On the Elimination of De-stabilizing Motions of Articulated Mooring Towers under Steady Sea Conditions

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Abstract
A class of models of an articulated mooring tower is considered. On the assumption that steady sea conditions have a Fourier series representation, the minimum level of viscous damping is found, such that the only possible, asymptotically stable motion of the tower is a unique fundamental motion, with the period of the prevailing sea state. The technique used applies to far more general models, including some with almost periodic or random forcing, and with general damping and restoring characteristics. The approach adopted here involves so-called convergence theorems, several of which are quoted, and shown to be applicable to the models of interest.

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