Investigation of torsional vibrations in thick walled hollow poroelastic cylinder using Biot’s extension theory

Abstract

This paper deals with the study of torsional vibrations of thick walled hollow poroelastic cylinder using Biot’s extension theory. Considering the boundaries to be stress free, the frequency equation is obtained in the presence of dissipation which is transcendental and complex valued in nature. In the special case of poroelastic thin shell, frequency equation is separated into two real valued equations giving propagation velocity and attenuation coefficient. From the numerical results in the case of sandy sediment, it is clear that the values of propagation velocity are, in general, less than that of attenuation coefficient.