Skip to main content

Maximum Isotropic Force Capability Maps in Planar Cooperative Systems: A Practical Case Study

  • Conference paper
  • First Online:
Multibody Mechatronic Systems (MuSMe 2017)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 54))

Included in the following conference series:

Abstract

In robotics, the force capability is defined as the maximum wrench that can be applied (or sustained) by a manipulator. This property is dependent on the robot’s posture, actuation limits and redundancies and, by considering all possible directions of the applied wrench, a polar force capability plot can be generated for a given pose. The concept of isotropic force capability appeared as a subset of the classic force capability and it was formally defined as the maximum magnitude force that a robot can apply or support in all directions according to a posture. A relevant condition which must be studied is when there is load distribution processes between cooperative robots, e.g. when two or more arms are carrying the same load, if the load distribution fails, one of the arms may overload causing structural or material damage during the process. The main objective of this paper is to develop a method to determine the area in the workspace of a cooperative robot composed by two planar serial 3R manipulators which presents the maximum isotropic force capability. The isotropic force capability maps are generated for three different load’s orientations and four working modes and they are compared among themselves.

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

References

  1. Angeles, J., López-Cajún, C.S.: Kinematic isotropy and the conditioning index of serial robotic manipulators. Int. J. Robot. Res. 11(6), 560–571 (1992)

    Article  Google Scholar 

  2. Bi, S., Liang, J.: Robotic drilling system for titanium structures. Int. J. Adv. Manuf. Technol. 54(5–8), 767–774 (2011)

    Article  Google Scholar 

  3. Cazangi, H.R., et al.: Aplicação do método de davies para análise cinemática e estática de mecanismos com múltiplos graus de liberdade (2008)

    Google Scholar 

  4. Chiacchio, P., Bouffard-Vercelli, Y., Pierrot, F.: Evaluation of force capabilities for redundant manipulators. In: 1996 Proceedings of IEEE International Conference on Robotics and Automation, vol. 4, pp. 3520–3525. IEEE (1996)

    Google Scholar 

  5. Chiu, S.L.: Task compatibility of manipulator postures. Int. J. Robot. Res. 7(5), 13–21 (1988)

    Article  Google Scholar 

  6. Davies, T.: Mechanical networks - I passivity and redundancy. Mech. Mach. Theory 18(2), 95–101 (1983)

    Article  Google Scholar 

  7. Davies, T.: Mechanical networks - II formulae for the degrees of mobility and redundancy. Mech. Mach. Theory 18(2), 103–106 (1983)

    Article  Google Scholar 

  8. Davies, T.: Mechanical networks - III wrenches on circuit screws. Mech. Mach. Theory 18(2), 107–112 (1983)

    Article  Google Scholar 

  9. Firmani, F., Zibil, A., Nokleby, S.B., Podhorodeski, R.P.: Wrench capabilities of planar parallel manipulators. Part I: wrench polytopes and performance indices. Robotica 26(06), 791–802 (2008)

    Article  Google Scholar 

  10. Frantz, J.C., et al.: Análise estática de sistemas robóticos cooperativos (2015)

    Google Scholar 

  11. Legnani, G., Tosi, D., Fassi, I., Giberti, H., Cinquemani, S.: The point of isotropy and other properties of serial and parallel manipulators. Mech. Mach. Theory 45(10), 1407–1423 (2010)

    Article  MATH  Google Scholar 

  12. Mejia, L., Frantz, J., Simas, J., Martins, D.: Modified scaling factor method for the obtention of the wrench capabilities in cooperative planar manipulators. In: Proceedings of the 14th IFToMM World Congress, pp. 572–581 (2015)

    Google Scholar 

  13. Nokleby, S.B., Fisher, R., Podhorodeski, R.P., Firmani, F.: Force capabilities of redundantly-actuated parallel manipulators. Mech. Mach. Theory 40(5), 578–599 (2005)

    Article  MATH  Google Scholar 

  14. Weihmann, L., et al.: Modelagem e otimização de forças e torques aplicados por robôs com redundância cinemática e de atuação em contato com o meio (2011)

    Google Scholar 

  15. Weihmann, L., Martins, D., Coelho, L., Bernert, D.: Force capabilities of kinematically redundant planar parallel manipulators. In: 13th World Congress in Mechanism and Machine Science, p. 483 (2011)

    Google Scholar 

Download references

Acknowledgements

The authors would like to thank to the Federal University of Santa Catarina, and the National Council for Scientific and Technological Development (CNPq).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Juan Camilo Herrera Pineda .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG

About this paper

Cite this paper

Herrera Pineda, J.C., Mejia Rincon, L., Simoni, R., Simas, H. (2018). Maximum Isotropic Force Capability Maps in Planar Cooperative Systems: A Practical Case Study. In: Carvalho, J., Martins, D., Simoni, R., Simas, H. (eds) Multibody Mechatronic Systems. MuSMe 2017. Mechanisms and Machine Science, vol 54. Springer, Cham. https://doi.org/10.1007/978-3-319-67567-1_15

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-67567-1_15

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67566-4

  • Online ISBN: 978-3-319-67567-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics