Skip to main content
SpringerLink
Log in

Dynamic stability of a Hexaglide machine tool for milling processes

  • ORIGINAL ARTICLE
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

One of the major issues related to parallel kinematic machine tools (PKMs) is their structural dependency on their configuration. In this paper, the machine configuration effect on its stability is investigated for the case of a Hexaglide machine tool. An FEM model of the Hexaglide machine tool is developed. The frequency response function (FRF) at the tool tip is obtained by a modal analysis. The numerical results are validated through comparison with those of an experimental modal test. The pose dependency of the PKM stability over its workspace is investigated. It is shown that the machine stability over the workspace is dependent on the spindle/tool/holder system characteristic. For spindle/tool/holder systems with higher stiffness and lower natural frequency, the stability variation is higher. Moreover, it is found that the stability contours can be affected by the entrance and exit cutting angle.

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. Weck M, Staimer D (2002) Parallel kinematic machine tools—current state and future potentials. CIRP Ann Manuf Technol 51(2):671–683

    Article  Google Scholar 

  2. Automation A Renishaw launches a unique new versatile gaging system. Assembly Automation 32(3)

  3. Majou F, Wenger P, Chablat D (2007) The design of parallel kinematic machine tools using kinetostatic performance criteria. arXiv preprint arXiv:0705.1038

  4. Lamikiz A et al (2008) The Denavit and Hartenberg approach applied to evaluate the consequences in the tool tip position of geometrical errors in five-axis milling centres. Int J Adv Manuf Technol 37(1–2):122–139

    Article  Google Scholar 

  5. Tian H et al. (2003) Identifiability of geometric parameters of 6-DOF PKM systems using a minimum set of pose error data. In: Robotics and Automation, 2003. Proceedings ICRA '03. IEEE International Conference on

  6. Salgado M et al (2005) Evaluation of the stiffness chain on the deflection of end-mills under cutting forces. Int J Mach Tools Manuf 45(6):727–739

    Article  Google Scholar 

  7. Clinton CM, Zhang G, Wavering AJ (1997) Stiffness modeling of a Stewart platform based milling machine

  8. Chen J-S, Huang Y-K, Cheng C-C (2004) Mechanical model and contouring analysis of high-speed ball-screw drive systems with compliance effect. Int J Adv Manuf Technol 24(3–4):241–250

    Google Scholar 

  9. Chen J-S, Hsu W-Y (2004) Design and analysis of a tripod machine tool with an integrated Cartesian guiding and metrology mechanism. Precis Eng 28(1):46–57

    Article  Google Scholar 

  10. Brecher C et al (2015) Optimal process parameters for parallel turning operations on shared cutting surfaces. Int J Mach Tools Manuf 95:13–19

    Article  Google Scholar 

  11. Zhou Z, Xi J, Mechefske CK (2006) Modeling of a fully flexible 3PRS manipulator for vibration analysis. J Mech Des 128(2):403–412

    Article  Google Scholar 

  12. Hardage DS, Wiens GJ (1999) Modal analysis and modeling of a parallel kinematic machine. In: ASME Manufacturing Engineering Division

  13. Wiens GJ, Hardage DS (2006) Structural dynamics and system identification of parallel kinematic machines. In: Proceedings of IDETC/CIE 2006 ASME International Design Engineering Technical Conference

  14. Palmieri G et al (2014) Configuration-dependent modal analysis of a Cartesian parallel kinematics manipulator: numerical modeling and experimental validation. Meccanica 49(4):961–972

    Article  MATH  Google Scholar 

  15. Pedrammehr S et al (2014) Forced vibration analysis of milling machine’s hexapod table under machining forces. Strojniški vestnik-J Mech Eng 60(3):158–171

    Article  Google Scholar 

  16. Cheng K (2008) Machining dynamics: fundamentals, applications and practices. Springer Science & Business Media

  17. Shabana A, Thomas B (1987) Chatter vibration of flexible multibody machine tool mechanisms. Mech Mach Theory 22(4):359–369

    Article  Google Scholar 

  18. Hong D et al (2003) Analysis of machining stability for a parallel machine tool. Mech Based Des Struct Mach 31(4):509–528

    Article  Google Scholar 

  19. Henninger C, Eberhard P (2007) An investigation of pose-dependent regenerative chatter for a parallel kinematic milling machine. In: Proceedings of the 12th IFToMM World Congress, Besancon

  20. Henninger C, Eberhard P (2009) Computation of stability diagrams for milling processes with parallel kinematic machine tools. Proc Inst Mech Eng Part I J Syst Control Eng 223(1):117–129

    Article  Google Scholar 

  21. Lamikiz A et al (2005) Calculation of the specific cutting coefficients and geometrical aspects in sculptured surface machining. Mach Sci Technol 9(3):411–436

    Article  Google Scholar 

  22. Uriarte L et al (2008) Mechanistic modelling of the micro end milling operation. Proc Inst Mech Eng B J Eng Manuf 222(1):23–33

    Article  Google Scholar 

  23. Olvera D et al (2012) Analysis of the tool tip radial stiffness of turn-milling centers. Int J Adv Manuf Technol 60(9–12):883–891

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centre of Excellence in Design, Robotics and Automation (CEDRA), School of Mechanical Engineering, Sharif University of Technology, Tehran, Iran

    A. Najafi, M. R. Movahhedy, H. Zohoor & A. Alasty

Authors
  1. A. Najafi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. R. Movahhedy
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. Zohoor
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. Alasty
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Najafi.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Najafi, A., Movahhedy, M.R., Zohoor, H. et al. Dynamic stability of a Hexaglide machine tool for milling processes. Int J Adv Manuf Technol 86, 1753–1762 (2016). https://doi.org/10.1007/s00170-015-8331-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-015-8331-4

Keywords

Search

Navigation