Equilibrium stressability of multidimensional frameworks

Karpenkov, Oleg ORCID: 0000-0002-3358-6998, Müller, Christian, Panina, Gaiane, Servatius, Brigitte, Servatius, Herman and Siersma, Dirk (2022) Equilibrium stressability of multidimensional frameworks. European Journal of Mathematics, 8 (1). pp. 33-61.

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Official URL: http://dx.doi.org/10.1007/s40879-021-00523-3

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.

Item Type:	Article
Additional Information:	30 pages, 13 figures
Uncontrolled Keywords:	52C25, 57Q99, math.MG, math.MG
Divisions:	Faculty of Science and Engineering > School of Physical Sciences
Depositing User:	Symplectic Admin
Date Deposited:	10 Aug 2022 14:47
Last Modified:	18 Jan 2023 20:53
DOI:	10.1007/s40879-021-00523-3
Open Access URL:	https://link.springer.com/article/10.1007/s40879-0...
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3160888