首页|两组总体马氏距离法在车床加工精度判别中应用

两组总体马氏距离法在车床加工精度判别中应用

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A、B两个机械加工企业因合作需要,对现有闲置卧式车床进行精度等级评估。从评估所得数据中抽取 16个样本数据,将其分成 3类,第 1、2类作为评判标准类,第 3类作为待判样品类;利用线性判别分析法(linear discriminant analysis,LDA)中的两组总体马氏距离测量法对数据进行均值向量和协方差矩阵计算,建立数据的线性判别函数方程;为保证正确性,对两类评判标准类数据进行显著性差异检验,同时利用回代法将数据代入线性判别函数方程,将 3组数据量化归类。结果表明:两组评判标准类数据显著性差异明显且回代率为 100%,可以作为待判数据的评判标准;待判类数据符合加工精度实际情况,归类合理。
Application of two sets of overall Mahalanobis distance method in determining the machining accuracy of lathes
This article focuses on the precision level evaluation of existing idle horizontal lathes for two machining enterprises A and B due to cooperation needs.16 sample data were extracted from the evaluation data and divided into three categories:the first and second categories were used as evaluation criteria,and the third category was used as the sample category to be judged.Two sets of total Mahalanobis distance measurement methods in discriminant analysis were used to calculate the mean vector and covariance matrix of the data and establish a linear discriminant function equation for the data.To ensure accuracy,significant difference tests were conducted on the two types of evaluation criteria data,and the data were substituted into the linear discriminant function equation using the backpropagation method to quantify and classify the three sets of data.The results showed that there was a significant difference in the significance of the two sets of evaluation criteria,with a substitution rate of 100%,which can be used as the evaluation criteria for the pending data.The pending data conform to the actual processing accuracy and is classified reasonably.

Mahalanobis distancediscriminant analysissample dataadvanced machine toolsgeneral machine toolsmachining accuracy

李双成、李耀贵

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广东理工学院 基础课教学研究部,广东 肇庆 526100

马氏距离 判别分析 抽样数据 先进机床 一般机床 加工精度

2025

广西科技大学学报
广西科技大学

广西科技大学学报

影响因子:0.519
ISSN:1004-6410
年,卷(期):2025.36(1)