Equilibrium and stability of tensegrity structures: A convex analysis approach

Franco Maceri; Michele Marino; Giuseppe Vairo

doi:10.3934/dcdss.2013.6.461

Article Contents

2013, Volume 6, Issue 2: 461-478. Doi: 10.3934/dcdss.2013.6.461

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Equilibrium and stability of tensegrity structures: A convex analysis approach

1.
Department of Civil Engineering, University of Rome "Tor Vergata", Via del Politecnico, 1 - 00133 Rome

Received: July 31, 2011

Revised: February 29, 2012

Published: March 2013

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Abstract

In this paper, tensegrity structures are modeled by introducing suitable energy convex functions. These allow to enforce both ideal and non-ideal constraints, gathering compatibility, equilibrium, and stability problems, as well as their duality relationships, in the same functional framework. Arguments of convex analysis allow to recover consistently a number of basic results, as well as to formulate new interpretations and analysis criterions.

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Mathematics Subject Classification: 74G65, 74G99, 70E50, 52A41, 52A41.

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