TITLE:
On Axially Symmetric Vibrations of Fluid Filled Poroelastic Spherical Shells
AUTHORS:
Syed Ahmed Shah, Mohammed Tajuddin
KEYWORDS:
Biot’s Theory, Axially Symmetric Vibrations, Radial Vibrations, Rotatory Vibrations, Spherical Shell, Elastic Fluid, Pervious Surface, Impervious Surface, Frequency
JOURNAL NAME:
Open Journal of Acoustics,
Vol.1 No.2,
September
27,
2011
ABSTRACT: Employing Biot’s theory of wave propagation in liquid saturated porous media, waves propagating in a hollow poroelastic closed spherical shell filled with fluid are studied. The frequency equation of axially symmetric vibrations for a pervious and an impervious surface is obtained. Free vibrations of a closed spherical shell are studied as a particular case when the fluid is vanished. Frequency as a function of ratio of thickness to inner radius is computed in absence of dissipation for two types of poroelastic materials each for a pervious and an impervious surface. Results of previous works are obtained as a particular case of the present study.