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A Half-Analytical Method to Predict the Sound Absorption of Multiple Inhomogeneous Resonators Based on Sellers’ Method

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Abstract

This study proposes a general half-analytical method to predict the sound absorption of multiple inhomogeneous resonators inspired by Sellers’ method with small calculation cost. In this method, the sound absorption coefficient of single units is calculated by the finite element method (FEM), and superposition is used to predict the sound absorption coefficient of the overall structure. Unlike existing fully analytical methods that have difficulties with complicated or novel constructions, we combine FEM and the analytical method called the half-analytical method (HAE), which predicts sound absorption performance with excellent results. Two example structures are tested and the absorption coefficients from the analytical method, FEM, present method, and experiment show excellent agreement. The novel HAE method is promising to accurately predict the sound absorption coefficient of multiple inhomogeneous structures.

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Acknowledgements

This work was financially supported by the National Key Research and Development Program of China (No. 2020YFB1708303), the National Natural Science Foundation of China (Nos. U1808215 and 12072058), and the Fundamental Research Funds for the Central Universities of China (DUT20LK02).

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Authors and Affiliations

  1. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, 116024, Liaoning, People’s Republic of China

    Chen Lu, Wenjiong Chen, Xiaopeng Wang & Shutian Liu

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  1. Chen Lu
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  2. Wenjiong Chen
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  3. Xiaopeng Wang
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  4. Shutian Liu
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Correspondence to Wenjiong Chen.

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Lu, C., Chen, W., Wang, X. et al. A Half-Analytical Method to Predict the Sound Absorption of Multiple Inhomogeneous Resonators Based on Sellers’ Method. Acoust Aust 50, 355–364 (2022). https://doi.org/10.1007/s40857-022-00274-5

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  • DOI: https://doi.org/10.1007/s40857-022-00274-5

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