Application of a hilbert transform-based algorithm for parameter estimation of a nonlinear ocean system roll model

Journal of Offshore Mechanics and Arctic Engineering

Volumn 119, Issue 4, 1997, Pages 239-243

  Gottlieb, O ^a   Feldman, M ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DYNAMIC RESPONSE; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR EQUATIONS; PARAMETER ESTIMATION;

HILBERT TRANSFORMS;

OCEAN STRUCTURES;

OFFSHORE PLATFORM; ROLL (SHIP MOTION); VESSEL;

ALGORITHM; ROLLING; SHIP MOTION;

EID: 6244221936     PISSN: 08927219     EISSN: 1528896X     Source Type: Journal    
DOI: 10.1115/1.2829102     Document Type: Article

References (33)

1. Bass, D. W., and Haddara, M. R., 1988, “Nonlinear Models of Ship Roll Damping,” International Shipbuilding Progress, Vol. 35, pp. 5-24.
2. Bendat, J. S., and Piersol, A. G., 1986, Random Data-Analysis and Measurement Procedures, John Wiley & Sons, New York, NY.
3. Bikdash, M., Balachandran, B., and Nayfeh, A. H., 1994, “Melnikov Analysis for a Ship with a General Roll-Damping Model,” Nonlinear Dynamics, Vol. 6, pp. 101-124.
4. Bitner-Gregerson, E. M., and Gran, S., 1983, “Local Properties of Sea Waves Derived from a Wave Record,” Applied Ocean Research, Vol. 5, pp. 210-214.
5. Cardo, A., Francescutto, A., and Nabergoj, R., 1982, “On Damping Models in Free and Forced Rolling Motion,” Ocean Engineering, Vol. 9, pp. 295-307.
6. Chakrabarti, S. K., 1990 Nonlinear Methods in Offshore Engineering, Elsevier, Amsterdam, Holland.
7. Coulon, F., 1986 Signal Theory and Processing, Arthech House.
8. Falzarano, J. M., Shaw, S. W., and Troesh, A. W., 1992, “Application of Global Methods for Analyzing Dynamical Systems to Ships Rolling Motion and Capsizing,” International Journal of Bifurcation and Chaos, Vol. 2, pp. 101-115.
9. Feldman M., 1994, “Nonlinear System Vibration Analysis Using the Hilbert Transform: Free Vibration,” Mechanical Systems and Signal Processing, Vol. 2, pp. 119-227.
10. Flower, J. O., and Sabati Aljaff, W. A. K., 1980, “Krylov-Bogoliubov’s Solution to Decaying Nonlinear Oscillations in Marine Systems,” International Shipbuilding Progress, Vol. 27, pp. 225-230.
11. Froude, W. 1955, The Papers of'William Froude, Inst, of Naval Architects, London, U.K.
12. Gottlieb, O., Feldman, M., and Yim, S. C. S., 1996, “Parameter Identification of Nonlinear Ocean Mooring Systems Using the Hilbert Transform,” ASME Journal of Offshore Mechanics and Artic Engineering, Vol. 118, Feb., pp. 29-36.
13. Haddara, M. R., and Bennett, P., 1989, “A Study of Angle Dependence of Roll Damping Moment,” Ocean Engineering, Vol. 16, pp. 411-427.
14. Haddara, M. R., and Cumming, D., 1992, “Experimental Investigation into the Physics of Roll Damping,” International Shipbuilding Progress, Vol. 39, pp. 323-343.
15. Hsieh, S. R., Troesh, A., and Shaw, S. W., 1994, “A Nonlinear Method for Predicting Vessel Capsizing in Random Beam Seas,” Proceedings, Royal Society A, Vol. 446, pp. 195-211.
16. Hudspeth, R. T., and Medina, J. R., 1988, “Wave Group Analysis by the Hilbert Transform,” ASCE Proceedings, 21st Coastal Engineering Conference, Spain, pp. 884-898.
17. Jiang, C., and Troesh, A. W., 1995, “Roll Motion Modeling: Parameter Determination and their Effects on Ship Nonlinear Stability,” preprint.
18. Mathisen, J. B. and Price, W. G., 1984, “Estimation of Ship Roll Damping Coefficients,” Trans. RINA, Vol. 127, pp. 295-307.
19. Meirovitch, L., 1970, Methods of Analytical Dynamics, McGraw-Hill, New York, NY.
20. Mitra, S. K., and Kaiser, J. F., 1993, Handbook for Digital Signal Processing, Wiley-Interscience, New York, NY.
21. Nayfeh, A. H., and Sanchez, N. E., 1988, “Stability and Complicated Rolling Response of Ships in Regular Beam Seas,” International Shipbuilding Progress, Vol. 37, pp. 331-352.
22. Newman, J. N., 1977, Marine Hydrodynamics, MIT Press, Cambridge, U.K.
23. Roberts, J. B., 1985, “Estimation of Nonlinear Ship Roll Damping from Free-Decay Data,” Journal of Ship Research, Vol. 29, pp. 127-138.
24. Sanders, J. A., and Verhulst, F., 1985, Averaging Methods in Nonlinear Dynamics, Springer, New York, NY.
25. Sarpkaya, T., and Isaacson, M. 1981, Mechanics of Wave Forces on Offshore Structures, Van Nostrand-Reinhold, New York, NY.
26. Shields, D. R., and Zueck, R. F., 1988, Offshore Tech. Conference, Houston, TX, Paper No. 5454.
27. Thompson, J. M. T., Rainey, R. C. T., and Soliman, M. S., 1990, “Ship Stability Criteria Based on Chaotic Transients from Incursive Fractals,” Proceedings Royal Society A, Vol. 332, pp. 149-167.
28. Tomlinson, G. R., 1987, “Developments in the Use of the Hilbert Transform for Detecting and Quantifying Nonlinearity Associated with Frequency,” Mechanical Systems and Signal Processing, Vol. 1, pp. 151-171.
29. Virgin, L. 1987, “The Nonlinear Rolling Response of a Vessel Including Chaotic Motions Leading to Capsize in Regular Seas,” Applied Ocean Research, Vol. 5, pp. 210-214.
30. Wang, H. T., and Teng, C. C., 1994, “Nonlinear Aspects of the Motion Behavior of Directional Wave Buoys,” ASME Proceedings, 13th International Conference ofOMAE, Houston, TX, Vol. I, pp. 11-18.
31. Wiggins, S., 1990, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer, New York, NY.
32. Witz, J. A., Ablett, C. B., and Harrison, J. H., 1989, “Roll Response of Semi-submersibles with Nonlinear Restoring Moment Characteristics,” Applied Ocean Research, Vol. 11, pp. 153-166.
33. Wright, J. H. G., and Marshfield, W. B. 1979, “Ship Roll Response and Capsize Behavior in Beam Seas,” Trans. RINA, Vol. 122, pp. 129-148.