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Journal of Porous Media
Импакт фактор: 1.49 5-летний Импакт фактор: 1.159 SJR: 0.43 SNIP: 0.671 CiteScore™: 1.58

ISSN Печать: 1091-028X
ISSN Онлайн: 1934-0508

Выпуски:
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Journal of Porous Media

DOI: 10.1615/JPorMedia.v13.i4.20
pages 307-318

RADIAL VIBRATIONS OF THICK-WALLED HOLLOW POROELASTIC CYLINDERS

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

Краткое описание

A study of the radial vibrations of hollow poroelastic cylinders of infinite extent is made following Biot's theory of wave propagation in liquid-filled porous media. The frequency equations of these vibrations for a permeable and an impermeable surface are derived. Two limiting cases of ratio of wall thickness to inner radius of the hollow poroelastic cylinder are considered, namely, when these ratios are very small and very large. The first limiting case corresponds to modes of a thin poroelastic shell and plate, while in the second limiting case, modes of a poroelastic solid cylinder and poroelastic bore in an infinite poroelastic medium are obtained. Plots of nondimensional frequency as a function of ratio of wall thickness to inner radius are presented for a permeable and an impermeable surface and are then discussed. By ignoring the liquid effects, the results of a purely elastic solid are obtained as a special case.


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