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1.河南科技大学 河南省机械设计及传动系统重点实验室, 河南 洛阳 471003
2.贵阳新天光电科技有限公司, 贵州 贵阳 550018
E-mail: ly_lxq@163.com
Received:14 October 2020,
Revised:08 January 2021,
Published:15 May 2021
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王笑一,王永军,雷贤卿等.非对径安装双读数头圆光栅偏心测角误差修正[J].光学精密工程,2021,29(05):1103-1114.
WANG Xiao-yi,WANG Yong-jun,LEI Xian-qing,et al.Correction method for angle measurement error of eccentric encoder with double read-heads installed non-diametrically opposite[J].Optics and Precision Engineering,2021,29(05):1103-1114.
王笑一,王永军,雷贤卿等.非对径安装双读数头圆光栅偏心测角误差修正[J].光学精密工程,2021,29(05):1103-1114. DOI: 10.37188/OPE.20212905.1103.
WANG Xiao-yi,WANG Yong-jun,LEI Xian-qing,et al.Correction method for angle measurement error of eccentric encoder with double read-heads installed non-diametrically opposite[J].Optics and Precision Engineering,2021,29(05):1103-1114. DOI: 10.37188/OPE.20212905.1103.
圆光栅安装偏心引起的测角误差是影响圆光栅角度测量精度的关键因素,而对圆光栅安装偏心引起的测角误差进行修正是提高圆光栅测角精度的有效方法。本文分析了圆光栅安装偏心与测角误差之间的关系,建立了基于双读数头的圆光栅偏心测角误差理论模型,提出了一种基于非对径安装双读数头的圆光栅偏心测角误差修正方法。仿真及实测试验表明,在双读数头非对径安装时,新方法对读数头安装误差和圆光栅偏心误差造成的测角误差的修正效果明显优于双读数头均值法。试验中,当两读数头对径安装误差约为4°时,新方法修正后的测角误差为均值法修正后测角误差的二分之一以下,其中仿真试验中由均值法修正后测角误差为1.785″, 新方法修正后的测角误差为0.720″。
The angle measurement error caused by the eccentric installation of the circular grating is the key factor affecting the angle measurement accuracy of the circular grating. It is an effective method for correcting the angle measurement error caused by the eccentric installation of an encoder. In this paper, the relation between the eccentricity of the circular grating installation and the angle measurement error is analyzed, the development of a theoretical model of the eccentric angle measurement error of the circular grating based on a dual read head is presented, and a new method for correcting the eccentric angle measurement error of the circular grating based on a non-diametrically installed dual read head is proposed. The simulation and experimental results showed that the new method is better than the conventional mean method in correcting the angle measurement error caused by the installation error of the dual read head and by the eccentric error of the circular grating. In the test, when the installation error of the diametrical alignment of the dual read head was approximately 4°, the angular measurement error corrected by the new method was less than that corrected by the mean method. In the simulation, the corrected angular measurement error of the mean method was 1.785 inches, whereas that of the new method was 0.720 inch.
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