On the Motion of a Set of Spheres Between Two Parallel Planes

[+] Author and Article Information
F. Freudenstein

Columbia University, New York, N. Y.

E. Söylemez

Department of Mechanical Engineering, Middle East Technical University, Ankara, Turkey

J. Eng. Ind 97(1), 294-302 (Feb 01, 1975) (9 pages) doi:10.1115/1.3438553 History: Received January 18, 1974; Online July 15, 2010


The motion is investigated of the centers of a set of identical spheres in rolling contact with two plane, parallel surfaces having general, coplanar motions. This motion is shown to be a rigid-body motion (which we call cage-plane motion). General properties of the motion are derived. Next the nature of the cage-plane motion is investigated in the case of input-plane motions, which are generated mechanically. The results reduce to the known special cases and indicate that the element (cage) usually regarded only as a spacer in ball bearings has a general motion, which is both versatile and potentially useful.

Copyright © 1975 by ASME
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