Abstract
Abstract : The problem of the stability of a cylindrical panel resting on a rectangular boundary, under the effect of a normal impulse which is characterized by a rapid increase in load to a certain magnitude and subsequent decrease according to the exponential law is discussed. The main objective is to construct a range of parameters which characterizes this impulse and in the presence of which snap-through buckling of the shell does not occur (i.e., stability 'in the large'). The effect of the initial compression and damping decrements on the boundary of the stability region, as well as on the maximum deflections attainable under the effect of the impulse were investigated. Partial differential equations of the nonlinear shell theory are, by applying the Papkovich-Galerkin method, reduced to nonlinear ordinary differential equations and solved on continuously-acting analog computers (the MN-7 computer was used).
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