Convex analysis and ideal tensegrities

Franco Maceri; Michele Marino; Giuseppe Vairo

doi:10.1016/j.crme.2011.07.009

Convex analysis and ideal tensegrities

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

Comptes Rendus. Mécanique, Volume 339 (2011) no. 11, pp. 683-691.

Résumé

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 : 2011-04-06
Accepté le : 2011-07-28
Publié le : 2011-08-19

DOI : 10.1016/j.crme.2011.07.009

Mots clés : Solids and structures, Tensegrities, Convex analysis, Free-energy of ideal constraints, Unilateral problems

Affiliations des auteurs :

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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