International Journal of Ocean System Engineering

Korean Society of Ocean Engineers (한국해양공학회)
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Hydroelastic Effects in Vibration of Plate and Ship Hull Structures Contacted with Fluid

  • Lee, Jong-Soo (Department of Mechanical Engineering, Yonsei University) ;
  • Song, Chang-Yong (Department of Ocean Engineering, Mokpo National University)
  • Received : 2011.02.14
  • Accepted : 2011.05.02
  • Published : 2011.06.01
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Abstract

The present study deals with the hydroelastic vibration analysis of structures in contact with fluid via coupled fluid-structure interaction (FSI) embedded with a finite element method (FEM) such that a structure displacement formulation is coupled with a fluid pressure-displacement formulation. For the preliminary study and validation of FEM based coupled FSI analysis, hydroelastic vibration characteristics of a rectangular plate in contact with fluid are first compared with the elastic vibration in terms of boundary condition and mode frequency. Numerical results from coupled FSI analysis have been shown to be rational and accurate, compared to energy method based theoretical solutions and experimental results. The effect of free surface on the vibration mode is numerically studied by changing the submerged depth of a rectangular plate. As a practical application, the hull structural vibration of 4,000 twenty-foot equivalent units (TEU) container ship is considered. Hydroelastic results of the ship hull structure are compared with those obtained from the elastic condition.

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References

  1. O. C. Zienkiewicz and P. Bettes, Fluid-Structure Dynamic Interaction and Wave Forces: an Introduction to Numerical Treatment, Int J Numer Methods Eng, 13 (1978) 1–16. https://doi.org/10.1002/nme.1620130102
  2. T. Kumai, Added Mass Moment of Inertia Induced by Torsional Vibration of Ships, Journal of Japan Society of Naval Architects and Ocean Engineers, 1(1) (1959) 93–100.
  3. L. Landweber and M. C. de Macagno, Added Mass of Two–dimensional Forms Oscillating in a Free Surface, Journal of Ship Research, 1(3) (1957) 20–9.
  4. R. L. Townsin, Virtual Mass Reduction Factor J Values for Ship Vibration Calculations Derived from Tests with Beams Including Ellipsoids and Ship Models, Trans RINA, 111(3) (1969) 385–97.
  5. C. A. Brebbia, J. C. F. Telles and L. C. Wrobel, Boundary Element Techniques – Theory and Applications in Engineering, Berlin, Springer- Verlag (1984).
  6. F. Axisa, Modelling of Mechanical Systems, Vol. 3: Fluid–Structure Interaction, Amsterdam, Elsevier (2006).
  7. H. J. P. Morand and R. Ohayon, Fluid Structure Interaction, New York, Wiley (1995).
  8. J. F. Sigrist and S. Garreau, Dynamic Analysis of Fluid–structure Interaction Problems with Modal Methods using Pressure-based Fluid Finite Elements, Finite Elements in Analysis and Design, 43(4) (2007) 287–300. https://doi.org/10.1016/j.finel.2006.10.002
  9. K. T. Chung, On the Vibration of the Floating Elastic Body using Boundary Integral Method in Combination with Finite Element Method, Journal of the Society of Naval Architects of Korea, 24(4) (1987) 19–36.
  10. T. Chung, Y. B. Kim and H. S. Kang, Hydroelastic Vibration Analysis of Structure in Contact with Fluid, Journal of the Society of Naval Architects of Korea, 29(1) (1992) 18–28.
  11. B. Ugurlu and A. Ergin, A Hydroelastic Investigation of Circular Cylindrical Shells-Containing Flowing Fluid with Different End Conditions, J Sound Vib, 318(4–5) (2008) 1291–312. https://doi.org/10.1016/j.jsv.2008.05.006
  12. A. Ergin A and P. Temarel, Free Vibration of a Partially Liquid-Filled and Submerged, Horizontal Cylindrical Shell. J Sound Vib, 254(5) (2002) 951–65. https://doi.org/10.1006/jsvi.2001.4139
  13. S. H. Choi, K. S. Kim and S. W. Son, Analytical and Experimental Study on Vibration Characteristics for Rectangular Tank Structure Filled with Fluid, Journal of Korean Society for Noise and Vibration Engineering, 12(3) (2002) 195–203. https://doi.org/10.5050/KSNVN.2002.12.3.195
  14. Y. W. Kim and Y. S. Lee, Coupled Vibration Analysis of Liquid-filled Rigid Cylindrical Storage Tank with an Annular Plate Cover, J Sound Vib, 279(1–2) (2005) 217–35. https://doi.org/10.1016/j.jsv.2003.10.032
  15. K. H. Jeong and M. Amabili, Bending Vibration of Perforated Beams in Contact with a Liquid, J Sound Vib 298(1–2) (2006) 404–19. https://doi.org/10.1016/j.jsv.2006.05.029
  16. C. T. F. Ross, P. Köster, A. P. F. Little and G. Tewkesbury, Vibration of a Thin-walled Prolate Dome under External Water Pressure, Ocean Engineering, 34(3–4) (2007) 560–75. https://doi.org/10.1016/j.oceaneng.2006.01.013
  17. W. Wei, L. Junfeng and W. Tianshu, Modal Analysis of Liquid Sloshing with Different Contact Line Boundary Conditions using FEM, J Sound Vib, 317(3–5) (2008) 739–59. https://doi.org/10.1016/j.jsv.2008.03.070
  18. R. E. D. Bishop and W. G. Price, Hydroelasticity of Ships, Cambridge, Cambridge University Press (1979).
  19. W. G. Price and Y. Wu, Hydroelasticity of Marine Structures, London, Elsevier Science Publishers (1985).
  20. S. Aksu S and W. G. Price, K. R. Suhrbier and P. Temarel, A Comparative Study of the Dynamic Behaviour of a Fast Patrol Boat Travelling in Rough Seas, Marine Structures, 6(5–6) (1993) 421–41. https://doi.org/10.1016/0951-8339(93)90030-7
  21. W. G. Price, I. M. Salas and P. Temarel, The Dynamic Behaviour of a Mono-hull in Oblique Waves using Two- and Three-dimensional Fluid Structure Interaction Models, Trans RINA, 144 (2002) 1-26.
  22. S. E. Hirdaris, W. G. Price and P. Temarel, Two- and Three-dimensional Hydroelastic Analysis of a Bulker in Waves, Marine Structures, 16(8) (2003) 627–58. https://doi.org/10.1016/j.marstruc.2004.01.005
  23. K. Iijima, T. Yao and T. Moan, Structural Response of a Ship in Severe Seas Considering Global Hydroelastic Vibrations, Marine structures, 21(4) (2008) 420–45. https://doi.org/10.1016/j.marstruc.2008.03.003
  24. K. C. Kim, J. S. Kim and H. Y. Lee, An Experimental Study on the Elastic Vibration of Plates in Contact with Water, Journal of the Society of Naval Architects of Korea, 16(2) (1979) 1–7.
  25. MSC Software, MSC.NASTRAN User’s Manual Version 2008 (2008).
  26. S. S. Lee and M. C. Kim and D. R. Williamson, Implementation of a Fluid-structure Interaction Formulation using MSC/NASTRAN, MSC Aerospace Users' Conference, Newport Beach, California, #3597 (1997).
  27. M. Chargin and O. Gartmeier, A Finite Element Procedure for Calculating Fluid-structure Interaction using MSC/NASTRAN, NASA-TM-102857 (1990).
  28. R. N. Coppolino, A Numerically Efficient Finite Element Hydroelastic Analysis, Volume I: Theory and Results, NASA-CR-2662, (1976).
  29. R. D. Blevins, Formulas for Natural Frequency and Mode Shape, Florida, Krieger (1993).
  30. C. Y. Song, C. Y. Son and J. Y. Song, Bendingtorsion Vibration Characteristics of Large Structures Influenced by Coupling Effects, Journal of Korean Society for Noise and Vibration Engineering, 6(4) (1996) 431–38.