Dynamic Stability of a Shallow Cylindrical Shells

by Ivor K. McIvor,
Carl H. Popelar,


Serial Information: Journal of the Engineering Mechanics Division, 1967, Vol. 93, Issue 3, Pg. 109-128


Document Type: Journal Paper

Abstract: The dynamic snap-through of a shallow cylindrical shell under impulsive loading is investigated. The nonlinear equations of motion are reduced to a set of ordinary differential equations in time by expanding the displacements in a series of the linear vibrational mode shapes. Both symmetrical and unsymmetrical snap-through is studied. It is shown that the parametrically excited, asymmetric mode may produce unsymmetrical snap-through an initial velocities considerably below those for symmetric snap-through.

Subject Headings: Cylindrical shells | Equations of motion | Symmetry | Impulsive loads | Differential equations | Displacement (mechanics) | Linear functions

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