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Transit Draft Heave and Pitch Motion Analysis of the Mobile Offshore Base (MOB) Using Reverse MI/SO Techniques

[+] Author and Article Information
Jeffrey Falzarano, Jun Cheng, William Rodrigues

University of New Orleans New Orleans, LA 70148

J. Offshore Mech. Arct. Eng 126(1), 16-25 (Mar 02, 2004) (10 pages) doi:10.1115/1.1641386 History: Received July 01, 2002; Revised May 01, 2003; Online March 02, 2004
Copyright © 2004 by ASME
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References

Timman,  R., and Newman,  J.N., 1962, “The Coupled Damping Coefficents of a Symmetric Ship,” SNAME Journal of Ship Research, 5(4), 1–9.
Falzarano, J.M., Uppu, K., Rodrigues, W.E. and Vassilev, R.H., 1999, “MOB SBU Transit Draft Dynamics and Stability Analytic Study,” Third International Workshop on Very Large Floating Structures (VLFS ’99), Honolulu, Sept, 1999, edited by R. Ertekin and J. Kim.
Falzarano, J.M., Rodrigues, W.E., Vassilev, R.H., Das, S. and Cheng, J., 2000, “MOB Transit Draft Dynamics and Stability,” OMAE 2000 Conference, New Orleans, Feb 14–17.
Falzarano, J.M., Cheng, J, Das, S., Rodrigues, W.E. and Vassilev, R.H., 2000, “MOB Transit Draft Transient Dynamics and Stability,” Proceedings of the Tenth (2000) International Offshore and Polar Engineering Conference, Seattle, May 28–June 2.
Rodrigues, W. and Falzarano, J., 2001, “Transit Draft Heave Motion Analysis of The Mobile Offshore Base (MOB) Using Reverse MI/SO Techniques,” Proceedings of the Eleventh International Offshore and Polar Engineering Conference, Stavanger, Norway, June.
Palo, P.A., Bendat, J.S. and Coppolino, R.N., 1998, “Identification of Low-Order Equations of Motion for Nonlinear Stability Studies,” Stochastically Excited Nonlinear Ocean Structures, Shlesinger, M.F. and Swean, T. (ed.), Singapore: World Scientific.
Bendat,  J.S., Coppolino,  R.N., and Palo,  P.A., 1995, “Identification of Physical Parameters with Memory in Non-linear Systems,” Int. J. Nonlinear Mech., 30, 6:841–860.
Dillingham, J.T., and Falzarano, J.M., 1986, “A Numerical Method for Simulating Three-dimensional Sloshing,” Proceedings of the Eleventh Ship Technology Research Symposium (STAR), Portland, SNAME.
Palo,  P.A., Bendat,  J.S., and Coppolino,  R.N., 1992, “New Nonlinear System Identification Techniques for Nonlinear Diffrential Equations of Motion,” Probab. Eng. Mech., 7(1), 43.
Narayanan, S., Yim, S.C.S., and Palo, P.A., 1998, “Nonlinear System Identification of a Moored Structural System,” International Offshore and Polar Engineering Conference, Montreal, May 1998.
Bendat, J.S., 1998, Nonlinear Systems Techniques and Applications, New York: Wiley-Interscience.
Rodrigues, W.E., 2000, “Transit Draft Roll Motion Stability Analysis of the Mobile Offshore Base using reverse MI/SO techniques,” M.S. Thesis, Univ. of New Orleans.
Chakrabarti, S.K., 1990, Hydrodynamics of Offshore Structure, Southampton, WIT Press.
Cummins, W.E., 1962, “Impulse Response Function and Ship Motions,” David Taylor Model Basin, Seaworthiness and Fluid Dynamics Division Report 1661, Washington.
Newman, J.N., 1977, Marine Hydrodynamics, Cambridge, MIT Press.
Kriebel, D., and Wallendorf, L., 1999, “Physical Model Tests on a Generic MOB Module,” Proceedings of the Third International Workshop on Very Large Floating Structures (VLFS ’99), Honolulu, Sept. 22–24, 1999, edited by R. Ertekin and J. Kim.
WAMIT, 2002, User’s Manual, www.wamit.com.
Das, S., and Falzarano, J., 2001, “Transit Draft Roll Motion Stability Analysis Of The Mobile Offshore Base (MOB) Using Time Varying Coefficients,” Proceedings of the Eleventh International Offshore and Polar Engineering Conference, Stavanger, Norway, June.
Abkowitz, M.A, 1969, Stability and Motion Control of Ocean Vehicles, Cambridge, Massachusetts: MIT Press.
Bendat, J.S. and A.G. Piersol, 1993, Engineering Applications of Correlation & Spectral Analysis, (2nd ed.), New York: Wiley-Interscience.
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Falzarano, J.M., 1990, “Predicting Complicated Dynamics Leading to Vessel Capsizing,” Ph.D. Dissertation, University of Michigan.

Figures

Grahic Jump Location
Definition of Vessel Coordinate System
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a) Three-input/One-output Model with Correlated Inputs b) Three-input/One-output Model with Uncorrelated Inputs
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a) Average incident wave spectrum; b) Heave response spectrum; c) pitch response spectrum; d) Nonlinear quadratic relative velocity response spectrum
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Magnitude of heave transfer function
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Phase of Heave transfer function
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Heave Added Mass Coefficient A33 (SI/SO)
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Heave Damping Coefficient B33 (SI/SO)
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Heave Coherence Function (SI/SO)
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Real part of H1y in heave equation
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Imaginary part of H1y in heave equation
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Real part of H2y in heave equation
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Imaginary part of H2y in heave equation
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Real part of H3y in heave equation
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Imaginary part of H3y in heave equation
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Cumulative coherence function of heave motions
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Heave added mass coefficient A33 (MI/SO)
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Heave Damping coefficient B33 (MI/SO)
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Pitch transfer function magnitude (SI/SO)
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Pitch transfer function phase (SI/SO)
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Pitch coherence function (SI/SO)
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Pitch added moment of inertia coefficient A55 (SI/SO)
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Pitch damping coefficient B55 (SI/SO)
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Real part of H1y in Pitch equation
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Imaginary part of H1y in Pitch equation
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Real part of H2y in Pitch equation
Grahic Jump Location
Imaginary part of H2y in Pitch equation
Grahic Jump Location
Real part of H3y in Pitch equation
Grahic Jump Location
Imaginary part of H3y in Pitch equation
Grahic Jump Location
Cumulative coherence function of pitch motion
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Pitch added moment of inertia coefficient A55 (MI/SO)
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Pitch damping coefficient B55 (MI/SO)
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Heave-pitch added mass cross-coupling coefficients A35, and A53
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Heave-pitch damping cross-coupling coefficients B35, and B53

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