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不稳定性诱导的双稳态形状变形剪纸结构

Instability-induced bistable shape-morphing kirigami structures

Xiaoyuan Ying, Marcelo A. Dias

arXiv 2607.26941首次发表:更新:

AI 中文总结

该研究提出逆向设计框架,通过几何失配与不稳定性实现各向异性双稳态剪纸结构的可编程形状变形,经模拟和实验验证,可集成于多种驱动系统,拓展工程应用

AI 中文摘要

可展开的形状变形结构能够从平板转变为稳定的三维构型,在软机器人、生物医学设备、自适应建筑和航空航天系统等领域的应用中备受青睐。现有基于剪纸的变形系统主要依赖各向同性展开、柔性软材料或外部约束来维持展开形状,这限制了几何可编程性、结构完整性以及在刚性材料系统中的适用性。本文提出一种针对各向异性双稳态剪纸结构的逆向设计框架,通过受控几何失配和不稳定性诱导的展开实现可编程形状变形。该框架结合半解析力学模型与几何参数,建立几何变换与底层能量景观之间的直接关联。研究表明,不稳定性诱导的形状变形可使各向异性剪纸结构具备可调双稳态和定向展开特性。相关结果通过有限元模拟和实验得到验证,展现出稳定的展开构型与可编程各向异性变形。所提框架还提供了一种通用设计策略,可与多种主动驱动系统集成,拓展了工程应用范围。

英文摘要

Deployable shape-morphing structures that transform from flat sheets into stable three-dimensional configurations are highly desirable for applications ranging from soft robotics and biomedical devices to adaptive architecture and aerospace systems. Existing kirigami-based morphing systems primarily rely on isotropic deployment, compliant soft materials, or external constraints to maintain deployed shapes, which limits geometric programmability, structural integrity, and applicability in rigid-material systems. Here, we present an inverse design framework for anisotropic bistable kirigami structures that enables programmable shape morphing through controlled geometric frustration and instability-induced deployment. The framework combines a semi-analytical mechanical model with geometry to establish a direct connection between geometric transformation and the underlying energy landscape. We show that instability-induced shape morphing leads to tunable bistability and directional deployment in anisotropic kirigami structures. The results are validated through finite element simulations and experiments, demonstrating stable deployed configurations and programmable anisotropic morphing. The proposed framework further provides a general design strategy that can be integrated with various active actuation systems, enabling broader engineering applications.

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