Study of three dimensional propagation of waves in hollow poroelastic circular cylinders

• Autorzy: Shah S. A.

Identyfikatory

DOI

10.1515/ijame-2015-0037

• Języki publikacji: EN

Abstrakty

EN

Employing Biot’s theory of wave propagation in liquid saturated porous media, waves propagating in a hollow poroelastic circular cylinder of infinite extent are investigated. General frequency equations for propagation of waves are obtained each for a pervious and an impervious surface. Degenerate cases of the general frequency equations of pervious and impervious surfaces, when the longitudinal wavenumber k and angular wavenumber n are zero, are considered. When k=0, the plane-strain vibrations and longitudinal shear vibrations are uncoupled and when […] these are coupled. It is seen that the frequency equation of longitudinal shear vibrations is independent of the nature of the surface. When the angular (or circumferential) wavenumber is zero, i.e., n=0, axially symmetric vibrations and torsional vibrations are uncoupled. For n[…] these vibrations are coupled. The frequency equation of torsional vibrations is independent of the nature of the surface. By ignoring liquid effects, the results of a purely elastic solid are obtained as a special case.

Słowa kluczowe

EN

Biot's theory; poroelastic cylindrical shell; pervious surface; impervious surface; wavenumber; frequency

PL

propagacja fal; teoria Biota; drgania skrętne

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2015
• Tom: Vol. 20, no. 3
• Strony: 565--587
• Opis fizyczny: Bibliogr. 19 poz.., tab., wykr.

Twórcy

autor

Shah S. A.

• Department of Mathematics Deccan College of Engineering and Technology Hyderabad–500 001 (T.S) INDIA

Bibliografia

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