Shape sensitivity analysis for the optimal perforation problem in acoustic transmission

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F09%3A00501595" target="_blank" >RIV/49777513:23520/09:00501595 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Shape sensitivity analysis for the optimal perforation problem in acoustic transmission
Original language description
We consider the acoustic transmission through perforated interface separating two halfspaces occupied by the acoustic medium. Recently the homogenized transmission conditions were 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. The limit model involves homogenized impedance coecients depending on the so-called microscopic problems; these are imposed in the reference computational cell, Y embedding obstacle S the shape of which can be designed. We focus on the sensitivity of the homogenized coecients w.r.t. shape modication of the perforation represented by S; sensitivity formulas are reported and illustrated by numerical examples. This research will contribute to the complex tasks, such as minimization of the transmission loss computed in a domain embedding this perforated interface.
Czech name
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Czech description
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Project
<a href="/en/project/GA101%2F07%2F1471" target="_blank" >GA101/07/1471: Finite element modelling of linear, non-linear and multiscale effects in wave propagation in solids and heterogeneous media</a><br>
Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2009
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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