Abstract

While many studies have been presented on the large-deflection (postbuckling) problem of thin-walled, axially compressed, circular cylindrical shells (e.g., those of Donnell, von Karman, Tsien, Kempner, Thielemann, Almroth), the corresponding problem for noncircular (oval) cylinders does not appear to have been investigated. Results of solutions to the latter problem should prove to be applicable to cylinders designed to be circular, but which turn out to be slightly oval after fabrication, as well as to cylinders designed with oval cross sections having considerable out-of-roundness. Such studies should also serve to supplement existing work on the corresponding classical (small-deflection) stability problem of noncircular cylinders (e.g., [1, 2]).

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