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Numerical study on the resonance response of spar-type floating platform in 2-D surface wave

  • Choi, Eung-Young (KFX Airframe Analysis Team, Korea Aerospace Industries) ;
  • Cho, Jin-Rae (Department of Naval Architecture and Ocean Engineering, Hongik University) ;
  • Jeong, Weui-Bong (School of Mechanical Engineering, Pusan National University)
  • Received : 2016.06.24
  • Accepted : 2017.02.10
  • Published : 2017.07.10

Abstract

This paper is concerned with the numerical study on the resonance response of a rigid spar-type floating platform in coupled heave and pitch motion. Spar-type floating platforms, widely used for supporting the offshore structures, offer an economic advantage but those exhibit the dynamically high sensitivity to external excitations due to their shape at the same time. Hence, the investigation of their dynamic responses, particularly at resonance, is prerequisite for the design of spar-type floating platforms which secure the dynamic stability. Spar-type floating platform in 2-D surface wave is assumed to be a rigid body having 2-DOFs, and its coupled dynamic equations are analytically derived using the geometric and kinematic relations. The motion-variance of the metacentric height and the moment of inertia of floating platform are taken into consideration, and the hydrodynamic interaction between the wave and platform motions is reflected into the hydrodynamic force and moment and the frequency-dependent added masses. The coupled nonlinear equations governing the heave and pitch motions are solved by the RK4 method, and the frequency responses are obtained by the digital Fourier transform. Through the numerical experiments to the wave frequency, the resonance responses and the coupling in resonance between heave and pitch motions are investigated in time and frequency domains.

Keywords

Acknowledgement

Supported by : Hongik University

References

  1. Ansys AQWA. (2012), Available from: (http://www.ansys.com/products/aqwa/).
  2. Browning, J.R., Jonkman, J., Robertson, A. and Goupee, A.J. (2014), "Calibration and validation of a spar-type floating offshore wind turbine model using the FAST dynamic simulation tool", J. Physics, Conference Series, 555(1), 012015. https://doi.org/10.1088/1742-6596/555/1/012015
  3. Cho, J.R., Song, J.M. and Lee, J.K. (2001), "Finite element techniques for the free-vibration and seismic analysis of liquidstorage tanks", Finite Elem. Anal. Des., 37(6), 467-483. https://doi.org/10.1016/S0168-874X(00)00048-2
  4. Choi, E.Y., Cho, J.R., Cho, Y.U., Jeong, W.B., Lee, S.B., Hong, S.P. and Chun, H.H. (2015), "Numerical and experimental study on dynamic response of moored spar-type scale platform for floating offshore wind turbine", Struct. Eng. Mech., 54(5), 909-922. https://doi.org/10.12989/sem.2015.54.5.909
  5. Chujo, T., Ishida, S., Minami, Y., Nimura, T. and Inoue, S. (2011), "Model experiments on the motion of a SPAR type floating wind turbine in wind and waves", ASME 2011 International Conference Ocean Offshore Arctic Eng. OMAE2011, 655-662.
  6. Currie, I.G. (1974), Fundamental Mechanics of Fluids, New York, McGraw-Hill.
  7. Dean, R.G. and Dalrymple, R.A. (1984), Water Wave Mechanics for Engineers and Scientists, New Jersey, Prentice-Hall.
  8. Faltinsen, O.M. (1990), Sea Load on Ships and Offshore Structures, University of Cambridge.
  9. Haslum, H.A. and Faltinsen, O.M. (1999), "Alternative shape of spar platforms for use in hostile areas", Offshore Technology Conference OTC-10953-MS.
  10. Hong, Y.P., Lee, D.Y., Choi, Y.H., Hong, S.K. and Kim, S.E. (2005), "An experimental study on the extreme motion responses of a spar platform in the heave resonant waves", Fifteenth International Ocean Polar Engineering Conference ISOPE-I-05-033.
  11. Irani, M.M. and Finn, L. (2004), "Model testing for vortex induced motions of spar platforms", ASME 2004 International Conference Offshore Mech. Artic Eng. OMAE2004-51315, 605-610.
  12. Jeon, S.H., Cho, Y.U., Seo, M.W., Cho, J.R. and Jeong, W.B. (2013), "Dynamic response of floating substructure of spar-type offshore wind turbine with catenary mooring cables", Ocean Eng., 72, 356-364. https://doi.org/10.1016/j.oceaneng.2013.07.017
  13. Karimirad, M., Meissonnier, Q. and Gao, Z. (2011), "Hydroelastic code-to-code comparison for a tension leg spar-type floating wind turbine", Marine Struct., 24(4), 412-435. https://doi.org/10.1016/j.marstruc.2011.05.006
  14. Koo, B.J., Kim, M.H. and Randall, R.E. (2004), "Mathieu instability of a spar platform with mooring and risers", Ocean Eng., 31(17-18), 2175-2208. https://doi.org/10.1016/j.oceaneng.2004.04.005
  15. Kyoung, J.H., Hong, S.Y., Kim, B.W. and Cho, S.K. (2005), "Hydroelastic response of a very large floating structure over a variable bottom topology", Ocean Eng., 32(17), 2040-2052. https://doi.org/10.1016/j.oceaneng.2005.03.003
  16. Liao, S.W. and Yeung, R.W. (2001), "Investigation of the Matheiu instability of roll motion by a time-domain viscous-fluid method", 16th International Workshop Water Waves Floating Bodies, 97-100.
  17. Matos, V.L.F., Simos, A.N. and Sphaier, S.H. (2011), "Secondorder resonant heave, roll and pitch motions of a deep draft semi-submersible: Theoretical and experimental results", Ocean Eng., 38(17-18), 2227-2243. https://doi.org/10.1016/j.oceaneng.2011.10.005
  18. Radhakrishnan, S., Datla, R. and Hires, R.I. (2007), "Theoretical and experimental analysis of tethered buoy instability in gravity waves", Ocean Eng., 34(2), 261-274. https://doi.org/10.1016/j.oceaneng.2006.01.010
  19. Rho, J.B., Choi, H.S., Lee, W.C., Shin, H.S. and Park, I.K. (2002a), "Heave and pitch motions of a spar platform with damped plate", Twelfth International Ocean Polar Engineering Conference ISOPE-1-02-031.
  20. Rho, J.B., Choi, H.S., Shin, H.S. and Park, I.K. (2002b), "A study on Mathieu-type instability of conventional spar platform in regular waves", Twelfth International Ocean Polar Engineering Conference ISOPE-05-15-2-104.
  21. Roddier, D., Cermelli, C., Aubault, A. and Weinstein, A. (2010), "WindFloat: A floating foundation for offshore wind turbines", J. Renew. Sustainable Energy, 2(3), 033104. https://doi.org/10.1063/1.3435339
  22. Sorensen, R.M. (1978), Basic Coastal Engineering, New York, John Wiley.
  23. Tong, K.C. (1998), "Technical and economic aspects of a floating offshore wind farm", J. Wind Eng. Indust. Aerodyn., 74-76, 399-410. https://doi.org/10.1016/S0167-6105(98)00036-1
  24. Ye, X., Gao, Z., Moan, T. and Zhang, L. (2014), "Comparison of numerical and experimental analyses of motion response of a spar-type floating offshore wind turbine in waves", Twentyfourth International Ocean Polar Engineering Conference ISOPE-I-14-085.