Skip to main content

Computation of the interference-free wrench feasible workspace of a 3-DoF translational tensegrity robot

  • Conference paper
  • First Online:
Cable-Driven Parallel Robots (CableCon 2019)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 74))

Included in the following conference series:

Abstract

This paper proposes a method to compute the workspace of a three-degree-of-freedom translational tensegrity robot. Equivalent compression spring legs incorporating variable radius drums are used to emulate linear compression springs that replace the struts of the tensegrity system from which the robot is inspired. The workspace is computed based on the interval analysis evaluation of constraints related to the kinematics of the equivalent spring legs, the avoidance of interferences between the robot’s components and the need to generate required wrenches on the robot’s mobile platform while ensuring acceptable cable tensions. Sufficient conditions for the satisfaction of these constraints that may be suitably evaluated using interval analysis are developed. Results suggest that the size of the workspace may be increased by introducing pre-load in the robot’s components.

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 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Arsenault, M.: Design of convex variable radius drum mechanisms. Mechanism and Machine Theory 129, 175–190 (2018)

    Article  Google Scholar 

  2. Arsenault, M., Gosselin, C.M.: Kinematic and static analysis of a planar modular 2-DoF tensegrity mechanism. In: Proceedings - IEEE International Conference on Robotics and Automation, vol. 2006, pp. 4193–4198 (2006)

    Google Scholar 

  3. Arsenault, M., Gosselin, C.M.: Kinematic and static analysis of a three-degree-of-freedom spatial modular tensegrity mechanism. International Journal of Robotics Research 27(8), 951–966 (2008)

    Google Scholar 

  4. Arsenault, M., Mohr, C.: Design and fabrication of a functional prototype for a 3-DoF translational tensegrity robot. In: Proceedings of the 2016 CSME International Congress (2016)

    Google Scholar 

  5. Berti, A., Merlet, J.P., Carricato, M.: Solving the direct geometrico-static problem of underconstrained cable-driven parallel robots by interval analysis. International Journal of Robotics Research 35(6), 723–739 (2016)

    Article  Google Scholar 

  6. Calladine, C., Pellegrino, S.: First-order infinitesimal mechanisms. International Journal of Solids and Structures 27(4), 505–515 (1991)

    Article  MathSciNet  Google Scholar 

  7. Fuller, B.: Tensile-integrity structures. United States Patent No. 3,063,521 (1962)

    Google Scholar 

  8. Gouttefarde, M., Daney, D., Merlet, J.P.: Interval-analysis-based determination of the wrench-feasible workspace of parallel cable-driven robots. IEEE Transactions on Robotics 27(1), 1–13 (2011)

    Article  Google Scholar 

  9. Hansen, E., Walster, G.W.: Global Optimization Using Interval Analysis, second edn. Marcel Dekker Inc., New York (2004)

    Google Scholar 

  10. Mohr, C.A., Arsenault, M.: Kinematic analysis of a translational 3-DoF tensegrity mechanism. Transactions of the CSME 35(4), 573–584 (2011)

    Article  Google Scholar 

  11. Moore, R.E., Kearfott, R.B., Cloud, M.J.: Introduction to Interval Analysis. Society for Industrial and Applied Mathematics, Philadelphia (2009)

    Google Scholar 

  12. Paul, C., Lipson, H., Valero-Cuevas, F.: Design and control of tensegrity robots for locomotion. IEEE Transactions on Robotics 22(5), 944–957 (2006)

    Article  Google Scholar 

  13. Pellegrino, S.: Analysis of prestressed mechanisms. International Journal of Solids and Structures 26(12), 1329–1350 (1990)

    Article  Google Scholar 

  14. Pugh, A.: An introduction to tensegrity. University of California Press (1976)

    Google Scholar 

  15. Rohn, J.: An algorithm for computing the hull of the solution set of interval linear equations. Linear Algebra and Its Applications 435(2), 193–201 (2011)

    Article  MathSciNet  Google Scholar 

  16. Rovira, A.G., Tur, J.M.: Control and simulation of a tensegrity-based mobile robot. Robotics and Autonomous Systems 57, 526–535 (2009)

    Article  Google Scholar 

  17. Rump, S.: INTLAB – INTerval LABoratory. In: T. Csendes (ed.) Developments in Reliable Computing, pp. 77–104. Kluwer Academic Publishers, Dordrecht (1999)

    Chapter  Google Scholar 

  18. Schmidt, V., Muller, B., Pott, A.: Solving the forward kinematics of cable-driven parallel robots with neural networks and interval arithmetic. pp. 103–110. Kluwer Academic Publishers (2014)

    Google Scholar 

  19. Snelson, K.: Continuous tension, discontinuous compression structures. United States Patent No. 3,169,611 (1965)

    Google Scholar 

  20. Sultan, C., Corless, M., Skelton, R.: Tensegrity flight simulator. Journal of Guidance, Control and Dynamics 23(6), 1055–1064 (2000)

    Article  Google Scholar 

  21. Wenger, P., Chablat, D.: Kinetostatic analysis and solution classification of a class of planar tensegrity mechanisms. Robotica (2018)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Marc Arsenault .

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

Arsenault, M. (2019). Computation of the interference-free wrench feasible workspace of a 3-DoF translational tensegrity robot. In: Pott, A., Bruckmann, T. (eds) Cable-Driven Parallel Robots. CableCon 2019. Mechanisms and Machine Science, vol 74. Springer, Cham. https://doi.org/10.1007/978-3-030-20751-9_16

Download citation

Publish with us

Policies and ethics