HEURISTIC OPTIMIZATION VIA FEM FOR PROCEDURE DECISION OF THE OPTIMAL POSITIONING OF THE SUPPORTS
Rafael Silva e Souza1; Valério Silva Almeida1; Hélio Luiz Simonetti2
1 Polytechnic School of the University of São Paulo; 2 Federal Institute of Minas Gerais
doi:10.20906/CPS/CILAMCE2017-0325
Resumo
Stochastic optimization refers to a collection of methods for minimizing or maximizing an objective function when randomness is presented. This work aims to develop a program of computational optimization of the position of supports in Kirchhoff's plates, based on the finite element method, in order to minimize the steel area resistant to the bending moment, using genetic algorithms.These algorithms reproduce mathematically the mechanisms of natural selection of species. Methods like this have relative ease in finding the proximity of the global problem, however there is no guarantee that the global optimum is achieved with precision.Structural elements constituted of plates are widely used in structural engineering and it is of great interest to obtain optimization methods for their design. Thus, the results obtained using genetic algorithms will be compared with those obtained using the traditional method of armor sizing, verifying the applicability of this computational system. Structural elements constituted of plates are widely used in structural engineering, and it is of great interest to obtain optimization methods for their design. This work aims to develop a program of computational optimization of the position of supports in smooth slabs, based on the finite element method, in order to minimize the steel area resistant to the bending moment, using genetic algorithms. These algorithms reproduce mathematically the mechanisms of natural selection of species. Methods like this have relative ease in finding the proximity of the global problem of great, however there is no guarantee that the global optimum is achieved with precision. At the end of this article, the results obtained using genetic algorithms will be compared with those obtained using the traditional method of armor sizing, verifying the applicability of this computational system.
Palavras-chave: Plates; Optimization; Genetic Algorithms; Position of supports; Finite element method