Random Wave Forces Near Free Surface
Publication: Journal of Waterway, Port, Coastal, and Ocean Engineering
Volume 116, Issue 2
Abstract
The present paper describes random wave forces acting on a slender structural member in the vicinity of the water surface, taking account of the intermittency of submergence. A brief review is initially given of available formulations for fully submerged portions of a member, these being based on the Morison equation applied in conjunction with linear wave theory. The Morison equation is generally linearized in order to estimate spectral densities, while its nonlinearity is retained in order to estimate probability densities and consequently extreme force values. For sections located near the free surface, the intermittency of submergence drastically alters the statistics of the water particle kinematics in the random wave field and consequently those of the wave forces. Expressions for the spectral density of the force and the probability density of the force maxima are derived. Numerical results relating to these and to the vertical distribution of extreme forces are presented, and the effects of including the intermittent submergence near the free surface are illustrated.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Anastasiou, K., Tickell, R. G., and Chaplin, J. R. (1982). “The nonlinear properties of random wave kinematics.” Proc., 3rd Int. Conf. on the Behavior of Offshore Structures, BOSS'82, Massachusetts Institute of Technology, 1, 493–515.
2.
Borgman, L. E. (1965). “Wave forces on piling for narrow‐band spectra.” J. Waterways and Harbors Div., ASCE, 91(3), 65–90.
3.
Borgman, L. E. (1967a). “Random hydrodynamic forces on objects.” Annals of Math. Statistics, 38(1), 37–51.
4.
Borgman, L. E. (1967b). “Spectral analysis of ocean wave forces on piling.” J. Waterways and Harbors Div., ASCE, 93(2), 129–156.
5.
Borgman, L. E. (1972). “Statistical models for ocean waves and wave forces.” Advances in Hydroscience, 8, 139–181.
6.
Bosma, J., and Vugts, J. H. (1981). “Wave kinematics and fluid loading in irregular waves.” Proc. Int. Symp. on Hydrodynamics in Ocean Engrg., Norwegian Institute of Technology, Trondheim, Norway, 136–165.
7.
Chakrabarti, S. K. (1980). “Laboratory generated waves and wave theories.” J. Waterway, Port, Coast, and Oc. Div., ASCE, 106(3), 349–368.
8.
Moe, G., and Crandall, S. H. (1978). “Extremes of morison‐type loading on a single pile.” J. Mech. Design, 100(1), 101–104.
9.
Ochi, M. K. (1982). “Stochastic analysis and probabilistic prediction of random seas.” Advances in Hydroscience, 13, 217–375.
10.
Pajouhi, K., and Tung, C. C. (1975a). “Statistics of random wave fields.” J. Waterway, Harbors and Coast. Engrg. Div., ASCE, 101(4), 435–449.
11.
Pajouhi, K., and Tung, C. C. (1975b). “Statistical properties of fluid motion and fluid force in a random wave field.” Report No. 75‐1, Center for Marine and Coastal Studies, North Carolina State Univ., Rayleigh, N.C.
12.
Pierson, W. J., and Holmes, P. (1965). “Irregular waves forces on a pile.” J. Waterways and Harbors Div., ASCE, 91(4), 1–10.
13.
Satyanarayana, M., and Elango, K. (1983). “Effect of free surface fluctuations on the probability density functions of wave kinematics.” Proc. Second Indian Conf. in Ocean Engrg., Central Water and Power Research Station, Pune, Dec., 31–41.
14.
Sarpkaya, T., and Isaacson, M. (1981). Mechanics of wave forces on offshore structures. Van Nostrand Reinhold, New York, N.Y.
15.
Tickell, R. G. (1977). “Continuous random wave loading on structural members.” The Struct. Engr., 55(5), 209–222.
16.
Tung, C. C. (1974). “Peak distributions of random wave‐current force.” J. Engrg. Mech. Div., ASCE, 100(1), 873–884.
17.
Tung, C. C. (1975a). “Statistical properties of wave force.” J. Engrg. Mech. Div., ASCE, 101(1), 1–11.
18.
Tung, C. C. (1975b). “Statistical properties of the kinematics and dynamics of random gravity wave field.” J. Fluid Mech., 70, 251–255.
Information & Authors
Information
Published In
Copyright
Copyright © 1990 ASCE.
History
Published online: Mar 1, 1990
Published in print: Mar 1990
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.