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Kinematic Manipulability of Closed Chains

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Abstract

This paper presents a coordinate-invariant differential geometric formulation of manipulability for closed kinematic chains containing active and passive joints. The formulation treats both redundant and nonredun-dant mechanisms, as well as over actuated and exactly actuated ones, in a uniform manner. We illustrate the formulation with several planar closed chain examples.

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References

  • Chiacchio, P., Chiaverini, S., Sciavicco, L., and Siciliano, B. (1991) Global task space manipulability ellipsoids for multiple-arm systems, IEEE Trans. Robotics Autom., Vol. 7, No. 5, pp. 678–685.

    Article  Google Scholar 

  • Chiacchio, P., Chiaverini, S., Sciavicco, L., and Siciliano, B. (1993) Reply to “comments on ‘Global task space manipulability ellipsoids for multiple-arm systems’ and further considerations,” IEEE Trans. Robotics Autom., vol. 9, No. 2, pp. 235–236.

    Google Scholar 

  • Gosselin, C. M., and Angeles, J. (1988) A new performance index for the kinematic optimization of robotic manipulators, Proc. 20th ASME Mechanisms Conf., Kissimmee, FL., pp. 441–447.

    Google Scholar 

  • Gosselin, C. M., and Angeles, J. (1988b) The optimum kinematic design of a planar three-degree-of-freedom parallel manipulator, ASME J. Mech., Trans., and Autom. in Design, Vol. 110, pp. 35–41.

    Google Scholar 

  • Gosselin, C. M. (1990) Dexterity indices for planar and spatial robotic manipulators. Proc. IEEE Int. Conf. Robotics & Autom., pp. 650–655.

    Google Scholar 

  • Klein, C. A., and Blaho, B. (1987) Dexterity measures for the design and control of kinematically redundant manipulators, Int. J. Robotics Research, Vol. 6, No. 2, pp. 72–83.

    Article  Google Scholar 

  • Melchiorri, C. (1993) Comments on ‘Global task space manipulability ellipsoids for multiple-arm systems’ and further considerations, IEEE Trans. Robotics Autom., Vol. 9, No. 2, pp. 232–235.

    Article  Google Scholar 

  • Bicchi, A., Melchiorri, C, and Balluchi, D. (1995) On the mobility and manipulability of general multiple limb robots, IEEE Trans. Robotics Autom., Vol. 11, No. 2, pp. 232–235.

    Article  Google Scholar 

  • Park, F. C. (1995b) Optimal robot design and differential geometry, Trans. ASME 50th Anniv. Special Issue, Vol. 117(B), pp. 87–92.

    Google Scholar 

  • Park, F. C. (1995) Distance metrics on the rigid-body motions with applications to mechanism design, ASME J. Mechanical Design, Vol. 117, pp. 48–54.

    Article  Google Scholar 

  • Salisbury, J. K., and Craig, J. J. (1982) Articulated hands: force control and kinematic issues, Int. J. Robotics Research, Vol. 1, No. 1, pp. 4–17.

    Article  Google Scholar 

  • Yoshikawa, T. (1985) Manipulability of robotic mechanisms, Int. J. Robotics Research Vol. 4, No. 2, pp. 3–9.

    Article  MathSciNet  Google Scholar 

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© 1996 Kluwer Academic Publishers

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Park, F.C., Kim, J.W. (1996). Kinematic Manipulability of Closed Chains. In: Lenarčič, J., Parenti-Castelli, V. (eds) Recent Advances in Robot Kinematics. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1718-7_10

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  • DOI: https://doi.org/10.1007/978-94-009-1718-7_10

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7269-4

  • Online ISBN: 978-94-009-1718-7

  • eBook Packages: Springer Book Archive

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