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Development of New Sound Insulation Simulation Technology Using Finite Element Method for Efficiency of High Aspect Ratio Core in Low Frequency Range

Received: 18 February 2022    Accepted: 11 March 2022    Published: 18 March 2022
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Abstract

Nowadays, meta-materials are being studied to reduce vehicle interior noise. But it has not yet been found effective meta-materials at low frequencies below 500Hz. A panel with one core which has an excellent sound insulation where the higher the height of the core, the better the sound insulation characteristics have been founded. And so, depending on the core height, a structure with one core which is effective even at 500hz or less may be obtained. If the core height is high, it cannot be obtained by press forming, so the origami forming has been developed. Use of FEM which is versatile for shape of structure is effective for analysis of the plate with core or with sound absorbing material. Although the FEM analysis for sound insulation analysis was difficult, so far, two methods have been developed. Here these two methods to a flat plate and a flat plate with sound absorbing material to grasp their characteristics are compared and applied. And then the more versatile method is selected for sound insulation analysis to plates with one core which are formed by origami forming. As a result, it is shown that a plate with one core is effective for sound insulation characteristics at the low frequency below 500Hz depending on the balance between plate thickness and core height. At last, it is shown the core shape that maximizes the integral value of the sound insulation characteristic from 0 Hz to 500 Hz by an optimal analysis.

Published in International Journal of Mechanical Engineering and Applications (Volume 10, Issue 1)
DOI 10.11648/j.ijmea.20221001.12
Page(s) 7-16
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

Origami Forming, Origami Core, Optimal Analysis, Meta-material, Sound Absorbing Material, Helmholtz Equation

References
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[2] Hagiwara, I., Stamping and welding two steel plates cheaper than honeycomb-panels, Automotive Technology (2011-1), pp. 96-101 (in Japanese).
[3] Terada, K. and Hagiwara, I., Freely manufacturing methods such as origami forming, Journal of the Japan Society of Mechanical Engineers (2016), Vol. 119, No. 1175, pp. 564-565 (in Japanese), DOI: 10.1299/jsmemag.119.1175_564.
[4] Tokura, S. and Hagiwara, I., Forming Process Simulation of Truss Core Panel, Journal of Computational Science and Technology, Vol. 4 (2010), No. 1, pp. 25-35 (in Japanese).
[5] Gotoh, Y. and Saito, K., Design and Manufacture of the Core Panel by Origami Engineering, Transactions of the Japan Society of Mechanical Engineers, Vol. 119, No. 1175 (2016-10), pp. 576-577 (in Japanese).
[6] Ng, C. F. and Hui, C. K., ‘Low frequency sound insulation using stiffness control with honeycomb panels’, Applied Acoustics, Vol. 69 (2008), pp. 293–301.
[7] Nguyen, H. T. T., Thai, P. T., Yu, B. and Hagiwara, I., Development of a Manufacturing Method for Truss Core Panels Based on Origami-forming, J. Mechanisms Robotics, (Dec 09, 2015), DOI: 10.1115/1.4032208.
[8] Terada, K., Kadoi, K., Tokura, S., Sushida, T. and Hagiwara, I., The deformation mechanism on origami-based foldable structures, Int. J. Vehicle Performance, Vol. 3, No. 4, 2017, pp. 334-346.
[9] Terada, K. and Hagiwara, I., Proposition of folding line processing by press method in origami forming, Transactions of the JSME (2021), Vol. 87, No. 898 (in Japanese), DOI: 10.1299/transjsme.21-00070.
[10] P. F Joseph, A two-microphone method for the determination of the mode amplitude distribution in high-frequency ducted broadband sound fields, The Journal of the Acoustical Society of America 142, 2019 (2017), DOI: 10.1121/1.5004568.
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[12] Sophie, P., Maluski, S. and Gibbs, B. M., Application of a finite-element model to low-frequency sound insulation in dwellings, The Journal of the Acoustical Society of America, Vol. 108, No. 1741 (2000), DOI: 10.1121/1.1310355.
[13] Tomiku, R., Otsuru, T. and Takahashi, Y., Finite Element Sound Field Analysis of Diffuseness in Reverberation Rooms, Journal of Asian Architecture and Building Engineering, Vol. 1, No. 2 (2002), pp. 33-39 (in Japanese).
[14] Ishida, S., Morimura, H., Gotoh Y. and Hagiwara, I., New Transmission Loss Calculation Method Using Finite Element Method, Transactions of the Japan Society of Mechanical Engineers (2014), Vol. 80, No. 813 (in Japanese), DOI: 10.1299/transjsme.2014dr0127.
[15] Ishida, S., Morimura, H. and Hagiwara, I., Sound-Insulating Performance of Origami-based Sandwich Truss core Panels, Origami 6 (2016 1), pp. 431-438.
[16] Abe, A., Yashiro, H. and Hagiwara, I., Development of vertical incident sound insulation simulation technology using finite element method and application to lightweight core, Journal of the Society of Mechanical Engineers (2020) Vol. 86, No. 891, DOI: 10.1299/transjsme.20-00126 (in Japanese).
[17] Abe, A., Yashiro, H. and Hagiwara, I., Theoretical study of sound insulation simulations (about attaching effect of sound absorbing material and consideration of sound insulation performance by height of origami core), Proceedings of the ASME 2021 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference IDETC/CIE 2021-68851.
[18] Suzuki, Y., Akagi, M., Ito, A., Sato, H., Yuki, A. and Nakamura, K., The Acoustical Society of Japan ed., Introduction to acoustics (2011), pp. 170-191, Corona Publishing (in Japanese).
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Cite This Article
  • APA Style

    Abe Aya, Ichiro Hagiwara. (2022). Development of New Sound Insulation Simulation Technology Using Finite Element Method for Efficiency of High Aspect Ratio Core in Low Frequency Range. International Journal of Mechanical Engineering and Applications, 10(1), 7-16. https://doi.org/10.11648/j.ijmea.20221001.12

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    ACS Style

    Abe Aya; Ichiro Hagiwara. Development of New Sound Insulation Simulation Technology Using Finite Element Method for Efficiency of High Aspect Ratio Core in Low Frequency Range. Int. J. Mech. Eng. Appl. 2022, 10(1), 7-16. doi: 10.11648/j.ijmea.20221001.12

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    AMA Style

    Abe Aya, Ichiro Hagiwara. Development of New Sound Insulation Simulation Technology Using Finite Element Method for Efficiency of High Aspect Ratio Core in Low Frequency Range. Int J Mech Eng Appl. 2022;10(1):7-16. doi: 10.11648/j.ijmea.20221001.12

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  • @article{10.11648/j.ijmea.20221001.12,
      author = {Abe Aya and Ichiro Hagiwara},
      title = {Development of New Sound Insulation Simulation Technology Using Finite Element Method for Efficiency of High Aspect Ratio Core in Low Frequency Range},
      journal = {International Journal of Mechanical Engineering and Applications},
      volume = {10},
      number = {1},
      pages = {7-16},
      doi = {10.11648/j.ijmea.20221001.12},
      url = {https://doi.org/10.11648/j.ijmea.20221001.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijmea.20221001.12},
      abstract = {Nowadays, meta-materials are being studied to reduce vehicle interior noise. But it has not yet been found effective meta-materials at low frequencies below 500Hz. A panel with one core which has an excellent sound insulation where the higher the height of the core, the better the sound insulation characteristics have been founded. And so, depending on the core height, a structure with one core which is effective even at 500hz or less may be obtained. If the core height is high, it cannot be obtained by press forming, so the origami forming has been developed. Use of FEM which is versatile for shape of structure is effective for analysis of the plate with core or with sound absorbing material. Although the FEM analysis for sound insulation analysis was difficult, so far, two methods have been developed. Here these two methods to a flat plate and a flat plate with sound absorbing material to grasp their characteristics are compared and applied. And then the more versatile method is selected for sound insulation analysis to plates with one core which are formed by origami forming. As a result, it is shown that a plate with one core is effective for sound insulation characteristics at the low frequency below 500Hz depending on the balance between plate thickness and core height. At last, it is shown the core shape that maximizes the integral value of the sound insulation characteristic from 0 Hz to 500 Hz by an optimal analysis.},
     year = {2022}
    }
    

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  • TY  - JOUR
    T1  - Development of New Sound Insulation Simulation Technology Using Finite Element Method for Efficiency of High Aspect Ratio Core in Low Frequency Range
    AU  - Abe Aya
    AU  - Ichiro Hagiwara
    Y1  - 2022/03/18
    PY  - 2022
    N1  - https://doi.org/10.11648/j.ijmea.20221001.12
    DO  - 10.11648/j.ijmea.20221001.12
    T2  - International Journal of Mechanical Engineering and Applications
    JF  - International Journal of Mechanical Engineering and Applications
    JO  - International Journal of Mechanical Engineering and Applications
    SP  - 7
    EP  - 16
    PB  - Science Publishing Group
    SN  - 2330-0248
    UR  - https://doi.org/10.11648/j.ijmea.20221001.12
    AB  - Nowadays, meta-materials are being studied to reduce vehicle interior noise. But it has not yet been found effective meta-materials at low frequencies below 500Hz. A panel with one core which has an excellent sound insulation where the higher the height of the core, the better the sound insulation characteristics have been founded. And so, depending on the core height, a structure with one core which is effective even at 500hz or less may be obtained. If the core height is high, it cannot be obtained by press forming, so the origami forming has been developed. Use of FEM which is versatile for shape of structure is effective for analysis of the plate with core or with sound absorbing material. Although the FEM analysis for sound insulation analysis was difficult, so far, two methods have been developed. Here these two methods to a flat plate and a flat plate with sound absorbing material to grasp their characteristics are compared and applied. And then the more versatile method is selected for sound insulation analysis to plates with one core which are formed by origami forming. As a result, it is shown that a plate with one core is effective for sound insulation characteristics at the low frequency below 500Hz depending on the balance between plate thickness and core height. At last, it is shown the core shape that maximizes the integral value of the sound insulation characteristic from 0 Hz to 500 Hz by an optimal analysis.
    VL  - 10
    IS  - 1
    ER  - 

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Author Information
  • Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, Tokyo, Japan

  • Meiji Institute for Advanced Study of Mathematical Sciences, Meiji University, Tokyo, Japan

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