Bifurcations of a nonlinear small-body ocean-mooring system excited by finite-amplitude waves

Journal of Offshore Mechanics and Arctic Engineering

Volumn 119, Issue 4, 1997, Pages 234-238

  Gottlieb, O ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); DYNAMIC RESPONSE; HYDRODYNAMICS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; OCEAN STRUCTURES; WATER WAVE EFFECTS;

MOORING SYSTEMS;

MOORING;

BIFURCATION; HYDRODYNAMICS; MOORING SYSTEM; WAVE;

BIFURCATION; HYDRODYNAMICS; MOORING SYSTEMS; WAVE ACTION;

EID: 0031277554     PISSN: 08927219     EISSN: 1528896X     Source Type: Journal    
DOI: 10.1115/1.2829101     Document Type: Article

References (22)

1. Bajaj, A. K., and Tousi, S., 1990, “Torus Doubling and Chaotic Amplitude Modulations in a Two-Degree-of-Freedom Resonantly Forced Mechanical System,” International Journal of Nonlinear Mechanics, Vol. 25, pp. 625-641.
2. Bayly, P. V., and Virgin, L. N., 1993, “An Empirical Study of the Stability of Periodic Motion in the Forced Spring-Pendulum,” Proceedings Royal Society London, Vol. A443, pp. 391-408.
3. Bishop, S. R., and Virgin, L. N., 1988, “The Onset of Chaotic Motions of Moored Semi-Submersible,” ASME Journal of Offshore Mechanics and Arctic Engineering, Vol. 110, pp. 205-209.
4. Chakrabarti, S. K., 1990, Nonlinear Methods in Offshore Engineering, Elsevier, Amsterdam, Holland.
5. Foulhoux, L., and Bernitsas, M., 1993, “Forces and Moments on a Small Body Moving in a 3-D Unsteady Flow,” ASME Journal of Offshore Mechanics and Arctic Engineering, Vol. 115, pp. 91-104.
6. Gottlieb, O., 1992, “Bifurcations and Routes to Chaos in Wave-Structure Interaction Systems,” AIAA Journal of Guidance, Control and Dynamics, Vol. 15, pp. 832-839.
7. Gottlieb, O., and Yim, S. C. S., 1993, “Drag Induced Instabilities in Ocean Mooring Systems,” Ocean Engineering, Vol. 20, pp. 569-599.
8. Isaacson, M., 1979, “Nonlinear Inertia Forces on Bodies,” ASCE Journal of Waterway, Port, Coastal and Ocean Division, Vol. 103, No. 2, pp. 213-227.
9. Isaacson, M., and Phadke, A., 1994, “Chaotic Motion of a Nonlinearly Moored Structure,” Proceedings, 4th International Offshore & Polar Engineering Conference, Osaka, Japan, Vol. 3, pp. 338-345.
10. Manners, W., 1992, “Hydrodynamic force on a Moving Circular Cylinder Submerged in a General Fluid Flow,” Proceedings Royal Society London, Vol. A438, pp. 331-339.
11. Miloh, T., 1994, “Pressure Forces in Deformable Bodies in Non-Uniform Inviscid Flows,” Quarterly Journal of Mechanics and Applied Mathematics, Vol. 47, pp. 635-661.
12. Moon, F. C., 1992, Chaotic and Fractal Dynamics, Wiley, New York, NY.
13. Nayfeh, A. H., and Balachandran, B., 1995, Applied Nonlinear Dynamics, Wiley, New York, NY.
14. Newman, J. N., 1977, Marine Hydrodynamics, MIT Press, Cambridge, MA.
15. Nunez-Yepez, H. N., Salas-Brito, A. L., Vargas, C. A., and Vicente, L., 1990, “Onset of Chaos in an Extensible Pendulum,” Physics Letter, Vol. A145, pp. 101-105.
16. Papoulias, F. A., and Bernitsas, M. M., 1988, “Autonomous Oscillations, Bifurcations and Chaotic Response of Moored Vessels,” Journal of Ship Research, Vol. 32, pp. 220-228.
17. Rainey, R. C. T., 1989, “A New Equation for Calculating Wave Loads on Offshore Structures,” Journal of Fluid Mechanics, Vol. 204, pp. 295-324.
18. Sarpkaya, T., and Isaacson, M., 1981, Mechanics of Wave Forces on Offshore Structures, Van Nostrand-Reinhold, New York, NY.
19. Sharma, S. D., Jiang, T., and Schellin, T. E., 1988, “Dynamic Instability and Chaotic Motions of a Single-Point Moored Tanker,” Proceedings, 17th ONR Symposium on Naval Hydrodynamics, pp. 543-563.
20. Thompson, J. M. T., 1983, “Complex Dynamics of Compliant Offshore Structures,” Proceedings Royal Society London, Vol. A387, pp. 407-427.
21. Yagasaki, K., Sakata, M., and Kimura, K., 1990, “Dynamics of a Weakly Nonlinear System Subjected to Combined Parametric and External Excitation,” ASME Journal of Applied Mechanics, Vol. 57, pp. 209-217.
22. Wiggins, S., 1990, Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer.