Research on a boundary regularization geometric reconstruction method of topology optimization structure based on the Freeman code
The complex curved boundary of the topology optimization model is not conducive to industrial manufacturing hence the necessity to reconstruct the geometrical model. This study presents a general method for the boundary regularization fitting reconstruction of a topological optimization model based...
Main Authors: | , , , , , |
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Format: | Article |
Language: | English |
Published: |
SAGE Publishing
2023-02-01
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Series: | Advances in Mechanical Engineering |
Online Access: | https://doi.org/10.1177/16878132231152954 |
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author | Xingchen Wu Huipeng Shen Tianyu Zhang Hangyu Li Baoguo Liu Shidang Yan |
author_facet | Xingchen Wu Huipeng Shen Tianyu Zhang Hangyu Li Baoguo Liu Shidang Yan |
author_sort | Xingchen Wu |
collection | DOAJ |
description | The complex curved boundary of the topology optimization model is not conducive to industrial manufacturing hence the necessity to reconstruct the geometrical model. This study presents a general method for the boundary regularization fitting reconstruction of a topological optimization model based on the Freeman code. This method is performed as follows: the unit vector is defined; the vectorized expression of the Freeman code boundary is established; through the concept of the boundary bending parameter, determination of the bending degree of the Freeman code boundary is established; an elemental structure analysis method is proposed, and the logic of the automatic extraction of the control points of the Freeman code boundary fitting is achieved. This method proposes a series of innovative technical methods, such as unit vector definition, boundary bending matrix, and elemental structure analysis method, and designs a complete set of structural analysis logic for a Freeman code type boundary, which can automatically analyze the structure feature of the 8-connected Freeman code boundary, extract the fitting control points on the boundary, and complete the automatic fitting and reconstruction of the boundary. This method is robust and applicable to all Freeman code boundaries. The entire process is automated. |
first_indexed | 2024-04-10T08:53:51Z |
format | Article |
id | doaj.art-d134d22cbbd349fab246ce7eaebcf550 |
institution | Directory Open Access Journal |
issn | 1687-8140 |
language | English |
last_indexed | 2024-04-10T08:53:51Z |
publishDate | 2023-02-01 |
publisher | SAGE Publishing |
record_format | Article |
series | Advances in Mechanical Engineering |
spelling | doaj.art-d134d22cbbd349fab246ce7eaebcf5502023-02-21T22:33:15ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402023-02-011510.1177/16878132231152954Research on a boundary regularization geometric reconstruction method of topology optimization structure based on the Freeman codeXingchen Wu0Huipeng Shen1Tianyu Zhang2Hangyu Li3Baoguo Liu4Shidang Yan5Henan Key Laboratory of Super Hard Abrasives Grinding Equipment, Zhengzhou, ChinaHenan Key Laboratory of Super Hard Abrasives Grinding Equipment, Zhengzhou, ChinaHenan Key Laboratory of Super Hard Abrasives Grinding Equipment, Zhengzhou, ChinaHenan Key Laboratory of Super Hard Abrasives Grinding Equipment, Zhengzhou, ChinaHenan Key Laboratory of Super Hard Abrasives Grinding Equipment, Zhengzhou, ChinaZhengzhou Research Institute of Mechanical Engineering Co, Ltd., Zhengzhou, ChinaThe complex curved boundary of the topology optimization model is not conducive to industrial manufacturing hence the necessity to reconstruct the geometrical model. This study presents a general method for the boundary regularization fitting reconstruction of a topological optimization model based on the Freeman code. This method is performed as follows: the unit vector is defined; the vectorized expression of the Freeman code boundary is established; through the concept of the boundary bending parameter, determination of the bending degree of the Freeman code boundary is established; an elemental structure analysis method is proposed, and the logic of the automatic extraction of the control points of the Freeman code boundary fitting is achieved. This method proposes a series of innovative technical methods, such as unit vector definition, boundary bending matrix, and elemental structure analysis method, and designs a complete set of structural analysis logic for a Freeman code type boundary, which can automatically analyze the structure feature of the 8-connected Freeman code boundary, extract the fitting control points on the boundary, and complete the automatic fitting and reconstruction of the boundary. This method is robust and applicable to all Freeman code boundaries. The entire process is automated.https://doi.org/10.1177/16878132231152954 |
spellingShingle | Xingchen Wu Huipeng Shen Tianyu Zhang Hangyu Li Baoguo Liu Shidang Yan Research on a boundary regularization geometric reconstruction method of topology optimization structure based on the Freeman code Advances in Mechanical Engineering |
title | Research on a boundary regularization geometric reconstruction method of topology optimization structure based on the Freeman code |
title_full | Research on a boundary regularization geometric reconstruction method of topology optimization structure based on the Freeman code |
title_fullStr | Research on a boundary regularization geometric reconstruction method of topology optimization structure based on the Freeman code |
title_full_unstemmed | Research on a boundary regularization geometric reconstruction method of topology optimization structure based on the Freeman code |
title_short | Research on a boundary regularization geometric reconstruction method of topology optimization structure based on the Freeman code |
title_sort | research on a boundary regularization geometric reconstruction method of topology optimization structure based on the freeman code |
url | https://doi.org/10.1177/16878132231152954 |
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