Abstract
This study establishes an empirical model for a four-flute cylindrical helical end mill, utilizing orthogonal cutting tests on a Ti-6Al-4V block as the machining workpiece. The reliability of the model was confirmed through a titanium alloy side milling experiment. Results demonstrate that the empirical index model for predicting the main cutting force error falls within the range of 4.19 %–10.0 %, providing an effective tool for cutting force prediction. The specific influence distribution trends of cutting parameters, including milling speed, feed per tooth, and depth of cut, on the cutting force through two-step milling of profile walled surface of titanium alloy were analyzed. The results reveal that the milling force in the first step exhibits a discernible upward trend with the increase of feed per tooth and radial depth of cut. Among the cutting parameters employed in the first step, the cutting speed exerts the most significant influence on the cutting force in the second step.
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References
X. Zhang, Y. Zhao and C. Bai, Titanium Alloys and Applications, Chemical Industry Press, Beijing, China (2005).
A. Shokrani, V. Dhokia and S. T. Newman, Environmentally conscious machining of difficult-to-machine materials with regard to cutting fluids, International J. of Machine Tools and Manufacture, 57 (2012) 83–101.
E. O. Ezugwu, Key improvements in the machining of difficult-to-cut aerospace superalloys, International J. of Machine Tools and Manufacture, 45 (12–13) (2005) 1353–1367.
A. Pramanik, Problems and solutions in machining of titanium alloys, International J. of Advanced Manufacturing Technology, 70 (5–8) (2014) 919–928.
F. Nabhani, Machining of aerospace titanium alloys, Robotics and Computer-Integrated Manufacturing, 17 (1–2) (2001) 99–106.
E. O. Ezugwu and Z. M. Wang, Titanium alloys and their machinability—a review, J. of Materials Processing Technology, 68 (3) (1997) 262–274.
J. Feng, Z. Sun, Z. Jiang and L. Yang, Identification of chatter in milling of Ti-6Al-4V titanium alloy thin-walled workpieces based on cutting force signals and surface topography, International J. of Advanced Manufacturing Technology, 82 (9–12) (2016) 1909–1920.
P. J. Arrazola, T. Özel, D. Umbrello, M. Davies and I. S. Jawahir, Recent advances in modelling of metal machining processes, CIRP Annals, 62 (2) (2013) 695–718.
B. L. Li, Y. J. Hu, X. L. Wang and C. G. Li, Cutting force prediction based on oblique cutting theory in end milling, China Mechanical Engineering, 22 (19) (2011) 2283.
D. W. Smithey, S. G. Kapoor and R. E. DeVor, A worn tool force model for three-dimensional cutting operations, International J. of Machine Tools and Manufacture, 40 (13) (2000) 1929–1950.
R. Zhu, S. G. Kapoor, R. E. DeVor and S. M. Athavale, Mechanistic force models for chip control tools, J. of Manufacturing Science and Engineering, 121 (3) (1999) 408–416.
C. Xu, T. Xu, H. Li, J. Zhang, W. Liu and H. Li, Experimental tests and empirical models of the cutting force and surface roughness when cutting 1Cr13 martensitic stainless steel with a coated carbide tool, Advances in Mechanical Engineering, 8 (10) (2016).
H. Luo, Experimental investigation on tool failure and machined surface quality for high speed milling titanium alloy, Master’s Thesis, Shandong University, China (2012).
H. Akkuş and H. Yaka, Experimental and statistical investigation of the effect of cutting parameters on surface roughness, vibration and energy consumption in machining of titanium 6Al-4V ELI (grade 5) alloy, Measurement, 167 (2021) 108465.
H. Akkuş and H. Yaka, Optimization of cutting parameters in turning of titanium alloy (grade 5) by analysing surface roughness, tool wear and energy consumption, Experimental Techniques, 46 (6) (2022) 945–956.
J. Y. Liu, A. H. Li, J. C. Zhang, Y. Q. Wang and Z. H. Feng, Performance of high-speed steel drills in wet drilling Inconel 718 superalloy, Experimental Techniques, 47 (2) (2023) 395–406.
R. Wang and Z. Wang, Analysis of milling force and surface roughness of TC4 titanium alloy, Tool Engineering, 55 (5) (2021) 30–33.
R. Zhang, A. Li and X. Song, Surface quality adjustment and controlling mechanism of machined surface layer in two-step milling of titanium alloy, International J. of Advanced Manufacturing Technology, 119 (3–4) (2022) 2691–2707.
A. Li, R. Zhang, J. Liu and X. Song, Effect of cutting process adjustment on crystallographic texture of machined surface layer of titanium alloy, Archives of Civil and Mechanical Engineering, 23 (1) (2022) 19.
M. Lv, A. Li, D. Ge and R. Zhang, Step-dependent grain refinement and micro-harness evolution during chip formation process in orthogonal cutting of titanium alloy Ti-6Al-4V, International J. of Advanced Manufacturing Technology, 119 (7–8) (2022) 4219–4236.
J. Xu, J. Shen, L. Li, G. Guo, X. Zhu, Y. Meng and M. Chen, Milling machinability analysis of GW63K rare-earth magnesium alloys based on the concept of clean cutting, J. of Materials Research and Technology, 26 (2023) 9380–9391.
M. Kowalczyk, Analysis of cutting forces and geometric surface structures in the milling of NiTi alloy, Materials, 17 (2) (2024) 488.
D. Yang and Z. Liu, Surface topography analysis and cutting parameters optimization for peripheral milling titanium alloy Ti–6Al–4V, International J. of Refractory Metals and Hard Materials, 51 (2015) 192–200.
W. Liu, Design of Experiments, Tsinghua University Press, China (2005).
H. Akkuş and H. Yaka, Optimization of turning process by using Taguchi method, Sakarya University J. of Science, 22 (5) (2018) 1444–1448.
G. Hou, A. Li, X. Song, H. Sun and J. Zhao, Effect of cutting parameters on surface quality in multi-step turning of Ti-6Al-4V titanium alloy, International J. of Advanced Manufacturing Technology, 98 (5–8) (2018) 1355–1365.
L. Wang, Y. Ke and Z. Huang, Experimental study on milling-force model in aviation aluminum-alloy, China Mechanical Engineering, 19 (2003) 70–72+5.
Shanghai Association of Metal Cutting Technology, Metal Cutting Handbook, Shanghai Association of Metal Cutting Technology, China (1984).
Z. Liu, Y. Wan and X. Ai, Study of cutting forces in high-speed milling, China Mechanical Engineering, 14 (9) (2003) 734–737.
F. Wang, J. Zhao, A. Li and J. Zhao, Experimental study on cutting forces and surface integrity in high-speed side milling of Ti-6Al-4V titanium alloy, Machining Science and Technology, 18 (3) (2014) 448–463.
A. Polishetty, M. Shunmugavel, M. Goldberg, G. Littlefair and R. K. Singh, Cutting force and surface finish analysis of machining additive manufactured titanium alloy Ti-6Al-4V, Procedia Manufacturing, 7 (2017) 284–289.
H. Xu, Q. Jiang and T. Cao, Milling Process Handbook, China Machine Press, China (2012).
E. Liu, R. Wang, Q. Wen and S. Deng, Optimization of milling tool parameters and experimental research on titanium alloy TC11, Integrated Ferroelectrics, 233 (1) (2023) 28–41.
K. D. Edkins, An investigation of machining induced residual stresses on grade 4 and 5 titanium alloys, Master’s Thesis, University of Johannesburg, South Africa (2012).
G. Sutter, L. Faure, A. Molinari, N. Ranc and V. Pina, An experimental technique for the measurement of temperature fields for the orthogonal cutting in high speed machining, International J. of Machine Tools and Manufacture, 43 (7) (2003) 671–678.
S. M. Siva, G. Prasanthi, A. K. Kumar, V. K. Sridhar and S. K. Gugulothu, Optimization of cutting parameters while turning Ti-6Al-4 V using response surface methodology and machine learning technique, International J. on Interactive Design and Manufacturing, 15 (4) (2021).
B. Wu, G. Zhang and J. Zhou, Simulation research on cutting force in high speed milling of Ti-6Al-4V, Tool Engineering, 46 (11) (2012) 6–9.
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This work is supported by the Natural Science Foundation of Shandong Province (ZR2021ME043), and the National Natural Science Foundation of China (51605260).
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Anhai Li is currently an Associate Professor of Mechanical Engineering, Shandong University, Jinan, China. He received his B.E. in Mechanical Engineering and Automation from Jilin University, Changchun, China in 2008 and his Ph.D. in Mechanical Manufacturing and Automation from Shandong University, Jinan, China in 2013. His research interests include high-efficiency machining and numerical control cutting tool technology.
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Wang, J., Kong, B., Li, A. et al. Experimental study on cutting force in two-step milling of profile walled surface of titanium alloy. J Mech Sci Technol (2024). https://doi.org/10.1007/s12206-024-0935-x
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DOI: https://doi.org/10.1007/s12206-024-0935-x