论文/arXiv 2610.20330·14 天前

稳态刺激下由颤振实现的非欧几里得主动壳动态变形

提出利用颤振使薄主动壳在稳态刺激下动态变形，并在板和圆柱壳分析仿真及水凝胶板实验中验证。

AI 整理

• 硬件零部件
• 仿真与训练

原文链接：Dynamic morphing of non-Euclidean active shells enabled by flutter under a steady stimulus（arXiv 2610.20330 · 发布日期：2026-10-14）

Dynamic morphing of non-Euclidean active shells enabled by flutter under a steady stimulus

提出利用颤振使薄主动壳在稳态刺激下动态变形，并在板和圆柱壳分析仿真及水凝胶板实验中验证。

核心要点

• 针对主动表面通常需调制驱动才可动态变形的问题，探索恒定刺激下的持续动态形变。
• 以黏性流体中的聚电解质水凝胶壳为对象，将电场诱导活性写入非欧几里得薄结构框架。
• 结合线性稳定性分析与非线性仿真，定位颤振起点并揭示可产生推力的形状变化。
• 毫米级水凝胶板实验通过数字图像相关与光学立体显微重建，支持理论发现。

验证范围与局限：验证范围包括椭圆板和圆柱壳的理论与仿真，以及毫米级水凝胶板实验。

英文摘要 (Abstract)

Synthetic active surfaces are usually designed to attain a prescribed static configuration, with dynamic shape changes typically requiring modulation of the actuation. We show that thin active shells can instead sustain dynamic morphing under a steady stimulus by harnessing flutter instability. We focus on polyelectrolyte hydrogel shells immersed in a viscous fluid and subjected to a constant and uniform electric field, and specialize the non-Euclidean framework for thin structures to account for field-induced activity through a spontaneous curvature evolving in time with the system configuration. Examining elliptic plates and cylindrical shells as test cases, we integrate linear stability analyses with nonlinear simulations to first locate the onset of flutter and then unveil the resulting dynamics, characterized by thrust-generating shape changes. In all cases, the emergent behavior stems from the interplay between active reconfiguration and elasticity in the fluid environment. For plates, the problem is purely flexural in the linear regime, while the competition between bending and stretching becomes crucial in selecting the ensuing shapes and swimming trajectories at large deformations. Conversely, for cylindrical shells bending and stretching are coupled at all levels, with the latter becoming essential to sustain flutter. Experiments on millimeter-sized hydrogel plates provide tangible support for our theoretical findings through shape reconstructions performed by combining digital image correlation with optical stereo microscopy. Flutter thus offers a route to untethered soft robotic and microfluidic devices based on active shells and operating under a stimulus carrying neither an intrinsic frequency nor a characteristic length scale.

作者：Roberto Marchello, Pietro Maria Santucci, Giovanni Noselli

来源

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1. arXiv 2610.20330：Dynamic morphing of non-Euclidean active shells enabled by flutter under a steady stimulus访问 2026-10-21