We propose a design strategy for creating origami-like mechanical metamaterials with diverse non-linear mechanical properties and capable of remote actuation. The proposed triangulated cylindrical origami (TCO)-inspired metamaterials enable the highly desirable strain-softening/hardening and snap-through behaviors via a multi-material and highly deformable hinge design. Moreover, we couple these novel non-linear mechanical properties of the TCO origami-inspired metamaterials with the transformative ability of hard-magnetic active materials, allowing for shape- and property-actuation in the developed metamaterials. We develop a mathematical modeling framework for the proposed TCO origami-inspired metamaterials, building on approximating the highly deformable hinges as a combination of longitudinal and rotational springs. We validate the accuracy of the developed mathematical modeling approach by comparing the analytically predicted compressive response of a unit cell structure with the corresponding numerical and experimental results. Using the developed mathematical modeling framework, we investigate the magnetic field-induced large deformation and superimposed solitary wave propagation in the TCO origami-inspired metamaterial system. We show that the proposed metamaterial allows us to tune the key characteristics of the enabled non-linear solitary waves, including their characteristic width and amplitude. The proposed design strategy for readily manufacturable origami-inspired metamaterial systems paves a novel path for practical engineering applications. Our studies also underscore the potential of magneto-mechanical interaction in the design of reconfigurable metamaterial systems with superior non-linear mechanical and elastic wave properties.

中文翻译：

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孤立波在折纸启发的超材料中的传播

我们提出了一种设计策略，用于创建具有多种非线性机械特性并能够远程驱动的类似折纸的机械超材料。所提出的三角圆柱折纸（TCO）启发的超材料通过多材料和高度可变形的铰链设计实现了非常理想的应变软化/硬化和突弹行为。此外，我们将受 TCO 折纸启发的超材料的这些新颖的非线性机械特性与硬磁活性材料的变形能力相结合，从而允许在所开发的超材料中进行形状和属性驱动。我们为所提出的受 TCO 折纸启发的超材料开发了一个数学建模框架，该框架将高度变形的铰链近似为纵向和旋转弹簧的组合。我们通过将单位单元结构的分析预测压缩响应与相应的数值和实验结果进行比较，验证了所开发的数学建模方法的准确性。使用开发的数学模型框架，我们研究了受 TCO 折纸启发的超材料系统中磁场引起的大变形和叠加孤立波传播。我们表明，所提出的超材料允许我们调整启用的非线性孤立波的关键特性，包括它们的特征宽度和幅度。所提出的易于制造的受折纸启发的超材料系统的设计策略为实际工程应用铺平了一条新的道路。我们的研究还强调了磁机械相互作用在具有优异的非线性机械和弹性波特性的可重构超材料系统设计中的潜力。