Development and implementation of a novel split-wise model to predict the cutting forces in milling of Al2024 for minimum error

Thomas Heitz, Ning He, Muhammad Jamil, Daniel Bachrathy
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Abstract

Abstract This research study is devoted to propose a newly developed split-wise model to predict the cutting forces. The proof-of-the-study is achieved by implementing this model in milling Al2024 for the minimum error. The developed model is based on the classical shifted linear model used in the published literature. This model includes the calculation of the milling tool considering individual teeth, which leads to the determination of 6 force coefficients of different values per tooth. The experiments were conducted on milling Al2024 for two set of experiments ( V fz = 375-675 m/min, a e = 4-12 mm, a p = 0.5-1 mm, D =16 mm) and ( V fz = 220-440 m/min, a e = 0.5- 1 mm, a p = 0.5-1mm, D =2 mm). For the first set, the comparative error determined from the split-wise and classic models is 5.6% and 7.8%, respectively. For the second set, the error is 11% and 15.7%, respectively. Therefore, the use of the split-wise model is highly recommended for the prediction of the cutting force at low tool diameters. The study findings have shown the great capacity of the model to adapt to the runout, especially at low-scale milling where the spindle runout is amplified. Currently, the proposed study uses the optimal force coefficients, which were minimized via a cost function process.
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基于最小误差的Al2024铣削切削力预测模型的开发与实现
摘要本文提出了一种新开发的切割力预测模型。通过在铣削Al2024中实现该模型,获得了最小误差的研究证明。所开发的模型是基于已发表文献中使用的经典移位线性模型。该模型包括考虑单个齿的铣刀计算,从而确定每个齿的6个不同值的力系数。在Al2024上进行了两组实验(vfz = 375 ~ 675 m/min, a e = 4 ~ 12 mm, a p = 0.5 ~ 1mm, D =16 mm)和(vfz = 220 ~ 440 m/min, a e = 0.5 ~ 1mm, a p = 0.5 ~ 1mm, D =2 mm)。对于第一组,由分岔模型和经典模型确定的比较误差分别为5.6%和7.8%。第二组的误差分别为11%和15.7%。因此,在预测低刀具直径下的切削力时,强烈建议使用分划模型。研究结果表明,该模型具有很大的适应跳动的能力,特别是在小尺度铣削时,主轴跳动被放大。目前,所提出的研究使用最优力系数,并通过成本函数过程最小化。
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