两自由度含间隙弹性碰撞振动系统的等效电路仿真  

Equivalent circuit simulation of a two-degree-of-freedom elastic collision vibration system with gaps

作　　者：朱喜锋[1,2] 付文斌 马硕 郑冬 ZHU Xifeng;FU Wenbin;MA Shuo;ZHENG Dong(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)

机构地区：[1]兰州交通大学机电工程学院,兰州730070 [2]甘肃省轨道交通装备系统动力学与可靠性重点实验室,兰州730070

出　　处：《机械强度》2025年第1期31-41,共11页Journal of Mechanical Strength

基　　金：甘肃省科技计划项目(20JR5RA424)。

摘　　要：以一类两自由度含间隙及弹性约束碰撞系统为研究对象,通过数值仿真方法,研究了系统在低频工况下周期运动的区域分布及转迁规律,得出随着激振频率的减小,p/1周期运动发生擦边分岔转迁为(p+1)/1周期运动,当碰撞次数足够大时,系统呈现Chattering-impact特性。随后建立与碰撞系统完全等效的电路模型并进行仿真实验。研究结果表明,建立等效电路产生的结果与数值仿真产生的结果相一致,且等效电路在仿真实验时运算速度更高效,能够实现快速的模态转换及参数调节,使之更加便捷,为非线性动力学的研究提供了一种研究方法。A two-degree-of-freedom collision system with gap and elastic constraint was used as the research object,and the regional distribution and transitions of the periodic motion of the system under low frequency conditions were studied by numerical simulation.It was obtained that with the decrease of excitation frequency,the p/1 periodic motion occurs with grazing bifurcation transitions to(p+1)/1 periodic motion.When the number of collisions was large enough,the Chatteringimpact characteristics were presented.Then a circuit model that was completely equivalent to the collision system was established and simulation experiments were carried out.The results show that the results generated by establishing the equivalent circuit are consistent with those generated by numerical simulations,and the equivalent circuit is more efficient in simulation experiments,which can realize fast modal transitions and parameter adjustments,making it more convenient and providing a research method for the study of nonlinear dynamics.

关 键 词：振动系统 模态转换 数值仿真 颤碰运动 等效电路 

分 类 号：TH39[机械工程—机械制造及自动化]