Force coefficient characterization in machining of UD-CFRP using numerical-analytical approach

Jianzhang Xiao, Ning Gao, Guifeng Wang, Pengcheng Huang, Jiabo He
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Abstract

A numerical-analytical approach was utilized to construct a predictive model of cutting force for machining unidirectional carbon fiber reinforced polymer (UD-CFRP) laminates. The force coefficients in the model, which include friction angle, shear plane angle, shear strength, and rebound height, can be characterized by the fiber orientations ranging from 0° to 180°. The accuracy of the model was confirmed through experimental verification. The results indicate good agreement between the predicted and experimental values, with relative errors below 14.8%, except for the thrust force at 90°. Additionally, the study examined the influence of rake angle and flank angle on the cutting force, revealing two critical points in the predicted cutting force curve throughout the fiber orientation. These turning points shifted with changes in the rake angle. For instance, the value of the first critical point changes from 60° to 45° when the rake angle range shifts from [0°, 5°] to [10°, 15°]. This indicates that a larger rake angle facilitated an earlier transformation of chip formation mode, leading to a decrease in cutting force. Furthermore, the cutting force decreased as the rake angle increased between the two turning points. The impact of the flank angle on the cutting force was determined to be minimal, and the turning points’ positions remained consistent as the flank angle increased.
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利用数值分析方法确定 UD-CFRP 加工过程中的力系数特征
利用数值分析方法构建了加工单向碳纤维增强聚合物(UD-CFRP)层压板的切削力预测模型。模型中的力系数包括摩擦角、剪切面角、剪切强度和回弹高度,可根据 0° 至 180° 的纤维取向来确定。实验验证证实了该模型的准确性。结果表明,除 90° 时的推力外,预测值与实验值之间的一致性良好,相对误差低于 14.8%。此外,研究还考察了前角和侧角对切削力的影响,发现在整个纤维取向的切削力预测曲线中有两个临界点。这些转折点随着前角的变化而移动。例如,当前角范围从 [0°, 5°] 变为 [10°, 15°] 时,第一个临界点的值从 60° 变为 45°。这表明,前倾角越大,切屑形成模式的转变越早,从而导致切削力下降。此外,在两个车削点之间,切削力随着前角的增大而减小。侧面角对切削力的影响微乎其微,随着侧面角的增大,车削点的位置保持一致。
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