并联结构轴系回转误差建模及装配优化  

Rotary error modeling and assembly optimization of parallel structure shafting

作　　者：董一鸣 江波[1,3] 李翔宇[1,3] 谢友金 吕涛[1,3] 阮萍[1,3] DONG Yi-ming;JIANG Bo;LI Xiang-yu;XIE You-jin;LV Tao;RUAN Ping(Xi’an Institute of Optics and Precision Mechanics,Chinese Academy of Sciences,Xi’an 710119,China;University of Chinese Academy of Sciences,Beijing 100049,China;Key Laboratory of Space Precision Measurement Technology,Chinese Academy of Sciences,Xi’an 710119,China)

机构地区：[1]中国科学院西安光学精密机械研究所,陕西西安710119 [2]中国科学院大学,北京100049 [3]中国科学院空间精密测量技术重点实验室,陕西西安710119

出　　处：《中国光学（中英文）》2024年第3期586-594,共9页Chinese Optics

基　　金：国家自然科学基金青年基金项目(No.12103081)。

摘　　要：为提高光电经纬仪等二维转台的轴系运动精度,本文基于雅可比旋量理论建立了一种可考虑零件结构误差及其耦合放大效应的数学模型。针对“一端固定、一端游动”的轴系结构,提出了局部并联结构的分析方法。通过数值仿真分析,获得了各零件结构误差对轴系运动精度的影响以及最优的轴系装配方案。光学口径为650 mm的光电经纬仪的装调结果表明:装配优化后的轴系运动精度较优化前提高了32.1%。所构造的轴系运动精度模型及优化方法为指导光电经纬仪等二维转台的轴系装调以及公差设计提供了一定的理论根据。In order to improve the shafting motion accuracy of two-dimensional turntables such as photoelectric theodolites,we establish a mathematical model considering both the structural error of parts and the coupling amplification effect based on Jacobian-Torsor theory.Aiming at a shafting structure with one fixed end and one swimming,an analysis method of partial parallel structure was proposed.Through numerical simulation analysis,the impact of each part’s structural errors on the motion accuracy of the shafting and the optimal shafting assembly scheme were obtained.The results of assembly and adjustment of a photoelectric theodolite with an optical diameter of 650 mm show that assembly optimization improved the motion accuracy of the shaft system by 32.1%.The precision model and optimization method of shafting motion provide a theoretical basis for the shafting adjustment and tolerance design of two-dimensional turntables such as photoelectric theodolites.

关 键 词：光学测量 二维转台 轴系运动模型 光电经纬仪 装配优化 

分 类 号：TH745[机械工程—光学工程]