Skip to main content
Log in

A cutting force model for finishing processes using helical end mills with significant runout

  • Machine Tool
  • Published:
Production Engineering Aims and scope Submit manuscript

Abstract

Analytical cutting force models play an important role in a wide array of simulation approaches of milling processes. The accuracy of the simulated processes directly depends on the predictive power of the applied cutting force model, which may vary under specific circumstances. End milling processes with small radial cutting depths, e.g. finishing processes, are particularly problematic. In this case, the tool runout, which is usually neglected in established cutting force models, can become quite significant. Within this article, well-known cutting force models are implemented for runout-prone finishing processes and modified by integrating additional parameters. A method is presented for how these additional runout parameters can be efficiently determined alongside commonly used cutting coefficients. For this purpose, a large number of milling experiments have been performed where the cutting forces were directly measured using a stationary dynamometer. The measured cutting forces were compared with the simulated cutting forces to verify and assess the modified model. By using the presented model and calibration method, cutting forces can be accurately predicted even for small radial cutting depths and significant tool runout.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6

Similar content being viewed by others

References

  1. Merchant ME (1945) Mechanics of the metal cutting process. I. Orthogonal cutting and a type 2 chip. J Appl Phys 16(5):267–275

    Article  Google Scholar 

  2. Merchant ME (1945) Mechanics of the metal cutting process. II. Plasticity conditions in orthogonal cutting. J Appl Phys 16(6):318–324

    Article  Google Scholar 

  3. Altintas Y (2012) Manufacturing automation. Metal cutting mechanics, machine tool vibrations, and CNC design. Cambridge University Press, Cambridge

    Google Scholar 

  4. Budak E, Altintas Y, Armarego EJA (1996) Prediction of milling force coefficients from orthogonal cutting data. Trans ASME 118:216–224

    Google Scholar 

  5. Altintas Y, Kersting P, Biermann D, Budak E, Denkena B, Lazoglu I (2014) Virtual process systems for part machining operations. CIRP Ann Manuf Technol 63(2):585–605

    Article  Google Scholar 

  6. Fang N (2003) Slip-line modeling of machining with a rounded-edge tool. Part I. New model and theory. J Mech Phys Solids 51(4):715–742

    Article  Google Scholar 

  7. Engin S, Altintas Y (2001) Mechanics and dynamics of general milling cutters. Int J Mach Tools Manuf 41(15):2195–2212

    Article  Google Scholar 

  8. Arrazola PJ, Oezel T, Umbrello D, Davies M, Jawahir IS (2013) Recent advances in modelling of metal machining processes. CIRP Ann 62(2):695–718

    Article  Google Scholar 

  9. Budak E (2006) Analytical models for high performance milling. Part I. Cutting forces, structural deformations and tolerance integrity. Int J Mach Manuf 46(12–13):1478–1488

    Article  Google Scholar 

  10. Wan M, Zhang WH, Dang JW, Yang Y (2010) A novel cutting force modelling method for cylindrical end mill. Appl Math Model 34(3):823–836

    Article  Google Scholar 

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

    Article  Google Scholar 

  12. Sutherland JW, DeVor RE (1986) An improved method for cutting force and surface error prediction in flexible end milling systems. J Eng Ind 108(4):269

    Article  Google Scholar 

  13. Ratchev S, Liu S, Huang W, Becker AA (2004) A flexible force model for end milling of low-rigidity parts. J Mater Process Technol 153–154:134–138

    Article  Google Scholar 

  14. Kline WA, DeVor RE (1983) The effect of runout on cutting geometry and forces in end milling. Int J Mach Tool Des Res 23(2–3):123–140

    Article  Google Scholar 

  15. Wan M, Zhang WH, Dang JW, Yang Y (2009) New procedures for calibration of instantaneous cutting force coefficients and cutter runout parameters in peripheral milling. Int J Mach Tools Manuf 49(14):1144–1151

    Article  Google Scholar 

  16. Campatelli G, Scippa A (2012) Prediction of milling cutting force coefficients for aluminum 6082–T4. Procedia CIRP 1:563–568

    Article  Google Scholar 

  17. Grossi N, Sallese L, Scippa A, Campatelli G (2014) Chatter stability prediction in milling using speed-varying cutting force coefficients. Procedia CIRP 14:170–175

    Article  Google Scholar 

  18. Fontaine M, Moufki A, Devillez A, Dudzinski D (2007) Modelling of cutting forces in ball-end milling with tool-surface inclination. Part I. Predictive force model and experimental validation. J Mater Process Technol 189:73–84

    Article  Google Scholar 

  19. Ko JH, Cho DW (2004) Feed rate scheduling model considering transverse rupture strength of a tool for 3D ball-end milling. Int J Mach Tools Manuf 44:1047–1059

    Article  Google Scholar 

  20. Zhu R, Kapoor SG, DeVor RE (2001) Mechanistic modeling of the ball end milling process for multi-axis machining of free-form surfaces. J Manuf Sci Eng 123:369–379

    Article  Google Scholar 

  21. Insperger T, Mann BP, Surmann T, Stepan G (2008) On the chatter frequencies of milling processes with runout. Int J Mach Tools Manuf 48:1081–1089

    Article  Google Scholar 

  22. Schmitz TL, Couey J, Marsh E, Mauntler N, Hughes D (2007) Runout effects in milling. Surface finish, surface location error and stability. Int J Mach Tools Manuf 5:841–851

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sepp Wimmer.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wimmer, S., Ellinger, J. & Zaeh, M.F. A cutting force model for finishing processes using helical end mills with significant runout. Prod. Eng. Res. Devel. 12, 703–714 (2018). https://doi.org/10.1007/s11740-018-0846-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11740-018-0846-8

Keywords

Navigation