Dynamics of an Initially Stressed Fluid-Immersed Cylindrical Shell

Abstract

Introduction T theory of the dynamic response of plates and shells submerged in a fluid has been treated extensively in the literature. A small and incomplete list of pertinent publications is provided by Refs. 1-10. When a closed shell is submerged in a fluid, it is subjected to normal fluid pressure acting on its surface. Static pressures of this kind will induce what we shall call initial stresses (or prestresses) and deformations. Subsequently applied static and time-dependent loads will result in incremental deformations and stresses in the shell. Initial stresses can be the cause of radical changes in the dynamical characteristics of the shell which result in significant differences between the transient response of shells with and without prestress. Since all investigations of shellfluid interaction to date seem to neglect this important effect, it was felt that this phenomenon deserves to be investigated. In particular, thz present investigation considers the axisymmetric dynamic response of an initially stressed, elastic cylindrical shell submerged in a fluid. The shell is of unbounded length, with thickness h and mean radius a. It is subjected to static axial and radial prestress, and is subsequently subjected to radially directed transient loads.