Skip to main content

Dynamic Analysis and Control of an Antagonistically Actuated Tensegrity Mechanism

  • Conference paper
  • First Online:
ROMANSY 22 – Robot Design, Dynamics and Control

Part of the book series: CISM International Centre for Mechanical Sciences ((CISM,volume 584))

Abstract

This paper analyses the dynamics of an antagonistically actuated tensegrity mechanism. The mechanism is subject to gravity effects, which produce both stable and unstable equilibrium configurations. The workspace is shown to be not necessarily connected and its size depends on both the geometric, spring and actuator parameters of the mechanism. The antagonistic actuation forces, which are bounded, enable controlling both the stiffness and the position within certain limits. A computed torque control law is applied and simulations show interesting behaviors of the mechanism when the desired motion makes the mechanism jump between two connected components of the workspace.

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 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
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. Skelton, R., de Oliveira, M.: Tensegrity Systems. Springer, New York (2009)

    MATH  Google Scholar 

  2. Arsenault, M., Gosselin, C.M.: Kinematic, static and dynamic analysis of a planar 2-DoF tensegrity mechanism. Mech. Mach. Theory 41(9), 1072–1089 (2006)

    Article  MathSciNet  Google Scholar 

  3. Wenger, P., Chablat, D.: Kinetostatic analysis and solution classification of a planar tensegrity mechanism. In: Proceedings 7th International Workshop on Computational Kinematics, pp. 422–431. Springer, Cham (2017). ISBN 978-3-319-60867-9

    Google Scholar 

  4. Snelson, K.: Continuous Tension, Discontinuous Compression Structures, US Patent No. 3,169,611 (1965)

    Google Scholar 

  5. Boehler, Q., et al.: Definition and computation of tensegrity mechanism workspace. ASME J. Mech. Rob. 7(4), 044502-1–044502-4 (2015)

    Article  Google Scholar 

  6. Aldrich, J.B., Skelton, R.E.: Time-energy optimal control of hyper-actuated mechanical systems with geometric path constraints. In: 44th IEEE Conference on Decision and Control, pp. 8246–8253 (2005)

    Google Scholar 

  7. Chen, S., Arsenault, M.: Analytical computation of the actuator and cartesian workspace boundaries for a planar 2-degree-of-freedom translational tensegrity mechanism. J. Mech. Rob. 4, 011010-1–011010-8 (2012)

    Google Scholar 

  8. Bakker, D.L., et al.: Design of an environmentally interactive continuum manipulator. In: Proceedings of 14th World Congress in Mechanism and Machine Science, IFToMM 2015, Taipei, Taiwan (2015)

    Google Scholar 

  9. Russel, D., et al.: Mechanical issue inherent in antagonistically actuated systems. ASME J. Mech. Rob. 1, 044501-1–044501-8 (2009)

    Google Scholar 

  10. Sultan, C., Corless, M., Skelton, R.: Linear dynamics of tensegrity structures. Eng. Struct. 24, 671–685 (2002)

    Article  Google Scholar 

  11. Gouttefarde, M., Merlet, J.-P., Daney, D.: Wrench-feasible workspace of parallel cable-driven mechanisms. In: ICRA 2007: International Conference on Robotics and Automation, April 2007, Roma, Italy, pp. 1492–1497 (2007)

    Google Scholar 

  12. Quennouelle, C., Gosselin, C.: Stiffness matrix of compliant parallel mechanisms. In: Lenarcic, J., Wenger, P. (eds.) Advances in Robot Kinematics: Analysis and Design, pp. 331–341. Springer (2008)

    Chapter  Google Scholar 

Download references

Acknowledgement

This work was conducted with the support of the French National Research Agency (AVINECK Project ANR-16-CE33-0025).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Anders van Riesen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 CISM International Centre for Mechanical Sciences

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

van Riesen, A., Furet, M., Chevallereau, C., Wenger, P. (2019). Dynamic Analysis and Control of an Antagonistically Actuated Tensegrity Mechanism. In: Arakelian, V., Wenger, P. (eds) ROMANSY 22 – Robot Design, Dynamics and Control. CISM International Centre for Mechanical Sciences, vol 584. Springer, Cham. https://doi.org/10.1007/978-3-319-78963-7_60

Download citation

Publish with us

Policies and ethics