On Cage-Plane Motion

[+] Author and Article Information
O. Bottema

Mathematics Department, Technological University, Delft, The Netherlands

G. R. Veldkamp

Mathematics Department, Technological University, Eindhoven, The Netherlands

J. Eng. Ind 99(3), 662-664 (Aug 01, 1977) (3 pages) doi:10.1115/1.3439294 History: Received December 17, 1975; Online July 15, 2010


In a recent paper F. Freudenstein and E. Söylemez investigate the motion of the centers of spheres in rolling contact with two planes having coplanar motions. It appears that the said motion is a rigid one. The authors call it the cage-plane motion. In their analysis of the motion they use the theory of instantaneous invariants to obtain a number of interesting results [1]. In this paper, the cage-plane motion is treated by means of vector methods. It turns out that this is an easy way to obtain most of the results of Freudenstein and Söylemez and to extend these results in various respects.

Copyright © 1977 by ASME
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