船舶非线性横摇运动的分岔控制  

Research on bifurcation control methods for ship's nonlinear rolling

作　　者：胡开业[1] 丁勇[1] 王宏伟[1] 赵藤[1] 

机构地区：[1]哈尔滨工程大学船舶工程学院,黑龙江哈尔滨150001

出　　处：《哈尔滨工程大学学报》2013年第9期1131-1134,1140,共5页Journal of Harbin Engineering University

基　　金：国家自然科学基金资助项目(51109044);国防基础科研基金资助项目(B2420132001)

摘　　要：为了提高船舶横摇运动的稳定性,基于分岔理论,设计了一分岔控制器来控制船舶非线性横摇中出现的鞍-结分岔运动.应用多尺度法得到了船舶非线性横摇受控系统主共振情况下的幅频响应方程及奇点的特征方程,由奇异性理论分析了该非线性系统的分岔特性,提出了抑制或延缓分岔运动产生的控制方法,分析了不同控制方法对船舶横摇运动和稳定性的影响.数值模拟表明所设计的分岔控制器是可行和有效的.In order to improve the stability of a ship＇s nonlinear rolling motion, a bifurcation controller was designed to control the saddle-node bifurcation movements taking place in the ship＇s nonlinear rolling, thus removing or dela-ying the occurrence of jump and hysteresis phenomena. The multi-scale method was used to get the amplitude-fre-quency response equation and characteristic equation of singular point under the primary resonance of the ship＇s nonlinear rolling controlled system. The bifurcation characteristics of this nonlinear system were analyzed by singu- larity theory. Further the control method for restraining or delaying generation of bifurcation movement was pro-posed, and the influence of different control methods on the ship＇s rolling movement and stability was analyzed. Fi-nally, numerical simulations were performed to verify the effectiveness of the proposed bifurcation control study.

关 键 词：非线性横摇 分岔控制 鞍结分岔 规则横浪 奇异性理论 

分 类 号：U661.32[交通运输工程—船舶及航道工程]