Journal of the Korea Institute of Information and Communication Engineering (한국정보통신학회논문지)

The Korea Institute of Information and Commucation Engineering (한국정보통신학회)
권호 표지
DOI QR코드

DOI QR Code

An Approach for Modeling of Sound Absorbing Material using Debye Polarization

Debye Polarization을 이용한 흡음재 모델링에 대한 연구

  • 박규칠 (부경대학교 정보통신공학과) ;
  • ;
  • 윤종락 (부경대학교 정보통신공학과)
  • Received : 2012.05.25
  • Accepted : 2012.06.16
  • Published : 2012.07.31
Download PDF
⟨ Previous Next ⟩

Abstract

It is introduced an approach to model for numerical analysis of a sound absorbing material that has different absorbing coefficient according to frequency. For modeling of a sound absorbing material, we tried to model by a traditional modeling method. But it had large differences on frequency domain, especially a capacitance component due to increasing of frequency. We approach to model a sound absorbing material by the Debye polarization technique with non-linear least square method. At first, we estimated parameters form a polyurethane with thickness 25 mm, then we could model a polyurethane with thickness 50 mm using same parameters. Therefor, we could find that the Debye polarization is an useful way to model sound absorbing materials.

본 연구에서는 해저의 반사면이나 흡음재와 같이 주파수에 따라 다른 특성을 가지는 매체를 수치적으로 모델링하였다. 기존의 흡음재 해석 등가회로 모델에 용량성 성분을 부가하기 위해 Debye polarization 기법을 적용하여 흡음재의 모델링을 하였다. 이 모델의 파라미터를 추정하기 위해 폴리우레탄이라는 흡음재의 흡음 주파수 특성을 이용하였다. 파라미터의 추정에는 non-linear least squares라는 비선형 최적화 기법을 사용하였다. 먼저 두께 25 mm의 폴리우레탄의 흡음재의 파라미터를 추정하였으며, 이 파라미터를 이용해 50 mm의 폴리우레탄의 특성을 모델링하는 것이 가능하였다. 이를 바탕으로 흡음재의 주파수에 따른 흡음 특성을 하나의 간단한 모델로 모델링하는 것이 가능함을 보였다.

Keywords

References

  1. L. Chai and Y. Kagawa, "Discrete Huygens' modeling for the characterization of a sound absorbing medium", Jour. Sound & Vib. 304, pp.587-605, 2007. https://doi.org/10.1016/j.jsv.2007.03.001
  2. Y. Kagawa, T. Tsuchiya, B. Fujii and K. Fujioka, "Discrete Huygens' model approach to sound wave propagation", Jour. Sound & Vib. 218(3) pp.419-444, 1998. https://doi.org/10.1006/jsvi.1998.1861
  3. Y. Kagawa, T. Tsuchiya, K. Fujioka and M. Takeuchi, "Discrete Huygens' model approach to sound wave propagation - Reverberation in a room, sound source identification and tomography in time reversal", J. Sound & Vib. 225(1) pp.61-78, 1999. https://doi.org/10.1006/jsvi.1999.2227
  4. Kyu-Chil Park, Yukio Kagawa and Takao Tsuchiya, "The TLM Modelling of Surface Acoustic Waves Devices", Proc. of the 19th Computational Electromagnetics and Electronics Symposium, pp.167-170, 1999.
  5. Y. Kagawa, T. Fujitani, Y. Fujita, L. Chai, N. Wakatsuki, T. Tsuchiya, "Discrete Huygens' modeling approach to wave propagations in a homogeneous elastic field," Journal of Sound and Vibration, 255(2) pp.323-335, 2003.
  6. 강대준, 이우석, 이재원, 홍준기, 조윤희, "흡음재의 시험조건에 따른 흡음성능 특성," 한국소음진동공학회 논문집, 16(7) pp.683-689, 2006. https://doi.org/10.5050/KSNVN.2006.16.7.683
  7. 강대준, 이재원, 구진회, 박형규, "시험방법에 따른 흡음률 비교," 한국소음진동공학회 논문집, 17(5) pp.373-378, 2007. https://doi.org/10.5050/KSNVN.2007.17.5.373
  8. O. Hashimoto, The Story of the Wave Absorber, Nikkan Industrial News Publishing Co. Ltd., 2001, (In Japanese).
  9. The Mathworks, Inc., Optimization Toolbox 4 User's Guide, The Mathworks, Inc., 2009.
  10. Roman CIMBALA, "The Calculation of Polarization Spectrum and Activation Energy of Insulation during Accelerated Thermal Stress," Acta Electrotechnica et Informatica 2(6) pp.1-4, 2006.
  11. F. Mady, J. M. Reboul and R. Renoud, "Formal analogy between multiple-trapping and polarization models: a physical picture for the Cole-Cole formula," J. Phys. D: Appl. Phys. 38 pp.2271-2275, 2005. https://doi.org/10.1088/0022-3727/38/13/028
  12. Tian Hao, Akiko Kawai, and Fumikazu Ikazaki, "Direct Differentiation of the Types of Polarization Responsible for the Electrorheo- logical Effect By a Dielectric Method," Journal of Colloid and Interface Science 239, pp.106-112, 2001. https://doi.org/10.1006/jcis.2001.7599
  13. R. M. Nelms, D. R. Cahela, and Bruce J. Tatarchuk, "Using a Debye Polarization Cell to Predict Double- Layer Capacitor Performance," IEEE Transactions on Industry Applications, 37(1) pp.4-8, Jan./Feb. 2001. https://doi.org/10.1109/28.903119
  14. The Mathworks, Inc., Genetic Algorithm and Direct Search Toolbox 2 User's Guide, The Mathworks, Inc., 2009.
  15. Andreas Klimke, Sparse Grid Interpolation Toolbox User's Guide, Institut fur Angewandte Analysis und Numerische Simulation (IANS), 2008.

Cited by

  1. 전달선로행렬법을 이용한 흡음재 모델링에 대한 수치해석 vol.16, pp.8, 2012, https://doi.org/10.6109/jkiice.2012.16.8.1599