On solving the direct kinematics problem for parallel

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Jun 6, 2006 - as black boxes several recent algorithms from computer algebra ... diffé rents algorithmes de calcul formel r é cents tels que F4/F5 pour le ... M ots-c lé s : Problème g é om é trique direct, Robot parallèle, R é solution de systèmes poly - ... determine the actuated joint variables as a function of the end - e ff ...
On solving the direct kinematics problem for parallel robots Jean-Charles Faug`ere, Jean-Pierre Merlet, Fabrice Rouillier

To cite this version: Jean-Charles Faug`ere, Jean-Pierre Merlet, Fabrice Rouillier. On solving the direct kinematics problem for parallel robots. [Research Report] RR-5923, 2006.

HAL Id: inria-00072366 https://hal.inria.fr/inria-00072366v2 Submitted on 6 Jun 2006

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INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE

On solving the direct kinematics problem for parallel robots Jean-Charles Faugère — Jean-Pierre Merlet — Fabrice Rouillier

N° 5923 May 2006

ISSN 0249-6399

apport de recherche

ISRN INRIA/RR--5923--FR+ENG

Thème SYM

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 R∞ = 

c2 −a2 −b2 c2 +a2 +b2 −2 c2 +abc2 +b2 2 c2 +aac2 +b2

−2 c2 +abc2 +b2 2 −b2 +c2 − ca2 +a 2 +b2 −2 c2 +aab2 +b2

 2 c2 +aac2 +b2  −2 c2 +aab2 +b2  2 2 2 −a − bc2 +c +a2 +b2

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Unité de recherche INRIA Rocquencourt Domaine de Voluceau - Rocquencourt - BP 105 - 78153 Le Chesnay Cedex (France) Unité de recherche INRIA Futurs : Parc Club Orsay Université - ZAC des Vignes 4, rue Jacques Monod - 91893 ORSAY Cedex (France) Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois - Campus scientifique 615, rue du Jardin Botanique - BP 101 - 54602 Villers-lès-Nancy Cedex (France) Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France) Unité de recherche INRIA Rhône-Alpes : 655, avenue de l’Europe - 38334 Montbonnot Saint-Ismier (France) Unité de recherche INRIA Sophia Antipolis : 2004, route des Lucioles - BP 93 - 06902 Sophia Antipolis Cedex (France)

Éditeur INRIA - Domaine de Voluceau - Rocquencourt, BP 105 - 78153 Le Chesnay Cedex (France)

  

  

ISSN 0249-6399

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