发表机构
University of Vermont（佛蒙特大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究在单一力学超材料中实现静态与动态双拓扑通道共存，通过转子链晶格独立编程，并在共同临界几何处同时发生拓扑相变，实验验证了双通道局域化。
AI 中文摘要
拓扑力学超材料通常通过两种不同机制之一获得其鲁棒性：运动学拓扑，通过几何兼容性将零频柔性模式局域化；或能带拓扑，通过拓扑带隙将有限频率波局域化。由于这些机制源于根本不同的物理原理，力学系统通常被设计为利用静态或动态拓扑功能中的一种，而非同时利用两者。在此，我们证明单一力学超材料可以在同一架构内承载两个独立的拓扑通道，分别控制静态和动态响应。利用具有每个晶胞两个耦合转动自由度的广义转子链晶格，我们实现了拓扑极化模式与有限频率拓扑能带模式的共存。我们表明，这两个通道由不同的拓扑不变量控制，并可通过几何、角度不对称性和刚度二聚化独立编程。值得注意的是，尽管受不同拓扑不变量控制并调控不同的物理响应，这两个通道在由对称性控制的共同临界几何处发生拓扑相变。使用扫描激光多普勒测振仪的实验测量证实了同一结构中边界柔性模式与有限频率畴壁态的同步局域化。这些结果确立了双拓扑通道作为多功能力学超材料的一般设计原则，并展示了如何在同一架构内独立编程静态变形与动态波传输。
英文摘要
Topological mechanical metamaterials generally derive their robustness from one of two distinct mechanisms: kinematic topology, which localizes zero-frequency floppy modes through geometric compatibility, or band topology, which localizes finite-frequency waves through topological bandgaps. Because these mechanisms arise from fundamentally different physical principles, mechanical systems are typically engineered to exploit either static or dynamic topological functionality, but not both simultaneously. Here we demonstrate that a single mechanical metamaterial can host two independent topological channels governing static and dynamic response within the same architecture. Using a generalized rotor-chain lattice with two coupled rotational degrees of freedom per unit cell, we realize the coexistence of a topological polarization mode and a finite-frequency topological band mode. We show that the two channels are governed by distinct invariants and can be programmed independently through geometry, angular asymmetry, and stiffness dimerization. Remarkably, despite being governed by distinct topological invariants and controlling different physical responses, the two channels undergo topological transitions at a common symmetry-controlled critical geometry. Experimental measurements using scanning laser Doppler vibrometry confirm simultaneous localization of a boundary floppy mode and a finite-frequency domain-wall state in the same structure. These results establish dual topological channels as a general design principle for multifunctional mechanical metamaterials and demonstrate how static deformation and dynamic wave transport can be programmed independently within a single architecture.
