基于FCM聚类算法的数控机床热误差鲁棒性建模方法及应用

Modeling method and application of thermal error robustness of CNC machine tools based on FCM clustering algorithm

  • 摘要: 针对斜床身精密数控车床多部件热变形耦合导致的热误差模型鲁棒性缺失问题,提出了一种基于模糊C均值(fuzzy C-means, FCM)聚类算法与多元线性回归的热误差建模方法。利用FCM算法对温度测点进行了筛选,分别构建了刀塔与主轴两个关键部件的热摆角及线性热误差多元线性回归(multiple linear regression, MLR)模型,并将二者集成后最终形成机床整体热误差模型。结果表明,关键部件与整体热误差预测模型在多工况下预测精度和泛化能力良好,能够满足机床热误差补偿需求。

     

    Abstract: A thermal error modeling method based on the fuzzy C-means (FCM) clustering algorithm and multiple linear regression (MLR) is proposed to address the lack of robustness in thermal error models caused by multi-component thermal deformation coupling in inclined bed precision CNC lathes. The FCM algorithm was used to screen temperature measurement points, and multiple linear regression (MLR) models were constructed for the deflection and linear thermal error of two key components, namely the turret and the spindle. The two submodels were then integrated to form the overall thermal error model of the CNC lathe. The results indicate that the key components and overall thermal error prediction model have good prediction accuracy and generalization ability under multiple operating conditions, meeting the requirements of CNC lathe thermal error compensation.

     

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