On the determination of cusp points of 3-R\underline{P}R parallel manipulators

Abstract : This paper investigates the cuspidal configurations of 3-RPR parallel manipulators that may appear on their singular surfaces in the joint space. Cusp points play an important role in the kinematic behavior of parallel manipulators since they make possible a non-singular change of assembly mode. In previous works, the cusp points were calculated in sections of the joint space by solving a 24th-degree polynomial without any proof that this polynomial was the only one that gives all solutions. The purpose of this study is to propose a rigorous methodology to determine the cusp points of 3-R\underline{P}R manipulators and to certify that all cusp points are found. This methodology uses the notion of discriminant varieties and resorts to Gröbner bases for the solutions of systems of equations.
Type de document :
Article dans une revue
Mechanism and Machine Theory, Elsevier, 2010, 45 (11), pp.1555-1567. 〈10.1016/j.mechmachtheory.2010.06.016〉
Liste complète des métadonnées

Littérature citée [27 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-00545502
Contributeur : Damien Chablat <>
Soumis le : vendredi 10 décembre 2010 - 14:03:38
Dernière modification le : jeudi 17 janvier 2019 - 17:48:07
Document(s) archivé(s) le : vendredi 11 mars 2011 - 02:37:17

Fichiers

SiRoPa_revised.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Citation

Guillaume Moroz, Fabrice Rouillier, Damien Chablat, Philippe Wenger. On the determination of cusp points of 3-R\underline{P}R parallel manipulators. Mechanism and Machine Theory, Elsevier, 2010, 45 (11), pp.1555-1567. 〈10.1016/j.mechmachtheory.2010.06.016〉. 〈hal-00545502〉

Partager

Métriques

Consultations de la notice

1070

Téléchargements de fichiers

371