Abstract
In this paper, the performances of two cutting force models are compared alongside two methods for identifying their empirical parameters. The models’ performances are evaluated with the aim of determining which model is suited to the prediction of forces generated during the operations with features sizes less than 1 mm. The models’ empirical parameters were then identified using a linear regression on collected force data and a simplex search-based optimization method that minimized the error between the model output and the measured data. The models’ predictions were compared to experimental results gathered from several shallow milling passes conducted at a variety of tool immersions. The models were used to produce force estimates based on measured milling parameters and depth of cut estimates based on the measured forces. The simplex search method was shown to be the most effective of the identification techniques. In full immersion tests, the linear model trained using the linear regression method performed best. However, in low material removal rate partial immersion tests, which more closely resemble deburring operations, the exponential model trained via simplex search outperformed the linear model by nearly two orders of magnitude.
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References
Aurich JC, Dornfeld D, Arrazola PJ, Franke V, Leitz L, Min S (2009) Burrs-Analysis, control and removal. CIRP Ann Manuf Technol 58(2):519–542
Her MG, Kazerooni H (1991) Automated robotic deburring of parts using compliance control. Trans of ASME J Dyn Syst Meas Control 113(1):60–66
Hsu FY, Fu LC (2000) Intelligent robot deburring using adaptive fuzzy hybrid position/force control. IEEE Trans Robot Autom 16(4):325–335
Villagrossi E, Pedrocchi N, Beschi M, Molinari L, Villagrossi E, Pedrocchi N, Beschi M (2018) A human mimicking control strategy for robotic deburring of hard materials A human mimicking control strategy for robotic deburring of hard materials. Int J Comput Integr Manuf 31(9):869–880. https://doi.org/10.1080/0951192X.2018.1447688
Song H-C, Song J-B (2013) Precision robotic deburring based on force control for arbitrarily shaped workpiece using CAD model matching. Int J Precis Eng Manuf 14(1):85–91. 10.1007/s12541-013-0013-2
Merchant ME (1945) Mechanics of the metal cutting process. I. Orthogonal cutting and a type 2 chip. J Appl Phys 16(5):267–275
Palmer WB, Oxley PLB (1959) Mechanics of Orthogonal Machining. Proc Inst Mech Eng 173(1):623–654
Roth RN, Oxley PLB (1972) Slip-Line Field Analysis for Orthogonal Machining Based upon Experimental Flow Fields. J Mech Eng Sci 14(2):85–97
Fang N, Jawahir IS, Oxley PL (2001) Universal slip-line model with non-unique solutions for machining with curled chip formation and a restricted contact tool. Int J Mech Sci 43(2):557–580
Han Z, Jin H, Fu H (2015) Cutting force prediction models of metal machining processes: A review. In: Proceedings of 2015 International conference on estimation, detection and information fusion, ICEDIF 2015, no. ICEDlF, pp 323–328
Arrazola PJ, Özel T (2010) Investigations on the effects of friction modeling in finite element simulation of machining. Int J Mech Sci 52(1):31–42
Bȧker M. (2006) Finite element simulation of high-speed cutting forces. J Mater Process Technol 176(1-3):117–126
Koenigsberger F, Sabberwl A (1961) An investigation into the cutting force pulsations during milling operations. Int J Mach Tool Des Res 1(1-2):15–33. https://linkinghub.elsevier.com/retrieve/pii/0020735761900415
Altintas Y, Spence A, Tlusty J (1991) End Milling Force Algorithms for CAD Systems. CIRP Ann Manuf Technol 40(1):31–34
Altintas Y (2012) Manufacturing automation: metal cutting mechanics, machine tool vibrations, and CNC design. Cambridge University Press, Cambridge
Kienzle O (1952) Die bestimmung von kräften und leistungen an spanenden werkzeugen und werkzeugmaschinen. VDI-Z 94(11):299–305
Adem KAM, Fales R, El-Gizawy AS (2015) Identification of cutting force coefficients for the linear and nonlinear force models in end milling process using average forces and optimization technique methods. Int J Adv Manuf Technol 79(9-12):1671– 1687
Schwenzer M, Auerbach T, Dȯbbeler B, Bergs T (2019) Comparative study on optimization algorithms for online identification of an instantaneous force model in milling. Int J Adv Manuf Technol 101 (9-12):2249–2257
Schwenzer M, Stemmler S, Ay M, Bergs T, Abel D (2019) Ensemble Kalman filtering for force model identification in milling. Procedia CIRP 82:296–301. https://linkinghub.elsevier.com/retrieve/pii/S2212827119306420
Thombansen U, Buchholz G, Frank D, Heinisch J, Kemper M, Pullen T, Reimer V, Rotshteyn G, Schwenzer M, Stemmler S, Abel D, Gries T, Hopmann C, Klocke F, Poprawe R, Reisgen U, Schmitt R (2018) Design framework for model-based self-optimizing manufacturing systems. Int J Adv Manuf Technol 97(1-4):519–528
Wan M, Zhang WH (2009) Systematic study on cutting force modelling methods for peripheral milling. Int J Mach Tools Manuf 49(5):424–432
Budak E, Altintaş Y, Armarego EJ (1996) Prediction of milling force coefficients from orthogonal cutting data. J Manuf Sci Eng Trans ASME 118(2):216–224
Tsai MY, Chang SY, Hung JP, Wang CC (2016) Investigation of milling cutting forces and cutting coefficient for aluminum 6060-T6. Comput Electr Eng 51:320–330. https://doi.org/10.1016/j.compeleceng.2015.09.016
Engin S, Altintas Y (2001) Mechanics and dynamics of general milling cutters. Part I: helical end mills. Int J Mach Tools Manuf 41(15):2195–2212
Wang JJ, Chang HC (2004) Extracting cutting constants via harmonic force components for a general helical end mill. Int J Adv Manuf Technol 24(5-6):415–424
Endres WJ, DeVor RE, Kapoor SG (1995) A dual-mechanism approach to the prediction of machining forces, part 2: Calibration and validation. J Manuf Sci Eng Trans ASME 117(4):534–541
Kienzle O (1952) Die bestimmung von kräften und leistungen an spanenden werkzeugen und werkzeugmaschinen. VDI-Z 94(11-12):299–305
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This work received support from the Natural Sciences and Engineering Research Council of Canada (NSERC) grants RGPIN-2017-06967, RGPIN-2015-04169, and CRDPJ 514258-17.
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Grael Miller: conceptualization, methodology, validation, writing original draft, software. Rishad Irani: review, conceptualization, methodology, validation, writing—review and editing. Mojtaba Ahmadi: review, conceptualization, methodology, validation, writing—review and editing.
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Miller, G., Irani, R.A. & Ahmadi, M. The application of mechanistic cutting force models for robotic deburring. Int J Adv Manuf Technol 115, 199–212 (2021). https://doi.org/10.1007/s00170-021-07070-x
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DOI: https://doi.org/10.1007/s00170-021-07070-x