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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Format: | Article |
Language: | English |
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Marcílio Alves
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Series: | Latin American Journal of Solids and Structures |
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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. |
first_indexed | 2024-12-20T03:07:33Z |
format | Article |
id | doaj.art-0b6c6593e82c4ca9bb0c14aee3b57bd5 |
institution | Directory Open Access Journal |
issn | 1679-7825 |
language | English |
last_indexed | 2024-12-20T03:07:33Z |
publisher | Marcílio Alves |
record_format | Article |
series | Latin American Journal of Solids and Structures |
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 |
work_keys_str_mv | AT jawrejcewicz chaoticsynchronizationofvibrationsofacoupledmechanicalsystemconsistingofaplateandbeams AT avkrysko chaoticsynchronizationofvibrationsofacoupledmechanicalsystemconsistingofaplateandbeams AT tvyakovleva chaoticsynchronizationofvibrationsofacoupledmechanicalsystemconsistingofaplateandbeams AT dszelenchuk chaoticsynchronizationofvibrationsofacoupledmechanicalsystemconsistingofaplateandbeams AT vakrysko chaoticsynchronizationofvibrationsofacoupledmechanicalsystemconsistingofaplateandbeams |