The classical differential equations of motion of the ball mass center in an angular contact thrust loaded ball bearing are integrated with prescribed initial conditions in order to simulate the natural high frequency vibrational characteristics of the general motion. Two distinct frequencies are identified in the analytical simulation and their existence is also confirmed experimentally. One of the frequencies is found to be associated with the Hertzian contact spring at the ball race contact and it is therefore defined as the “elastic contact frequency”, Ωe. The other dominant frequency corresponding to oscillatory motion of the ball in the raceway groove appears to be kinematic in nature and it is, therefore, termed as the “bearing kinematic frequency”, Ωk. It is shown that for a given bearing Ωe and Ωk, vary as, respectively, 1/6 and 1/2 powers of the ball contact load and, therefore, for a given load these frequencies correspond to the natural frequencies of the bearing as applied in any vibrational analysis or simulation.
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April 1977
This article was originally published in
Journal of Lubrication Technology
Research Papers
Vibrational Characteristics of Ball Bearings
P. K. Gupta,
P. K. Gupta
Mechanical Technology Inc., Latham, N. Y.
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L. W. Winn,
L. W. Winn
Mechanical Technology Inc., Latham, N. Y.
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D. F. Wilcock
D. F. Wilcock
Mechanical Technology Inc., Latham, N. Y.
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P. K. Gupta
Mechanical Technology Inc., Latham, N. Y.
L. W. Winn
Mechanical Technology Inc., Latham, N. Y.
D. F. Wilcock
Mechanical Technology Inc., Latham, N. Y.
J. of Lubrication Tech. Apr 1977, 99(2): 284-287 (4 pages)
Published Online: April 1, 1977
Article history
Received:
March 16, 1976
Revised:
June 4, 1976
Online:
October 20, 2010
Citation
Gupta, P. K., Winn, L. W., and Wilcock, D. F. (April 1, 1977). "Vibrational Characteristics of Ball Bearings." ASME. J. of Lubrication Tech. April 1977; 99(2): 284–287. https://doi.org/10.1115/1.3453078
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