Skip to main content

Machinability of Surfaces via Motion Analysis

  • Conference paper
  • First Online:
Mathematical Methods for Curves and Surfaces (MMCS 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10521))

  • 936 Accesses

Abstract

The machinability of a surface describes its ability to be machined and the factors which affect this. These are independent of any material properties or cutting parameters but instead reflect an ability to replicate a desired tool path motion with sufficient control of the material removal process. Without this control there is a potential for surface defects and costly finishing stages.

Five-axis CNC milling machines are commonly used for machining complex free-form shapes. The processes required to obtain CNC instructions for a machine tool, starting from a target surface, are presented. An overview is first given and later formalised with mathematical methods. Specifically, a moving cutting tool is characterised by a tool path motion. Interpreting the moving cutter in terms of moving machine axes provides a diagnostic tool for detecting machining errors.

Examination of two case studies reveals different types of errors, machine-dependent and machine-independent. The contribution of geometry to machine-independent errors is discussed and related back to the machinability of a surface.

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 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

References

  1. Kalpakjian, S., Schmid, S.: Manufacturing Engineering and Technology, 5th edn. Pearson Publishing Company, Upper Saddle River (2006)

    Google Scholar 

  2. Choi, B.K., Kim, B.H., Jerard, R.B.: Sculptured surface NC machining. In: Handbook of Computer Aided Geometric Design, pp. 543–574 (2002)

    Google Scholar 

  3. Powermill 2014 Delcam PLC, January 2016. www.powermill.com

  4. Lavernhe, S., Quinsat, Y., Lartigue, C.: Model for the prediction of 3D surface topography in 5-axis milling. Int. J. Adv. Manuf. Technol. 51, 915–924 (2010)

    Article  Google Scholar 

  5. Suh, S., Kang, S., Ching, D., Stroud, I.: Theory and Design of CNC Systems. Springer, Heidelberg (2008). doi:10.1007/978-1-84800-336-1

  6. Doughty, S.: Mechanics of Machines. Wiley, New York (1988)

    Google Scholar 

  7. Cripps, R., Cross, B., Hunt, M., Mullineux, G.: Singularities in five-axis machining: cause effect and avoidance. Int. J. Mach. Tools Manuf. 166, 40–51 (2017)

    Article  Google Scholar 

  8. Kincaid, D., Cheney, W.: Numerical Analysis, 2nd edn. Brooks/Cole Publishing Company, Pacific Grove (1996)

    MATH  Google Scholar 

  9. Zlatanov, D., Fenton, R.G., Benhabib, B.: Singularity analysis of mechanisms and robots via a velocity-equation model of the instantaneous kinematics. In: IEEE International Conference on Robotics and Automation (1994)

    Google Scholar 

  10. Hermle: Hermle C600 Series Brochure. Hermle, Gosheim (1999)

    Google Scholar 

  11. Alicona G5 InfiniteFocus Alicona Imaging GmbH, August 2016. http://www.alicona.com/products/infinitefocus/

  12. Peters, J.: Geometric continuity. In: Farin, G., Hoschek, J., Kim, M. (eds.) Handbook on Computer Aided Geometric Design. Elsevier, Amsterdam (2002)

    Google Scholar 

  13. Powershape 2014 Delcam PLC, January 2016. www.powershape.com

  14. Guggenheimer, H.W.: Differential Geometry. Dover Publications, New York (1997)

    MATH  Google Scholar 

Download references

Acknowledgement

The research is supported by the EPSRC research council (EP/L010321/1 and EP/L006316/1). The authors also thank Delcam International PLC for supporting the research presented in this paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Robert J. Cripps .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Cripps, R.J., Cross, B., Mullineux, G., Hunt, M. (2017). Machinability of Surfaces via Motion Analysis. In: Floater, M., Lyche, T., Mazure, ML., Mørken, K., Schumaker, L. (eds) Mathematical Methods for Curves and Surfaces. MMCS 2016. Lecture Notes in Computer Science(), vol 10521. Springer, Cham. https://doi.org/10.1007/978-3-319-67885-6_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-67885-6_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67884-9

  • Online ISBN: 978-3-319-67885-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics