Towards Manufacturing-Friendly Shapes in Discrete Topology Optimization

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Hauptverfasser: Neuman, Vojtech, Capek, Miloslav, Jelinek, Lukas
Format: Preprint
Veröffentlicht: 2025
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author Neuman, Vojtech
Capek, Miloslav
Jelinek, Lukas
author_facet Neuman, Vojtech
Capek, Miloslav
Jelinek, Lukas
contents This paper deals with shape irregularity issues in discrete topology optimization algorithms whereby the design is created using the automated distribution of material in the design region. Graph theory is employed to derive appropriate regularity measures for any discrete optimization algorithm. Shape regularity is quantified by scalar figures ready to evaluate design choices in the form of Pareto-frontiers. Developed metrics deal with information concerning material usage, problematic distribution, and features that complicate manufacturing. The theory is verified by several examples demonstrating the treatment of isolated islands of materials, point connections between material segments, or homogeneity.
format Preprint
id arxiv_https___arxiv_org_abs_2503_10133
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Towards Manufacturing-Friendly Shapes in Discrete Topology Optimization
Neuman, Vojtech
Capek, Miloslav
Jelinek, Lukas
Information Theory
Numerical Analysis
This paper deals with shape irregularity issues in discrete topology optimization algorithms whereby the design is created using the automated distribution of material in the design region. Graph theory is employed to derive appropriate regularity measures for any discrete optimization algorithm. Shape regularity is quantified by scalar figures ready to evaluate design choices in the form of Pareto-frontiers. Developed metrics deal with information concerning material usage, problematic distribution, and features that complicate manufacturing. The theory is verified by several examples demonstrating the treatment of isolated islands of materials, point connections between material segments, or homogeneity.
title Towards Manufacturing-Friendly Shapes in Discrete Topology Optimization
topic Information Theory
Numerical Analysis
url https://arxiv.org/abs/2503.10133