Skip to main content
SpringerLink
Log in

Tool orientation planning for five-axis CNC machining of open free-form surfaces

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

Abstract

For the geometry characteristics of open free-form surfaces, it is hard to consider global interference during the planning of feasible domains. Therefore, the optimal kinematic orientation of tool axis will no longer be confined to the boundary of feasible domains. In this paper, according to the principle demanding that the tool should be fitted to a surface as close as possible and relevant processing parameters, a feasible domain of tool orientation for each cutter contact is planned in the local feed coordinates system. Then, these feasible domains of the tool orientation are transformed into the same coordinates system of the machine tool by the inverse kinematics transformation. The linear equations based feasible domain method and Rosen gradient projection algorithm are used to improve the optimization process in precision and efficiency of the algorithm. It constructs the variation of tool orientation optimization model and ensures the smoothness of tool orientation globally. Simulation and analysis of examples show that the proposed method has good kinematics performance and greatly improves the efficiency.

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. Wang A l, Li M Q, and Feng Y Q, CNC Machining Theory and Practical Techniques, China Machine Press, Beijing, 2009.

    Google Scholar 

  2. Liu W J and Sun Y W, Reverse-Engineering Principles, China Machine Press, Beijing, 2008.

    Google Scholar 

  3. Sun Y W, Guo D M, and Jia Z Y, Iso-parametric tool path generation from triangular meshes for freeform surface machining, The International Journal of Advanced Manufacturing Technology, 2006, 28: 721–726.

    Article  Google Scholar 

  4. Ho M C, Hwang Y R, and Hu C H, Five-axis tool orientation smoothing using quaternion interpolation algorithm, International Journal of Machine Tools and Manufacture, 2003, 43(12): 1259–1267.

    Article  Google Scholar 

  5. Beudaert X, et al., 5-Axis tool path smoothing based on drive constraints, International Journal of Machine Tools and Manufacture, 2011, 51(12): 958–965.

    Article  Google Scholar 

  6. Jun C S, Cha K, and Lee Y S, Optimizing tool orientations for 5-axis machining by configuration-space search method, Computer-Aided Design, 2003, 35(6): 549–566.

    Article  Google Scholar 

  7. Wang N and Tang K, Automatic generation of gouge-free and angular-velocity-compliant five-axis tool path, Computer Aided Design, 2007, 39(10): 841–852.

    Article  MathSciNet  Google Scholar 

  8. Yan R, Peng F Y, and Li B, Tool-posture optimization and stiffness index analysis for multi-axis NC machine tools, China Mechanical Engineering, 2008, 19(22): 2699–2702.

    Google Scholar 

  9. Li Y L and Zhang Y F, Generating tool-path with smooth posture change for five-axis sculptured surface machining based on cutters accessibility map, International Journal of Machine Tools and Manufacture, 2011, 53: 699–709.

    Google Scholar 

  10. Castagnetti C and Ray P, The domain of admissible orientation concept: A new method for five-axis tool path optimization, Computer, 2008, 40(9): 938–950.

    Google Scholar 

  11. Bi Q Z, Wang Y H, Zhu L M, et al., Wholly smoothing cutter orientations for five-axis NC machining based on cutter contact point mesh, Sci. China Tech. Sci., 2010, 53: 1294–1303.

    Article  MATH  Google Scholar 

  12. Zheng X, Li J P, and Tang Z Y, Nonlinear Optimization, NUDT Publish House, Chashang, 2003.

    Google Scholar 

  13. Du D Z and Zhang X S, On a new gradient projection method, Journal of Systems Science and Complexity, 1989, 2(2): 184–192.

    MathSciNet  MATH  Google Scholar 

  14. Ding H and Zhu L M, Geometric Theories and Method for Digital Manufacturing of Complex Surfaces, Science Press, Beijing, 2011.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Shenyang Institute of Automation, Chinese Academy of Sciences, Liaoning, 110016, China

    Jibin Zhao, Bo Zhong & Qiang Zou

  2. University of Chinese Academy of Sciences, Beijing, 100049, China

    Qiang Zou

  3. School of Electromechanical Engineering, Shenyang Aerospace University, Liaoning, 110136, China

    Hongjun Liu

Authors
  1. Jibin Zhao
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Bo Zhong
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Qiang Zou
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Hongjun Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Bo Zhong.

Additional information

This research was supported by the National Key Basic Research Project of China under Grant No. 2011CB302400 and the National Natural Science Foundation of China under Grant Nos. 50975274 and 50975495.

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

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhao, J., Zhong, B., Zou, Q. et al. Tool orientation planning for five-axis CNC machining of open free-form surfaces. J Syst Sci Complex 26, 667–675 (2013). https://doi.org/10.1007/s11424-013-3173-3

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11424-013-3173-3

Keywords

Search

Navigation