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Singularity and workspace analysis of three isoconstrained parallel manipulators with schoenflies motion

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Abstract

This paper presents the analysis of three parallel manipulators with Schoenflies-motion. Each parallel manipulator possesses two limbs in structure and the end-effector has three DOFs (degree of freedom) in the translational motion and one DOF in rotational motion about a given direction axis with respect to the world coordinate system. The three isoconstrained parallel manipulators have the structures denoted as C uu UwHw-//-C vv UwHw, CuR uu Uhw-//-CvR vv Uhw and CuPuUhw-//-CvPvUhw. The kinematic equations are first introduced for each manipulator. Then, Jacobian matrix, singularity, workspace, and performance index for each mechanism are subsequently derived and analysed for the first time. The results can be helpful for the engineers to evaluate such kind of parallel robots for possible application in industry where pick-and-place motion is required.

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References

  1. Angeles J. The qualitative synthesis of parallel manipulators. Journal of Mechanical Design, 2004, 126(4): 617–674

    Article  Google Scholar 

  2. Clavel R. Device for the movement and positioning of an element in space. US Patent, 4976582, 1990-12-11

  3. Pierrot F, Company O. H4: A new family of 4-dof parallel robots. 186 Front. Mech. Eng. 2012, 7(2): 163–187 In: Proceedings of IEEE/ASME International Conference on Advances Intelligent Mechatronics, 1999, 508–513

    Google Scholar 

  4. Company O, Pierrot F. A new 3T-1R parallel robot. In: Proceedings of IEEE International Conference on Robotic and Automation, 1999, 557–562

  5. Rolland L H. The manta and the kanuk: Novel 4-DOF parallel mechanisms for industrial handling. In: Proceedings of International Mechanical Engineering Congress and Exposition, Nashville, Tennessee, USA, 1999, 67: 831–844

    Google Scholar 

  6. Company O, Pierrot F, Nabat V, Rodriguez M. Schoen flies motion generator: A new non redundant parallel manipulator with unlimited rotation capability. In: Proceedings of IEEE International Conference Robotic and Automation, Barcelona, Spain, 2005, 3250–3255

  7. Krut S, Company O, Benoit M, Pierrot F. I4: A new parallel mechanism for SCARA motions. In: Proceedings of IEEE International Conference on Robotics and Automation, Taipei, 2003, 1875–1880

  8. Angeles J, Morozov A, Navarro O. A novel manipulator architecture for the production of the SCARA motions. In: Proceedings of IEEE International Conference on Robotic and Automation, San Francisco, 2000, 3: 2370–2375

    Google Scholar 

  9. Kong X W, Gosselin C M. Type synthesis of 3T1R 4-DOF parallel manipulators based on screw theory. In: Proceedings of IEEE Transactions on Robotics and Automation, 2004, 20(2): 181–190

    Article  Google Scholar 

  10. Richard P L, Gosselin C M, Kong X. Kinematic analysis and prototyping of a partially decoupled 4-DOF 3T1R parallel manipulator, Journal of Mechanical Design, 2007, 129(12): 611–616

    Article  Google Scholar 

  11. Pierrot F, Nabat V, Company O, Krut S, Poignet P. Optimal design of a 4-DOF parallel manipulator: From academia to industry. In: Proceedings of IEEE Transactions on Robotics, 2009, 25(2): 213–224

    Article  Google Scholar 

  12. Lee C C, Hervé J M. Iso constrained parallel generators of schoenflies motion. ASME Journal of Mechanical Robots, 2011, 3(2), 021006

    Article  Google Scholar 

  13. Lee C C, Lee P C. Isoconstrained mechanisms for fast pick-andplace manipulation, In: Proceedings of 1st International Symposium Geometric Methods in Robotics and Mechanism Research, Hong Kong, 2009

  14. Lee P C, Lee J J, Lee C C. Four novel pick-and-place isoconstrained manipulators and their inverse kinematics. In: Proceedings of ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Montreal, Canada, 2010, 15–18

  15. Lee P C, Lee J J. Forward kinematics and numerical verification of four novel parallel manipulators with schoenflies motion. In: Proceedings of the 1st IFToMM Asian Conference on Mechanical Machine Science, Taipei, 2010

  16. Jin Y, Chen I M, Yang G. Kinematic design of a 6-DOF parallel manipulator with decoupled translation and rotation. In: Proceedings of IEEE Transactions on Robotics, 2006, 22(3): 545–551

    Article  Google Scholar 

  17. Hunt K H. Kinematic Geometry of Mechanisms. Cambridge University Press, 1978

  18. Merlet J P. Singular configurations of parallel manipulators and grassmann geometry. International Journal of Robotics Research, 1989, 8(5): 45–56

    Article  Google Scholar 

  19. Gosselin C, Angeles J. Singularity analysis of closed-loop kinematic chains. In: Proceedings of IEEE Transactions on Robotics and Automation, 1990, 6(3): 281–290

    Article  Google Scholar 

  20. Yang F C, Haug E J. Numerical analysis of the kinematic working capability of mechanism. Journal of Mechanical Design, 1994, 116(1): 111–117

    Article  Google Scholar 

  21. Hartenberg R S, Denavit J. Kinematic Synthesis of Linkages. McGraw-Hill, 1964

  22. Tsai L W. Robot Analysis, the Mechanics of a Serial and Parallel Manipulators. New York: John Wiley & Sons, 1999

    Google Scholar 

  23. Salisbury J K, Craig J J. Articulated hands: Force control and kinematic issues. International Journal of Robotics Research, 1982, 1(1): 417

    Google Scholar 

  24. Yoshikawa T. Manipulability of robotic mechanisms. International Journal of Robotics Research, 1985, 4(2): 3–9

    Article  MathSciNet  Google Scholar 

  25. Pond G, Carretero J A. Formulating Jacobian matrices for the dexterity analysis of parallel manipulators. Mechanism and Machine Theory, 2006, 41(12): 1505–1519

    Article  MathSciNet  MATH  Google Scholar 

  26. Gosselin C M. Dexterity indices for planar and spatial robotic manipulators. In: Proceedings of IEEE International Conference on Robotics and Automation, 1990, 650–655

  27. Merlet J P. Parallel Robots. 2nd ed. New York: Springer, 2006

    MATH  Google Scholar 

  28. Zanganeh K E, Angeles J. Kinematic isotropy and the optimum design of parallel manipulators. The International Journal of Robotics Research, 1997, 16(2): 185–197

    Article  Google Scholar 

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Correspondence to Jyh-Jone Lee.

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Lee, PC., Lee, JJ. Singularity and workspace analysis of three isoconstrained parallel manipulators with schoenflies motion. Front. Mech. Eng. 7, 163–187 (2012). https://doi.org/10.1007/s11465-012-0324-5

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  • DOI: https://doi.org/10.1007/s11465-012-0324-5

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