Skip to main content
Log in

Research of the spindle overhang and bearing span on the system milling stability

  • Original
  • Published:
Archive of Applied Mechanics Aims and scope Submit manuscript

Abstract

The effects of spindle overhang and bearing span on the frequency responses and go further contributions on stability of the spindle milling system are investigated in this paper. The transfer functions at the spindle nose are determined by the continuous two-step Timoshenko beam model, which validity is verified by the finite element method. It is found that the first spindle mode is evidently affected by the spindle overhang and has the most important influences on stability of the spindle milling system in this paper, whereas the bearing span mainly alters the spindle’s second mode in changing the vibration properties and stability of the system. These results can be considered in the spindle designing to help decreasing frequency amplitudes at spindle nose and improving milling stability in machining processes.

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.

Similar content being viewed by others

References

  1. Tobias S.A., Fishwick W.: A Theory of Regenerative Chatter. The Engineer, London (1958)

    Google Scholar 

  2. Tlusty J., Polacek M.: The stability of machine tools against self-excited vibrations in machining. ASME Int. Res. Produc. Eng. 1, 465–474 (1963)

    Google Scholar 

  3. Merritt H.E.: Theory of self-excited machine tool chatter. ASME J. Eng. Indus. 87, 447–454 (1965)

    Google Scholar 

  4. Sridhar R., Hohn R.E., Long G.W.: A general formulation of the milling processing equation. ASME J. Eng. Indus. 90, 317–324 (1968)

    Google Scholar 

  5. Sridhar R., Hohn R.E., Long G.W.: A stability algorithm for a general milling processing. ASME J. Eng. Indus. 90, 330–334 (1968)

    Google Scholar 

  6. Tlusty J., Ismail F.: Basic nonlinear linearity in machine chatter. Annals CIRP 30, 21–25 (1981)

    Article  Google Scholar 

  7. Smith S., Tlusty J.: Efficient simulation programs for chatter in milling. Annals CIRP 42, 463–466 (1993)

    Article  Google Scholar 

  8. Minis I., Yanushevsky T.: A new theoretical approach for the prediction of machine tool chatter. ASME J. Eng. Indus. 115, 1–8 (1993)

    Google Scholar 

  9. Minis T., Yanushevsky T., Tembo R., Hocken R.: Analysis of linear and nonlinear chatter in milling. Annals CIRP 39, 459–462 (1990)

    Article  Google Scholar 

  10. Budak, E.: Mechanics and dynamics of milling thin walled structure. Ph.D. Dissertation, Department of Mechanical Engineering. University of British Columbia, Vancouver, Canada (1994)

  11. Altintas Y., Budak E.: Analytical prediction of stability lobes in milling. Annals CIRP 44, 357–362 (1995)

    Article  Google Scholar 

  12. Dilley D.N., Bayly P.V., Whitehead B.T., Calvert S.G.: An analytical study of the effect of process damping on reamer vibration. J. Sound Vibration 280, 997–1015 (2005)

    Article  Google Scholar 

  13. Budak E.: Analytical models for high performance milling. Part II: Process dynamics and stability. Int. J. Mach. Tools Manufacture 46, 1489–1499 (2006)

    Article  Google Scholar 

  14. Kim S.K., Lee S.Y.: Chatter prediction of end milling in a vertical machining center. J. Sound Vibration 241(4), 567–586 (2001)

    Article  Google Scholar 

  15. Weingaertner W.L., Schroeter R.B., Polli M.L., Gomes J.O.: Evaluation of high-speed end-milling dynamic stability through audio signal measurements. J. Mater. Process. Technol. 179, 133–138 (2006)

    Article  Google Scholar 

  16. Weck M., Hennes N., Krell M.: Spindle and toolsystems with high damping. Annals CIRP 48(1), 297–302 (1999)

    Article  Google Scholar 

  17. Xiong G.L., Yi J.M., Zeng C., Guo H.K., Li L.X.: Study of the gyroscopic effect of the spindle on the stability characteristics of the milling system. J. Mater. Process. Technol. 138, 379–384 (2003)

    Article  Google Scholar 

  18. Ni Z.H.: Vibration Mechanics. The Publishing Company of Xi’an Jiao Tong University, Xi’an (1989)

    Google Scholar 

  19. Lin C.W., Tu J.F., Kamman J.: An integrated thermo-mechanical-dynamic model to characterize motorized machine tool spindles during very high speed rotation. Int. J. Mach. Tools Manufacture. 43, 1035–1050 (2003)

    Article  Google Scholar 

  20. Zhu J.H., Weng S.X., Jiang S.Y.: Calculation and analysis of critical speed characteristics of high frequency motorized spindle. Mach. Design Res. 21, 28–30 (2005)

    Google Scholar 

  21. Gao S.H., Meng G., Long X.H.: Stability prediction in high speed milling including the thermal preload effects of bearing, Proceedings of the Institution of Mechanical Engineers, Part E. J. Process Mech. Eng. 224, 11–22 (2010)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. Meng.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gao, S.H., Meng, G. Research of the spindle overhang and bearing span on the system milling stability. Arch Appl Mech 81, 1473–1486 (2011). https://doi.org/10.1007/s00419-010-0498-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00419-010-0498-4

Keywords

Navigation