Skip to main content

Direct and Inverse Kinematic of 3DOF Parallel Mechanism with Singularity Analysis

  • Conference paper
  • First Online:
Advances in Mechanisms Design

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 8))

Abstract

This paper presents the structure and geometry of a new translational parallel mechanism. Relations for the analysis of the direct and inverse kinematics problems are derived. An analytical procedure for determining the system’s singular positions is presented and illustrated with examples.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Tsai Lung-Wen: Robot Analysis. The Mechanics and Parallel Manipulators. Wiley, New York (1999)

    Google Scholar 

  2. Merlet, J-P.: Parallel Robots, Kluwer Academic Publishers, London (2000)

    Google Scholar 

  3. Bałchanowski, J.: Topology, geometry and kinematics selected translational parallel mechanisms (in Polish). Przegląd Mechaniczny. 2008 R. 67, nr 10.

    Google Scholar 

  4. Bałchanowski, J., Prucnal-Wiesztort, M.: Translational parallel mechanisms. Elements of kinematics with singularity analysis. X. International conference on the theory of machines and mechanisms. Liberec, Czech Republic, 2008

    Google Scholar 

  5. Merlet, J-P.:Sigular configurations of parallel manipulators and grassmann geometry. Int. J. Robot. Res. 8, (1992)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. Bałchanowski .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2012 Springer Science+Business Media Dordrecht

About this paper

Cite this paper

Bałchanowski, J. (2012). Direct and Inverse Kinematic of 3DOF Parallel Mechanism with Singularity Analysis. In: Beran, J., Bílek, M., Hejnova, M., Zabka, P. (eds) Advances in Mechanisms Design. Mechanisms and Machine Science, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5125-5_12

Download citation

Publish with us

Policies and ethics