The nonlinear ship rolling motion with water-on-deck in regular beam waves is studied by utilizing a global geometric method. A ship stability criterion based upon the Melnikov function is obtained to provide an upper bound on the domain of the potential chaotic rolling motion. Phase plane diagrams and Poincare maps are used to validate the ship stability criterion obtained in this article.
"MELNIKOV ANALYSIS OF A SHIP'S STABILITY WITH WATER-ON-DECK,"
Journal of Marine Science and Technology: Vol. 18:
1, Article 13.
Available at: https://jmstt.ntou.edu.tw/journal/vol18/iss1/13