Critical Velocity for Collapse of a Shell of Circular Cross Section Without Buckling

Abstract

Many practical devices involve high-speed collapse of shells of circular cross section, In all of the devices the stability of the collapse motion is of interest and in some it is essential for successful operation. In this paper, the buckling motion of shells of circular cross section during high-speed collapse is analyzed and critical collapse velocities are determined for which the growth of initial nonuniformities by buckling during collapse is 10 and 100.