Nonlinear dynamics of an archetypal model of ships motions in tandem

Large converted tankers operate as floating platforms for the production of oil in offshore fields whose depth approaches 2000 m. Their dynamics are influenced by wind, currents, and waves, and also by the physical characteristics of mooring lines. In addition to the single-vessel operation mode, a two-ship tandem arrangement is employed during the transfer of cargo (offloading) from the main production vessel to a shuttle vessel that takes the oil to other processing plants. It is essential to design the system in a way that ensures that the dynamical behavior of the vessels during offloading is safe. Mathematical models that represent the motions of moored ships in the sea can be complex, particularly when detailed modeling of hydroand aerodynamic effects is required. In this work a simplified (archetypal) model is developed and explored that includes wind and current effects, and the elastic interaction between vessels. The model is validated against time series and bifurcation diagram results of a complete, industrialstrength model, and also through comparison with experimental data, showing good agreement. The use of a simplified model produces here a more refined exploration of dynamical features of the system such as its bifurcational structure and basins of attraction. The engineering relevance of these results is also evaluated through the use of basins of attraction. 2005 Elsevier Inc. All rights reserved. 0096-3003/$ see front matter 2005 Elsevier Inc. All rights reserved. doi:10.1016/j.amc.2004.12.005 * Corresponding author. E-mail address: [email protected] (J.R. de Souza Jr.). 650 J.R. de Souza Jr., C.G. Fernandes / Appl. Math. Comput. 164 (2005) 649–665