TITLE

Influence of Initial Stress as a Convective Boundary Condition on Natural Frequencies of a Poroelastic Hollow Cylinder

AUTHOR(S)
El-Naggar, A. M.; Abbas, Ibrahim A.; Abo-Dahab, S. M.; Elsagheer, M.
PUB. DATE
October 2011
SOURCE
International Review of Physics;Oct2011, Vol. 5 Issue 5, p271
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
In this paper, we study the radial vibrations of a poroelastic hollow cylinder with convective boundary conditions. Biot's theory is employed for wave propagation in a porous solid, the frequency equation for radial vibration of a poroelastic cylinder is obtained includes initial stress as a convective boundary condition. The frequency equation has been derived in the form of a determinant form involving Bessel functions. The root of the frequency frequency equation determines the circular frequency. Special case from this study is investigated if the initial stress is neglected. The numerical computations of the frequency equations for the radial vibrations of a poroelastic cylinder is obtained and are illustrated graphically. It is found the frequency equation of the waves has been affected by the poroelasticity and the initial stress which indicated that their very pronounced on the natural frequency.
ACCESSION #
82687342

 

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics