Vibrations of Fluid-Filled Spherical and Spheroidal Shells

Abstract

Frequency equations and mode shapes are obtained in analytic form for the axisymmetric, extensional, nontorsional vibrations of fluid-filled elastic spherical shells and rigid prolate spheroidal shells, while a numerical scheme is developed for the fluid-filled elastic prolate spheroidal shell. Extensive numerical results in the form of frequency spectra and mode shapes for these problems are displayed.