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TECHNICAL PAPERS

Vibration Modeling of Rotating Spindles Supported by Lubricated Bearings

[+] Author and Article Information
R. Aini

Rye Machinery Ltd., Lincoln Road, High Wycombe, Bucks HP12 3TR, United Kingdom

H. Rahnejat

Department of Mechanical Engineering, University of Bradford, Bradford BD7 1DP, United Kingdom

R. Gohar

Tribology Section, Department of Mechanical Engineering, Imperial College of Science and Technology, Exhibition Road, London SW7 2BX, United Kingdom

J. Tribol 124(1), 158-165 (Aug 29, 2000) (8 pages) doi:10.1115/1.1332398 History: Received August 29, 2000; Revised August 29, 2000
Copyright © 2002 by ASME
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References

Wardle,  F. P., and Poon,  S. Y., 1983, “Rolling Bearing Noise-Cause and Cure,” Chart. Mech. Eng., July/August, 30, pp. 36–40.
Meyer,  L. D., Ahlgren,  F. F., and Weichbrodt,  B. Z., 1980, “An Analytic Model of Ball Bearing Vibrations to Predict Vibration Response to Distributed Defects,” ASME J. Mech. Des., April, 102, pp. 205–210.
Igarashi,  T., and Hamada,  H., 1982, “Studies on the Vibration and Sound of Defective Rolling Bearings,” 1st Report: Vibration of Ball Bearings With One Defect, Bull. JSME, 25, No. 204, pp. 994–1001.
Igarashi,  T., and Yabe,  S., 1983, “Studies on the Vibration and Sound of Defective Rolling Bearings,” 2nd Report: Sound of Ball Bearings With One Defect, Bull. JSME, 26, No. 220, pp. 1791–1798.
Igarashi,  T., and Kato,  K., 1985, “Studies on the Vibration and Sound of Defective Rolling Bearings,” 3rd Report: Vibration of Ball Bearings With Multiple Defects, Bull. JSME, 28, No. 237, pp. 492–499.
Rahnejat,  H., and Gohar,  R., 1985, “Vibration of Radial Ball Bearings,” Proc. Instn. Mech. Engrs., 199, (C/C3), pp. 181–193.
Gad, E. H., Fukata, S., and Tamura, H., 1985, “Computer Simulation of Rotor Radial Vibration Due to Ball Bearings,” Memoirs of the Faculty of Engineering, Kyushu Univ., 44 , No. 1, pp. 83–111.
Gad, E. H., Fukata, S., and Tamura, H., 1985, “Computer Simulation of Rotor Axial and Radial Vibrations Based on Ball Bearings,” Memoirs of the Faculty of Engineering, Kyushu Univ., 44 , No. 2, pp. 169–189.
Aini, R., 1990, Vibration Monitoring and Modelling of Shaft/Bearing Assemblies Under Concentrated Elastohydrodynamic Condition, Ph.D. thesis, Kingston University, UK.
Aini,  R., Rahnejat,  H., and Gohar,  R., 1990, “A Five Degrees of Freedom Analysis of Vibration in Precision Spindles,” Int. J. Mach. Tool Des. Manuf. 30, No. 1, pp. 1–18.
Sasaki,  T., Mori,  H., and Okino,  N., 1962, “Fluid Lubrication Theory of Roller Bearings,” ASME J. Basic Eng., 84, pp. 175–191.
Rahnejat, H., 1984, Influence of Vibration on the Oil Film in Concentrated Contacts, Ph.D. thesis, Imperial College of Science & Technology, Univ. of London.
Gohar, R., 1988, Elastohydrodynamics, Ellis Horwood series in Mechanical Engineering, Chichester, UK.
Hamrock,  B. J., and Dowson,  D., 1977, “Isothermal Elastohydrodynamic Lubrication of Point Contacts: Part III—Fully Flooded Results,” ASME J. Lubr. Technol., 99, pp. 264–276.
Chittenden,  R. J., Dowson,  D., Dunn,  J. F., and Taylor,  C. M., 1985, “A Theoretical Analysis of the Isothermal Elastohydrodynamic Lubrication of Concentrated Contacts: Part II—General Case, With Lubricant Entrainment Along Either Principal Axis of the Hertzian Contact Ellipse or at Some Intermediate Angle,” Proc. R. Soc. London, Ser. A, 397, pp. 271–294.
Mostofi, A., 1981, “Oil Film Thickness and Pressure Distribution in Elastohydrodynamic Elliptical Contacts,” Ph.D. thesis, Imperial College of Science & Technology, Univ. of London.
Hartog, D., 1956, Mechanical Vibrations, 4th ed., McGraw-Hill Book Company, New York.
Gohar, R., and Akturk, N., 1998, “Vibrations Associated With Ball Bearings,” Conference on Multi body Dynamics, Proc. I. Mech. Engrs, London, pp. 43–63.

Figures

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Geometrical consideration of the nonlinear EHD model
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Angular contact ball bearing under combined load
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X-oscillation time history
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(a) Oil film thickness variation per ball in the left bearing; (b) load distribution per ball in the left bearing; (c) h−h phase plane.
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The influence of number of balls on the amplitude of oscillation
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(a) The influence of varying spindle mass on the amplitude of oscillation; (b) effect of high spindle mass on film thickness in the phase plane.
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X-oscillation frequency spectrum
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Universal load regime chart

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