Título:	Otimização de estruturas contínuas bidimensionais pelo método dos elementos de contorno
Autor(es):	Santos Júnior, Jarbas de Carvalho
Orientador(es):	Bezerra, Luciano Mendes
Assunto:	Método dos elementos de contorno Otimização de forma
Data de publicação:	26-Mar-2020
Data de defesa:	7-Jun-2002
Referência:	SANTOS JÚNIOR, Jarbas de Carvalho. Otimização de estruturas contínuas bidimensionais pelo método dos elementos de contorno. 2002. xiv, 91 f., il. Dissertação (Mestrado em Estruturas e Construção Civil)—Universidade de Brasília, Brasília, 2002.
Abstract:	In this work. the Boundary Element Methods (BEM) is applied to problems of geometric optimization in two-dimensional contínuos structural systems. A mathematical formulations based on the BEM and in deterministic optimizations techniques of order zero and one is proposed. The optimal characterizations of the geometric configuration of the structure is obtained with the minimization of an objective function. This function is written in terms of referential stress located at points in the internai or at the boundary of structure. The process of geometric optimization of the structure is accomplished through a gradual reduction of the difference between the referential stresses and the stresses calculated by the BEM. In the proposed formulation. the geometric is expressed in terms of design variables which values are iteratively modified until a configuration that minimizes the objective functions approximates the calculated stress values to the reference values. The designs variables should always comply with certain limits and. therefore. always be inside a feasible domain. Such restrictions are enforced by the used of a penalty function augmented to the objective function. In addition. some heuristic rules are used so that the searching step during the minimization process will limit the design variables to feasible domain. The use of the BEM for problems of geometric optimization of structure is quite attractive in relation to the other methods that inevitably discretize the whole contínuos, i.e., the Finite Element Method and the Finite Difference. When bodv forces are not signifícant. the BEM discretizes just the boundary the structure. During the process of objective functions minimization. the geometric of the structure undergoes a sequence of topological modifications that. accordingly. should be accompanied with the appropriate discretization. With the BEM such modifications are easv to do while in formulations using the Finite Element or Finite Difference methods such mesh modification tum out to be a cumbersome process. In this work. several examples of the applications of the proposed formulation to the practical situations are presented together with some conclusions and suggestions for future works.
Unidade Acadêmica:	Faculdade de Tecnologia (FT) Departamento de Engenharia Civil e Ambiental (FT ENC)
Informações adicionais:	Dissertação (mestrado)—Universidade de Brasília, Faculdade de Tecnologia, Departamento de Engenharia Civil e Ambiental, 2002.
Programa de pós-graduação:	Programa de Pós-Graduação em Estruturas e Construção Civil
Aparece nas coleções:	Teses, dissertações e produtos pós-doutorado

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