Study on evaluation method of uncertainty in coordinate metrology

建立了坐标测量不确定度评定的总体理论方法。特别是，通过仿真和统计实验对测量策略和被测零件形状偏差的不确定度进行了评定。(1)形状偏差的不确定度获得了指定的圆特征的自相关函数。我们使用指定的测量策略对圆特征进行了多次模拟测量。从仿真结果可以计算出测量策略中的不确定度，如测量点的数量和位置。(2)形状偏差影响的理论检验利用最小二乘法中误差矩阵的方差和协方差从理论上计算不确定度。利用三坐标测量机进行测量实验利用三坐标测量机测量了几种圆的特征。并将测量结果与模拟结果进行了比较。通过这些实验和仿真，我们证实了我们提出的方法可以应用于坐标测量。

The total theoretical methods for evaluation of uncertainty in coordinate metrology were established. Specially, the uncertainty from the strategy of measurement and the form deviation of a measured workpiece was evaluated using simulations and statistical experiments.(1)Uncertainty from the form deviationThe specified autocorrelation functions were obtained to circle features. We made several simulations to measure the circle features using the specified measuring strategies. From the results of the simulations, the uncertainties can be calculated in the strategies of measurements such as number of measuring points and positions.(2)Theoretical examinations on influences of form deviationThe uncertainties can theoretically calculated using variance and covariance of the error matrix on the least squares method. These uncertainties were compared with the results of simulations.(3)Measuring experiments using Coordinate Measuring MachineSeveral circle features were measured using CMM. The results of measurements were compared with the results of simulations. It isFrom these experiments and simulations, we confirmed our proposed methods can be applicable to coordinate metrology.