Browse > Article
http://dx.doi.org/10.12989/sem.2018.65.5.513

Resonant response of spar-type floating platform in coupled heave and pitch motion  

Choi, E.Y. (KFX Airframe Analysis Team, Korea Aerospace Industries)
Cho, J.R. (Department of Naval Architecture and Ocean Engineering, Hongik University)
Jeong, W.B. (School of Mechanical Engineering, Pusan National University)
Publication Information
Structural Engineering and Mechanics / v.65, no.5, 2018 , pp. 513-521 More about this Journal
Abstract
In this paper, the resonance response of spar-type floating platform in coupled heave and pitch motion is investigated using a CPU time-effective numerical method. A coupled nonlinear 2-DOF equation of motion is derived based on the potential wave theory and the rigid-body hydrodynamics. The transient responses are solved by the fourth-order Runge-Kutta (RK4) method and transformed to the frequency responses by the digital Fourier transform (DFT), and the first-order approximation of heave response is analytically derived. Through the numerical experiments, the theoretical derivation and the numerical formulation are verified from the comparison with the commercial software AQWA. And, the frequencies of resonance arising from the nonlinear coupling between heave and pitch motions are investigated and justified from the comparison with the analytically derived first-order approximation of heave response.
Keywords
spar-type floating platform; heave and pitch motions; coupled nonlinear equations; coupled resonance response; resonance frequencies; first-order approximation;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
연도 인용수 순위
1 Agamloh, E.B., Wallace, A.K. and von Jouanne, A. (2008), "Application of fluid-structure interaction simulation of an ocean wave energy extraction device", Renew. Energy, 33, 748-757.   DOI
2 Ansys AQWA (2012), Available from: (http://www.ansys.com/products/aqwa/).
3 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. Phys. Conf. Ser., 555, 012015.   DOI
4 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, 467-483.   DOI
5 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.   DOI
6 Currie, I.G. (1974), Fundamental Mechanics of Fluids, McGraw-Hill, New York.
7 Dalzell, J.F. (1999), "A note on finite depth second-order wavewave interactions", Appl. Ocean Res., 21, 105-111.   DOI
8 Dean, R.G. and Dalrymple, R.A. (1984), Water Wave Mechanics for Engineers and Scientists, Prentice-Hall, Englewood Cliffs, New Jersey.
9 Haslum, H.A. and Faltinsen, O.M. (1999) "Alternative shape of spar platforms for use in hostile areas", Offshore Technology, Houston, Texas, OTC-10953-MS.
10 Hong, Y.P., Lee, D.Y. and Choi, Y.H. (2005), "An experimental study on the extreme motion responses of a SPAR platform in the neave resonant waves", Proceedings of the 5th International Offshore Polar Engineering Conference, Seoul, Korea, June.
11 Irani, M.M. and Finn, L. (2004), "Model testing for vortex induced motions of spar platforms", ASME 2004 23rd International Conference Offshore Mechanics and Arctic Engineering, 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.   DOI
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.   DOI
14 Kim, J.M., Chang, S.H. and Yun, C.B. (2002), "Fluid-structuresoil interaction analysis of cylindrical liquid storage tanks subjected to horizontal earthquake loading", Struct. Eng. Mech., 13(6), 615-638.   DOI
15 Kriebel, D.L. (1998), "Nonlinear wave interaction with a vertical circular cylinder: wave forces", Ocean Eng., 25(7), 597-605.   DOI
16 Rho, J.B., Choi, H.S. and Lee, W.C. (2002), "Heave and pitch motion of a spar platform with damping plate", Proceedings of the 12th International Offshore Polar Engineering Conference, Kitakyshu, Japan, May.
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.   DOI
18 Olinger, D.J., DeStefano, E., Murphy, E. and Naqvi, S. (2012), "Scale-model experiments on floating wind turbine platforms", 50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, Nashville, Tennessee, AIAA 2012-0375.
19 Pinkster, J.A. (1980), Low Frequency Second Order Wave Exciting Forces on Floating Structures, Thesis, TU Delft.
20 Rho, J.B., Choi, H.S. and Lee, WC. (2004), "Vertical motion characteristics of truss spars in waves", Proceedings of the International Offshore Polar Engineering Conference, Toulon, France, May.
21 Sahin, I., Crane, J.W. and Watson, K.P. (1997), "Application of a panel method to hydrodynamics of underwater vehicles", Ocean Eng ., 24(6), 501-512.   DOI
22 Sorensen, R.M. (1978), Basic Coastal Engineering, John Wiley, New York.
23 Utsunomiya, T., Nishida, E. and Sato, I. (2009), "Wave response experiment on spar-type floating bodies for offshore wind turbine", Nineteenth International Offshore Polar Engineering Conference, Osaka, Japan.
24 Wang, C.Z. and Wu, G.X. (2007), "Time domain analysis of second-order wave diffraction by an array of vertical cylinders", J. Fluid. Struct., 23, 605-631.   DOI
25 Wang, H.F., Fan, Y.H. and Moreno, I. (2016), "Analysis of a preliminary configuration for a floating wind turbine", Struct. Eng. Mech., 59(3), 559-577.   DOI
26 Zhao, J., Tang, Y. and Shen, W. (2010), "A study on the combination resonance response of a classic spar platform", J. Vib. Control, 16, 2083-2107.   DOI