刀具偏心跳动下侧铣硬脆材料的瞬时铣削力模型

doi:10.7527/S1000-6893.2023.28925

Abstract

Abstract:

Taking side milling machinable microcrystalline ceramics as object， an instantaneous overall milling force model was built. The instantaneous milling force of end milling cutter side edge milling was studied under the condition of tool eccentricity and runout. The instantaneous cutting thickness and area were obtained through the hypocycloidal motion between the milling tool and the workpiece. The optimal solution for tool eccentricity and eccentricity angle was determined through linear search method. The precise solution of the instantaneous milling force action point was obtained using a one-dimensional search algorithm and expressed as the instantaneous rotation angle under the condition of tool eccentricity and jumping. A new instantaneous milling force model was established based on the Martellotti model. The instantaneous milling force model coefficients were identified using the least squares method. And from the perspective of the milling force action point （instantaneous rotation angle）， the variation characteristics of instantaneous milling force were studied. The validation results of milling experiments indicate that the predicted values of the milling force model are in good agreement with the experimental values， with an average relative error not exceeding 8%. Therefore， the instantaneous milling force model demonstrates high prediction accuracy.

Key words: tool eccentricity and runout, instantaneous milling force model, instantaneous cutting area, action point of milling force, hard and brittle materials

CLC Number:

TH16

Lianjie MA, Wenhao DU, Zhen ZHAO, Zhe QIU. Instantaneous milling force model of side milling hard and brittle materials in the state of tool eccentricity and runout[J]. Acta Aeronautica et Astronautica Sinica, 2024, 45(4): 428925-428925.

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References 21

1	MA L， GONG Y， CHEN X. Study on surface roughness model and surface forming mechanism of ceramics in quick point grinding［J］. International Journal of Machine Tools and Manufacture， 2014， 77： 82-92.
2	万敏，杜宇轩，张卫红，等. 单向CFRP螺旋铣削力建模［J］. 航空学报， 2021， 42（10）： 524134.
	WAN M， DU Y X， ZHANG W H， et al. Cutting force modeling in helical milling process of unidirectional CFRP［J］. Acta Aeronautica et Astronautica Sinica， 2021， 42（10）： 524134 （in Chinese）.
3	SUN Y， JIN L， GONG Y， et al. Experimental evaluation of surface generation and force time-varying characteristics of curvilinear grooved micro end mills fabricated by EDM［J］. Journal of Manufacturing Processes， 2022， 73（1）： 799-814.
4	马廉洁，李红双. 脆性材料机械加工表面粗糙度模型的研究进展［J］. 中国机械工程， 2022， 33（7）： 757-768.
	MA L J， LI H S. Research progress on surface roughness model of brittle materials［J］. China Mechanical Engineering， 2022， 33（7）： 757-768 （in Chinese）.
5	RIVIÈRE-LORPHÈVRE E， FILIPPI E. Mechanistic cutting force model parameters evaluation in milling taking cutter radial runout into account［J］. The International Journal of Advanced Manufacturing Technology， 2009， 45（1-2）： 8-15.
6	KLINE W A， DEVOR R E. The effect of runout on cutting geometry and forces in end milling［J］. International Journal of Machine Tool Design and Research， 1983， 23（2-3）： 123-140.
7	SPIEWAK S A. Analytical modeling of cutting point trajectories in milling［J］. Journal of Engineering for Industry， 1994， 116（4）： 440-448.
8	BAO W Y， TANSEL I N. Modeling micro-end-milling operations. Part I： analytical cutting force model［J］. International Journal of Machine Tools and Manufacture， 2000， 40（15）： 2155-2173.
9	BAO W Y， TANSEL I N. Modeling micro-end-milling operations. Part II： tool run-out［J］. International Journal of Machine Tools and Manufacture， 2000， 40（15）： 2175-2192.
10	ZHENG F， HAN X， LIN H， et al. Research on the cutting dynamics for face-milling of spiral bevel gears［J］. Mechanical Systems and Signal Processing， 2021， 153： 107488.
11	SUTHERLAND J W， DEVOR R E. An improved method for cutting force and surface error prediction in flexible end milling systems［J］. Journal of Engineering for Industry， 1986， 108（4）： 269-279.
12	WAN M， ZHANG W， QIN G， et al. Efficient calibration of instantaneous cutting force coefficients and runout parameters for general end mills［J］. International Journal of Machine Tools and Manufacture， 2007， 47（11）： 1767-1776.
13	ZHANG Z， LIANG Z， LUO M， et al. A general method for calibration of milling force coefficients and cutter runout parameters simultaneously for helical end milling［J］. The International Journal of Advanced Manufacturing Technology， 2021， 116（9-10）： 2989-2997.
14	WANG C， DING P， HUANG X， et al. A method for predicting ball-end cutter milling force and its probabilistic characteristics［J］. Mechanics Based Design of Structures and Machines， 2021， 7： 1-18.
15	ZHANG X， YU T， WANG W. Cutting forces modeling for micro flat end milling by considering tool run-out and bottom edge cutting effect［J］. Proceedings of the Institution of Mechanical Engineers， Part B： Journal of Engineering Manufacture， 2019， 233（2）： 470-485.
16	刘涛，张丽芳. 基于改进粒子群优化算法的变截面涡旋盘瞬时铣削力模型参数求解［J］. 中国机械工程， 2020， 31（24）： 2943-2949.
	LIU T， ZHANG L F. Parameter solution of instantaneous milling force model of variable cross-section scroll plates based on improved PSO algorithm［J］. China Mechanical Engineering， 2020， 31（24）： 2943-2949 （in Chinese）.
17	MARTELLOTTI M E. An Analysis of the Milling Process［J］. Journal of Fluids Engineering， 1941， 63（8）： 677-695.
18	DING H， ZOU B， YANG J， et al. Instantaneous milling force prediction and valuation of end milling based on friction angle in orthogonal cutting［J］. The International Journal of Advanced Manufacturing Technology， 2021， 116（3-4）： 1341-1355.
19	成群林，柯映林，董辉跃. 航空铝合金铣削加工中切削力的数值模拟研究［J］. 航空学报， 2006， 27（4）： 724-727.
	CHENG Q L， KE Y L， DONG H Y. Numerical simulation study on milling force for aerospace aluminum Alloy［J］. Acta Aeronautica et Astronautica Sinica， 2006， 27（4）： 724-727 （in Chinese）.
20	BIAN R， FERRARIS E， QIAN J， et al. Micro-milling of fully sintered ZrO₂ceramics with diamond coated end mills［J］. Key Engineering Materials， 2012， 523-524： 87-92.
21	DAI Y， ZHENG X， CHEN X， et al. A prediction model of milling force for aviation 7050 aluminum alloy based on improved RBF neural network［J］. The International Journal of Advanced Manufacturing Technology， 2020， 110（9-10）： 2493-2501.

编号	径向切深 a_e/mm	进给速度 v_f/（mm·min^-1）	主轴转速 n/（r·min^-1）	轴向切深 a_p/mm
V1	0.2	350	5 000	4
V2	0.5	400	4 500	10
V3	0.4	450	3 000	6
V4	0.3	300	6 000	8

实验编号	F_x₁误差/%	F_x₂误差/%	F_x₃误差/%	平均误差/%
V1	8.33	5.78	2.15	5.42
V2	2.94	14.08	4.01	7.01

实验编号	F_y₁误差/%	F_y₂误差/%	F_y₃误差/%	平均误差/%
V1	10.36	4.57	1.17	5.37
V2	1.65	9.55	5.78	5.66

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Instantaneous milling force model of side milling hard and brittle materials in the state of tool eccentricity and runout

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