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TECHNICAL PAPERS

Hydrodynamic Model Induced Differences in SPM Post Pitchfork Bifurcation Paths

[+] Author and Article Information
Alexandre N. Simos

Department of Naval Architecture and Ocean Engineering, University of São Paulo, São Paulo, SP, Brazil

Celso P. Pesce

Department of Mechanical Engineering, University of São Paulo, São Paulo, SP, Brazil

Michael M. Bernitsas, Stuart B. Cohen

Department of Naval Architecture and Marine Engineering, University of Michigan, Ann Arbor, MI 48109

J. Offshore Mech. Arct. Eng 124(4), 174-178 (Oct 22, 2002) (5 pages) doi:10.1115/1.1510872 History: Received October 01, 2001; Revised June 01, 2002; Online October 22, 2002
Copyright © 2002 by ASME
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References

Bernitsas, M. M., Garza-Rios, L. O., and Kim, B. K., 1999, “Mooring Design Based on Catastrophes of Slow Dynamics,” Proceedings of 8th Offshore Station Keeping Symposium, SNAME, Houston, Texas, February 25–26, pp. 76–123.
Abkowitz, M., 1964, “Lectures on Ship Hydrodynamics, Steering and Manoeuvrability,” Hydro-Og Aerodynamisk Laboratorium, Report Hy-5, Lyngby, Denmark, p. 113.
Papoulias,  F. A., and Bernitsas,  M. M., 1988, “Autonomous Oscillations, Bifurcations and Chaotic Response of Moored Vessels,” J. Ship Res., 32(3), September, pp. 220–228.
Leite,  A. J. P., Aranha,  J. A. P., Umeda,  C., and de Conti,  M. B., 1998, “Current Forces in Tankers and Bifurcation of Equilibrium of Turret Systems: Hydrodynamic Model and Experiments,” Appl. Ocean. Res., 20, pp. 145–156.
Hooft,  J. P., 1994, “The Cross-Flow Drag on a Manoeuvring Ship,” J. Contemp. Phys., 21(3), pp. 329–324.
Takashina,  J., 1986, “Ship Manouvering Motion due to Tugboats and its Mathematical Model,” Journal of the Society of Naval Architects of Japan, 160, pp. 93–104.
Newman, J. N., 1966, “Some Hydrodynamic Aspects of Ship Maneuverability,” Proceedings of the 6th Symposium on Naval Hydrodynamics, Washington, D.C., pp. 203–237.
Faltinsen, O. M., Kjaerland, O., Liapis, N., and Walderhaug, H., 1979, “Hydrodynamic Analysis of Tankers at Single-Point-Mooring Systems,” Proceedings of the 2nd International Conference on Behavior of Off-Shore Structures, BOSS 79, pp. 177–205.
Oltmann, P., and Sharma, S. D., 1984, “Simulation of Combined Engine and Rudder Maneuvers using an Improved Model of Hull-Propeller-Rudder Interactions,” Proceedings of the 15th Symposium on Naval Hydrodynamics, Hamburg, pp. 83–108.
Simos,  A. N., Tannuri,  E. A., Pesce,  C. P., and Aranha,  J. A. P., 2001, “A Quasi-Explicit Model for the Dynamic Analysis of a Moored FPSO Under Current Action,” J. Ship Res., 45(4), December, pp. 289–301.
Garza-Rios,  L. O., and Bernitsas,  M. M., 1999, “Slow Motion Dynamics of Turret Mooring and its Approximation as Single Point Mooring,” Appl. Ocean. Res., 1(21), February, pp. 27–39.
Simos, A. N., Tannuri, E. A., and Pesce, C. P., 1998, “Dynamics of a Turret-FPSO System and Hydrodynamic Models,” Proceedings of the 17th International Conference on Offshore Mechanics and Artic Engineering, OMAE, Lisbon, paper# 0410.
Bernitsas, M. M., and Papoulias, F. A., 1990, “Nonlinear Stability and Maneuvering Simulation of Single Point Mooring Systems,” Proceedings of Offshore Station Keeping Symposium, SNAME, Houston, Texas, February 1–2, pp. 1–19.

Figures

Grahic Jump Location
Schematic representation of alternate static equilibrium
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Generic forms of static pitchfork bifurcation path according to HD and CF models
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Schematic representation of the experimental setup
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Experimental post pitchfork bifurcation equilibrium path
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Qualitative behavior of real and predicted bifurcation paths
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Experimental values and CF model prediction of VLCC bifurcation paths (a represents dCG)-extracted from Leite et al. 4.
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Secondary equilibrium path for S175 according to CF model

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