含冲击不平衡悬置转子系统的非线性动力学特性分析  

ANALYSIS OF NONLINEAR DYNAMIC CHARACTERISTICS OF AN IMPACT-UNBALANCED SUSPENDED ROTOR SYSTEM

作　　者：刘俊杰 张凌云 马少辉 兰海鹏 张有强 LIU JunJie;ZHANG LingYun;MA ShaoHui;LAN HaiPeng;ZHANG YouQiang(School of Mechanical and Electrical Engineering,Key Laboratory of Modern Agricultural Engineering,Tarim University,Alar 843300,China;School of Mechanical Engineering,Guilin University of Aerospace Technology,Guilin 541004,China)

机构地区：[1]塔里木大学机械电气化工程学院现代农业工程重点实验室,阿拉尔843300 [2]桂林航天工业学院机械工程学院,桂林541004

出　　处：《机械强度》2022年第5期1032-1038,共7页Journal of Mechanical Strength

基　　金：新疆生产建设兵团科技攻关项目(2018AB007);兵团科技创新人才计划项目(2021CB886);塔里木大学校长基金人才项目(TDZKSS202118);桂林航天工业学院校级基金项目(XJ21KT23)资助。

摘　　要：建立了一个含冲击不平衡悬置转子系统的力学模型,并推导出系统的无量纲运动方程,采用四阶Runge-Kutta法对此模型进行了数值计算,综合运用分岔图、轴心轨迹图、Poincaré截面图、轴心位移时间历程图、最大力矩图和占空比图研究系统的动力学行为,辨识出了转子的冲击次数、所受最大力矩和冲击时间的占比,并分析了转速比和刚度系数的变化对该系统的非线性动力学特性的影响。分析结果表明:在中速阶段的一定参数域下系统呈现混沌运动,在其他参数域下系统趋于较为稳定的周期运动;随着刚度系数的增大,系统的混沌运动区域和最大力矩增加,系统的稳定性降低。Established an impact-unbalanced suspended rotor system mechanics models,and the dimensionless motion equation of system is deduced,using the fourth order Runge-Kutta method for the numerical calculation of this model,the integrated use of bifurcation diagram,orbit diagram,Poincare section diagram,the axis displacement time history diagram,maximum moment diagram and duty ratio diagram study the dynamic behavior of the system,identify the impact of the rotor,the maximum torque and impact by the proportion of time,and analyzed the speed ratio and the change of the stiffness coefficient of the influence of the nonlinear dynamic characteristics of the system.The analysis results show that the system presents chaotic motion in a certain parameter domain at the medium velocity stage,while the system tends to stable periodic motion in other parameter domains.With the increase of the stiffness coefficient,the chaotic motion region and the maximum moment of the system increase,and the stability of the system decreases.

关 键 词：转子系统 冲击 非线性 分岔 

分 类 号：TH113.1[机械工程—机械设计及理论]