TOPOLOGY OPTIMIZATION WITH SEQUENTIAL LINEAR PROGRAMMING
Renato Massamitsu Zama Inomata1; Paulo Domingos Conejo1; Simone Aparecida Miloca1; Paula Yumi Takeda1
1 UNIOESTE - Universidade Estadual do Oeste do Paraná
doi:10.20906/CPS/CILAMCE2017-0421
Resumo
Optimization problems are quite common in many areas of knowledge. In particular, topology optimization provides structural conceptions to engineering based on the characteristic to be optimized and the respective physical or constructive constraints of the problem. A classic problem about this subject is to obtain the most compliant structure given a certain amount of material to be utilized, and one of the usual approaches is the optimization of a two dimensional beam. In this work we detail the theoretical results in this space and expand them to three dimensions. Some numerical tests was performed, obtaining results for different problems, varying the design domain, which is the region that delimits the problem. The finite element method was used for the discretization of the problems, associated to the density method with isotropic materials. For the optimization, a Sequential Linear Programming method was adopted, since the problem presents linear constraints, making it easy to use.
Palavras-chave: Topology Optimization; Sequential Programming ; Structures