Second-Order Superharmonic Wave Loading on Jack-Up Platforms
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 127, Issue 6
Abstract
Different types of second-order superharmonic wave forces acting on jack-up platforms are studied. The nonlinear effect of variable wave surface (i.e., the inundation effect) is found to be the most significant. It is shown that a concentrated force acting at the mean water level of the structure can be used to represent the effect of the variable wave surface. The nonlinear transfer function of the modal wave force, with the inundation effect included, is derived. Frequency-domain analyses of the nonlinear wave force and structural response of a jack-up platform, modeled as a linear structure, are carried out to show the effect of inundation. The response spectral density functions obtained from the frequency-domain analysis are also compared with the spectra of time-domain simulations based on wave kinematics predicted by the Wheeler stretching and vertical uniform extrapolation methods.
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References
1.
Bendat, J. S. ( 1995). Nonlinear systems techniques and applications, Wiley, New York.
2.
Borgman, L. E. (1967). “Spectral analysis of ocean wave forces on piling.”J. Wtrwy. and Harb. Div., ASCE, 129, 0129–156.
3.
Borgman, L. E. (1969). “Ocean wave simulation for engineering design.”J. Wtrwy. and Harb. Div., ASCE, 557, 0557–583.
4.
Fenton, J. D. (1985). “A fifth-order Stokes theory for steady waves.”J. Wtrwy., Port, Coast., and Oc. Engrg., 111(2), 216–234.
5.
Gudmestad, O. T., and Connor, J. J. ( 1983). “Linearization methods and the influence of current on the nonlinear hydrodynamic drag force.” Appl. Oc. Res., 5(4), 184–194.
6.
Gudmestad, O. T., and Poumbouras, G. A. ( 1988). “Time and frequency domain wave forces on offshore structures.” Appl. Oc. Res., 10(1), 43–46.
7.
Kjeøy, H., Bøe, N. G., and Hysing, T. ( 1990). “Extreme-response analysis of jack-up platforms.” The jack-up drilling platform: Design, construction, and operation, L. F. Boswell and C. A. D'Mello, eds., 125–154.
8.
Liaw, C. Y. ( 2000). “Inundation effect of wave forces on jack-up platforms.” Proc., 10th Int. Offshore and Polar Engrg. Conf., 351–355.
9.
Lighthill, J. ( 1979). “Waves and hydrodynamic loading.” Proc., 2nd Int. Conf. on the Behaviour of Off-Shore Struct. (BOSS), Vol. 1, BHRA Fluid Engineering, Cranfield, U.K., 1–40.
10.
Lighthill, J. ( 1986). “Fundamentals concerning wave loading on offshore structures.” J. Fluid Mech., Cambridge, U.K., 173, 667–681.
11.
Manners, W., and Rainey, R. C. T. ( 1992). “Hydrodynamic forces on fixed submerged cylinders.” Proc., Royal Soc. of London, A(436), 13–32.
12.
Mo, O., and Moan, T. ( 1984). “Environmental load effect analysis of guyed tower.” Proc., 3rd Int. Offshore Mech. Arctic Engrg. Symp.
13.
Naess, A., Krohn, L. J. H., and Pisano, A. A. ( 1997). “An alternative stochatic representation of drag forces on offshore structures for dynamic analyses.” J. Offshore Mech. and Arctic Engrg., 119(3), 178–183.
14.
Naess, A., and Yim, S. C. S. ( 1995). “A stochastic model for drag forces on marine structures for hydrodynamic analyses.” Application of statistics and probability, Lemaire, Favre, and Mébarki, eds., Balkema, Rotterdam, The Netherlands, 659–665.
15.
Nayfeh, A. H., and Mook, D. T. ( 1979). Nonlinear oscillations, Wiley, New York.
16.
Rahman, M. ( 1998). “Nonlinear hydrodynamic loading on offshore structures.” Theoretical and Computational Fluid Dyn., 10, 323–347.
17.
Rainey, R. C. T. ( 1989). “A new equation for calculating wave loads on offshore structures.” J. Fluid Mech., Cambridge, U.K., 204, 295–324.
18.
Rainey, R. C. T. ( 1995). “Slender-body expressions for the wave load on offshore structures.” Proc., Royal Soc. of London, A, 391–416.
19.
Rugh, W. J. ( 1981). Nonlinear system theory: The Volterra/Wiener approach, Johns Hopkins University Press, Baltimore.
20.
Society of Naval Architects and Marine Engineers (SNAME). ( 1994). Recommended practice for site specific assessment of mobile jack-up units, 1st Ed.
21.
Spanos, P. D., and Donley, M. G. (1991). “Equivalent statistical quadratization for nonlinear systems.”J. Engrg. Mech., ASCE, 117(6), 1289–1310.
22.
Spidsøe, N., and Karunankaran, D. ( 1993). “Nonlinear dynamic behavior of jack-up platforms.” Proc., 4th Int. Conf. on Jack-Up Platform, Des., Constr., and Operation, Bentham Press, London.
23.
Steele, K. M., Finn, L. D., and Lambrakos, K. F. ( 1988). “Compliant tower response prediction procedures.” Proc., 20th Offshore Technol. Conf., 345–354.
24.
Zheng, X. Y., and Liaw, C. Y. ( 2000). “Statistical quadratization for wave inundation force.” Proc., 13th KKNN Seminar on Civ. Engrg., 207–212.
Information & Authors
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Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 127 • Issue 6 • December 2001
Pages: 319 - 326
History
Received: Nov 30, 1999
Published online: Dec 1, 2001
Published in print: Dec 2001
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