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An identification model of cutting force coefficients for five-axis ball-end milling

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Abstract

Five-axis ball-end milling is widely used in energy, ship, aerospace, and other fields. As one of the difficulties in milling research, milling force is often critical to the processing efficiency and quality of part. For predicting the milling force of the five-axis ball-end milling better, this paper presents a cutting force coefficients identification model which is related to the instantaneous chip layer thickness and axial position angle considering the cutter run-out. For five-axis ball-end milling of the oblique plane, the relationship of feed direction, cutter axis vector, and machined surface is parameterized. The boundary curves of cutter workpiece engagement (CWE) are determined by intersecting spatial surfaces. The boundary curves are discretized, and an algorithm of in-cut cutting edge (ICCE) is proposed by defining the distance between discrete points and the cutting edge. Combining the instantaneous chip thickness considering arbitrary feed direction and cutter run-out, the five-axis milling force model of ball-end mill is established. Based on the undetermined coefficient method and the instantaneous average milling force of teeth, the cutting force coefficients identification model corresponding to the instantaneous chip layer thickness and the axial position angle is established. Furthermore, cutter run-out parameters are obtained combined with instantaneous measured milling force of single tooth. The experimental and simulation examples demonstrate that the CWE determined by the spatial surfaces is consistent with the experimental results. The ICCE is in good agreement with the simulation results based on the solid modeling method. A large number of milling experiments under different processing parameters show that the cutting force coefficients and cutter run-out parameters identification model can be effectively applied to five-axis ball-end milling.

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References

  1. Zhang X, Zhang J, Zhao WH (2016) A new method for cutting force prediction in peripheral milling of complex curved surface. Int J Adv Manuf Technol 86(1–4):117–128

    Article  Google Scholar 

  2. Zhang DL, Mo R, Chang ZY, Sun HB, Li C (2016) A study of computing accuracy of calibrating cutting force coefficients and run-out parameters in flat-end milling. Int J Adv Manuf Technol 84(1–4):621–630

    Article  Google Scholar 

  3. Guo D, Ren F, Sun Y (2010) An approach to modeling cutting forces in five-axis ball-end milling of curved geometries based on tool motion analysis. J Manuf Sci Eng 132(4):575–590

    Google Scholar 

  4. Fussell BK, Jerard RB, Hemmett JG (2000) Modeling of cutting geometry and forces for 5-axis sculptured surface machining. Comput Aided Des 35(4):333–346

    Article  Google Scholar 

  5. Ferry W, Yip-Hoi D (2008) Cutter-workpiece engagement calculations by parallel slicing for five-axis flank milling of jet engine impellers. J Manuf Sci Eng 130(5):051011

    Article  Google Scholar 

  6. Boz Y, Erdim H, Lazoglu I (2011) Modeling cutting forces for 5-axis machining of sculptured surfaces. Adv Mater Res 223:701–712

    Article  Google Scholar 

  7. Ozturk E, Budak E (2005) Modeling of 5-axis milling forces. In: Proceedings of the eighth CIRP international workshop on modeling of machining operations, may 10–11, Chemnitz, Germany, 319–332

  8. Ozturk B, Lazoglu I (2006) Machining of free-form surfaces. Part I: Analytical chip load. Int J Mach Tools Manuf 46(7):728–735

    Article  Google Scholar 

  9. Sun YW, Guo Q (2011) Numerical simulation and prediction of cutting forces in five-axis milling processes with cutter run-out. Int J Mach Tools Manuf 51(10–11):806–815

    Article  Google Scholar 

  10. Wei ZC, Wang MJ, Wang XW, Zhao DY (2017) A semi-analytical cutter workpiece engagement model for ball end milling of sculptured surface. J Mech Eng 53(1):198–205

    Article  Google Scholar 

  11. Lee P, Altintaş Y (1996) Prediction of ball-end milling forces from orthogonal cutting data. Int J Mach Tools Manuf 36(9):1059–1072

    Article  Google Scholar 

  12. Kim GM, Cho PJ, Chu CN (2000) Cutting force prediction of sculptured surface ball-end milling using Z-map. Int J Mach Tools Manuf 40(2):277–291

    Article  Google Scholar 

  13. Wang JJJ, Huang CY (2004) A force-model-based approach to estimating cutter axis offset in ball end milling. Int J Adv Manuf Technol 24(11–12):910–918

    Article  Google Scholar 

  14. Lamikiz A, Lacalle LNLD, 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

    Article  Google Scholar 

  15. Cao Q, Zhao J, Han S, Chen X (2012) Force coefficients identification considering inclination angle for ball-end finish milling. Precis Eng 36(2):252–260

    Article  Google Scholar 

  16. Yao ZQ, Liang XG, Luo L, Hu J (2013) A chatter free calibration method for determining cutter runout and cutting force coefficients in ball-end milling. J Mater Process Technol 213(9):1575–1587

    Article  Google Scholar 

  17. Ehsan Layegh KS, Lazoglu I (2014) A new identification method of specific cutting coefficients for ball end milling. Procedia CIRP 14(14):182–187

    Google Scholar 

  18. Wojciechowski S (2015) The estimation of cutting forces and specific force coefficients during finishing ball end milling of inclined surfaces. Int J Mach Tools Manuf 89:110–123

    Article  Google Scholar 

  19. Li BC, Wang ZY, Wang GX, Wang WS (2016) Milling force coefficient identification of ball-end milling based on instantaneous milling forces. J Northeast Univ 37(5):678–682

    Google Scholar 

  20. Wan M, Ma CY, Zhang WH, Yang Y (2015) Study on the construction mechanism of stability lobes in milling process with multiple modes. Int J Adv Manuf Technol 79(1–4):589–603

    Article  Google Scholar 

  21. Wan M, Ma CY, Feng J, Zhang WH (2016) Study of static and dynamic ploughing mechanisms by establishing generalized model with static milling forces. Int J Mech Sci 114:120–131

    Article  Google Scholar 

  22. Wan M, Feng J, Ma YC, Zhang WH (2017) Identification of milling process damping using operational modal analysis. Int J Mach Tools Manuf 122:120–131

    Article  Google Scholar 

  23. Wan M, Dang XB, Zhang WH, Yang Y (2018) Optimization and improvement of stable processing condition by attaching additional masses for milling of thin-walled workpiece. Mech Syst Signal Process 103:196–218

    Article  Google Scholar 

  24. Wei ZC, Wang MJ, Cai YJ, Wang SF (2013) Prediction of cutting force in ball-end milling of sculptured surface suing improved Z-map. Int J Adv Manuf Technol 68:1167–1177

    Article  Google Scholar 

  25. Yun WS, Cho DW (2000) An improved method for the determination of 3D cutting force coefficients and runout parameters in end milling. Int J Adv Manuf Technol 16(12):851–858

    Article  Google Scholar 

  26. Wei ZC, Guo ML, Wang MJ, Li SQ, Liu SX (2018) Prediction of cutting force in five-axis flat-end milling. Int J Adv Manuf Technol 96(1–4):137–152

    Google Scholar 

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Funding

This research is supported by the Natural Science Foundation of Liaoning No. 201602174 and the Fundamental Research Funds for the Central Universities No. DUT17GF213.

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Authors and Affiliations

  1. Key Laboratory for Precision and Non-traditional Machining Technology of Ministry of Education, Dalian University of Technology, Dalian, 116024, People’s Republic of China

    Minglong Guo, Zhaocheng Wei, Minjie Wang, Shiquan Li & Shengxian Liu

Authors
  1. Minglong Guo
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  2. Zhaocheng Wei
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  3. Minjie Wang
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  4. Shiquan Li
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  5. Shengxian Liu
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Correspondence to Zhaocheng Wei.

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Guo, M., Wei, Z., Wang, M. et al. An identification model of cutting force coefficients for five-axis ball-end milling. Int J Adv Manuf Technol 99, 937–949 (2018). https://doi.org/10.1007/s00170-018-2451-6

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  • DOI: https://doi.org/10.1007/s00170-018-2451-6

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