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

机译:膜式声学分析耦合振动声学建模   超材料:板模型

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摘要

By considering the membrane's dissipation, the membrane-type acousticmetamaterial (MAM) has been demonstrated as a super absorber for low-frequencysound. In the paper, a theoretical vibroacoustic plate model is developed toreveal sound energy absorption mechanism within the MAM under a plane normalincidence. Based on the plate model in conjunction with the point matchingmethod, the in-plane strain energy of the membrane due to the resonant andantiresonant motion of the attached masses can be accurately captured bysolving the coupled vibroacoustic integrodifferential equation. Therefore, thesound absorption of the MAM is obtained and discussed, which is also in goodagreement with the prediction from the finite element method. In particular,microstructure effects including eccentricity of the attached masses, thedepth, thickness and loss factor of the membrane on sound absorption peakvalues are quantitatively investigated.
机译:通过考虑膜的耗散,膜型声学超材料(MAM)已被证明是低频声音的超级吸收体。本文建立了一个理论上的声板模型,以揭示平面法向入射下MAM内部的声能吸收机理。基于板模型结合点匹配方法,通过求解耦合的声声积分微分方程,可以精确地捕获由于附着质量的共振和反共振运动而引起的膜面内应变能。因此,获得并讨论了MAM的吸声特性,这与有限元方法的预测也很吻合。特别是,对包括附着质量的偏心率,膜的深度,厚度和损耗因子对吸声峰值的微观结构影响进行了定量研究。

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