基于胞映射法的破损进水船非线性横摇运动  

Study on non-linear rolling motion of a forced flooded ship using cell mapping method

作　　者：刘辉[1] 浦金云[1] 陈晓洪[1] 吴向君[1] 

机构地区：[1]海军工程大学船舶与动力学院,湖北武汉430033

出　　处：《华中科技大学学报（自然科学版）》2009年第8期116-119,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：海军武器装备科研项目基金(200805060202)

摘　　要：通过分析破损进水船横摇运动时船和舱内水的能量耦合作用,利用拉格朗日方程建立了具有淹水舱的舰船横摇运动的两自由度微分方程,进行解耦得到单自由度微分运动方程.改进了广义胞映射进行非线性动力系统研究的一种应用算法,系统地研究了破损进水舰船在Ⅱ类和Ⅲ类舱进水时各种波浪激励作用下的横摇周期、多周期和混沌响应域,研究结果表明破损进水船的横摇运动在不同系统参数和外部激励下,可能是单频的,也可能是多频的;可能是周期的,也可能是混沌的.The energy coupling between the flooded ship and the water in its compartments was analyzed when the flooded ship was in non-linear rolling motion. The differential equation with two freedom rolling motion was established by using Lagrange principle and a single-freedom ordinary derivation equation was obtained by decoupling. Improving the arithmetic of cell mapping to analyze rolling cycle, multi-cycle and chaos response domain of the type Ⅱ and type Ⅲ flooded ship under excitation of various Waves. The results of research indicate the non-linear rolling motion may be single-frequency or multi-frequency, and may be periodic or chaos with different system parameter and exterior excitation.

关 键 词：船舶 破损 混沌 横摇运动 非线性 胞映射法 

分 类 号：U661.3[交通运输工程—船舶及航道工程]