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.


    Access

    Access via TIB

    Check availability in my library

    Order at Subito €


    Export, share and cite



    Title :

    Application of the extended Melnikov's method for single-degree-of-freedom vessel roll motion


    Additional title:

    Anwendung der erweiterten Melnikov-Methode für die Rollbewegung eines Schiffes mit einem Freiheitsgrad


    Contributors:
    Wu, Wan (author) / McCue, Leigh (author)

    Published in:

    Ocean Engineering ; 35 , 17-18 ; 1739-1746


    Publication date :

    2008


    Size :

    8 Seiten, 18 Quellen




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English




    Chaotic Attitude Motion of Symmetric Gyrostat via Melnikov's Integral

    Kuang, J. / Tan, S. / Arichandran, K. | British Library Conference Proceedings | 2001





    Study on the MMG three-degree-of-freedom motion model of a sailing vessel

    You, Xu / Ma, Feng / Huang, Ming et al. | IEEE | 2017