Metodo da homogeneização aplicado a otimização estrutural topologica / Homogenization method applied to structural topology optimization

AUTOR(ES)

Eduardo Castelo Branco Porto

DATA DE PUBLICAÇÃO

2006

RESUMO

This work aims to investigate and implement a structural topology optimization method based on microstructures. Two microstructure models are introduced in the optimal design problem: one orthotropic with holes, by homogenization, and other isotropic with penalization, by artificial constitutive equation. An implemented iterative program, based on the homogenization approach, determines the effective mechanical properties of each material model. Structural analyses are performed by using the finite element method and optimal topologies are obtained using an optimizer based on optimality criteria. Investigations concerning the parameters related to the homogenization technique are carried out. Linear elastic static and dynamic problems of structures in plane stress state are solved as well, concerning stiffness and natural frequency design criteria and with a constraint on volume. The solution of classic structural problems encountered in literature has demonstrated the effectiveness of the implemented Matlab codes and the implementation of the orthotropic and isotropic material models has made possible the investigation of the main characteristics and potentialities of each approach

ASSUNTO(S)

topology optimization otimização estrutural homogenization method homogeneização (equações diferenciais) finite element method metodo dos elementos finitos

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