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Characterizing the configuration space of the 3-SPS-S spatial orientation parallel manipulator

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Abstract

In this paper, a complete analysis of configuration space entities of a three-degree-of-freedom spatial orientation manipulator is presented. In particular, the 3-SPS-S architecture with fixed joints located on an orthogonal frame is studied. At the design stage, the evaluation of the workspace of the manipulator constitutes an important issue. Besides, obtaining other entities such as joint space, in which the inputs are established, or the reduced configuration space, entity that relates inputs and outputs, gives an overall idea of the characteristics offered by each design. Comparison among different designs of the 3-SPS-S is carried out, analyzing the ability of transitioning between solutions and its influence on the resultant workspace.

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References

  1. Alici G, Shirinzadeh B (2004) Topology optimisation and singularity analysis of a 3-SPS parallel manipulator with a passive constraining spherical joint. Mech Mach Theory 39:215–235

    Article  MATH  MathSciNet  Google Scholar 

  2. Bamberger H, Wolf A, Shoham M (2008) Assembly mode changing in parallel mechanisms. IEEE Trans Robot 24(4):765–772

    Article  Google Scholar 

  3. Binaud N, Caro S, Wenger P (2011) Comparison of 3-RPR planar parallel manipulators with regard to their kinetostatic performance and sensitivity to geometric uncertainties. Meccanica 46:75–88

    Article  MATH  MathSciNet  Google Scholar 

  4. Birglen L, Gosselin C, Pouliot N, Monsarrat B, Laliberté T (2002) SHaDe, a new 3-DOF haptic device. IEEE Trans Robot Autom 18(2):166–175

    Article  Google Scholar 

  5. Bonev I, Gosselin C (2005) Singularity loci of spherical parallel mechanisms. In: Proceedings of the 2005 IEEE, international conference on robotics and automation, Barcelona, Spain

    Google Scholar 

  6. Bonev I, Gosselin C (2006) Analytical determination of the workspace of symmetrical spherical parallel mechanisms. IEEE Trans Robot 22(5):1011–1017

    Article  Google Scholar 

  7. Callegari M, Gabrielli A, Ruggiu M (2008) Kineto-elasto-static synthesis of a 3-CRU spherical wrist for miniaturized assembly tasks. Meccanica 43:377–389

    Article  MATH  Google Scholar 

  8. Chablat D, Wenger P (1998) Working modes and aspects in fully parallel manipulators. In: Proceedings of the IEEE international conference on robotics and automation, pp 1964–1969

    Google Scholar 

  9. Chablat D, Caro S, Wenger P, Angeles J (2002) The iso conditioning loci of planar three-DOF parallel manipulators. In: 4th international conference IDMME 2002, 14–16 May, Clermont-Ferrand, France, pp 14–16

    Google Scholar 

  10. Cheng G, Yu JL, Ge SR, Zhang S (2011) Workspace analysis of 3SPS+1PS bionic parallel test platform for hip joint simulator. J Mech Eng Sci 225:2216–2231

    Article  Google Scholar 

  11. Di Gregorio R, Sinatra R (2002) Singularity curves of a parallel pointing system. Meccanica 37:255–268

    Article  MATH  MathSciNet  Google Scholar 

  12. Gosselin C, Hamel J (1994) The agile eye: a high-performance three-degree-of-freedom camera-orienting device. In: IEEE international conference on robotics and automation, pp 781–786

    Google Scholar 

  13. Hernández A, Altuzarra O, Petuya V, Macho E (2009) Defining conditions for nonsingular transitions between assembly modes. IEEE Trans Robot 25(6):1438–1447

    Article  Google Scholar 

  14. Huda S, Takeda Y, Hanagasaki S (2011) Kinematic design of 3-URU pure rotational parallel mechanism to perform precise motion within a large workspace. Meccanica 46:89–100

    Article  MATH  MathSciNet  Google Scholar 

  15. Husty M (2009) Non-singular assembly mode change in 3-RPR-parallel manipulators. In: Kecskeméthy A, Müller A (eds) Computational kinematics. Springer, Berlin

    Google Scholar 

  16. Macho E, Altuzarra O, Pinto C, Hernández A (2008) Transitions between multiple solutions of the direct kinematic problem. In: Advances in robot kinematics: analysis and design. Springer, New York, pp 301–310

    Chapter  Google Scholar 

  17. Macho E, Altuzarra O, Pinto C, Hernández A (2008) Workspaces associated to assembly modes of the 5R planar parallel manipulator. Robotica 26:395–403

    Article  Google Scholar 

  18. Mahpeykar N, Enferadi J, Akbarzadeh A (2010) Mechanical design process for the zippy wrist. In: Proceedings of the ISR/Robotik 2010 conference, 7–9 June, Munich, Germany

    Google Scholar 

  19. Merlet J (2006) Parallel robots. Springer, New York

    MATH  Google Scholar 

  20. Nenchev D, Uchiyama M (1997) Singularity-consistent path planning and motion control through instantaneous self-motion singularities of parallel-link manipulators. J Robot Syst 14(1):27–36

    Article  MATH  Google Scholar 

  21. Robertson J (2006) Application of the Trio-Tri-Star Carpal Wrist for use in solar array tracking mechanism for the Momentum-eXchange/Electrodynamic Reboost (MXER) tether concept Tech. rep., NASA Marshall Space Flight Center

  22. Tsai LW (1999) Robot analysis: the mechanics of serial and parallel manipulators. Wiley, New York

    Google Scholar 

  23. Urízar M, Petuya V, Altuzarra O, Macho E, Hernández A (2010) Computing the configuration space for tracing paths between assembly modes. J Mech Robot 2(3):031002

    Article  Google Scholar 

  24. Urízar M, Petuya V, Altuzarra O, Hernández A (2012) Assembly mode changing in the cuspidal analytic 3-R PR. IEEE Trans Robot 28(2):506–513

    Article  Google Scholar 

  25. Wang J, Gosselin C (2004) Singularity loci of a special class of spherical 3-DOF parallel mechanisms with prismatic actuators. J Mech Des 126:319–326

    Article  Google Scholar 

  26. Zein M, Wenger P, Chablat D (2008) Non-singular assembly mode changing motions for 3-RPR parallel manipulators. Mech Mach Theory 43(4):480–490

    Article  MATH  Google Scholar 

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Acknowledgements

The authors wish to acknowledge the financial support received from the Spanish Government through the Ministerio de Economía y Competitividad (Project DPI2011- 22955), the European Union (Project FP7-CIP-ICT-PSP-2009-3) and the Regional Government of the Basque Country through the Dpto. Educ., Univ. e Investig. (Project IT445-10) and UPV/EHU under program UFI 11/29.

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Urízar, M., Petuya, V., Amezua, E. et al. Characterizing the configuration space of the 3-SPS-S spatial orientation parallel manipulator. Meccanica 49, 1101–1114 (2014). https://doi.org/10.1007/s11012-013-9856-y

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