Nuclear Engineering and Technology

Korean Nuclear Society (한국원자력학회)
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HYDROELASTIC VIBRATION ANALYSIS OF TWO FLEXIBLE RECTANGULAR PLATES PARTIALLY COUPLED WITH A LIQUID

  • Jeong, Kyeong-Hoon (SMART Development Division, Korea Atomic Energy Research Institute) ;
  • Kim, Jong-Wook (SMART Development Division, Korea Atomic Energy Research Institute)
  • Published : 2009.04.30
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Abstract

This paper deals with a hydroelastic vibration analysis of two rectangular plates partially coupled with a liquid, which is bounded by two plates and two rigid side walls. The wet displacement of each plate is assumed to be a combination of the modal functions of a dry uniform beam with a clamped boundary condition. As the liquid is assumed to be an ideal liquid, the displacement potential satisfying the Laplace equation is determined so that the liquid boundary conditions can meet the requirements at the rigid surfaces and the free liquid surface. The wet dynamic modal functions of each plate are expanded by using the finite Fourier transform to obtain an appropriate form of the compatibility requirement along the contacting surfaces between the plates and the liquid. The liquid-coupled natural frequencies of the plates are derived by using the Rayleigh-Ritz method. Finite element analyses using commercial software are carried out to verify the proposed theory. It is observed that the theoretical method agrees excellently with the three-dimensional finite element analyses results. The effects of the liquid depth and the liquid thickness on the normalized natural frequencies are investigated to identify the dynamic characteristics of the liquid coupled system.

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References

  1. N. J. Robinson and S. C. Palmer, “A modal analysis of a rectangular plate floating on an incompressible liquid,” J. Sound Vibr. , 142(3), 453-460 (1990) https://doi.org/10.1016/0022-460X(90)90661-I
  2. M. K. Kwak, “Hydroelastic vibration of rectangular plates,” Trans. Amer. Society Mech. Eng., J. Appl. Mech., 63, 110- 115, (1996) https://doi.org/10.1115/1.2787184
  3. Y. K. Cheung and D. Zhou, “Coupled vibratory characteristics of a rectangular container bottom plate,” J. Fluids Struct., 14(3), 339-357, (2000) https://doi.org/10.1006/jfls.1999.0272
  4. D. Zhou and Y. K. Cheung, “Vibration of vertical rectangular plate in contact with water on one side,” Earthquake Eng. Struct. Dynamics, 29(5), 693-710, (2000) https://doi.org/10.1002/(SICI)1096-9845(200005)29:5<693::AID-EQE934>3.0.CO;2-V
  5. Y. Fu and W. G. Price, “Interactions between a partially or totally immersed vibrating cantilever plate and the surrounding fluid,” J. Sound Vibr., 118(3), 495-513, (1987) https://doi.org/10.1016/0022-460X(87)90366-X
  6. M. R. Haddara and S. Cao, “A study of the dynamic response of submerged rectangular flat plates,” Marine Struct., 9(10), 913-933, (1996) https://doi.org/10.1016/0951-8339(96)00006-8
  7. C. C. Liang, C. C. Liao, Y. S. Tai, W. H. Lai, “The free vibration analysis of submerged cantilever plates,” Ocean Eng., 28(9), 1225-1245, (2001) https://doi.org/10.1016/S0029-8018(00)00045-7
  8. A. Ergin and B. Ugurlu, “Linear vibration analysis of cantilever plates partially submerged in fluid,” J. Fluids Struct., 17(7), 927-939, (2003) https://doi.org/10.1016/S0889-9746(03)00050-1
  9. Y. Yadykin, V. Tenetov and D. Levin, “The added mass of a flexible plate oscillating in a fluid,” J. Fluids Struct., 17(1), 115-123, (2003) https://doi.org/10.1016/S0889-9746(02)00100-7
  10. K. H. Jeong, G. H. Yoo, and S. C. Lee, “Hydroelastic vibration of two identical rectangular plates,” J. Sound Vibr., 272(3-5), 539-555, (2004) https://doi.org/10.1016/S0022-460X(03)00383-3
  11. K. H. Jeong, “Free vibration of two identical circular plates coupled with bounded fluidm,” J. Sound Vibr., 260(4), 653-670, (2003) https://doi.org/10.1016/S0022-460X(02)01012-X
  12. K. H. Jeong, “Hydroelastic vibration of two annular plates coupled with a bounded fluid,” J. Fluids Struct., 22(8), 1079-1096, (2006) https://doi.org/10.1016/j.jfluidstructs.2006.07.001
  13. K. H. Jeong, J. I. Kim, and J. S. Park, “Free vibration analysis of fluid vessel with annular and circular plates,” Trans. Korean Society for Noise and Vibr. Eng., 15(8), 968-974 (in Korean), (2005) https://doi.org/10.5050/KSNVN.2005.15.8.968
  14. D. Zhou and W. Liu, “Hydroelastic vibrations of flexible rectangular tanks partially filled with liquid,” Int. J. Num. Methods in Eng., 71(2): 149-174, (2007) https://doi.org/10.1002/nme.1921
  15. R. D. Blevins, Formulas for natural frequency and mode shape, New York: Van Nostrand Reinhold, (1979)
  16. K. H. Jeong and S. C. Lee, “Hydroelastic vibration of a liquid-filled circular cylindrical shell,” Comput. Struct., 66(2-3), 173-185, (1998) https://doi.org/10.1016/S0045-7949(97)00086-2

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