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2014 Vol.33, Issue 2
Identification of the Sectional Distribution of Sound Source in a Wide Duct

넓은 덕트 단면내의 음원 분포 규명

Yong-Ho Heo1
,
Jeong-Guon Ih1*
허 용호1
,
이 정권1*
1한국과학기술원 기계공학과 소음 및 진동제어 연구센터
*교신저자. *Corresponding Author. 
31 March 2014. pp. 87-93
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Abstract

If one identifies the detailed distribution of pressure and axial velocity at a source plane, the position and strength of major noise sources can be known, and the propagation characteristics in axial direction can be well understood to be used for the low noise design. Conventional techniques are usually limited in considering the constant source characteristics specified on the whole source surface; then, the source activity cannot be known in detail. In this work, a method to estimate the pressure and velocity field distribution on the source surface with high spatial resolution is studied. The matrix formulation including the evanescent modes is given, and the nearfield measurement method is proposed. Validation experiment is conducted on a wide duct system, at which a part of the source plane is excited by an acoustic driver in the absence of airflow. Increasing the number of evanescent modes, the prediction of pressure spectrum becomes further precise, and it has less than -25 dB error with 26 converged evanescent modes within the Helmholtz number range of interest. By using the converged modal amplitudes, the source parameter distribution is restored, and the position of the driver is clearly identified at kR = 1. By applying the regularization technique to the restored result, the unphysical minor peaks at the source plane can be effectively suppressed with the filtering of the over-estimated pure radial modes.

Keywords
In-duct source
nearfield measurement
evanescent wave
inverse problem
spatial resolution

덕트 내 음원 면에서의 음압과 입자 속도분포를 상세히 알 수 있다면, 주된 소음원들의 위치와 강도를 분석하여 전파특성을 잘 이해할 수 있고, 이에 따라 저소음화 설계에 유용한 정보로 활용가능하다. 이를 위한 기존의 방법들은 대개 단면상 위치와 무관한 일정 변수로 나타내는 제한점이 있다. 본 논문에서는 음원의 단면 분포를 높은 공간분해능으로 관찰할 수 있는 방법에 대해 연구하였다. 모드 합성법을 기반으로 감쇠파의 영향과 근접장 측정을 포함하는 행렬식을 유도하였으며, 컴프레션 드라이버에 의해 일부 단면이 가진된 유동이 없는 덕트 시스템에서 검증하였다. 감쇠파 모드 개수의 증가에 따라 음압 스펙트럼을 더욱 정확하게 근사화 할 수 있었으며, 26개의 감쇠파 모드를 포함한 수렴 결과로부터 관심 헬름홀쯔 수 영역에서 -25 dB 이하의 오차로 예측할 수 있었다. 수렴된 모드 진폭들을 이용하여 kR = 1에서 음원 면에서의 음원변수 분포를 관찰한 결과, 실제 음원이 설치된 국소 위치에서 높은 음압과 입자 속도 값을 분명히 나타내는 것을 보였다. 또한, 감쇠 모드의 역추산시에 정규화기법을 도입하여, 과결정된 반경방향 모드에 의해 발생된 무의미한 피크들을 효과적으로 제거할 수 있었다.

키워드
덕트 내 음원
근접장 측정
감쇠파
역문제
공간 해상도
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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 : 33
  • No :2
  • Pages :87-93
  • Received Date : 2013-12-12
  • Accepted Date : 2014-01-15
  • DOI :https://doi.org/10.7776/ASK.2014.33.2.087
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