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An Algebraic Formulation for the Workspace Determination of General 4R Manipulators

  • M. Ceccarelli
Conference paper
Part of the International Centre for Mechanical Sciences book series (CISM, volume 361)

Abstract

An algebraic approach is proposed to deduce an algorithm for determining the workspace boundary of 4R manipulators. The boundary contour of a workspace is described as a function of the link parameters and one revolute joint angle only. Particularly, the proposed algorithm is useful to trace the cross-section so that the workspace characteristics, as shape, hole and voids, are immediately shown and analysed. Some examples prove the usefulness of the algorithm and illustrate some peculiarities of the workspace topology of general 4R manipulators.

Keywords

Algebraic Formulation Boundary Contour Algebraic Algorithm Workspace Analysis Toroidal Surface 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Kumar A., Waldron K.J., “The Workspace of a Mechanical Manipulator”, Jnl of Mechanical Design, July 1981, pp. 665–672.Google Scholar
  2. 2.
    Lee T.W., Yang D.C.H., “On the Evaluation of Manipulator Workspace”, Jnl of Mech. Transmi. Auto. in Design, March 1983, pp. 70–77.Google Scholar
  3. 3.
    Hansen J.A., Gupta K.C., Kazerounian S.M.K., “Generation and Evaluation of the Workspace of a Manipulator”, Int. Jnl of Robotics Research, 1983, Vol. 2, pp. 22–31.CrossRefGoogle Scholar
  4. 4.
    Tsai Y.C., Soni A.H., “An Algorithm for the Workspace of a General n-R Robot”, Jnl of Mech. Transmi. Auto. in Design, March 1983, pp. 52–57.Google Scholar
  5. 5.
    Kohly D., Hsu M.S., “The Jacobian Analysis of Workspace of Mechanical Manipulators”, Mechanism and Machine Theory, 1987, Vol. 22, n. 3, pp. 265–275.CrossRefGoogle Scholar
  6. 6.
    Rastegar J., “Workspace Analysis of 4R Manipulators with Various Degrees of Dexterity”, Jnl of Mech. Transmi. Auto. in Design, March 1988, pp. 42–47.Google Scholar
  7. 7.
    Ceccarelli M., “On the Workspace of 3R Robot Arms”, Proceedings of the Fifth IFToMM Symposium on Linkages and Computer Aided Design Methods, Bucharest, July 6–11 1989, VOl.II-1, pp. 37–46.Google Scholar
  8. 8.
    Freudenstein F., Primrose E.J.F., “On the Analysis and Synthesis of the Workspace of a Three-Link, Turning-Pair Connected Robot Arm”, Jnl of Mech. Transmi. Auto. in Design, Sept. 1984, pp. 365–370.Google Scholar
  9. 9.
    Gupta K.C., Roth B., “Design Considerations for Manipulator Workspace” Jnl. of Mechanical Design, Oct. 1982, pp. 704–711.Google Scholar
  10. 10.
    Rastegar J., Fardanesh B., “Manipulator Workspace Analysis Using the Monte Carlo Method”, Mechanism and Machine Theory, 1990, Vol. 25, n. 2, pp. 233–239.CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Wien 1995

Authors and Affiliations

  • M. Ceccarelli
    • 1
  1. 1.University of CassinoCassinoItaly

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