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 |
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.
[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).
|
[2] |
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
|
[3] |
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
|
[4] |
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
|
[5] |
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
|
[6] |
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).
|
[7] |
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
|
[8] |
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.
|
[9] |
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
|
[10] |
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.
|
[11] |
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
|
[12] |
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).
|
[13] |
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
|
[14] |
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
|
[15] |
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.
|
[16] |
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).
|
[17] |
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
|
[18] |
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
|
[19] |
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).
|
[1] | LI Yang, JING Xu, QIN Lai-an, CHENG Yi-lun, WANG Gang-yu, HOU Zai-hong. Research progress on the effects of atmospheric refraction and correction techniques[J]. Chinese Optics, 2025, 18(1): 1-16. doi: 10.37188/CO.2024-0101 |
[2] | 浩珍 黄, 斌 牛, 深 程, 兴华 曲, 福民 张. 彩色投影仪光强自适应高动态三维测量方法[J]. Chinese Optics. doi: 10.37188/CO.EN.2024-0038 |
[3] | 空间引力波探测航天器光学测距噪声链路指标优化[J]. Chinese Optics. doi: 10.37188/CO.2024-0185 |
[4] | HUANG Hui-ming, LIU Gui-hua, DENG Lei, SONG Tao, QIN Fu-ping. Multi-line laser 3D reconstruction based on geometric estimation optimization[J]. Chinese Optics, 2025, 18(2): 274-286. doi: 10.37188/CO.2024-0184 |
[5] | WU Rong, LU Yang, OUYANG Ai-guo. A denoising method combining bitonic filtering and sine-cosine transform for shearography fringe pattern[J]. Chinese Optics, 2024, 17(2): 435-443. doi: 10.37188/CO.2023-0072 |
[6] | LIU Qiang, LI Wen-jing, MA Chao, WEI Shu-hui, FU Tian-shu, YU Bo, LIU Chao. Design of two-dimensional low-frequency fiber Bragg grating vibration sensor[J]. Chinese Optics, 2024, 17(6): 1450-1457. doi: 10.37188/CO.2024-0069 |
[7] | WU Rong, ZHANG Hao-chen, YANG Jian-ye. Design of all-optical logic gate based on two-dimensional photonic crystal[J]. Chinese Optics, 2024, 17(1): 245-251. doi: 10.37188/CO.EN-2023-0014 |
[8] | WU Rong, YANG Jian-ye, ZHANG Hao-chen. All-optical logic gate based on nonlinear effects of two-dimensional photonic crystals[J]. Chinese Optics, 2024, 17(2): 456-467. doi: 10.37188/CO.EN-2023-0021 |
[9] | WEI Yu-xuan, WANG Zhen-yu, LI Zhi-guo, HUANG Le-hong, YANG Kai, MA Yu-bao. Lightweight and optimized U-frame design for space-borne two-dimensional turntable[J]. Chinese Optics, 2024, 17(4): 896-908. doi: 10.37188/CO.2023-0227 |
[10] | CHEN Hao-bo, ZHANG Li-wei, SUN Wen-qing, CHEN Bao-hua, CAO Zhao-liang, WU Quan-ying. White light interferometry micro measurement algorithm based on principal component analysis[J]. Chinese Optics, 2023, 16(3): 637-644. doi: 10.37188/CO.2022-0172 |
[11] | ZHAO Xiao-dong, WANG Jing. Analysis of the mirror deformation of one-meter theodolite protective window[J]. Chinese Optics, 2018, 11(4): 654-661. doi: 10.3788/CO.20181104.0654 |
[12] | ZHAO Tian-jiao, QIAO Yan-feng, SUN Ning, XIE Jun. Surface deformation of theodolite primary mirror under the support system[J]. Chinese Optics, 2017, 10(4): 477-483. doi: 10.3788/CO.20171004.0477 |
[13] | CHEN Bao-gang, MING Ming, LYU Tian-yu. Precise measurement of curvature radius for spherical mirror with large aperture[J]. Chinese Optics, 2014, 7(1): 163-168. doi: 10.3788/CO.20140701.0163 |
[14] | HE Xiao-jun, QU Hong-song, ZHANG Gui-xiang, WANG Jin-ling. Impact of scan mirror stability on TDI CCD system measure accuracy[J]. Chinese Optics, 2014, 7(4): 665-671. doi: 10.3788/CO.20140704.0665 |
[15] | FENG Xiao-yong, ZHAO Zhong-hua, LIU Xin-ming. Video image processing of real-time star detection in daylight[J]. Chinese Optics, 2011, 4(6): 622-628. |
[16] | LI Miao, GAO Hui-bin. Correction method of heading calibration for calibration theodolite[J]. Chinese Optics, 2011, 4(6): 583-587. |
[17] | WANG Tao, SONG Li-wei. Detection method for horizontal axis tilts[J]. Chinese Optics, 2010, 3(5): 509-512. |
[18] | ZHANG Hai-Tao. Modeling for phase shifting point diffraction interferometer based on lens design software[J]. Chinese Optics, 2010, 3(6): 616-622. |
[19] | MA Qing-kun, QIAO Yan-feng. Offshore star calibration of electro-optical shipborne theodolite[J]. Chinese Optics, 2010, 3(6): 653-658. |
[20] | WANG Zong-you, FU Cheng-yu, WANG Fang. Improvement of measuring precision for electro-optical theodolite based on data matching[J]. Chinese Optics, 2010, 3(6): 586-590. |