| 折纸结构和折纸超材料动力学研究进展 |
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| 引用本文： | 方虹斌,吴海平,刘作林,张琦炜,徐鉴.折纸结构和折纸超材料动力学研究进展[J].力学学报,2022,54(1):1-38. |
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| 作者姓名： | 方虹斌 吴海平 刘作林 张琦炜 徐鉴 |
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| 作者单位： | *.复旦大学智能机器人研究院, 上海 200433 |
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| 基金项目： | 国家重点研发计划“智能机器人”重点专项(2020YFB1312900);国家自然科学基金(11932015,11902078);上海市“科技创新行动计划”启明星(20QA1400800)资助项目。 |
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| 摘 要： | 折纸结构和折纸超材料由于其无穷的设计空间, 突出的变形状、变大小、变拓扑特性, 以及由折叠诱发的超常规力学特性, 在最近几年迅速成为数学、物理和工程学科的研究前沿和热点. 折纸结构和折纸超材料在航天、医疗、材料、机器人等众多工程领域具有广泛的应用前景, 其典型的代表包括大型空间可展开结构、自折叠可重构机器人、微型可折叠器械等. 随着应用范围的不断扩大, 折纸结构和折纸超材料的动力学问题日益突出, 不仅涉及其动力学建模和参数辨识, 还包括动力学机制分析与实验测试. 折纸结构复杂的空间几何关系、丰富的变形模式、折叠诱发的全局强非线性本构关系等给动力学研究带来了很多新挑战和新机遇. 本文首先阐述了折纸结构和折纸超材料的研究背景和意义, 并简要概述了折纸的基本定义、假设和分类, 以及折纸结构和折纸超材料的几何设计、静力学和运动学特性. 随后, 本文系统回顾了折纸结构和折纸超材料动力学研究中相关问题的最新进展, 包括: (1) 动力学建模及参数辨识方法; (2) 动力学理论、有限元和实验分析手段; (3) 折叠诱发的动力学行为, 包括双稳态和多稳态动力学行为、瞬态动力学行为和波传播动力学行为等; (4) 典型动力学应用. 本文最后提出了折纸结构和折纸超材料动力学研究中若干值得关注的问题.
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| 关 键 词： | 折纸结构 折纸超材料 动力学建模 折叠动力学 多稳态动力学 瞬态动力学 波动力学 |
| 收稿时间： | 2021-09-16 |
ADVANCES IN THE DYNAMICS OF ORIGAMI STRUCTURES AND ORIGAMI METAMATERIALS |
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| Fang Hongbin,Wu Haiping,Liu Zuolin,Zhang Qiwei,Xu Jian.ADVANCES IN THE DYNAMICS OF ORIGAMI STRUCTURES AND ORIGAMI METAMATERIALS[J].chinese journal of theoretical and applied mechanics,2022,54(1):1-38. |
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| Authors: | Fang Hongbin Wu Haiping Liu Zuolin Zhang Qiwei Xu Jian |
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| Affiliation: | *.Institute of AI and Robotics, Fudan University, Shanghai 200433, China?.School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China |
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| Abstract: | Recently, due to the infinite design space, outstanding capability in changing shape, dimension, and topology, as well as the folding-induced extraordinary mechanical properties, origami structures and origami metamaterials have rapidly become the research frontiers and hot spots in the fields of mathematics, physics, and engineering. Origami structures and origami metamaterials have extensive application prospects in various fields,including aerospace, medical, and robotic engineering. Typical examples are the large-scale deployable aerospace structures, reconfigurable self-folding robots, and micro-scale foldable devices. As the scope of engineering applications continues to expand, the dynamics of origami structures and origami metamaterials become increasingly prominent,which not only involves dynamic modeling and parameter identification but also relates to the dynamic mechanism analyses and experimental tests. The origami dynamics research is facing many new challenges and opportunities brought by the complex spatial geometric relations, the rich deformation modes, and the folding-induced global strong nonlinear constitutive profiles. In this review, the research background and significance of origami structures and origami metamaterials are firstly surveyed, followed by a brief introduction to the fundamental definitions, assumptions, and categorization of origami. The geometric design, kinematic and static properties of the origami structures and origami metamaterials are also summarized in brief. Afterward, the recent research progress on the dynamics of origami structures and origami metamaterials are systematically reviewed, from the following aspects:(1) dynamic modeling and parameter identification methods;(2) theoretical, finite element, and experimental approaches for dynamic analysis;(3) folding-induced dynamic behaviors, including bi-stable and multi-stable dynamic behaviors, transient dynamic behaviors, and wave propagation dynamic behaviors, etc.;(4) typical dynamic applications. Finally, several open problems are addressed for future studies. |
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| Keywords: | origami structure origami metamaterial dynamic modeling folding dynamics multi-stable dynamics transient dynamics wave dynamics |
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