Modeling and analysis of gradient metamaterials for broad fusion bandgaps  

作　　者：Changqi CAI Chenjie ZHU Fengyi ZHANG Jiaojiao SUN Kai WANG Bo YAN Jiaxi ZHOU 

机构地区：[1]School of Mechanical Engineering,Zhejiang Sci-Tech University,Hangzhou,310018,China [2]School of Material and Environmental Engineering,Hangzhou Dianzi University,Hangzhou,310018,China [3]College of Mechanical and Vehicle Engineering,Hunan University,Changsha,410082,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2024年第7期1155-1170,共16页应用数学和力学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Nos.12122206,52175125,12272129,12304309,and 12302039);the Zhejiang Provincial Natural Science Foundation of China(No.LQ24A020006);the Hong Kong Scholars Program of China(No.XJ2022012);the Natural Science Foundation of Hunan Province of China(No.2024JJ4004)。

摘　　要：A gradient metamaterial with varying-stiffness local resonators is proposed to open the multiple bandgaps and further form a broad fusion bandgap.First,three local resonators with linearly increasing stiffness are periodically attached to the spring-mass chain to construct the gradient metamaterial.The dispersion relation is then derived based on Bloch's theorem to reveal the fusion bandgap theoretically.The dynamic characteristic of the finite spring-mass chain is investigated to validate the fusion of multiple bandgaps.Finally,the effects of the design parameters on multiple bandgaps are discussed.The results show that the metamaterial with a non-uniform stiffness gradient pattern is capable of opening a broad fusion bandgap and effectively attenuating the longitudinal waves within a broad frequency region.

关 键 词：local resonance mechanism elastic metamaterial stiffness gradient bandgap fusion broadband wave attenuation 

分 类 号：TB34[一般工业技术—材料科学与工程]