science and Engineering, School of Engineering,
Nagoya University
, Nagoya, Aichi 464-8603, Japane-mail: ishida@nuem.nagoya-u.ac.jp
Jun Liu
Department of Mechanical Science and Engineering, School of Engineering,
Nagoya University
, Nagoya, Aichi 464-8603, Japane-mail: liu@nuem.nagoya-u.ac.jp
Tsuyoshi Inoue
Department of Mechanical Science and Engineering, School of Engineering,
Nagoya University
, Nagoya, Aichi 464-8603, Japane-mail: inoue@nuem.nagoya-u.ac.jp
Akihiro Suzuki
Department of Mechanical Science and Engineering, School of Engineering,
Nagoya University
, Nagoya, Aichi 464-8603, Japane-mail: suzuki@nuem.nagoya-u.ac.jp
J. Vib. Acoust. Aug 2008, 130(4): 041004 (8 pages)
Published Online: July 1, 2008
Article history
Received:
May 12, 2006
Revised:
August 12, 2006
Published:
July 1, 2008
Citation
Ishida, Y., Liu, J., Inoue, T., and Suzuki, A. (July 1, 2008). "Vibrations of an Asymmetrical Shaft With Gravity and Nonlinear Spring Characteristics (Isolated Resonances and Internal Resonances)." ASME. J. Vib. Acoust. August 2008; 130(4): 041004. https://doi.org/10.1115/1.2889475
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