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Otimização de Configuração de Estruturas Reticuladas
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Orientador(es)
Resumo(s)
A presente dissertação tem como principal objetivo explorar a capacidade do programa
PROAES calcular as derivadas das funções objetivo e constrangimento em relação a variáveis
de configuração para resolver exemplos que combinam simultaneamente otimização de con-
figuração e otimização topológica ou robusta de estruturas reticuladas.
A otimização de configuração de estruturas reticuladas constituídas por barras está as-
sociada à seleção mais adequada da orientação do eixo de cada um dos elementos na estru-
tura e, num modelo de elementos finitos, as variáveis de configuração permitem modificar a
orientação no espaço dos referenciais locais dos respetivos elementos estruturais. Este tipo de
solução para otimizar o desempenho das estruturas, torna-se particularmente interessante
quando combinada com otimização topológica, que permite que seja adicionado ou removido
material dentro de um domínio de projeto, o que significa que quando ambas as otimizações
se combinam surgem resultados bastante interessantes. A combinação foi também efetuada
conjuntamente com otimização baseada em incerteza, de forma a enriquecer o estudo.
De forma a testar a aplicabilidade destes conceitos de otimização simultaneamente, bem
como averiguar as potencialidades das metodologias criadas, foram realizados diferentes tes-
tes em estruturas compostas por elementos barra 2D e 3D recorrendo a casos de estudo refe-
renciados na bibliografia, tendo sido criado um caso de estudo de raiz. Os resultados obtidos
revelam um bom desempenho do programa e validam as metodologias utilizadas.
The main objective of this dissertation is to explore the capabilities of the PROAES Pro- gram to calculate the gradients of objective and constraint functions with regard to configura- tion design variables to solve problems that involve simultaneously, Shape Optimization, To- pology Optimization and Robust Optimization. Shape Optimization of Truss Structures is associated with the most accurate selection of the axis of every single one of the elements that are part of the Truss Structure. That is con- nected with shape variables, which happen every time that the space orientation of local refe- rentials of the finite elements are modified. This type of solution, which has the objective of improving structural performance, is particularly interesting when combined with Topology Optimization. This later method allows material to be added or removed from the initial struc- ture within the project boundaries, which means that when the two types of Optimization are combined the potential results of the final structure are very interesting. It was also tested the possibility of combination with methods that regard uncertainty considerations in order to have a richer content in this study. In order to test the applicability of these concepts simultaneously as well as to test the potential results of the created methodologies some tests in 2D and 3D Truss Structures were developed from previous studies obtained in the literature and another case study was fully created. The results obtained show a good performance of the program and validate the used and developed methodologies.
The main objective of this dissertation is to explore the capabilities of the PROAES Pro- gram to calculate the gradients of objective and constraint functions with regard to configura- tion design variables to solve problems that involve simultaneously, Shape Optimization, To- pology Optimization and Robust Optimization. Shape Optimization of Truss Structures is associated with the most accurate selection of the axis of every single one of the elements that are part of the Truss Structure. That is con- nected with shape variables, which happen every time that the space orientation of local refe- rentials of the finite elements are modified. This type of solution, which has the objective of improving structural performance, is particularly interesting when combined with Topology Optimization. This later method allows material to be added or removed from the initial struc- ture within the project boundaries, which means that when the two types of Optimization are combined the potential results of the final structure are very interesting. It was also tested the possibility of combination with methods that regard uncertainty considerations in order to have a richer content in this study. In order to test the applicability of these concepts simultaneously as well as to test the potential results of the created methodologies some tests in 2D and 3D Truss Structures were developed from previous studies obtained in the literature and another case study was fully created. The results obtained show a good performance of the program and validate the used and developed methodologies.
Descrição
Palavras-chave
Otimização de Topologia Otimização de Configuração Otimização Robusta Otimização Estrutural Estruturas Reticuladas Otimização combinada