Fluid Bounding Effect on Natural Frequencies of Fluid-Coupled Circular Plates

  • Published : 2003.09.01

Abstract

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.

Keywords

References

  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 https://doi.org/10.1006/jsvi.1996.0158
  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 https://doi.org/10.1006/jsvi.1995.0109
  4. Chiba, M., 1994, 'Axisymmetric Free Hydro-elastic 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 https://doi.org/10.1006/jsvi.1994.1024
  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 https://doi.org/10.1115/1.3263384
  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 https://doi.org/10.1006/jsvi.1994.1325
  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 https://doi.org/10.12989/sem.2002.14.1.001
  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 https://doi.org/10.1115/1.2897209
  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 https://doi.org/10.1016/0022-460X(91)90696-H
  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 https://doi.org/10.1016/S0022-460X(84)80031-0
  11. Sneddon, Ian N., 1951, Fourier Transforms, McGraw-Hill. New York