Nonlinear Stability of Balanced Rotor Due to the Effect of Ball Bearing Internal Clearance

BAI Chang-qing; XU Qing-yu; ZHANG Xiao-long

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Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(2): 159-169

BAI Chang-qing, XU Qing-yu, ZHANG Xiao-long. Nonlinear Stability of Balanced Rotor Due to the Effect of Ball Bearing Internal Clearance[J]. Applied Mathematics and Mechanics, 2006, 27(2): 159-169.

Citation:

BAI Chang-qing, XU Qing-yu, ZHANG Xiao-long. Nonlinear Stability of Balanced Rotor Due to the Effect of Ball Bearing Internal Clearance[J]. Applied Mathematics and Mechanics, 2006, 27(2): 159-169.

Citation:

BAI Chang-qing, XU Qing-yu, ZHANG Xiao-long. Nonlinear Stability of Balanced Rotor Due to the Effect of Ball Bearing Internal Clearance[J]. Applied Mathematics and Mechanics, 2006, 27(2): 159-169.

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Nonlinear Stability of Balanced Rotor Due to the Effect of Ball Bearing Internal Clearance

1.
School of Aerospace, Xi'an Jiaotong University, Xi'an 710049, P. R. China;

Received Date: 2004-06-28
Rev Recd Date: 2005-10-11
Publish Date: 2006-02-15

Abstract

Abstract

Stability and dynamic characteristics of a ball bearing-rotor system are investigated under the effect of the clearance in the ball bearing. Different clearance values were assumed to calculate the nonlinear stability of periodic solution with the aid of the Floquet theory. Bifurcation and chaos behavior were analyzed with variation of the clearance and rotational speed. It is found that there are three routes to unstable periodic solution. The period-doubling bifurcation and the secondary Hopf bifurcation are two usual routes to instability. The third route is the boundary crisis, a chaotic attractor occurs suddenly as the speed passes through its critical value. At last, the instable ranges for different internal clearance values were described. It is useful to investigate the stability property of ball bearing-rotor system.
- ball bearing,
- clearance,
- rotor,
- stability,
- bifurcation,
- chaos

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References(11)

References

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