考虑误差下的变位齿轮行星轮系载荷特性研究  

Study on the Load Characteristics of the Planetary Gear Transmission System with Addendum Modification While Considering Errors

作　　者：许芃芃 陈立锋[1] 赵英军 Xu Pengpeng;Chen Lifeng;Zhao Yingjun(School of Mechanical Engineering,Hunan University of Science and Technology,Xiangtan 411201,China;Shenzhen Megmeet Electrical Co.,Ltd.,Shenzhen 518052,China)

机构地区：[1]湖南科技大学机电工程学院,湖南湘潭411201 [2]深圳麦格米特电气股份有限公司,广东深圳518052

出　　处：《机械传动》2024年第4期33-43,共11页Journal of Mechanical Transmission

基　　金：湖南省教育厅重点资助项目(19A170)。

摘　　要：针对制造误差和安装误差使得变位齿轮行星轮系行星轮在径向和周向的安装位置与无偏移值存在偏差,进而使行星轮间所受载荷不均匀的问题,开展了变位齿轮行星轮系载荷特性研究。基于转子动力学理论,考虑时变刚度和行星轮的径向与周向偏移,建立了变位齿轮行星传动系统5自由度动力学模型;采用龙格库塔法求解了系统的响应和频域图,研究了变位齿轮行星轮系的载荷特性,分析了在不同径向偏移量、周向偏移量、复合偏移量情况下的行星轮间载荷分布特性,探讨了行星轮的径向与周向偏移对行星轮系载荷分配的影响,得到了变位齿轮行星轮系载荷振动幅值在时间和频率下的变化规律。仿真结果表明,考虑误差的行星轮系载荷特性与无偏移情况下的载荷特性有较大的差异,其幅值受径向偏移的影响较大,其中,径向偏移量大对行星轮所受载荷的影响最大;在安装过程中,行星轮的微小偏移都可能导致载荷特性的巨大变化。搭建了行星传动系统振动测试试验平台,测试了行星减速机壳体的倍频振动响应信号,得到了行星传动系统载荷与振动响应之间的关系。试验结果的振幅变化趋势与仿真分析结果中的振幅变化趋势相似,证明所建立的动力学模型及理论计算比较准确。A study on the load characteristics of the modified gear planetary gear systems is conducted to address the issue of uneven loads between planetary gears due to manufacturing and installation errors,which result in deviations between the radial and circumferential installation positions of planetary gears and non-offset values.Based on the theory of rotor dynamics,the time-varying stiffness and the radial and circumferential offsets of the planetary gears are considered,and the five-degree-of-freedom dynamic model of the planetary gear transmission system with addendum modification is established.The response and frequency spectrum of the system are solved by the Runge-Kutta method.The load distribution characteristics of the planet gears under different radial offsets,circumferential offsets,and comprehensive offsets are analyzed.The influence of the radial and circumferential offset of the planetary gear on the load distribution of the planetary gear transmission system is discussed,and the variation law of the load vibration amplitude of the planetary gear transmission system with addendum modification under the time and frequency is obtained.The simulation results show that the load characteristics of the planetary gear train considering the error are quite different from those in theory.Its vibration amplitude of the planetary gear transmission system is greatly affected by the radial offset,and the large radial offset has the greatest impact on the load of the planetary gear.Small deflections of the planetary gear during installation can lead to large changes in the load characteristics.The planetary gear transmission system load test platform is built,the frequency-doubling vibration response signal of the planetary reducer housing is tested,and the relation between the planetary gear transmission system load force and vibration response is obtained.The amplitude variation trend in the experimental results is similar to that in the simulation analysis,and the correctness of the established model and soluti

关 键 词：变位齿轮 行星轮系 时变刚度 载荷特性 

分 类 号：TH132.41[机械工程—机械制造及自动化]