Modelling of evanescent and propagating modes in homogenized phononic structures in frequency and time domains

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F17%3A43933060" target="_blank" >RIV/49777513:23520/17:43933060 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.eccomasproceedia.org/conferences/thematic-conferences/compdyn-2017/5496" target="_blank" >https://www.eccomasproceedia.org/conferences/thematic-conferences/compdyn-2017/5496</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.7712/120117.5496.18256" target="_blank" >10.7712/120117.5496.18256</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Modelling of evanescent and propagating modes in homogenized phononic structures in frequency and time domains

Popis výsledku v původním jazyce

In the paper we deal with analytical and numerical methods for modelling phononic elastic structures subject to harmonic loading. The band gap prediction is based on the analysis of eigenvalues of the effective mass coefficients for a given frequency. Using a spectral decomposition method, the propagating and the evanescent modes can be distinguished in the frequency domain. We also developed a numerical scheme to simulate the wave response of the phononic 3D structures and plates, or beams in the time domain. Using the backward Laplace transformation, we obtain a model involving the intertia effects in terms of time convolutions, where the homogenized mass tensor serves as the convolution kernel. The aim of the reported modelling is to understand behaviour of the phononic structures subject to incident waves of frequencies falling in the partial (so-called weak) band gap intervals in which waves of certain polarizations cannot propagate. We discuss the issues related to the time-space discretization. Numerical examples of how homogenized phononic structures respond to a harmonic loading are presented.

Název v anglickém jazyce

Modelling of evanescent and propagating modes in homogenized phononic structures in frequency and time domains

Popis výsledku anglicky

In the paper we deal with analytical and numerical methods for modelling phononic elastic structures subject to harmonic loading. The band gap prediction is based on the analysis of eigenvalues of the effective mass coefficients for a given frequency. Using a spectral decomposition method, the propagating and the evanescent modes can be distinguished in the frequency domain. We also developed a numerical scheme to simulate the wave response of the phononic 3D structures and plates, or beams in the time domain. Using the backward Laplace transformation, we obtain a model involving the intertia effects in terms of time convolutions, where the homogenized mass tensor serves as the convolution kernel. The aim of the reported modelling is to understand behaviour of the phononic structures subject to incident waves of frequencies falling in the partial (so-called weak) band gap intervals in which waves of certain polarizations cannot propagate. We discuss the issues related to the time-space discretization. Numerical examples of how homogenized phononic structures respond to a harmonic loading are presented.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10307 - Acoustics

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

2017

Kód důvěrnosti údajů

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

Název statě ve sborníku

COMPDYN 2017 - Proceedings of the 6th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering

ISBN

978-618-82844-1-8

ISSN

—

e-ISSN

neuvedeno

Počet stran výsledku

17

Strana od-do

1330-1346

Název nakladatele

National Technical University of Athens

Místo vydání

Athens

Místo konání akce

Rhodes Island, Řecko

Datum konání akce

15. 6. 2017

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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