Optimal designs with topology optimisation

Master thesis (2022)

Authors

A.B.L. Frank Electrical Engineering, Mathematics and Computer Science

Contributors

D. den Ouden-van der Horst Numerical Analysis - EEMCS (coach)
Cornelis Vuik Delft Institute of Applied Mathematics (mentor)
H.M. Schuttelaars Mathematical Physics - EEMCS (graduation committee member)
João Machado Sioux (coach)
Faculty
Electrical Engineering, Mathematics and Computer Science, Electrical Engineering, Mathematics and Computer Science
Copyright: © 2022 Abel Frank
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Published Date

18-05-2022

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Abstract

The level-set approach in the field of topology optimisation has been studied thoroughly the last two decennia, but there is a lack of challenging standard benchmark problems. Besides two standard benchmark problems, this master's thesis tackles one difficult benchmark problem in particular: the inverter. For every benchmark the minimum compliance problem is solved numerically. A level-set based algorithm has been devised to detect if a structure has a discontinuity during the optimisation process. In addition to this, a prevention method is tested, yet the results are unsatisfactory.