Abstract
The dynamic response of a submerged prolate spheroidal shell to a plane rectangular shock wave moving parallel to the major axis is studied. Using a coordinate transformation which converts an infinite acoustic medium into a finite rectangular one, an “exact” solution is obtained by finite differences. Approximate structural responses, based on both plane wave and doubly asymptotic fluid behavior on the wet surface, are then compared with the exact results. It is found that the doubly asymptotic approximation is significantly better than the plane wave approximation for all shell eccentricities and shock durations considered. In all cases, it was found that best results were obtained when first order equations of structural motion were used in conjunction with a translating local frame to measure displacements. In order to use the doubly asymptotic approximation, a “model” form of the virtual mass matrix is constructed for prolate spheroidal geometry.
Published Version
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