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Iterative from error prediction for side-milling of thin-walled parts

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Abstract

Deformation is an unavoidable phenomenon in a thin-walled milling operation, which causes the radial cutting depth to deviate from the initial position and change the tool-workpiece meshing boundary. Milling force is an important factor in the deformation; thus, the phenomenon of machining deformation mechanism is revealed and a machining error prediction model based on the force-deformation coupling relationship is developed in this paper. Discrete micro-cutting disks of the thin-walled parts take into account the deformations and milling cutting force of different contact relationships in the cutting area. The tool-workpiece contact relationship (single-flute cutting and double-flute cutting) is determined by different cutting parameters and the deflection of thin-walled parts is introduced. A detail iterative strategy is developed to calculate the milling force after deformation and the tool-workpiece meshing boundary. By modifying the instantaneous chip thickness of each micro-cutting disk, a new force-deformation coupling relationship and a time-based deformation matrix of different contact relationships are obtained. The machining error is calculated by considering the part deformation and the surface generation mechanism. After finishing systematic experiments, a comprehensive comparison between the model in mechanical prediction and experiments proves that the model captures the material removal mechanism that produces machining error. The results show that the proposed method can effectively predict the machining error.

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References

  1. Fujii Y, Iwabe H, Suzuki M (1979) Effect of dynamic behaviour of end mill in machining on work accuracy I-mechanism of generating shape errors. Bull Jpn Soc Precis Eng 13(1):20–26

    Google Scholar 

  2. Kline WA, DeVor RE, Shareef IA (1982) The prediction of surface accuracy in end milling. J Eng Ind 104(3):272–278

    Article  Google Scholar 

  3. Budak E, Altintas Y (1994) Peripheral milling conditions for improved dimensional accuracy. Int J Mach Tools Manuf 34(7):907–918

    Article  Google Scholar 

  4. Liang SY, Wang JJJ (1994) Milling force convolution modeling for identification of cutter axis offset. Int J Mach Tools Manuf 34(8):1177–1190

    Article  Google Scholar 

  5. Budak E, Tunç LT, Alan S, Özgüven HN (2012) Prediction of workpiece dynamics and its effects on chatter stability in milling. CIRP Ann 61(1):339–342

    Article  Google Scholar 

  6. Budak E, Altintas Y (1995) Modeling and avoidance of static form errors in peripheral milling of plates. Int J Mach Tools Manuf 35(3):459–476

    Article  Google Scholar 

  7. Altintas Y, Lee P (1996) A general mechanics and dynamics model for helical end mills. CIRP Ann 45(1):59–64

    Article  Google Scholar 

  8. Tsai JS, Liao CL (1999) Finite-element modeling of static surface errors in the peripheral milling of thin-walled workpiece. J Mater Process Technol 94(2–3):235–246

    Article  Google Scholar 

  9. Wan M, Zhang WH, Qiu K, Gao T, Yang Y (2005) Numerical prediction of static form errors in peripheral milling of thin-walled workpiece with irregular meshes. J Manuf Sci Eng 127(1):13–22

    Article  Google Scholar 

  10. Wan M, Zhang WH, Qin GH (2007) Efficient calibration of instantaneous cutting force coefficients and runout parameters for general end mills. Int J Mach Tools Manuf 47(11):1767–1776

    Article  Google Scholar 

  11. Wan M, Zhang WH (2006) Efficient algorithms for calculations of static form errors in peripheral milling. J Mater Process Technol 171(1):156–165

    Article  Google Scholar 

  12. Ratchev S, Liu S, Huang W (2004) Milling error prediction and compensation in machining of low-rigidity parts. Int J Mach Tools Manuf 44(15):1629–1641

    Article  Google Scholar 

  13. Soori M, Arezoo B, Habibi M (2017) Accuracy analysis of tool deflection error modelling in prediction of milled surfaces by a virtual machining system. Int J Comput Appl Technol 55(4):308–321

    Article  Google Scholar 

  14. Chen D, Zhang X, Xie Y (2017) A unified analytical cutting force model for variable helix end mills. Int J Adv Manuf Technol 92(9–12):3167–3185

    Article  Google Scholar 

  15. Gao Y, Ma J, Jia Z (2016) Tool path planning and machining deformation compensation in high-speed milling for difficult-to-machine material thin-walled parts with curved surface. Int J Adv Manuf Technol 84(9–12):1757–1767

    Article  Google Scholar 

  16. Li ZL, Tuysuz O, Zhu LM (2018) Surface form error prediction in five-axis flank milling of thin-walled parts. Int J Mach Tools Manuf 128:21–32

    Article  Google Scholar 

  17. Zhou L, Yang C, Peng F (2018) Prediction of flexible cutting force and tool deflections for general micro end mill considering tool run-out and deflection feedback. Int J Adv Manuf Technol 96(1–4):1415–1428

    Article  Google Scholar 

  18. Liu SM, Shao XD, Ge XB (2017) Simulation of the deformation caused by the machining cutting force on thin-walled deep cavity parts. Int J Adv Manuf Technol 92(9–12):3503–3517

    Google Scholar 

  19. Zhang ZH, Zheng L, Li Z (2001) Analytical model for end milling surface geometrical error with considering cutting force/torque. Chin J Mech Eng 37(1):6–10

    Article  Google Scholar 

  20. Zheng L, Liang SY, Zhang B (1998) Modelling of end milling surface error with considering tool-machine-workpiece compliance. J Tsinghua Univ 38:76–79

    Google Scholar 

  21. Yang L, DeVor RE, Kapoor SG (2005) Analysis of force shape characteristics and detection of depth-of-cut variations in end milling. J Manuf Sci Eng 127(3):454–462

    Article  Google Scholar 

  22. Denkena B, Krüger M, Bachrathy D, Stepan G (2012) Model based reconstruction of milled surface topography from measured cutting forces. Int J Mach Tools Manuf 54:25–33

    Article  Google Scholar 

  23. Song G, Li JF, Sun J (2013) Analysis on prediction of surface error based on precision milling cutting force model. J Mech Eng 49(21):168–170

    Article  Google Scholar 

  24. Yue CX, Chen ZT, Liang SY (2019) Modeling machining errors for thin-walled parts according to chip thickness. Int J Adv Manuf Technol:1–10. https://doi.org/10.1007/s00170-019-03474-y

  25. Yue CX, Gao HN, Liu XL (2019) A review of chatter vibration research in milling. Chin J Aeronaut 32(2):215–242

    Article  Google Scholar 

  26. Eksioglu C, Kilic ZM, Altintas Y (2012) Discrete-time prediction of chatter stability, cutting forces, and surface location errors in flexible milling systems. J Manuf Sci Eng 134(6):061006

    Article  Google Scholar 

  27. Mann BP, Edes BT, Easley SJ (2008) Chatter vibration and surface location error prediction for helical end mills. Int J Mach Tools Manuf 48(3–4):350–361

    Article  Google Scholar 

  28. Wimmer S, Zaeh M (2018) The prediction of surface error characteristics in the peripheral milling of thin-walled structures. J Manuf Mater Process 2(1):13

    Google Scholar 

  29. Bolar G, Mekonen M, Das A (2018) Experimental investigation on surface quality and dimensional accuracy during curvilinear thin-walled machining. Mater Today Proc 5(2):6461–6469

    Article  Google Scholar 

  30. Dépincé P, Hascoet JY (2006) Active integration of tool deflection effects in end milling. Part 1. Prediction of milled surfaces. Int J Mach Tools Manuf 46(9):937–944

    Article  Google Scholar 

  31. Wan M, Zhang WH (2006) Calculations of chip thickness and cutting forces in flexible end milling. Int J Adv Manuf Technol 29(7–8):637–647

    Article  Google Scholar 

  32. Wan M, Pan WJ, Zhang WH (2014) A unified instantaneous cutting force model for flat end mills with variable geometries. J Mater Process Technol 214(3):641–650

    Article  Google Scholar 

  33. Wan M, Zhang WH, Gang T (2007) New cutting force modeling approach for flat end mill. Chin J Aeronaut 20(3):282–288

    Article  Google Scholar 

  34. Zheng L, Chiou YS, Liang SY (1996) Three dimensional cutting force analysis in end milling. Int J Mech Sci 38(3):259–269

    Article  Google Scholar 

  35. Dépincé P, Hascoët JY (2006) Active integration of tool deflection effects in end milling. Part 2. Compensation of tool deflection. Int J Mach Tools Manuf 46(9):945–956

    Article  Google Scholar 

  36. Yue CX, Liu XL, Ding YP (2018) Off-line error compensation in corner milling process. Proc Inst Mech Eng B J Eng Manuf 232(7):1172–1181

    Article  Google Scholar 

  37. Armarego EJA, Whitfield RC (1985) Computer based modelling of popular machining operation for force and power prediction. CIRP Ann 34(1):65–69

    Article  Google Scholar 

  38. Schmitz TL, Honeycutt A (2017) Analytical solutions for fixed-free beam dynamics in thin rib machining. J Manuf Process 30:41–50

    Article  Google Scholar 

  39. Desai KA, Rao PVM (2012) On cutter deflection surface errors in peripheral milling. J Mater Process Technol 212(11):2443–2454

    Article  Google Scholar 

  40. Calleja A, Bo P, Gonzalez H, Bartoň M, López de Lacalle LN (2018) Highly accurate 5-axis flank CNC machining with conical tools. Int J Adv Manuf Technol 97:1605–1615

    Article  Google Scholar 

  41. Biermann D, Kersting P, Surmann T (2010) A general approach to simulating workpiece vibrations during five-axis milling of turbine blades. CIRP Ann 59(1):125–128

    Article  Google Scholar 

Download references

Funding

This work was supported by the Project of International Cooperation and Exchanges NSFC (Grant No. 51720105009), Natural Science Outstanding Youth Fund of Heilongjiang Province (Grant No. YQ2019E029) and Outstanding Youth Project of Science and Technology Talents (Grant Number LGYC2018JQ015).

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Correspondence to Caixu Yue.

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Chen, Z., Yue, C., Liang, S.Y. et al. Iterative from error prediction for side-milling of thin-walled parts. Int J Adv Manuf Technol 107, 4173–4189 (2020). https://doi.org/10.1007/s00170-020-05266-1

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  • DOI: https://doi.org/10.1007/s00170-020-05266-1

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