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 OJA  Vol.1 No.2 , September 2011
On Axially Symmetric Vibrations of Fluid Filled Poroelastic Spherical Shells
Syed Ahmed Shah, Mohammed Tajuddin
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.
Keywords: Biot’s Theory, Axially Symmetric Vibrations, Radial Vibrations, Rotatory Vibrations, Spherical Shell, Elastic Fluid, Pervious Surface, Impervious Surface, Frequency
Cite this paper: nullS. Shah and M. Tajuddin, "On Axially Symmetric Vibrations of Fluid Filled Poroelastic Spherical Shells," Open Journal of Acoustics, Vol. 1 No. 2, 2011, pp. 15-26. doi: 10.4236/oja.2011.12003.
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