Analysis of Wave Propagation in Elastic Cylindrical Shells by the Perturbation Method

Abstract

Simple perturbation solutions are given for the propagation of stress waves in an elastic cylindrical shell subjected to transient, axisymmetric, longitudinal excitations. The solutions are shown to be accurate even at rather large distances from the boundary at which the excitation is applied. Convergence of the series solutions is examined and application of the technique to related problems is discussed.