中小型船舶纵-横摇运动非线性耦合特性  

Nonlinear Coupling Characteristics of Pitch and Roll Motions for Small and Medium-sized Vessels

作　　者：邹康 杨博 吴清伟 ZOU Kang;YANG Bo;WU Qingwei(Shanghai Merchant Ship Design and Research Institute,Shanghai 201203,China)

机构地区：[1]上海船舶研究设计院,上海201203

出　　处：《中国造船》2024年第5期67-77,共11页Shipbuilding of China

基　　金：上海市科学技术委员会“科技创新行动计划”社会发展科技攻关项目(22dz1203900)。

摘　　要：对建立的非线性纵-横摇耦合运动方程采用多尺度摄动及直接数值积分方法,进行中小型船舶纵-横摇非线性运动耦合机理、能量传递机制及主要影响因素的研究。顶浪状态及纵横摇发生内共振耦合时,纵摇运动出现饱和现象,不随波浪力增加而增加;能量通过耦合向横摇传递,使横摇幅值增大;随着横摇阻尼的增加,横摇运动幅值明显减小,纵摇运动幅值有所增加;纵摇阻尼增加,纵摇运动幅值略有减小,横摇运动幅值将逐渐减少;横摇固有频率在偏离内共振关系一定程度后,横摇运动迅速消失。The equations of nonlinear pitch and roll coupling motion are established and solved by applying multi-scale perturbation and direct numerical integration method,which are used to investigate the coupling and energy transfer mechanisms and primary influencing factors of nonlinear pitch and roll motion for small and medium-sized ships.When the pitch and roll motions are in internal resonance coupling on the head-sea state,the pitch motion will exhibit a saturation phenomenon.The pitch amplitude does not increase with the increase of wave force.The energy is transferred to the roll motion through the coupling effect,and the amplitude of the roll increases.With the increase of the roll damping,the amplitude of the roll motion decreases,the amplitude of the pitch motion increases slightly.Increase of the pitch damping has less effect on the pitch motion,the roll amplitude decreases obviously.The roll motion diminishes rapidly when natural frequency of roll motion deviates significantly from the internal resonance relationship.

关 键 词：船舶运动 纵-横摇 非线性 耦合 

分 类 号：U661.1[交通运输工程—船舶及航道工程]