Modeling and analysis of gradient metamaterials for broad fusion bandgaps

doi:10.1007/s10483-024-3154-6

Abstract

Abstract:

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.

Key words: local resonance mechanism, elastic metamaterial, stiffness gradient, bandgap fusion, broadband wave attenuation

2010 MSC Number:

74H45
74J05

Changqi CAI, Chenjie ZHU, Fengyi ZHANG, Jiaojiao SUN, Kai WANG, Bo YAN, Jiaxi ZHOU. Modeling and analysis of gradient metamaterials for broad fusion bandgaps. Applied Mathematics and Mechanics (English Edition), 2024, 45(7): 1155-1170.

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Figures/Tables 12

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