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含干摩擦振动系统的共存吸引子与亚谐碰撞运动研究 被引量:4

Analysis of Sub-harmonic Chattering Motion and Coexisting Attractors under Low Excitation Frequency in a Dynamic System with Dry Friction
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摘要 对一类简谐激励作用下含干摩擦和间隙的单自由度碰撞振动系统的动力学特性进行了研究,通过数值仿真揭示了p/1运动随激励频率变化的演化过程以及共存吸引子的存在范围与特点,发现随激励频率递减,系统会产生Grazing分岔导致碰撞次数依次加一直至发生完整颤碰-粘滞运动,在相邻p/1运动窗口之间会存在由于系统的不同初始条件包含有两种不同运动的共存吸引域. The dynamic characteristics of a kind of vibration system with dry friction and clearance under harmonic excitation are studied in this paper.The evolution process of p /1 motion with the change of excitation frequency,the existence range,and characteristics of coexisting attractors are revealed by numerical simulation.The results show that the grazing bifurcation will occur with the decreasing excitation frequency,the number of impacts will increase successively as a result of that and finally change into the complete chattering-impact motion with sticking.The coexistence attraction domains which have two different motions corresponding to different initial conditions exist between two adjacent fields of p /1 motions.
作者 王同慧 朱喜锋 WANG Tong-hui;ZHU Xi-feng(School of Mechanical Engineering,Lanzhou Jiaotong University,Lanzhou 730070,China;Key Laboratory of System Dynamics and Reliability of Rail Transport Equipment of Gansu Province,Lanzhou 730070,China)
出处 《兰州交通大学学报》 CAS 2019年第2期121-125,147,共6页 Journal of Lanzhou Jiaotong University
基金 兰州交通大学“百名青年优秀人才培养计划”基金(152022)
关键词 间隙 干摩擦 颤碰 共存吸引子 clearance dry friction chattering-impact motion coexistence attractors
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