Volume 17 Issue 3
May  2024
Turn off MathJax
Article Contents
DONG Yi-ming, JIANG Bo, LI Xiang-yu, XIE You-jin, LV Tao, RUAN Ping. Rotary error modeling and assembly optimization of parallel structure shafting[J]. Chinese Optics, 2024, 17(3): 586-594. doi: 10.37188/CO.2023-0171
Citation: DONG Yi-ming, JIANG Bo, LI Xiang-yu, XIE You-jin, LV Tao, RUAN Ping. Rotary error modeling and assembly optimization of parallel structure shafting[J]. Chinese Optics, 2024, 17(3): 586-594. doi: 10.37188/CO.2023-0171

Rotary error modeling and assembly optimization of parallel structure shafting

doi: 10.37188/CO.2023-0171
Funds:  Supported by National Natural Science Foundation for Young Scientists of China (No. 12103081)
More Information
  • Corresponding author: ilysay@opt.ac.cn
  • Received Date: 28 Sep 2023
  • Rev Recd Date: 26 Oct 2023
  • Accepted Date: 24 Nov 2023
  • Available Online: 16 Jan 2024
  • 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.


  • loading
  • [1]
    胡一博, 孟立新, 白杨杨, 等. 空间激光通信粗跟踪等效复合控制技术[J]. 激光与光电子学进展,2023,60(9):0906004.

    HU Y B, MENG L X, BAI Y Y, et al. Coarse tracking equivalent compound control technology for space laser communication[J]. Laser & Optoelectronics Progress, 2023, 60(9): 0906004. (in Chinese).
    赵怀学, 刘波, 谢梅林, 等. 基于多视场拼接光电经纬仪的成像系统指向校正方法[J]. 光学学报,2022,42(6):0612002. doi: 10.3788/AOS202242.0612002

    ZHAO H X, LIU B, XIE M L, et al. Pointing calibration method for imaging systems of photoelectric theodolites with multi-field of view stitching[J]. Acta Optica Sinica, 2022, 42(6): 0612002. (in Chinese). doi: 10.3788/AOS202242.0612002
    朱翠汝, 孙凤萤, 徐文清, 等. 研制二维直驱跟星转台测量夜晚整层大气透过率[J]. 光学学报,2021,41(16):1601002. doi: 10.3788/AOS202141.1601002

    ZHU C R, SUN F Y, XU W Q, et al. Developed two-dimensional direct-drive star-following turntable to measure whole-layer atmospheric transmittance at night[J]. Acta Optica Sinica, 2021, 41(16): 1601002. (in Chinese). doi: 10.3788/AOS202141.1601002
    FU Q, ZHAO F, ZHU R, et al. Research on the intersection angle measurement and positioning accuracy of a photoelectric theodolite[J]. Frontiers in Physics, 2023, 10: 1121050. doi: 10.3389/fphy.2022.1121050
    PAAR R, ROIć M, MARENDIć A, et al. Technological development and application of photo and video theodolites[J]. Applied Sciences, 2021, 11(9): 3893. doi: 10.3390/app11093893
    于夫男, 徐抒岩. 应用于Φ300 mm平面反射镜的精密二维转台轴系设计[J]. 光学 精密工程,2020,28(5):1075-1082.

    YU F N, XU SH Y. Shafting design for precise two-dimensional turntable applied to Φ300 mm plane mirror[J]. Optics and Precision Engineering, 2020, 28(5): 1075-1082. (in Chinese).
    LV T, RUAN P, JIANG K, et al. Modeling and analysis of fast steering mirror disturbance effects on the line of sight jitter for precision pointing and tracking system[J]. Mechanical Systems and Signal Processing, 2023, 188: 110002. doi: 10.1016/j.ymssp.2022.110002
    WU SH CH, TAN L Y, YU S Y, et al. Analysis and correction of axis error in periscope-type optical communication terminals[J]. Optics & Laser Technology, 2013, 46: 127-133.
    ZHANG F R, RUAN P, HAN J F, et al. Analysis and correction of geometrical error-induced pointing errors of a space laser communication APT system[J]. International Journal of Optomechatronics, 2021, 15(1): 19-31. doi: 10.1080/15599612.2021.1895923
    ZHANG F R, RUAN P, HAN J F. Optical path pointing error and coaxiality analysis of APT system of space laser communication terminal[J]. Optica Applicata, 2021, 51(2): 203-222.
    李翔宇, 彭勃, 江波, 等. 基于角接触球轴承的小型经纬仪方位轴倾斜误差修正[J]. 红外与激光工程,2021,50(12):20210172. doi: 10.3788/IRLA20210172

    LI X Y, PENG B, JIANG B, et al. Tilt error correction of minitype theodolite's vertical shaft based on angular contact ball bearings[J]. Infrared and Laser Engineering, 2021, 50(12): 20210172. (in Chinese). doi: 10.3788/IRLA20210172
    江波, 周泗忠, 姜凯, 等. 车载经纬仪的垂轴误差分析[J]. 红外与激光工程,2015,44(5):1623-1627.

    JIANG B, ZHOU S ZH, JIANG K, et al. Analysis of vertical axis error of vehicular theodolite[J]. Infrared and Laser Engineering, 2015, 44(5): 1623-1627. (in Chinese).
    江波, 梅超, 梁元庆, 等. 基于平面方程旋转变化方法的车载经纬仪测角误差修正[J]. 光学学报,2015,35(S1):s112002. doi: 10.3788/AOS201535.s112002

    JIANG B, MEI CH, LIANG Y Q, et al. Angle measurement error correction of vehicle-borne theodolite based on the rotation of plane equation[J]. Acta Optica Sinica, 2015, 35(S1): s112002. (in Chinese). doi: 10.3788/AOS201535.s112002
    姜玉鑫, 孙建锋, 侯培培, 等. 基于Levenberg-Marquardt算法的旋转双棱镜指向偏差修正[J]. 中国激光,2023,50(6):0605001. doi: 10.3788/CJL220634

    JIANG Y X, SUN J F, HOU P P, et al. Correction of pointing deviation of Risley prisms based on Levenberg-Marquardt algorithm[J]. Chinese Journal of Lasers, 2023, 50(6): 0605001. (in Chinese). doi: 10.3788/CJL220634
    LAFOND P, LAPERRIERE L. Jacobian-based modeling of dispersions affecting pre-defined functional requirements of mechanical assemblies[C]. Proceedings of the 1999 IEEE International Symposium on Assembly and Task Planning, IEEE, 1999: 20-25.
    杨朝晖, 高天石, 李崇赫, 等. 基于新一代几何技术规范的装配误差建模[J/OL]. 计算机集成制造系统, 2022: 1-14. (2023-04-17) http://kns.cnki.net/kcms/detail/11.5946.TP.20221209.1431.001.html.

    YANG ZH H, GAO T SH, LI CH H, et al. Assembly error modeling based on geometrical product specifications (GPS)[J/OL]. Computer Integrated Manufacturing Systems, 2022: 1-14. (2023-04-17) http://kns.cnki.net/kcms/detail/11.5946.TP.20221209.1431.001.html. (in Chinese).
    XI Y, GAO ZH Y, CHEN K, et al. Error propagation model using Jacobian-Torsor model weighting for assembly quality analysis on complex product[J]. Mathematics, 2022, 10(19): 3534. doi: 10.3390/math10193534
    CHEN H, JIN S, LI ZH M, et al. A solution of partial parallel connections for the unified Jacobian-Torsor model[J]. Mechanism and Machine Theory, 2015, 91: 39-49. doi: 10.1016/j.mechmachtheory.2015.03.012
    戴宏玮, 陈琨, 于慧, 等. 雅可比旋量的装配体并联结构公差分析方法研究[J]. 西安交通大学学报,2022,56(5):156-165,222.

    DAI H W, CHEN K, YU H, et al. Tolerance analysis of partial parallel assemblies based on Jacobian-Torsor model[J]. Journal of Xi’an Jiaotong University, 2022, 56(5): 156-165,222. (in Chinese).
  • 加载中


    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Figures(9)  / Tables(3)

    Article views(167) PDF downloads(25) Cited by()
    Proportional views


    DownLoad:  Full-Size Img  PowerPoint