Interleaved assembly and compressive behavior of non-Euclidean origami structures

IF 6.6 1区工程技术 Q1 ENGINEERING, CIVIL

Thin-Walled Structures Pub Date : 2025-09-27 DOI:10.1016/j.tws.2025.113994

Qian Zhang , Changlong Shi , Xiaohui Zhang , Jian Feng , Jianguo Cai

{"title":"Interleaved assembly and compressive behavior of non-Euclidean origami structures","authors":"Qian Zhang , Changlong Shi , Xiaohui Zhang , Jian Feng , Jianguo Cai","doi":"10.1016/j.tws.2025.113994","DOIUrl":null,"url":null,"abstract":"<div><div>The motion paths of non-Euclidean origami units are more easily controllable than those of Euclidean origami units, effectively suppressing bifurcation singularities. This study first introduces an origami tube constructed from two types of non-Euclidean units, preserving the characteristics of single-degree-of-freedom motion and flat-foldability, while exhibiting distinct motion properties compared to traditional origami tubes, enabling a switch between two folding states within the same plane. Leveraging geometric compatibility conditions, the non-Euclidean origami tube can be interleaved to form a staggered basic origami unit cell. The geometric characteristics in three directions, including the range of rigid movements and self-locking conditions, are analyzed in detail. Additionally, by mirroring the basic unit cell and arranging them into an array, an interleaved origami metamaterial is created that offers a more convenient assembly method than conventional interleaved origami tubes, demonstrating unique motion patterns in all three directions. Using the Z-direction compression process as a case study, the research employs theoretical analysis, simulation, and experimental methods to reveal a distinct two-stage gradient characteristic during compression. The first stage is characterized by a rigid motion process dominated by crease rotation, while the second stage exhibits a diamond honeycomb compression mode represented by panel deformation. The findings of this study provide a novel design paradigm for interleaved origami tubes, presenting significant potential for developing mechanically metamaterials with enhanced motion and mechanical properties.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"218 ","pages":"Article 113994"},"PeriodicalIF":6.6000,"publicationDate":"2025-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Thin-Walled Structures","FirstCategoryId":"5","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0263823125010833","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}

引用次数: 0

Abstract

The motion paths of non-Euclidean origami units are more easily controllable than those of Euclidean origami units, effectively suppressing bifurcation singularities. This study first introduces an origami tube constructed from two types of non-Euclidean units, preserving the characteristics of single-degree-of-freedom motion and flat-foldability, while exhibiting distinct motion properties compared to traditional origami tubes, enabling a switch between two folding states within the same plane. Leveraging geometric compatibility conditions, the non-Euclidean origami tube can be interleaved to form a staggered basic origami unit cell. The geometric characteristics in three directions, including the range of rigid movements and self-locking conditions, are analyzed in detail. Additionally, by mirroring the basic unit cell and arranging them into an array, an interleaved origami metamaterial is created that offers a more convenient assembly method than conventional interleaved origami tubes, demonstrating unique motion patterns in all three directions. Using the Z-direction compression process as a case study, the research employs theoretical analysis, simulation, and experimental methods to reveal a distinct two-stage gradient characteristic during compression. The first stage is characterized by a rigid motion process dominated by crease rotation, while the second stage exhibits a diamond honeycomb compression mode represented by panel deformation. The findings of this study provide a novel design paradigm for interleaved origami tubes, presenting significant potential for developing mechanically metamaterials with enhanced motion and mechanical properties.

查看原文本刊更多论文

非欧几里得折纸结构的交错装配和压缩行为

非欧几里得折纸单元的运动路径比欧几里得折纸单元的运动路径更容易控制，可以有效地抑制分叉奇异性。本研究首先介绍了一种由两种非欧几里得单元构成的折纸管，保留了单自由度运动和平面可折叠性的特征，同时与传统折纸管相比，表现出不同的运动特性，能够在同一平面内的两种折叠状态之间切换。利用几何相容条件，非欧几里得折纸管可以相互交错，形成交错的基本折纸单元格。详细分析了三个方向的几何特性，包括刚性运动范围和自锁条件。此外，通过镜像基本单元细胞并将它们排列成阵列，创建了一个交错折纸超材料，提供了比传统交错折纸管更方便的组装方法，在所有三个方向上都展示了独特的运动模式。以z向压缩过程为例，采用理论分析、仿真和实验方法，揭示了压缩过程中明显的两阶段梯度特征。第一阶段表现为以折痕旋转为主的刚性运动过程，第二阶段表现为以面板变形为代表的金刚石蜂窝压缩模式。本研究结果为交错折纸管提供了一种新的设计范式，为开发具有增强运动和机械性能的机械超材料提供了巨大的潜力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Thin-Walled Structures 工程技术-工程：土木

CiteScore

9.60

自引率

20.30%

发文量

801

审稿时长

66 days

期刊介绍： Thin-walled structures comprises an important and growing proportion of engineering construction with areas of application becoming increasingly diverse, ranging from aircraft, bridges, ships and oil rigs to storage vessels, industrial buildings and warehouses. Many factors, including cost and weight economy, new materials and processes and the growth of powerful methods of analysis have contributed to this growth, and led to the need for a journal which concentrates specifically on structures in which problems arise due to the thinness of the walls. This field includes cold– formed sections, plate and shell structures, reinforced plastics structures and aluminium structures, and is of importance in many branches of engineering. The primary criterion for consideration of papers in Thin–Walled Structures is that they must be concerned with thin–walled structures or the basic problems inherent in thin–walled structures. Provided this criterion is satisfied no restriction is placed on the type of construction, material or field of application. Papers on theory, experiment, design, etc., are published and it is expected that many papers will contain aspects of all three.