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    Analysis of the Primary and Secondary Resonances of Viscoelastic Beams Made of Zener Material

    Source: Journal of Computational and Nonlinear Dynamics:;2019:;volume( 014 ):;issue: 009::page 91003
    Author:
    Wielentejczyk, Przemysław
    ,
    Lewandowski, Roman
    DOI: 10.1115/1.4044096
    Publisher: American Society of Mechanical Engineers (ASME)
    Abstract: The problem of geometrically nonlinear, steady-state vibrations of beams made of viscoelastic (VE) materials is considered in this paper. The Euler–Bernoulli and the von Kármán theories are used to describe the dynamic behavior of beams. The VE material of the beams is modeled using the Zener model. Two harmonics are present in the assumed steady-state solution of the problem at hand, which enables an analysis of both the primary and secondary resonances. The virtual work equation and the harmonic balance method are used to derive the amplitude equations in the explicit form. The response curves are determined using the continuation method and treating the frequency of excitation as the main parameter. The results of several examples, which illustrate the dynamic behavior of the considered beams, are presented and discussed.
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      Analysis of the Primary and Secondary Resonances of Viscoelastic Beams Made of Zener Material

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    https://yetl.yabesh.ir/yetl1/handle/yetl/4258300
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    contributor authorWielentejczyk, Przemysław
    contributor authorLewandowski, Roman
    date accessioned2019-09-18T09:03:12Z
    date available2019-09-18T09:03:12Z
    date copyright7/15/2019 12:00:00 AM
    date issued2019
    identifier issn1555-1415
    identifier othercnd_014_09_091003
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4258300
    description abstractThe problem of geometrically nonlinear, steady-state vibrations of beams made of viscoelastic (VE) materials is considered in this paper. The Euler–Bernoulli and the von Kármán theories are used to describe the dynamic behavior of beams. The VE material of the beams is modeled using the Zener model. Two harmonics are present in the assumed steady-state solution of the problem at hand, which enables an analysis of both the primary and secondary resonances. The virtual work equation and the harmonic balance method are used to derive the amplitude equations in the explicit form. The response curves are determined using the continuation method and treating the frequency of excitation as the main parameter. The results of several examples, which illustrate the dynamic behavior of the considered beams, are presented and discussed.
    publisherAmerican Society of Mechanical Engineers (ASME)
    titleAnalysis of the Primary and Secondary Resonances of Viscoelastic Beams Made of Zener Material
    typeJournal Paper
    journal volume14
    journal issue9
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.4044096
    journal fristpage91003
    journal lastpage091003-17
    treeJournal of Computational and Nonlinear Dynamics:;2019:;volume( 014 ):;issue: 009
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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