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Chapitre D'ouvrage Année : 2018

Hidden cusps

Résumé

This paper investigates a situation pointed out in a recent paper, in which a non-singular change of assembly mode of a planar 2-RPR-PR parallel manipulator was realized by encircling a point of multiplicity 4. It is shown that this situation is, in fact, a non-generic one and gives rise to cusps under a small perturbation. Furthermore , we show that, for a large class of singularities of multiplicity 4, there are only two types of stable singularities occurring in a small perturbation: these two types are given by the complex square mapping and the quarto mapping. Incidentally , this paper confirms the fact that, generically, a local non-singular change of solution must be accomplished by encircling a cusp point.
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Dates et versions

hal-01309185 , version 1 (29-04-2016)

Identifiants

Citer

Michel Coste, Philippe Wenger, Damien Chablat. Hidden cusps. Jadran Lenarcic; Jean-Pierre Merlet. Advances in Robot Kinematics 2016, 4, Springer, pp.129-138, 2018, Springer Proceedings in Advanced Robotics, 978-3-319-56801-0. ⟨10.1007/978-3-319-56802-7_14⟩. ⟨hal-01309185⟩
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