考虑多因素的减速器齿轮传动系统非线性动力学特性研究  

Study on nonlinear dynamics of gearbox transmission system considering multiple influencing factors

作　　者：章菊[1] 梁爽[2] 李学鋆 Zhang Ju;Liang Shuang;Li Xueyun(Key Laboratory of Automotive Power Train and Electronics,Hubei University of Automotive Technology.442002,Shiyan.C hina;School of College of Mechanical Engineering.Sichuan University,610065,Chengdu,China)

机构地区：[1]湖北汽车工业学院汽车动力传动与电子控制湖北省重点实验室,十堰442002 [2]四川大学机械工程学院,成都610065

出　　处：《应用力学学报》2021年第2期794-801,共8页Chinese Journal of Applied Mechanics

基　　金：湖北省教育厅科学研究计划项目(B2019083);湖北省协同创新中心项目(2015XTZX0412)。

摘　　要：为研究外界激励和系统自身参数对减速器传动系统稳定性的影响,基于Hertz接触理论和分形理论,综合考虑接触动载荷、等效接触黏性阻尼、时变啮合刚度以及齿侧间隙啮合误差等因素,建立减速器齿轮副系统非线性动力学模型,分析齿侧间隙啮合误差幅值、时变啮合刚度等因素对系统出现混沌运动临界条件的影响规律,通过仿真获取时间历程图、幅值谱图、相图和Poincaré截面图并进行分析。结果表明:控制参数f和η发生变化时,系统经历单倍周期运动、多倍周期运动和混沌运动三种不同的运动状态;齿侧间隙啮合误差幅值选取较大时,系统可能会提前进入混沌状态;系统时变啮合刚度选取较大时,会导致系统的混沌运动提前发生,当时变啮合刚度进一步增大时,系统会从混沌运动激变到单倍周期的稳定运动。In order to explore the influence of the external excitation and system parameters on the stability of automobile reducer transmission system,based on Hertz contact theory and fractal theory,the nonlinear dynamic model of the gear pair system of the reducer is established by considering the dynamic contact load,the equivalent contact viscous damping,the timely variable stiffness and the error amplitude.Influence of the amplitude and frequency of the backlash error,the time-varying meshing stiffness and other factors on the critical condition of chaotic motion of the system is derived.The time history diagram,frequency spectrum diagram,phase diagram and Poincare cross-section diagram are obtained by simulation and analyses,the accuracy of the mathematical model and the derived results are verified by the simulation results,it also shows that,when the backlash error is large,the system may enter into chaos state.When the error amplitude is small,the influence of error frequency on system stability is not obvious.When the control parameters f andηchange,the system may appear three different motion states,that is,single period motion,periodic motion and chaotic motion.When the stiffness of the system is large,the chaotic motion of the system will occur in advance,but when the stiffness is further increased,the system will change from chaotic motion to single period stable motion.

关 键 词：汽车减速器 时变啮合刚度 齿侧间隙啮合误差 混沌运动 非线性特性 

分 类 号：U461.6[机械工程—车辆工程]