Skip to main content

Abstract

This paper presents an analysis of chatter vibration in ball end milling of curved surfaces using time domain approach. A model for dynamic cutting process, which takes into consideration the variation of helix angle of the ball end mill along the cutting edge, is developed. The vibration of the tool is calculated by using a lumped-parameter model with two degrees of freedom. The chatter stability limit is indicated by the critical nominal depth of cut. The results show that chatter stability is very low for low spindle speeds. Also, the stability is lower for low and high milling position angles, and higher for intermediate milling position angles.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Abrari F., Elbestawi M.A., Spence A.D. On the dynamics of ball end milling: Cutting forces and stability analysis. Int J Mach Tools Manufact 1998; 38:215–37

    Article  Google Scholar 

  2. Altintas Y., Shamoto E., Lee P., Budak E. Analytical prediction of stability lobes in ball end milling. Trans ASME J Manufact Sci Eng 1999; 121:586–92

    Google Scholar 

  3. Koenigsberger F., Tlusty J. “Theory of chatter stability analysis.” In Machine Tool Structures Vol. 1. Pergamon Press, 1970.

    Google Scholar 

  4. Merritt H.E. Theory of self-excited machine-tool chatter. Trans ASME J Eng Ind 1965; 87:447–54

    Google Scholar 

  5. Smith S., Tlusty J. Efficient simulation programs for chatter in milling. Annals CIRP 1993; 42:463–6

    Google Scholar 

  6. Tanaka H., Obata F., Ikua B.W., Sakamoto S., Ashimori M. Cutting forces and machining error in ball end milling of inclined flat surfaces. Int J Japan Soc Prec Eng 1999; 33:319–25

    Google Scholar 

  7. Tlusty J., Ismail F. Basic Non-linearity in machining chatter. Annals CIRP 1981; 30:299–305

    Article  Google Scholar 

  8. Tsai M.D., Takata S., Inui M., Kimura F., Sata T. Prediction of chatter vibration by means of a model-based cutting simulation system. Annals CIRP 1990; 39:447–50

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Kluwer Academic Publishers

About this chapter

Cite this chapter

Ikua, B.W., Tanaka, H., Obata, F., Sakamoto, S. (2002). Regenerative Chatter Vibration in Ball End Milling of Curved Surfaces. In: Inasaki, I. (eds) Initiatives of Precision Engineering at the Beginning of a Millennium. Springer, Boston, MA. https://doi.org/10.1007/0-306-47000-4_36

Download citation

  • DOI: https://doi.org/10.1007/0-306-47000-4_36

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-7923-7414-5

  • Online ISBN: 978-0-306-47000-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics