Polynomial Approximations of Wave Loading and Superharmonic Responses of Fixed Structures

[+] Author and Article Information
Chih Young Liaw, Xiang Yuan Zheng

Department of Civil Engineering, National University of Singapore, 117576 Singapore

J. Offshore Mech. Arct. Eng 125(3), 161-167 (Jul 11, 2003) (7 pages) doi:10.1115/1.1576818 History: Received September 01, 2001; Revised May 01, 2002; Online July 11, 2003
Copyright © 2003 by ASME
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Schetzen, M., 1980, The Volterra and Wiener Theories of Nonlinear Systems, John Wiley & Sons, New York.
Bendat, J. S., 1997, Nonlinear Systems Technique and Applications, John Wiley & Sons, New York.
Borgman,  L. E., 1969, “Ocean Wave Simulation for Engineering Design,” ASCE Journal of Waterways and Harbours Divisions, 95(4), pp. 557–583.
Spanos,  P. T., and Chen,  T. W., 1981, “Random Response to Flow-Induced Forces,” J. Eng. Mech. Div., 107(6), pp. 1173–1190.
Gudmestad,  O. T., and Connor,  J. J., 1983, “Linearization Methods and The Influence of Current on the Nonlinear Hydrodynamic Drag Force,” Journal of Applied Ocean Research, 5(4), pp. 184–194.
Gudmestad,  O. T., and Poumbouras,  G. A., 1988, “Time and Frequency Domain Wave Forces on Offshore Structures,” Journal of Applied Ocean Research, 10(1), pp. 43–46.
Kareem, A., and Zhao, J., 1994, “Stochastic Response Analysis of Tension Leg Platforms: A Statistical Quadratization and Cubicization Approach,” Proceedings OMAE’94 Conference, ASME, pp. 281–292.
Li,  X. M., Quek,  S. T., and Koh,  C. G., 1995, “Stochastic Response of Offshore Platform by Statistical Cubicization,” J. Eng. Mech. Div., 121(10), pp. 1056–1068.
Bouyssy,  V., and Rackwitz,  R., 1997, “Polynomial Approximation of Morison Wave Loading,” ASME J. Offshore Mech. Arct. Eng., 119, pp. 30–36.
Tognarelli,  M. A., Zhao,  J. R., Rao,  K. B., and Kareem,  A., 1997, “Equivalent Statistical Quadratization and Cubicization for Nonlinear Systems,” J. Eng. Mech. Div., 123(5), pp. 512–523.
Liaw,  C. Y., 1987, “Subharmonic Response of Offshore Structures,” J. Eng. Mech. Div., 113(3), pp. 366–377.
Liaw,  C. Y., 1989, “Numerical Modeling and Subharmonic Bifurcations of a Compliant Cylinder Exposed to Waves,” ASME J. Offshore Mech. Arct. Eng., 111, pp. 29–36.
Paik,  I., and Rosset,  J. M., 1997, “Application of Higher Order Transfer Function in Modeling Nonlinear Dynamics Behavior of Offshore Structures,” Int. J. Offshore Polar Eng., 7(4), pp. 301–307.
Liaw,  C. Y., 1988, “Bifurcations of Subharmonics and Chaotic Motions of Articulated Towers,” Eng. Struct., 10, pp. 117–124.
Liaw,  C. Y., Shankar,  N. J., and Chua,  K. S., 1992, “Subharmonic Motions and Wave Force-Structure Interaction,” Mar. Struct., 5, pp. 281–295.
Lighthill J., 1979, “Waves and Hydrodynamic Loading,” Proceedings, 2nd International Conference on the Behavior of Off-Shore Structures (BOSS), 1 , pp. 1–40.
Tickell, R. G., and Bishop, J. R., 1985, “Analysis of Waves Forces at the Christchurch Bay Tower,” Proceedings, 4th International Offshore Mechanics and Arctic Eng Symposium (OMAE), Dallas, 1, pp. 142–150.
Isaacson,  M., and Baldwin,  J., 1990, “Random Wave Forces Near Free Surface,” ASCE Journal of Waterway, Port, Coastal and Ocean Engineering, 116(2), pp. 232–251.
Li,  Y. S., and Kareem,  A., 1993, “Multivariate Hermite Expansion of Hydrodynamic Drag Loads on Tension Leg Platforms,” J. Eng. Mech. Div., 119(1), pp. 91–112.
Hu,  J. H., Gupta,  M., and Zhao,  D., 1995, “Effects of Wave Intermittency/Nonlinearity on Forces and Responses,” J. Eng. Mech. Div., 121(7), pp. 819–827.
Tung,  C. C., 1995, “Effects of Free Surface Fluctuation on Total Wave Forces on Cylinder,” J. Eng. Mech. Div., 121(2), pp. 274–280.
Liaw,  C. Y., and Zheng,  X. Y., 2001, “Inundation Effect of Wave Forces on Jackup Platforms,” Int. J. Offshore Polar Eng., 11(2), pp. 87–92.
Rainey,  R. C. T., 1989, “A New Equation for Calculating Wave Loads on Offshore Structures,” J. Fluid Mech., 204, pp. 295–324.
Manners,  W., and Rainey,  R. C. T., 1992, “Hydrodynamic Forces on Fixed Submerged Cylinders,” Proc. R. Soc. London, Ser. A, 436, pp. 13–32.
Rainey,  R. C. T., 1995, “Slender-Body Expressions for the Wave Load on Offshore Structures,” Proc. R. Soc. London, Ser. A, 450, pp. 391–416.
Kareem,  A., Hsieh,  C. C., and Tognarelli,  M. A., 1998, “Frequency-Domain Analysis of Offshore Platform in Non-Gaussian Seas,” J. Eng. Mech. Div., 124(6), pp. 668–683.
Nayfeh,  A. M., and Wang,  H., 1983, “Probabilistic Model of Wave Forces on Cylindrical Pile,” ASCE Journal of Waterway, Port, Coastal and Ocean Engineering, 109(2), pp. 147–163.
Liaw,  C. Y., Naik,  T., and Koh,  C. G., 2001, “Second-order Superharmonic Wave Loading on Jack-up Platforms,” ASCE Journal of Waterway, Port, Coastal and Ocean Engineering, 127(6), pp. 319–326.
Hu,  S.-L. J., and Muin,  M., “Dynamic Response Statistics of Linear System Under Morison-Type Wave Force,” ASME J. Offshore Mech. Arct. Eng., 112, pp. 42–52.
Naess,  A., and Yim,  C. S. S., 1996, “Stochastic Response of Offshore Structures Excited by Drag Forces,” J. Eng. Mech. Div., 122(5), pp. 442–448.
Tung,  C. C., 1975, “Statistical Properties of Wave Force,” J. Eng. Mech. Div., 100(1), pp. 1–11.
Sarpkaya, T., and Isaacson, M., 1981, Mechanics of Wave Forces on Offshore Structures, Van Nostrand Reinhold Company, 1981.
Zheng, X. Y., and Liaw, C. Y., (submitted), “Response Spectrum Estimation for Fixed Offshore Structures with Inundation Effect Included,” ASME J. Offshore Mech. Arct. Eng.


Grahic Jump Location
Wave loading on a vertical leg
Grahic Jump Location
Correlation coefficient varies with γ and s



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