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TECHNICAL PAPERS

The Dynamic Behavior of a Rolling Element Auxiliary Bearing Following Rotor Impact

[+] Author and Article Information
M. O. T. Cole, P. S. Keogh, C. R. Burrows

Department of Mechanical Engineering, Faculty of Engineering and Design, University of Bath, Bath BA2 7AY, UK

J. Tribol 124(2), 406-413 (Jun 01, 2001) (8 pages) doi:10.1115/1.1430673 History: Received February 07, 2001; Revised June 01, 2001
Copyright © 2002 by ASME
Topics: Force , Bearings , Rotors
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References

Kim,  Y. B., and Noah,  S. T., 1990, “Bifurcation Analysis for a Modified Jeffcott Rotor With Bearing Clearances,” Nonlinear Dyn., 1, pp. 221–241.
Wang,  X., and Noah,  S., 1998, “Nonlinear Dynamics of a Magnetically Supported Rotor on Safety Auxiliary Bearings,” ASME J. Vibr. Acoust., 120, pp. 596–606.
Ishii,  T., and Kirk,  R. G., 1996, “Transient Response Technique Applied to Active Magnetic Bearing Machinery During Rotor Drop,” ASME J. Vibr. Acoust., 118, pp. 154–163.
Fumagalli, M., and Schweitzer, G., 1996, “Measurements on a Rotor Contacting its Housing,” 6th International Conference on Vibrations in Rotating Machinery, IMechE Conference Transactions, Oxford, pp. 779–788.
Kirk,  R. G., 1999, “Evaluation of AMB Turbomachinery Auxiliary Bearings,” ASME J. Vibr. Acoust., 121, pp. 156–161.
Walford, T. L. H., and Stone, B. J., 1983, “The Sources of Damping in Rolling Element Bearings Under Oscillating Condition,” Proceedings of the Institution of Mechanical Engineers, Part C, Journal of Mechanical Engineering Science, Vol. 197, pp. 225–232.
Hagui,  G. D., and Gafitanu,  M. D., 1997, “Tangential Tractions and Micro-Slip,” Wear, 221, pp. 22–29.
Jones,  A. B., 1959, “Ball Motion and Sliding Friction in Ball Bearings,” ASME J. Basic Eng., 81, pp. 1–12.
Walters,  C. T., 1971, “The Dynamics of Ball Bearings,” ASME J. Vibr. Acoust., 93, pp. 1–10.
Jones,  A. B., 1960, “A General Theory for Elastically Constrained Ball and Radial Roller Bearings Under Arbitrary Load And Speed Conditions,” ASME J. Basic Eng., 82, pp. 309–326.
Harris,  T. A., 1971, “An Analytical Method to Predict Skidding in Thrust Loaded, Angular-Contact Ball Bearings,” ASME J. Lubr. Technol. 93, pp. 17–24.
Gupta,  P. K., 1991, “Modeling of Instabilities Induced by Cage Clearances in Ball Bearings,” Tribol. Trans., 34, pp. 93–99.
Stacke, L.-E., Fritzson, D., and Nordling, P., 1999, “BEAST—A Rolling Bearing Simulation Tool,” Proceedings of the Institution of Mechanical Engineers, Part K, Journal of Multi-Body Dynamics, 213 , pp. 63–71.
Harris, T. A., 1966, Rolling Bearing Analysis, Wiley, New York.
Hunt,  K. H., and Crossley,  F. R. E., 1975, “Coefficient of Restitution Interpreted as Damping in Vibroimpact,” ASME J. Appl. Mech., 42, pp. 440–445.
Kalker,  J. J., 1968, “The Tangential Force Transmitted by Two Elastic Bodies Rolling Over Each Other with Pure Creepage,” Wear, 11, pp. 421–430.

Figures

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(a) Cross-section of rotor and auxiliary bearing and (b) Contact forces for jth ball
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(a) Race finite element/ball model and (b) single element with deflections
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Inner race radial deflection due to rotor contact force (W=2Co)
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Ball load distributions. Rotor contact occurs over ball 10 and balls numbered 21 to 39 are unloaded (a) variation with rotor contact force, (b) variation with inner race thickness, and (c) variation with inner race angular speed for rotor contact force W=Co/10.
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Solutions for inner race angular acceleration from Eq. (27) with angular velocity for various rotor contact forces (a) low velocity solutions and (b) high velocity solutions
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Ball rolling and sliding zones boundaries: variation with angular velocity for a range of rotor contact forces.
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Impact simulation results showing time variation of inner race angular velocity for different impulses
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Energy dissipation map over force duration and magnitude
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Energy dissipation maps for a fixed magnitude force W0=5000 N (a) variation with force duration and race thickness and (b) variation with force duration and coefficient of sliding friction

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