On torsional vibrations of infinite hollow poroelastic cylinders

Tajuddin, M.; Shah, S. Ahmed

doi:10.2140/jomms.2007.2.189

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On torsional vibrations of infinite hollow poroelastic cylinders

M. Tajuddin and S. Ahmed Shah

Vol. 2 (2007), No. 1, 189–200

DOI: 10.2140/jomms.2007.2.189

Abstract

Employing Biot’s theory of wave propagation in liquid saturated poroelastic media, the propagation of torsional vibrations in an infinite homogeneous, isotropic hollow poroelastic circular cylinder is investigated. Considering the boundaries to be stress free, the frequency equation of torsional vibrations is obtained in presence of dissipation. The frequency equation is discussed for the first two modes in the cases of a poroelastic thin shell, a poroelastic thick shell and a poroelastic solid cylinder. Phase velocity, group velocity and attenuation are determined and computed for the first mode of vibration for two different poroelastic materials as a function of frequency. These values are displayed graphically and then discussed.

Keywords

Biot's theory, torsional vibrations, phase velocity, group velocity, attenuation.

Milestones

Received: 11 August 2006

Accepted: 11 August 2006

Published: 1 March 2007

Authors

M. Tajuddin
Department of Mathematics Osmania University Hyderabad 500 007 India

S. Ahmed Shah
Department of Mathematics Osmania University Hyderabad 500 007 India

Vol. 2, No. 1, 2007

M. Tajuddin and S. Ahmed Shah

Abstract

Keywords

Milestones

Authors