# American Institute of Mathematical Sciences

April  2013, 6(2): 461-478. doi: 10.3934/dcdss.2013.6.461

## 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, Italy, Italy, Italy

Received  August 2011 Revised  March 2012 Published  November 2012

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.
Citation: Franco Maceri, Michele Marino, Giuseppe Vairo. Equilibrium and stability of tensegrity structures: A convex analysis approach. Discrete & Continuous Dynamical Systems - S, 2013, 6 (2) : 461-478. doi: 10.3934/dcdss.2013.6.461
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