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Equilibrium stressability of multidimensional frameworks

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Publication date

2022-03

Authors

Karpenkov, Oleg
Müller, Christian
Panina, Gaiane
Servatius, Brigitte
Servatius, Herman
Siersma, DirkISNI 0000000116400912

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DOI

https://doi.org/10.1007/s40879-021-00523-3

Document Type

Article

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Abstract

We prove an equilibrium stressability criterion for trivalent multidimensional frameworks. The criterion 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.

Keywords

Cayley algebra, Discrete multiplicative 1-form, Equilibrium stress, Framework, Lifting, Maxwell–Cremona correspondence, Self-stress, Tensegrity, General Mathematics

Citation

Karpenkov, O, Müller, C, Panina, G, Servatius, B, Servatius, H & Siersma, D 2022, 'Equilibrium stressability of multidimensional frameworks', European Journal of Mathematics, vol. 8, no. 1, pp. 33-61. https://doi.org/10.1007/s40879-021-00523-3

URI

http://hdl.handle.net/1874/420943