Otimização estrutural mono e multi-objetivo de treliças considerando frequências naturais de vibração, carga crítica de flambagem e agrupamento ótimo de barras e materiais

Abstract

Nowadays, structural optimization problems have been more and more frequent. For example, it is desirable to minimize the cost and, simultaneously, to maximize the performance of these structures concerning their conditions of use and/or safety. Most of these problems present constraints that must be satisfied, such as stresses and displacements, natural frequencies of vibrations, load factors concerning the critical loads, among others. This dissertation aims to solve some structural optimization problems found in the literature besides proposing new ones. Mono and multi-objective optimization problems are analysed in the optimization classes such as sizing, shape, topology and/or configuration, isolated or simultaneously, of framed structures. The design variables can be continuous, discrete, or mixed. Also, the automatic grouping of bars and materials is one of the objectives of this work. In the multi-objective problems strategies are used for the extraction of the desired solutions by the Decision Maker from the Pareto curves. In order to solve such problems, the Third Evolution Step Differential Evolution (GDE3) and Craziness Based Particle Swarm Optimization algorithms were implemented coupling the Adaptive Penalty Method (APM) to handle the constraints. Comparisons of results are presented for the experiments previously found in the literature. In addition, new results are provided for future comparisons in the literature based on the proposition of new optimization problems in the context of this dissertation.