Abstract
We present a thickness optimization method for maximizing the sound transmission loss (STL) by using the FE-ERA method that combines the finite element method (FEM) and elementary radiator approach (ERA). The proposed thickness optimization aims to find the optimum thickness distribution of the panel structure, which maximizes the STL while constraining the amount of material. The developed thickness optimization employs the FE-ERA, which computes the sound pressure by summing contributions of many pistons distributed on the surface, to save the computational cost in the finite element modeling. The design sensitivity analysis incorporating the FE-ERA is derived by using the adjoint variable method. Numerical examples that maximize the STL of a square panel subjected to the normal and diffuse field incidences are presented. The optimized design uses the same amount of material, while the STL is significantly improved at the optimization frequency. The effectiveness of the proposed method is validated by comparison with the optimized design obtained by the high-frequency approximation (HFA), which is limited to a high-frequency regime. The numerical examples show that the proposed method performs better than the HFA-based method when the optimizing frequency is a low-frequency noise located in the resonance-control region.
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Acknowledgements
All the authors acknowledge the support of the Audio Research in GN Audio A/S. This work was partially supported by the Technical University of Denmark (Signature project).
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Jung, J., Kook, J. & Goo, S. Maximizing sound transmission loss using thickness optimization based on the elementary radiator approach. Struct Multidisc Optim 65, 122 (2022). https://doi.org/10.1007/s00158-022-03228-7
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DOI: https://doi.org/10.1007/s00158-022-03228-7