Título

Topology optimization algorithms for the solution of compliance and volume problems in 2D

Autor

MIGUEL ANGEL OCHOA MONTES

Nivel de Acceso

Acceso Abierto

Resumen o descripción

The thesis tackles the problem of structural design through topology optimization

methods. The main contributions are the following. Firstly, a

numerical benchmark is proposed considering the similarities of tests in the

related literature, every test of the benchmark is well-established and used

to compare the numerical and visual performance of the methods. Then,

an analysis of the local optimization method Solid Isotropic Material with

Penalization is carried out, in order to introduce two modications: 1) to

reduce the computational cost in problems of stiness maximization, and

2) to minimize the volume of the structures. Finally, a novel technique to

reduce the dimension of the problem through a proposal of a structure representation

is introduced. This representation is well suited for mono and

multi objective evolutionary algorithms in order to maximize stiness and

minimize volume. All the algorithms take advantages of parallel computing

to distribute the computational cost implied in the evaluation of solutions.

Fecha de publicación

13 de diciembre de 2016

Tipo de publicación

Tesis de maestría

Versión de la publicación

Versión aceptada

Formato

application/pdf

Repositorio Orígen

Repositorio Institucional CIMAT

Descargas

1865

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