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TECHNICAL PAPERS

Stability Analysis of a Moored Vessel

[+] Author and Article Information
A. Umar

Department of Civil Engineering, Aligarh Muslim University, Aligarh-202002, India

S. Ahmad, T. K. Datta

Department of Civil Engineering, Indian Institute of Technology, Delhi-110016 India

J. Offshore Mech. Arct. Eng 126(2), 164-174 (May 18, 2004) (11 pages) doi:10.1115/1.1710873 History: Received April 13, 2001; Revised October 17, 2003; Online May 18, 2004
Copyright © 2004 by ASME
Topics: Stability , Mooring , Vessels , Force
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References

Pinkster, J. A., 1987, “On the Determination of the Statistical Properties of the Behavior of Moored Tankers,” Proc. Workshop on Floating Structures and Offshore Operations, Wageningen, The Netherlands, pp. 219–232.
Nakajima, T., Motora, S., and Fujino, M., 1982, “On the Dynamic Analysis of Multi-Component Mooring Lines,” Proc. 14th Annual Offshore Technology Conference, pp. 105–120.
Triantafyllou,  M. S., 1982, “Preliminary Design of Mooring Surfaces,” J. Ship Res., 26, 25–35.
Oppenheim,  B. W., and Wilson,  P. A., 1982, “Polynomial Approximations to Mooring Forces in Equations of Low-Frequency Vessel Motions,” J. Ship Res., 26, pp. 16–24.
Oppenhiem,  B. W., and Wilson,  P. A., 1982, “Low Frequency Dynamics of Moored Vessels,” Marine Technology, 19, pp. 1–22.
Bliek, A., and Triantafyllou, M. S., 1985, “Nonlinear Cable Dynamics,” Proc. Behavior of Offshore Structures, pp. 963–972.
Van Den Boom, H. J. J., 1985, “Dynamic Behavior of Mooring Lines,” Proc. Behavior of Offshore Structures, pp. 359–368.
Langley,  R. S., 1986, “On the Time Domain Simulation of Second Order Wave Forces and Induced Responses,” Appl. Ocean. Res., 8, pp. 134–143.
Liu,  Y., and Bergdahl,  L., 1997, “Frequency-Domain Dynamic Analysis of Cables,” Engineering Structures, 19, pp. 499–506.
Thompson,  J. M. T., 1983, “Complex Dynamics of Compliant Offshore Structures,” Philos. Trans. R. Soc. London, Ser. A, 387, pp. 407–427.
Thompson,  J. M. T., Bokain,  A. R., and Ghaffari,  R., 1984, “Subharmonic and Chaotic Motions of Compliant Offshore Structures and Articulated Mooring Towers,” Journal of Energy Resources Technology, 106, pp. 191–198.
Bishop,  S. R., and Virgin,  L. N., 1988, “The Onset of Chaotic Motions of a Moored Semi-Submersible,” ASME J. Offshore Mech. Arct. Eng., 110, pp. 205–209.
Sharma, S. D., Jiang, T., and Schellin, T. E., 1988, “Dynamic Instability and Chaotic Motions of a Single Point Moored Tanker,” Proc. 17th ONR Symposium on Naval Hydrodynamics, The Hague, National Academic Press, Washington D.C. pp. 543–563.
Gottlieb, O., and Yim, S. C. S., 1990, “The Onset of Chaos in a Multipoint Mooring System,” Proc. 1st European Offshore Mech. Symposium, 1 , Int. Soc. Offshore and Polar Engineering (ISOPE), pp. 6–12.
Gottlieb,  O., and Yim,  S. C. S., 1992, “Nonlinear Oscillations, Bifurcations and Chaos in a Multi-Point Mooring System with a Geometric Nonlinearity,” Appl. Ocean. Res., 14, 241–257.
Nayfeh, A. H., and Mook, D. T., 1995, Nonlinear Oscillations, Wiley, New York.
Guckenheimer, J., and Holmes, P., 1986, Nonlinear Oscillations, Dynamical Systems and Bifurcation of Vector Fields, Springer-Verlag, New York.
Burton,  T. D., and Rahman,  Z., 1986, “On the Multi-scale Analysis of Strongly Nonlinear Forced Oscillators,” Int. Journal of Nonlinear Mechanics, 21, pp. 135–146.
Szemplinska-Stupnicka,  W., 1987, “Secondary Resonances and Approximate Models of Routes to Chaotic Motions in Nonlinear Oscillators,” J. Sound Vib., 113, pp. 155–172.
Ahmad,  S., 1996, “Stochastic TLP Response Under Long Crested Random Sea,” Computers & Structures, 61, pp. 975–993.
Nayfeh, A. H., and Balachandran, B., 1995, Applied Nonlinear Dynamics—Analytical, Computational, and Experimental Methods, Wiley, New York.
Ioos, G., and Josheph, D. D., 1981, Elementary Stability and Bifurcation Theory, Springer-Verlag, New York.

Figures

Grahic Jump Location
Force Excursion Relationship of a Single Mooring Line
Grahic Jump Location
Variation of Restoring Force with Excursion
Grahic Jump Location
Variation of the Maximum Response (A1) with Frequency of Excitation
Grahic Jump Location
(a) Time History of the Response (x) for Excitation Frequency (ω)=0.3 rad/s and (x,y)=(0,0); (b) Phase Plot of the Response (x) for Excitation Frequency (ω)=0.3 rad/s and (x,y)=(0,0)
Grahic Jump Location
(a) Time History of the Response (x) for Excitation Frequency (ω)=0.45 rad/s and (x,y)=(0,0); (b) Phase Plot of the Response (x) for Excitation Frequency (ω)=0.45 rad/s and (x,y)=(0,0)
Grahic Jump Location
(a) Time History of the Response (x) for Excitation Frequency (ω)=0.5 rad/s and (x,y)=(0,0); (b) Phase Plot of the Response (x) for Excitation Frequency (ω)=0.5 rad/s and (x,y)=(0,0)
Grahic Jump Location
Phase Plot of the Response (x) for Excitation Frequency (ω)=0.57 rad/s and (x,y)=(0,0)
Grahic Jump Location
Phase Plot of the Response (x) for Excitation Frequency (ω)=0.60 rad/s and (x,y)=(0,0)
Grahic Jump Location
Phase Plot of the Response (x) for Excitation Frequency (ω)=0.62 rad/s and (x,y)=(0,0)
Grahic Jump Location
Phase Plot of the Response (x) for Excitation Frequency (ω)=0.65 rad/s and (x,y)=(0,0)
Grahic Jump Location
(a) Time History of the Response (x) for Excitation Frequency (ω)=2π/7.5 rad/s; (b) Phase Plot for the Response (x) due to First Order Wave Force for Excitation Frequency (ω)=2π/7.5 rad/s
Grahic Jump Location
(a) Poincare Plot of the Response (x) for Excitation Frequency (ω)=2π/7.5 rad/s; (b) Response Spectrum for Excitation Frequency (ω)=2π/7.5 rad/s
Grahic Jump Location
Phase Plot of the Response (x) for Excitation Frequency (ω)=1.0 rad/s and (x,y)=(0,0)
Grahic Jump Location
Phase Plot of the Response (x) for Excitation Frequency (ω)=1.25 rad/s and (x,y)=(0,0)
Grahic Jump Location
Phase Plot of the Response (x) for Excitation Frequency (ω)=1.5 rad/s and (x,y)=(0,0)

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