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On Axially Symmetric Vibrations of Fluid Filled Poroelastic Spherical Shells

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DOI: 10.4236/oja.2011.12003    5,039 Downloads   10,973 Views   Citations

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

S. 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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