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Abstract

Discussed in this paper is the existence of isotropy points in the end effector of 3-revolute manipulators with a given architecture at a given posture. We show that, in general, such points are not possible. Moreover, when these points occur, they are not unique. The results of this discussion should find applications in manipulator design, manipulator control, and in trajectory planning.

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References

  1. Salisbury, J. K. and Craig, J. J., 1982, “Articulated hands: Force and kinematic issues”, The International Journal of Robotics Research, Vol. 1, No. 1, pp. 4–17.

    Article  Google Scholar 

  2. Gosselin, C. and Angeles, J., 1987, “A Global Performance Index for the Kinematic Optimization of Robotic Manipulators”, The International Journal of Robotics Research, Vol. 6, No. 2, pp. 72–83.

    Article  Google Scholar 

  3. Angeles, J. and López-Cajún, C., 1992, “ Kinematic Isotropy and the Conditioning Index of Serial Manipulators”, The International Journal of Robotics Research, Vol. 11, No. 6, pp. 560–571.

    Article  Google Scholar 

  4. Angeles, J., 1992, “The Design of Isotropic Manipulator Architectures in the Presence of Redundancies”, The International Journal of Robotics Research, Vol. 11, No. 3, pp. 196–201.

    Article  Google Scholar 

  5. Golub, G. H. and Van Loan, C. F., 1983. Matrix Computations, The Johns Hopkins University Press, Baltimore.

    MATH  Google Scholar 

  6. Tandirci, M., Angeles J.and Ranjbaran, F., 1992, “The characteristic point and the characteristic length of robotic manipulators”, ASME Biennial Mechanisms Conference, September 13–16, Scottsdale, Vol. 45, pp. 203–208.

    Google Scholar 

  7. Husty, M. and Sachs, H., 1994a, “Abstandsprobleme zu windschiefen Geraden I”, Sb. d. österr. Akad. d. Wiss., accepted for publication.

    Google Scholar 

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© 1994 Springer Science+Business Media Dordrecht

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Husty, M.L., Angeles, J. (1994). Kinematic Isotropy in 3R Positioning Manipulators. In: Lenarčič, J., Ravani, B. (eds) Advances in Robot Kinematics and Computational Geometry. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8348-0_18

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  • DOI: https://doi.org/10.1007/978-94-015-8348-0_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4434-1

  • Online ISBN: 978-94-015-8348-0

  • eBook Packages: Springer Book Archive

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