微穿孔板吸声性能的全局参数灵敏度分析

Global parameter sensitivity analysis of sound absorption performance of micro-perforated panels

  • 摘要: 孔径、穿孔率、厚度、腔深是影响微穿孔板吸声性能的关键参数,掌握这些参数对吸声性能的影响规律是开展微穿孔板吸声性能设计的关键。现有研究通常聚焦于单变量参数分析或基于局部求导的一阶灵敏度评估,难以量化各参数影响的相对权重。鉴于此,本文基于微穿孔板吸声理论并采用Sobol'法开展全局灵敏度分析,通过量化一阶、二阶及全局灵敏度揭示微穿孔板各参数的耦合机制,并结合实验与仿真验证分析结果的可靠性。研究表明:在1000 Hz以下,孔径与穿孔率对吸声性能起主导作用,而1000 Hz以上,腔深为主导参数,厚度影响最小;在整个分析频段,腔深与孔径、穿孔率之间存在强耦合效应,孔径与穿孔率则呈现中等耦合强度。论文的工作明确了微穿孔板吸声性能的主控参数及其交互机制,为高性能微穿孔板吸声结构设计提供了一定的理论依据与实践指导。

     

    Abstract: The perforation diameter, perforation ratio, thickness, and cavity depth are the key parameters affecting the sound absorption of micro-perforated panels (MPP). Understanding the effects of these parameters is critical for the optimal design of MPP-based acoustic structures. Existing studies often focus on single-variable analysis or first-order local sensitivity methods, which are insufficient to quantify the relative importance of each parameter. To address this limitation, this study develops a global sensitivity analysis model based on classical MPP acoustic theory and the Sobol' method. The model quantifies first-order, second-order, and total sensitivity indices, thereby revealing the coupling mechanisms among MPP parameters. The analysis results are validated through both numerical simulations and experimental measurements. The findings indicate that below 1000 Hz, diameter and perforation ratio dominate the absorption performance, whereas above 1000 Hz, cavity depth becomes the primary influencing factor, with panel thickness having minimal effect. Across the entire analysis spectrum, strong coupling effects are observed between cavity depth and the other two parameters (diameter and perforation ratio), while a moderate coupling exists between diameter and perforation ratio. This work identifies the dominant parameters and their interaction mechanisms governing MPP acoustic behavior, providing a theoretical foundation and practical guidance for the design of high-performance MPP sound absorbers.

     

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