三周期极小曲面声学超材料的低频宽带吸声性能

Low-frequency broadband acoustic absorption properties of triply periodic minimal surface acoustic metamaterials

  • 摘要: 三周期极小曲面(TPMS)结构的多孔性使其具备优异的声学性能,在低频宽带吸声领域引起广泛关注。本文提出了D、G、P、N和I-WP 5种TPMS夹层板结构,采用有限元方法分析5种结构的低频吸声性能;实验验证通过3D打印P型、G型TPMS夹层结构,使用阻抗管法测试这两类结构的吸声性能,实验与仿真结果具有较好的一致性。在参数分析方面研究了TPMS胞元类型、相对密度、穿孔板厚度、胞元尺寸、穿孔半径等对结构吸声性能的影响。结果表明:厚度为21 mm的P型夹层板在512~685 Hz范围内吸声性能优异,带宽比为43.25%,较相同厚度的G型结构带宽比提升9%,在540 Hz共振吸声系数峰值为0.83,结构的厚度仅为吸声系数峰值频率对应波长的1/30,体现了P型结构深亚波长尺寸特征;D型和N型胞元孔隙率大,在400 Hz的频率下共振特性好,D型胞元吸声带宽比相较于P型胞元提升17.4%;而随着相对密度增大,胞元孔隙率减小,共振频率升高,结构的吸声系数逐渐减小,但吸声宽带略有拓宽;增大穿孔板厚度结构共振频率降低,吸声频带拓宽;增大胞元尺寸、减小穿孔半径结构共振频率降低,吸声峰值增大,但吸声频带略有变窄。

     

    Abstract: Triply periodic minimal surface (TPMS), combined with their excellent acoustic properties, has attracted widespread attention in the field of low-frequency broadband sound absorption. In this paper, five types of TPMS sandwich panel structures, namely D, G, P, N, and I-WP, were proposed, and the finite element method was employed to analyze the low-frequency sound absorption performance of these five structures. Experimental validation was conducted by 3D printing P-type and G-type TPMS sandwich structures, and the sound absorption performance of these two structures was tested using the impedance tube method. The experimental results show good consistency with the simulation results. In the context of parameter analysis, the impacts of factors such as TPMS cell type, relative density, thickness of the perforated plate, cell size, and perforation radius on the sound absorption performance of the structure have been investigated. The results show that P sandwich panel with a thickness of 21 mm exhibits excellent sound absorption performance in the range of 512-685 Hz, with a bandwidth ratio of 43.25%. This represents a 9% increase in bandwidth ratio compared to G structure of the same thickness. Additionally, the peak resonance sound absorption coefficient at 540 Hz is 0.83, and the thickness of the structure is only 1/30 of the wavelength corresponding to the peak frequency of the sound absorption coefficient, demonstrating the deep sub-wavelength size characteristic of the P-type structure. D and N cells have high porosity and exhibit good resonance characteristics at a frequency of 400 Hz. The sound absorption bandwidth ratio of the D cells is increased by 17.4% compared to the P cells. As the relative density increases, the porosity of the cells decreases, the resonance frequency rises, and the sound absorption coefficient of the structure gradually decreases. However, the sound absorption bandwidth is slightly broadened. Increasing the thickness of the perforated plate reduces the resonance frequency of the structure and broadens the sound absorption frequency band. Enlarging the cell size or decreasing the perforation radius also leads to a lower resonance frequency and a higher sound absorption peak, but the sound absorption frequency band becomes slightly narrower.

     

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