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Research Papers

Study on Nonlinear Dynamic Response of an Unbalanced Rotor Supported on Ball Bearing

[+] Author and Article Information
G. Chen

College of Civil Aviation, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, P.R.C.cgzyx@263.net

J. Vib. Acoust 131(6), 061001 (Oct 21, 2009) (9 pages) doi:10.1115/1.3142883 History: Received November 26, 2007; Revised April 16, 2009; Published October 21, 2009

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.

Copyright © 2009 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Unbalance rotor-ball bearing dynamic model

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Figure 2

Schematic of the ball bearing

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Figure 3

The rotor response in the X direction at rotor disk (nr=300 rpm)

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Figure 4

The rotor response in the Y direction at rotor disk (nr=300 rpm)

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Figure 5

The rotor response spectra at rotor disk (nr=300 rpm)

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Figure 6

Spectrum (nr=3000 rpm)

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Figure 7

Poincaré map (nr=3000 rpm)

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Figure 8

Spectrum (nr=4000 rpm)

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Figure 9

Poincaré map (nr=4000 rpm)

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Figure 10

Spectrum (nr=5000 rpm)

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Figure 11

Poincaré map (nr=5000 rpm)

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Figure 12

Spectrum (nr=6000 rpm)

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Figure 13

Poincaré map (nr=6000 rpm)

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Figure 14

Spectrum (nr=7000 rpm)

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Figure 15

Poincaré map (nr=7000 rpm)

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Figure 16

Spectrum (nr=8000 rpm)

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Figure 17

Poincaré map (nr=8000 rpm)

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Figure 18

The bifurcation plots (clearance is 0 μm)

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Figure 19

The bifurcation plots (clearance is 10 μm)

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Figure 20

Poincaré maps of xrp in segment C

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Figure 21

Poincaré maps of xrp in segment D

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Figure 22

Time waveform, phase plane plot, and Poincaré map of xrp in segment E (nr=19,099 rpm)

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Figure 23

Poincaré maps of xrp in segment F

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Figure 24

Phase plane plots of xrp in segment F

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Figure 25

Bifurcation plots (clearance is 20 μm)

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Figure 26

Bifurcation plots (clearance is 40 μm)

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Figure 27

Bifurcation plots (clearance is 80 μm)

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