Study on Verification and Compensation of Indexing Errors for Turntable

Abstract

Abstract:

A multi-tooth indexing table with 0.3″ precision and plane mirror were selected as the angular standard, to check the indexing errors of turntable. With regard to the impact of the installation tilt of multi-tooth indexing table on the test results, a compensation method was proposed. According to the characteristics that the indexing errors of turntable were superimposed by the multiple harmonic waves, the harmonic analysis method was used to fit the measured data. The fitting curve was applied to compensate index errors. After testing and compensating, the indexing precision of the turntable is improved from 17.82″ to 2″, which verifies the validity and feasibility of measurement methods and the compensation model.

Key words: check of indexing error, adjustment error, harmonic analysis, error compensation

摘要：

采用0.3″的精密多齿分度台与平面反射镜组合,对转台分度误差进行检测。针对多齿分度台安装倾斜对检测结果产生影响的问题,提出了利用双轴光电自准直仪Y轴读数补偿调整误差的方法。根据转台分度误差是由多次谐波叠加的特点,采用谐波分析的方法对测量得到的离散数据进行拟合处理,得到用于转台分度误差补偿的连续曲线模型。对分度误差为17.82″的转台进行实测和误差补偿,补偿后转台的最大分度误差为2″。

关键词: 分度误差检测, 调整误差, 谐波分析, 误差补偿

CLC Number:

TB922

Guo Jingbin, Cao Hongyan, Wang Kexin, Qi Yongyue. Study on Verification and Compensation of Indexing Errors for Turntable[J]. China Mechanical Engineering, 2014, 25(7): 895-899.

郭敬滨, 曹红艳, 王克新, 齐永岳. 转台分度误差检测及补偿技术的研究[J]. 中国机械工程, 2014, 25(7): 895-899.

References

[1]《角度计量》编写组.角度计量[M].北京:中国标准出版社,1984.
[2]凌四营,王立鼎,马勇,等.全组合测量法在多齿盘基准面测量中的应用[J].中国机械工程,2009,20(18):2149-2151.
Ling Siying, Wang Liding, Ma Yong, et al. Application on Whole Combination Measuring Method in the Datum Measurement of End-tooth Plate[J]. China Mechanical Engineering, 2009, 20(18): 2149-2151.
[3]Akira T. Present State of Precision Angle Measurement Technique in Japan[J]. Bulletin of the Japan Society of Precision Engineering, 1981, 15(1):1-6.
[4]范天泉,谢长文,陆德基,等.排列互比法用于超精测角时产系统误差的研究[J].精密工程,1997,5（2）:98-103.
Fan Tianquan, Xie Changwen, Lu Deji, et al. Investigations on the Application of Permutation Intercomparision Method to Superprecision Angle-measuring[J]. Opto-electronic Engineering, 1997, 5(2): 98-103.
[5]杨永才,陈林,孙银春,等.圆光栅刻划误差的自动校正[J].华东工业大学学报,1996,18(3):85-90．
Yang Yongcai, Chen Lin, Sun Yinchun, et al. Automatic Correction for Dividing Errors of Radial Grating[J]. East China University of Technology, 1996,18(3):85-90．
[6]赵建科,张周峰.轴角编码器测量中偏心带来的误差分析[J].光子学报,2007,36(S):249-252.
Zhao Jianke, Zhang Zhoufeng. Error Analysis for Measurement of Encoder with Shaft Eeeentricity[J]. Acta Photonica Sinica, 2007, 36(S): 249-252.
[7]黄宗升,秦石乔,王省书,等.光栅角编码器误差分析及用激光陀螺标校的研究[J].仪器仪表学报,2007,28(10):1866-1869.
Huang Zongsheng, Qin Shiqiao, Wang Xingshu, et al. Error Analysis of Optical Angular Encoder and Its Calibration with Ring Laser Gyro[J]. Chinese Journal of Scientific Instrument, 2007, 28(10): 1866-1869.
[8]Qin Shiqiao, Huang Zongsheng, Wang Xingshu. Optical Angular Encoder Installation Error Measurement and Calibration by Ring Laser Gyroscope[J]. Instrumentation and Measurement, 2010, 59(3): 506-511.
[9]Kaul S K, Tickoo A K, Koul R, et al. Improving the Accuracy of Low-cost Resolver-based Encoders Using Harmonic Analysis[J]. Nuclear Instruments and Methodsin Physics Research, 2008, 586(2): 345-355.
[10]曹向群,楼永坚.圆刻机分度误差和测点数关系的研究[J].光学仪器,1994,16(1):21-25.
Cao Xiangqun, Lou Yongjian. Study of the Relationship between the Number of Test Points and the Error in Circle Dividing[J]. Optical Instrument, 1994, 16(1): 21-25.
[11]Patorski K, Yokozeki S, Suzuki T. Moiré Profile Pradiction by Using Fourier Series Formalism[J]. Japanese Journal of Applied Physics, 1976,15(3):443-456.
[12]Filali M.Harmonic Analysis and Applications[J].Kybernetes,2012,41(1/2):129-144.
[13]Hatiris E, Orton P A, Poliakoff J F, et al. Eccentricity Error Compensation Models for an Incremental Motion Encoder[C]//Proc. of the 16th European Simulation Multiconference. Darmstadt,2002:328-331.
[14]张礼松,管炳良.关节坐标测量机研制中圆光栅误差修正技术[J].计测技术,2007,27(4):41-43.
Zhang Lisong, Guan Bingliang. Error Correction and its Application to Multi-joint CMM Research[J].Measuring Technique, 2007, 27(4): 41-43.

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