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On Axially Symmetric Vibrations of Fluid Filled Poroelastic Spherical Shells

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DOI: 10.4236/oja.2011.12003    5,067 Downloads   11,017 Views   Citations


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.

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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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