A Ternary Seismic Metamaterial for Low Frequency Vibration Attenuation

Abstract

Structural vibration induced by low frequency elastic waves presents a great threat to infrastructure such as buildings, bridges, and nuclear structures. In order to reduce the damage of low frequency structural vibration, researchers proposed the structure of seismic metamaterial, which can be used to block the propagation of low frequency elastic wave by adjusting the frequency range of elastic wave propagation. In this study, based on the concept of phononic crystal, a ternary seismic metamaterial is proposed to attenuate low frequency vibration by generating band gaps. The proposed metamaterial structure is periodically arranged by cube units, which consist of rubber coating, steel scatter, and soft matrix (like soil). The finite element analysis shows that the proposed metamaterial structure has a low frequency band gap with 8.5 Hz bandwidth in the range of 0–20 Hz, which demonstrates that the metamaterial can block the elastic waves propagation in a fairly wide frequency range within 0–20 Hz. The frequency response analysis demonstrates that the proposed metamaterial can effectively attenuate the low frequency vibration. A simplified equivalent mass–spring model is further proposed to analyze the band gap range which agrees well with the finite element results. This model provides a more convenient method to calculate the band gap range. Combining the proposed equivalent mass–spring model with finite element analysis, the effect of material parameters and geometric parameters on the band gap characteristic is investigated. This study can provide new insights for low frequency vibration attenuation.

Analysis of a gas sensor based on one-dimensional photonic crystal structure with a designed defect cavity

“…Based on the structure, ternary PCs have also been analyzed as they offer enlarged bandgap and other novel properties [21][22][23][24]. Such ternary PCs have been shown to be useful in designing sensors and other useful devices.…”

Transmittance Properties of Metamaterial and Dielectric Based One‐Dimensional Ternary Periodic Structure

“…Recently, it has been recommended that a ternary seismic metamaterial based ternary PC can attenuate low frequency vibration by means of PBG that can prevent the damage due to structural vibration in buildings, bridges, and nuclear structures. [ 30 ]…”

“…Recently, it has been recommended that a ternary seismic metamaterial based ternary PC can attenuate low frequency vibration by means of PBG that can prevent the damage due to structural vibration in buildings, bridges, and nuclear structures. [30] In preset theoretical approach, a metamaterial based onedimensional ternary periodic structure (1DTPS) is analyzed in GHz frequency range. We study the effect of the variations of metamaterial thickness, and observe that, with increase in the metamaterial thickness, the transmission decreases in TE mode, while increases in TM mode.…”

“…Since 2019, several research articles have been published on metamaterial-based ternary PCs and with their applications in different frequency regions, including giga-hertz (GHz), tera-hertz (THz) and near-infrared (IR), and low frequency waves. [24][25][26][27][28][29][30] Using ternary PC, Le and Lim [25] showed that programmable metamaterial is highly robust and can be employed to multi-resonance mode as well as origami computing in the giga-hertz (GHz) frequency region. [26] Li et al [27] studied a 1D ternary PC with alternatively stacked dispersive metamaterial layers including double-negative and single-negative materials.…”

Fabrication of Metasurfaces on Building Construction Materials for Potential Electromagnetic Applications in the Microwave Band

“…An application of metamaterials, which has recently gained considerable interest, is their use in the construction of smart buildings—i.e., buildings in which (metamaterial) technology is employed to enable the efficient use of resources in a safe and comfortable environment for the occupants. In particular, seismic metamaterials are employed to enhance the antiseismic behavior of buildings [ 15 , 16 , 17 ]. Moreover, acoustic metamaterials are used to transform acoustic waves and low frequency vibrations into electrical power [ 18 , 19 , 20 , 21 ], while metamaterials performing invisible frequencies are used to enhance the efficiency of solar cells [ 22 , 23 , 24 ].…”