Inverse Design with Multi-Objective Topology Optimization Based on Binary Rank-1 Perturbations

This contribution shows the extension of the state-of-the-art single-objective binary topology optimization technique to a multi-objective framework. This achievement significantly expands the applicability of the optimization routine since only an inefficient scalarization technique was available before. We utilize the adaptive weighting method, which forces locally optimal solutions to move as close to the Pareto front as possible. The method's efficacy is high, solving multi-objective problems at a computational cost comparable to that of the original algorithm, which solved single-objective problems. All the advantages and features of the original method are preserved. An example is presented in this paper to demonstrate the superb performance of the algorithm.

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Publication Details

Published
2025-03-30
DOI
https://doi.org/10.23919/eucap63536.2025.10999333
Primary Topic
Topology Optimization in Engineering
Type
article
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article

Inverse Design with Multi-Objective Topology Optimization Based on Binary Rank-1 Perturbations

Petr Kadlec, Miloslav Čapek
Topology Optimization in Engineering
article

Inverse Design with Multi-Objective Topology Optimization Based on Binary Rank-1 Perturbations

Petr Kadlec, Miloslav Čapek
article en

Abstract

This contribution shows the extension of the state-of-the-art single-objective binary topology optimization technique to a multi-objective framework. This achievement significantly expands the applicability of the optimization routine since only an inefficient scalarization technique was available before. We utilize the adaptive weighting method, which forces locally optimal solutions to move as close to the Pareto front as possible. The method's efficacy is high, solving multi-objective problems at a computational cost comparable to that of the original algorithm, which solved single-objective problems. All the advantages and features of the original method are preserved. An example is presented in this paper to demonstrate the superb performance of the algorithm.

Czech Technical University in Prague (CZ), Brno University of Technology (CZ)
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Topology Optimization in Engineering
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