首页|双磁性谐振子可调超材料的带隙耦合特性研究

双磁性谐振子可调超材料的带隙耦合特性研究

扫码查看
弹性波超材料是一种人工周期结构,可应用于航空航天、车辆工程等领域的减振降噪.本文设计了一种可以产生耦合带隙具有两个磁性谐振子的超材料.该超材料采用不锈钢薄板连接磁振子与外部框架,调节磁铁之间距离可以影响不锈钢薄板的面内应力从而影响内部刚度.通过调节元胞结构,形成相邻两元胞内部刚度不同的双胞系统,从而实现更宽的耦合带隙.得到了不锈钢薄板提供的刚度和磁力提供的负刚度随磁铁间距的变化关系.建立了双磁性谐振子可调单胞超材料和由调节磁铁距离构成的双胞超材料的频散关系和传递率理论模型.计算了磁铁距离改变对超材料带隙结构的影响以及特定情况下的双胞耦合带隙结果.设计并利用3D打印技术制作了实验模型,测得了不同磁铁距离下的传递率曲线并且验证了双胞超材料结构的带隙耦合结果.理论预测的传递率与实验结果吻合良好.所提出的模型可以为超材料的主动调控以及可编程性提供新的思路.
Bandgap Coupling Characteristics of a Tunable Metamaterial with Double Magnetic Resonators
Elastic wave metamaterials are artificial periodic structures that can control elastic waves.They can be used in aeronautics and astronautics,vehicle engineering,and other fields.This paper propo-ses a tunable metamaterial with two magnetic resonators.In this structure,a stainless steel plate connects the magnetic resonator to the external frame.Adjusting the distance between the magnets can affect the in-plane stress of the stainless steel plate and thus the internal stiffness.By adjusting the cell structure,a double-cell system with different internal stiffnesses can be formed to achieve a wider coupling band gap.First,the variations of the stiffness of the thin plate and the negative stiffness of the magnetic force with the distance between two magnetic resonators are determined.The dispersion relationship and the trans-missibility of the single-cell metamaterial with double magnetic resonators and the double-cell metamaterial formed by adjusting the distance between magnets are obtained using a theoretical model.Then,the effect of the distance between two magnetic resonators on the metamaterial bandgap and double-cell coupled bandgap in a specific case is further studied.Finally,an experimental model is designed and manufactured using 3D printing technology.The transmissibility curves at different distances between two magnetic re-sonators are measured,and the bandgap coupling results of double-cell metamaterial structures are veri-fied.The theoretical prediction of the bandgap of the metamaterial agrees well with the experimental re-sults.This adjustment method can provide a new idea for the active control of restraining elastic wave transmission.

metamaterialtunablenegative stiffnessmagnetic resonatorscoupled bandgap

杨宇辰、王立峰、俞潇、高玉强

展开 >

南京航空航天大学,航空航天结构力学及控制全国重点实验室,南京,210016

超材料 可调谐 负刚度 磁性振子 带隙耦合

国家杰出青年基金国家自然科学基金项目

1192520551921003

2024

固体力学学报
中国力学学会

固体力学学报

CSTPCD北大核心
影响因子:0.605
ISSN:0254-7805
年,卷(期):2024.45(3)