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Vibrations in a fluid-loaded poroelastic hollow cylinder surrounded by a fluid in plane-strain form

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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Plane-strain vibrations in a fluid-loaded poroelastic hollow cylinder surrounded by a fluid are investigated employing Biot’s theory of wave propagation in poroelastic media. The poroelastic hollow cylinder is homogeneous and isotropic, while the inner and outer fluids are homogeneous, isotropic and inviscid. The frequency equation of the fluid-loaded poroelastic cylinder surrounded by a fluid is obtained along with several particular cases, namely, fluid-loaded poroelastic cylinder, fluid-loaded bore, poroelastic cylinder surrounded by a fluid and poroelastic solid cylinder submerged in a fluid. The frequency equations are obtained for axially symmetric, flexural and anti-symmetric vibrations each for a pervious and an impervious surface. Nondimensional frequency for propagating modes is computed as a function of the ratio of thickness to the inner radius of the core. The results are presented graphically for two types of poroelastic cylinders and then discussed.
Rocznik
Strony
189--216
Opis fizyczny
Bibliogr. 18 poz., rys., tab., wykr.
Twórcy
autor
  • Department of Mathematics, Osmania University Hyderabad - 500 007, INDIA
autor
  • Department of Mathematics, CMR Technical Campus Hyderabad - 500 041, INDIA
autor
  • Department of Mathematics Deccan College of Engineering and Technology Hyderabad - 500 001, INDIA
autor
  • Department of Mathematics, Kakatiya University Warangal - 506 009, INDIA
Bibliografia
  • Abousleiman Y. and Cui L. (1998): Poroelastic solutions in transversely isotropic media for wellbore cylinders. - International Journal of Solids and Structures, vol.35, pp.4905-4929.
  • Ahmed Shah S. (2008): Axially symmetric vibrations of fluid-filled poroelastic circular hollow cylinders. - Journal of Sound and Vibration, vol.318, pp.389-405.
  • Ahmed Shah S. and Tajuddin M. (2010): On flexural vibrations of poroelastic circular hollow cylinders immersed in anacoustic medium. - Special Topics and Reviews in Porous Media, vol.1, pp.67-78.
  • Biot M.A. (1956): The theory of propagation of elastic waves in fluid-saturated porous solid. - J. Acous. Soc. Am., vol.28, pp.168-178.
  • Cui L., Cheng A.H.D. and Abousleiman Y. (1997): Poroelastic solutional os an inclined borehole. - Transactions of ASME, Journal of Applied Mechanics, vol.64, pp.32-38.
  • Fatt I. (1959): The Biot-Willis elastic coefficients for a sandstone. - J. Appl. Mech., vol.26, pp.296-297.
  • Gazis D.C. (1958): Exact analysis of plane-strain vibrations in thick-walled hollow cylinders. - J. Acoust. Soc. Am., vol.30, pp.786-794.
  • Kumar Ram (1966): Axially symmetric vibrations of thin cylindrical elastic shell, filled with non-viscous fluid. - Acustica, vol.17, pp.218-222.
  • Kumar Ram (1971): Flexural vibrations of fluid-filled circular hollow cylinders. - Acustica, vol.24, pp.137-146.
  • Malla Reddy P. and Tajuddin M. (2000): Exact analysis of plane-strain vibrations of thick-walled hollow poroelasticcylinders. - International Journal of Solids and Structures, vol.37, pp.3439-3456.
  • Malla Reddy P. and Tajuddin M. (2010): Axially symmetric vibrations of composite poroelastic cylinders in the contextof fretting fatigue. - Special Topics and Reviews in Porous Media, vol.1, pp.311-320.
  • Marilyn J. Berliner and Solecki R. (1996): Wave propagation in fluid-loaded, transversely isotropic cylinders. Part I. Analytical formulation. - J. Acoust. Soc. Am., vol.99, pp.1841-1847.
  • Nageswara Nath C., Tajuddin M. and Manoj Kumar J. (2011): On parametric model of loose bonding betweenporoelastic half-spaces. - Journal of Vibration and Control, vol.18, pp.1261-1274.
  • Plona T.J., Sinha B.K., Kostek S. and Chang S.K. (1992): Axisymmetric wave propagation in fluid-loaded cylindricalshells I: Theory versus experiment. - J. Acoust. Soc. Am., vol.92, pp.1144-1155.
  • Ram Kumar (1972): Dispersion of axially symmetric waves in empty and fluid-filled hollow cylinders. - Acustica, vol.27, pp.317-329.
  • Sharma M.D. and Gogna M.L. (1990): Propagation of elastic waves in a cylindrical bore in a liquid saturated poroussolid. - Geophysical Journal International, vol.103, pp.47-54.
  • Tajuddin M., Nageswara Nath C. and Manoj Kumar J. (2011): Axial-shear vibrations of an infinitely long poroelasticcomposite circular cylinder. - Special Topics and Reviews in Porous Media, vol.2, pp.133-143.
  • Yew C.H. and Jogi P.N. (1976): Study of wave motions in fluid-saturated porous rocks. - J. Acoust. Soc. Am., vol.60, pp.2-8.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-90d41395-5379-4b7d-b906-c449bd719a16
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