膜式声学超材料的解析耦合振动声学建模：平板模型

Analytical coupled vibroacoustic modeling of membrane-type acoustic metamaterials: plate model.

作者信息

Chen Yangyang, Huang Guoliang, Zhou Xiaoming, Hu Gengkai, Sun Chin-Teh

机构信息

Department of Systems Engineering, University of Arkansas at Little Rock, Little Rock, Arkansas 72204.

Key Laboratory of Dynamics and Control of Flight Vehicle, Ministry of Education, School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China.

出版信息

J Acoust Soc Am. 2014 Dec;136(6):2926. doi: 10.1121/1.4901706.

DOI:10.1121/1.4901706

PMID:25480041

Abstract

By considering the elastic membrane's dissipation, the membrane-type acoustic metamaterial (MAM) has been demonstrated to be a super absorber for low-frequency sound. In the paper, a theoretical vibroacoustic plate model is developed to reveal the sound energy absorption mechanism within the MAM under a plane normal incidence. Based on the plate model in conjunction with the point matching method, the in-plane strain energy of the membrane due to the resonant and antiresonant motion of the attached masses can be accurately captured by solving the coupled vibroacoustic integrodifferential equation. The sound absorption ability of the MAM is quantitatively determined, which is also in good agreement with the prediction from the finite element method. In particular, microstructure effects including eccentricity of the attached masses, the depth, thickness, and loss factor of the membrane on sound absorption peak values are discussed.

摘要

通过考虑弹性膜的耗散，膜型声学超材料（MAM）已被证明是一种低频声音的超级吸收器。本文建立了一个理论振动声学板模型，以揭示平面垂直入射下MAM内部的声能吸收机制。基于该板模型并结合点匹配法，通过求解耦合振动声学积分微分方程，可以精确捕捉由于附着质量块的共振和反共振运动而产生的膜的面内应变能。定量确定了MAM的吸声能力，这也与有限元方法的预测结果吻合良好。特别讨论了微观结构效应，包括附着质量块的偏心度、膜的深度、厚度和损耗因子对吸声峰值的影响。