船舶横摇运动的非线性振动与混沌  

Nonlinear Oscillations and Chaos of Ship Rolling Motion

作　　者：欧阳茹荃[1] 朱继懋[1] 

机构地区：[1]上海交通大学船舶与海洋工程学院,上海200030

出　　处：《水动力学研究与进展（A辑）》1999年第3期334-340,共7页Chinese Journal of Hydrodynamics

摘　　要：本文针对船舶非线性横摇运动模型，以波浪尺度为变参数，运用平均化方法和范德坡变换，确定系统的振动解随参数变化的定性情况；然后通过数值积分和胞映射相结合的方法，确定系统的多种形式的振动解。可以看到胞映射法能灵活地处理各种不同形式的吸引子，如周期解，各阶亚谐解乃至混沌吸引子并能方便快速地求解。横摇运动的大量非线性现象，如吸引子共存，对称性破缺，倍周期分岔等现象都被观察到。文中还给出了由一系列倍周期分岔导致的混沌运动。The quality of oscillation dynamics changing with the wave amplitude is analyzed through the method and the van der Pol transformation. Moreover, the direct integration method and the cell maping method are combined to obtain the various oscillation solutions. It is noticed that the cell maping method shows flexibility in dealing with all kinds of periodic solutions, Many nonlinear characteristic of ship rolling,such as co existence of multiple attractors, symmetry breaking, period doubling and so on, has been observed. The chaos caused by a sequences of period doubing bifurcation is emphasized.

关 键 词：船舶横摇 分岔 混沌胞映射法 非线性振动 

分 类 号：O353.2[理学—流体力学] U661.32[理学—力学]