Post-Buckling Behavior of a Circular Rod Constrained Within a Circular Cylinder

[+] Author and Article Information
K. G. Sorenson

Invetech, Inc., Houston, Texas 77042

J. B. Cheatham

Department of Mechanical Engineering and Material Science, Rice University, Houston, Texas 77001

J. Appl. Mech 53(4), 929-934 (Dec 01, 1986) (6 pages) doi:10.1115/1.3171883 History: Received March 15, 1985; Revised February 10, 1986; Online July 21, 2009


An axially loaded weightless circular rod buckles helically when constrained within a circular cylinder. The effects of pinned and fixed-end conditions are investigated. Both end conditions locate the rod end on the cylinder axis, and are found to perturb the helix in an exponentially decaying manner for a distance of less than one helix pitch length. Far from the end, the rod behaves as an undisturbed constant-pitch helix. The distance from the rod end to the point of initial contact with the cylinder wall is calculated. Closed-form analytical solutions are obtained for the deflected shapes and internal reactions of the end sections. The solution procedure applies to rods of either finite or infinite length.

Copyright © 1986 by ASME
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