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  • 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.
  • 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. (en)
Title
  • Shape sensitivity analysis for the optimal perforation problem in acoustic transmission
  • Shape sensitivity analysis for the optimal perforation problem in acoustic transmission (en)
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  • Shape sensitivity analysis for the optimal perforation problem in acoustic transmission
  • Shape sensitivity analysis for the optimal perforation problem in acoustic transmission (en)
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  • RIV/49777513:23520/09:00501595!RIV10-MSM-23520___
http://linked.open...avai/riv/aktivita
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  • P(GA101/07/1471), Z(MSM4977751303)
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  • 341037
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  • RIV/49777513:23520/09:00501595
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  • linear acoustics; homogenization; transmission condition; sensitivity analysis (en)
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  • [85C0FB917D8F]
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  • Lisabon
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  • Lisboa
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  • WCSMO-8
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  • Lukeš, Vladimír
  • Rohan, Eduard
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  • APMTAC
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  • 978-989-20-1554-5
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  • 23520
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