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Special Topics & Reviews in Porous Media: An International Journal
ESCI SJR: 0.259 SNIP: 0.466 CiteScore™: 0.83

ISSN Imprimir: 2151-4798
ISSN En Línea: 2151-562X

Special Topics & Reviews in Porous Media: An International Journal

DOI: 10.1615/SpecialTopicsRevPorousMedia.v1.i1.60
pages 67-78

ON FLEXURAL VIBRATIONS OF POROELASTIC CIRCULAR CYLINDRICAL SHELLS IMMERSED IN AN ACOUSTIC MEDIUM

S. Ahmed Shah
Department of Mathematics, Deccan College of Engineering and Technology, Hyderabad - 500 001 (AP) India
M. Tajuddin
Department of Mathematics, Osmania University, Hyderabad - 500 007 (AP) India

SINOPSIS

Employing Biot's theory of wave propagation in liquid-saturated porous media, flexural vibrations of poroelastic circular cylindrical shells of different wall thicknesses and infinite extent immersed in an acoustic medium are investigated. Let the poroelastic cylindrical shells are homogeneous and isotropic. The frequency equation of flexural vibrations propagating in a poroelastic solid cylinder, each for a pervious and an impervious surface is obtained as a limiting case when the ratio of thickness to the inner radius tends to infinity as the inner radius tends to zero. Cutoff frequencies when the wave number is zero are obtained both for pervious and impervious surfaces. For zero wave number, the frequency equation of longitudinal shear vibrations is independent of nature of the surface, i.e., pervious or impervious, and is also independent of the presence of fluid within and around the poroelastic cylindrical shell. The nondimensional phase velocity for propagating modes is computed as a function of the ratio of thickness to wavelength in the absence of dissipation. Results are presented graphically for two types of poroelastic materials and then discussed. Previous results are shown as a special case of the present investigation. Results of purely elastic solid are obtained.


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