Free vibration of fill-fluid spherical shells of varying thickness

Abstract EN

In this paper a detailed study of the theory of the axisymmetrical free vibration of thin spherical shells varying in thickness in the head and the base of the shells.

Frequency equations and mode shapes are obtained in an analytic form for the axisymmetric, extensional, non – torsional vibrations of fluid – filled elastic spherical shells of the variable thickness.

Should results show an increase in natural frequencies with the decrease of the thickness of the shell.

Also the natural frequencies are shown to decreasing the head thickness while keeping the base thickness fixed.