Bond theory for pentapods and hexapods

Matteo Gallet; G. Nawratil; Josef Schicho

doi:10.1007/s00022-014-0243-1

Bond theory for pentapods and hexapods

Matteo Gallet, G. Nawratil, Josef Schicho

Research Institute for Symbolic Computation

Research output: Contribution to journal › Article › peer-review

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 R3 .

Original language	English
Pages (from-to)	1-18
Number of pages	18
Journal	Journal of Geometry
DOIs	https://doi.org/10.1007/s00022-014-0243-1
Publication status	Published - 2015

Fields of science

101 Mathematics
101001 Algebra
101005 Computer algebra
101009 Geometry
101012 Combinatorics
101013 Mathematical logic
101020 Technical mathematics

JKU Focus areas

Computation in Informatics and Mathematics

Access to Document

10.1007/s00022-014-0243-1

Cite this

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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 R3 .",

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AB - 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 R3 .

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JF - Journal of Geometry

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