Vibration characteristics of FGM circular cylindrical shells filled with fluid using wave propagation approach

doi:10.1007/s10483-009-1105-x

Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (11): 1393-1404.doi: https://doi.org/10.1007/s10483-009-1105-x

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Vibration characteristics of FGM circular cylindrical shells filled with fluid using wave propagation approach

Zafar Iqbal¹ Muhammad Nawaz Naeem² Nazra Sultana¹ Shahid Hussain Arshad¹ Abdul Ghafar Shah³

1. Department of Mathematics, University of Sargodha, Sargodha, Punjab, Pakistan;
2. Department of Mathematics, G. C. University Faisalabad, Punjab, Pakistan;
3. Department of Mathematics, The Islamia University of Bahawalpur, Punjab, Pakistan

Received:2009-03-22 Revised:2009-07-08 Online:2009-12-02 Published:2009-11-01

Abstract

Abstract: The vibration characteristics of a functionally graded material circular cylindrical shell filled with fluid are examined with a wave propagation approach. The shell is filled with an incompressible non-viscous fluid. Axial modal dependence is approximated by exponential functions. A theoretical study of shell vibration frequencies is analyzed for simply supported-simply supported, clamped-simply supported, and clamped-clamped boundary conditions with the fluid effect. The validity and the accuracy of the present method are confirmed by comparing the present results with those available in the literature. Good agreement is observed between the two sets of results.

Key words: functionally graded material, Love’s shell theory, cylindrical shell, volume fraction law, natural frequency, wave propagation

2010 MSC Number:

Zafar Iqbal;Muhammad Nawaz Naeem;Nazra Sultana;Shahid Hussain Arshad;Abdul Ghafar Shah. Vibration characteristics of FGM circular cylindrical shells filled with fluid using wave propagation approach. Applied Mathematics and Mechanics (English Edition), 2009, 30(11): 1393-1404.

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Vibration characteristics of FGM circular cylindrical shells filled with fluid using wave propagation approach

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