On the Contact Problem of Thin Circular Rings

[+] Author and Article Information
Chien-Heng Wu, Robert Plunkett

Department of Aeronautics and Engineering Mechanics, University of Minnesota, Minneapolis, Minn.

J. Appl. Mech 32(1), 11-20 (Mar 01, 1965) (10 pages) doi:10.1115/1.3625706 History: Received December 27, 1963; Online September 15, 2011


It is well known that the solution of an elastica subjected to end loads can be obtained in terms of elliptic functions. In the present paper, the combined problem of elastic contact between uniform circular rings or cylinders is reduced to a set of end-loaded elasticas. The approach is demonstrated by finding the complete solution in closed form for two unequal rings pressed between rigid anvils of constant curvature. Numerical results are obtained for the set of problems of two rings with equal stiffness but unequal radii compressed between two rigid flat plates.

Copyright © 1965 by ASME
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