Analysis of Multiple Degree of Freedom Ship Rolling Motion using Geometric Methods

这项研究项目将应用最近开发的几何 面向大尺度区域的动力系统分析方法 小型渔船的振幅运动。该方法的 应用包括庞加莱，地图，不变流形，叶 分析和Melnikov矢量分析。迈出更 船舶倾覆的现实模型，该方法将是全球性的， 允许多自由度和多频率 兴奋。这项研究工作的成果预计将 从而更好地了解血管和 影响船舶稳定性的环境特性。*

This research project will apply recently developed geometrical methods for analyzing dynamical systems towards the area of large amplitude motions of a small fishing vessel. The methods to be applied include Poincare, maps, invariant manifolds, lobe analysis and Melnikov vector analysis. To achieve a more realistic model of ship capsizing, the approach will be global, admitting multiple degrees of freedom and multiple frequency excitations. The products of this research effort are expected to lead to a better understanding of the interaction of vessel and environment characteristics influencing vessel stability.***