Topology Optimization considering Shielding and Penetrating Features based on Fictitious Physical Model

Fuente: arXiv
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Autori principali: Soma, Daiki, Sakai, Kota, Yamada, Takayuki
Natura: Preprint
Pubblicazione: 2025
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author Soma, Daiki
Sakai, Kota
Yamada, Takayuki
author_facet Soma, Daiki
Sakai, Kota
Yamada, Takayuki
contents This paper proposes topology optimization for considering shielding and penetrating features. Based on the fictitious physical model, which is a useful approach to control geometric features, the proposed method analyzes fictitious steady-state temperature fields and interprets target geometric features by examining the temperature change. First, the concept of topology optimization based on the level set method is introduced. Next, the basic idea of the fictitious physical model for considering geometric features is explained. Then, the differences between the shielding and penetrating features are clarified, and the fictitious physical model for evaluating these features is proposed. Furthermore, topology optimization for the minimum mean compliance problem with geometric conditions is formulated. Finally, 2D and 3D numerical examples are presented to validate the proposed method.
format Preprint
id arxiv_https___arxiv_org_abs_2502_05899
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Topology Optimization considering Shielding and Penetrating Features based on Fictitious Physical Model
Soma, Daiki
Sakai, Kota
Yamada, Takayuki
Optimization and Control
93B51
I.6.3
This paper proposes topology optimization for considering shielding and penetrating features. Based on the fictitious physical model, which is a useful approach to control geometric features, the proposed method analyzes fictitious steady-state temperature fields and interprets target geometric features by examining the temperature change. First, the concept of topology optimization based on the level set method is introduced. Next, the basic idea of the fictitious physical model for considering geometric features is explained. Then, the differences between the shielding and penetrating features are clarified, and the fictitious physical model for evaluating these features is proposed. Furthermore, topology optimization for the minimum mean compliance problem with geometric conditions is formulated. Finally, 2D and 3D numerical examples are presented to validate the proposed method.
title Topology Optimization considering Shielding and Penetrating Features based on Fictitious Physical Model
topic Optimization and Control
93B51
I.6.3
url https://arxiv.org/abs/2502.05899