Kinematic Solutions and Bifurcation Analysis of Single Vertex Origami Pattern

IF 1.9 4区 工程技术 Q3 MECHANICS
Qian Zhang , Jianguo Cai , Xiaowei Deng , Zelun Qian , Jian Feng
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引用次数: 0

Abstract

The bifurcation behavior of deployable structures has received significant attention from different fields. Apart from pin-jointed structures, origami, as a thriving inspiration for valuable and practical deployable structures, develops singular configurations along its kinematic paths. The kinematic behaviors of single vertex origami patterns are studied in this work. General four-crease patterns and symmetric six-crease patterns are thoroughly investigated based on the analytical solutions obtained by constraint equations. Moreover, the corresponding motion paths are described to discuss the bifurcation behavior. A comparative analysis of kinematic behaviors with the different actuating coordinates is performed. Three types of bifurcation are analyzed, concluding that three different motion paths cannot occur at the same time. The research findings of the present work can contribute to the development of novel deployable structures and mechanical systems.

单顶点折纸图案的运动学解法和分岔分析
可展开结构的分叉行为受到不同领域的广泛关注。除了针接结构外,折纸作为一种有价值和实用的可展开结构的重要灵感来源,也会沿着其运动轨迹发展出奇异的构型。本文研究了单顶点折纸图案的运动学行为。基于约束方程得到的解析解,对一般四褶皱图案和对称六褶皱图案进行了深入研究。此外,还描述了相应的运动路径,以讨论分叉行为。对不同执行坐标下的运动行为进行了比较分析。分析了三种分岔类型,并得出结论:三种不同的运动路径不可能同时出现。本研究成果有助于新型可部署结构和机械系统的开发。
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来源期刊
CiteScore
4.10
自引率
4.20%
发文量
114
审稿时长
9 months
期刊介绍: Mechanics Research Communications publishes, as rapidly as possible, peer-reviewed manuscripts of high standards but restricted length. It aims to provide: • a fast means of communication • an exchange of ideas among workers in mechanics • an effective method of bringing new results quickly to the public • an informal vehicle for the discussion • of ideas that may still be in the formative stages The field of Mechanics will be understood to encompass the behavior of continua, fluids, solids, particles and their mixtures. Submissions must contain a strong, novel contribution to the field of mechanics, and ideally should be focused on current issues in the field involving theoretical, experimental and/or applied research, preferably within the broad expertise encompassed by the Board of Associate Editors. Deviations from these areas should be discussed in advance with the Editor-in-Chief.
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