This paper considers the stability of two planar forms of the elastica: (1) A twisted circular hoop and (2) the classical noninflectional plane elastica. By means of the Kirchhoff thin-rod theory, the critical loads at which the planar forms become unstable and tend to “pop out” into spatial forms are determined. The results are related to the problems of coiling and kinking of submarine cable.

Issue Section:
Research Papers
Topics:
Stability, Cables, Stress, Underwater vehicles
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Copyright © 1962
 by ASME
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