TECHNICAL PAPERS
Aug 1, 1986

Response of Offshore Structures to Random Waves

Publication: Journal of Engineering Mechanics
Volume 112, Issue 8

Abstract

Probability density functions, mean crossing rates, and other descriptors are developed for the quasi‐static and dynamic responses of offshore platforms to wave forces. It is assumed that offshore platforms can be modeled by simple oscillators, the wave particle velocity is a stationary differentiable Gaussian process, Morison's equation can be applied, and wave forces are perfectly correlated spatially. Results show that both the quasi‐static response and the dynamic response of offshore platforms to wave forces are generally underestimated if the drag force is linearized. Estimates are developed for probabilistic characterictics of these responses based on the crossing theory of random processes and time‐discretization of the wave force process. Simulation studies indicate that these estimates are satisfactory.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
American Petroleum Institute Recommended Practice for Planning, Designing and Construction of Fixed Offshore Platforms, American Petroleum Institute, API RP 2A, 9th ed., Washington, D.C., Nov., 1977.
2.
Anagnostopoulos, S. A., “Dynamic Response of Offshore Platforms to Extreme Waves Including Fluid‐Structure Interaction,” Engineering Structures, Vol. 4, July, 1982, pp. 179–185.
3.
Borgman, L. E., “Ocean Wave Simulation for Engineering Design,” Journal of Waterways and Harbors Division, ASCE, Vol. 95, No. WW4, Nov., 1969, pp. 557–583.
4.
Borgman, L. E., “Random Hydrodynamic Forces on Objects,” Annals of Mathematical Statistics, Vol. 38, 1967, pp. 37–51.
5.
Borgman, L. E., “Statistical Models for Ocean Waves and Wave Forces,” Advances in Hydroscience, Vol. 8, 1972, pp. 139–181.
6.
Burrows, R., “Probabilistic Description of the Response of Offshore Structures to Random Loading,” Mechanics of Wave‐Induced Forces on Cylinders, T. L. Shaw, Ed., Pitman Advanced Publishing Program, San Francisco, Calif., 1979, pp. 577–595.
7.
Burrows, R., “Quasistatic Response of Offshore Structures Using Probabilistic Methods,” Applied Mathematical Modelling, Vol. 1, Sept., 1977, pp. 325–332.
8.
Cramer, H., and Leadbetter, M. R., Stationary and Related Stochastic Processes, John Wiley and Sons, New York, N.Y., 1967.
9.
Fish, P. R., Dean, R. B., and Heaf, N. J., “Fluid‐Structure Interaction in Morison's Equation for the Design of Offshore Structures,” Engineering Structures, Vol. 2, Jan., 1980, pp. 15–26.
10.
Grigoriu, M., “Dynamic Response of Offshore Platforms to Environmental Loads,” Proceedings of the 4th ASCE Specialty Conference on Probabilistic Mechanics and Structural Reliability, ASCE, Jan., 1984, pp. 115–118.
11.
Grigoriu, M., “Crossings of Non‐Gaussian Translation Processes,” Journal of Engineering Mechanics, ASCE, Vol. 110, No. EM4, Apr., 1984, pp. 610–620.
12.
Grigoriu, M., and Alibe, B., “Practical Approximations of Peak Wave Zones,” Research Report NBS‐GCR‐84‐481, National Bureau of Standards, Nov., 1984.
13.
Grigoriu, M., “Extremes of Wave Forces,” Journal of Engineering Mechanics Division, ASCE, Vol. 110, No. 12, Dec., 1984, pp. 1731–1742.
14.
Hallam, M. G., Heaf, N. J., and Wootton, L. R., Dynamics of Marine Structures: Methods of Calculating the Dynamic Response of Fixed Structures Subject to Wave and Current Action, CIRIA Under Water Engineering Group, Report UR8, London, England, Oct., 1978.
15.
Larrabee, R. D., and Cornell, C. A., “Combination of Various Load Processes,” Journal of the Structural Division, ASCE, Vol. 107, No. ST1, Proc. Paper 15999, Jan., 1981, pp. 223–239.
16.
Moe, G., “Long‐Term Wave‐Force Statistics for a Vertical Pile,” Coastal Engineering, Vol. 2, 1979, pp. 297–311.
17.
Moe, G., and Verley, R. L. P., “Hydrodynamic Damping of Offshore Structures in Waves and Currents,” Proceedings of the Offshore Technology Conference, Paper No. 3798, 1980, pp. 37–44.
18.
Morison, J. R., O'Brien, M. P., Johnson, J. W., and Scahff, S. A., “The Force Exerted by Surface Waves on Piles,” Petroleum Transactions, American Institute of Mining Engineers, Vol. 189, 1950, pp. 149–154.
19.
Naess, A., “Prediction of Extremes of Morison‐type Loading. An Example of General Methods,” Ocean Engineering, Vol. 10, No. 5, 1983, pp. 313–324.
20.
Sarpkaya, T., and Isaacson, M., Mechanics of Wave Forces on Offshore Structures, Van Nostrand Reinhold Company, New York, N.Y., 1981.
21.
Shinozuka, M., “Monte Carlo Solution of Structural Dynamics,” Computers and Structures, Vol. 2, 1972, pp. 855–873.
22.
Soong, T. T., Random Differential Equations in Science and Engineering, Academic Press, New York, N.Y., 1973.
23.
Spanos, P.‐T. D., and Chen, T. W., “Random Response to Flow‐Induced Forces,” Journal of Engineering Mechanics, ASCE, Vol. 107, No. 6, Dec., 1981, pp. 1173–1190.
24.
Tickell, R. G., “Continuous Random Wave Loading on Structural Members,” The Structural Engineer, Vol. 55, No. 5, May, 1977, pp. 209–222.
25.
Tung, C. C., “Peak Distribution of Random Wave‐Current Force,” Journal of the Engineering Mechanics Division, ASCE, Vol. 100, No. EM5, Proc. Paper 10843, Oct., 1976, pp. 873–884.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 112Issue 8August 1986
Pages: 729 - 744

History

Published online: Aug 1, 1986
Published in print: Aug 1986

Permissions

Request permissions for this article.

Authors

Affiliations

Mircea Grigoriu, M. ASCE
Assoc. Prof. of Civ. Engrg., Cornell Univ., Ithaca, NY 14853
Bunu Alibe
Former Grad. Student of Civ. Engrg., Cornell Univ., Ithaca, NY 14853

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.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share