Application of the sequential parametric convex approximation method to the design of robust trusses

Alfredo Canelas (), Miguel Carrasco () and Julio López ()
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Alfredo Canelas: Universidad de la República
Miguel Carrasco: Universidad de los Andes
Julio López: Universidad Diego Portales

Journal of Global Optimization, 2017, vol. 68, issue 1, No 8, 169-187

Abstract: Abstract We study an algorithm recently proposed, which is called sequential parametric approximation method, that finds the solution of a differentiable nonconvex optimization problem by solving a sequence of differentiable convex approximations from the original one. We show as well the global convergence of this method under weaker assumptions than those made in the literature. The optimization method is applied to the design of robust truss structures. The optimal structure of the model considered minimizes the total amount of material under mechanical equilibrium, displacements and stress constraints. Finally, Robust designs are found by considering load perturbations.

Keywords: Sequential parametric convex approximation; Truss optimization; Robust design; Stress constraints (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10898-016-0460-2

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