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    Analysis of the Nonlinear Dynamics of the Timoshenko Flexible Beams Using Wavelets

    Source: Journal of Computational and Nonlinear Dynamics:;2012:;volume( 007 ):;issue: 001::page 11005
    Author:
    J. Awrejcewicz
    ,
    A. V. Krysko
    ,
    V. Soldatov
    ,
    V. A. Krysko
    DOI: 10.1115/1.4004376
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Regular and chaotic dynamics of the flexible Timoshenko-type beams is studied using both the standard Fourier (FFT) and the continuous wavelet transform methods. The governing equations of motion for geometrically nonlinear Timoshenko-type beams are reduced to a system of ODEs using both finite element method (FEM) and finite difference method (FDM) to ensure the reliability of numerical results. Scenarios of transition from regular to chaotic vibrations and beam dynamical stability loss are analyzed. Advantages and disadvantages of various wavelet functions are discussed. Application of continuous wavelet transform to the investigation of transitional and chaotic phenomena in nonlinear dynamics is illustrated and discussed.
    keyword(s): Spectra (Spectroscopy) , Vibration , Wavelets AND Nonlinear dynamics ,
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      Analysis of the Nonlinear Dynamics of the Timoshenko Flexible Beams Using Wavelets

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    https://yetl.yabesh.ir/yetl1/handle/yetl/148365
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    contributor authorJ. Awrejcewicz
    contributor authorA. V. Krysko
    contributor authorV. Soldatov
    contributor authorV. A. Krysko
    date accessioned2017-05-09T00:48:49Z
    date available2017-05-09T00:48:49Z
    date copyrightJanuary, 2012
    date issued2012
    identifier issn1555-1415
    identifier otherJCNDDM-25798#011005_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/148365
    description abstractRegular and chaotic dynamics of the flexible Timoshenko-type beams is studied using both the standard Fourier (FFT) and the continuous wavelet transform methods. The governing equations of motion for geometrically nonlinear Timoshenko-type beams are reduced to a system of ODEs using both finite element method (FEM) and finite difference method (FDM) to ensure the reliability of numerical results. Scenarios of transition from regular to chaotic vibrations and beam dynamical stability loss are analyzed. Advantages and disadvantages of various wavelet functions are discussed. Application of continuous wavelet transform to the investigation of transitional and chaotic phenomena in nonlinear dynamics is illustrated and discussed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAnalysis of the Nonlinear Dynamics of the Timoshenko Flexible Beams Using Wavelets
    typeJournal Paper
    journal volume7
    journal issue1
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4004376
    journal fristpage11005
    identifier eissn1555-1423
    keywordsSpectra (Spectroscopy)
    keywordsVibration
    keywordsWavelets AND Nonlinear dynamics
    treeJournal of Computational and Nonlinear Dynamics:;2012:;volume( 007 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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