Chatter stability prediction in ball-end milling of thin-plate parts
ZHAO Tong1, CAI Chentong1, WANG Yongfei2, BIAN Pengxi1, ZHANG Yibo2
1. Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China; 2. Beijing Power Machinery Research Institute, Beijing 100074, China
Abstract：In ball-end milling of thin-plate parts, the chatter stability is analyzed using a three-dimensional multiple degrees of freedom milling dynamic model. The influence of the circular arc area left by the previous cutting on the tool– workpiece contact area is considered. The cutting force coefficients are identified by the average cutting force method. The modal parameters of the tool and workpiece are obtained via the hammer experiment. The stability lobe diagram (SLD) at each measurement point of the workpiece is obtained using the full-discretization method. Both theoretical and experimental results show that the variations in the dynamic characteristics at each point of the workpiece will change the SLD. Moreover, several closed unstable "island" regions are detected in the SLD. The unstable "island" region is attributed to the modal stiffness, modal frequency, and modal damping ratio of the workpiece.
[1] 秦赟. 薄壁件铣削颤振与刀具磨损状态监测研究[D]. 济南: 山东大学, 2021. QIN Y. Research on monitoring of milling chatter and tool wear condition for thin-walled workpiece[D]. Ji'nan: Shandong University, 2021. (in Chinese) [2] 卢晓红, 杨昆, 栾贻函, 等. 薄壁铣削加工颤振稳定性研究综述[J]. 振动与冲击, 2021, 40(8): 50-61, 69. LU X H, YANG K, LUAN Y H, et al. A review on chatter stability in thin-wall milling[J]. Journal of Vibration and Shock, 2021, 40(8): 50-61, 69. (in Chinese) [3] FENG J L, HOU N, JIAN Z, et al. An efficient method to predict the chatter stability of titanium alloy thin-walled workpieces during high-speed milling by considering varying dynamic parameters[J]. The International Journal of Advanced Manufacturing Technology, 2020, 106(11-12): 5407-5420. [4] YAN B L, ZHU L D. Research on milling stability of thin-walled parts based on improved multi-frequency solution[J]. The International Journal of Advanced Manufacturing Technology, 2019, 102(1-4): 431-441. [5] GUO M X, ZHU L D, YAN B L, et al. Research on the milling stability of thin-walled parts based on the semi-discretization method of improved Runge-Kutta method[J]. The International Journal of Advanced Manufacturing Technology, 2021, 115(7-8): 2325-2342. [6] REN S, LONG X H, MENG G. Dynamics and stability of milling thin walled pocket structure[J]. Journal of Sound and Vibration, 2018, 429: 325-347. [7] GAO H N, LIU X L. Stability research considering non-linear change in the machining of titanium thin-walled parts[J]. Materials, 2019, 12(13): 2083. [8] DING Y, ZHU L D. Investigation on chatter stability of thin-walled parts considering its flexibility based on finite element analysis[J]. The International Journal of Advanced Manufacturing Technology, 2018, 94(9-12): 3173-3187. [9] JIN X, SUN Y W, GUO Q, et al. 3D stability lobe considering the helix angle effect in thin-wall milling[J]. The International Journal of Advanced Manufacturing Technology, 2016, 82(9-12): 2123-2136. [10] BRAVO U, ALTUZARRA O, DE LACALLE L, et al. Stability limits of milling considering the flexibility of the workpiece and the machine[J]. International Journal of Machine Tools and Manufacture, 2005, 45(15): 1669-1680. [11] 李长城. 航空薄壁件高速铣削过程中的稳定性分析及控制[D]. 兰州: 兰州理工大学, 2020. LI C C. Stability analysis and control during high-speed milling of aerospace thin-walled parts[D]. Lanzhou: Lanzhou University of Technology, 2020. (in Chinese) [12] LI W T, WANG L P, YU G. Chatter prediction in flank milling of thin-walled parts considering force-induced deformation[J]. Mechanical Systems and Signal Processing, 2022, 165: 108314. [13] 周凯. 基于全离散法的铣削颤振预测方法优化及应用[D]. 北京: 清华大学, 2018. ZHOU K. The optimization and application of full- discretization method for predicting milling stability[D]. Beijing: Tsinghua University, 2018. (in Chinese) [14] ZATARAIN M, MUÑOA J, PEIGNÉ G, et al. Analysis of the influence of mill helix angle on chatter stability[J]. CIRP Annals, 2006, 55(1): 365-368. [15] ADETORO O B, SIM W M, WEN P H. An improved prediction of stability lobes using nonlinear thin wall dynamics[J]. Journal of Materials Processing Technology, 2010, 210(6-7): 969-979. [16] ALTINTAS Y. Manufacturing automation: Metal cutting mechanics, machine tool vibrations, and CNC design[M]. 2nd ed. Cambridge: Cambridge University Press, 2012.
2022, Vol. 62 
