Skip to main content
SpringerLink
Log in

Modelling of Cutting Forces in Ball-End Milling

  • Conference paper
  • First Online:
Proceedings of the 4th International Conference on Industrial Engineering (ICIE 2018)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Included in the following conference series:

  • 104 Accesses

Abstract

Manufacturing multiple freeform surfaces’ parts, viz. dies, moulds, blades, impellers, metal models, etc., is both one of the most time-consuming and difficult methods of machining processes existing today. Since the surfaces subject to machining have various elements and their shapes are very complex, the material layer removed at the machining process is uneven. The main parameters influencing the surface quality are the values and the directions of normal and tangential components of the cutting force described in the paper. A set of equations stating the interrelation between the normal component of the cutting force and the geometrical parameters of the cutting zone is given. The analytical and later numerical solution of the set of equations allows mathematical modelling of the force parameters during freeform surface machining, which, consequently, will allow for the further investigation concerning mathematical modelling of a surface topology and, as a result, prediction of the obtaining surface accuracy and roughness.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 259.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 329.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. He G, Ma W, Yu G, Lang A (2014) Modeling and experimental validation of cutting forces in five-axis ball-end milling based on true tooth trajectory. Int J Adv Manuf Technol 78(1–4):189–197. https://doi.org/10.1007/s00170-014-6548-2

    Article  Google Scholar 

  2. Boz Y, Erdim H, Lazoglu I (2011) Modeling cutting forces for five axis milling of sculptured surfaces (Conference Paper). Adv Mater Res 223:701–712. https://doi.org/10.4028/www.scientific.net/AMR.223.701

    Article  Google Scholar 

  3. Ko T, Kim H, Lee S (2001) Selection of the machining inclination angle in high-speed ball end milling. Int J Adv Manuf Technol 17:163–170. https://doi.org/10.1007/PL00003943

    Article  Google Scholar 

  4. Kang M, Kim K, Lee D et al (2001) Characteristics of inclined planes according to the variations of cutting direction in high-speed ball-end milling. Int J Adv Manuf Technol 17:323–329. https://doi.org/10.1007/s001700170166

    Article  Google Scholar 

  5. Ji W, Liu X, Wang L et al (2016) Research on modelling of ball-nosed end mill with chamfered cutting edge for 5-axis grinding. Int J Adv Manuf Technol 87(9–12):2731–2744. https://doi.org/10.1007/s00170-016-8631-3

    Article  Google Scholar 

  6. Ghariblu H, Abedi SJ (2014) A new layered manufacturing machine with cutting force analysis in tapered end milling. J Mech Sci Technol 28(8):3087–3093. https://doi.org/10.1007/s12206-014-0716-z

    Article  Google Scholar 

  7. Zeroudi N, Fontaine M (2013) Prediction of tool deflection and tool path compensation in ball-end milling. J Intell Manuf 17:3. https://doi.org/10.1007/s10845-013-0800-8

    Article  Google Scholar 

  8. Onozuka H, Utsumi K, Kono I, Hirai J, Numata Y, Obikawa T (2015) High speed milling processes with long oblique cutting edges. J Manuf Process 17:95–101. https://doi.org/10.1016/j.jmapro.2015.06.004

    Article  Google Scholar 

  9. Dikshit MK, Puri AB, Maity A (2017) Analysis of cutting force coefficients in high-speed ball end milling at varying rotational speeds. Mach Sci Technol 21(3):416–435. https://doi.org/10.1080/10910344.2017.1284562

    Article  Google Scholar 

  10. Mikó B, Beňo J (2014) Effect of the working diameter to the surface quality in free-form surface milling (Conference Paper). Key Eng Mater 581:372–377. https://doi.org/10.4028/www.scientific.net/KEM.581.372

    Article  Google Scholar 

  11. Tsai C-L, Liao Y-S (2008) Prediction of cutting forces in ball-end milling by means of geometric analysis. J Mater Process Technol 205:24–33. https://doi.org/10.1016/j.jmatprotec.2007.11.083

    Article  Google Scholar 

  12. Guillemot N, Mawussi BK, Lartigue C et al (2013) A first approach to characterize the surface integrity generated by ball-end finishing milling. Int J Adv Manuf Technol 64(1–4). https://doi.org/10.1007/s00170-012-4017-3

    Article  Google Scholar 

  13. Cao Q, Xue D, Zhao J et al (2011) A cutting force model considering influence of radius of curvature for sculptured surface machining. Int J Adv Manuf Technol 54:821–835. https://doi.org/10.1007/s00170-016-9273-1

    Article  Google Scholar 

  14. Cao QY, Zhao J, Zhu LH (2016) The effect of curvature radius of sculptured surface on finish milling tool path selection. Int J Adv Manuf Technol 89(9–12). https://doi.org/10.1007/s00170-016-9273-1

    Article  Google Scholar 

  15. Wojciechowski S (2014) The estimation of cutting forces and specific force coefficients during finishing ball end milling of inclined surfaces. Int J Mach Tools Manuf 89. https://doi.org/10.1016/j.ijmachtools.2014.10.006

    Article  Google Scholar 

  16. Zhang XF, Xie J, Xie HF et al (2011) Experimental investigation on various tool path strategies influencing surface quality and form accuracy of CNC milled complex freeform surface. Int J Adv Manuf Technol 59(5):647–654. https://doi.org/10.1007/s00170-011-3515-z

    Article  Google Scholar 

  17. Quinsat Y, Sabourin L (2006) Optimal selection of machining direction for three-axis milling of sculptured parts. Int J Adv Manuf Technol 27(11):1132–1139. https://doi.org/10.1007/s00170-004-2297-y

    Article  Google Scholar 

  18. Fu Z, Yang W, Wang X, Leopold J (2015) An analytical force model for ball-end milling based on a predictive machining theory considering cutter runout. Int J Adv Manuf Technol 84(9–12). https://doi.org/10.1007/s00170-015-7888-2

    Article  Google Scholar 

  19. Kasahara K, Ohtaka K, Ito S, Hirota A (2014) Influence of tool tilting angles on cutting forces and tool deflection in ball end milling (3rd Report). J Jpn Soc Precis Eng 80(2):209–213. https://doi.org/10.2493/jjspe.80.209

    Article  Google Scholar 

  20. Vyboishchik A (2016) Modelling topology of freeform surfaces with ball-end milling. Proc Eng 150:761–767. https://doi.org/10.1016/j.proeng.2016.07.103

    Article  Google Scholar 

  21. Vyboishchik A (2017) The influence of dynamical parameters on surface quality during ball-end milling. Proc Eng 206:1029–1033. https://doi.org/10.1016/j.proeng.2017.10.589

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. South Urals State University, 76, Lenin Ave, Chelyabinsk, 454080, Russia

    A. V. Vyboishchik

Authors
  1. A. V. Vyboishchik
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. V. Vyboishchik .

Editor information

Editors and Affiliations

  1. South Ural State University, Chelyabinsk, Russia

    Andrey A. Radionov

  2. Platov South-Russian State Polytechnic University, Novocherkassk, Russia

    Oleg A. Kravchenko

  3. South Ural State University, Chelyabinsk, Russia

    Victor I. Guzeev

  4. South Ural State University, Chelyabinsk, Russia

    Yurij V. Rozhdestvenskiy

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Vyboishchik, A.V. (2019). Modelling of Cutting Forces in Ball-End Milling. In: Radionov, A., Kravchenko, O., Guzeev, V., Rozhdestvenskiy, Y. (eds) Proceedings of the 4th International Conference on Industrial Engineering. ICIE 2018. Lecture Notes in Mechanical Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-95630-5_119

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-95630-5_119

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-95629-9

  • Online ISBN: 978-3-319-95630-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation