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.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.