Chaotic synchronization of vibrations of a coupled mechanical system consisting of a plate and beams

In this paper mathematical model of a mechanical system consisting of a plate and either one or two beams is derived. Obtained PDEs are reduced to ODEs, and then studied mainly using the fast Fourier and wavelet transforms. A few examples of the chaotic synchronizations are illustrated and discussed...

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Main Authors: J. Awrejcewicz, A.V. Krysko, T.V. Yakovleva, D.S. Zelenchuk, V.A. Krysko
Format: Article
Language:English
Published: Marcílio Alves
Series:Latin American Journal of Solids and Structures
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000100016&lng=en&tlng=en
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author J. Awrejcewicz
A.V. Krysko
T.V. Yakovleva
D.S. Zelenchuk
V.A. Krysko
author_facet J. Awrejcewicz
A.V. Krysko
T.V. Yakovleva
D.S. Zelenchuk
V.A. Krysko
author_sort J. Awrejcewicz
collection DOAJ
description In this paper mathematical model of a mechanical system consisting of a plate and either one or two beams is derived. Obtained PDEs are reduced to ODEs, and then studied mainly using the fast Fourier and wavelet transforms. A few examples of the chaotic synchronizations are illustrated and discussed.
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publisher Marcílio Alves
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spelling doaj.art-0b6c6593e82c4ca9bb0c14aee3b57bd52022-12-21T19:55:33ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-782510116317410.1590/S1679-78252013000100016S1679-78252013000100016Chaotic synchronization of vibrations of a coupled mechanical system consisting of a plate and beamsJ. Awrejcewicz0A.V. Krysko1T.V. YakovlevaD.S. Zelenchuk2V.A. Krysko3Lodz University of TechnologySaratov State Technical UniversitySaratov State Technical UniversityLodz University of TechnologyIn this paper mathematical model of a mechanical system consisting of a plate and either one or two beams is derived. Obtained PDEs are reduced to ODEs, and then studied mainly using the fast Fourier and wavelet transforms. A few examples of the chaotic synchronizations are illustrated and discussed.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000100016&lng=en&tlng=enchaossynchronizationplatebeamwavelets
spellingShingle J. Awrejcewicz
A.V. Krysko
T.V. Yakovleva
D.S. Zelenchuk
V.A. Krysko
Chaotic synchronization of vibrations of a coupled mechanical system consisting of a plate and beams
Latin American Journal of Solids and Structures
chaos
synchronization
plate
beam
wavelets
title Chaotic synchronization of vibrations of a coupled mechanical system consisting of a plate and beams
title_full Chaotic synchronization of vibrations of a coupled mechanical system consisting of a plate and beams
title_fullStr Chaotic synchronization of vibrations of a coupled mechanical system consisting of a plate and beams
title_full_unstemmed Chaotic synchronization of vibrations of a coupled mechanical system consisting of a plate and beams
title_short Chaotic synchronization of vibrations of a coupled mechanical system consisting of a plate and beams
title_sort chaotic synchronization of vibrations of a coupled mechanical system consisting of a plate and beams
topic chaos
synchronization
plate
beam
wavelets
url http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000100016&lng=en&tlng=en
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AT avkrysko chaoticsynchronizationofvibrationsofacoupledmechanicalsystemconsistingofaplateandbeams
AT tvyakovleva chaoticsynchronizationofvibrationsofacoupledmechanicalsystemconsistingofaplateandbeams
AT dszelenchuk chaoticsynchronizationofvibrationsofacoupledmechanicalsystemconsistingofaplateandbeams
AT vakrysko chaoticsynchronizationofvibrationsofacoupledmechanicalsystemconsistingofaplateandbeams