Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Fluid bounding effect on natural frequencies of fluid-coupled circular plates

  • 291 Accesses

  • 6 Citations


This study deals with the free vibration of two identical circular plates coupled with a bounded or unbounded fluid. An analytical method based on the finite Fourier-Bessel series expansion and Rayleigh-Ritz method is suggested. The proposed method is verified by the finite element analysis using commercial program with a good accuracy. The case of bounded or unbounded fluid is studied for the effect on the vibration characteristics of two circular plates. Also, the effect of gap between the plates on the fluid-coupled natural frequencies is investigated.

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


  1. Amabili, M., Frosali, G. and Kwak. M. K., 1996, “Free Vibrations of Annular Plates Coupled with Fluids,”Journal of Sound and Vibration. Vol. 91, pp. 825–846.

  2. ANSYS, 2001,ANSYS Structural Analysis Guide, ANSYS, Inc., Houston.

  3. Bauer, H. F., 1995, “Coupled Frequencies of a Liquid in a Circular Cylindrical Container with Elastic Liquid Surface Cover,”Journal of Sound and Vibration, Vol. 180, pp. 689–694.

  4. Chiba, M., 1994, “Axisymmetric Free Hydroelastic Vibration of a Flexural Bottom Plate in a Cylindrical Tank Supported on an Elastic Foundation,”Journal of Sound and Vibration, Vol. 169, pp. 387–394.

  5. De Santo, D. F., 1981, “Added Mass and Hydrodynamic Damping of Perforated Plates Vibrating in Water,”Transaction of the ASME, Journal of Pressure Vessel Technology, Vol. 103, pp. 175–182.

  6. Hagedorn, P., 1994, “A Note on the Vibrations of Infinite Elastic Plates in Contact with Water,”Journal of Sound and Vibration, Vol. 175, pp. 233–240.

  7. Jhung, M. J., Jeong, K. H. and Hwang, W. G., 2002, “Modal Analysis of Eccentric Shells with Fluid-Filled Annulus,”Structural Engineering and Mechanics, Vol. 14, No. 1, pp. 1–20.

  8. Kwak, M. K., 1991, “Vibration of Circular Plates in Contact with Water,”Transaction of the ASME, Journal of Applied Mechanics, Vol. 58, pp. 480–483.

  9. Kwak, M.K. and Kim, K. C., 1991, “Axisymmetric Vibration of Circular Plates in Contact with Fluid,”Journal of Sound and Vibration, Vol. 146, pp. 381–389.

  10. Montero de Espinosa, F. and Gallego-Juarez, J. A., 1984, “On the Resonance Frequencies of Water-Loaded Circular Plate,”Journal of Sound and Vibration, Vol. 94, pp. 217–222.

  11. Sneddon, Ian N., 1951,Fourier Transforms, McGraw- Hill, New York.

Download references

Author information

Correspondence to Myung Jo Jhung or Young Hwan Choi or Kyeong Hoon Jeong.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Jhung, M.J., Choi, Y.H. & Jeong, K.H. Fluid bounding effect on natural frequencies of fluid-coupled circular plates. KSME International Journal 17, 1297–1315 (2003). https://doi.org/10.1007/BF02982471

Download citation

Key Words

  • Circular Plate
  • Fourier-Bessel Series
  • Rayleigh-Ritg Method
  • Fluid-Coupled System
  • In-Phase
  • Out-of-Phase
  • Normaliged Frequency