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Singular surfaces and cusps in symmetric planar 3-RPR manipulators
Coste M., Wenger P., Chablat D.
in IEEE/RSJ International Conference on Intelligent Robots and Systems - IEEE/RSJ International Conference on Intelligent Robots and Systems, San Franisco : United States (2011) - http://hal.archives-ouvertes.fr/hal-00610313
Communications avec actes
Informatique/Robotique
Singular surfaces and cusps in symmetric planar 3-RPR manipulators
Michel Coste 1, Philippe Wenger () 2, Damien Chablat ( ) 2
1 :  Institut de Recherche Mathématique de Rennes (IRMAR)
http://irmar.univ-rennes1.fr/
CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne
France
2 :  Institut de Recherche en Communications et en Cybernétique de Nantes (IRCCyN)
http://www.irccyn.ec-nantes.fr/
CNRS : UMR6597 – PRES Université Nantes Angers Le Mans [UNAM] – École Centrale de Nantes – École Nationale Supérieure des Mines - Nantes – Ecole Polytechnique de l'Université de Nantes
1, rue de la Noë BP92101 44321 Nantes Cedex 03
France
Géométrie algébrique réelle
We study in this paper a class of 3-RPR manipulators for which the direct kinematic problem (DKP) is split into a cubic problem followed by a quadratic one. These manipulators are geometrically characterized by the fact that the moving triangle is the image of the base triangle by an indirect isometry. We introduce a specific coordinate system adapted to this geometric feature and which is also well adapted to the splitting of the DKP. This allows us to obtain easily precise descriptions of the singularities and of the cusp edges. These latter second order singularities are important for nonsingular assembly mode changing. We show how to sort assembly modes and use this sorting for motion planning in the joint space.
Anglais
25/03/2011

IEEE/RSJ International Conference on Intelligent Robots and Systems
internationale
25/09/2011
1-6

IEEE/RSJ International Conference on Intelligent Robots and Systems
25/09/2011
30/09/2011
San Franisco
États-Unis

Parallel robot – singularity – nonsingular assembly mode changing

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