论文标题
Kirigami的Phononic Bandgap编程
Phononic Bandgap Programming in Kirigami
论文作者
论文摘要
这项研究通过故意测序其组成型机械位来研究基里加米材料中弹性波传播带镜的编程。这样的测序利用了拉伸的基里加米的多稳定性，使每个机械位在两个具有不同外部形状（aka。“（0）”和“（1）”状态的两个稳定平衡之间切换。因此，通过设计（0）和（1）位的序列，可以从根本上更改潜在的周期性，从而对语音带隙频率进行编程。为此，这项研究开发了一种算法，以确定组装由$ n $机械位组成的“ $ n $ bit字符串”所产生的独特周期。基于这些$ n $ bit字符串的简化几何形状，本研究还制定了一种理论，可以揭示输入测序和输出带盖之间的丰富映射。理论预测和实验结果证实，（0）和（1）位测序是编程Phonic带隙频率的多功能方法。此外，人们可以通过调整全球伸展运动来微调带盖。总体而言，这项研究的结果阐明了对构建材料系统的动态响应进行编程的新策略。
This study investigates the programming of elastic wave propagation bandgaps in a kirigami material by intentionally sequencing its constitutive mechanical bits. Such sequencing exploits the multi-stable nature of the stretched kirigami, allowing each mechanical bit to switch between two stable equilibria with different external shapes (aka. "(0)" and "(1)" states). Therefore, by designing the sequence of (0) and (1) bits, one can fundamentally change the underlying periodicity and thus program the phononic bandgap frequencies. To this end, this study develops an algorithm to identify the unique periodicities generated by assembling "$n$-bit strings" consisting of $n$ mechanical bits. Based on a simplified geometry of these $n$-bit strings, this study also formulates a theory to uncover the rich mapping between input sequencing and output bandgaps. The theoretical prediction and experiment results confirm that the (0) and (1) bit sequencing is a versatile approach to programming the phonic bandgap frequencies. Moreover, one can additionally fine-tune the bandgaps by adjusting the global stretch. Overall, the results of this study elucidate new strategies for programming the dynamic responses of architected material systems.
