Dynamic Analysis of a non-linear vibrating circular cylindrical shell using the regular perturbation technique

Abstract

We investigated in this paper the effect of non-linear vibration of a circular cylindrical shell subject to axially symmetric loading. We consider the approximation of the equation using the regular perturbation technique and thereby solving the resulting linear equation analytically. The result indicates an exponential decay away from the edge of the shell, which is one of the unique characteristics of a shell. From the numerically simulated results it was observed that increase in the excitation amplitude produces a wrinkling effect on the shell.

JONAMP Vol. 11 2007: pp. 301-310