Skip to main content
SpringerLink
Log in

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

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Junger, M. C. and Mass, C. Vibration of elastic shells in a fluid medium and the associated radiation of sound. Journal of Applied Mechanics 74, 439–445 (1952)

    Google Scholar 

  2. Jain, R. K. Vibration of fluid-filled, orthotropic cylindrical shells. Journal of Sound and Vibration 37(3), 379–388 (1974)

    Article  MATH  Google Scholar 

  3. Goncalves, P. B. and Batista, R. C. Frequency response of cylindrical shells partially submerged or filled with liquid. Journal of Sound and Vibration 113(1), 59–70 (1987)

    Article  Google Scholar 

  4. Chen, W. Q. and Ding, H. J. Natural frequency of fluid-filled transversely isotropic cylindrical shells. International Journal of Mechanical Sciences 41(6), 677–684 (1999)

    Article  MATH  Google Scholar 

  5. Zhang, X. M., Liu, G. R., and Lam, K. Y. Coupled vibration analysis of fluid-filled cylindrical shells using the wave propagation approach. Journal of Applied Acoustics 62(3), 229–243 (2001)

    Article  Google Scholar 

  6. Zhang, X. M., Liu, G. R., and Lam, K. Y. Vibration analysis of thin cylindrical shells using wave propagation approach. Journal of Sound and Vibration 239(3), 397–403 (2001)

    Article  Google Scholar 

  7. Li, X. B. Study of free vibration analysis of circular cylindrical shells using wave propagation. Journal of Sound and Vibration 311(3–5), 667–682 (2008)

    Google Scholar 

  8. Zhang, X. M. Frequency analysis of submerged cylindrical shells with the wave propagation approach. International Journal of Mechanical Sciences 44(7), 1259–1273 (2002)

    Article  MATH  Google Scholar 

  9. Natsuki, T., Ni, Q.-Q., and Endo, M. Vibration analysis of fluid-filled carbon nanotubes using the wave propagation approach. Applied Physics A-Material Science and Processing 90(3), 441–445 (2008)

    Article  Google Scholar 

  10. Haddadpour, H., Mahmoudkhani, S., and Navazi, H. M. Free vibration analysis of functionally graded cylindrical shells including thermal effects. Journal of Thin-Walled Structures 45(6), 591–599 (2007)

    Article  Google Scholar 

  11. Sheng, G. G. and Wang, X. Thermomechanical vibration analysis of a functionally graded shell with flowing fluid. European Journal of Mechanics-A/Solids 27(6), 1075–1087 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  12. Loy, C. T., Lam, K. Y., and Reddy, J. N. Vibration of functionally graded cylindrical shells. International Journal of Mechanical Sciences 41(3), 309–324 (1999)

    Article  MATH  Google Scholar 

  13. Pradhan, S. C., Loy, C. T., Lam, K. Y., and Reddy, J. N. Vibration characteristics of functionally graded cylindrical shells under various boundary conditions. Applied Acoustics 61(1), 111–129 (2000)

    Article  Google Scholar 

  14. Naeem, M. N. Vibrational Frequency Analysis of Nonrotating and Rotating FGM Circular Cylindrical Shells, Ph. D. dissertation, University of Manchester Institute of Science and Technology, Manchester, UK (2002)

    Google Scholar 

  15. Najafizadeh, M. M. and Isvandzibaei, M. R. Vibration of functionally graded cylindrical shells based on higher order shear deformation plate theory with ring support. Acta Mechanica 191(1–2), 75–91 (2007)

    Article  MATH  Google Scholar 

  16. Arshad, S. H., Naeem, M. N., and Sultana, N. Frequency analysis of functionally graded material cylindrical shells with various volume fraction law. Journal of Mechanical Engineering Science 221(12), 1483–1495 (2007)

    Google Scholar 

  17. Love, A. E. H. A Treatise on the Mathematical Theory of Elasticity, 4th Ed., Cambridge University Press, Cambridge (1952)

    Google Scholar 

  18. Hirano, T., Teraki, J., and Yamada, T. On the design of functionally gradient materials. Proceedings of the First International Symposium on Functionally Gradient Materials (eds. Yamanouchi, M., Koizumi, M., Hiral, T., and Shiota, I.), Sendai, Japan, 5–10 (1990)

  19. Koizumi, M. Functionally gradient materials, the concept of FGM. Ceramic Transactions 34, 3–10 (1993)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Sargodha, Sargodha, Punjab, Pakistan

    Zafar Iqbal, Nazra Sultana & Shahid Hussain Arshad

  2. Department of Mathematics, G. C. University Faisalabad, Punjab, Pakistan

    Muhammad Nawaz Naeem

  3. Department of Mathematics, The Islamia University of Bahawalpur, Punjab, Pakistan

    Abdul Ghafar Shah

Authors
  1. Zafar Iqbal
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Muhammad Nawaz Naeem
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Nazra Sultana
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Shahid Hussain Arshad
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Abdul Ghafar Shah
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Zafar Iqbal.

Additional information

Communicated by Hui-shen SHEN

Rights and permissions

Reprints and permissions

About this article

Cite this article

Iqbal, Z., Naeem, M.N., Sultana, N. et al. Vibration characteristics of FGM circular cylindrical shells filled with fluid using wave propagation approach. Appl. Math. Mech.-Engl. Ed. 30, 1393–1404 (2009). https://doi.org/10.1007/s10483-009-1105-x

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-009-1105-x

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

Search

Navigation