Non-linear frequency-domain analysis of jack-up platforms

International Journal of Non-Linear Mechanics

Volumn 39, Issue 9, 2004, Pages 1519-1534

  Zheng, X Y ^a   Liaw, C Y ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Correlation function; Cumulant; Cumulant spectrum; FFT; Non Gaussian; Power spectrum; Price's theorem; Spatial correlation

Indexed keywords

COMPUTER SIMULATION; CORRELATION METHODS; DRAG; FAST FOURIER TRANSFORMS; SPECTRUM ANALYSIS; WHITE NOISE;

CUMULANT; CUMULANT SPECTRUM; NON-GAUSSIAN; POWER SPECTRUM; SPATIAL CORRELATION;

DRILLING PLATFORMS;

EID: 2442568747     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2004.02.013     Document Type: Conference Paper

References (24)

1. Liaw C.Y., Zheng X.Y. Polynomial approximations of wave loading and superharmonic responses of fixed structures. ASME J. Offshore Mech. Arctic Eng. 125(3):2003;161.
2. Liaw C.Y., Zheng X.Y. Inundation effect of wave forces on jack-up platforms. Int. J. Offshore Polar Eng. 11(2):2001;87.
3. Schetzen M. The Volterra and Wiener Theories of Nonlinear Systems. 1980;Wiley, New York.
4. Li X.M., Quek S.T., Koh C.G. Stochastic response of offshore platform by statistical cubicization. ASCE J. Eng. Mech. 121(10):1995;1056.
5. Kareem A., Zhao J., Tognarelli M.A., Gurley K.R. Dynamics of non-linear stochastic systems: a frequency domain approach. Ayyub B.M., et al. Uncertainty Modeling in Vibration and Fuzzy Analysis of Structural Systems. 1997;World Scientific Publishing Co. Singapore.
6. Tognarelli M.A., Zhao J.R., Kareem A. Equivalent statistical quadratization and cubicization for non-linear systems. ASCE J. Eng. Mech. 123(5):1997;512.
7. Borgman L.E. Ocean wave simulation for engineering design. ASCE J. Waterways Harbours Divisions. 95(4):1969;557.
8. Gudmestad O.T., Connor J.J. Linearization methods and the influence of current on the non-linear hydrodynamic drag force. J. Appl. Ocean Res. 5(4):1983;184.
9. Liaw C.Y., Zheng X.Y. Least squares, moment-based and hybrid polynomializations of drag forces. ASCE J. of Eng. Mech. 130(3):2004;294.
10. R.L. Bruce, Quasi-static response of jacket platforms subjected to non-linear wave loading, International Conference on the Behaviour of Offshore Structures, Elsevier Science Publishers B. V., Amsterdam, 1985, p. 899.
11. Winterstein S.R. Nonlinear vibration models for extremes and fatigue. ASCE J. Eng. Mech. 114(10):1988;1772.
12. Jensen J.J. Dynamic amplification of offshore steel platform responses due to non-Gaussian wave loads. Marine Struct. 7:1994;91.
13. Bendat J.S. Nonlinear System Analysis and Identification from Random Data. 1998;Wiley, New York.
14. Naess A., Yim C.S.S. Stochastic response of offshore structures excited by drag forces. ASCE J. Eng. Mech. 122(5):1996;442.
15. Bendat J.S., Piersol A.G. Engineering Applications of Correlation and Spectral Analysis. 1993;Wiley, New York.
16. X.Y. Zheng, C.Y. Liaw, Response spectrum estimation for fixed offshore structures with inundation effect included: a Price's theorem approach, ASME J. Offshore Mech. and Arctic Eng. (2004), in press.
17. Price R. A useful theorem for non-linear devices having Gaussian inputs. IRE Trans. Inform. Theory. I-4:1958;69.
18. Borgman L.E. Spectral analysis of ocean wave forces on piles. ASCE J. Waterways Harbours Divisions. 93(2):1967;129.
19. SNAME, Recommended Practice for Site Specific Assessment of Mobile Jack-Up Units, 1st Edition, Society of Naval Architects and Marine Engineers, 1994.
20. X.Y. Zheng, Nonlinear frequency-domain analysis of fixed structures subjected to Morison-type wave forces, Ph.D. Thesis, National University of Singapore, 2003.
21. Nikias C.L., Petropulu A.P. Higher-order Spectra Analysis. 1993;PTR Prentice-Hall, Englewood Cliffs, NJ.
22. Bouyssy V., Rackwitz R. Polynomial approximation of morison wave loading. ASME J. Offshore Mech. Arctic Eng. 119:1997;30.
23. Brillinger D.R., Rosenblatt M. Asymptotic theory of. k th-order spectra Harris B. Spectral Analysis of Time Series. 1967;Wiley, New York.
24. Brillinger D.R., Rosenblatt M. Computation and interpretation of. k th-order spectra Harris B. Spectral Analysis of Time Series. 1967;Wiley, New York.