The preliminary design of a differentiated compliance anchoring system (DICAS) is assessed based on stability of its slow-motion nonlinear dynamics using bifurcation theory. The system is to be installed in the Campos Basin, Brazil, for a fixed water depth under predominant current directions. Catastrophe sets are constructed in a two-dimensional parametric design space, separating regions of qualitatively different dynamics. Stability analyses define the morphogeneses occurring across bifurcation boundaries to find stable and limit cycle dynamical behavior. These tools allow the designer to select appropriate values for the mooring parameters without resorting to trial and error, or extensive nonlinear time simulations. The vessel equilibrium and orientation, which are functions of the environmental excitation and their motion stability, define the location of the top of the production riser. This enables the designer to verify that the allowable limits of riser offset are satisfied. The mathematical model consists of the nonlinear, horizontal plane fifth-order large-drift, low-speed maneuvering equations. Mooring lines are modeled by open-water catenary chains with touchdown effects and include nonlinear drag. External excitation consists of time-independent current, wind, and mean wave drift.

1.
API, “Draft Recommended Practice for Design, Analysis and Maintenance of Mooring for Floating Production Systems,” API Recommended Practice 2FP1 (RP2FP1), First Edition, 1991.
2.
Bernitsas, M. M., and Garza-Rios, L. O., “Effect of Mooring Line Arrangement on the Dynamics of Spread Mooring Systems,” Proceedings of the ASME 14th International Conference on Offshore Mechanics and Arctic Engineering (OMAE’95), Vol. I-B, Copenhagen, Denmark, June 1995, pp. 237–252.
3.
Bernitsas, M. M., and Garza-Rios, L. O., “Mooring Systems Design Based on Analytical Expressions of Catastrophes of Slow Motion Dynamics,” Proceedings of the ASME 15th International Conference on Offshore Mechanics and Arctic Engineering (OMAE’96), Vol. I-B, Florence, Italy, June 1996, pp. 227–241.
4.
CENPES, “Environmental Measurements of the Campos Basin,” Report to Petrobra´s Research Center, Brazil, 1993 (in Portuguese).
5.
CENPES/DIPREX/SEPRON, “Meteocean Data, Soil Data and Bathymmetry,” Report to Petrobra´s Research Center, Brazil, 1996 (in Portuguese).
6.
Garza-Rios Eychenne, L. O., “Development of a Design Methodology for Mooring Systems Based on Catastrophe Theory,” Ph.D., dissertation, Department of Naval Architecture and Marine Engineering, University of Michigan, Ann Arbor, MI, May 1996.
7.
Garza-Rios, L. O., Bernitsas, M. M., and Nishimoto, K., “Catenary Mooring Lines with Nonlinear Drag and Touchdown,” Report to the University of Michigan/Sea Grant/Industry Consortium in Offshore Engineering, and Department of Naval Architecture and Marine Engineering, The University of Michigan, Report No. 333, Ann Arbor, MI, January 1997.
8.
Guckenheimer, J., and Holmes, P., Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields, Springer-Verlag, New York, NY, 1983.
9.
MARINTEK, “Measurements of Mooring Line Drag Coefficients in Steady Flow,” Subproject 1.5, Mooring Line Damping, Report No. 511199.50.11, Trondheim, November 1990.
10.
MARINTEK, “DICAS Development,” Summary Report, Trondheim, June 1996.
11.
Nippon Kaiji Kyokai, Guide to Mooring Systems, N.K.K., 1983.
12.
Nishimoto, K., Brinati, H. L., and Fucatu, C. H., “Analysis of Single Point Moored Tanker Using Manoeuvering Hydrodynamic Model,” Proceedings of the ASME 14th International Conference on Offshore Mechanics and Arctic Engineering (OMAE’95), Vol. I-B, Copenhagen, Denmark, June 1995, pp. 253–261.
13.
Nishimoto, K., Brinati, H. L., and Fucatu, C. H., “Dynamic Analysis of FPSO with a Tandem Offloading System,” Proceedings of the ASME 15th International Conference on Offshore Mechanics and Arctic Engineering (OMAE’96), Vol. I-B, Florence, Italy, June 1996.
14.
Nishimoto, K., Kaster, F., and Aranha, J. A. P., “Decay Tests in Full Scale for the Alagoas Tanker, Results and Analysis,” Final Report, University of Sa˜o Paulo/Petrobra´s, Brazil, January 1996 (in Portuguese).
15.
Nishimoto, K., and Masetti, I., “ALAGOAS—Monitoring Report and Numerical Simulation,” Final Report, University of Sa˜o Paulo/Petrobra´s, Brazil, February 1996.
16.
Takashina
J.
, “
Ship Maneuvering Motion due to Tugboats and Its Mathematical Model
,”
Journal of the Society of Naval Architects of Japan
, Vol.
160
, December
1986
, pp.
93
104
.
17.
Takashina, J., and Hirano, M., “Ship Maneuvering Motion by Tugs in Deep and Shallow Water,” Proceedings of MARSIM & ICSM, Vol. 90, Tokyo, Japan, 1990, pp. 379–385.
18.
Tanaka
S.
, “
On the Hydrodynamic Forces Acting on a Ship at Large Drift Angles
,”
Journal of the West Society of Naval Architects of Japan
, Vol.
91
,
1995
, pp.
81
94
.
19.
Wiggins, S., Introduction to Applied Nonlinear Dynamical Systems and Chaos, Springer-Verlag, New York, NY, 1990.
20.
Yumuro
A.
, “
Some Experiments on Maneuvering Hydrodynamic Forces in Low Speed Conditions
,”
Journal of Kansai Zousen Kyoukai Shi
, Vol.
209
,
1988
, pp.
91
101
.
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