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Vibration analysis of submerged thin FGM cylindrical shells

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Abstract

This study gives a brief work on vibration characteristics of cylindrical shells submerged in an incompressible fluid. The shell is presumed to be structured from functionally graded material. The effect of the fluid is introduced by using the acoustic wave equation. Love’s first order thin shell theory is utilized in the shell dynamical equations. The problem is framed by combining shell dynamical equations with the acoustic wave equation. Fluid-loaded terms are associated with Hankel function of second kind. Wave propagation approach is employed to solve the shell problem. Some comparisons of numerical results are performed for the natural frequencies of simply supported-simply supported, clamped-clamped and clamped-simply supported boundary conditions of isotropic as well as functionally graded cylindrical shells to check the validity of the present approach. The influence of fluid on the submerged functionally graded cylindrical shells is noticed to be very pronounced.

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Authors and Affiliations

  1. Department of Mathematics, G C University, Faisalabad, Faisalabad, 38000, Punjab, Pakistan

    Muhammad Nawaz Naeem

  2. Department of Statistics and Mathematics, Agricultural University Faisalabad, Faisalabad, 38000, Punjab, Pakistan

    Madiha Gamkhar

  3. Department of Civil Engineering, Iqra National University, Peshawar, Peshawar, 25000, Khyber Pakhtunkhawa, Pakistan

    Shahid Hussain Arshad

  4. Department of Mathematics, Govt. Post Graduate College, Jhang, Jhang, 35200, Punjab, Pakistan

    Abdul Ghafar Shah

Authors
  1. Muhammad Nawaz Naeem
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  2. Madiha Gamkhar
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  3. Shahid Hussain Arshad
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  4. Abdul Ghafar Shah
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Corresponding author

Correspondence to Shahid Hussain Arshad.

Additional information

Recommended by Associate Editor Jun-Sik Kim

Shahid Hussain Arshad earned his Ph.D degree from the Department of Mathematics, University of Sargodha, Pakistan in 2011. Recently, he is an Assistant Professor in the Department of Civil Engineering at Iqra National University, Peshawar, Pakistan. He has also worked as a visiting scholar in the Department of Engineering Science and Mechanics at Virginia Tech. and State University USA in 2007–2008. His research interests are structural dynamics and material science.

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Naeem, M.N., Gamkhar, M., Arshad, S.H. et al. Vibration analysis of submerged thin FGM cylindrical shells. J Mech Sci Technol 27, 649–656 (2013). https://doi.org/10.1007/s12206-013-0119-6

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  • DOI: https://doi.org/10.1007/s12206-013-0119-6

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