An unbalanced rotor dynamic model supported on ball bearings is established. In the model, three nonlinear factors of ball bearing are considered, namely, the clearance of bearing, nonlinear Hertzian contact force between balls and races, and the varying compliance vibrations because of periodical change in contact position between balls and races. The numerical integration method is used to obtain the nonlinear dynamic responses; the effects of the rotating speed and the bearing clearance on dynamic responses are analyzed; and the bifurcation plots, the phase plane plots, the frequency spectra, and the Poincaré maps are used to carry out the analyses of bifurcation and chaotic motion. Period doubling, quasiperiod loop breaking, and mechanism of intermittency are observed as the routes to chaos.
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December 2009
Research Papers
Study on Nonlinear Dynamic Response of an Unbalanced Rotor Supported on Ball Bearing
G. Chen
G. Chen
College of Civil Aviation,
e-mail: cgzyx@263.net
Nanjing University of Aeronautics and Astronautics
, Nanjing, 210016, P.R.C.
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G. Chen
College of Civil Aviation,
Nanjing University of Aeronautics and Astronautics
, Nanjing, 210016, P.R.C.e-mail: cgzyx@263.net
J. Vib. Acoust. Dec 2009, 131(6): 061001 (9 pages)
Published Online: October 21, 2009
Article history
Received:
November 26, 2007
Revised:
April 16, 2009
Published:
October 21, 2009
Citation
Chen, G. (October 21, 2009). "Study on Nonlinear Dynamic Response of an Unbalanced Rotor Supported on Ball Bearing." ASME. J. Vib. Acoust. December 2009; 131(6): 061001. https://doi.org/10.1115/1.3142883
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