摆线针轮行星传动系统时变可靠性建模与分析  

Time-Varying Reliability Modelling and Analysis for the Cycloid-Pin Planetary Transmission System

作　　者：李垚 张栓[1] 邓月 倪高翔 方子帆 杜雪松 LI Yao;ZHANG Shuan;DENG Yue;NI Gaoxiang;FANG Zifan;DU Xuesong(College of Mechanical&Power,China Three Gorges University,Yichang Hubei 443002,China;State Key Laboratory of Mechanical Transmission for Advanced Equipment,Chongqing University,Chongqing 400044,China)

机构地区：[1]三峡大学机械与动力学院,湖北宜昌443002 [2]重庆大学高端装备机械传动全国重点实验室,重庆400044

出　　处：《机床与液压》2025年第4期19-25,共7页Machine Tool & Hydraulics

基　　金：湖北省自然科学基金计划项目(2023AFB066);国家自然科学基金项目(52405067)。

摘　　要：针对精密减速器摆线针轮行星传动系统服役可靠性问题,考虑关键传动构件力学性能和弹性变形,将太阳轮、摆线针轮和针齿等传动构件进行柔性化处理,建立摆线针轮行星传动系统刚柔耦合动力学模型,分析关键传动构件的动态特性。结果表明:太阳轮输入转矩相对误差为0.96%,行星架输出角速度相对误差为0.06%,验证了传动系统刚柔耦合动力学模型的正确性。采用模糊函数和区间不确定性方法,表征关键传动构件的强度退化过程,基于应力-强度干涉理论和威布尔分布,建立减速器齿轮系统和轴承系统时变可靠性模型,探究强度退化和参数不确定性对摆线针轮行星传动系统关键传动构件的时变可靠性和灵敏度的影响规律,并提出摆线针轮行星传动系统失效风险图。结果表明:在关键构件服役5000 h后,摆线轮的可靠度(0.91)在服役过程中最低,是传动系统最薄弱的环节;系统服役时间越长,强度退化导致系统失效的风险越大。In view of the service reliability problem of the cycloid-pin planetary transmission system of the precision reducer,the mechanical properties and elastic deformation of the key transmission components were considered,and the transmission components such as the sun gear,cycloid wheel and pin were flexibly processed to establish the rigid-flexible coupling dynamic model of the cycloid-pin planetary transmission system.The dynamic characteristics of the key transmission components were analyzed.The results show that the relative error of the input torque of the sun gear is 0.96%,and the relative error of the output angular velocity of the planetary carrier is 0.06%,which verify the correctness of the dynamic model of the rigid-flexible coupling of the transmission system.The fuzzy functions and interval uncertainty methods were used to characterize the strength degradation process of key transmission components.The time-varying reliability models of the reducer gear and bearing systems were established based on the stress-strength interference theory and Weibull distribution.The influences of the strength degradation and the parameter uncertainty on the time-varying reliability and sensitivity of key transmission components for the cycloid-pin planetary transmission system were explored.Moreover,the failure risk map of the cycloid-pin planetary transmission system was developed.The results show that after servicing 5000 h of key components,the reliability of the cycloidal wheel(0.91)is the lowest in the service process,which is the weakest link of the transmission system,and the longer the service time of the system is,the greater the risk of system failure caused by strength degradation is.

关 键 词：摆线针轮行星传动系统 刚柔耦合动力学模型 强度退化 参数不确定性 可靠性分析 

分 类 号：TH122[机械工程—机械设计及理论]