Abstract
In this paper, the dynamic displacements and stresses in circular cylindrical shells having finite lengths with both ends free and both ends clamped, which are suddenly subjected to equal and opposite radial concentrated loads, are analytically investigated on the basis of Donnell's shell equations including the effect of radial inertia force. The values of the dynamic factors at the loaded point, defined by the ratio of the dynamic maximum radial displacement to the static one, decrease as the cylindrical shells become long, but do not coincide with the result in the case of an infinite cylindrical shell unless the lengths are sufficiently great. Applying the method of solution proposed in this paper, the dynamic responses of finite circular cylindrical shells may be analyzed under arbitrary loading and boundary conditions.
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