Table of Contents
ISRN Mechanical Engineering
Volume 2011, Article ID 892460, 13 pages
http://dx.doi.org/10.5402/2011/892460
Research Article

Vibrational Study of Fluid-Filled Functionally Graded Cylindrical Shells Resting on Elastic Foundations

1Department of Mathematics, Islamia University of Bahawalpur, Bahawalpur, Punjab 63100, Pakistan
2Department of Mathematics, G. C. University Faisalabad, Faisalabad, Punjab 38000, Pakistan
3Department of Mathematics, University of Sargodha, Sargodha, Punjab 40100, Pakistan

Received 15 January 2011; Accepted 2 March 2011

Academic Editor: J. Clayton

Copyright © 2011 Abdul Ghafar Shah et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Vibrational characteristics of functionally graded cylindrical shells filled with fluid and placed on Winkler and Pasternak elastic foundations are investigated. Love's thin-shell theory is utilized for strain-displacement and curvature-displacement relationships. Shell dynamical equations are solved by using wave propagation approach. Natural frequencies for both empty and fluid-filled functionally graded cylindrical shells based on elastic foundations are determined for simply-supported boundary condition and compared to validate the present technique. Results obtained are in good agreement with the previous studies. It is seen that the frequencies of the cylindrical shells are affected much when the shells are filled with fluid, placed on elastic foundations, and structured with functionally graded materials. The influence of Pasternak foundation is more pronounced than that of Winkler modulus.