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复合谐振腔型声学超材料设计

Design of Composite Resonant Cavity-Type Acoustic Metamaterials

  • 摘要: 针对传统声学超材料噪声控制频率单一、影响空气流通等不足,本文提出了一种将Helmholtz共振效应和Fabry–Pérot共振效应相结合的声学超材料结构,实现了对特定范围内低频噪声的有效控制。仿真结果表明,在500 Hz范围内,声学超材料存在两个传递损失峰值。随后,分析了结构参数对共振频率的影响,研究结果表明:超材料的第二共振峰频率与Fabry–Pérot谐振腔的通道长度呈负相关,超材料第一共振峰频率与Helmholtz谐振腔的高度呈负相关,与Helmholtz谐振腔的颈部长边呈正相关。最后,搭建测试平台对所设计的声学超材料进行性能测试。结果表明,超材料在221Hz和384Hz处存在两个传递损失峰,与有限元仿真结果和TMM理论的共振峰频率基本一致,共振峰处的传递损失均超过20dB。

     

    Abstract: Addressing the limitations of traditional acoustic metamaterials—such as single-frequency noise control and interference with airflow—this paper proposes an acoustic metamaterial structure that integrates the Helmholtz resonance effect and the Fabry–Pérot resonance effect, enabling effective noise attenuation within a specific low-frequency range. Simulation results show that, within the 500 Hz frequency range, the acoustic metamaterial exhibits two transmission loss peaks. Subsequently, the influence of structural parameters on resonance frequencies was analyzed. The results indicate that the second resonance peak frequency is negatively correlated with the channel length of the Fabry–Pérot resonator cavity, whereas the first resonance peak frequency is negatively correlated with the height of the Helmholtz resonator cavity and positively correlated with the neck length of the Helmholtz resonator. Finally, an experimental testing platform was established to evaluate the performance of the designed acoustic metamaterial. Measurements show two transmission loss peaks at 221 Hz and 384 Hz, which agree closely with the resonance frequencies predicted by finite element simulations and transfer matrix method (TMM) theory. The transmission loss at these resonance peaks exceeds 20 dB.

     

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