Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Design of a Helmholtz Resonator for Noise Reduction in a Duct Considering Geometry Information: Additional Relationship Equation and Experiment

형상 정보를 고려한 덕트 소음 저감용 헬름홀츠 공명기 설계: 추가 관계식과 실험

  • 류호경 (아주대학교 기계공학과) ;
  • 정성진 (삼성 메디슨, 시스템개발 Lab.) ;
  • 이진우 (아주대학교 기계공학과)
  • Received : 2014.01.08
  • Accepted : 2014.02.20
  • Published : 2014.04.01
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Abstract

An additional relationship equation is numerically obtained to increase the accuracy of the conventional equation for obtaining the resonant frequency of a resonator. Although the conventional equation is widely used in industry because of its simplicity, it does not provide enough information on the cavity or the neck of the resonator for noise reduction in a duct. Resonator designers have difficulty implementing resonator design owing to the uncertainty in geometry presented by the well-known formula for determining the resonant frequency. To overcome this problem, this work determines an approximate equation using results of numerical calculation. To this end, shape parameters of the neck and cavity of a resonator are defined, and an equation describing the relationship between them is derived by adjusting the peak frequency in the transmission loss curve of a resonator to its resonant frequency. The application and validity of the derived equation are investigated in a numerical simulation and an acoustic experiment, respectively.

공명기의 공명주파수를 계산할 수 있는 전통적인 공식의 정확도를 높이기 위한 추가 관계식을 수치적인 방법으로 얻는다. 그 전통적인 공식은 단순함 때문에 산업계에서 널리 사용되고 있지만, 덕트 소음 저감용 공명기의 공동과 목에 대한 정보를 충분히 제공하지 못한다. 그러므로, 산업 현장에서는 그 공식이 갖는 형상의 불확실성 때문에 실제 공명기 설계에 많은 어려움을 겪고 있다. 이 단점을 극복하기 위해서, 본 연구에서는 수치 계산 결과를 이용하여 추가 근사식을 유도하고자 한다. 이를 위해, 목과 공동의 형상 계수를 정의하고, 공명기의 투과 손실 곡선 상의 피크 주파수와 계산식의 공명 주파수가 일치해야 한다는 조건을 사용하여 형상 계수들 사이의 관계식을 유도하였다. 유도된 관계식의 유효성을 수치적인 방법과 실험적인 방법으로 검증하였다.

Keywords

References

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