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A constrained topology optimization methodology based on budget constrained min-cut

A constrained topology optimization methodology based on budget constrained min-cut
A constrained topology optimization methodology based on budget constrained min-cut

Purpose: The purpose of this paper is to propose a novel methodology based on budget constrained Min-Cut theorem to solve constrained topology optimization (TO). Design/methodology/approach: This paper establishes a weighted network with budget, which is derived from the sensitivity with respect to the constraint function. The total budget carried by the topology evaluates the extent to which the constraint is satisfied. By finding the Min-Cut under budget constraint in each step, the proposed method is able to solve constrained TO problem. Findings: The results obtained from a magnetic actuator including a yoke, a coil and an armature have demonstrated that the proposed method is effective to solve constrained TO problem. Originality/value: A novel methodology based on budget constrained Min-Cut is proposed to solve constrained TO problem.

Budget constraint optimal design, Checkerboard, Design optimization methodology, Min-Cut, Topology optimization
0332-1649
81-89
Xia, Meng
13b1ce54-7130-47ef-a26f-4bbe54f5d845
Sykulski, Jan
d6885caf-aaed-4d12-9ef3-46c4c3bbd7fb
Xia, Meng
13b1ce54-7130-47ef-a26f-4bbe54f5d845
Sykulski, Jan
d6885caf-aaed-4d12-9ef3-46c4c3bbd7fb

Xia, Meng and Sykulski, Jan (2023) A constrained topology optimization methodology based on budget constrained min-cut. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 42 (1), 81-89. (doi:10.1108/COMPEL-01-2022-0056).

Record type: Article

Abstract

Purpose: The purpose of this paper is to propose a novel methodology based on budget constrained Min-Cut theorem to solve constrained topology optimization (TO). Design/methodology/approach: This paper establishes a weighted network with budget, which is derived from the sensitivity with respect to the constraint function. The total budget carried by the topology evaluates the extent to which the constraint is satisfied. By finding the Min-Cut under budget constraint in each step, the proposed method is able to solve constrained TO problem. Findings: The results obtained from a magnetic actuator including a yoke, a coil and an armature have demonstrated that the proposed method is effective to solve constrained TO problem. Originality/value: A novel methodology based on budget constrained Min-Cut is proposed to solve constrained TO problem.

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10-1108_COMPEL-01-2022-0056 - Accepted Manuscript
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More information

Accepted/In Press date: 8 May 2022
e-pub ahead of print date: 3 June 2022
Published date: 12 January 2023
Additional Information: Publisher Copyright: © 2022, Emerald Publishing Limited.
Keywords: Budget constraint optimal design, Checkerboard, Design optimization methodology, Min-Cut, Topology optimization

Identifiers

Local EPrints ID: 477044
URI: http://eprints.soton.ac.uk/id/eprint/477044
ISSN: 0332-1649
PURE UUID: 780fbec4-385e-497c-9b18-3b8004f70805
ORCID for Jan Sykulski: ORCID iD orcid.org/0000-0001-6392-126X

Catalogue record

Date deposited: 24 May 2023 16:51
Last modified: 17 Mar 2024 02:33

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Contributors

Author: Meng Xia
Author: Jan Sykulski ORCID iD

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