Vibration analysis of three-layered functionally graded cylindrical shells with isotropic middle layer resting on winkler and pasternak foundations

A. G. Shah; M. N. Naeem; A. Ali; T. Mahmood; S. H. Arshad

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Vibration analysis of three-layered functionally graded cylindrical shells with isotropic middle layer resting on winkler and pasternak foundations

Author(s)

A. G. Shah Department of mathematics, Govt. Post Graduate College Jhang, Jhang 35200, Pakistan

M. N. Naeem Department of mathematics, G. C. University Faisalabad, Faisalabad 38000, Pakistan

A. Ali Department of mathematics, G. C. University Faisalabad, Faisalabad 38000, Pakistan

T. Mahmood Department of mathematics, the Islamia University of Bahawalpur, Bahawalpur 63100, Pakistan

S. H. Arshad Department of Civil Engineering, Iqra National University Peshawar, Peshawar 25000, Pakistan

Abstract

Vibration characteristics of a cylindrical shell composed of three layers are investigated. The inner and outer layers of cylindrical shell are functionally graded materials whereas middle layer is of isotropic material. Love shell equations are used to study the vibration problem. The expressions for moduli of the Winkler and Pasternak foundations are combined with the shell dynamical equations. The wave propagation technique is used to solve the present shell problem. A number of comparisons of numerical results are performed to check the validity and accuracy of the present approach.

Publication Details

Page(s) 256-262

DOI DOI not available

Published Journal: Pakistan Journal of Science, Volume: 65, Issue: 2, Year: 2013

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References

Shah A.G.,Naeem M.N.,Mahmood T.,Arshad S.H. .2013 .Vibration analysis of three-layered functionally graded cylindrical shells with isotropic middle layer resting on Winkler and Pasternak foundations. Pak. J. Sci., 65(2) : 256-262.