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Noise control from dual air cavity membranes in a rigid waveguide

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Abstract

The present study aims to analyze the noise reduction from double membranes with an air cavity between them in a rigid duct for the determination of acoustic radiation and transmission losses. A mode-matching scheme for solving the governing boundary value problem is presented. The proposed scheme is also suitable for taking into account the contribution of the higher order mode and for imposing physical conditions at the membrane edges. The correctness of the truncated mode matching solution is verified by checking the conservation laws and reformulating the normal velocities at the interfaces. Numerical experiments show that the stiffness of the elastic components and the geometric configuration of the device significantly affect the attenuation of the propagating modes.

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Acknowledgements

This work was funded by the Prince Nawaf bin Abdelaziz Chair of Sustainable Development in collaboration with the Deanship of Scientific Research at Jouf University under grant No (DSSR2021-Price Nawaf bin Abdelaziz Chair-015)

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Authors and Affiliations

  1. Department of Mathematics, College of Science, Jouf University, P.O. Box 2014, Sakaka, Saudi Arabia

    H. N. Alahmadi & A. D. Alruwaili

  2. Department of Mathematics, COMSATS University Islamabad, Park Road, Islamabad, 45550, Pakistan

    R. Nawaz

  3. Department of Mathematics, College of Science and Arts, King Abdulaziz University, Rabigh, Saudi Arabia

    M. Alkinidri

Authors
  1. H. N. Alahmadi
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  2. R. Nawaz
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  3. M. Alkinidri
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  4. A. D. Alruwaili
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Correspondence to R. Nawaz.

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Alahmadi, H.N., Nawaz, R., Alkinidri, M. et al. Noise control from dual air cavity membranes in a rigid waveguide. Meccanica 57, 3023–3032 (2022). https://doi.org/10.1007/s11012-022-01611-8

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  • DOI: https://doi.org/10.1007/s11012-022-01611-8

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