Membrane-type acoustic metamaterials (MAM) represent a class of materials that are lightweight, compact, structurally simple, and simultaneously offer flexibility and moldability, all while demonstrating exceptional sound attenuation properties in the low-frequency range. As a continuation, this study focuses on membrane-based acoustic metamaterials with synergistic resonance of multiple loaded mass blocks. By varying the unit shape, arrangement method, radius and material of the loaded mass blocks, the low-frequency sound insulation performance of membrane-based acoustic metamaterials with synergistic resonance of multiple loaded mass blocks was calculated using a numerical model that are experimentally validated. The results indicate that the peak transmiss loss (TL) frequencies can be tuned to specific values. The optimized membrane-type acoustic metamaterial could achieve a TL bandwidth up to 844 Hz (>5dB) and a TL bandwidth up to 376 Hz (>10 dB) within the low-frequency range. Acoustic-membrane analysis further revealed the vibration patterns of the structure under different frequency excitations, providing profound physical insights into the mechanisms of low-frequency sound insulation. Moreover, by altering the relative angles between the loaded mass blocks could further broaden the effective noise reduction bandwidth which can benefit the understanding on the optimized membrane-acoustic interactions.

中文翻译：

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多质量膜型声学超材料协同共振研究

膜型声学超材料（MAM）代表了一类重量轻、紧凑、结构简单、同时具有灵活性和可塑性的材料，同时在低频范围内表现出卓越的声音衰减特性。作为延续，本研究重点关注具有多个加载质量块协同共振的膜基声学超材料。通过改变加载质量块的单元形状、排列方式、半径和材料，利用经过实验验证的数值模型计算了多个加载质量块协同共振的膜基声学超材料的低频隔声性能。结果表明，峰值传输损耗 (TL) 频率可以调整到特定值。优化后的薄膜型声学超材料在低频范围内可实现高达844 Hz（>5dB）的TL带宽和高达376 Hz（>10 dB）的TL带宽。声膜分析进一步揭示了结构在不同频率激励下的振动模式，为低频隔音机制提供了深刻的物理见解。此外，通过改变加载质量块之间的相对角度可以进一步拓宽有效降噪带宽，这有利于理解优化的膜声相互作用。