A unified ternary-mechanism model for the calibration of cutting force coefficients and prediction of ploughing-based process damping in flank milling process

IF 2.9 3区 工程技术 Q2 AUTOMATION & CONTROL SYSTEMS International Journal of Advanced Manufacturing Technology Pub Date : 2024-03-21 DOI:10.1007/s00170-024-13307-2
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Abstract

Exciting ternary-mechanism model considers the effects of flank shearing, flank ploughing and bottom ploughing and suits for the calibration of cutting force coefficients with a relatively lower axial depth of cuts in which the cutting force proportion of bottom edge gradually increases. Since the vibration velocities are not formulated in the empirical rubbing formulae, the process damping effect in chatter stability can not be modelled. In order to simultaneously guarantee the calibration accuracy of the cutting force coefficients and solve the chatter stability with process damping, a unified ternary-mechanism model is established in this article. First, the ploughing forces corresponding to the flank edge and bottom edge are formulated as the function of the indented area and the corresponding proportion factors based on Hertz contact theory. And the static and dynamic ternary cutting forces are explicitly formulated. Second, with the aid of the static equilibrium equation together with the expression of small disturbance, the dynamic model including ploughing-based process damping is established. Third, a fast procedure to calibrate the real-time cutting force coefficients is also derived based on the inverse process of static cutting force modelling. A series of test platforms are built to verify the correctness of the calibration method and the ploughing-based process damping model. Good consistency between the predicted and experimental results in both static cutting forces and dynamic chatter tests proves that above models have better accuracy.

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用于校准切削力系数和预测侧面铣削过程中基于犁的加工阻尼的统一三元机制模型
摘要 激励三元机理模型考虑了侧刃剪切、侧犁和底犁的影响,适用于校准底刃切削力比例逐渐增大的相对较低轴向切削深度的切削力系数。由于在经验摩擦公式中没有规定振动速度,因此无法模拟颤振稳定性中的过程阻尼效应。为了同时保证切削力系数的标定精度和解决带有过程阻尼的颤振稳定性问题,本文建立了统一的三元机制模型。首先,根据赫兹接触理论,将侧刃和底刃对应的犁削力分别表述为压痕面积和相应比例系数的函数。并明确了静态和动态三元切削力。其次,借助静态平衡方程和小扰动表达式,建立了包括基于犁耕过程阻尼的动态模型。第三,基于静态切削力建模的逆过程,得出了校准实时切削力系数的快速程序。为了验证校准方法和基于犁耕的过程阻尼模型的正确性,建立了一系列测试平台。静态切削力和动态颤振测试的预测结果与实验结果之间的良好一致性证明了上述模型具有更好的准确性。
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来源期刊
CiteScore
5.70
自引率
17.60%
发文量
2008
审稿时长
62 days
期刊介绍: The International Journal of Advanced Manufacturing Technology bridges the gap between pure research journals and the more practical publications on advanced manufacturing and systems. It therefore provides an outstanding forum for papers covering applications-based research topics relevant to manufacturing processes, machines and process integration.
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