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Issue Int. J. Simul. Multi. Design Optim.
Volume 3, Number 3, July 2009
Page(s) 363 - 369
DOI 10.1051/ijsmdo/2009012
Published online 21 October 2009

Int. J. Simul. Multidisci. Des. Optim. 3, 363-369 (2009)
DOI: 10.1051/ijsmdo/2009012

Control of the finite element discretization error during the convergence of structural shape optimization algorithms

Gabriel Bugeda1, 2, Juan José Ródenas3, José Albelda3 and Eugenio Oñate2

1  Escola Universitària d'Enginyeria Tècnica Industrial de Barcelona (EUETIB), Universitat Politècnica de Catalunya (UPC), C/ Comte d'Urgell, 187, 08036, Barcelona, Spain
2  International Center for Numerical Methods in Engineering (CIMNE), Universitat Politècnica de Catalunya (UPC), C/ Gran Capitàn s/n, Campus Nord UPC, Módulo C1, 08034, Barcelona, Spain
3  Centro de Investigación de Tecnología de Vehículos (CITV), Universidad Politècnica de Valencia (UPV), Camino de Vera s/n, 46022, Valencia, Spain


Received 20 May 2009, Accepted 12 August 2009; published online 21 October 2009

Abstract
This work analyzes the influence of the discretization error contained in the Finite Element (FE) analyses of each design configuration proposed by structural shape optimization algorithms over the behaviour of the algorithm. If the FE analyses are not accurate enough, the final solution will neither be optimal nor satisfy the constraints. The need for the use of adaptive FE analysis techniques in shape optimum design will be shown. The paper also proposes the use of the algorithm described in [1] in order to reduce the computational cost associated to the adaptive FE analysis of each geometrical configuration when evolutive optimization algorithms are used.



Key words: Structural shape optimization -- Adaptive remeshing -- Sensitivity analysis -- Evolutionary algorithms

Correspondence: bugeda@cimne.upc.edu


© ASMDO 2009


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