Equilibrium stressability of multidimensional frameworks

Authors :: Karpenkov, Oleg
Müller, Christian
Panina, Gaiane
Servatius, Brigitte
Servatius, Herman
Siersma, Dirk
Sub Fundamental Mathematics
Fundamental mathematics
Sub Fundamental Mathematics
Fundamental mathematics
Source :: European Journal of Mathematics, European Journal of Mathematics, 8(1), 33. Versita
Publication Year :: 2022
Abstract: We prove an equilibrium stressability criterium for trivalent multidimensional tensegrities. The criterium appears in different languages: (1) in terms of stress monodromies, (2) in terms of surgeries, (3) in terms of exact discrete 1-forms, and (4) in Cayley algebra terms.<br />Comment: 30 pages, 13 figures

Subjects :: Tensegrity
Mathematics(all)
Lifting
General Mathematics
Cayley algebra
Framework
Metric Geometry (math.MG)
Mathematics::Geometric Topology
52C25, 57Q99
Discrete multiplicative 1-form
Equilibrium stress
Mathematics - Metric Geometry
Self-stress
FOS: Mathematics
Maxwell–Cremona correspondence

Language :: English
ISSN :: 2199675X
Database :: OpenAIRE
Journal :: European Journal of Mathematics, European Journal of Mathematics, 8(1), 33. Versita
Accession number :: edsair.doi.dedup.....1a7edabe3f76dd739a6b551784391187

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