Abstract：The circle indexing angle is generally measured by selected a large interval angle when using permutation intercomparison method. In order to measure the deviation of a small angle which is in the range of the large interval angle, a piecewise interpolation measurement is proposed. Considering which have been measured by the permutation intercomparison method, the deviation of the two angle position composing the interval angle can be used as control points. In this interval angle, the small angle deviation can be observed through continuous comparison with small angle inspection tools. In conclusion, the piecewise interpolation measurement is the extension and supplement of the permutation intercomparison method.
［1］孙方金, 陈世杰. 精密轴系回转精度测试［M］. 哈尔滨: 哈尔滨工业大学出版社, 1997.
［2］JJG 462—2007多齿分度台［S］.
［3］谢长文, 范天泉, 曹学东, 等. 排列互比法用于测角时测量结果及测量误差的计算［J］. 计量学报, 1998, 19(3): 190-193.
Xie C W, Fan T Q, Cao X D, et al. Calculation of Permutation intercomparison method using in measurem-ent results and measurement errors in angle measurement［J］. Acta Metrologica Sinica, 1998, 19(3): 190-193.
［4］花国梁. 精密测量技术［M］. 北京: 中国计量出版社, 1990.
［5］Arif Sanjid M. Improved direct comparison calibration of small angle blocks ［J］. Measurement, 2013, 46(1): 646-653.
［6］孙方金, 王蕾, 孟庆生, 等. 板式空心角锥棱镜的研制［J］. 宇航计测技术, 2017, 37(4): 8-11.
Sun F J, Wang L, Meng Q S, et al. Development of hollow cube corner retro-reflector of panel structure ［J］. Journal of Astronautic Metrology and Measurement, 2017, 37(4): 8-11.
［7］林家明, 曹根瑞, 苏大图. 高精度标准小角度发生器的研制、 应用与传递-系列光学角规［J］. 光学技术, 1996, 2: 41-44.
Lin J M, Cao G R, Su D T. Researching, using and transmission of high precision standard small angle generator-a series of optical angle gauge ［J］. Optical Technology, 1996, (2):41-44.
［8］张俊杰, 王震, 李政阳, 等. CCD自准直仪示值漂移的自校准系统［J］. 计量学报, 2011, 32(2): 123-125.
Zhang J J, Wang Z, Li Z Y, et al. Self-calibration System for the Value Drifts of CCD Autocollimator ［J］. Acta Metrologica Sinica, 2011, 32(2): 123-125.
［9］孙方金. 角度计量测试技术——排列互比法［J］. 中国计量, 1997, (12): 49-51.
［10］任顺清, 赵洪波, 程源, 等. 递推最小二乘法在角位置误差检测中的应用［J］. 计测技术, 2009, 29(5): 8-11.
Ren S Q, Zhao H B, Cheng Y, et al. Application of recursive least square method to angular error checking［J］. Metrology ＆ Measurement Technology, 2009, 29(5): 8-11.
［11］陆德基, 谢长文, 范天泉, 等. 排列互比法用于超精测角时数据处理方法的研究［J］. 计量技术, 1997, (9): 27-29.
Lu D J, Xie C W, Fan T Q, et al. Investigations on data processing method of permutation intercomparision Method to superprecision angle Measuring［J］. Measurement Technique, 1997, (9): 27-29.
［12］Shi Y C. Measurement of centring error of serrated-tooth indexing table ［J］. Measurement Technology and Intelligent Instruments, 1993, 9:829-832.
2020, Vol. 41 
