Rotation of a Clamped Spherical Ball due to Linear Reciprocating Motion

[+] Author and Article Information
E. S. Edelstein, J. J. Blech

Technion—Israel Institute of Technology, Haifa 32000, Israel

J. Appl. Mech 63(3), 683-691 (Sep 01, 1996) (9 pages) doi:10.1115/1.2823350 History: Received December 22, 1993; Revised January 05, 1995; Online December 04, 2007


A perfect spherical ball, symmetrically clamped between two identical surfaces, was found to rotate due to linear reciprocating excitation. A plausible theoretical explanation of this phenomenon follows. The rotation of the ball is a combination of the magnification of the dynamic response of the ball in the clamping system, near its natural frequencies, with frictional stick-slip at the contact areas. The ball rotates when the system is excited by a reciprocating motion not collinear with the preloading direction. The theoretical analysis of such rotation was corroborated by testing. This rotation may result in wear because of the slip motion involved. This work is focused on balls clamped between spherical (concave) surfaces. However, such rotation can also be developed in cylindrical hinges and rolling bearings, naturally loaded between a pair of surfaces. Furthermore, rotation of balls may develop in a nonrotating ball bearing under dynamic environmental conditions.

Copyright © 1996 by The American Society of Mechanical Engineers
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