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1. 中国科学院 光电研究院 北京,100094
2. 合肥工业大学 仪器科学与光电工程学院,安徽 合肥,230009
收稿日期:2013-11-22,
修回日期:2014-01-13,
纸质出版日期:2014-09-25
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卢荣胜, 李万红, 劳达宝等. 激光跟踪仪测角误差补偿[J]. 光学精密工程, 2014,22(9): 2299-2305
LU Rong-sheng, LI Wan-hong, LAO Da-bao etc. Angular error compensation for laser tracker[J]. Editorial Office of Optics and Precision Engineering, 2014,22(9): 2299-2305
卢荣胜, 李万红, 劳达宝等. 激光跟踪仪测角误差补偿[J]. 光学精密工程, 2014,22(9): 2299-2305 DOI: 10.3788/OPE.20142209.2299.
LU Rong-sheng, LI Wan-hong, LAO Da-bao etc. Angular error compensation for laser tracker[J]. Editorial Office of Optics and Precision Engineering, 2014,22(9): 2299-2305 DOI: 10.3788/OPE.20142209.2299.
由于激光跟踪仪的角度测量精度直接影响仪器的测量精度,本文提出了用自准直仪结合多面棱体对跟踪仪金属圆光栅测角误差进行离散标定的方法。研究了基于谐波分析的误差补偿方法,取金属柱面圆光栅测角误差中幅值较大且相位基本不变的谐波分量建立了补偿模型,避免了最小二乘法不收敛的问题。分析了标定测角误差的不确定度,结果显示:水平测角精度补偿前后分别为1.60"和0.90",俯仰测角精度补偿前后分别为4.89"和0.91",精度分别提高了44%和81%,从角秒级提高到了亚角秒级。结果表明,提出的方法可为激光跟踪仪水平和俯仰轴系提供测角误差补偿,对类似测角系统的误差补偿也有参考价值。
As the angle measurement accuracy for a laser tracker affects the instrument measurement accuracy directly
a discrete calibration method for the angle measurement errors of a metal circular grating in the laser tracker was proposed based on an autocollimator combined with a multi-mirror polyhedron. The error compensation method based on harmonic analysis was studied. Then
a compensation model was built up on the basis of the harmonic wave components whose amplitudes are large and phases remain essentially constant
by which the no convergence from least square method was overcome. Futhermore
the calibration uncertainty of angle measurement errors was analyzed. The analysis results show that the horizontal angle measurement accuracy is reduced from 1.60" to 0.90"
and the vertical angle from 4.89" to 0.91" after compensation. The accuracy is improved by 44% and 81% respectively
and has been from an arc second scale to a sub-arc second scale. The results indicate that the proposed method effectively compensates angle measurement errors for harmonic and vertical axis systems of the laser tracker
and also provides a reference for other error compensation of angle measuring systems.
林嘉睿,邾继贵,张皓琳,等. 激光跟踪仪测角误差的现场评价[J]. 仪器仪表学报,2012,33(2):463-468. LIN J R, ZHU J G, ZHANG H L,et al.. Field evaluation of laser tracker angle measurement error[J]. Chinese Journal of Scientific Instrument, 2012, 33(2): 463-468. (in Chinese)
丁蕾,周维虎,王亚伟. 样条函数在激光跟踪仪测距补偿中的应用[J]. 光电工程,2012,39(3):78-82. DING L, ZHOU W H, WANG Y W. S-pline function for distance error compensation of laser tracker[J]. Opto-Electronic Engineering, 2012, 39(3): 78-82.(in Chinese)
赵人杰,马文礼. 利用误差谐波补偿法提高金属圆光栅测角精度[J]. 仪器仪表用户,2009,116(3):69-71. ZHAO R J, MA W L. Improving the accuracy of new-type encoders using error harmonic compensation[J]. Electronic Instrumentation Customer, 2009, 116(3): 69-71. (in Chinese)
CHEN X J, WANG ZH H, ZENG Q SH.Angle measurement error and compensation for decentration rotation of circular gratings[J]. Journal of Harbin Institute of Technology (New Series), 2010, 17(4): 536-539.
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WATANABE T, FUJIMOTO H, MASUDA T. Self-calibratable rotary encoder[J].Journal of Physics: Conference Series, 2005(13): 204-245.
洪喜,续志军,杨宁. 基于径向基函数网络的光电编码器误差补偿法[J]. 光学 精密工程,2008,16(4):598-604. HONG X, XU ZH J, YANG N. Error compensation of optical encode based on RBF network[J]. Opt.Precision Eng., 2008, 16(4): 598-604. (in Chinese)
于连栋,丁洋,程文涛. 平行双关节坐标测量机圆光栅测角误差补偿技术[J]. 南京理工大学学报:自然科学版,2009,33(5):659-662. YU L D, DING Y, CHENG W T.Compensation of angle measurement error of circular gratings for parallel dual-joint coordinate measuring machine[J]. Journal of Nanjing University of Science and Technology:Natural Science, 2009, 33(5): 659-662. (in Chinese)
高贯斌,王文,林铿,等. 圆光栅角度传感器的误差补偿及参数辨识[J]. 光学 精密工程,2010,18(8):1766-1762. GAO G B, WANG W, LIN K, et al.. Error compensation and parameter indentification of circular grating angle sensors[J]. Opt.Precision Eng., 2010, 18(8): 1766-1762. (in Chinese)
任顺清,马广程,伊国兴,等. 测量角位置误差时自准直仪读数与正多面棱体偏差的符号取定[J]. 计量技术,2003,15(12):42-45. REN SH Q, MA G CH, YI G X. et al.. Calculation the sign of autocollimator readings and the deviation of regular polyhedron measuring angular position error[J]. Measurement Technique,2003, 15(12): 42-45. (in Chinese)
孙方金. 自准直仪与反光面准直时的注意事项[J]. 计量技术,1999(10):33-36. SUN F J. Points for attention in collimating of autocollimator and reflector[J]. Measurement Technique, 1999(10): 33-36. (in Chinese)
艾晨光,褚明,孙汉旭,等. 基准圆光栅偏心检测及测角误差补偿[J]. 光学 精密工程,2012,20(11):2479-2484. AI CH G, CHU M, SUN H X, et al.. Eccentric testing of benchmark circular grating and compensation of angular error[J]. Opt.Precision Eng., 2012, 20(11): 2479-2484. (in Chinese)
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