Affiliation:
1. Cornell University
2. Champlain Regional College and Université de Montréal
Abstract
For a tensegrity framework with bars, cables (unilateral tension members) and struts (unilateral compression members), this paper presents a sequence of four mathematical concepts for detecting its rigidity. In order from the strongest to the weakest, these concepts are called infinitesimal (or static) rigidity, prestress stability, second-order rigidity and rigidity. Emphasis is placed on pre-stress stability, which lies between infinitesimal rigidity and second-order rigidity.
Subject
Building and Construction,Architecture,Civil and Structural Engineering,Conservation
Cited by
18 articles.
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1. Rigidity percolation in a random tensegrity via analytic graph theory;Proceedings of the National Academy of Sciences;2023-11-21
2. Mathematics of stable tensegrity structures;Journal of Theoretical, Computational and Applied Mechanics;2023-05-06
3. Prestressed elasticity of amorphous solids;Physical Review Research;2022-12-12
4. Seventy years of tensegrities (and counting);Archive of Applied Mechanics;2022-07-04
5. Exploiting the Equilibrium Matrix to Ensure the Geometric Stability of Planar Trusses;Practice Periodical on Structural Design and Construction;2022-02