Abstract
The algebraic and statistical models have assumed an essential role to better understand the relationship of the cutting parameters and their interactions in the cutting forces. This work evaluated the effects of cutting speed, feed rate, and depth of cut on the cutting force (Fc) and specific cutting force (kS) in the turning of the Ti-6Al-4V and Ti-6Al-7Nb titanium alloys. The experimental tests were carried out with two different insert tools under dry conditions. A response surface method was employed for modelling and better understanding the correlation between the cutting forces and the independent parameters. A central composite design was used as experimental planning. The adequacy and significance of the response model were identified using the analysis of variance (ANOVA). The developed RSM models showed a good degree of fit, which indicates that the cutting force models can be effectively used to estimate the responses in the turning of the Ti-6Al-4V and Ti-6Al-7Nb titanium alloys. The lowest force components were found when the depth of cut and feed rate levels are small and cutting speed is high. Furthermore, the depth of cut was the most significant factor influencing the cutting efforts. Finally, kS values were mainly influenced by chip thickness, while the cutting speed has not affected the kS data.
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Yuan Y, Jing X, Ehmann KF, Cao J, Li H, Zhang D (2018) Modeling of cutting forces in micro end-milling. J Manuf Process 31:844–858
Orra K, Choudhury SK (2018) Mechanistic modelling for predicting cutting forces in machining considering effect of tool nose radius on chip formation and tool wear land. Int J Mech Sci 142–143:255–268
Heydarzadeh MS, Rezaei SM, Azizi N, Kamali E A (2018) Compensation of friction and force ripples in the estimation of cutting forces by neural networks. Measurement 114:354–364
Joardar H, Das NS, Sutradhar G, Singh S (2014) Application of response surface methodology for determining cutting force model in turning of LM6/SiCP metal matrix composite. Measurement 47:452–464
Hanief M, Wani MF, Charoo MS (2017) Modeling and prediction of cutting forces during the turning of red brass (C23000) using ANN and regression analysis. Eng SciTechnol An Int J 20(3):1220–1226
Cascón I, Sarasua JA (2015) Mechanistic model for prediction of cutting forces in turning of non-axisymmetric parts. Procedia CIRP 31:435–440
Dorlin T, Guillaume F, Costes JP (2015) Analysis and modeling of the contact radius effect on the cutting forces in cylindrical and face turning of Ti6Al4V titanium alloy. Procedia CIRP 31:185–190
Wyen C-F, Wegener K (2010) Influence of cutting edge radius on cutting forces in machining titanium. CIRP Ann 59(1):93–96
Rey PA, LeDref J, Senatore J, Landon Y (2016) Modelling of cutting forces in orbital drilling of titanium alloy Ti–6Al–4V. Int J Mach Tools Manuf 106:75–88
Ribeiro Filho SLM, Lauro CH, Bueno AHS, Brandão LC (2016) Influence cutting parameters on the surface quality and corrosion behavior of Ti–6Al–4V alloy in synthetic body environment (SBF) using response surface method. Measurement 88:223–237
Lauro CH, Ribeiro Filho SLM, Brandão LC, Davim JP (2016) Analysis of behaviour biocompatible titanium alloy (Ti-6Al-7Nb) in the micro-cutting. Measurement 93:529–540
Lauro CH, Brandão LC, Ribeiro Filho SLM, Davim JP (2018) Behaviour of a biocompatible titanium alloy during orthogonal micro-cutting employing green machining techniques. Int J Adv Manuf Technol 98:1573–1589. https://doi.org/10.1007/s00170-018-2352-8
Horváth R (2015) A new model for fine turning forces. Acta Polytechnica Hungarica 12(7):109–128
Lamikiz A, Lopez de Lacalle LN, Sanchez JA, Bravo U (2005) Calculation of the specific cutting coefficients and geometrical aspects in sculptured surface machining. Mach Sci Technol 9(3):411–436
Kienzle O, Victor H (1952) Die bestimmung von kräften und leistungen an spanenden werkzeugmaschinen. VDI-Z 94:299–305
Grądzka DS, Nejman M, Jemielniak K (2018) Relation between power and linear model of dynamic cutting coefficients, 11th CIRP conference on intelligent computation in manufacturing engineering, CIRP ICME ‘17. Procedia CIRP 67:274–277
Horváth R, Lukács J (2017) Application of a force model adapted for the precise turning of various metallic materials. Stroj Vestn-J Mech E 63(9):489–500
Meng Q, Arsecularatne JA, Mathew P (2000) Calculation of optimum cutting conditions for turning operations using a machining theory. Int J Mach Tool Manu 40:1709–1733
Boujelbene M (2018) Investigation and modelling of the tangential cutting force of the titanium alloy Ti-6Al-4V in the orthogonal turning process. 2nd International Conference on Materials Manufacturing and Design Engineering. Procedia Manuf 20:571–577
Khan MA, Mozammel Mia M, Dhar NR (2016) High-pressure coolant on flank and rake surfaces of tool in turning of Ti-6Al-4V: investigations on forces, temperature, and chips. Int J Adv Manuf Technol 90:5–8 1977–1991
Mia M, Khan MA, Dhar NR (2017) Study of surface roughness and cutting forces using ANN, RSM, and ANOVA in turning of Ti-6Al-4V under cryogenic jets applied at flank and rake faces of coated WC tool. Int J Adv Manuf Technol 93:1–4 975–991
Kobayashi E, Wang TJ, Doi H, Yoneyama T, Hamanaka H (1998) Mechanical properties and corrosion resistance of Ti-6Al-7Nb alloy dental castings. J Mater Sci Mater Med 9(10):567–574
Carou D, Rubio EM, Agustina B, Teti R (2017) Sustainable turning of the Ti-6Al-4V alloy at low feed rates: surface quality assessment. Procedia Manuf 8:769–774
Hertel M, Dix M, Putz M (2018) Analytic model of process forces for orthogonal turn-milling. Prod Eng:12/3–4, 491–500
Oliveira JA, Ribeiro FSLM, Lauro CH, Brandão LC (2017) Analysis of the micro turning process in the Ti-6Al-4V titanium alloy. Int J Adv Manuf Technol 92:4009–4016
Silva RB, Sales WF, Costa ES, Ezugwu EO, Bonney J, Silva MB, Machado AR (2017) Surface integrity and tool life when turning of Ti-6Al-4V with coolant applied by different methods. Int J Adv Manuf Technol 93(5–8):1893–1902
Mahapatro A (2015) Bio-functional nano-coatings on metallic biomaterials. Mater Sci Eng: C 55:227–-251
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The authors were financially supported by the CNPq - National Research Council and the FAPEMIG - Foundation of Support to the Research of the Minas Gerais State in the Project APQ-01987/14.
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Filho, S.L.M.R., Pereira, R.B.D., Lauro, C.H. et al. Investigation and modelling of the cutting forces in turning process of the Ti-6Al-4V and Ti-6Al-7Nb titanium alloys. Int J Adv Manuf Technol 101, 2191–2203 (2019). https://doi.org/10.1007/s00170-018-3110-7
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DOI: https://doi.org/10.1007/s00170-018-3110-7