Spherical Shells of Spherically Isotropic Materials

Abstract

This chapter presents a three-dimensional analysis for the free vibration of spherically isotropic spherical shells, including single-layered and multi-layered ones. Coupled vibrations of shells interacting with fluid and elastic media are also studied. A modified two-parameter elastic foundation is derived using the energy principle to analyse a hollow sphere embedded in an infinite elastic medium. Finally, the state-space formulation in spherical coordinates is derived to produce the free vibration solution for laminated spherical shells.