Evolução diferencial aplicada a minimização de massa de treliças com restrições nas frequências naturais e de cardinalidade

• Autor(a) principal: Almeida, Vinicius Kreischer de
• Data de Publicação: 2016
• Tipo de documento: Dissertação
• Idioma: por
• Título da fonte: Biblioteca Digital de Teses e Dissertações do LNCC
• Texto Completo: https://tede.lncc.br/handle/tede/232
• topic: Otimização estrutural; Evolução diferencial; Differential evolution; Structural otimization; CNPQ::CIENCIAS EXATAS E DA TERRA::CIENCIA DA COMPUTACAO::MATEMATICA DA COMPUTACAO::MATEMATICA SIMBOLICA

The objective of structural optimization is to obtain economical structures which also satisfy specific performance requirements. It involves the search for optimal values for the design variables in order to minimize, or maximize, some measure of interest modeled via an objective function. Frequently, such problems involve constraints which must be satisfied so that a solution can be considered feasible. In addition, the objective function and/or constraints are often not available as explicit expressions of the design variables, and must be evaluated via a simulator. Hence, the choice of the optimization technique must take into account such features. Differential Evolution can be seen as an interesting choice, since it has been obtaining good results in problems in different fields of study. In this work, the results obtained by different variants of the original DE algorithm, when applied to problems of mass minimization of trusses subject to constraints on their natural vibration frequency, are analysed and compared to those reported in the literature. In view of the practical interest in limiting the number of different values found for the design variables in the final solution, it is also investigated the effect of this cardinality constraint (not addressed in the literature) on the structural mass obtained by the algorithm.