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...

Full description

Bibliographic Details
Main Authors: Xingchen Wu, Huipeng Shen, Tianyu Zhang, Hangyu Li, Baoguo Liu, Shidang Yan
Format: Article
Language:English
Published: SAGE Publishing 2023-02-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1177/16878132231152954
_version_ 1797900930294743040
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
work_keys_str_mv AT xingchenwu researchonaboundaryregularizationgeometricreconstructionmethodoftopologyoptimizationstructurebasedonthefreemancode
AT huipengshen researchonaboundaryregularizationgeometricreconstructionmethodoftopologyoptimizationstructurebasedonthefreemancode
AT tianyuzhang researchonaboundaryregularizationgeometricreconstructionmethodoftopologyoptimizationstructurebasedonthefreemancode
AT hangyuli researchonaboundaryregularizationgeometricreconstructionmethodoftopologyoptimizationstructurebasedonthefreemancode
AT baoguoliu researchonaboundaryregularizationgeometricreconstructionmethodoftopologyoptimizationstructurebasedonthefreemancode
AT shidangyan researchonaboundaryregularizationgeometricreconstructionmethodoftopologyoptimizationstructurebasedonthefreemancode