Free Vibration Problems of Pressurized Axisymmetric Shells

Abstract

The fundamental equations for the free vibration problems of pressurized axisymmetric shells are presented, and they are solved by the finite difference method. For numerical examples, the effects of internal pressure on behaviours of free vibrations of cylindrical and spherical shells are investigated. The results are compared with experimental data and with those obtained using Timoshenko's fundamental equations for cylindrical shells. From these examples, it is found that the results obtained by our method almost coincide with experimental data, but the results based on Timoshenko's fundamental equations are slightly different from our results.