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D. C. Gazis, “Three Dimensional Investigation of the Propagation of Waves in Hollow Circular Cylinders,” Journal of the Acoustical Society of America, Vol. 31, 1959, pp. 568-587. doi:10.1121/1.1907753

has been cited by the following article:

• TITLE: Vibration Analysis of an Infinite Poroelastic Circular Cylindrical Shell Immersed in Fluid

  AUTHORS: Syed Ahmed Shah

  KEYWORDS: Biot’s Theory; Axially Symmetric Vibrations; Radial Vibrations; Poroelastic Cylindrical Shell; Pervious Surface; Impervious Surface; Phase Velocity; Cut-off Frequency

  JOURNAL NAME: Open Journal of Acoustics, Vol.2 No.2, June 29, 2012

  ABSTRACT: The purpose of this paper is to study the effect of presence of fluid within and around a poroelastic circular cylindrical shell of infinite extent on axially symmetric vibrations. The frequency equation each for a pervious and an impervious surface is obtained employing Biot’s theory. Radial vibrations and axially symmetric shear vibrations are uncoupled when the wavenumber is vanished. The propagation of axially symmetric shear vibrations is independent of presence of fluid within and around the poroelastic cylindrical shell while the radial vibrations are affected by the presence of fluid. The frequencies of radial vibrations and axially symmetric shear vibrations are the cut-off frequencies for the coupled motion of axially symmetric vibrations. The non-dimensional phase velocity as a function of ratio of thickness to wavelength is computed and presented graphically for two different types of poroelastic materials for thin poroelastic shell, thick poroelastic shell and poroelastic solid cylinder.