American Journal of Physics and Applications

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A Parametric Analysis on the Sound Absorbing Performance of the Locally Resonant Sonic Material Using a Mass-Damper-Spring Model

Received: 11 July 2016    Accepted: 20 July 2016    Published: 03 August 2016
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Abstract

The locally resonant sonic material (LRSM) is a kind of structural composite. Such composite typically consists of an elastic matrix periodically embedded with metallic spheres, which are coated with soft rubber. Owing to its capability of controlling the low frequency sound, the LRSM has a promising prospect in the application of underwater acoustic materials. This paper proposes a mass-damper-spring model to explain the sound absorbing mechanism of the LRSM, and derives analytical formulae to evaluate the absorbing performance. After reasonable simplification, the analytical formulae can intuitively illustrate the relationship between the absorbing performance and the parameters of the LRSM. The correctness of the physical model was verified by comparing the analytical evaluation with the numerical result calculated by the layer-multiple-scattering method. The result shows that the sound absorption of the LRSM is induced by the energy dissipation of the damped local resonator subjected to excitations. The influence of the parameters on the absorbing performance of the LRSM is analysed systematically. It is shown that a resonator with a heavier core and a stiffer coat can produce a better sound absorbing performance.

DOI 10.11648/j.ajpa.20160405.11
Published in American Journal of Physics and Applications (Volume 4, Issue 5, September 2016)
Page(s) 124-133
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Local Resonance, Sound Absorption, Underwater Acoustic Material, Mass-Damper-Spring Model

References
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Author Information
  • Department of Machinery and Electrical Engineering, Logistical Engineering University, Chongqing, China

  • Department of Machinery and Electrical Engineering, Logistical Engineering University, Chongqing, China

  • Department of Military Engineering Management, Logistical Engineering University, Chongqing, China

  • Department of Machinery and Electrical Engineering, Logistical Engineering University, Chongqing, China

  • Department of Machinery and Electrical Engineering, Logistical Engineering University, Chongqing, China

  • Department of Machinery and Electrical Engineering, Logistical Engineering University, Chongqing, China

Cite This Article
  • APA Style

    Bo Yuan, Min Jiang, Miao He, Shuai Tang, Li Zhang, et al. (2016). A Parametric Analysis on the Sound Absorbing Performance of the Locally Resonant Sonic Material Using a Mass-Damper-Spring Model. American Journal of Physics and Applications, 4(5), 124-133. https://doi.org/10.11648/j.ajpa.20160405.11

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    ACS Style

    Bo Yuan; Min Jiang; Miao He; Shuai Tang; Li Zhang, et al. A Parametric Analysis on the Sound Absorbing Performance of the Locally Resonant Sonic Material Using a Mass-Damper-Spring Model. Am. J. Phys. Appl. 2016, 4(5), 124-133. doi: 10.11648/j.ajpa.20160405.11

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    AMA Style

    Bo Yuan, Min Jiang, Miao He, Shuai Tang, Li Zhang, et al. A Parametric Analysis on the Sound Absorbing Performance of the Locally Resonant Sonic Material Using a Mass-Damper-Spring Model. Am J Phys Appl. 2016;4(5):124-133. doi: 10.11648/j.ajpa.20160405.11

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  • @article{10.11648/j.ajpa.20160405.11,
      author = {Bo Yuan and Min Jiang and Miao He and Shuai Tang and Li Zhang and Minglin Tu},
      title = {A Parametric Analysis on the Sound Absorbing Performance of the Locally Resonant Sonic Material Using a Mass-Damper-Spring Model},
      journal = {American Journal of Physics and Applications},
      volume = {4},
      number = {5},
      pages = {124-133},
      doi = {10.11648/j.ajpa.20160405.11},
      url = {https://doi.org/10.11648/j.ajpa.20160405.11},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajpa.20160405.11},
      abstract = {The locally resonant sonic material (LRSM) is a kind of structural composite. Such composite typically consists of an elastic matrix periodically embedded with metallic spheres, which are coated with soft rubber. Owing to its capability of controlling the low frequency sound, the LRSM has a promising prospect in the application of underwater acoustic materials. This paper proposes a mass-damper-spring model to explain the sound absorbing mechanism of the LRSM, and derives analytical formulae to evaluate the absorbing performance. After reasonable simplification, the analytical formulae can intuitively illustrate the relationship between the absorbing performance and the parameters of the LRSM. The correctness of the physical model was verified by comparing the analytical evaluation with the numerical result calculated by the layer-multiple-scattering method. The result shows that the sound absorption of the LRSM is induced by the energy dissipation of the damped local resonator subjected to excitations. The influence of the parameters on the absorbing performance of the LRSM is analysed systematically. It is shown that a resonator with a heavier core and a stiffer coat can produce a better sound absorbing performance.},
     year = {2016}
    }
    

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    T1  - A Parametric Analysis on the Sound Absorbing Performance of the Locally Resonant Sonic Material Using a Mass-Damper-Spring Model
    AU  - Bo Yuan
    AU  - Min Jiang
    AU  - Miao He
    AU  - Shuai Tang
    AU  - Li Zhang
    AU  - Minglin Tu
    Y1  - 2016/08/03
    PY  - 2016
    N1  - https://doi.org/10.11648/j.ajpa.20160405.11
    DO  - 10.11648/j.ajpa.20160405.11
    T2  - American Journal of Physics and Applications
    JF  - American Journal of Physics and Applications
    JO  - American Journal of Physics and Applications
    SP  - 124
    EP  - 133
    PB  - Science Publishing Group
    SN  - 2330-4308
    UR  - https://doi.org/10.11648/j.ajpa.20160405.11
    AB  - The locally resonant sonic material (LRSM) is a kind of structural composite. Such composite typically consists of an elastic matrix periodically embedded with metallic spheres, which are coated with soft rubber. Owing to its capability of controlling the low frequency sound, the LRSM has a promising prospect in the application of underwater acoustic materials. This paper proposes a mass-damper-spring model to explain the sound absorbing mechanism of the LRSM, and derives analytical formulae to evaluate the absorbing performance. After reasonable simplification, the analytical formulae can intuitively illustrate the relationship between the absorbing performance and the parameters of the LRSM. The correctness of the physical model was verified by comparing the analytical evaluation with the numerical result calculated by the layer-multiple-scattering method. The result shows that the sound absorption of the LRSM is induced by the energy dissipation of the damped local resonator subjected to excitations. The influence of the parameters on the absorbing performance of the LRSM is analysed systematically. It is shown that a resonator with a heavier core and a stiffer coat can produce a better sound absorbing performance.
    VL  - 4
    IS  - 5
    ER  - 

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