Nonlinear Analysis of Slow Drift Oscillations of Moored Vessels in Random Seas

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Abstract
A theoretical model is proposed for a moored vessel, with nonlinear restoring forces, responding to random waves. The model takes into account the nonlinear nature of the relationship between wave elevations and wave forces. Fokker-Planck equations are derived for the distribution of the amplitude response of the vessel. By simplifying these equations, with the introduction of a white noise approximation for the force process, an expression is obtained for the stationary amplitude distribution. The accuracy of this approximate result is assessed by a comparison with corresponding digital simulation estimates.

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