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A multi-objective topology optimization methodology based on Pareto optimal min-cut

A multi-objective topology optimization methodology based on Pareto optimal min-cut
A multi-objective topology optimization methodology based on Pareto optimal min-cut
A topology optimization (TO) design is inherently a bi-objective problem since the design goals are, at least, to minimize the material consumption and to maximize a performance parameter. To eliminate the extremely high computational burden and the checkerboard pattern problem of existing optimal methodologies, this article proposes a novel methodology based on Pareto optimal min-cut (POMC) to solve multi-objective TO problems with minimizing the volume as one objective. The good ability to handle an equality constraint based on POMC enables the proposed algorithm to achieve the optimality of the single objective under any equality volume constraint. According to the comparison of numerical results with other methodologies, the proposed methodology is capable of obtaining higher quality Pareto frontiers by using much reduced computational burdens.
0018-9464
Xia, Meng
83c58f26-19dd-45e4-ac6e-650be07a41ab
Zhou, Qiang
446f646c-cfd5-46ee-af72-d7f37ccbc76a
Sykulski, Jan
d6885caf-aaed-4d12-9ef3-46c4c3bbd7fb
Yang, Shiyou
aadc1ef0-daeb-4b8f-a6ec-3f7e60edc862
Ma, Yanhong
4345ed09-e3ea-4204-bcb5-7fcedf9dacf4
Xia, Meng
83c58f26-19dd-45e4-ac6e-650be07a41ab
Zhou, Qiang
446f646c-cfd5-46ee-af72-d7f37ccbc76a
Sykulski, Jan
d6885caf-aaed-4d12-9ef3-46c4c3bbd7fb
Yang, Shiyou
aadc1ef0-daeb-4b8f-a6ec-3f7e60edc862
Ma, Yanhong
4345ed09-e3ea-4204-bcb5-7fcedf9dacf4

Xia, Meng, Zhou, Qiang, Sykulski, Jan, Yang, Shiyou and Ma, Yanhong (2020) A multi-objective topology optimization methodology based on Pareto optimal min-cut. IEEE Transactions on Magnetics, 56 (3). (doi:10.1109/TMAG.2019.2955386).

Record type: Article

Abstract

A topology optimization (TO) design is inherently a bi-objective problem since the design goals are, at least, to minimize the material consumption and to maximize a performance parameter. To eliminate the extremely high computational burden and the checkerboard pattern problem of existing optimal methodologies, this article proposes a novel methodology based on Pareto optimal min-cut (POMC) to solve multi-objective TO problems with minimizing the volume as one objective. The good ability to handle an equality constraint based on POMC enables the proposed algorithm to achieve the optimality of the single objective under any equality volume constraint. According to the comparison of numerical results with other methodologies, the proposed methodology is capable of obtaining higher quality Pareto frontiers by using much reduced computational burdens.

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A Multi-Objective Topology Optimization Methodology Based on Pareto Optimal Min-Cut - Accepted Manuscript
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e-pub ahead of print date: 13 January 2020

Identifiers

Local EPrints ID: 439227
URI: http://eprints.soton.ac.uk/id/eprint/439227
ISSN: 0018-9464
PURE UUID: 6bae7059-bf41-4d0e-b2c9-46673904e421
ORCID for Jan Sykulski: ORCID iD orcid.org/0000-0001-6392-126X

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Date deposited: 07 Apr 2020 16:30
Last modified: 07 Oct 2020 02:29

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Contributors

Author: Meng Xia
Author: Qiang Zhou
Author: Jan Sykulski ORCID iD
Author: Shiyou Yang
Author: Yanhong Ma

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