Effect of Nonlinear Wave Kinematics on Dynamic Response of Spars
Publication: Journal of Engineering Mechanics
Volume 128, Issue 9
Abstract
The difference between various approximate methods to compute the wave kinematics and forces acting on a Spar platform up to the instantaneous free water surface is investigated. Three types of procedures are considered; i.e., extrapolation, stretching (both simple extensions of linear wave theory) and the hybrid wave model (which involves decomposition of the incident wave into first- and second-order components). Of particular interest for the dynamic response of a Spar are the nonlinear (second- and higher-order) low-frequency forces. The effects of the different procedures are compared analytically and numerically for the inertia forces using Morison et al.’s equation as reported in 1950, but the conclusions can be extended to diffraction theory formulations.
Get full access to this article
View all available purchase options and get full access to this article.
References
Cao, P., and Zhang, J. (1996). “Slow motion responses of compliant offshore structures.” Proc., 6th Int. Symposium Offshore and Polar Engineering, Vol. 1, Los Angeles, 296–303.
Chakrabarti, S. K.(1971). “Discussion of dynamics of single point mooring in deep water.” J. Waterw., Port, Coastal, Ocean Eng., 97(3), 588–590.
Jha, A. K., de Jong, P. R., and Winterstein, S. R.(1997). “Motions of a Spar buoy in random seas: Comparing predictions and model test results.” Beh. Offshore Str.-97, 2, 333–347.
Kim, M. H., and Yue, D. K. P.(1990). “The complete second-order diffraction solution for an axisymmetric body. II: Bichromatic incident waves and body motions.” J. Fluid Mech., 211, 557–593.
Mekha, B. B., Johnson, C. P., and Roesset, J. M. (1995). “Nonlinear response of a Spar in deep water: Different hydrodynamic and structural models.” Proc., 5th Int. Symposium Offshore and Polar Engineering, Vol. III, The Hague, The Netherlands, 462–469.
Morison, J. R., O’Brien, M. P., Johnson, J. W., and Shaaf, S. A.(1950). “The force exerted by surface waves on piles.” Pet. Trans., 189, 149–157.
Rainey, R. C. T.(1989). “A new equation for calculating wave loads on offshore structures.” J. Fluid Mech., 204, 295–324.
Ran, Z., Kim, M. H., Niedzwecki, J. M., and Johnson, R. P. (1996). “Responses of a Spar platform in random waves and currents (experiment versus theory).” Proc., 5th Int. Symposium Offshore and Polar Engineering, Vol. III, The Hague, The Netherlands, 363–371.
Weggel, D. C., and Roesset, J. M. (1996). “Second-order dynamic response of a large diameter Spar platform: Numerical predictions versus experimental results.” Offshore Mech. Arctic Engineering Conf., Vol. I, Florence, Italy, 489–496.
Wheeler, J. D. (1969). “Method for calculating forces produced by irregular waves.” Proc., 1st Offshore Technical Conf., Vol. 4, Houston, 89–93.
Zhang, J., Chen, L., Ye, M., and Randall, R. E.(1995). “Hybrid wave model for unidirectional irregular waves. I: Theory and numerical scheme.” Appl. Ocean. Res., 18, 77–92.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 128 • Issue 9 • September 2002
Pages: 925 - 934
Copyright
Copyright © 2002 American Society of Civil Engineers.
History
Received: Feb 23, 2001
Accepted: Jan 27, 2002
Published online: Aug 15, 2002
Published in print: Sep 2002
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.