Three-Directional Dynamic Green's Function for Thin Shells by Modal Expansion

Abstract

A general expression for the three-directional dynamic Green's function for vibrating thin shells is expressed in terms of mode shapes and natural frequencies by the modal expansion technique. The response in three directions, one component normal to the shell surface and two components tangential to it, is defined for general forcing functions with components in these three directions when the mode shapes are given in these directional components. As an example, the three-directional dynamic Green's function for the simply supported cylindrical shell is evaluated. Treatment of the nonpreferential orientation of the modes of shells of revolution is illustrated.