Effects of tool deflection in the high-speed milling of inclined surfaces

  • L.N. López de LacalleEmail author
  • A. Lamikiz
  • J.A. Sánchez
  • M.A. Salgado
Original Article


The present paper looks at the dimensional errors resulting from tool deflection in the high-speed milling of hardened steel surfaces. These errors are measured as the difference between the theoretical surface and the high-speed milling machined using ball-end mills.

The effect of various factors on this dimensional error is investigated. First, account was taken of the workpiece material and the slope of surfaces; the values chosen were those normally used in injection mould manufacturing. The workpiece materials were of 30 and 50 HRC hardness, with slopes of 15°, 30°, and 45°. In this manner, results may thus be of utility to the mould and die industry. The selected tools were solid ball end mills of sintered tungsten carbide, coated with TiAIN. These were of various diameters and lengths, and accordingly exhibited various degrees of slenderness. A great value for this latter parameter is a restraint on the potential application of the high-speed milling technique. This is the main reason for this work.

Tests were carried out using three machining strategies, namely, upward, downward, and z-level (horizontal), as well as with two cutting types, downmilling (also called climb milling) and upmilling (or conventional milling). In all cases the resulting roughness was also measured. Dimensional errors in several flat slope planes were measured, comparing with those obtained by simulation.

The results of these tests have been applied to the prediction of error in the high-speed milling of two industrial parts. Knowledge of error magnitude may be useful when NC programs are prepared for the machining of mould complex surfaces, since it may then be attempted to enhance accuracy.

Reference is made to various practical problems that were necessary to resolve in order to achieve measurement errors less than 20 μm in a process as complex as that of high-speed milling in three axes machining centres.


Complex surfaces High-speed machining  Machining errors Moulds  


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  1. 1.
    Nakagawa T, Furuya M (1988) Comparison of EDM and high-speed milling in automotive and mould manufacturing. Ann CIRP 48(1):1–5MathSciNetGoogle Scholar
  2. 2.
    Duc E, Lartigue C, Thiebaut F (1998) A test part for the machining of free-form surfaces, I. Improving Machine Tool Performance Seminar, San Sebastián, Spain, pp 423–435Google Scholar
  3. 3.
    Kang MC, Kim KK, Lee DW, Kim JS, Kim NK (2000) Characterisation of inclined planes according to the variations of cutting direction in high-speed ball-end milling. Int J Adv Manuf Technol 17:323–329CrossRefGoogle Scholar
  4. 4.
    Schulz H (1996) Hochgeschwindigkeits bearbeitung/High Speed Machining. Hanser, MunichGoogle Scholar
  5. 5.
    Aoyama T, Inasaki I (2001) Perfomances of HSK tool interfaces under high rotational speeds. Ann CIRP 50(1):281–284CrossRefGoogle Scholar
  6. 6.
    Taylor G (1996) Choosing toolholders for your machining centre. Modern Machine Shop, www.mmsonline.comGoogle Scholar
  7. 7.
    Hatamura Y, Nagao T, Mitsuishi M, Kato K (1993) Development of an intelligent machining centre incorporating active compensation for thermal distortion. Ann CIRP 42(1):549–552CrossRefGoogle Scholar
  8. 8.
    Altintas Y, Yellowley I (1995) In-process detection of tool failure in milling using cutting force models. ASME J Eng Ind 111:149–157CrossRefGoogle Scholar
  9. 9.
    Feng H, Menq C (1994) The prediction of cutting forces in the ball end milling process. Part 1: Model formulation and model building procedure. Int J Mach Tools Manuf 34(5):697–710CrossRefGoogle Scholar
  10. 10.
    Meng E, Menq C (1997) Integrated planning for precision machining of complex surfaces. Part 1: Cutting-path and feedrate optimisation. Int J Mach Tools Manuf 37(1):61–75CrossRefGoogle Scholar
  11. 11.
    Altintas Y, Lee P (1996) A general mechanics and dynamics model for helical end mills. Ann CIRP 45(1):59–64CrossRefGoogle Scholar
  12. 12.
    Lim M, Feng H-Y (1995) The prediction of dimensional error for sculptured surface productions using the ball-end milling process. Part 1: Chip geometry analysis and cutting force prediction. Int J Mach Tool Manuf 35:1149–1169CrossRefGoogle Scholar
  13. 13.
    Seo T, Cho M-W (1999) Tool trajectory generation based on tool deflection effects in flat-end milling process. KSME Int J 13(10):738–751Google Scholar
  14. 14.
    Bohnet S, Tübingen W (1999) HSC for practical field of applications: requirements and innovation in terms of milling tools. 2nd International German and French HSM conference, Darmstadt, GermanyGoogle Scholar
  15. 15.
    Kops L (1990) Determination of the equivalent diameter of an end mill based on its compliance. Ann CIRP 39(1):93–96CrossRefGoogle Scholar
  16. 16.
    Altintas Y (2000) Manufacturing automation. Cambridge University Press, Cambridge, MAGoogle Scholar
  17. 17.
    Armarego EJA, Deshpande NP (1991) Computerized end-milling force predictions with cutting models allowing for eccentricity and cutter deflections. Ann CIRP 40(1):25–29CrossRefGoogle Scholar
  18. 18.
    Suh SH, Cho JH, Hascoet JY (1996) Incorporation of tool deflection in tool path computation: simulation and analysis. J Manuf Syst 15:190–199CrossRefGoogle Scholar
  19. 19.
    Arnone M (1998) High performance machining. Hanser Gardner, Cincinnati, OHGoogle Scholar
  20. 20.
    Hascoet JY, Lee JJ, Dugas A (2000) Development of a machining simulator for dynamic error analysis, II. Improving Machine Tool Performance Seminar, La Baule, FranceGoogle Scholar
  21. 21.
    Lamikiz A, López de Lacalle LN, Salgado MA (2002) Estimation of cutting forces in the ball end machining of complex surfaces. Intelligent Manufacturing & Automation: Focus on Precision Engineering, DAAAM Symposium, ViennaGoogle Scholar

Copyright information

© Springer-Verlag 2004

Authors and Affiliations

  • L.N. López de Lacalle
    • 1
    Email author
  • A. Lamikiz
    • 1
  • J.A. Sánchez
    • 1
  • M.A. Salgado
    • 1
  1. 1.Department of Mechanical EngineeringUniversity of the Basque Country ESIBilbaoSpain

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