王新, 姚凌云. 管状三浦折叠结构的双变形模式理论与实验研究[J]. 工程力学. DOI: 10.6052/j.issn.1000-4750.2023.04.0255
引用本文: 王新, 姚凌云. 管状三浦折叠结构的双变形模式理论与实验研究[J]. 工程力学. DOI: 10.6052/j.issn.1000-4750.2023.04.0255
WANG Xin, YAO Ling-yun. THEORETICAL AND EXPERIMENTAL STUDY ON DOUBLE DEFORMATION MODES OF TUBULAR MIURA-ORI STRUCTURE[J]. Engineering Mechanics. DOI: 10.6052/j.issn.1000-4750.2023.04.0255
Citation: WANG Xin, YAO Ling-yun. THEORETICAL AND EXPERIMENTAL STUDY ON DOUBLE DEFORMATION MODES OF TUBULAR MIURA-ORI STRUCTURE[J]. Engineering Mechanics. DOI: 10.6052/j.issn.1000-4750.2023.04.0255

管状三浦折叠结构的双变形模式理论与实验研究

THEORETICAL AND EXPERIMENTAL STUDY ON DOUBLE DEFORMATION MODES OF TUBULAR MIURA-ORI STRUCTURE

  • 摘要: 管状三浦折叠(Tubular Miura-ori, TMO)结构以可折叠性良好、应用多样性丰富而备受关注,但其变形理论的研究匮乏。该文提出“等效变形机制”研究TMO的双变形模式,通过折痕的向量表达形式研究结构的几何形状,将TMO的变形等效为角度的变化以简化轴向变形模式的分析;考虑到弯曲的变形机制与轴向相似,同时将该等效方法应用于弯曲模式中推导双变形模式的数学关系并通过数值分析其正确性;最后开展试验研究,数值分析、实验分析与理论分析的一致性良好。研究结果表明,该文方法简单正确地描述了TMO的双变形模式,为管状三浦折叠结构的工程应用提供理论价值。

     

    Abstract: Tubular Miura-ori (TMO) structure has attracted much attention due to its excellent folding and rich application diversity. However, its deformation theory is rarely studied. In this work, the “equivalent deformation mechanism” is proposed to study the double deformation modes of TMO. The geometry of the structure is studied by using the vector expression of the creases, and the deformation of TMO is equivalent to the change of angle to simplify the analysis of axial deformation mode. The equivalent method is applied to the bending mode to derive the mathematical relationship of the double deformation modes because the deformation mechanism of bending is similar to that of axial, and its correctness is analyzed by numerical analysis. Finally, experimental research was carried out. The consistency of numerical analysis, experiment and theoretical analysis is higher. The results show that the proposed method can efficiently and simply describe the double deformation modes of TMO, which provides theoretical value for engineering applications of TMO structures.

     

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