误差随机性对行星齿轮系传动精度的影响特性  

Influence of error's randomness on transmission accuracy of planetary gear

作　　者：王朝兵[1] 陈小安[1] 陈宏[1] 秦伟[1] 吴国洋[1] 

机构地区：[1]重庆大学机械传动国家重点实验室,重庆400044

出　　处：《重庆大学学报（自然科学版）》2012年第9期41-47,共7页Journal of Chongqing University

基　　金：国家自然科学基金资助项目(51075407);重庆市自然科学基金计划重点项目(CSTC,2009BA3020);中央高校基本科研业务费资助项目(CDJXS12110002);重庆市工业发展(产研专项)项目(10-CXY-13)

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。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.

关 键 词：行星齿轮 几何学 误差统计学 耦合模型 蒙特卡罗法 

分 类 号：TH132.4[机械工程—机械制造及自动化]