Homogenization of the vibro-acoustic transmission on periodically perforated elastic plates with arrays of resonators

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F22%3A43965348" target="_blank" >RIV/49777513:23520/22:43965348 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.apm.2022.05.040" target="_blank" >https://doi.org/10.1016/j.apm.2022.05.040</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.apm.2022.05.040" target="_blank" >10.1016/j.apm.2022.05.040</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Homogenization of the vibro-acoustic transmission on periodically perforated elastic plates with arrays of resonators

Popis výsledku v původním jazyce

The paper is devoted to the homogenization of the vibroacoustic fluid-structure interaction problem in a layer which consists of a perforated plate and a surrounding acoustic fluid. As the major novelty of the problem, we consider a plate with metamaterial properties due to embedded arrays of soft elastic inclusions serving for resonators. Such structures enable to suppress the acoustic transmission for selected frequency bands. Asymptotic analysis with respect to the layer thickness, proportional to the Reissner-Mindlin plate thickness and to the perforation period, yields a model of the homogenized metasurface. An efficient method is proposed for computing frequency-dependent effective parameters involved in the homogenized model of the layer. The derived model of the layer is intended to serve transmission conditions of the homogenized interface associated with the plate separating two fluid-filled subdomains in the global problem of the acoustic wave propagation. This model application as the homogenized interface allows for a significant reduction of the computational model. Numerical illustrations are presented.

Název v anglickém jazyce

Homogenization of the vibro-acoustic transmission on periodically perforated elastic plates with arrays of resonators

Popis výsledku anglicky

The paper is devoted to the homogenization of the vibroacoustic fluid-structure interaction problem in a layer which consists of a perforated plate and a surrounding acoustic fluid. As the major novelty of the problem, we consider a plate with metamaterial properties due to embedded arrays of soft elastic inclusions serving for resonators. Such structures enable to suppress the acoustic transmission for selected frequency bands. Asymptotic analysis with respect to the layer thickness, proportional to the Reissner-Mindlin plate thickness and to the perforation period, yields a model of the homogenized metasurface. An efficient method is proposed for computing frequency-dependent effective parameters involved in the homogenized model of the layer. The derived model of the layer is intended to serve transmission conditions of the homogenized interface associated with the plate separating two fluid-filled subdomains in the global problem of the acoustic wave propagation. This model application as the homogenized interface allows for a significant reduction of the computational model. Numerical illustrations are presented.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Applied Mathematical Modelling

ISSN

0307-904X

e-ISSN

1872-8480

Svazek periodika

111

Číslo periodika v rámci svazku

November

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

27

Strana od-do

201-227

Kód UT WoS článku

000827337900010

EID výsledku v databázi Scopus

2-s2.0-85133271619