The Effect of Viscosity on the Forced Vibrations of a Fluid-Filled Elastic Shell

Abstract

The effect of viscosity on the axisymmetric, forced vibrations of a fluid-filled, elastic, spherical shell is studied analytically. Necessary theory, using boundary layer approximation for the fluid as developed in a previous paper for free vibrations, has been extended to incorporate an external forcing excitation. Shell response, fluid loading, and energy dissipation rate are computed for radial, tangential, and combined force excitations. The essential feature of the modal and the total responses is determined by resonant frequencies and various vibration-absorbing frequencies. Frequency spectra for such frequencies, as well as various response curves, are presented in dimensionless forms to illustrate the characteristics of the solution.