The Influence of Transient Flexural Waves on Dynamic Strains in Cylinders

Abstract

The displacement response of a semi-infinite, thin-walled cylinder to a pressure moving at a constant velocity has been solved by Sing-chih Tang in closed form except for an integral term which Tang was forced to evaluate numerically. In this paper, an asymptotic evaluation of this integral is given which adds considerably to the physical interpretation of the solution. In brief, the asymptotic evaluation represents the long-term propagation of transients in the cylinder and their interaction with the steady-state solution.