A solution to a specially orthotropic axisymmetric thin shell subjected to a harmonic boundary condition with inclusion of dynamic coupling

Abstract

A closed form solution is developed to a specially orthotropic axisymmetric thin cylindrical shell subjected to harmonic boundary condition. Modified Love-Timoshenko equations have been used to formulate the boundary value problem. Shell has been excited by a longitudinal harmonic boundary condition at one end and grounded by a mechanical spring at the other end. The shell equations and the boundary conditions correspond to a tension dependent shell testing configuration with a longitudinal shaker at the one end and rope termination at the other. The effect of dynamic coupling between the radial equation and the longitudinal equation is included and its effect on the response has been discussed in the result. Further, with the help of equation of motion and taking into account the effect of dynamic coupling, the dynamic response of different composite materials like graphite/epoxy, boron/epoxy and glass/epoxy are analysed. Variations in result have also been compared for these composite materials.