Continuation and Extension of: Analysis of Multiple Degrees of Freedom Forced Ship Rolling Using Geometric Analysis

9402566 Falzarano本项目涉及使用几何方法分析船舶强迫横摇的多自由度。该项目的主要重点是对其他运动模式的临界滚动运动的耦合效应，导致改进的动态模型。所使用的分析技术包括庞加莱映射，不变流形相交，Melnikov向量和叶动力学。还考虑了偏航耦合对横摇和横滚的影响。系统的尺寸大于三个被认为是发展的解耦和投影技术的强调，它允许在低维空间的可视化，而不会忽略显着的动态细节。利用慢变系统和非线性正常模式进行计算机仿真。 ***

9402566 Falzarano This project deals with the analysis of multiple degrees-of freedom on forced ship rolling using geometric methods. The major emphasis of the project is on the coupling effect of other motion modes on the critical roll motion leading to improved dynamic models. Analytical techniques used include Poincar maps, invariant manifold intersections, Melnikov vectors and lobe dynamics. The effects of yaw coupling on sway and roll are also considered. Systems of dimensions greater than three are considered and a development of decoupling and projection techniques is emphasized which allows visualization in lower dimensional spaces without neglecting significant dynamic details. Slowly varying systems and nonlinear normal modes are utilized for computer simulations. ***