Skip to content
Microsystems, Electronics and Acoustics
ISSN 2523-4447 · e‑ISSN 2523-4455 Open Access · CC BY-SA 4.0
Vol. 29 · Issue 3 · 2024 Dec 17, 2024 Review articles

Models of Acoustic Resonators in Studies of Sound-Absorbing Structures

DR
Dmytro Dmytrovychj Razumov Corresponding Національний технічний університет України «Київський політехнічний інститут імені Ігоря Сікорського» Ukraine
Pages314535.1-314535.8 PublishedDec 17, 2024
VOL 29 · ISS 3 · 2024 View issue

Abstract

This paper provides a comprehensive review of four primary models used to represent Helmholtz resonators in sound-absorbing structures. The purpose of the article is to analyze these models in the context of their application, accuracy, and suitability for different types of acoustic problems. The review focuses on: the simple harmonic oscillator model, which provides a basic yet effective approach for estimating resonance frequencies; the wave equation model, which is well-suited for complex geometries and wave propagation phenomena; the electrical analogy model, used to represent resonators in systems with multiple interacting elements; and the Finite Element Method (FEM), offering high precision for detailed simulations of complex acoustic systems. For each model, typical calculation problems are discussed to highlight their practical applications, along with examples from existing research. Additionally, the article provides recommendations for further development of these models. This review serves as a foundation for selecting appropriate modeling methods for various acoustic design challenges and offers guidance for future research in this field.

Keywords

References

  1. V. S. Didkovskyi and S. A. Luniova, Osnovy arkhitekturnoi ta fiziolohochnoi akustyky [Fundamentals of architectural and physiological acoustics], vol. 4. Kyiv, Ukraine: RSI Hydroprylad, 2001
  2. U. Ingard, “On the Theory and Design of Acoustic Resonators,” J Acoust Soc Am, vol. 25, no. 6, pp. 1037–1061, Nov. 1953, DOI: https://doi.org/10.1121/1.1907235
  3. T. J. Cox and P. D’Antonio, Acoustic Absorbers and Diffusers. Theory, Design and Application. CRC Press, 2016. ISBN: 9781315352220.
  4. M. Long, Architectural Acoustics, 2nd ed. Elsevier, 2014, ISBN: 978-0-1239-8258-2
  5. N. H. Fletcher and T. D. Rossing, The Physics of Musical Instruments. New York, NY: Springer New York, 1998, ISBN: 978-1-4419-3120-7
  6. B. Kim et al., “Development of a Slit-Type Soundproof Panel for a Reduction in Wind Load and Low-Frequency Noise with Helmholtz Resonators,” Applied Sciences, vol. 11, no. 18, p. 8678, Sep. 2021, DOI: https://doi.org/10.3390/app11188678
  7. Y. Kopytko, V. Zaets, S. Naida, V. Didkovskyi, and A. Damarad, “Research of the Resonance Properties of Helmholtz Resonators,” ScienceRise, vol. 4, pp. 10–16, Aug. 2020, DOI: https://doi.org/10.21303/2313-8416.2020.001389
  8. J. S. Kopytko, “Calculation of the Resonant Frequencies of the Throat Part of the Helmholtz Resonator,” Microsystems, Electronics and Acoustics, vol. 23, no. 5, pp. 70–75, Oct. 2018, DOI: https://doi.org/10.20535/2523-4455.2018.23.5.147782
  9. Y. S. Kopytko and S. A. Naida, “Calculation of the offset amplitudes in the Helmholtz resonators’ throat part at the resonance frequencies,” Microsystems, Electronics and Acoustics, vol. 24, no. 1, pp. 79–84, Feb. 2019, DOI: https://doi.org/10.20535/2523-4455.2019.24.1.164315
  10. F. Langfeldt, H. Hoppen, and W. Gleine, “Broadband low-frequency sound transmission loss improvement of double walls with Helmholtz resonators,” J Sound Vib, vol. 476, p. 115309, Jun. 2020, DOI: https://doi.org/10.1016/j.jsv.2020.115309
  11. M. V. Indenbom and S. P. Pogossian, “Characteristics of partially filled Helmholtz resonators,” Acta Acustica, vol. 7, p. 51, Oct. 2023, DOI: https://doi.org/10.1051/aacus/2023039
  12. K. Mahesh and R. S. Mini, “Helmholtz resonator based metamaterials for sound manipulation,” J Phys Conf Ser, vol. 1355, no. 1, p. 012031, Nov. 2019, DOI: https://doi.org/10.1088/1742-6596/1355/1/012031
  13. Q. Zhang et al., “Multi-Tube Helmholtz Resonator Based Triboelectric Nanogenerator for Broadband Acoustic Energy Harvesting,” Front Mater, vol. 9, Apr. 2022, DOI: https://doi.org/10.3389/fmats.2022.896953
  14. Z. Hu, C. Yang, and L. Cheng, “Acoustic resonator tuning strategies for the narrowband noise control in an enclosure,” Applied Acoustics, vol. 134, pp. 88–96, May 2018, DOI: https://doi.org/10.1016/j.apacoust.2018.01.013
  15. B. Lemkalli, M. Idrissi, A. Mir, and Y. Achaoui, “Lightweight panels based on Helmholtz resonators for low-frequency acoustic insulation,” E3S Web of Conferences, vol. 469, p. 00042, Dec. 2023, DOI: https://doi.org/10.1051/e3sconf/202346900042
  16. D. Guan, D. Zhao, and Z. Ren, “Aeroacoustic Attenuation Performance of a Helmholtz Resonator with a Rigid Baffle Implemented in the Presence of a Grazing Flow,” International Journal of Aerospace Engineering, vol. 2020, pp. 1–16, Apr. 2020, DOI: https://doi.org/10.1155/2020/1916239
  17. R. Xue, C. M. Mak, D. Wu, and K. W. Ma, “The acoustic performance of a dual Helmholtz resonators system in the presence of a grazing flow,” Int J Aeroacoust, vol. 22, no. 1–2, pp. 23–40, Mar. 2023, DOI: https://doi.org/10.1177/1475472X221150175
  18. L. Yuvaraj, S. Jeyanthi, and L. B. M. Chinnapandi, “Sound absorption of Multilayer Micro perforated Panel with Helmholtz Resonator Mount,” in 48th International Congress and Exhibition on Noise Control Engineering (INTERNOISE 2019), 2019, p. 1671, URL: https://www.sea-acustica.es/INTERNOISE_2019/Fchrs/Proceedings/1671.pdf
  19. D. D. Razumov, “Vyznachennya vlastyvostey pohlynannya zvuku perforovanymy akustychnymy konstruktsiyamy [Determination of sound absorption properties of perforated acoustic structures],” Master Thesis, Igor Sikorsky KPI, Kyiv, Ukraine, 2023, URL: https://ela.kpi.ua/handle/123456789/63551
  20. Y. S. Kopytko, “Akustychni rezonatory skladnoyi formy [Acoustic resonators of complex shape],” PhD Thesis, Igor Sikorsky KPI, Kyiv, Ukraine, 2021, URL: https://ela.kpi.ua/handle/123456789/39569
  21. S. Basirjafari, “Innovative solution to enhance the Helmholtz resonator sound absorber in low-frequency noise by nature inspiration,” J Environ Health Sci Eng, vol. 18, no. 2, pp. 873–882, Dec. 2020, DOI: https://doi.org/10.1007/s40201-020-00512-w
  22. E. Choi and W. Jeon, “Near-perfect sound absorption using hybrid resonance between subwavelength Helmholtz resonators with non-uniformly partitioned cavities,” Sci Rep, vol. 14, no. 1, p. 3174, Feb. 2024, DOI: https://doi.org/10.1038/s41598-024-53595-y
  23. Y. Zhu, H. Long, C. Liu, H. Zhang, Y. Cheng, and X. Liu, “An ultra-thin ventilated metasurface with extreme asymmetric absorption,” Appl Phys Lett, vol. 120, no. 14, Apr. 2022, DOI: https://doi.org/10.1063/5.0086859
  24. M. Liu, X. Wang, and F. Xin, “Sound absorption of acoustic resonant absorbers with rough oblique perforations,” Applied Acoustics, vol. 217, p. 109828, Feb. 2024, DOI: https://doi.org/10.1016/j.apacoust.2023.109828
  25. A. Chojak, W. Binek, B. Chojnacki, J. Pqwlik, and J. Idczak, “The effect of sound-absorbing walls on the acoustic properties of the modelled unit cell of a sound-absorbing metamaterial,” Vibrations in Physical Systems, vol. 34, no. 2, pp. 1–8, 2023, DOI: https://doi.org/10.21008/j.0860-6897.2023.2.12
  26. S. Bi et al., “Enhancement of sound absorption performance of Helmholtz resonators by space division and chamber grouping,” Applied Acoustics, vol. 207, p. 109352, May 2023, DOI: https://doi.org/10.1016/j.apacoust.2023.109352
  27. J. Guo, Y. Fang, R. Qu, Q. Liu, and X. Zhang, “An extra-broadband compact sound-absorbing structure composing of double-layer resonator with multiple perforations,” J Acoust Soc Am, vol. 150, no. 2, pp. 1370–1380, Aug. 2021, DOI: https://doi.org/10.1121/10.0005912
  28. H. Hoppen, F. Langfeldt, W. Gleine, and O. von Estorff, “Helmholtz resonator with two resonance frequencies by coupling with a mechanical resonator,” J Sound Vib, vol. 559, p. 117747, Sep. 2023, DOI: https://doi.org/10.1016/j.jsv.2023.117747
  29. N. M. Papadakis and G. E. Stavroulakis, “Tunable Helmholtz Resonators Using Multiple Necks,” Micromachines (Basel), vol. 14, no. 10, p. 1932, Oct. 2023, DOI: https://doi.org/10.3390/mi14101932
§ 06 — Related

Similar articles in this journal

Related peer-reviewed studies published in this journal.
View all issues

Software Support for the Higher Mathematics Course at the Technical University: Part 3. GNU Octave

Dmytro Voitsikh, Danylo Hryn, Mariia Hryniuk, PhD, Assoc. Prof. Oleksii Viktorovych Bogdanov, PhD, Assoc. Prof. Yurii Pavlovych Butsenko, PhD, Assoc. Prof. Olena Ivanivna Balina, PhD, Assoc. Prof. Iryna Srhiivna Bezklubenko

This paper explores a methodological approach to modernizing the higher mathematics curriculum for engineering students, with a specific focus on the needs of “G5…

#Engineering education #Teaching engineering #Electronics engineering #GNU Octave
p. 359022.1-359022.10
10.20535/2523-4455.mea.359022

Similar Articles

1-10 of 63

You may also start an advanced similarity search for this article.