TECHNICAL PAPERS
Jan 19, 1996

Stochastic Response of Offshore Structures Excited by Drag Forces

Publication: Journal of Engineering Mechanics
Volume 122, Issue 5

Abstract

This paper describes a new method for representing hydrodynamic drag forces on a marine structure subjected to random waves. It is shown that the obtained force representation has the correct statistical properties to good approximation. A fair agreement can also be obtained between the spectral density of the force representation and that of the original drag force. The distinct advantage of the proposed representation is that it becomes possible to carry out a dynamic analysis of a linear structure in the frequency domain using available techniques, which are part of a larger packet that includes efficient tools for providing detailed statistical information about the response process. This has implications toward more efficient analyses of, for example, long-term fatigue of offshore structures.

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References

1.
Bendat, J. S., Palo, P. A., and Coppolino, R. N.(1992). “A general identification technique for nonlinear differential equations of motion.”Probabilistic Engrg. Mech., 7(1), 43–61.
2.
Borgman, L.(1967a). “Random hydrodynamic forces on objects.”Annals of Mathematical Statistics, 38(1), 37–51.
3.
Borgman, L.(1967b). “Spectral analysis of ocean wave forces on piling.”J. Wtrwy. and Harb. Div., ASCE, 93(2), 129–156.
4.
Cramér, H. (1946). Mathematical methods of statistics . Princeton University Press, Princeton, N.J.
5.
Cramér, H., and Leadbetter, R. M. (1967). Stationary and related stochastic processes . John Wiley, Inc., New York, N.Y.
6.
Donley, M. G., and Spanos, P. D. (1990). Introduction to statistical quadratization with applications to compliant offshore structures, Springer-Verlag Lecture Notes in Engineering, New York, N.Y.
7.
Gradshteyn, I. S., and Ryzhik, I. S. (1965). Tables of integrals, series and products . Academic Press, New York, N.Y.
8.
Grigoriu, M.(1984). “Extremes of wave forces.”J. Engrg. Mech., ASCE, 110(12), 1731–1742.
9.
Hu, S.-L. J., and Lutes, L. D.(1987). “Non-normal description of Morison-type wave forces.”J. Engrg. Mech., ASCE, 113(2), 196–209.
10.
Kareem, A., and Zhao, J.(1994). “Stochastic response analysis of tension leg platforms: A statistical quadratization and cubicization approach.”Proc., 13th Int. Conf. on Offshore Mech. and Arctic Engrg. (OMAE-94), ASME, New York, N.Y., 1, 281–292.
11.
Karunakaran, D., Gudmestad, O. T., and Spidsoe, N. (1992). “Nonlinear dynamic response analysis of dynamically sensitive slender offshore structures.”Proc., 11th Int. Conf. on Offshore Mech. and Arctic Engrg. (OMAE-92), ASME, New York, N.Y., 1A, 207–214.
12.
Lin, Y. K. (1967). Probabilistic theory of structural dynamics . McGraw-Hill Publ. Co., New York, N.Y.
13.
Loève, M. (1977). Probability Theory I, 4th Ed., Springer-Verlag, New York, N.Y.
14.
Moe, G., and Crandall, S. H.(1977). “Extremes of Morison-type wave loading on a single pile.”J. Mech. Des., 100(1), 100–104.
15.
Naess, A.(1987). “The response statistics of nonlinear, second-order transformations to Gaussian loads.”J. Sound and Vibration, 115(1), 103–129.
16.
Naess, A. (1992). “A simplified method for prediction of extreme sum-frequency response of a TLP in random waves.”Rep. R-4-92, Dept. of Struct. Engrg., The Norwegian Inst. of Technol., Trondheim, Norway.
17.
Naess, A. (1993). “Representation of drag forces on a marine structure for stochastic response analysis.”Rep. R-22-93, Dept. of Struct. Engrg., The Norwegian Inst. of Technol., Trondheim, Norway.
18.
Naess, A., Galeazzi, F., and Dogliani, M.(1992). “Extreme response predictions of nonlinear compliant offshore structures by stochastic linearization.”Appl. Oc. Res., 14(2), 71–81.
19.
Naess, A., and Ness, G. M.(1992). “Second-order, sum-frequency response statistics of tethered platforms in random waves.”J. Appl. Oc. Res., 14(1), 23–32.
20.
Naess, A., and Winterstein, S. R.(1993). “Stochastic linearization as a tool for fatigue damage estimation.”Proc., 12th Int. Conf. on Offshore Mech. and Arctic Engrg., ASME, New York, N.Y., 2, 237–242.
21.
Papoulis, A. (1965). Probability, random variables and stochastic processes . McGraw-Hill, Inc., New York, N.Y.
22.
Penzien, J.(1976). “Structural dynamics of fixed offshore structures.”Proc., 1st Int. Conf. on the Behaviour of Offshore Struct. (BOSS'76), The Norwegian Inst. of Technol., Trondheim, Norway, 1, 581–592.
23.
Pierson, W. J., and Holmes, P.(1965). “Irregular wave forces on a pile.”J. Wtrwy. and Harb. Div., ASCE, 91(4), 1–10.
24.
Sarpkaya, T., and Isaacson, M. (1981). Mechanics of wave forces . Van Nostrand Reinhold, New York, N.Y.
25.
Spanos, P. D., and Donley, M. G.(1991). “Equivalent statistical quadratization for nonlinear systems.”J. Engrg. Mech., ASCE, 117(6), 1289–1310.
26.
Tickell, R. G.(1977). “Continuous random wave loading on structural members.”The Struct. Engr., 55(6), 209–222.

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 122Issue 5May 1996
Pages: 442 - 448

History

Published online: Jan 19, 1996
Published in print: May 1, 1996

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Authors

Affiliations

Arvid Naess
Prof., Fac. of Civ. Engrg., Norwegian University of Science and Technol., N-7034 Trondheim, Norway.
Solomon C. S. Yim, Members, ASCE
Assoc. Prof., Oc. Engrg. Program, Civ. Engrg. Dept., Oregon State Univ., Corvallis, OR 97331.

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