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三维希尔伯特分形声学超材料的吸声性能

Sound absorption performance of three-dimensional Hilbert fractal acoustic metamaterials

  • 摘要: 为了检验基于希尔伯特分形曲线用于设计三维吸声结构的可行性,提出了一种三维希尔伯特分形声学超材料(three dimensional Hilbert fractal acoustic metamaterials,3D-HFAM)结构的设计和制备流程。该超材料结构以树脂材料为外壳,折叠形成具有矩形管口的迷宫状通道。通过仿真分析了不同阶数3D-HFAM结构吸声系数的影响因素,以实际数据证实了通道宽度、通道间距及晶体边长对吸声系数的作用规律。对比单个结构,多单元并行结构拓宽了吸声带宽。制备了多种3D-HFAM样件,通过阻抗管系统实验测试了单个DHFAM样件和并行排列的多个不同几何参数单元的吸声系数。测试结果与仿真吻合良好,验证了文中设计和制备的超材料获得成功,并验证了多单元耦合效应。研究还发现3D-HFAM在低频段出现多个较高峰值的吸声峰,为吸声结构设计提供了有效途径。

     

    Abstract: To verify the feasibility of applying the Hilbert fractal curve to the design of three-dimensional sound-absorbing structures, a design and fabrication process for a three-dimensional Hilbert fractal acoustic metamaterial (3D-HFAM) structure was proposed. The 3D-HFAM structure is made of a resin shell, folded into a maze-like channel with a rectangular tube opening. A simulation analysis was carried out on the influencing factors of the sound absorption coefficient of 3D-HFAM at different orders. The actual data confirm the effects of channel width, channel spacing, and crystal edge length on the sound absorption coefficient. Compared with a single structure, the multi-unit parallel structure expanded the sound absorption bandwidth. Various 3D-HFAM samples were prepared, and the sound absorption coefficients of single 3D-HFAM samples as well as parallel multiple units with different geometric parameters were tested using an impedance tube system. The experimental tests agreed with the simulation results, confirming the successful design and preparation of the metamaterials as described in the text, as well as verifying the multi-unit coupling effect. The study also found that 3D-HFAM exhibits multiple sound absorption peaks in the low-frequency range with high peaks, providing an efficient path for the design of sound-absorbing structures with potential application prospects.

     

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