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Abstract

In the classification problem of architecture singular parallel manipulators there is a qualitative difference between the planar and non-planar cases. The classification of planar ones was already given in (Karger, Husty, 1997), this contribution is devoted to the non-planar case. It is conjectured that non-planar architecture singular parallel manipulators consist (up to two trivial cases) of degenerated parallel manipulator to which arbitrary legs up to number six are added. A list of degenerated parallel manipulators can be seen in Fig. 2.

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References

  • Borel E. (1992), Mémoire sur les déplacements à trajectoires sphérigues. Mém. présentés par divers savants, Paris (2), 33, 1–128.

    MathSciNet  Google Scholar 

  • Bricard R. (1906), Mémoire sur les déplacements à trajectoires sphériques. Journ. École Polyt. (2), 11, 1–96.

    Google Scholar 

  • Gough V.E. (1956), Contribution to Discussion to Papers on Research in Automobile Stability and Control in Tyre Performance. By Cornell Staff, Proc. AutoDiv. Inst. Mech. Eng., 392-395.

    Google Scholar 

  • Husty, M.L. (1994), An Algorithm for Solving the Direct Kinematic of General Stewart-Gough Platforms. Mechanism and Machine Theory, vol. 31, No. 4, (1996), 365–380.

    Article  Google Scholar 

  • Karger A., Husty M.L. (1996), On Self-Motions of a Class of Parallel Manipulators. Procc. of the 5th ARK Conference, 339-348, Portoroz, Slovenija.

    Google Scholar 

  • Karger A., Husty M.L. (1997), Singularities and Self-motions of Stewart-Gough Platforms. Computational methods in Kinematics. Eds. J. Angeles, E. Zakhariev, vol.II, 279-288. NATO Advanced Study Institute, Varna, Bulgaria, June 16–28.

    Google Scholar 

  • Ma O., Angeles J. (1992), Architecture Singularities of Parallel Manipulators. Int. Journal of Robotics and Automation 7, 23–29.

    Google Scholar 

  • Stewart D. (1965), A Platform with Six Degrees of Freedom. Proc. of the Inst. of Mech. Eng. 180 (1), 371–386.

    Article  Google Scholar 

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© 1998 Springer Science+Business Media Dordrecht

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Karger, A. (1998). Architecture Singular Parallel Manipulators. In: Lenarčič, J., Husty, M.L. (eds) Advances in Robot Kinematics: Analysis and Control. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9064-8_45

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  • DOI: https://doi.org/10.1007/978-94-015-9064-8_45

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5066-3

  • Online ISBN: 978-94-015-9064-8

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