发表机构
The Chinese University of Hong Kong（香港中文大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究提出一种统一几何设计框架，可实现多维度形状变形及相关特性，通过长度约束优化求解，经实验验证有效，还阐明了关键设计规则，为形状变形机械超材料设计开辟新途径。
AI 中文摘要
近年来，剪纸超材料已在科学与工程领域得到广泛研究与应用。尽管已开发出多种二维和三维剪纸设计方法，但大多数仅适用于有限类别的剪纸结构。本研究开发了一种剪纸设计的统一框架，涵盖广泛的二维到二维、二维到三维及三维到三维的形状变形效应，以及紧凑可重构性、刚性可部署性等额外几何与物理特性。具体而言，通过将设计任务重新表述为基于长度的约束优化问题，并针对剪纸结构的多个目标状态同时求解，该统一设计框架具备更高的设计灵活性与更强的理论支撑。文中展示了涵盖多种形状变形效应的实验结果以证明该框架的有效性，还对剪纸设计的若干关键方面进行了严格理论分析，涵盖惯性换位、纵横比定律及角度缺陷，从而阐明重要的设计规则与限制。总体而言，本研究为形状变形机械超材料的设计开辟了新途径。
英文摘要
In recent years, kirigami metamaterials have been widely studied and applied in science and engineering. While various two- and three-dimensional kirigami design methods have been developed, most of them are only applicable to a limited class of kirigami structures. In this work, we develop a unified framework for kirigami design that encompasses a wide range of 2D-to-2D, 2D-to-3D, and 3D-to-3D shape-morphing effects, as well as additional geometric and physical properties such as compact reconfigurability and rigid deployability. In particular, by reformulating the design task as a length-based constrained optimization problem and solving it simultaneously for multiple target states of the kirigami structure, our unified design framework enables greater design flexibility and stronger theoretical support. Experimental results with a wide range of shape-morphing effects are presented to demonstrate the effectiveness of our framework. We further present a rigorous theoretical analysis of several key aspects of kirigami design, covering inertia transposition, aspect-ratio law, and angle defects, thereby elucidating important design rules and limitations. Altogether, our work paves a new way for the design of shape-morphing mechanical metamaterials.
