Comparison of algorithms for reliability-based structural optimization

Abstract

The design of reliable structures requires robust tools that allow the analysis of the behavior of the system subject to variability in its resistance and applied loads. For this, there are several formulations and computational algorithms that enable to model the structural behavior under uncertainties. Under these requirements, the most popular and reliable optimum design methodology is the reliability based optimization (RBO), which should be implemented through the combination of high fidelity mathematical or computational models, e.g. finite element models, efficient and accurate reliability estimation methods, and efficient and effective engineering optimization algorithms. Most RBO applications for structural optimization has the latest developments in efficient computational techniques for simulation and reliability calculations, however, although a variety of optimization methods exist, they generally do not perform a selection of the optimization algorithm more appropriate for each application. In this context, the main contribution of this article is the performing of a comparative study of the computational performance of optimization algorithms applied in structural optimization by RBO. The study compared the numerical performance of optimization algorithms in three problems. Compared algorithms correspond to derivative based algorithms, direct search algorithms, and bioinspired algorithms; including the most representative algorithms of each category. The results of the comparative study point out advantages and disadvantages of the use of the different types of algorithms and allow to conclude on the criteria that must be considered for the choice of an algorithm that favors the computational performance.