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Planar Stewart Gough platforms with a type II DM self-motion

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Abstract

Due to previous publications of the author, it is already known that one-parametric self-motions of general planar Stewart Gough platforms can be classified into two so-called Darboux Mannheim (DM) types (I and II). Moreover, the author also proved the necessity of three conditions for obtaining a type II DM self-motion. Based on this result we determine in the article at hand, all general planar Stewart Gough platforms with a type II DM self-motion. This is an important step in the solution of the famous Borel Bricard problem.

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  1. Vienna University of Technology, Institute of Discrete Mathematics and Geometry, Wiedner Hauptstrasse 8-10/104, 1040, Vienna, Austria

    Georg Nawratil

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  1. Georg Nawratil
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Correspondence to Georg Nawratil.

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Nawratil, G. Planar Stewart Gough platforms with a type II DM self-motion. J. Geom. 102, 149–169 (2011). https://doi.org/10.1007/s00022-012-0106-6

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  • DOI: https://doi.org/10.1007/s00022-012-0106-6

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