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  • The paper deals with homogenized transmission conditions imposed on the interface plane separating two halfspaces occupied by the acoustic medium. The conditions are obtained as the two-scale homogenization limit of the standard acoustic problem imposed in the layer perforated by a sieve-like obstacle with periodic structure. Both the characteristic scale of the perforations and the layer thickness are described by a small parameter. The limit model involving some homogenized coefficients governs the interface discontinuity of the acoustic pressure associated with the two halfspaces and the magnitude of the transverse acoustic velocity. This novel approach allows for treatment of complicated designs of perforations and presents an alternative to the usual description of the acoustic impedance, which relies on a rough averaging the quasi-experimental data.
  • The paper deals with homogenized transmission conditions imposed on the interface plane separating two halfspaces occupied by the acoustic medium. The conditions are obtained as the two-scale homogenization limit of the standard acoustic problem imposed in the layer perforated by a sieve-like obstacle with periodic structure. Both the characteristic scale of the perforations and the layer thickness are described by a small parameter. The limit model involving some homogenized coefficients governs the interface discontinuity of the acoustic pressure associated with the two halfspaces and the magnitude of the transverse acoustic velocity. This novel approach allows for treatment of complicated designs of perforations and presents an alternative to the usual description of the acoustic impedance, which relies on a rough averaging the quasi-experimental data. (en)
Title
  • Homogenization of the acoustic transmission through perforated layer
  • Homogenization of the acoustic transmission through perforated layer (en)
skos:prefLabel
  • Homogenization of the acoustic transmission through perforated layer
  • Homogenization of the acoustic transmission through perforated layer (en)
skos:notation
  • RIV/49777513:23520/10:00503312!RIV11-GA0-23520___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA101/07/1471), Z(MSM4977751301)
http://linked.open...iv/cisloPeriodika
  • 6
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 262071
http://linked.open...ai/riv/idVysledku
  • RIV/49777513:23520/10:00503312
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Acoustic transmission; perforated duct; two scale homogenization; homogenized impedance (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • NL - Nizozemsko
http://linked.open...ontrolniKodProRIV
  • [25A7DA65AECE]
http://linked.open...i/riv/nazevZdroje
  • Journal of Computational and Applied Mathematics
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 234
http://linked.open...iv/tvurceVysledku
  • Lukeš, Vladimír
  • Rohan, Eduard
http://linked.open...n/vavai/riv/zamer
issn
  • 0377-0427
number of pages
http://localhost/t...ganizacniJednotka
  • 23520
is http://linked.open...avai/riv/vysledek of
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