Name
Abstract | ||
|---|---|---|
This paper deals with the old and classical problem of determining necessary conditions for the overconstrained mobility of some mechanical device. In particular, we show that the mobility of pentapods/hexapods implies either a collinearity condition on the anchor points, or a geometric condition on the normal projections of base and platform points. The method is based on a specific compactification of the group of direct isometries of \({\mathbb{R}^{3}}\). |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1007/s00022-014-0243-1 | Journal of Geometry |
Keywords | Field | DocType |
53A17 (Kinematics), 14L35 (Classical groups), 14P99 (Real algebraic geometry), Stewart Gough platform, n-pods, self-motion, compactification of SE3 | Topology,Collinearity,Isometry,Compactification (physics),Geometry,Mathematics | Journal |
Volume | Issue | ISSN |
abs/1404.2149 | 2 | 1420-8997 |
Citations | PageRank | References |
2 | 0.72 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Matteo Gallet | 1 | 14 | 5.19 |
| Georg Nawratil | 2 | 22 | 5.94 |
| Josef Schicho | 3 | 121 | 21.43 |