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Analysis Methods for the 3-RRR with Uncertainties in the Design Parameters

  • Joshua K. Pickard
  • Juan A. Carretero
  • Jean-Pierre Merlet
Chapter
Part of the Springer Proceedings in Advanced Robotics book series (SPAR, volume 4)

Abstract

Accounting for uncertainties in the design variables of a parallel manipulator is important for a reliable analysis of a mechanism. The design of the 3-RRR planar parallel manipulator is modelled with uncertainties. Interval analysis techniques are utilised to solve for the reachable workspace and the collision-free workspace. It is necessary to ensure that a fabricated design can achieve some desired criteria. Here, we consider generating a desired set of wrenches at the end-effector. The wrench capabilities under uncertainties are verified throughout the collision-free workspace. The results describe the set of poses which are guaranteed to be collision free and satisfy the desired wrench capabilities given the uncertainties in the specified design.

Keywords

Interval analysis Self-collisions Wrench workspace 

Notes

Acknowledgements

The authors would like to thank the Natural Sciences and Engineering Research Council of Canada (NSERC), Mitacs, and Inria for their funding of this research.

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  • Joshua K. Pickard
    • 1
  • Juan A. Carretero
    • 1
  • Jean-Pierre Merlet
    • 2
  1. 1.University of New BrunswickFrederictonCanada
  2. 2.INRIA Sophia-AntipolisSophia-AntipolisFrance

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