舰船横摇纵摇耦合运动的亚谐共振分析  

Analysis of Sub-Harmonic Resonance in Coupled Rolling and Pitch of Ships Motion

作　　者：唐友刚[1] 姜大宁[1] 郑宏宇[1] 郑俊武[1] 

机构地区：[1]天津大学建筑工程学院,天津300072

出　　处：《天津大学学报（自然科学与工程技术版）》2003年第2期183-186,共4页Journal of Tianjin University：Science and Technology

基　　金：国家自然科学基金资助项目(50279026).

摘　　要：舰船运动的阻尼和刚度非线性,导致舰船大幅运动时横摇和纵摇之间的耦合.该文根据舰船纵摇与横摇耦合的非线性运动方程,考虑强海浪激励以及纵摇和横摇频率为2∶1的内共振关系,采用非线性动力学中多尺度方法,求出横摇和纵摇运动的摄动解,研究了亚谐共振发生的条件,揭示了亚谐共振状态下舰船横摇-纵摇运动的动力学特征.研究表明,舰船亚谐共振的发生取决于波浪遭遇频率和纵摇频率的比值以及波浪激励的大小;舰船运动发生亚谐共振时,舰船出现大幅运动甚至倾覆.The nonlinear damping and stiffness of a ship motion result in the coupling between rolling and pitch in big amplitude. Based on the nonlinear motion equations of rolling and pitch coupling and the consideration of the heave wave excitation and the 2∶1 internal resonance frequency relation between the rolling nature frequencies and the pitch nature frequencies,the authors present a multiple scale method in dynamics to get the perturbation solution of rolling and pitch motion.After the investigation of the subharmonic resonance condition,the dynamics characteristics of rolling and pitch motion under the subharmonic resonance are given. The results show that the subharmonic resonance depends on the ratio of wave frequency and pitch frequency as well as the wave excitation amplitude, and the subharmonic resonance will result in the big motion or lead to capsizing of a ship.

关 键 词：舰船倾覆 舰船非线性运动 纵摇-横摇耦合 亚谐共振 

分 类 号：U661.22[交通运输工程—船舶及航道工程]