Traditionally, when using Melnikov's method to analyze ship motions, the damping terms are treated as small. This is typically true for roll motion but not always true for other and/or multiple degrees of freedom. In order to apply Melnikov's method to other and/or multiple-degree-of-freedom motions, the small damping assumption must be addressed. In this paper, the extended Melnikov method is used to analyze ship motion without the constraint of small linear damping. Two roll motion models are analyzed here. One is a simple roll model with nonlinear damping and cubic restoring moment. The other is the model with biased restoring moment. Numerical simulations are investigated for both models. The effectiveness and accuracy of this method is demonstrated.
Application of the extended Melnikov's method for single-degree-of-freedom vessel roll motion
Anwendung der erweiterten Melnikov-Methode für die Rollbewegung eines Schiffes mit einem Freiheitsgrad
Ocean Engineering ; 35 , 17-18 ; 1739-1746
2008
8 Seiten, 18 Quellen
Aufsatz (Zeitschrift)
Englisch
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