一种ABS齿圈参数检测系统误差校正方法研究

doi:10.3969/j.issn.1000-1158.2019.02.05

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摘要为了纠正ABS齿圈参数检测系统装夹机构旋转时轴承晃动等因素带来的误差,运用最小二乘法曲线拟合原理及空间三维直角坐标系仿射变换方法进行了误差校正。首先,对该方法进行理论分析,推导出系统坐标变换矩阵公式;其次,根据误差校正方法建立了数学模型,推导出变换后坐标计算公式,将测量坐标系中各参数代入变换公式,并计算出轮廓数据变换后坐标;最后,运用Matlab对模型进行了仿真实验。实验结果表明:校正后参数值与实际参数值之间偏差小于1 μm。解决了实际测量过程中各种误差带来的影响,提高了检测系统的测量精度。

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	高俊鹏
	姜涛
	张桂林

关键词 ：计量学, ABS齿圈, 平行度检测, 圆跳动检测, 误差校正, 最小二乘法, 仿射变换

Abstract：In order to correct the errors causing by swinging of bearings of ABS gear parameters measurement system, the method of least square curve fitting and affine transformation of space rectangular coordinate to correct the errors are used. Firstly, the coordinate transformation matrix is derived through analyzing the method theoretically. Secondly, the mathematical model is established according to the error correction method, the transformed coordinate formula is derived and the transformed contour data coordinates are calculated through plugging the parameters of measured coordinate system into transform formula. Finally, simulation experiment was carried out with Matlab. The experiment results show the deviation between the corrected coordinate error value and the actual error value is less than 1μm. The effect of various errors in the actual measurement process is solved, the measurement accuracy is improved.

Key words： metrology ABS gear parallelism detection circular run-out detection error correction least square method affine transformation

收稿日期: 2017-10-11 发布日期: 2019-03-07

PACS:	TB931
	U461.6

基金资助:吉林省科技支撑计划重点科技攻关项目(20130206017GX)

通讯作者: 高俊鹏 E-mail: gao_junpeng@126.com

作者简介: 高俊鹏(1988-),男,吉林通化人,长春理工大学博士研究生,主要从事机电系统控制与技术研究。Email:gao_junpeng@126.com

引用本文:

高俊鹏,姜涛,张桂林. 一种ABS齿圈参数检测系统误差校正方法研究[J]. 计量学报, 2019, 40(2): 201-207.
GAO Jun-peng,JIANG Tao,ZHANG Gui-lin. An Error Compensation Method on ABS Gear Parameters Measurement System. Acta Metrologica Sinica, 2019, 40(2): 201-207.

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