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On Axially Symmetric Vibrations of Fluid Filled Poroelastic Spherical Shells
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Open Journal of Acoustics·Volume 01 (2011)·Pages 15–26·Published 27 September 2011·DOI10.4236/oja.2011.12003
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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.
KeywordsBiot’s TheoryAxially Symmetric VibrationsRadial VibrationsRotatory VibrationsSpherical ShellElastic FluidPervious SurfaceImpervious SurfaceFrequency
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