Green's-Function Technique in the Dynamics of a Finite Cylindrical Shell

Abstract

The Reissner linearized equations of motion, including hysteretic and viscous-type damping terms, are adopted in the study of the dynamics of a finite, thin, elastic, cylindrical shell of circular cross section. The integral representation of the displacement solution is obtained for an arbitrary, three-dimensional, time-dependent pressure field and the associated Green's-function solution is calculated; it is shown to be of identical form to the Green's function for other elastic systems. In particular, the shell response to a moving shock wave (step-function discontinuity), impinging upon the shell at an arbitrary angle of incidence, is calculated. In the special case of axial symmetry, two additional waveforms are considered, that of a moving exponentially decaying shock wave and a ramp step-function wave. Typical numerical results are given in the form of displacement time curves and the effects of the various parameters are discussed.