CAJ | 학술논문

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。
위료제고선박횡요운동적은정성，기우분차이론，설계료일분차공제기래공제선박비선성횡요중출현적안-결분차운동。응용다척도법득도료선박비선성횡요수공계통주공진정황하적폭빈향응방정급기점적특정방정，유기이성이론분석료해비선성계통적분차특성，제출료억제혹연완분차운동산생적공제방법，분석료불동공제방법대선박횡요운동화은정성적영향。수치모의표명소설계적분차공제기시가행화유효적。
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.