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The Forward Kinematics of Doubly-Planar Gough-Stewart Platforms and the Position Analysis of Strips of Tetrahedra

Authors: Porta Pleite, Josep Maria; Thomas, Federico;

The Forward Kinematics of Doubly-Planar Gough-Stewart Platforms and the Position Analysis of Strips of Tetrahedra

Abstract

A strip of tetrahedra is a tetrahedron-tetrahedron truss where any tetrahedron has two neighbors except those in the extremes which have only one. The problem of finding all the possible lengths for an edge in the strip compatible with a given distance imposed between the strip end-points has been revealed of relevance due to the large number of possible applications. In this paper, this is applied to solve the forward kinematics of 6-6 Gough-Stewart platforms with planar base and moving platform, a problem which is known to have up to 40 solutions (20 if we do not consider mirror configurations with respect to the base as different solutions).

The final publication is available at link.springer.com

Peer Reviewed

Country
Spain
Keywords

Àrees temàtiques de la UPC::Informàtica::Robòtica, Classificació INSPEC::Automation::Robots, :Automation::Robots [Classificació INSPEC], Distance Geometry, Position analysis, Closed-form solutions, Gough-Stewart platform, Distance geometry, :Informàtica::Robòtica [Àrees temàtiques de la UPC], Robots

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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