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http://dx.doi.org/10.7776/ASK.2012.31.1.011

An Analysis of the Sound Stopband in Periodically Corrugated 2-D Ducts  

Kim, Hyun-Sil (한국기계연구원 음향소음팀)
Kim, Jae-Seung (한국기계연구원 음향소음팀)
Kim, Bong-Ki (한국기계연구원 음향소음팀)
Kim, Sang-Ryul (한국기계연구원 음향소음팀)
Lee, Seong-Hyun (한국기계연구원 음향소음팀)
Publication Information
The Journal of the Acoustical Society of Korea / v.31, no.1, 2012 , pp. 11-18 More about this Journal
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;
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