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

• Articles • 上一篇    下一篇

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. 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
  • 收稿日期:2009-03-22 修回日期:2009-07-08 出版日期:2009-12-02 发布日期:2009-11-01

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. 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

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摘要： 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.

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

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

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