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RESEARCH PAPERS: Other Technical Papers

Motion of a Ball in a Ball Bearing

[+] Author and Article Information
H. Portig

IBM Office Products Division, Lexington, Ky.

H. G. Rylander

The University of Texas at Austin, Austin, Texas

J. Eng. Ind 95(1), 263-268 (Feb 01, 1973) (6 pages) doi:10.1115/1.3438117 History: Received July 07, 1971; Online July 15, 2010

Abstract

A method is developed which allows the digital simulation of the unsteady motion of a single ball constrained only by two moving bearing races. Any desired motion of the races can be simulated. Normal forces acting on the ball are calculated by Hertzian contact deformation theory. If there is slippage between ball and races, Coulomb friction is assumed to occur. Solutions to the differential equations of motion were obtained on a computer with the digital simulation language MIMIC. The phenomenon of ball control as well as the behavior of the ball as it reached a controlled state from rest were observed. This analysis can produce more realistic results than methods that assume that the ball is controlled at all times, especially when the races are radially or angularly displaced with respect to each other.

Copyright © 1973 by ASME
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