Skip to main content

Workspace and Singularity Analysis of a 3-RUU Parallel Manipulator

  • Conference paper
  • First Online:
EuCoMeS 2018 (EuCoMeS 2018)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 59))

Included in the following conference series:

Abstract

The aim of this paper is to give a detailed examination of the workspace and the input and output singularities of the 3-RUU parallel manipulator in the translational operation mode. The examination is achieved by using algebraic constraint equations derived with the help of the Linear Implicitization Algorithm. The computation of the workspace is not limited to the boundaries of the translational operation mode but tailored with the conditions for this special case.

The investigation of the singularities include the input singularities mapped into a Study subspace and into the joint space. Also the output singularities are computed and mapped into the Study subspace and the joint space, therewith a complete singularity investigation of the translational operation mode of the 3-RUU parallel manipulator is provided.

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

Access this chapter

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Similar content being viewed by others

References

  1. Amine, S., Tale Masouleh, M., Caro, S., Wenger, P., Gosselin, C.: Singularity conditions of 3T1R parallel manipulators with identical limb structures. J. Mech. Robot. 4(1), 1851–1863 (2012). https://doi.org/10.1115/1.4005336

    Article  Google Scholar 

  2. Bhaskar: The stewart platform manipulator: a review. Mech. Mach. Theory 35(1), 15–40 (2000). https://doi.org/10.1016/S0094-114X(99)00006-3. http://www.sciencedirect.com/science/article/pii/S0094114X99000063

  3. Borràs, J., Thomas, F., Torras, C.: Singularity-invariant leg rearrangements in stewart-gough platforms. In: Lenarcic, J., Stanisic, M.M. (eds.) Advances in Robot Kinematics: Motion in Man and Machine, pp. 421–428. Springer, Netherlands (2010)

    Chapter  Google Scholar 

  4. Denavit, J., Hartenberg, R.S.: A kinematic notation for lower-pair mechanisms based on matrices. Trans. ASME E J. Appl. Mech. 22, 215–221 (1955)

    MathSciNet  MATH  Google Scholar 

  5. Gosselin, C., Angeles, J.: Singularity analysis of closed-loop kinematic chains. IEEE Trans. Robot. Autom. 6(3), 281–290 (1990). https://doi.org/10.1109/70.56660

    Article  Google Scholar 

  6. Husty, M.L., Pfurner, M., Schröcker, H.P., Brunnthaler, K.: Algebraic methods in mechanism analysis and synthesis. Robotica 25, 661–675 (2007)

    Article  Google Scholar 

  7. Nawratil, G.: Stewart Gough platforms with linear singularity surface. In: 19th International Workshop on Robotics in Alpe-Adria-Danube Region (RAAD 2010), pp. 231–235 (2010). https://doi.org/10.1109/RAAD.2010.5524579

  8. Nawratil, G.: Stewart Gough platforms with non-cubic singularity surface. Mech. Mach. Theory 45(12), 1851–1863 (2010). https://doi.org/10.1016/j.mechmachtheory.2010.08.005. http://www.sciencedirect.com/science/article/pii/S0094114X10001394

  9. Schadlbauer, J., Walter, D.R., Husty, M.L.: The 3-RPS parallel manipulator from an algebraic viewpoint. Mech. Mach. Theory 75, 161–176 (2014)

    Article  Google Scholar 

  10. Stigger, T., Nayak, A., Caro, S., Wenger, P., Pfurner, M., Husty, M.: Algebraic analysis of a 3-RUU parallel manipulator. In: 16th International Symposium on Advances in Robot Kinematics (2018, to submitted)

    Google Scholar 

Download references

Acknowledgements

This work was conducted with the support of the University of Innsbruck and the support of the FWF project KAPAMAT (I 1750-N26).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Thomas Stigger .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Stigger, T., Pfurner, M., Husty, M. (2019). Workspace and Singularity Analysis of a 3-RUU Parallel Manipulator. In: Corves, B., Wenger, P., Hüsing, M. (eds) EuCoMeS 2018 . EuCoMeS 2018. Mechanisms and Machine Science, vol 59. Springer, Cham. https://doi.org/10.1007/978-3-319-98020-1_38

Download citation

Publish with us

Policies and ethics