Comptes Rendus
Convex analysis and ideal tensegrities
Comptes Rendus. Mécanique, Volume 339 (2011) no. 11, pp. 683-691.

A theoretical framework based on convex analysis is formulated and developed to study tensegrity structures under steady-state loads. Many classical results for ideal tensegrities are rationally deduced from subdifferentiable models in a novel mechanical perspective. Novel energy-based criteria for rigidity and pre-stressability are provided, allowing to formulate numerical algorithms for computations.

Reçu le :
Accepté le :
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DOI : 10.1016/j.crme.2011.07.009
Mots clés : Solids and structures, Tensegrities, Convex analysis, Free-energy of ideal constraints, Unilateral problems
Franco Maceri 1 ; Michele Marino 1 ; Giuseppe Vairo 1

1 Department of Civil Engineering, University of Rome “Tor Vergata”, via del Politecnico 1, 00133 Roma, Italy
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Franco Maceri; Michele Marino; Giuseppe Vairo. Convex analysis and ideal tensegrities. Comptes Rendus. Mécanique, Volume 339 (2011) no. 11, pp. 683-691. doi : 10.1016/j.crme.2011.07.009. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2011.07.009/

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[17] D.E. Ingber Tensegrity-based mechanosensing from macro to micro, Progress in Biophysics and Molecular Biology, Volume 97 (2008), pp. 163-179

[18] G. Vairo A closed-form refined model of the cablesʼ nonlinear response in cable-stayed structures, Mechanics of Advanced Materials and Structures, Volume 16 (2009), pp. 456-466

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