基于可微Voronoi图的增材制造梯度元胞结构设计优化

IF 3.2 3区 工程技术 Q2 ENGINEERING, INDUSTRIAL
Nanya Li , Changkun Sun , Hanlin Zheng , S.K. Ong (1)
{"title":"基于可微Voronoi图的增材制造梯度元胞结构设计优化","authors":"Nanya Li ,&nbsp;Changkun Sun ,&nbsp;Hanlin Zheng ,&nbsp;S.K. Ong (1)","doi":"10.1016/j.cirp.2025.04.035","DOIUrl":null,"url":null,"abstract":"<div><div>Graded cellular structures offer a controlled distribution of material, resulting in customization of stiffness. This paper presents a novel design optimization method for graded topological structures based on differentiable Voronoi diagrams. Unlike conventional discrete Voronoi diagrams, which lack differentiability to solve gradient-based structure optimization problems, the proposed method leverages a SoftMax activation function to tune pixel regions into continuous stress field defined in a Euclidean space. Furthermore, pseudo site points and metric tensor have been applied for rotating and distorting Voronoi cells, so as to achieve much higher specific strength and energy absorption property than traditional optimization methods.</div></div>","PeriodicalId":55256,"journal":{"name":"Cirp Annals-Manufacturing Technology","volume":"74 1","pages":"Pages 161-165"},"PeriodicalIF":3.2000,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Design optimization of graded cellular structures for additive manufacturing via differentiable Voronoi diagram\",\"authors\":\"Nanya Li ,&nbsp;Changkun Sun ,&nbsp;Hanlin Zheng ,&nbsp;S.K. Ong (1)\",\"doi\":\"10.1016/j.cirp.2025.04.035\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Graded cellular structures offer a controlled distribution of material, resulting in customization of stiffness. This paper presents a novel design optimization method for graded topological structures based on differentiable Voronoi diagrams. Unlike conventional discrete Voronoi diagrams, which lack differentiability to solve gradient-based structure optimization problems, the proposed method leverages a SoftMax activation function to tune pixel regions into continuous stress field defined in a Euclidean space. Furthermore, pseudo site points and metric tensor have been applied for rotating and distorting Voronoi cells, so as to achieve much higher specific strength and energy absorption property than traditional optimization methods.</div></div>\",\"PeriodicalId\":55256,\"journal\":{\"name\":\"Cirp Annals-Manufacturing Technology\",\"volume\":\"74 1\",\"pages\":\"Pages 161-165\"},\"PeriodicalIF\":3.2000,\"publicationDate\":\"2025-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Cirp Annals-Manufacturing Technology\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0007850625000824\",\"RegionNum\":3,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"ENGINEERING, INDUSTRIAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cirp Annals-Manufacturing Technology","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0007850625000824","RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, INDUSTRIAL","Score":null,"Total":0}
引用次数: 0

摘要

梯度细胞结构提供了一个受控的材料分布,导致定制的刚度。提出了一种基于可微Voronoi图的梯度拓扑结构优化设计方法。传统的离散Voronoi图缺乏可微性来解决基于梯度的结构优化问题,与此不同,该方法利用SoftMax激活函数将像素区域调整为欧几里得空间中定义的连续应力场。此外,利用伪位点点和度量张量对Voronoi细胞进行旋转和扭曲,获得了比传统优化方法更高的比强度和能量吸收性能。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Design optimization of graded cellular structures for additive manufacturing via differentiable Voronoi diagram
Graded cellular structures offer a controlled distribution of material, resulting in customization of stiffness. This paper presents a novel design optimization method for graded topological structures based on differentiable Voronoi diagrams. Unlike conventional discrete Voronoi diagrams, which lack differentiability to solve gradient-based structure optimization problems, the proposed method leverages a SoftMax activation function to tune pixel regions into continuous stress field defined in a Euclidean space. Furthermore, pseudo site points and metric tensor have been applied for rotating and distorting Voronoi cells, so as to achieve much higher specific strength and energy absorption property than traditional optimization methods.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Cirp Annals-Manufacturing Technology
Cirp Annals-Manufacturing Technology 工程技术-工程:工业
CiteScore
7.50
自引率
9.80%
发文量
137
审稿时长
13.5 months
期刊介绍: CIRP, The International Academy for Production Engineering, was founded in 1951 to promote, by scientific research, the development of all aspects of manufacturing technology covering the optimization, control and management of processes, machines and systems. This biannual ISI cited journal contains approximately 140 refereed technical and keynote papers. Subject areas covered include: Assembly, Cutting, Design, Electro-Physical and Chemical Processes, Forming, Abrasive processes, Surfaces, Machines, Production Systems and Organizations, Precision Engineering and Metrology, Life-Cycle Engineering, Microsystems Technology (MST), Nanotechnology.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:604180095
Book学术官方微信