Second‐Order Diffraction Loads on Truncated Cylinders
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 114, Issue 4
Abstract
A solution, exact to the second‐order in wave steepness, is presented for the hydrodynamic loading on a stationary, truncated circular cylinder in water of arbitrary uniform depth. Two situations are considered: the structure may either be completely submerged and resting on the seabed, or partially immersed in the free surface. The method employed to calculate the second‐order forces and moments due to the second‐order velocity potential does not involve the explicit calculation of this potential. Instead, the hydrodynamic loading components due to this potential are found by applying Green's second identity and solving a series of linear radiation problems at the second‐order wave frequency. Numerical results are presented for several example structures that illustrate the relative importance of the second‐order effects over a range of wave periods. In general, the components that are explicitly due to the second‐order potential are found to result in the dominant loading effects at that order.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Abramowitz, M., and Stegun, I. A. (1972). Handbook of mathematical functions. Dover Publications, Mineola, N.Y.
2.
Abul‐Azm, A. G., and Williams, A. N. (1987). “Second‐order wave loading on truncated circular cylinders in water of finite depth.” Research Report No. UHCE87‐1, Department of Civil Engineering, University of Houston, Houston, Tex.
3.
Chakrabarti, S. K. (1985). “Recent advances in high‐frequency wave forces on fixed structures.” J. Energy Resour. Technol., ASME, 107(3), 315–328.
4.
Dean, R. G., and Dalrymple, R. A. (1984). Water wave mechanics for engineers and scientists. Prentice Hall, Englewood Cliffs, N.J.
5.
Demirbilek, Z., and Gaston, J. D. (1985). “Nonlinear wave loads on a vertical cylinder.” Ocean Engrg., 12(5), 375–385.
6.
Eatock Taylor, R., and Hung, S. M. (1987). “Second‐order diffraction forces on a vertical cylinder in regular waves.” Appl. Ocean Res., 9(1), 19–30.
7.
Garrett, C. J. R. (1971). “Wave forces on a circular dock.” J. Fluid Mech., 46(part I), 129–139.
8.
Isaacson, M. de St. Q. (1979). “Wave forces on compound cylinders.” Proc., Civil Engineering in the Oceans IV, San Francisco, Calif., 518–530.
9.
Lighthill, M. J. (1979). “Waves and hydrodynamic loading.” Proc., Behaviour of Off‐Shore Structures Conference, BOSS'79, London, U.K.
10.
MacCamy, R. C., and Fuchs, R. A. (1954). “Wave forces on piles: a diffraction theory.” Tech. Memo. No. 69, Beach Erosion Board, U.S. Army Corps of Engineers, Washington, D.C.
11.
Molin, B. (1979). “Second‐order diffraction loads on three‐dimensional bodies.” Appl. Ocean Res., 1(4), 197–202.
12.
Molin, B., and Marion, A. (1985). “Etude au deuxieme ordre du comportement des corps fiottants en houle reguliere.” Report No. 33031, Institut Francais du Petrole, Rueil‐Malmaison, France, (in French).
13.
Molin, B., and Marion, A. (1986). “Second‐order loads and motions for floating bodies in regular waves.” Proc., 5th Int. Offshore Mechanics and Arctic Engineering Symp., Tokyo, Japan, 353–360.
14.
Qui, D.‐H., and Wang, Y.‐X. (1986). “The nonlinear wave force on large cylinder.” Proc., 5th Int. Offshore Mechanics and Arctic Engineering Symp., Tokyo, Japan, 212–217.
15.
Rahman, M. (1987). “A design method of predicting second‐order wave diffraction caused by large offshore structures.” Ocean Engrg., 14(1), 1–18.
16.
Sarpkaya, T., and Isaacson, M. (1981). “Mechanics of wave forces on offshore structures.” Van Nostrand Reinhold, New York, N.Y.
17.
Stoker, J. J. (1957). Water waves: the mathematical theory with applications. Wiley Interscience, New York, N.Y.
18.
Stokes, G. G. (1847). “On the theory of oscillatory waves.” Trans., Cambridge Philosophical Society, 8, 441–455.
Information & Authors
Information
Published In
Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 114 • Issue 4 • July 1988
Pages: 436 - 454
Copyright
Copyright © 1988 ASCE.
History
Published online: Jul 1, 1988
Published in print: Jul 1988
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.