摘要
主流的齿轮测量设备大都通过参考球进行探头位置校准,相较于参考球,芯棒不仅安装与操作方便,同时还可以检测机床的静态精度。因此对开发的新型齿轮磨床进行齿轮在线测量时,采用芯棒进行探头校准来实现齿轮测量。为了提高探头定位精度,初步利用最小二乘法(least square method,LSM)拟合芯棒中心来进行探头定位,并在此基础上使用基于AitkenΔ^(2)迭代的算法来补偿LSM的定位误差,进而实现探头位置校准。该方法将非线性拟合迭代过程用线性收敛的数值序列代替,不仅具有较快的收敛速度,同时数值趋于稳定。通过齿廓偏差评估实验证明了该方法的有效性,可对其他齿轮测量时的探头位置校准提供参考。
The geometric position of probe is calibrated by a reference sphere on most of mainstream gear measuring instruments.Compared to the reference sphere,the reference mandrel is not only easy to be installed and operated,but also it can detect the static accuracy of the machine tool.So the probe calibration is conducted by the reference mandrel in the process of gear on-machine measurement on a new developed gear grinding.To improve the calibration accuracy of probe position,the calibration of probe geometric position is defined by the least squares method(LSM),which can fit the center of reference mandrel.Simultaneously,the algorithm based on AitkenΔ^(2) iteration,which is used on the basis of LSM,is built to compensate the error of position produced by LSM.This method replaces the nonlinear fitting iterative process with linear convergent numerical sequence,which not only has a faster convergence rate,but also tends to be stable.The effectiveness of this method can be validated through the experiment of tooth profile evaluation,and it can provide guidance for the geometric position calibration of other gear measurement.
作者
汪发
汪中厚
陈铭治
杨勇明
吴云龙
宋美琪
WANG Fa;WANG Zhonghou;CHEN Mingzhi;YANG Yongming;WU Yunlong;SONG Meiqi(College of Mechanical Engineering,University of Shanghai for Science and Technology,Shanghai 200093,China)
出处
《计量学报》
CSCD
北大核心
2024年第9期1291-1299,共9页
Acta Metrologica Sinica
基金
国家自然科学基金(52371331,51875360)
上海市科学技术委员会(19060502300)。
关键词
几何量计量
芯棒
探头位置校准
齿廓偏差评估
在线测量
geometric measurement
mandrel
calibration of probe position
profile deviation evaluation
on-machine measurement
