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TECHNICAL PAPERS

Analysis of a Ball Bearing With Waviness Considering the Centrifugal Force and Gyroscopic Moment of the Ball

[+] Author and Article Information
G. H. Jang, S. W. Jeong

PREM, Department of Mechanical Engineering, Hanyang University, Seoul, 133-791, Korea

J. Tribol 125(3), 487-498 (Jun 19, 2003) (12 pages) doi:10.1115/1.1538618 History: Received January 15, 2002; Revised October 22, 2002; Online June 19, 2003
Copyright © 2003 by ASME
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References

Figures

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Rolling elements of ball bearing
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Waviness model of inner and outer race
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Position vector of groove radius center: (a) x-y plane; and (b) x-y plane
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Position of ball center and raceway curvature centers 2
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Ball loading at arbitrary azimuth angle, ψi3
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The flow chart of numerical analysis
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Contact angle and contact force of a single ball: (a) contact force; and (b) contact angle
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Inner race contact force due to waviness with Wardle’s condition 4
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Principal frequencies and its harmonics due to ball waviness of order 2 without considering Fci and MGi: (a) radial vibration; and (b) axial vibration
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Inner race contact force due to waviness: (a) inner race waviness order=15; and (b) inner race waviness order=16
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Inner race contact force without considering waviness
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Amplitude of inner race contact force due to waviness
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Kxx and Kzz due to waviness: (a) inner race waviness order=15; and (b) inner race waviness order=16
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Amplitude of stiffness due to waviness
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Principal frequencies and its harmonics due to ball waviness of order considering Fcj and MGj: (a) radial vibration; and (b) axial vibration
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Cage frequency and ball rotational frequency
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Bearing vibration frequencies due to ball waviness of order 2: (a) radial vibration; and (b) axial vibration
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Axial and radial bearing vibration frequencies due to outer race waviness of order 15 and 16
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Bearing vibration frequencies due to inner race waviness of order 15 and 16: (a) radial vibration; and (b) axial vibration
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Error versus the number of iteration
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The number of iteration with radial preload

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