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A cutting force model considering influence of radius of curvature for sculptured surface machining

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Abstract

A new cutting force model considering influence of radius of curvature is introduced in this research for sculptured surface machining with ball-end mill. In this model, first the whole cutting region near the cutter contact (CC) point on the sculptured surface is approximated by a spherical surface, and the radius of this spherical surface is used as the radius of curvature at the CC point. Then equations to estimate the cutting forces at a differential element on the cutting edge are established. By obtaining the cutter-workpiece contact areas based on geometries of the cutter and the sculptured surface, the mathematical model for estimating the total cutting forces in different directions is then developed. Experiments have also been conducted to measure the cutting forces considering different radii of curvatures on the sculptured surfaces. The analytically estimated cutting forces match well with the actual cutting forces obtained through experiments.

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References

  1. Budak E (2008) Dynamic analysis and control. In: Cheng K (ed) Machining dynamics—fundamentals, applications and practices. Springer, London

    Google Scholar 

  2. Feng HY, Menq CH (1994) The prediction of cutting forces in the ball-end milling process. 1. Model formulation and model-building procedure. Int J Mach Tools Manuf 34(5):697–710

    Article  Google Scholar 

  3. Feng HY, Menq CH (1994) The prediction of cutting forces in the ball-end milling process. 2. Cutting geometry analysis and model verification. Int J Mach Tools Manuf 34(5):711–719

    Article  Google Scholar 

  4. Fussell BK, Jerard RB, Hemmett JG (2003) Modeling of cutting geometry and forces for 5-axis sculptured surface machining. Comput Aided Des 35(4):333–346

    Article  Google Scholar 

  5. Gradisek J, Kalveram M, Weinert K (2004) Mechanistic identification of specific force coefficients for a general end mill. Int J Mach Tools Manuf 44(4):401–414

    Article  Google Scholar 

  6. Guzel BU, Lazoglu I (2004) An enhanced force model for sculptured surface machining. Machining Sci Technol 8(3):431–448

    Article  Google Scholar 

  7. Hosoi T (1977) Cutting action of ball end mill with a spiral edge. Ann CIRP 25(1):49–53

    Google Scholar 

  8. Ikua BW, Tanaka H, Obata F, Sakamoto S (2001) Prediction of cutting forces and machining error in ball end milling of curved surfaces—I: Theoretical analysis, Precision Engineering. J Int Soc Precision Eng Nanotechnol 25(4):266–273

    Google Scholar 

  9. Ikua BW, Tanaka H, Obata F, Sakamoto S, Kishi T, Ishii T (2002) Prediction of cutting forces and machining error in ball end milling of curved surfaces—II: Experimental verification, Precision Engineering. J Int Soc Precision Eng Nanotechnol 26(1):69–82

    Google Scholar 

  10. Kim GM, Chu CN (2004) Mean cutting force prediction in ball-end milling using force map method. J Mater Process Technol 146(3):303–310

    Article  Google Scholar 

  11. 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 

  12. Lamikiz A, de Lacalle LNL, Sanchez JA, Salgado MA (2004) Cutting force estimation in sculptured surface milling. Int J Mach Tools Manuf 44(14):1511–1526

    Article  Google Scholar 

  13. Lazoglu I (2003) Sculptured surface machining: a generalized model of ball-end milling force system. Int J Mach Tools Manuf 43(5):453–462

    Article  Google Scholar 

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

    Article  Google Scholar 

  15. Lee TS, Lin YJ (2000) A 3D predictive cutting-force model for end milling of parts having sculptured surfaces. Int J Adv Manuf Technol 16(11):773–783

    Article  Google Scholar 

  16. Li SJ, Zhou YF, Jin RC, Ji Z (2001) Dynamic force modelling for a ball-end milling cutter based on the merchant oblique cutting theory. Int J Adv Manuf Technol 17:477–483

    Article  Google Scholar 

  17. Liu XW, Cheng K, Longstaff AP, Widiyarto MH, Ford D (2005) Improved dynamic cutting force model in ball-end milling Part I: theoretical modelling and experimental calibration. Int J Adv Manuf Technol 26(5):457–465

    Article  Google Scholar 

  18. Riviere-Lorphevre E, Filippi E (2009) Mechanistic cutting force model parameters evaluation in milling taking cutter radial runout into account. Int J Adv Manuf Technol 45(1–2):8–15

    Article  Google Scholar 

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

    Article  Google Scholar 

  20. Subrahmanyam KVR, San WY, Soon HG, Sheng H (2010) Cutting force prediction for ball nose milling of inclined surface. Int J Adv Manuf Technol 48(1–4):23–32

    Article  Google Scholar 

  21. Tai CC, Fuh KH (1994) A predictive force model in ball-end milling including eccentricity effects. Int J Mach Tools Manuf 34(7):959–979

    Article  Google Scholar 

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Authors and Affiliations

  1. School of Mechanical Engineering, Shandong University, Jinan, 250061, China

    Qingyuan Cao, Jun Zhao & Yueen Li

  2. Department of Mechanical and Manufacturing Engineering, University of Calgary, Calgary, T2N 1N4, Canada

    Qingyuan Cao & Deyi Xue

Authors
  1. Qingyuan Cao
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  2. Deyi Xue
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  3. Jun Zhao
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  4. Yueen Li
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Correspondence to Qingyuan Cao.

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Cao, Q., Xue, D., Zhao, J. et al. A cutting force model considering influence of radius of curvature for sculptured surface machining. Int J Adv Manuf Technol 54, 821–835 (2011). https://doi.org/10.1007/s00170-010-2980-0

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  • DOI: https://doi.org/10.1007/s00170-010-2980-0

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