考虑顺序接触的齿轮系统并联装配偏差分析方法  

Deviation Analysis for Parallel Assembling Characteristics of Gear System With Various Contact Sequences

作　　者：夏子康 余海东[1] 顾彬[1] 林昱锦 XIA Zikang;YU Haidong;GU Bin;LIN Yujin(Shanghai Key Laboratory of Digital Manufacture for Thin-walled Structure Technology,Shanghai Jiao Tong Univ.,Shanghai 200240,China)

机构地区：[1]上海交通大学上海市复杂薄板结构数字化制造重点实验室,上海200240

出　　处：《机械设计与研究》2023年第4期108-113,123,共7页Machine Design And Research

基　　金：国家自然科学基金资助项目(52275502)。

摘　　要：装配过程偏差分析对齿轮系统的精度和性能的提升有重要意义。多级行星齿轮传动系统装配关系复杂,含有并联装配关系。为了提高齿轮传动系统装配偏差分析精度,需要克服现有偏差分析方法只适用于串行尺寸链而不适用于并联装配关系的问题。并联装配关系中的多尺寸链路径具有时间上的先后关系,可以通过考虑零件装配中的顺序接触步骤来解决并联装配关系的偏差分析。发展一种考虑顺序接触的偏差分析矩阵方法,引入零组件装配接触先后顺序,提出装配步和主次接触副定义新方法;基于坐标变换矩阵建立具有并联装配关系的多级行星齿轮系统偏差传递分析模型。对含并联装配关系的齿轮系统装配过程偏差进行分析,与经典矩阵方法、雅可比旋量方法的偏差分析结果进行比较,结果表明考虑装配顺序的齿轮系统并联装配偏差分析方法可以显著提高分析准确度。Deviation analysis is important for the accuracy and performance improvement of gear trains.Complex parallel assembly relation is common in multi-stage planetary gear trains.In order to improve the prediction accuracy,many analysis methods for deviation propagation are only applicable to serial dimensional chains and are not used for the parallel assembly relations.The chronological contact of the parts is worth considering because the establishment of parallel assembly relations is sequential.In this paper,a matrix-based deviation analysis method considering sequential contact is developed.The definition of assembly steps including the primary and secondary contact pairs is proposed according to the contact sequence of assembly components.Based on homogeneous transformation matrix,a deviation propagation model of a multi-stage planetary gear train with parallel assembly relation is established.The accuracy of deviation analysis resulted by a numerical example of a parallel gear assembly is compared with alternative methods.The results indicate that the new method may significantly improve the accuracy of the analysis.

关 键 词：装配顺序 并联装配 齿轮系统 偏差分析 主次接触副 

分 类 号：TH124[机械工程—机械设计及理论]