等速螺线型迷宫声学超材料的吸声性能

Sound absorption performance of constant velocity spiral maze acoustic metamaterial

  • 摘要: 等速螺线因其奇特的数学特性使其在工程领域具有重要应用价值,本文构建了一种由16组等速螺线型迷宫与微穿孔板耦合的声学超材料结构。通过有限元仿真与阻抗管法实验验证了该结构在700-1400 Hz低频范围内具有显著的吸声性能,结果表明实验与仿真的吸声系数平均误差小于0.04,最大偏差不超过0.08,验证了仿真模型的准确性。该结构在870-1320 Hz频段形成宽频吸声带,带宽占比达64.28%,并在1070 Hz处吸声峰值达到0.86,此时结构的厚度仅为吸声峰值频率对应波长的1/14,体现出该结构具有显著的亚波长特性。进一步研究了迷宫层高度h、等速螺线宽度w3、等速螺线的参数b、微穿孔板厚度ttop以及环境温度K等参数对结构吸声性能的影响,结果表明增大迷宫层高度h可使共振频率向低频偏移且带宽比提升;等速螺线宽度w3的增加则引起共振频率上移与带宽比缩减;增大螺线参数b与微穿孔板厚度ttop虽能增强吸声峰值强度,但会导致共振频率下降与带宽收窄;温度升高,其共振频率也随之上移。此外,还采用了多参数组合的方式设计了3种模型,通过研究发现,模型1在综合多个性能指标下的吸声效果最优。该研究为低频噪声治理提供了兼具参数可调性与结构紧凑性的解决方案。

     

    Abstract: The constant velocity spiral has important application value in the engineering field due to its unique mathematical properties. This paper constructs an acoustic metamaterial structure consisting of 16 sets of constant velocity spiral mazes coupled with micro perforated plates. The significant sound absorption performance of the structure in the low frequency range of 700-1400 Hz was verified through finite element simulation and impedance tube method experiments. The results showed that the average error of the sound absorption coefficient between the experiment and simulation was less than 0.04, and the maximum deviation did not exceed 0.08, which verified the accuracy of the simulation model. This structure forms a broadband sound absorbing band in the frequency range of 870-1320 Hz, with a bandwidth ratio of 64.28%. The absorption peak reaches 0.86 at 1070 Hz, and the thickness of the structure is only 1/14 of the wavelength corresponding to the absorption peak frequency, indicating that the structure has significant sub wavelength characteristics. Further research was conducted on the effects of maze layer height h, constant velocity spiral width w3, constant velocity spiral parameter b, micro perforated plate thickness ttop, and environmental temperature K on the sound absorption performance of the structure. The results showed that increasing the maze layer height h can shift the resonance frequency towards lower frequencies and improve the bandwidth ratio; The increase in the width w3 of the constant velocity spiral causes the resonance frequency to shift upward and the bandwidth ratio to decrease; Increasing the spiral parameter b and the thickness ttop of the micro perforated plate can enhance the peak intensity of sound absorption, but it will lead to a decrease in resonance frequency and a narrowing of bandwidth; As the temperature increases, its resonance frequency also shifts upward. In addition, three models were designed using a combination of multiple parameters. Through research, it was found that Model 1 had the best sound absorption effect when considering multiple performance indicators. This study provides a solution for low-frequency noise control that combines parameter adjustability and structural compactness.

     

/

返回文章
返回