Otimização de topologia de estruturas e componentes
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Data
2010-08-13
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Universidade Federal de Goiás
Resumo
Topology optimization (TO) is an optimization technique that aims to help the designer in the phase of structural conception, seeking a better distribution of one fixed amount of material in a extended design domain. It combines a method of structural analysis with a mathematical programming (MP) algorithm. In this work, structural analysis is done by Finite Element Method (FEM) and the solution algorithm employed is the Optimality Criteria (OC). One of
the main themes of research in TO refer to the regularization techniques, needed to make the solutions free of the classic numerical instabilities of the problem: the instability of the
checkerboard and mesh dependency. The goal of this work is study the traditional regularization techniques found in literature as the sensitivity filter by Sigmund, Continuous
Approximation of Material Distribution (CAMD) and projection techniques. A new projection technique is proposed in order to obtain solutions close to the void-solid form. The objective
function is the mean compliance of the structure, and is imposed a restriction on the total volume of material to be distributed. Is used the model Solid Isotropic Material with
Penalization (SIMP) to parameterize the distribution of isotropic materials, and their adaptation FGM-SIMP for functionally graded materials (FGM). To illustrate the behavior of these techniques examples of application are shown, fruits of the computational implementation.
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TRALDI, Marco Antônio Borges. Topology optimizatin of sctructures and components. 2010. 37 f. Dissertação (Mestrado em Engenharias) - Universidade Federal de Goiás, Goiânia, 2010.