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A distance geometry approach to the singularity analysis of 3R robots
dc.contributor.author | Thomas, Federico |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament d'Enginyeria de Sistemes, Automàtica i Informàtica Industrial |
dc.date.accessioned | 2016-02-05T09:51:05Z |
dc.date.issued | 2015 |
dc.identifier.citation | Thomas, F. A distance geometry approach to the singularity analysis of 3R robots. "Journal of mechanisms and robotics", 2015, vol. 8, núm. 1, p. 1-11. |
dc.identifier.issn | 1942-4302 |
dc.identifier.uri | http://hdl.handle.net/2117/82602 |
dc.description.abstract | This paper shows how the computation of the singularity locus of a 3R robot can be reduced to the analysis of the relative position of two coplanar ellipses. Since the relative position of two conics is a projective invariant, and the basic projective geometric invariants are determinants, it is not surprising that, using Distance Geometry, the computation of the singularity locus of a 3R robot can be fully expressed in terms of determinants. Geometric invariants have the benefit of simplifying symbolic manipulations. This paper shows how their use leads to a simpler characterization, compared to previous approaches, of the cusps and nodes in the singularity loci of 3R robots. |
dc.format.extent | 11 p. |
dc.language.iso | eng |
dc.publisher | ASME PRESS |
dc.subject | Àrees temàtiques de la UPC::Informàtica::Robòtica |
dc.subject.lcsh | Robots -- Kinematics |
dc.subject.other | Automation |
dc.subject.other | Wrist-partitioned robots |
dc.subject.other | 3R robots |
dc.subject.other | Cuspidal robots |
dc.subject.other | Singularities |
dc.subject.other | Cusps |
dc.subject.other | Nodes |
dc.subject.other | Distance geometry |
dc.subject.other | Coordinate-free formulations |
dc.title | A distance geometry approach to the singularity analysis of 3R robots |
dc.type | Article |
dc.subject.lemac | Robots -- Cinemàtica |
dc.contributor.group | Universitat Politècnica de Catalunya. KRD - Cinemàtica i Disseny de Robots |
dc.identifier.doi | 10.1115/1.4029500 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://mechanismsrobotics.asmedigitalcollection.asme.org/article.aspx?articleID=2482581 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 17411323 |
dc.description.version | Postprint (published version) |
dc.date.lift | 10000-01-01 |
local.citation.author | Thomas, F. |
local.citation.publicationName | Journal of mechanisms and robotics |
local.citation.volume | 8 |
local.citation.number | 1 |
local.citation.startingPage | 1 |
local.citation.endingPage | 11 |
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