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摘要

在不改变结构的情况下实现声学超材料对外部响应的可调性, 一直是声学超材料所面临的挑战之一. 因此, 本文提出了以磁流变弹性体(MRE)作为单、双包覆层的声学超材料元胞结构, 研究其在磁场作用下的可调带隙以及传输谱特性. 通过改变作用于包覆层MRE的磁场强度, 控制MRE的剪切模量, 使声学超材料的带隙和传输谱在磁场作用下具有可调性. 应用有限元法对两种声学超材料的带隙及传输谱特性进行了仿真分析. 仿真结果表明, 在磁场作用下, 两种声学超材料的带隙频率和宽度随着磁场强度的增强而增加; 传输谱随着磁场强度的增强其最大衰减频率向高频移动, 最大衰减量也随之增加. 同时, 采用质量-弹簧模型对声学超材料的带隙频率进行了估算, 仿真结果与估算结果具有很好的一致性. 此外, 讨论了芯体、壳体的材料参数以及填充率对带隙和传输谱特性的影响. 这些研究可为声学超材料对弹性波的主动控制, 以及为新型隔振、抑振结构的开发和应用提供理论基础.

关键词:

Abstract

One of the challenges relating to acoustic metamaterials is to achieve a tunable performance without modifying the structure. In this paper, we propose two types of acoustic metamaterials with a magnetorheological elastomer (MRE), and their tunable band gap structures and the transmission spectra are investigated by the finite element method (FEM). The MRE acts as a cladding layer, and its shear modulus can be changed by an externally applied magnetic field. The cell resonance frequency of acoustic metamaterial is changed. The band gap structures and the transmission spectra of the two kinds of acoustic metamaterials are calculated under various magnetic fields, and it is found that the frequency and width of band gap, the maximum attenuation frequency and transmission loss of transmission spectrum increase with externally applied magnetic field intensity increasing. Meanwhile, two types of the mass-spring models are used to estimate the band gap frequencies of the two kinds of acoustic metamaterials. The FEM results are in good agreement with the estimation results. In addition, the effects of material parameters of core and shell and filling rate on the band gap and transmission spectrum are also studied. The effects of core material parameters on the band gap and transmission spectrum of single-layer acoustic metamaterial are analyzed. It is found that the core mass has an effect on the band gap frequency and width, and the elastic parameter of the core affects the transmission loss of the transmission spectrum. The influences of core and shell material parameter on the band gap and transmission spectrum of double-layer acoustic metamaterial is analyzed by the control variable method. The results show that the core and shell mass affect the band gap frequency, width and pass-band width, and the elastic parameter of the core and the shell affect the transmission loss of the transmission spectrum. As the filling rate increases, the band gap frequency and width of the single- and double-layer MRE acoustic metamaterial increase, the maximum attenuation frequency of the transmission spectrum does not change, and the transmission loss increases. These results will greatly contribute to the application of acoustic metamaterials to controlling the active noise and vibration.

Keywords:

acoustic metamaterials/
magnetorheological elastomer cladding layers/
bandgap and transmission spectra/
magnetic field intensity

作者及机构信息

通信作者:赵丹,heuzhaodan@outlook.com

基金项目:国家自然科学基金(批准号: 51675111, 51775123)资助的课题

Authors and contacts

Corresponding author:Zhao Dan,heuzhaodan@outlook.com

Funds:Project supported by the National Natural Science Foundation of China (Grant Nos. 51675111, 51775123)

文章全文: translate this paragraph

参考文献

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施引文献

下载: 全尺寸图片幻灯片

材料	密度$\rho /{\rm{kg}} \cdot {{\rm{m}}^{ - 3}}$	拉梅常数
材料	密度$\rho /{\rm{kg}} \cdot {{\rm{m}}^{ - 3}}$	λ/GPa	μ/GPa
纯铁	7900	115.38	76.92
环氧树脂	1180	4.52	1.59
MRE	3009	6.26×10^-3	0.4×10^-3

下载: 导出CSV

材料	密度ρ/kg·m^–3	弹性参数
材料	密度ρ/kg·m^–3	弹性模量E/GPa	泊松比$\upsilon $
钨	19100	344	0.28
铅	11600	16	0.42
铜	8950	115	0.32
钛	4540	102	0.3
铝	2730	68	0.33

下载: 导出CSV

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