行星齿轮系统载荷分配行为机理及影响因素分析

将中心构件轴承弹性变形和太阳轮-行星轮-内齿圈支路的弹性变形分别集中在行星架轴承和行星轮轴承中心得到行星齿轮系统的等效模型,并采用行星架刚体运动来模拟行星齿轮系统的载荷分配行为,从而得到行星齿轮系统的载荷分配求解模型.在此基础上得到了载荷分配与轴承等效刚度、各种误差之间的定量关系,分析了各种影响因素对载荷分配的影响规律.结果表明:当行星架轴承与行星轮轴承的等效刚度相差2个数量级以上时,载荷分配只与行星轮轴承等效刚度和行星轮切向位置误差有关,减小行星轮切向位置误差和行星轮轴承等效刚度可实现均载;行星轮和太阳轮偏心误差使系统受到周期性激励,动态载荷系数增大,因此减小行星轮和太阳轮偏心误差可实现动态均载.

Analysis of behavior mechanism and influential factors of load sharing in an epicyclic gear system

The elastic deformations of bearings of the coaxial members and a sun-planet-ring path were respectively considered on the carrier's and planet's bearing center, and then an equivalent model of an epicyclic gear system was established. The load sharing behavior of an epicyclic gear system was simulated by the motions of the carrier rigid body, and a model to calculate load sharing in an epicyclic gear system was presented. And then the quantitative relations among load sharing, the equivalent stiffness of bearing and errors were obtained by the proposed approach, and the influences of all kinds of factors on load sharing were analyzed. The results show that when the difference between the equivalent stiffness of carrier bearing and the equivalent stiffness of planet bearing is more than two orders of magnitude, load sharing is only related to the equivalent stiffness of planet bearing and tangential position error of the planet, so the load can be evenly distributed by reducing tangential position error of planet and the equivalent stiffness of planet bearing. Cyclical excitations will be caused by the eccentricity errors of planet or sun, and the dynamic load coefficient can be increased, so the dynamic loads will be evenly distributed by reducing the eccentricity errors of the planet and sun.