Phase velocity and attenuation of longitudinal shear vibrations of hollow poroelastic cylinders

• Autorzy: Ahmed Shah S. , Javvad Hussaini S.

Identyfikatory

DOI

10.2478/ijame-2014-0022

• Języki publikacji: EN

Abstrakty

EN

The present paper is devoted to the study of phase velocity and attenuation of longitudinal shear vibrations of hollow poroelastic circular cylinders in the presence of dissipation. The explicit expressions for phase velocity and attenuation of longitudinal shear vibrations are derived. The frequency equation of longitudinal shear vibrations and modes obtained in a previous paper are used to compute the phase velocity and attenuation for different dissipations for thin and thick poroelastic cylindrical shells and poroelastic solid cylinder. The physical parameters of sandstone saturated with kerosene and sandstone saturated with water are used for the purpose of computation. It is found that the phase velocity is linear beyond certain frequency. Phase velocity is smaller for a typical anti-symmetric mode compared to the flexural mode. It is greater for the second mode than that of the first mode. Also the phase velocity is larger for a thin poroelastic cylindrical shell than that of a thick poroelastic cylindrical shell. The same is true for attenuation also. Attenuation is very high for the considered dissipations and it increases with the increase in dissipation.

Słowa kluczowe

EN

Biot's theory; hollow cylinder; shear waves; frequency equation; phase velocity; attenuation; wavenumber; dissipation

PL

prędkość fazowa; tłumienie drgań podłużnych; teoria Biota

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2014
• Tom: Vol. 19, no. 2
• Strony: 337--346
• Opis fizyczny: Bibliogr. 9 poz., tab., wykr.

Twórcy

autor

Ahmed Shah S.

autor

Javvad Hussaini S.

Bibliografia

• [1] Ahmed Shah S. (2008): Axially symmetric vibrations of fluid-filled poroelastic circular cylindrical shells. - Journal of Sound and Vibration, vol.318, pp.389-405.
• [2] Ahmed Shah S. and Tajuddin, M. (2011): On axially symmetric vibrations of fluid filled poroelastic pherical shells. - Open Journal of Acoustics. vol.1, pp.15-26.
• [3] Biot M.A. (1956): Theory of propagation of elastic waves in fluid-saturated porous solid. - J. Acoust. Soc. Am., vol.28, pp.168-178.
• [4] Fatt I. (1959): The Biot-Willis elastic coefficients for a sandstone. - J. Appl. Mech., vol.26, pp.296-297.
• [5] Shanker B., Nageswara Nath C., Ahmed Shah S. and Manoj Kumar J. (2013): Vibration analysis of a poroelastic composite hollow sphere. - Acta Mechanica, vol.224, pp.327-341.
• [6] Tajuddin M. and Ahmed Shah S. (2006): Circumferential waves of infinite hollow poroelastic cylinders. - Trans. ASME, J. Appl. Mech., vol.73, pp.705-708.
• [7] 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.
• [8] Tajuddin M. and Ahmed Shah S. (2010): Longitudinal shear vibrations of hollow poroelastic cylinders. - Bulletin of Cal. Math. Soc., vol.102, pp.289-298.
• [9] 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.