Prediction of machine tool's static translational volumetric error caused by compliance from feed motor torque

Tianliang Zhuang , J.R.R. Mayer
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Abstract

Machine tool volumetric compliance quantifies the deflection of the tool tip relative to the workpiece under the effect of a mutual force. Its knowledge can help to virtually monitor tool path errors. This study, conducted under static conditions, aims to establish a model for directly predicting static translational volumetric errors caused by compliance from machine tool CNC feed motor torque outputs without the need to calculate the tool tip disturbance force. Static translational volumetric compliance was measured as proposed in ISO 230-1 in the X, Y and Z directions. The friction torques in each direction were modelled as a function of volumetric errors using Dahl's theory with some adjustments. The friction torque variations were detected. The final model links feed motor torques directly to static translational volumetric errors. With the help of an exponential term, the model proposed has a better performance on capturing the friction variations at the motion starting and movement reversal points. The static translational volumetric compliance models had R2adj values of 0.999, 0.997, and 0.997 in the X, Y and Z directions, respectively. The RMSE with the best starting estimates on the testing dataset for predicting the static translational volumetric errors directly from the feed motor torques along the X-, Y- and Z-axis were 4.9 μm, 6.6 μm and 2.8 μm under maximum absolute volumetric errors values of 200 μm, 200 μm, and 50 μm, respectively.

根据进给电机扭矩预测机床因顺应性而产生的静态平移体积误差
机床的体积顺应性量化了刀具尖端在相互力作用下相对于工件的偏差。对它的了解有助于虚拟监控刀具路径误差。本研究在静态条件下进行,旨在建立一个模型,直接预测由机床数控进给电机扭矩输出的顺应性引起的静态平移体积误差,而无需计算刀尖干扰力。按照 ISO 230-1 中的建议,对 X、Y 和 Z 方向的静态平移体积顺应性进行了测量。每个方向上的摩擦力矩都是使用 Dahl 理论并经过一些调整后作为体积误差的函数进行建模的。对摩擦扭矩的变化进行了检测。最终模型将进给电机扭矩与静态平移体积误差直接联系起来。在指数项的帮助下,所提出的模型在捕捉运动起始点和运动反转点的摩擦力变化方面有更好的表现。静态平移体积顺应性模型在 X、Y 和 Z 方向的 R2adj 值分别为 0.999、0.997 和 0.997。在最大绝对体积误差值为 200 μm、200 μm 和 50 μm 的情况下,在测试数据集上直接根据进给电机扭矩沿 X、Y 和 Z 轴预测静态平移体积误差的最佳起始估计值的均方根误差分别为 4.9 μm、6.6 μm 和 2.8 μm。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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CiteScore
3.80
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