Multi-resonator coupled metamaterials for broadband vibration suppression

doi:10.1007/s10483-021-2684-8

Abstract

Abstract: In this study, multi-resonator coupled metamaterials (MRCMs) with local resonators are proposed to obtain the multiple and wide band gaps. Kinetic models of the MRCMs are established, and the boundary conditions of the unit cell are obtained with Bloch's theorem. The effects of structural parameters, including the mass of the resonator and the spring stiffness, on the distributions of the band gaps are studied. Furthermore, the frequency domain responses and the time domain responses are calculated for analyzing the structural vibration characteristics and the effects of damping on structural vibration. The results show that the frequency domain response can accurately express the distributions of the band gaps of the MRCMs, and we can increase the number and the width of the band gaps by using the MRCMs for the superior vibration suppression capability.

Key words: multi-resonator coupled metamaterial (MRCM), band gap, broadband vibration suppression

2010 MSC Number:

70J30
70J50

Pengcheng ZHAO, Kai ZHANG, Cheng ZHAO, Zichen DENG. Multi-resonator coupled metamaterials for broadband vibration suppression. Applied Mathematics and Mechanics (English Edition), 2021, 42(1): 53-64.

TrendMD

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