Vibrations of Cylindrical Shells with Varying Thickness

Abstract

The asymmetric vibrations of cylindrical shells with variable thickness are studied by the improved shell theory and the classical one, The equations of vibration and the boundary conditions are obtained from stationary conditions of the Lagrangian of vibrations of cylindrical shells. The solutions are obtained in such a case that the thickness of cylindrical shells, built in at one end, varies exponentially along its axis. After numerical calculations, all boundary conditions at the other end are discussed, the effects of parameters on vibrations are investigated and the results by the improved theory are compared with those by the classical one.