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

Institut für Symbolisches Rechnen

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

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 .

Originalsprache	Englisch
Seiten (von - bis)	211-228
Seitenumfang	18
Fachzeitschrift	Journal of Geometry
Volume	106
Ausgabenummer	2
DOIs	https://doi.org/10.1007/s00022-014-0243-1
Publikationsstatus	Veröffentlicht - 08 Juli 2015

Wissenschaftszweige

101 Mathematik
101001 Algebra
101005 Computeralgebra
101009 Geometrie
101012 Kombinatorik
101013 Mathematische Logik
101020 Technische Mathematik

JKU-Schwerpunkte

Computation in Informatics and Mathematics

Zugriff auf Dokument

10.1007/s00022-014-0243-1

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Verknüpfung zur Publikation in Scopus

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