Skip to main content
SpringerLink
Log in

Generation method for five-axis NC spiral tool path based on parametric surface mapping

  • Published:
Journal of Systems Science and Complexity Aims and scope Submit manuscript

Abstract

A new spiral tool path generation algorithm for 5-axis high speed machining is proposed in this paper. Firstly, the voltage contours are calculated to satisfy the machining parameters in the mapping parametric domain by means of the electrostatic field model of partial differential equations. Secondly, the mapping rules are constructed and the machining trajectory is planned out in the standard parametric domain in order to map and generate the spiral trajectory in the corresponding parametric domain. Finally, this trajectory is mapped onto the parametric surface for the obtainment of the spiral tool path. This spiral tool path can realize the machining of complicated parametric surface and trimmed surface without tool retractions. The above-mentioned algorithm has been implemented in several simulations and validated successfully through the actual machining of a complicated cavity. The results indicate that this method is superior to the existing machining methods to realize the high speed machining of the complicate-shaped cavity based on parametric surface and trimmed surface.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Xu J T, Liu W J, and Bian H Y, Constant scallop tool path for triangular surface machining, Journal of Mechanical Engineering, 2011, 46(11): 193–198.

    Article  Google Scholar 

  2. Ren F, Sun Y W, and Guo D M, Combined reparameteriza tion-based spiral toolpath, International Journal of Advanced Manufacturing Technology, 2009, 40(7–8): 760–768.

    Article  Google Scholar 

  3. Sun Y W, Guo D M, Jia Z Y, and Wang H X, Iso-parametric tool path generation from triangular meshes for free-form surface machining, International Journal of Advanced Manufacturing Technology, 2006, 28(7–8): 721–726.

    Google Scholar 

  4. Xu J T, Sun YW, and Zhang X K, A mapping-based spiral cutting strategy for pocket machining, International Journal of Advanced Manufacturing Technology, 2013, 67(9–12): 2489–2500.

    Article  Google Scholar 

  5. Zhu H, Liu Z J, and Fu J H, Spiral tool-path generation with constant scallop height for sheet metal NC incremental forming, International Journal of Advanced Manufacturing Technology, 2011, 54(9–12): 911–919.

    Article  Google Scholar 

  6. Li M, Zhang L C, and Mo J H, Tool-path generation for sheet metal incremental forming based on STL model with defects, International Journal of Advanced Manufacturing Technology, 2012, 63(5–8): 535–547.

    Article  Google Scholar 

  7. Lu B, Chen J, and Ou H, Feature-based tool path generation approach for incremental sheet forming process, Journal of Materials Processing Technology, 2013, 213(7): 1221–1233.

    Article  Google Scholar 

  8. Xu J T, Liu WJ, and Qiu X J, Isoparametric and spiral toolpath for free-form surfaces machining, Journal of Mechanical Engineering, 2010, 46(3): 148–151.

    Article  Google Scholar 

  9. Chen L, Yu D, and Sun Y, Smooth spiral cutting operation strategy for high speed machining, International Conference on Computer Science and Electronics Engineering, 2012, 3: 652–655.

    Google Scholar 

  10. Pateloup V, Duc E, and Ray P, B-spline approximation of circle arc and straight line for pocket machining, Computer-Aided Design, 2010, 42(9): 817–827.

    Article  Google Scholar 

  11. Eungki L, Contour offset approach to spiral toolpath generation with constant scallop height, Computer-Aided Design, 2003, 35: 511–518.

    Article  Google Scholar 

  12. Bieterman M and Sandsterom D R, A curvilinear tool-path method for pocket machining, Journal of Manufacturing Science and Engineering, 2003, 125(4): 709–715.

    Article  Google Scholar 

  13. Banerjee A, Feng H Y, and Bordatchev E V, Process planning for floor machining of 21/2 D pockets based on a morphed spiral tool path pattern, Computers & Industrial Engineering, 2012, 63(4): 971–979.

    Article  Google Scholar 

  14. Held M and Spielberger C, A smooth spiral tool path for high speed machining of 2D pockets, Computer-Aided Design, 2009, 41(7): 539–550.

    Article  Google Scholar 

  15. Liu Y J and Li H B, B-spline patches and transfinite interpolation method for PDE controlled simulation, Journal of Systems Science and Complexity, 2012, 25(2): 348–361.

    Article  MathSciNet  Google Scholar 

  16. Ji J F, Zhou L S, and An L L, On tool path planning for NC machining of a free-form blade surface, Mechanical Science and Technology for Aerospace Engineering, 2008, 27(5): 652–656.

    Google Scholar 

  17. Huo Y, Tool path planning for 5-axis NC machining based on iso-scallop method, Master’s degree thesis, Northwestern Polytechnical University, Xi’an, 2005.

    Google Scholar 

  18. Fan H Z and Xi G, Algorithm investigation for numerical control end milling of centrifugal impeller channels, Journal of Mechanical Engineering, 2011, 47(11): 148–154.

    Article  Google Scholar 

  19. Niu W T, Hu D J, and Xu Y S, An algorithm of equal chord deviation fitting in NC contour machining for an analytical formulation given curve, Manufacturing Automation, 2001, 23(9): 7–10.

    Google Scholar 

  20. Zhou B, Zhao J B, and Liu W J, A processing calculation method of 5-axis NC spiral trajectory based on parametric surface mapping, Journal of Mechanical Engineering, 2013, 49(5): 100–109.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Shenyang Institute of Automation, Graduate University of the Chinese Academy of Sciences, Shenyang, 110016, China

    Bo Zhou

  2. Shenyang Institute of Automation, Shenyang, 110016, China

    Jibin Zhao, Weijun Liu & Lun Li

Authors
  1. Bo Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jibin Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Weijun Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Lun Li
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Bo Zhou.

Additional information

This research was supported by the National Program on Key Basic Research Project of China (973 Program) under Grant No. 2011CB302400 and the National Natural Science Foundation of China (NSFC) under Grant Nos. 50975274 and 51175479.

This paper was recommended for publication by Guest Editor LI Hongbo.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhou, B., Zhao, J., Liu, W. et al. Generation method for five-axis NC spiral tool path based on parametric surface mapping. J Syst Sci Complex 26, 676–694 (2013). https://doi.org/10.1007/s11424-013-3174-2

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11424-013-3174-2

Keywords

Search

Navigation