力学超结构设计方法研究进展

姚谦; 杨钊; 王昕; 翟智; 李振; 耿新宇; 李秉洋; 王鹏飞

doi:10.21656/1000-0887.450106

力学超结构设计方法研究进展

doi: 10.21656/1000-0887.450106

姚谦^{1, 2,},
杨钊^{1, 2},
王昕^2, ,,
翟智¹,
李振²,
耿新宇²,
李秉洋²,
王鹏飞^2, ,

1.
西安交通大学空间智能制造研究中心，西安 710049
2.
中国航天科技创新研究院先进材料与能源研究中心，北京 100088

基金项目:

国家自然科学基金 U22B2013

国家自然科学基金 12402407

北京市科技新星项目 20230484287

详细信息

作者简介:
姚谦(2000—)，女，博士生(E-mail: fairy157367146@stu.xjtu.edu.cn)

通讯作者:
王昕(1994—)，男，工程师，博士(通讯作者. E-mail: wxtj_9449@163.com)

王鹏飞(1985—)，男，研究员，博士(通讯作者. E-mail: hvhe@163.com)

中图分类号: O347
计量
- 文章访问数: 424
- HTML全文浏览量: 159
- PDF下载量: 129
- 被引次数: 0
出版历程
- 收稿日期: 2024-04-19
- 修回日期: 2024-06-19
- 刊出日期: 2024-08-01

A Review of Design Methods for Mechanical Metastructures

YAO Qian^{1, 2
,},
YANG Zhao^{1, 2},
WANG Xin^{2
, ,},
ZHAI Zhi¹,
LI Zhen²,
GENG Xinyu²,
LI Bingyang²,
WANG Pengfei^{2
, ,}

1.
Space Intelligent Manufacturing Research Center, Xi'an Jiaotong University, Xi'an 710049, P.R.China
2.
Advanced Materials and Energy Center, China Academy of Aerospace Science and Innovation, Beijing 100088, P.R.China

摘要

摘要: 力学超结构是具有超常力学性能的人工设计结构，其独特属性主要来自特殊设计的代表性单元的拓扑结构，其数学基础、超常特性、工程制造、多功能集成与应用近年来受到广泛关注. 为优化力学超结构设计流程、确定未来趋势与潜在跨学科创新，该文聚焦力学超结构基本设计理念与研究进展，探讨了优化方向. 首先，按照正向设计与逆向设计概念针对力学超结构设计方法进行分类；其次，针对正向设计分类型探讨周期性超结构、表面缺陷超结构与数学模型启发超结构设计方法的设计原理、适用领域与优化方向，针对逆向设计分析了各类优化算法与学习算法近年在力学超结构领域取得的进展与存在的问题；最后，对开放性问题与未来挑战进行了总结.
- 力学超结构 /
- 点阵结构 /
- 折纸 /
- 极小曲面 /
- 逆向设计 /
- 机器学习
Abstract: Mechanical metastructures have superior mechanical properties coming from the topology of specially designed representative elements, and have attracted wide attention due to their mathematical basis, supernormal features and broad applications. To optimize the design procedure, grasp the future trends and promote the interdisciplinary innovation, the fundamental design concepts and research advancements of mechanical metastructures were reviewed. First, the design methods for mechanical metastructures were classified based on the forward and inverse design concepts. Second, within the forward design category, the principles, applicable fields, and optimization directions of periodic superstructures, surface defect superstructures, and mathematical model-based superstructures were discussed. For the reverse design category, the progresses and existing problems in the application of optimization algorithms and learning algorithms in the field of mechanical metastructures were analyzed, with future challenges and open issues concluded.
- mechanical metastructure /
- lattice structure /
- origami /
- TPMS /
- inverse design /
- machine learning

HTML全文

图 1 力学超结构设计方法^[1-15]

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 1. Design methods for mechanical metastructures^[1-15]

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图 2 超结构基本单元

Figure 2. Directly designed metastructures

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图 3 超结构基本单元构型优化

Figure 3. Optimization of the configurations of the metastructures

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图 4 超结构单元排列方式^[30-31]

Figure 4. Arrangements of metastructures^[30-31]

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图 5 多相超结构及其应用

Figure 5. Multiphase metastructures and applications

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图 6 折纸结构基本术语

Figure 6. Origami structure basic terms

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图 7 折纸超结构的特殊性质

Figure 7. Special properties of origami metastructures

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图 8 刚性折纸结构工程应用

Figure 8. Engineering applications of stiff origami metastructures

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图 9 剪纸超结构

Figure 9. Kirigami metastructures

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图 10 TPMS超结构^[65]

Figure 10. Metastructures based on triple periodic minimum surface (TPMS) ^[65]

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图 11 遗传算法在力学超结构逆向设计中的应用

Figure 11. Application of genetic algorithms in the reverse design of mechanical metastructures

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图 12 拓扑优化在力学超结构中的应用

Figure 12. Application of topological optimization in mechanical metastructures

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图 13 力学超结构在宏观尺度下的拓扑优化

Figure 13. The topological optimization of mechanical metastructures at the macroscopic scale

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图 14 机器学习在力学超结构逆向设计中的应用

Figure 14. Application of machine learning in reverse design of mechanical metastructures

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图 15 深度学习在力学超结构逆向设计中的应用

Figure 15. Application of deep learning to reverse design of mechanical metastructures

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