行星齿轮传动系统模态变化机理及变区间动态灵敏度分析  

Modal Change Mechanism and Variable Interval Dynamic Sensitivity Analysis of Planetary Gear Transmission System

作　　者：严鹏飞 李亚宁[1,2] 高强 蒋方宇[1,2] 昝晓磊 YAN Peng-fei;LI Ya-ning;GAO Qiang;JIANG Fang-yu;ZAN Xiao-lei(School of Mechanical Engineering,North University of China,Taiyuan 030051,China;Shanxi Provincial Key Laboratory for Advanced Manufacturing Technology,North University of China,Taiyuan 030051,China)

机构地区：[1]中北大学机械工程学院,太原030051 [2]中北大学先进制造技术山西省重点实验室,太原030051

出　　处：《科学技术与工程》2025年第10期4109-4117,共9页Science Technology and Engineering

基　　金：山西省基础研究计划(202203021222053);中北大学先进制造技术山西省重点实验室开放课题研究基金(XJZZ202207)。

摘　　要：针对行星齿轮传动系统优化设计过程中确定参数有效设计范围的问题,开展两级行星齿轮传动系统参数动态灵敏度研究。以车用两级行星齿轮传动系统为研究对象,采用拉格朗日方程构建系统的固有振动模型,对两级行星排的振型特点进行归纳总结,推导行星系统的振动能量的表达式,揭示了振动能量的分布状态及能量只在同一阶次振动传递的规律。进一步探究了系统固有频率的模态变化机理,阐述参数变化引发系统固有频率模态跃迁的振动能量传递本质。采用求导法推导系统固有频率的参数灵敏度方程,研究模态跃迁现象对参数灵敏度的影响规律,揭示固有频率灵敏度随参数取值改变的动态变化规律,提出了基于模态跃迁现象划分参数灵敏度区间的方法,实现对优化设计阶段变量取值范围选择工作的有效指导。Aiming at the problem of determining the effective design range of parameters during the optimization design of planetary gear transmission system,the dynamic sensitivity of two-stage planetary gear transmission system parameters was studied.Taking the two-stage planetary gear transmission system of vehicle as the research object,the natural vibration model of the system was established by Lagrange,the vibration modal characteristics of the two-stage planetary system were summarized,the expression of the vibration energy of the planetary system was deduced,the distribution state and the law of the vibration energy transfer in the same order were studied,and the mode change mechanism of the natural frequency of the system was further explored.The vibration energy transfer essential of the system natural frequency mode transition triggered by parameter change was analyzed.The parameter sensitivity equation of the natural frequency of the system is derived,the influence law of the modal transition phenomenon on the parameter sensitivity was studied,and the dynamic change law of the natural frequency sensitivity with the change of the parameter value was revealed.The method of dividing the parameter sensitivity interval based on the modal transition phenomenon was proposed,which realizes the effective guidance for the selection of the variable value range in the optimization design stage.

关 键 词：行星齿轮传动系统 模态跃迁 参数灵敏度 模态能量 

分 类 号：TH132.425[机械工程—机械制造及自动化]