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TECHNICAL PAPERS

MOB Platform Nonlinear Dynamics in a Realistic (Random) Seaway

[+] Author and Article Information
S. Vishnubhotla, J. Falzarano

School of Naval Architecture, University of New Orleans, New Orleans, LA 70148

A. Vakakis

Mechanical Engineering Department, University of Illinois (U-C), Urbana, IL

J. Offshore Mech. Arct. Eng 124(1), 48-52 (May 29, 2001) (5 pages) doi:10.1115/1.1425396 History: Received July 05, 2000; Revised May 29, 2001
Copyright © 2002 by ASME
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References

Falzarano, J., Kaylan, U., Rodrigue, W., and Vassilev, R., 1999, “MOB Transit Draft Stability and Dynamics Analytic Study,” 3rd Very Large Floating Structures Conf. VLFS.
Vishnubhotla, S., Falzarano, J., and Vakakis, A., 1999, “MOB Platform Large Amplitude Dynamics in a Random Seaway,” Int. Society of Offshore and Polar Engineer Conf.
Kota,  R., Falzarano,  J., and Vakakis,  A., 1998, “Survival Analysis of Deep-Water Floating Offshore Platform about its critical Axis: Including Coupling,” Int. J. Soc. Offshore Polar Eng., 8, No. 2, pp. 115–121.
Zhang, F., and Falzarano, J., (1994), “MDOF Global Transient Ship Rolling Motion: Large Amplitude Forcing,” Stochastic Dynamics and Reliability of Nonlinear Ocean Systems, ASME WAM, Sept.
Vishnubhotla, S., Falzarano, J., and Vakakis, A., 2000, “A New Method to Predict Vessel/Platform Capsizing in a Random Seaway,” Philosophical Transactions of the Royal Society, Special Issue on Nonlinear Dynamics of Ships, May, 358 , No. 1771, pp. 1967–1981.
Vakakis, A., 1993, “Splitting of Separatrices of the Rapidly Forced Duffing Equation,” Nonlinear Vibrations, ASME Vibrations Conf., Sept.
Falzarano,  J., Shaw,  S., and Troesch,  A., 1992, “Application of Global Methods for Analyzing Dynamical Systems to Ship Rolling Motion and Capsizing,” Int. J. Bifurcation Chaos Appl. Sci. Eng., 2, No. 1, pp. 101–115.
Vishnubhotla, S., Falzarano, J., and Vakakis, A., 1998, “A New Method to Predict Vessel/Platform Capsizing in a Random Seaway,” Third Int. Conf. on Computational Stochastic Mechanics, June.

Figures

Grahic Jump Location
MOB roll moment excitation transfer function (RAO)
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(a) MOB roll moment excitation spectra for NATO sea—state 6, {Hs,T0}={16.4 ft, 12.4 s}; (b) MOB corresponding roll moment excitation time history (nondim) for NATO sea state 6
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MOB roll moment excitation spectra for NATO sea state—9, {Hs,T0}={45.9 ft, 20.0 s}
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MOB Projected Phase Plane for NATO sea state 8—(a) {Hs,T0}={37.7 ft, 16.4 s} without δGM(t); (b) {Hs,T0}={37.7 ft, 16.4 s} with δGM(t)
Grahic Jump Location
MOB Projected Phase Plane for NATO sea state 6—(a) {Hs,T0}={16.4 ft, 12.4 s} without δGM(t); (b) {Hs,T0}={16.4 ft,12.4 s} with δGM(t)
Grahic Jump Location
MOB projected phase plane for NATO sea state 9—(a) {Hs,T0}={45.9 ft, 20.0 s} without δGM(t); (b) {Hs,T0}={45.9 ft,20.0 s} with δGM(t)
Grahic Jump Location
MOB projected phase plane for NATO sea state 9 with λ=10, η=1.0
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MOB projected phase plane for NATO sea state 9 with λ=1.0, η=0.1
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MOB projected phase plane for NATO sea state 9 with λ=10, η=0.1
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MOB projected phase plane for NATO sea state 9 with λ=10, η=0.01
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Extended phase space showing solutions contained in upper stable, W+s(t) and lower unstable manifold W−us(t), sea state 9 (roll and roll velocity versus time are plotted)
Grahic Jump Location
Extended phase space showing solutions contained in upper unstable, W+us(t) and lower stable manifold W−s(t), sea state 9 (roll and roll velocity versus time are plotted)

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