Shape optimization of non-rigid origami leading to emerging bistability

IF 1.9 4区 工程技术 Q3 MECHANICS
Yibo Wang, Ke Liu
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引用次数: 0

Abstract

Origami structures are a type of thin-walled flexible structures that undergo large deformation. Their inherent non-rigid characteristic empowers them with great potential for applications in space structures, metamaterials, and robotics. To understand the large deformation of origami structures, consideration of nonlinear mechanics is necessary. However, most origami structures are still designed by pure geometric approaches without considering their non-rigid behavior. In this work, we propose a computational design framework that incorporates nonlinear mechanics into the design procedure of origami. Guided by minimization of stored energy, under prescribed displacement boundary conditions, we optimize the configuration of origami structures. Difficulties arise due to the complex energy landscape of origami structures that inevitably induces bifurcation. We develop strategies to keep track of a stable deformation branch during the optimization process. A surprising outcome is that our approach naturally leads to self-emerging bistable structures, which is demonstrated by a series of numerical examples. We believe that our new approach would make substantial contribution to computational design of non-rigid origami structures, benefiting applications in origami-inspired solutions for science and engineering.

非刚性折纸的形状优化导致出现双稳态
折纸结构是一种具有较大变形的薄壁柔性结构。其固有的非刚性特性使其在空间结构、超材料和机器人技术方面具有巨大的应用潜力。为了理解折纸结构的大变形,必须考虑非线性力学。然而,大多数折纸结构仍然采用纯几何方法设计,而不考虑其非刚性行为。在这项工作中,我们提出了一个将非线性力学纳入折纸设计过程的计算设计框架。以存储能量最小为指导,在规定的位移边界条件下,对折纸结构的构型进行优化。由于折纸结构的复杂能量格局不可避免地会引起分叉,因此产生了困难。在优化过程中,我们制定了跟踪稳定变形分支的策略。一个令人惊讶的结果是,我们的方法自然地导致了自出现的双稳态结构,这是由一系列数值例子证明的。我们相信我们的新方法将对非刚性折纸结构的计算设计做出重大贡献,有利于科学和工程中折纸灵感解决方案的应用。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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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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