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    Linear Multi-Degree-of-Freedom System Stochastic Response by Using the Harmonic Wavelet Transform

    Source: Journal of Applied Mechanics:;2003:;volume( 070 ):;issue: 005::page 724
    Author:
    P. Tratskas
    ,
    P. D. Spanos
    ,
    L.B. Ryon Chair in Engineering
    DOI: 10.1115/1.1601252
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The wavelet transform is used to capture localized features in either the time domain or the frequency domain of the response of a multi-degree-of-freedom linear system subject to a nonstationary stochastic excitation. The family of the harmonic wavelets is used due to the convenient spectral characteristics of its basis functions. A wavelet-based system representation is derived by converting the system frequency response matrix into a time-frequency wavelet “tensor.” Excitation-response relationships are obtained for the wavelet-based representation which involve linear system theory, spectral representation of the excitation and of the response vectors, and the wavelet transfer tensor of the system. Numerical results demonstrate the usefulness of the developed analytical procedure.
    keyword(s): Wavelets , Wavelet transforms , Equations AND Frequency response ,
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      Linear Multi-Degree-of-Freedom System Stochastic Response by Using the Harmonic Wavelet Transform

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/127827
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    contributor authorP. Tratskas
    contributor authorP. D. Spanos
    contributor authorL.B. Ryon Chair in Engineering
    date accessioned2017-05-09T00:09:18Z
    date available2017-05-09T00:09:18Z
    date copyrightSeptember, 2003
    date issued2003
    identifier issn0021-8936
    identifier otherJAMCAV-26564#724_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/127827
    description abstractThe wavelet transform is used to capture localized features in either the time domain or the frequency domain of the response of a multi-degree-of-freedom linear system subject to a nonstationary stochastic excitation. The family of the harmonic wavelets is used due to the convenient spectral characteristics of its basis functions. A wavelet-based system representation is derived by converting the system frequency response matrix into a time-frequency wavelet “tensor.” Excitation-response relationships are obtained for the wavelet-based representation which involve linear system theory, spectral representation of the excitation and of the response vectors, and the wavelet transfer tensor of the system. Numerical results demonstrate the usefulness of the developed analytical procedure.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleLinear Multi-Degree-of-Freedom System Stochastic Response by Using the Harmonic Wavelet Transform
    typeJournal Paper
    journal volume70
    journal issue5
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.1601252
    journal fristpage724
    journal lastpage731
    identifier eissn1528-9036
    keywordsWavelets
    keywordsWavelet transforms
    keywordsEquations AND Frequency response
    treeJournal of Applied Mechanics:;2003:;volume( 070 ):;issue: 005
    contenttypeFulltext
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