一类双悬臂含间隙振动系统的混沌控制策略研究  

CHAOS CONTROL STRATEGY FOR A DOUBLE CANTILEVER VIBRATION SYSTEM WITH A CLEARANCE

作　　者：王誉蓉[1,2] 

机构地区：[1]宁夏大学机械工程学院,银川750021 [2]上海交通大学机械系统与振动国家重点实验室,上海200240

出　　处：《动力学与控制学报》2012年第3期252-257,共6页Journal of Dynamics and Control

基　　金：宁夏回族自治区自然科学基金资助项目(NZ1022);宁夏大学科学研究基金资助项目((E)ndzr09-8)~~

摘　　要：由于一类双悬臂含间隙振动系统具有典型非光滑特性和有明显的非线性,这直接导致了系统发生分叉与混沌现象的可能性.为此针对该系统的混沌现象,利用基于能量的开环控制策略,构造有界控制器对混沌行为进行控制,混沌运动可被引导到稳定的目标周期轨道,并对控制的收敛速度进行分析,数值模拟结果表明了该控制策略的有效性与可行性,可为碰振系统的优化设计,振动控制和安全运行提供了理论参考.A double cantilever vibration system with a clearance has the typical non-smooth and nonlinear characteristics, which can induce bifurcation and chaos. Thus, the open-loop control strategy based on energy was studied and a bounded controller was proposed. The chaotic motion of the system can be directed into the stable objective period motion by this strategy. Furthermore, the convergence speed of the controller was analyzed. By numerical simulation, the effectiveness and applicability of this method was demonstrated, which are helpful for designing, vibration control and safety operating of vibro-impact systems.

关 键 词：非光滑特性 分叉 混沌 碰振系统 

分 类 号：TB535[理学—物理]