Abstract
This paper deals with the convergence of the Evolutionary Structural Optimization (ESO) and the Morphing ESO (MESO) solutions to the optimum in typical beam design problems. The ESO-based methods are very simple to implement via a computer code. Up to now, the ESO-based methods have been successfully applied for some structural optimization problems. There has not been presented any mathematical proof for the validity of the ESO-based methods yet. On the other hand, there are only a few optimization problems with exact analytical solutions for verifying the results of these methods. In this work, optimum shape of constant volume beams are obtained. It is shown that using different criteria, the optimum shapes obtained by the ESO and the MESO methods converge to the optimum.
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