Skip to main content
Log in

Cartesian compliance model for industrial robots using virtual joints

  • Machine Tool
  • Published:
Production Engineering Aims and scope Submit manuscript

Abstract

Industrial robots represent a promising, cost-saving and flexible alternative for machining applications. Due to the kinematics of a vertical articulated robot the system behavior is quite different compared to a conventional machine tool. The robot’s stiffness is not only much smaller but also position dependent in a non-linear way. This article describes the modeling of the robot structure and the identification of its parameters with focus on the analysis of the system’s stiffness. Therefore a method for the calculation of the Cartesian stiffness based on the polar stiffness and the use of the Jacobian matrix is introduced. Furthermore, so called virtual joints are used. With this method it is possible to model each joint of the robot with three degrees of freedom. Beside the gear stiffness the method allows the consideration of the tilting rigidity of the bearing and the link deformations to improve the model accuracy. Based on the results of the parameter identification and the calculation of the Cartesian stiffness the experimental model validation is done.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  1. Abele E, Weigold M, Rothenbücher S (2007) Modeling and identification of an industrial robot for machining applications. Ann CIRP 56(1):387–390

    Article  Google Scholar 

  2. Albu-Schäffer A (2002) Regelung von Robotern mit elastischen Gelenken am Beispiel der DLR-Leichtbauarme. Dissertation, München

  3. Caushi I (1992) Dynamische Einflüsse von Massen- und Steifigkeitsreduktionen auf die Bewegungsgrößen starrer und elastischer Industrieroboter. Dissertation, Wien

  4. Hölzl J (1993) Modellierung, identifikation und simulation der dynamik von industrierobotern. Dissertation, München

  5. Yoshikawa T, Hosoda K (1994) Modeling of flexible manipulators using virtual rigid links and passive joints. Int J Robot Res 15(3):290–299

    Article  Google Scholar 

  6. Yoshikawa T, Matsudera K (1994) Experimental study on modeling of flexible manipulators using virtual joint model. Preprints of the Fourth IFAC Symposium on Robot Control, pp 669–674

  7. Craig JJ (2005) Introduction to robotics: mechanics and control, 3rd edn. Pearson Education, Upper Saddle River

    Google Scholar 

  8. Sciavicco L, Siciliano B (1999) Modelling and control of robot manipulators, 2nd edn. Springer, London

    Google Scholar 

  9. Tsai L-W (1999) Robot analysis: the mechanics of serial and parallel manipulators. Wiley, London

    Google Scholar 

Download references

Acknowledgments

The investigations were part of the research project Advocut. This research project was sponsored by the German Federal Ministry of Education and Research (BMBF) and was supervised by the Research Center Karlsruhe (PTKA).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Eberhard Abele.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abele, E., Rothenbücher, S. & Weigold, M. Cartesian compliance model for industrial robots using virtual joints. Prod. Eng. Res. Devel. 2, 339–343 (2008). https://doi.org/10.1007/s11740-008-0118-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11740-008-0118-0

Keywords

Navigation