Skip to main content

Design of Reactionless Planar Parallel Manipulators with Inertia Flywheel or with Base-Mounted Counter-rotations

  • Chapter
Dynamic Balancing of Mechanisms and Synthesizing of Parallel Robots
  • 1095 Accesses

Abstract

This chapter discusses the development of reactionless planar parallel manipulators, which apply no reaction forces or moments to the mounting base during motion. Design equations and techniques are proposed which allow for the dynamic substitution of the mass of the moving platform of a parallel manipulator by three concentrated masses. The dynamic model of the moving platform consequently represents a weightless link with three concentrated masses. This allows for the transformation of the problem of the design of a reactionless manipulator into a problem of balancing pivoted legs carrying concentrated masses. The total angular momentum of the manipulator can be reduced to zero using two approaches: (1) on the basis of counter-rotations, and (2) using an inertia flywheel rotating with a prescribed angular velocity. The suggested solutions are illustrated through 3-DOF 3-RRR planar parallel manipulators. Computer simulations and the results verified by showing that the manipulator are indeed reactionless, there being no forces or moments transmitted to the base during motion of the moving platform.

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. Lowen, G.G., Tepper, F.R., Berkof, R.S.: Balancing of linkages – an update. Mech. Mach. Theory 18(3), 213–230 (1983)

    Article  Google Scholar 

  2. Arakelian, V.H., Dahan, M., Smith, M.R.: A historical review of the evolution of the theory on balancing of mechanisms. Proceedings of the international symposium on history of machines and mechanisms, pp. 291–300. Kluwer Academic, Dordrecht (2000)

    Google Scholar 

  3. Arakelian, V.H., Smith, M.: Shaking force and shaking moment balancing of mechanisms: a historical review with new examples. J. Mech. Des. 127, 334–339 (2005)

    Article  Google Scholar 

  4. Bolotin, L.M., Glazunov VA: Spatial mechanism, Patent SU 1757873, August 30, 1992

    Google Scholar 

  5. Jean, M., Gosselin, C.M.: Static balancing of planar manipulators. Proceedings of the 1996 IEEE international conference on robotics and automation, Minneapolis, Minnesota, April 1996. pp. 3732–3737

    Google Scholar 

  6. Wang, J., Gosselin, C.M.: Static balancing of spatial six-degree-of-freedom parallel mechanisms with revolute actuators. Proceedings of DETC’98, Atlanta, Georgia, USA, September 1998 (Paper DECH/MECH-5961)

    Google Scholar 

  7. Arakelian, V., Le Baron, J.-P., Mottu, P.: Torque minimisation of the 2-DOF serial manipulators based on minimum energy consideration and optimum mass redistribution. Mechatronics 21(1), 310–314 (2011)

    Article  Google Scholar 

  8. Laliberté, T., Gosselin, C.M.: Static balancing of 3-DOF planar parallel mechanisms. IEEE. Trans. Mechatron. 4(4), 363–377 (1999)

    Article  Google Scholar 

  9. Ebert-Uphoff, I., Gosselin, C.M., Laliberté, T.: Static balancing of spatial parallel platform mechanisms – revisited. J. Mech. Des. 122, 43–51 (2000)

    Article  Google Scholar 

  10. Leblond, M., Gosselin C.M.: Static balancing of spatial and planar parallel manipulators with prismatic actuators. Proceedings of DETC’98, Atlanta, Georgia, USA, September 1998 (Paper DECH/MECH-5963)

    Google Scholar 

  11. Arakelian, V., Ghazaryan, S.: Improvement of balancing accuracy of robotic systems: application to leg orthosis for rehabilitation devices. Mech. Mach. Theory 43(5), 565–575 (2008)

    Article  MATH  Google Scholar 

  12. Johnson, K., Ebert-Uphoff, I.: Development of a spatial statically-balanced parallel platform mechanism. Proceedings of the year 2000 parallel kinematic machines international conference and second European-American PKM forum, Ann Arbor, MI, September 2000. pp. 143–159

    Google Scholar 

  13. Nathan, R.H.: A constant force generation mechanism. J. Mech. Des. 107, 508–512 (1985)

    Google Scholar 

  14. Minotti, P., Pracht, P.: Ressort et mécanismes : une solution aux problèmes d’équilibrage. Mech. Mach. Theory 23(2), 157–168 (1988)

    Article  Google Scholar 

  15. Streit, D.A., Gilmore, B.J.: Perfect spring equilibrators for rotatable bodies. J. Mech. Transmiss. Automat. Des. 111, 451–458 (1989)

    Article  Google Scholar 

  16. Streit, D.A., Shin, E.: Equilibrator for planar linkages. J. Mech. Des. 115, 604–611 (1993)

    Article  Google Scholar 

  17. Walsh, G.J., Streit, D.A., Gilmore, B.J.: Spatial spring equilibrator theory. Mech. Mach. Theory 26(2), 115–170 (1991)

    Article  Google Scholar 

  18. Simionescu, I., Ciupitu, L.: The static balancing of the industrial robot arms; part I: discrete balancing. Mech. Mach. Theory 35(9), 1287–1298 (2000)

    Article  Google Scholar 

  19. Simionescu, I., Ciupitu, L.: The static balancing of the industrial robot arms; part II: continuous balancing. Mech. Mach. Theory 35(9), 1299–1311 (2000)

    Article  Google Scholar 

  20. Herder, J.L.: Some consideration regarding statically balanced parallel mechanisms. Proceedings of the workshop on fundamental issues and future research directions for parallel mechanisms and manipulators, Quebec City, Quebec, Canada, 3–4 October 2002. pp. 40–45

    Google Scholar 

  21. Russo, A., Sinatra, R., Xi, F.: Static balancing of parallel robots. Mech. Mach. Theory 40(2), 191–202 (2005)

    Article  MATH  MathSciNet  Google Scholar 

  22. Baradat, C., Arakelian, V., Maurine, P.: Parallel robot including the load compensation system. Patent FR2880575, 14 juillet 2006

    Google Scholar 

  23. Baradat C., Arakelian V., Briot S., Guegan S.: Design and prototyping of a new balancing mechanism for spatial parallel manipulators. Transactions of the ASME. J. Mech. Des. 130(7), 072305 (13 pages) (2008)

    Google Scholar 

  24. Briot, S., Baradat, C., Guegan, S., Arakelian, V.: Contribution to the mechanical behavior improvement of the robotic navigation device Surgiscope®. Proceedings of the 2007 ASME International Design Engineering Technical Conferences (DETC 2007), Las Vegas, Nevada, USA, September 4–7 2007

    Google Scholar 

  25. Foucault, S., Gosselin, C.M.: Synthesis, design and prototyping of a planar three degree-of-freedom reactionless parallel mechanism. J. Mech. Des. 126, 992–999 (2004)

    Article  Google Scholar 

  26. Fattah, A., Agrawal, S.K.: On the design of reactionless 3-DOF planar parallel mechanisms. Mech. Mach. Theory 41, 70–82 (2006)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Vigen Arakelian .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Arakelian, V. (2016). Design of Reactionless Planar Parallel Manipulators with Inertia Flywheel or with Base-Mounted Counter-rotations. In: Zhang, D., Wei, B. (eds) Dynamic Balancing of Mechanisms and Synthesizing of Parallel Robots. Springer, Cham. https://doi.org/10.1007/978-3-319-17683-3_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-17683-3_4

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-17682-6

  • Online ISBN: 978-3-319-17683-3

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics