Abstract
A method is described of constructing a linearized, two dimensional theory of stability of elastic, thin-walled circular cylindrical shells acted upon by a uniform external pressure in the form of a “follower” load. The relations of the theory of shells constructed with the help of the Kirchhoff—Love hypothesis for the case when the subcritical deformations are small and the subcritical state is determined according to the geometrically linear theory, are used. The “follower” load is determined in the above formulation using the refined expressions given in /1, 2/. As a result, a fundamental system of differential equations with a symmetric operator matrix is obtained for the problem in question. A characteristic equation is obtained for a hinged shell in a subcritical membrane state. Asymptotic analysis of the roots of this equation yields the conditions under which the solutions for the case of external pressure in the form of a follower and a dead load coincide.
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