机器学习增强了结构基因组数据库的多尺度拓扑优化

IF 7.5 1区 物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY
Wenyu Hao, Zongliang Du, Jiayang Li, Iryna Slavashevich, Xu Guo
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引用次数: 0

摘要

多尺度拓扑优化(MTO)提供了更大的设计空间,实现了宏观“结构”和微观“材料”的并行设计。即使采用渐近均匀化分析,求解过程仍然很耗时,特别是对于多微结构的多尺度拓扑优化。为了解决这一问题,在多尺度拓扑优化过程中引入了一个已发布的结构基因组数据库(SGD)来代替渐近均匀化分析。通过基准算例验证了SGD-MTO算法的有效性、准确性和效率,包括均匀和多微结构的胞结构优化设计,以及具有连通性约束的均匀和多微结构并行多尺度设计。验证结果表明,与具有渐近均匀化分析的传统MTO算法相比,SGD-MTO算法的求解效率提高了30倍以上。即使对于具有非对称微结构优化设计的一般MTO问题,该算法仍然可以有效地提供合理的初始设计,并且可以使用显式拓扑优化方法在几次迭代中重新优化。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Machine learning enhanced multiscale topology optimization with structural genome databases

Multiscale topology optimization (MTO) offers a larger design space and enables the concurrent design of macroscopic “structure” and microscale “material”. Even after adopting the asymptotic homogenization analysis, the solution process could still be time-consuming, especially for multiscale topology optimization with multiple microstructures. To alleviate such an issue, a released structural genome database (SGD) is incorporated into the multiscale topology optimization process to replace the asymptotic homogenization analysis. The effectiveness, accuracy, and efficiency of the SGD-MTO algorithm are validated by benchmark examples, including optimization design of cellular structures with uniform and multiple microstructures, and concurrent multiscale design of uniform and multiple microstructures with connectivity constraints. It is validated that, compared with the traditional MTO algorithm with asymptotic homogenization analysis, the SGD-MTO algorithm can accelerate the solution efficiency by more than 30 times. Even for general MTO problems with optimized design desiring asymmetric microstructures, the proposed algorithm can still efficiently supply a reasonable initial design, which can be re-optimized in a few iterations using the explicit topology optimization method.

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来源期刊
Science China Physics, Mechanics & Astronomy
Science China Physics, Mechanics & Astronomy PHYSICS, MULTIDISCIPLINARY-
CiteScore
10.30
自引率
6.20%
发文量
4047
审稿时长
3 months
期刊介绍: Science China Physics, Mechanics & Astronomy, an academic journal cosponsored by the Chinese Academy of Sciences and the National Natural Science Foundation of China, and published by Science China Press, is committed to publishing high-quality, original results in both basic and applied research. Science China Physics, Mechanics & Astronomy, is published in both print and electronic forms. It is indexed by Science Citation Index. Categories of articles: Reviews summarize representative results and achievements in a particular topic or an area, comment on the current state of research, and advise on the research directions. The author’s own opinion and related discussion is requested. Research papers report on important original results in all areas of physics, mechanics and astronomy. Brief reports present short reports in a timely manner of the latest important results.
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