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RADIAL VIBRATIONS OF THICK-WALLED HOLLOW POROELASTIC CYLINDERS

Том 13, Выпуск 4, 2010, pp. 307-318
DOI: 10.1615/JPorMedia.v13.i4.20
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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.

ЦИТИРОВАНО В
  1. Reddy Perati Malla, Bandari Sandhya Rani, Study of radial vibrations in cylindrical bone in the framework of transversely isotropic poroelasticity, Journal of Vibration and Control, 22, 5, 2016. Crossref

  2. Gurijala Rajitha, Perati Malla Reddy, Analysis of radial vibrations in thick walled hollow poroelastic cylinder in the framework of Biot’s extension theory, Multidiscipline Modeling in Materials and Structures, 14, 5, 2018. Crossref

  3. Kumar J. Manoj, Nageswaranath C., Kavitha K., Shah S. Ahmed, Radial vibrations in a fluid-loaded two layered poroelastic cylindrical shell surrounded by a fluid, INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (ICMSA-2019), 2246, 2020. Crossref

  4. Venkanna D., Venugopal M., Malla Reddy P., Propagation of Vibrations in a Plane Angular Sector of Double Porosity Elliptic Cone, International Journal of Applied and Computational Mathematics, 8, 2, 2022. Crossref

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