Stability Analysis and Verification of End Milling Process

Conference paper
Part of the Lecture Notes in Electrical Engineering book series (LNEE, volume 293)


Chatter is a self-excited vibration during the cutting process. This condition will increase the wear and the breakage of the cutting tools; the surface roughness of the workpiece become worse, the damage of the machine tool and reduce the material removal rate (MRR). It leads to the relative increasing cost of the working time, materials, energy, etc. In order to avoid the chatter during the milling process, it is necessary to build a chatter stability lobes to forecast the chatter stability. This article focus on the most effective regenerative chatter . Using Floquet Nyquist method (FLN) and convolution milling mode to forecast the chatter stability of the milling process and then knowing the influence of milling parameter on the milling system’s stability. The research shows that there is a consistency of the method in this article, Altintas Zero Order Analytical (ZOA) and Insperger Semi-discretization Method (SDM). If the radial depth of cut and diameter ratio become smaller, it will increase the stability of the milling system.


Chatter Milling Stability 


  1. 1.
    Tobias, S.A., & Fishwick, W. (1958). Theory of regenerative machine tool chatter. Engineering, 205, 199–203.Google Scholar
  2. 2.
    Merritt, H. E. (1965). Theory of self-excited machine tool chatter. Journal of Engineering for Industry, 87, 447–454.CrossRefGoogle Scholar
  3. 3.
    Smith, S., & Tlusty, J. (1990). Update on high speed milling dynamics. ASME Journal of Engineering for Industry, 112, 142–149.CrossRefGoogle Scholar
  4. 4.
    Smith, S., & Tlusty, J. (1992). Stabilizing chatter by automatic spindle speed regulation. Annals of the CIRP, 41(1), 433–436.CrossRefGoogle Scholar
  5. 5.
    Minis, I., Yanushersky, R. (1993). A new theoretical approach for the prediction of machine tool chatter in milling. Journal of Engineering for lndustry, ll5, l–8.Google Scholar
  6. 6.
    Altintas, Y., & Budak, E. (1995). Analytical prediction of stability lobes in milling. Annals of the CIRP, 44, 357–362.CrossRefGoogle Scholar
  7. 7.
    Budak, E., & Altintas, Y. (1998a). Analytical prediction of stability lobes in milling-part i: General formulation. ASME Journal of Engineering for Industry, 120, 22–30.Google Scholar
  8. 8.
    Budak, E., & Altintas, Y. (1998b). Analytical prediction of chatter stability in milling-part ii: application of the general formulation to common milling systems. ASME Journal of Dynamic Systems, Measurement, and Control, 120, 31–36.CrossRefGoogle Scholar
  9. 9.
    Budak, E. (2006). Analytical models for high performance milling part II: Process dynamics and stability. International Journal of Machine Tools & Manufacture, 46, 1489–1499.CrossRefGoogle Scholar
  10. 10.
    Bayly, P. V., Halley, J. E., Mann, B. P. et al. (2001). Stability of interrupted cutting by temporal finite element analysis. Proceedings of the ASME Design Engineering Technical Conference, (vol. 6C, pp. 2361–2370).Google Scholar
  11. 11.
    Insperger, T., & Stepan, G. (2002). Semi-discretization method for delayed systems. International Journal for Numerical Methods in Engineering, 55, 503–518.CrossRefMATHMathSciNetGoogle Scholar
  12. 12.
    Insperger, T., & Stepan, G. (2004). Stability analysis of turning with periodic spindle speed modulation via semi-discretization. Journal of Vibration and Control, 10(12), 1835–1855.CrossRefMATHGoogle Scholar
  13. 13.
    Wang, J. J., Zheng, C. M. & Huang, C.Y. (2003). The effect of harmonic force components on regenerative stability in end milling. ASME/IMECE, November 15–21, Washington, D.C.Google Scholar
  14. 14.
    Wang, J. J., & Liang, S. Y. (1996). Convolution analysis of milling force pulsation. ASME Journal of Engineering for Industry, 116, 17–25.CrossRefGoogle Scholar
  15. 15.
    Rozenvasser, E. N. (1972). Computation and transformation of transfer functions of linear periodic system. Automatic and Remote Control, 33, 220–227.MATHGoogle Scholar
  16. 16.
    Bayly, P.V., Schmitz, T.L., Mann, B.P., Peters, D.A., Stepan, G., & Insperger, T. (2002). Effects of radial immersion and cutting direction on chatter instability in endmilling. Proceedings of IMEC, ASME International Mechanical Engineering Congress & Exposition, November 17–22, New Orleans, Louisiana.Google Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringNational Kaohsiung University of Applied SciencesKaohsiungTaiwan, Republic of China

Personalised recommendations