Publication

The forward kinematics of doubly-planar Gough-Stewart platforms and the position analysis of strips of tetrahedra

Conference Article

Conference

International Symposium on Advances in Robot Kinematics (ARK)

Edition

16th

Pages

124-132

Doc link

https://doi.org/10.1007/978-3-319-93188-3_15

File

Download the digital copy of the doc pdf document

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).

Categories

robots.

Author keywords

Position analysis, Closed-form solutions, Distance Geometry, Gough-Stewart platform

Scientific reference

J.M. Porta and F. Thomas. The forward kinematics of doubly-planar Gough-Stewart platforms and the position analysis of strips of tetrahedra, 16th International Symposium on Advances in Robot Kinematics, 2018, Bologna, Italy, in Advances in Robot Kinematics 2018, Vol 8 of Springer Proceedings in Advanced Robotics, pp. 124-132, 2019.