Otimização de estruturas treliçadas geometricamente não lineares submetidas a carregamento dinâmico
Ano de defesa: | 2019 |
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Autor(a) principal: | |
Orientador(a): | |
Banca de defesa: | |
Tipo de documento: | Dissertação |
Tipo de acesso: | Acesso aberto |
Idioma: | por |
Instituição de defesa: |
Universidade Federal do Espírito Santo
BR Mestrado em Engenharia Civil Centro Tecnológico UFES Programa de Pós-Graduação em Engenharia Civil |
Programa de Pós-Graduação: |
Não Informado pela instituição
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Departamento: |
Não Informado pela instituição
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País: |
Não Informado pela instituição
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Palavras-chave em Português: | |
Link de acesso: | http://repositorio.ufes.br/handle/10/11270 |
Resumo: | This study addresses the optimization of lattice structures with geometrically nonlinear behavior under dynamic loading. The formulated optimization problem aims to determine the cross-sectional area of the bars which minimizes the total mass of the structure, imposing constraints on nodal displacements and stresses. In order to solve this optimization problem, it was developed a computational program on MATLAB®, using the Interior Point method and the Sequential Quadratic Programming method, the algorithms of which are available on Optimization Toolbox™. It was included routines for grouping the bars and to convert the optimal solution obtained using continuous design variables in commercial values of structural hollow-sections. The space truss nonlinear finite element is described by an updated Lagrangian formulation. The implemented geometric nonlinear dynamic analysis procedure combines Newmark’s method with Newton-Raphson type iterations, being validated by comparison with solutions available in the literature and with solutions obtained using ANSYS® software. Examples of plane and space trusses under different dynamic loading are solved using the developed computational program. The results show that: the Sequential Quadratic Programming method is the most efficient to solve the studied optimization problem, consideration of structural damping can lead to a significant reduction in the total mass, the use of the conversion procedure for commercial sections provides solutions in favor of security and the grouping of bars generates a satisfactory duration for the optimization process. |