3.8 Article

Equilibrium stressability of multidimensional frameworks

期刊

EUROPEAN JOURNAL OF MATHEMATICS
卷 8, 期 1, 页码 33-61

出版社

SPRINGER INT PUBL AG
DOI: 10.1007/s40879-021-00523-3

关键词

Framework; Tensegrity; Equilibrium stress; Self-stress; Discrete multiplicative 1-form; Cayley algebra; Maxwell-Cremona correspondence; Lifting

资金

  1. Austrian Science Fund (FWF) [P 29981]
  2. TU Wien Bibliothek

向作者/读者索取更多资源

We prove an equilibrium stressability criterion for trivalent multidimensional frameworks, which can be expressed in different ways.
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.

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