%0 Journal Article
%T 阻尼控制策略抑制碰撞振动系统的分岔与混沌<br>Controlling Bifurcation and Chaos of Vibro-impact System by Damping Control Law
%A 吕小红
%J 机械科学与技术
%D 2016
%X 以两自由度碰撞振动系统为研究对象，数值仿真了系统1/n周期运动经周期倍化分岔和Hopf分岔向混沌转迁的路径。使用微幅阻尼控制策略，对系统的分岔行为和混沌进行了控制，控制信号是根据质块M1的运动方向来改变阻尼系数而得到的。在此基础上引入反馈控制方法，即在Poincaré截面里，选择变量β*=2π或4π作为期望目标，动态地调节控制参数，把系统的多碰周期运动、概周期运动和混沌有效地控制到单碰周期轨道。仿真结果表明，输入的控制信号u=γ|x1|是一个微幅阻尼信号，达到控制的目标只消耗少量的能量。<br>A two-degree-of-freedom impact oscillator is considered. Routes from doubling-periodic bifurcations and Hopf bifurcations of period-n single-impact motions to chaotic motions are illustrated by numerical simulation. Bifurcation behavior and chaotic motions are suppressed by using a small-amplitude damping control law. The control signal is obtained by varying the damping coefficient according to the velocity direction of mass M1. Choosing the variable β*=2π or 4π in Poincaré section as the desired target, the control parameter is dynamically adjusted by applying the feedback control technique. The multi-impact periodic motions,quasi-periodic motions and chaotic behavior in the system are effectively controlled to the single-impact periodic motion. Numerical results show that the control input u=γ|x1| is a small-amplitude damping signal, it is necessary to apply a small quantity of energy to the control implementation
%K 碰撞振动
%K 分岔
%K 混沌
%K 控制&lt
%K br&gt
%K vibration
%K dynamics
%K bifurcation
%K chaos
%K control
%U http://journals.nwpu.edu.cn/jxkxyjs/CN/abstract/abstract6487.shtml