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机械碰撞振动系统分岔与混沌的参数演化; Evolution of Bifurcation and Chaos in Mechanical Vibro-impact System with Parameters
柴林 ; 吴晓明
2014-07-28
关键词碰撞振动 周期运动 分岔 混沌现象 vibro-impact periodic motions bifurcations chaos
英文摘要建立了单自由度碰撞振动机械的通用动力学模型,利用四阶龙格-库塔法求解系统响应,得到了其运动规律,利用相图、POInCAré截面映射图和分岔图等非线性动力学分析方法及数值仿真,研究了碰撞间隙、阻尼、刚度、激振频率等参数对系统运动出现的分岔和混沌现象的影响.通过对系统周期运动和分岔混沌演变临界点的设计参数研究,为含间隙的机械碰撞振动系统的参数设计提供了理论依据.; A general dynamic model of a class of Vibro-impact machinery is established.The system responses were solved by fourth-order Ronge-Kutta method to obtain its pattern of movement.Phase diagrams,Poincarémaps and bifurcation of nonlinear dynamic analysis method are used to study the effect of the system parameters,such as impact gap,damping,stiffness,vibration frequency.Through studying the critical points of design parameters for the evolution of Periodic motions,bifurcations and chaos behavior,the model can provide a theoretical basis for the design of mechanical parameters of vibro-impact system.
语种zh_CN
内容类型期刊论文
源URL[http://dspace.xmu.edu.cn/handle/2288/105778]  
专题航空航天-已发表论文
推荐引用方式
GB/T 7714
柴林,吴晓明. 机械碰撞振动系统分岔与混沌的参数演化, Evolution of Bifurcation and Chaos in Mechanical Vibro-impact System with Parameters[J],2014.
APA 柴林,&吴晓明.(2014).机械碰撞振动系统分岔与混沌的参数演化..
MLA 柴林,et al."机械碰撞振动系统分岔与混沌的参数演化".(2014).
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