Regular and Chaotic Dynamics of Flexible Plates
Nonlinear dynamics of flexible rectangular plates subjected to the action of longitudinal and time periodic load distributed on the plate perimeter is investigated. Applying both the classical Fourier and wavelet analysis we illustrate three different Feigenbaum type scenarios of transition from a r...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2014/937967 |
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| _version_ | 1850157899759747072 |
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| author | J. Awrejcewicz E. Yu. Krylova I.V. Papkova V. A. Krysko |
| author_facet | J. Awrejcewicz E. Yu. Krylova I.V. Papkova V. A. Krysko |
| author_sort | J. Awrejcewicz |
| collection | DOAJ |
| description | Nonlinear dynamics of flexible rectangular plates subjected to the action of longitudinal and time periodic load distributed on the plate perimeter is investigated. Applying both the classical Fourier and wavelet analysis we illustrate three different Feigenbaum type scenarios of transition from a regular to chaotic dynamics. We show that the system vibrations change with respect not only to the change of control parameters, but also to all fixed parameters (system dynamics changes when the independent variable, time, increases). In addition, we show that chaotic dynamics may appear also after the second Hopf bifurcation. Curves of equal deflections (isoclines) lose their previous symmetry while transiting into chaotic vibrations. |
| format | Article |
| id | doaj-art-67c6f85293134e2bbfc7196868c1929d |
| institution | OA Journals |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-67c6f85293134e2bbfc7196868c1929d2025-08-20T02:24:01ZengWileyShock and Vibration1070-96221875-92032014-01-01201410.1155/2014/937967937967Regular and Chaotic Dynamics of Flexible PlatesJ. Awrejcewicz0E. Yu. Krylova1I.V. Papkova2V. A. Krysko3Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowski Street, 90-924 Lodz, PolandDepartment of Mathematics and Modeling, Saratov State Technical University, Russian Federation, Politehnicheskaya 77, Saratov 410054, RussiaDepartment of Mathematics and Modeling, Saratov State Technical University, Russian Federation, Politehnicheskaya 77, Saratov 410054, RussiaDepartment of Mathematics and Modeling, Saratov State Technical University, Russian Federation, Politehnicheskaya 77, Saratov 410054, RussiaNonlinear dynamics of flexible rectangular plates subjected to the action of longitudinal and time periodic load distributed on the plate perimeter is investigated. Applying both the classical Fourier and wavelet analysis we illustrate three different Feigenbaum type scenarios of transition from a regular to chaotic dynamics. We show that the system vibrations change with respect not only to the change of control parameters, but also to all fixed parameters (system dynamics changes when the independent variable, time, increases). In addition, we show that chaotic dynamics may appear also after the second Hopf bifurcation. Curves of equal deflections (isoclines) lose their previous symmetry while transiting into chaotic vibrations.http://dx.doi.org/10.1155/2014/937967 |
| spellingShingle | J. Awrejcewicz E. Yu. Krylova I.V. Papkova V. A. Krysko Regular and Chaotic Dynamics of Flexible Plates Shock and Vibration |
| title | Regular and Chaotic Dynamics of Flexible Plates |
| title_full | Regular and Chaotic Dynamics of Flexible Plates |
| title_fullStr | Regular and Chaotic Dynamics of Flexible Plates |
| title_full_unstemmed | Regular and Chaotic Dynamics of Flexible Plates |
| title_short | Regular and Chaotic Dynamics of Flexible Plates |
| title_sort | regular and chaotic dynamics of flexible plates |
| url | http://dx.doi.org/10.1155/2014/937967 |
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