2D Shape optimization via genetic algorithm

In this study, among different algorithms that have been introduced for obtaining optimal shapes and structures, an advanced optimization method for distinct shapes and also non-significant ones is illustrated. In order to investigate the efficiency of the method, a specific structural member (safety belt) is analyzed. The optimization process is to optimize the member via genetic algorithm, in order to have minimum weight; meanwhile having the ability to support the loading and also sustaining the generated tension stresses under the range of the allowable limit. The main goal of the present work is to focus on the existence of an optimal shape of the member optimized by genetic algorithm, having necessary conditions of optimality for a safety belt, and stability of optimal solutions under some prescribed perturbations.