横摇和纵摇非线性耦合下船舶运动的全局动力学  

Global dynamics of ship motions considering the nonlinear coupling between pitch and roll modes

作　　者：周莎[1,2] 张伟[1,2] 于天俊 杨晓东 

机构地区：[1]北京工业大学机械工程与应用电子技术学院,北京100124 [2]机械结构非线性振动与强度北京市重点实验室,北京100124

出　　处：《振动与冲击》2017年第4期214-217,共4页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(11290152;11322214);北京市高等学校人才强教计划资助项目(11072008)

摘　　要：针对横摇和纵摇非线性耦合下船舶的混沌运动,首次应用能量相位法研究了船舶动力系统在1∶2内共振,第2阶主共振情形下系统的全局分叉及多脉冲混沌动力学行为,揭示了船舶运动存在模态作用、能量转移和多脉冲混沌运动的机理,并给出了船舶系统发生多脉冲混沌运动的参数区间。数值模拟验证了横摇和纵摇非线性耦合下船舶运动系统存在多脉冲混沌运动。The global dynamics of ship motions considering the nonlinear coupling between pitch and roll modes in the presence of one to two internal resonance and principal resonance of the second mode were investigated using the energy-phase method. A major goal of the paper was to reveal the mechanism about modes interaction, energy transfer and multi-pulse chaotic motions of the ship. The certain parameter regions in which multi-pulse chaotic motions that might occur were given. Numerical simulations were performed to confirm the theoretical predictions. © 2017, Editorial Office of Journal of Vibration and Shock. All right reserved.

关 键 词：船舶动力学 非线性耦合 能量相位法 多脉冲混沌运动 

分 类 号：O322[理学—一般力学与力学基础] O415.5[理学—力学]