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Sound transmission of multi-layered micro-perforated plates in a cylindrical impedance tube

원통형 임피던스 튜브 내 다중 미세천공 판의 음향투과

  • 김현실 (한국기계연구원 음향소음팀) ;
  • 마평식 (한국기계연구원 음향소음팀) ;
  • 김봉기 (한국기계연구원 음향소음팀) ;
  • 이성현 (한국기계연구원 음향소음팀) ;
  • 서윤호 (한국기계연구원 음향소음팀)
  • Received : 2020.05.11
  • Accepted : 2020.07.03
  • Published : 2020.07.31

Abstract

In this paper, sound transmission of Micro-Perforated Plates (MPPs) installed in an impedance tube with a circular cross-section is described using an analytic method. Vibration of the plates is expressed in terms of an infinite series of modal functions, where modal function in the radial direction is given by the Bessel function. Under the plane wave assumption, a low frequency approximation is derived, and a formula for the sound transmission coefficient of multi-layered MPPs is presented using the transfer matrix method. The Sound Transmission Losses (STLs) of single and double MPPs are computed using the proposed method and compared with those done by the Finite Element Method (FEM), which shows an excellent agreement. As the perforation increases, the STL is degraded, since the STL becomes dominated by the perforation ratio rather than by vibration of the plate. The STL shows dips at natural frequencies as well as at the mass-spring-mass resonance frequency. The proposed model for the STL prediction in this study can be applied to an arbitrary number of MPPs, where each MPP may or may not have a perforation.

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