新型光学检测靶标静态指向误差修正

doi:10.3969/j.issn.1000-1093.2019.05.016

摘要/Abstract

摘要： 为检验新研制的光学检测靶标空间静态指向精度是否满足±5′设计指标要求，分析了引起指向误差的各项误差源，利用齐次坐标变换法建立了检测靶标机构的指向误差模型。通过高精度Leica全站仪标定出检测靶标的方位角误差和俯仰角误差，进一步合成检测靶标指向误差。结果显示：在标定域内最大空间静态指向误差θ_max=275″、均值θ=165.9″，均方根值σ_θ=71.5″，满足设计指标但富余量较小。为进一步提升检测靶标指向精度，利用误差模型及标定出的数据样本，采用最小二乘法曲面拟合出误差模型中的各系数，并作为方位角误差与俯仰角误差修正模型。指向误差经模型修正后，检测靶标机构在标定点和特定轨道处的总指向误差均值分别为21.1″和20.9″、均方根值分别为10.6″和7.2″，表明经误差修正后，可很大程度上减小检测靶标的空间静态指向误差。

关键词: 光学检测靶标, 静态指向, 误差修正, 最小二乘法, 曲面拟合

Abstract: The error sources that cause the pointing error are briefly analyzed to check whether the spatial static pointing error of a newly developed optical testing target satisfies the design index of 5′, and a pointing error model of target mechanism is established by the homogeneous coordinate transformation method. The azimuth and elevation errors of target are calibrated using Leica total station with high precision, and the pointing error of target is further synthesized. The calibrated results reveal that the maximum spatial static pointing error, θ_max, is 275″, the mean value, θ, is 165.9″, and the square root, σ_θ, is 71.5″. In order to further improve the pointing accuracy of target, the least square method is used to fit the coefficients in the error model based on the calibrated data samples, and the calculated error models are used as the correction models of azimuth and elevation errors. When the pointing errors are corrected by using the proposed models, the average pointing error values of target mechanism at calibration points and the specific orbit are 21.1″ and 20.9″, respectively, and the root mean square are 10.6″ and 7.2″, respectively, which indicates that the static pointing error of the new target is greatly improved after error correction. Key

Key words: opticaltestingtarget, staticpointing, errorcorrection, least-squaremethod, surfacefitting

中图分类号:

张绍军，薛向尧，高云国，王光. 新型光学检测靶标静态指向误差修正[J]. 兵工学报, 2019, 40(5): 1030-1037.

ZHANG Shaojun, XUE Xiangyao, GAO Yunguo, WANG Guang. Correction of Static Pointing Error of a Novel Optical Testing Target[J]. Acta Armamentarii, 2019, 40(5): 1030-1037.

参考文献

［1］顾营迎，沈湘衡，贺庚贤，等.光电经纬仪旋转靶标特性对目标跟踪的影响［J］.光电工程，2011,38(3): 19-24.
GU Y Y, SHEN X H, HE G X, et al. The impact of target characteristics on target tracking performance of photoelecctric theodolite ［J］. Opto-Electronic Engineering, 2011, 38(3): 19-24.(in Chinese)
［2］刘满林，郝斌，曹焱，等.一种新型光电经纬仪多功能检测设备的设计与研究［J］.光学技术，2009,35(6): 815-818.
LIU M L, HAO B, CAO Y, et al. Design and research of a new type of photoelectric theodolite multi-purpose testing equipment［J］.Optical Technique, 2009,35(6):815-818. (in Chinese)
［3］李博，王伟娜，唐杰.新型光学动态靶标结构刚度有限元分析［J］.计算机工程与应用，2008, 44(14): 100-102,121.
LI B, WANG W N, TANG J. Finite element stiffness analysis of novel optical dynamic target's structure ［J］. Computer Engineering and Applications, 2008, 44(14): 100-102,121. (in Chinese)
［4］张绍军，高云国，薛向尧，等.新型光学检测靶标静态指向精度评价分析［J］.仪器仪表学报，2018, 39(4): 18-25.
ZHANG S J, GAO Y G, XUE X Y, et al. Evaluation and analysis of the static pointing accuracy of the novel optical testing target ［J］. Chinese Journal of Scientific Instrument, 2018, 39(4): 18-25. (in Chinese)
［5］张东旭，杨平，杨峰，等.基于多体系统理论的精密检测平台空间误差建模与补偿［J］.兵工学报，2014, 35(4): 501-508.
ZHANG D X, YANG P, YANG F，et al. Volumetric error modeling and compensation of precision measuring platform based on multi-system theory［J］.Acta Armamentarii, 2014, 35(4):501-508.(in Chinese)
［6］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 Z, JIANG K, et al. Analysis of vertical axis error of vehicular theodolite ［J］. Infrared and Laser Engineering, 2015, 44(5): 1623-1627.(in Chinese)

［7］李增，吴志勇，佟刚，等. 车载经纬仪的静态指向误差补偿［J］. 光学精密工程，2010, 18(4):921-927.
LI Z, WU Z Y, TONG G, et al. Pointing error correction for vehicular platform theodolite［J］.Opto-Electronic Engineering, 2010, 18(4):921-927 (in Chinese)

［8］ KHAN A W, CHEN W Y. Systematic geometric error modeling for workspace volumetric calibration of a 5-axis turbine blade grinding machine［J］.Chinese Journal of Aeronautics, 2010, 23(5): 604-615.
［9］李杰，谢福贵，刘辛军，等.五轴数控机床空间定位精度改善方法研究现状［J］.机械工程学报，2017,53(7):113-128.
LI J, XIE F G, LIU X J，et al.Analysis on the research status of volumetric positioning accuracy improvement methods for five-axis NC machine tools［J］.Journal of Mechanical Engingeering,2017,53(7):113-128.(in Chinese)

［10］卢荣胜，李万红，劳达宝，等. 激光跟踪测角误差补偿［J］. 光学精密工程，2014, 22(9): 2299-2306.
LU R S, LI W H, LAO D B, et al. Angular error compensation for laser tracker ［J］. Optics and Precision Engineering, 2014, 22(9): 2299-2306.(in Chinese)

［11］王显军. 大型望远镜测角系统误差的修正［J］. 光学精密工程，2015, 23(9): 2446-2452.
WANG X J. Correction of angle measuring errors for large telescopes ［J］. Optics and Precision Engineering, 2015, 23(9): 2446-2452 (in Chinese)

［12］杨华晖，冯伟利，刘福，等. 转台工作面角位置测量装置误差分析与补偿［J］. 仪器仪表学报，2017, 38(5): 1184-1189.
YANG H H, FENG W L, LIU F, et al. Error analysis and compensation of angular position measuring device for turntable working surface ［J］. Chinese Journal of Scientific Instrument, 2017, 38(5): 1184-1189 (in Chinese)
［13］曹艳波，艾华. 编码器轴系晃动对测角精度影响分析［J］. 光学仪器, 2016, 38(4): 297-303.
CAO Y B, AI H. Impact analysis of the spindle rotation error onto the angular measurement precision of photoelectric encoders ［J］.Optical Instruments, 2016, 38(4): 297-303 (in Chinese)
［14］胡德金.大型球面精密磨削的球度判别与误差在位补偿方法研究［J］.兵工学报，2015, 36(6): 1082-1088.
HU D J. Study of method of sphericity evaluation and error on-line compensation for large spherical precision grinding［J］. Acta Armamentarii, 2015, 36(6): 1082-1088 (in Chinese)

［15］张智永，周晓尧，范大鹏.光电探测系统指向误差分析、建模与修正［J］.航空学报，2011,32(11):2042-2054.
ZHANG Z Y, ZHOU X Y, FAN D P. Analysis, modeling and correction of pointing errors for electro-optical detection systems ［J］. Acta Aeronautica et Astronautica Sinica,2011,32(11):2042-2054. (in Chinese)
［16］苏燕芹，张景旭，陈宝刚，等.谐波分析方法在提高精密转台回转精度中的应用［J］. 红外与激光工程，2014, 43(1): 274- 278.
SU Y Q, ZHANG J X, CHEN B G, et al. Harmonic analysis application in accuracy improvement of precise turntable ［J］. Infrared and Laser Engineering, 2014, 43(1): 274-278 (in Chinese)
［17］冯栋彦，高云国，张文豹. 采用标准轴承的光电经纬仪轴系误差修正［J］. 光学精密工程，2011, 19(3): 605-610.
FENG D Y, GAO Y G, ZHANG W B. Elimination of shafting errors in photoelectrical theodolites with standard-bearings ［J］. Optics and Precision Engineering, 2011, 19(3): 605-610 (in Chinese)
［18］王福全，王珏，谢志江，等. 精密转台角分度误差补偿［J］. 光学精密工程，2017, 25(8): 2165-2173.
WANG F Q, WANG J, XIE Z J, et al. Compensation of angular indexing error for precision turntable ［J］. Optics and Precision Engineering, 2017, 25(8): 2165-2173 (in Chinese)

第40卷第5期
2019 年5月兵工学报ACTA
ARMAMENTARIIVol.40No.5May2019

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