中文摘要：

针对行星齿轮系的精密传动特性要求,从几何学角度出发,综合考虑各构件加工和安装偏心误差、齿距偏差及齿厚偏差等随机误差成分,建立了多级传动误差耦合模型。从更符合实际规律的误差统计学角度根据蒙特卡罗法原理构造了模型中随机变量的概率过程。最后利用该方法对实例进行了模拟计算及统计分析,通过频谱分析找出了影响最大的误差因素。结果表明随机误差值的大小与系统传动误差成正比关系,误差初始相位的随机性主要倾向于减小系统传动误差。

英文摘要：

The coupling transmission error model of multistage planetary gear is developed according to precision transmission＇s requirement from a geometrical perspective,comprehensively considering eccentric error of the components in machining and assembling, deviation of pitch and deviation of tooth thickness. The work describes the stochastic process of the random variables in the model by Monte Carlo methods, which corresponds better with the law of error statistics. The coupling transmission error model of a material example is analyzed and simulated by the proposed method. Furthermore, the most influential error factors are figured out by spectral analysis. Thus, the results show that random error value is proportional to transmission error, and that the randomness of error~ s initial phase tends to reduce transmission error.