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 Changqi CAI;Chenjie ZHU;Fengyi ZHANG;Jiaojiao SUN;Kai WANG;Bo YAN;Jiaxi ZHOU

作者机构：School of Mechanical EngineeringZhejiang Sci-Tech UniversityHangzhou310018China School of Material and Environmental EngineeringHangzhou Dianzi UniversityHangzhou310018China College of Mechanical and Vehicle EngineeringHunan UniversityChangsha410082China 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2024年第45卷第7期

页      面：1155-1170页

核心收录：

学科分类：08[工学] 080501[工学-材料物理与化学] 0805[工学-材料科学与工程（可授工学、理学学位）] 

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) 

主　　题：local resonance mechanism elastic metamaterial stiffness gradient bandgap fusion broadband wave attenuation 

摘      要：A gradient metamaterial with varying-stiffness local resonators is proposed to open the multiple bandgaps and further form a broad fusion ***,three local resonators with linearly increasing stiffness are periodically attached to the spring-mass chain to construct the gradient *** dispersion relation is then derived based on Bloch s theorem to reveal the fusion bandgap *** dynamic characteristic of the finite spring-mass chain is investigated to validate the fusion of multiple ***,the effects of the design parameters on multiple bandgaps are *** 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.