直线轴承圆度误差评定测量点数的优化

Optimization of Number of Measuring Points in the Roundness Error Evaluation of Linear Bearing

为满足直线轴承圆度误差的测量效率和测量精度的双重要求,提出了基于正态分布模型的点数优化方法。首先,用接触式三坐标测量机采集圆度数据,基于最小二乘法建立圆度误差模型;然后,采用直方图初定圆度误差模型类型,并利用SAS软件中的W检验或K-S检验定量检验圆度误差模型;最后,采用统计试验确定最优临界点数。实际应用表明:采用最优临界点数进行圆度误差评定的测量结果稳定可靠,相对人工经验点数,测量效率可提高30%以上。

In order to meet the double requirements of measuring efficiency and measuring accuracy of roundness error of linear bearing,the optimization algorithm of number of measuring points based on the normal distribution model is proposed.First,the data of roundness error are collected by using coordinate measuring machine （CMM）and the mod-el of roundness error is established based on least square method.Then,the model type is analyzed by the histogram qualitatively and confirmed by W test or K-S test in SAS quantitatively.Finally,the number of optimal critical point is determined.Actual application shows that the evaluation of roundness error is carried out by using the number of op-timal critical points,the measurement results are stable and reliable,and the efficiency is improved by more than 30%compared with that of the measuring in the number of manual experience points.