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2012 Vol.31, Issue 1 Preview Page
An Analysis of the Sound Stopband in Periodically Corrugated 2-D Ducts

반복 주름을 갖는 이차원 덕트의 음파차단 해석

Hyun-Sil Kim1*
,
Jae-Seung Kim1
,
Bong-Ki Kim1
,
Sang-Ryul Kim1
,
Seong-Hyun Lee1
김 현실1*
,
김 재승1
,
김 봉기1
,
김 상렬1
,
이 성현1
1한국기계연구원 음향소음팀
*Corresponding Author
31 January 2012. pp. 11-18
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Abstract

In this paper, the occurrence of a stopband phenomenon when an acoustic wave propagates through periodically corrugated ducts is discussed using theoretical and BEM analyses. A 2-D duct with sinusoidally corrugated upper and lower walls is considered. When the magnitude of the sinusoidal corrugation is sufficiently small compared to the duct’s height, the wave equation is solved with the multiple scaling perturbation method. Then stopbands for Bragg and non-Bragg resonances are computed from the condition where frequency becomes a complex number. A 2-D BEM analysis is performed to compute insertion loss of the duct, and stopbands are confirmed as predicted by analytical analysis.

Keywords
Corrugated duct
2-D duct
Multiple scaling Perturbation method
Bragg’s resonance frequency
Insertion loss

본 논문은 경계가 주기적으로 변하는 주름관에 음파가 전파할 때 발생하는 차단주파수밴드 (stopband)를 이론 및 BEM으로 해석한 내용을 다루었다. 2-D 덕트를 고려하였으며 경계가 길이방향의 사인함수로 변하는 주름관에서 주름의 크기가 덕트 높이에 비해 충분히 작은 경우 다중 스케일 섭동법 (Multiple Scaling Perturbation Method)을 이용하여 해를 구하였다. 주파수가 복소수가 되는 조건에서 Bragg 공진과 Non-Bragg 공진에서 발생하는 차단주파수밴드의 형성조건을 구하였다. 2-D BEM 해석을 수행하여 주름관의 삽입손실 (Insertion Loss)을 계산하였으며 이론적으로 예측한 차단주파수밴드의 존재를 확인하였다.

키워드
주름관
2-D 덕트
다중스케일 섭동법
Bragg의 공진주파수
삽입손실
References
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Information
  • Publisher :The Acoustical Society of Korea
  • Publisher(Ko) :한국음향학회
  • Journal Title :The Journal of the Acoustical Society of Korea
  • Journal Title(Ko) :한국음향학회지
  • Volume : 31
  • No :1
  • Pages :11-18
  • Received Date : 2011-10-15
  • Revised Date : 2011-12-27
  • Accepted Date : 2012-01-06
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