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In this paper, propagation of torsional vibrations in poroelastic prolate spheroids is investigated employing Biot's theory. Frequency equations of torsional vibrations are obtained for a poroelastic solid prolate spheroid and thick walled prolate spheroidal shells. Frequency equations are the same for pervious and impervious surfaces. Results of previous investigations are shown as a particular case of the present study.
Rocznik
Tom
Strony
521--529
Opis fizyczny
Bibliogr. 11 poz.
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autor
autor
- Department of Mathematics Deccan College of Engineering and Technology Hyderabad-500 001 (A.P) INDIA, ahmed_shah67@yahoo.com
Bibliografia
- Abramowitz A. and Stegun I.A. (1965): Handbook of Mathematical Functions. - National Bureau of Standards, Washington.
- Ahmed Shah S. (2008): Axially symmetric vibrations of fluid-filled poroelastic circular cylindrical shells. - Journal of Sound and Vibration, vol.318, pp.389-405.
- Ahmed Shah S. and Tajuddin M. (2009): Axially symmetric vibrations of finite composite poroelastic cylinders. - International Journal Applied Mechanics and Engineering, vol.14, pp.865-877.
- Armenakas A.E. (1965): Torsional waves in composite rods. - J. Acoust. Soc. Am., vol.38, pp.439-446.
- Biot M.A. (1956): Theory of propagation of elastic waves in fluid-saturated porous solid. - J. Acoust. Soc. Am., vol.28, pp.168-178.
- Love A.E.H. (1944): A Treatise on the Mathematical Theory of Elasticity. - New York: Dover.
- Rand R.H. (1968): Torsional vibrations of elastic prolate spheroids. - J. Acoust. Soc. Am., vol.44, pp.749-751.
- Stanisic M.M. and Osburn C.M. (1967): On torsional vibrations of inhomogeneous anisotropic hollow cylinder. - ZAMM, vol.47, pp.465-466.
- Tajuddin M. and Sarma K.S. (1980): Torsional vibrations of poroelastic cylinders. - Trans. ASME, J. Appl. Mech., vol.47, pp.214-216.
- Tajuddin M. and Ahmed Shah S. (2006): Circumferential waves of infinite hollow poroelastic cylinders. - Trans. ASME, J. Appl. Mech., vol.73, pp.705-708.
- Tajuddin M. and Ahmed Shah S. (2007): On torsional vibrations of infinite hollow poroelastic cylinders. - Journal of Mechanics of Materials and Structures, vol.2, pp.189-200.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPZ5-0017-0015