Unsymmetrical Buckling of Thin Shallow Spherical Shells

[+] Author and Article Information
Nai-Chien Huang

Stanford University, Division of Engineering Mechanics, Stanford, Calif.

J. Appl. Mech 31(3), 447-457 (Sep 01, 1964) (11 pages) doi:10.1115/1.3629662 History: Received June 27, 1963; Online September 15, 2011


The axisymmetrical snapping of clamped shallow spherical shells has been studied by many authors. There is found to be a discrepancy between the experimental observation of the buckling pressure and their theoretical prediction. In this paper, a study is made of the buckling pressure based on the initiation of unsymmetrical deflection. An eigenvalue problem is formulated and the buckling pressures for shells of a large range of geometrical parameters are obtained numerically. The present work reduces the gap between experiment and theory.

Copyright © 1964 by ASME
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