EVOLUTIONARY STRUCTURAL OPTIMIZATION OF ELASTIC STRUCTURES 2D USING STRAIN ENERGY CRITERION
Hélio Luiz Simonetti1; Valério Silva Almeida2; Francisco de Assis das Neves3
1 IFMG; 2 USP; 3 UFOP
doi:10.20906/CPS/CILAMCE2017-0156
Resumo
The Smoothing Evolutionary Structural Optimization (SESO) technique was extended to solve 2D elastic problems with strain energy criterion. Optimization procedure is based on the progressive reduction of the stiffness contribution of inefficient elements with the lower values of strain energy until it has no more influence. A brief review of the linear elastic formulation, where the goal is to maximize stiffness of a fixed-mass system by minimizing internal strain energy or equivalently external work is realized. In the application examples, optimal topology of a MBB beam is analyzed considering self-weight of the structure. A Short cantilever and Short corbel, are presented and evaluation is finished with the definition of a strut-and-tie model resulting from the regions of strain energy concentration for one of the examples. The optimal settings obtained demonstrate the robustness of the optimization procedure.
Palavras-chave: Topological Optimization; Finite Element Method; Strain Energy; SESO