圆柱颗粒链中的原位拓扑带跃迁
Demonstrating an in-situ topological band transition in cylindrical granular chains
摘要:
我们数值研究和实验证明了在一个高度可调的机械系统的圆柱颗粒的原位拓扑带跃迁。该系统允许我们以可控的方式调整其颗粒间刚度,只需改变圆柱体之间的接触角。粒子刚度的空间变化导致系统拓扑结构的原位转变。这表现为在有限系统中出现的边界模式,我们通过激光多普勒测振实验观察到。当两个拓扑不同的系统被放置在相邻的,我们分析预测和计算和实验证明存在一个有限频率的拓扑保护模式在他们的接口。
英文摘要:
We numerically investigate and experimentally demonstrate an in-situ topological band transition in a highly tunable mechanical system made of cylindrical granular particles. This system allows us to tune its inter-particle stiffness in a controllable way, simply by changing the contact angles between the cylinders. The spatial variation of particles' stiffness results in an in-situ transition of the system's topology. This manifests as the emergence of a boundary mode in the finite system, which we observe experimentally via laser Doppler vibrometry. When two topologically different systems are placed adjacently, we analytically predict and computationally and experimentally demonstrate the existence of a finite-frequency topologically protected mode at their interface.
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