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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Modelling of evanescent and propagating modes in homogenized phononic structures in frequency and time domains
Original language description
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.
Czech name
—
Czech description
—

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
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
Number of pages
17
Pages from-to
1330-1346
Publisher name
National Technical University of Athens
Place of publication
Athens
Event location
Rhodes Island, Řecko
Event date
Jun 15, 2017
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
—

Similar results(10)