Skip to main content
Log in

Kinematic calibration of gantry hybrid machine tool based on estimation error and local measurement information

  • Original Article
  • Published:
The International Journal of Advanced Manufacturing Technology Aims and scope Submit manuscript

Abstract

This paper presents the kinematic calibration of a four degrees-of-freedom (DOF) hybrid machine tool based on a novel planar 3-DOFs parallel mechanism and a long movement of the worktable. Closed-form solutions are developed for both the inverse and direct kinematics about the parallel mechanism. The error model is built and the mechanism accuracy is investigated. Two types of kinematic calibration method are proposed by a simple measurement device. The first type of calibration method is based on estimation error, and can easy improve the machine tool accuracy quickly by estimating the error trends. The second type of kinematic calibration method is based on local measurement information, which includes the position errors and does not include the pose errors of the machine tool. The calibration tests showed the effectiveness of the calibration methods, which can be useful for the similar types of parallel machine tool.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Cleary K, Brooks T, Hughes SR (1993) Kinematics analysis of a novel 6-DOFs parallel manipulator. Proceedings of the IEEE International Conference on Robotics and Automation, San Antonio, TX, pp 708–713

  2. Salcudean SE, Drexel PA, Ben-Dov D, Tayor AJ, Lawrence PD (1994) A six degree-of-freedom, hydraulic, one person motion simulator. Proceedings of the IEEE International Conference on Robotics and Automation, San Diego, CA, pp 2437–2443

  3. Kerr DR (1989) Analysis, properties and design of Stewart platform transducer. J Mech Transm Autom Des Trans ASME 111:25–28

    Google Scholar 

  4. Reboulet C, Pigeyre R (1990) Hybrid control of a 6-DOFs in-parallel actuated micro-manipulator mounted on a Scara robot. Proceedings of the 3rd International Symposium on Robotics and Manufacturing: Research, Education, and Applications - ISRAM ’90, Burnaby, BC, Canada, 18–20 July 1990, pp 293–298

    Google Scholar 

  5. Cox DJ, Tesar D (1981) The dynamic modeling and command signal formulation for parallel multi-parameter robotic devices. Intern Rep CIMAR Univ Florida

  6. Stewart D (1965) A platform with six degree of freedom. Proc Inst Mech Eng, pp 371–386

  7. Moriwaki T (1999) Survey of R&D activities related to parallel mechanisms in Japan. In: Boer CR, Molinari-Tosatti L, Smith KS (eds) Parallel Kinematic Machines. Springer, Berlin Heidelberg New York, pp 431–440

  8. Siciliano B (1999) The tricept robot: inverse kinematics, manipulability analysis and closed-loop direct kinematics algorithm. Robotica 17(4):437–445

    Article  Google Scholar 

  9. Tonshoff HK, Grendel H, Kaak R (1999) Structure and characteristics of the hybrid manipulator Georg V. In: Boer CR, Molinari-Tosatti L, Smith KS (eds) Parallel kinematic machines. Springer, Berlin Heidelberg New York, pp 365–376

  10. Tsai L (1997) Multi-degree-of-freedom mechanisms for machine tools and the like. US Patent 5,656,905, 12 Aug 1997

  11. Zhuang H, Yan J, Masory O (1998) Calibration of Stewart platforms and other parallel manipulator by minimizing inverse kinematics residuals. J Robot Syst 15(7):395–405

    Article  Google Scholar 

  12. Nahvi A, Hollerbach JM, Hayward V (1994) Calibration of parallel robot using multiple kinematic closed loops. Proceedings of the IEEE International Conference on Robotics and Automation, San Diego, CA, 8–13 May 1994, pp 407–412

  13. Maurine P, Dombre E (1996) A calibration procedure for the parallel robot delta 4. Proceedings of the IEEE International Conference on Robotics and Automation Minneapolis, MN, 24–26 April 1996, pp 975–980

  14. Zhuang H (1997) Self-calibration of parallel mechanisms with a case study on Stewart platforms. IEEE Trans Robot Autom 13(3):387–397

    Article  Google Scholar 

  15. Wampler CW, Hollerbach JM, Arai T (1995) An implicit loop method for kinematic calibration and its application to closed-chain mechanisms. IEEE Trans Robot Autom 11(5):710–724

    Article  Google Scholar 

  16. Khalil W, Besnard S (1999) Self calibration of Stewart-Gough parallel robots without extra sensors. IEEE Trans Robot Autom 15(6):1116–1121

    Article  Google Scholar 

  17. Rauf A, Ryu J (2001) Fully autonomous calibration of parallel manipulators by imposing position constraint. Proceedings of the IEEE International Conference on Robotics and Automation, Seoul, Korea, 21–26 May 2001, pp 2389–2394

  18. Wang J, Duan G, Tang X (2002) Type of parallel machine tools frame driven by slider and extensible strut. US Patent 6,402,444, 11 June 2002

  19. Wang J, Tang X (2003) Analysis and dimensional design of a novel hybrid machine tool. Int J Mach Tools Manuf 43(7):647–655

    Article  Google Scholar 

  20. Grosselin C, Angels J(1991) A global performance index for the kinematic optimization of robotic manipulators. ASME J Mech Des 113(3):220–226

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xiaoqiang Tang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tang, X., Wang, J. & Gao, M. Kinematic calibration of gantry hybrid machine tool based on estimation error and local measurement information. Int J Adv Manuf Technol 26, 382–390 (2005). https://doi.org/10.1007/s00170-003-1999-x

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00170-003-1999-x

Keywords

Navigation