关键词: 齿轮磨损, 随机过程, 传动精度, 时变可靠性, 优化设计

Abstract: Aiming at the decrease of transmission accuracy reliability caused by dynamic gear wear during the operation of the planetary gear reducer,a time-variant reliability model of transmission accuracy considering dynamic gear wear was established,the transmission accuracy reliability analysis and tolerance optimization were carried out at the same time.Based on the meshing line analysis method,a transmission error model of the planetary gear reducer was established,the random process of the dynamic gear wear was numerically simulated and the wear loss was predicted by Gaussian Process.Taking a two-stage 2K-H planetary gear reducer as an example,an improved time-variant reliability analysis method based on stochastic process discretization was used to solve the transmission accuracy reliability.With machining cost as the optimization object and reliability of transmission accuracy and gear wear as the constraint conditions,the model of optimization design was proposed.The sequential quadratic programming method was used to obtain the optimum design parameters which had an influence on machining cost.The results proved that the machining cost was reduced by 3.8% after optimization design,and the transmission accuracy reliability of the reducer reaches 99.33% which was 10.96% higher than that before optimization at the time of its expected life.

Key words: gear wear, stochastic process, transmission accuracy, time-variant reliability, optimization design