Vibration and damping analysis of multilayered conical shells

Abstract

The governing equations of motion for axisymmetric and antisymmetric vibrations of a general multilayered conical shell consisting of an arbitrary number of specially orthotropic material layers have been derived using the variational principles. The Galerkin method has been applied for finding the approximate solutions of the shell with various edge conditions. The correspondence principle of linear viscoelasticity has been used for evaluating the damping effectiveness of the shells consisting of elastic and viscoelastic layers. A computer program has been developed for axisymmetric vibration of a multilayered shell consisting of an arbitrary number of elastic and viscoelastic layers. The results of the resonance frequencies and the associated system loss factors for three, five and seven layered conical shells are reported.