{"title":"Instability behavior of single crease origami array under partial stretch","authors":"Qian Zhang, Marco Meloni, Jian Feng, Jianguo Cai","doi":"10.1016/j.tws.2025.113069","DOIUrl":null,"url":null,"abstract":"<div><div>Variations in the range of applied driving loads lead to distinct stretching behaviors, ranging from uniform to partial stretch, in single-crease origami arrays. This study focuses on the partial stretch process, systematically investigating the out-of-plane instability behaviors and the factors influencing these behaviors within the array. Starting from mechanical observations, the study analyzes the variations in parameters such as crease angle, shape, and element strain energy in the unstable state of single-crease origami arrays under partial stretch. The finite element method is employed to uncover the underlying formation mechanisms of the instability behavior. The analysis further explores how factors such as the number of units and partial load affect the instability behavior. Additionally, the identified out-of-plane instability mode is mapped to an origami pattern and its evolutionary form. The motion path and stable state attributes of this equivalent origami pattern are analyzed through the integration of motion constraint equations and energy equations. Lastly, the study investigates the transformation of single-crease origami units between the uniform unfolding mode and the derived origami mode, providing a model for instability behavior. The influence of in-plane deformation is also discussed, with the analysis extending to the path transformation within single-crease origami arrays. This research reveals the morphological transformation laws of a basic origami array when subjected to external loads, offering insights into the utilization of novel origami structures.</div></div>","PeriodicalId":49435,"journal":{"name":"Thin-Walled Structures","volume":"211 ","pages":"Article 113069"},"PeriodicalIF":6.6000,"publicationDate":"2025-06-01","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/S0263823125001636","RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/2/12 0:00:00","PubModel":"Epub","JCR":"Q1","JCRName":"ENGINEERING, CIVIL","Score":null,"Total":0}
引用次数: 0
Abstract
Variations in the range of applied driving loads lead to distinct stretching behaviors, ranging from uniform to partial stretch, in single-crease origami arrays. This study focuses on the partial stretch process, systematically investigating the out-of-plane instability behaviors and the factors influencing these behaviors within the array. Starting from mechanical observations, the study analyzes the variations in parameters such as crease angle, shape, and element strain energy in the unstable state of single-crease origami arrays under partial stretch. The finite element method is employed to uncover the underlying formation mechanisms of the instability behavior. The analysis further explores how factors such as the number of units and partial load affect the instability behavior. Additionally, the identified out-of-plane instability mode is mapped to an origami pattern and its evolutionary form. The motion path and stable state attributes of this equivalent origami pattern are analyzed through the integration of motion constraint equations and energy equations. Lastly, the study investigates the transformation of single-crease origami units between the uniform unfolding mode and the derived origami mode, providing a model for instability behavior. The influence of in-plane deformation is also discussed, with the analysis extending to the path transformation within single-crease origami arrays. This research reveals the morphological transformation laws of a basic origami array when subjected to external loads, offering insights into the utilization of novel origami structures.
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.
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