摘要
为解决悬臂梁碰撞系统的混沌控制问题,利用脉冲微分系统理论和数值模拟技术,对悬臂梁系统的混沌控制进行了研究.结果表明:当悬臂梁碰撞系统出现混沌现象时,若在满足一定条件的时间点上对该系统施加脉冲信号,系统的混沌状态将会得到有效控制.利用龙格-库塔方法对施加了脉冲信号的系统进行了数值模拟,模拟结果表明:在固定时间点处系统的混沌状态得到了有效控制,验证了脉冲控制方法的可行性与有效性.该方法对研究建筑物的动力学行为具有一定的参考价值.
In order to solve the chaos control problem in cantilever beam system, using the theory of impulsive differential system and numerical method, the chaos control problem in cantilever beam system is investigated in this study. The results show that when the chaos occurs in the cantilever beam system, at the time satisfying some conditions, if the impulsive signals are input into the system, the chaos of the system can be controlled. In addition, the numerical simulation on the system is conducted using Runge-Kutta method. The simulation results also show that the chaos in the system is controlled on a certain time, which demonstrates the feasibility and effectiveness of impulsive method. The proposed method is useful for future study on buildings＇ dynamic behavior.
出处
《辽宁工程技术大学学报（自然科学版）》
CAS
北大核心
2013年第2期241-244,共4页
Journal of Liaoning Technical University (Natural Science)
基金
河南省自然科学基金资助项目(102300410219)
河南省教育厅自然科学基金资助项目(2010B110018)
关键词
混沌控制
悬臂梁系统
非光滑系统
分岔
脉冲微分系统
脉冲控制
龙格-库塔方法
数值模拟
chaos control
cantilever beam system
non-smooth system
bifurcation
impulsive differential system
impulsive control
Runge-Kutta method
numerical simulation
