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三浦折纸超材料结构数字化设计与模型验证

陈耀 叶王杰 史佳遥 冯健

陈耀, 叶王杰, 史佳遥, 冯健. 三浦折纸超材料结构数字化设计与模型验证. 力学学报, 2022, 54(6): 1-11 doi: 10.6052/0459-1879-22-080
引用本文: 陈耀, 叶王杰, 史佳遥, 冯健. 三浦折纸超材料结构数字化设计与模型验证. 力学学报, 2022, 54(6): 1-11 doi: 10.6052/0459-1879-22-080
Chen Yao, Ye Wangjie, Shi Jiayao, Feng Jian. Digital design and model verification of miura origami metamaterial structures. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(6): 1-11 doi: 10.6052/0459-1879-22-080
Citation: Chen Yao, Ye Wangjie, Shi Jiayao, Feng Jian. Digital design and model verification of miura origami metamaterial structures. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(6): 1-11 doi: 10.6052/0459-1879-22-080

三浦折纸超材料结构数字化设计与模型验证

doi: 10.6052/0459-1879-22-080
基金项目: 国家自然科学基金资助项目(51978150, 5205041033)
详细信息
    作者简介:

    陈耀, 教授, 研究方向: 现代预应力结构、新型可展结构, 计算力学, 群论方法等, Email: chenyao@seu.edu.cn

  • 中图分类号: TU357,TU311.4

DIGITAL DESIGN AND MODEL VERIFICATION OF MIURA ORIGAMI METAMATERIAL STRUCTURES

Funds: The project was supported by the (12345678)and (9876543)
  • 摘要: 折纸结构在航空航天、柔性电子、汽车船舶和建筑结构等领域具有较好的应用前景. 三浦折纸单元沿三向拓展可构建出三浦折纸超材料结构, 具有高孔隙、可自锁、平面折展、负泊松比、形态可控等特性. 为了便于生成折纸超材料结构的复杂三维模型、推广应用于缓冲吸能结构及可展结构, 本文利用Matlab和Grasshopper软件, 发展了三浦折纸超材料结构的数字化设计方法, 利用数字化建模及3D打印技术, 实现了零厚度及非零厚度三维折纸模型的统一建模, 并开展了物理模型验证分析, 探讨了3D打印制作折纸超材料结构模型的优缺点; 推导了三浦折纸超材料的折痕长度、相对密度、折叠率等特性与几何参数的关系, 利用Abaqus/Explicit软件开展了结构准静态压缩过程分析与验证, 揭示相对密度对结构吸能指标的影响规律. 研究结果表明, 折纸超材料结构数字化设计方法高效、准确, 便于结构选型及优化分析, 所得三维模型结果与理论值吻合较好. 当胞元面板构型、面板厚度及结构折痕总长不变时, 相对密度较小的三浦折纸超材料结构具备更为优异的吸能效率.

     

  • 图  1  折纸超材料结构模型

    Figure  1.  An origami metamaterial structural model

    图  2  Grasshopper参数化面板

    Figure  2.  Grasshopper parametric panel

    图  3  数字化建模流程

    Figure  3.  Digital modeling process

    图  4  三浦折叠超材料结构模型验证

    Figure  4.  3D printing and digital Miura-ori metamaterial structural models

    图  5  不同γB情况下L1γA的关系曲线 (M = N = 5)

    Figure  5.  Change curve of L1 with γA under different γB conditions (M = N = 5)

    图  6  相对密度理论曲线

    Figure  6.  Theoretical curve for relative density

    图  7  标准模型沿X方向完全展开构型

    Figure  7.  Fully deployed configuration of reference model along direction X

    图  8  折叠率ζVγAγB的关系曲线

    Figure  8.  Relation curve of maximum folding ratio ζV with γA and γB

    图  9  不同γA的部分三维模型示意

    Figure  9.  3 D models with different γA

    图  10  不同θA的部分三维模型示意

    Figure  10.  3 D models with different θA

    图  11  三浦折纸超材料结构压缩性能分析

    Figure  11.  FEM results for Miura-ori metamaterial structures under quasi-static compressions

    表  1  3D打印实物模型参数

    Table  1.   Parameters for physical models by 3D printing

    No.M × N × OaA/mmbA/mmθA/(°)Material
    13 × 3 × 4101045PLA
    27 × 6 × 95545PLA
    36 × 6 × 85530PLA
    48 × 7 × 95560PLA
    53 × 3 × 4101045Agilus30
    67 × 6 × 9101045TPU
    下载: 导出CSV

    表  2  模型参数与模拟结果

    Table  2.   Parameters and FEM results for different models

    ModelθA/(°)ρ0*SEA
    Mi-1150.066121.09
    Mi-2300.081115.67
    Mi-3450.106911.72
    Mi-4600.15909.81
    Mi-5750.31668.62
    下载: 导出CSV
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出版历程
  • 收稿日期:  2022-02-21
  • 录用日期:  2022-04-26
  • 网络出版日期:  2022-04-27

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