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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Kalpakjian, S., Schmid, S.: Manufacturing Engineering and Technology, 5th edn. Pearson Publishing Company, Upper Saddle River (2006)
Choi, B.K., Kim, B.H., Jerard, R.B.: Sculptured surface NC machining. In: Handbook of Computer Aided Geometric Design, pp. 543–574 (2002)
Powermill 2014 Delcam PLC, January 2016. www.powermill.com
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)
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
Doughty, S.: Mechanics of Machines. Wiley, New York (1988)
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)
Kincaid, D., Cheney, W.: Numerical Analysis, 2nd edn. Brooks/Cole Publishing Company, Pacific Grove (1996)
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)
Hermle: Hermle C600 Series Brochure. Hermle, Gosheim (1999)
Alicona G5 InfiniteFocus Alicona Imaging GmbH, August 2016. http://www.alicona.com/products/infinitefocus/
Peters, J.: Geometric continuity. In: Farin, G., Hoschek, J., Kim, M. (eds.) Handbook on Computer Aided Geometric Design. Elsevier, Amsterdam (2002)
Powershape 2014 Delcam PLC, January 2016. www.powershape.com
Guggenheimer, H.W.: Differential Geometry. Dover Publications, New York (1997)
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
Corresponding author
Editor information
Editors and Affiliations
Rights 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)