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Int. J. Simul. Multidisci. Des. Optim. 1, 19-29 (2007)
DOI: 10.1051/ijsmdo:2007003
Reliability based robust design optimization of steel structures
Nikos D. Lagaros, Vagelis Plevris and Manolis PapadrakakisInstitute of Structural Analysis & Seismic Research, National Technical University of Athens, 9, Iroon Polytechniou Str., Zografou Campus, GR-15780 Athens, Greece
(Received 21 August 2007; accepted 15 September 2007; published online12 December 2007)
Abstract
In this work the uncertainty of a structural system is
taken into account in the framework of a structural Reliability based Robust
Design Optimization (RRDO) formulation where probabilistic constraints are
incorporated into the robust design optimization formulation. A robust
design optimization problem is formulated as a multi-criteria optimization
problem. The Pareto front representing the solution of the RRDO problem is
composed by designs with a state of robustness, since their performance is
the least sensitive to the variability of the uncertain variables. The cross
section dimensions together with other structural parameters, such as the
modulus of elasticity, the yield stress and the applied loading, are
considered as random variables. For the solution of the RRDO problem, the
non-dominant Cascade Evolutionary Algorithm is employed combined with a
weighted Tchebycheff metric.
Key words: Probabilistic constraints -- robust design optimization -- cascade evolutionary algorithms -- Monte Carlo simulation
Correspondence: nlagaros@central.ntua.gr
vplevris@central.ntua.gr
mpapadra@central.ntua.gr
© ASMDO, EDP Sciences 2007