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    The Biot Model and Its Application in Viscoelastic Composite Structures

    Source: Journal of Vibration and Acoustics:;2007:;volume( 129 ):;issue: 005::page 533
    Author:
    J. Zhang
    ,
    G. T. Zheng
    DOI: 10.1115/1.2731408
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Application of viscoelastic materials in vibration and noise attenuation of complicated machines and structures is becoming more and more popular. As a result, analytical and numerical techniques for viscoelastic composite structures have received a great deal of attention among researchers in recent years. Development of a mathematical model that can accurately describe the dynamic behavior of viscoelastic materials is an important topic of the research. This paper investigates the procedure of applying the Biot model to describe the dynamic behavior of viscoelastic materials. As a minioscillator model, the Biot model not only possesses the capability of its counterpart, the GHM (Golla-Hughes-McTavish) model, but also has a simpler form. Furthermore, by removing zero eigenvalues, the Biot model can provide a smaller-scale mathematical model than the GHM model. This procedure of dimension reduction is studied in detail here. An optimization method for determining the parameters of the Biot model is also investigated. With numerical examples, these merits, the computational efficiency, and the accuracy of the Biot model are illustrated and proved.
    keyword(s): Composite materials , Dimensions , Viscoelastic materials , Eigenvalues , Equations , Springs AND Damping ,
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      The Biot Model and Its Application in Viscoelastic Composite Structures

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    http://yetl.yabesh.ir/yetl1/handle/yetl/137091
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    contributor authorJ. Zhang
    contributor authorG. T. Zheng
    date accessioned2017-05-09T00:26:19Z
    date available2017-05-09T00:26:19Z
    date copyrightOctober, 2007
    date issued2007
    identifier issn1048-9002
    identifier otherJVACEK-28888#533_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/137091
    description abstractApplication of viscoelastic materials in vibration and noise attenuation of complicated machines and structures is becoming more and more popular. As a result, analytical and numerical techniques for viscoelastic composite structures have received a great deal of attention among researchers in recent years. Development of a mathematical model that can accurately describe the dynamic behavior of viscoelastic materials is an important topic of the research. This paper investigates the procedure of applying the Biot model to describe the dynamic behavior of viscoelastic materials. As a minioscillator model, the Biot model not only possesses the capability of its counterpart, the GHM (Golla-Hughes-McTavish) model, but also has a simpler form. Furthermore, by removing zero eigenvalues, the Biot model can provide a smaller-scale mathematical model than the GHM model. This procedure of dimension reduction is studied in detail here. An optimization method for determining the parameters of the Biot model is also investigated. With numerical examples, these merits, the computational efficiency, and the accuracy of the Biot model are illustrated and proved.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThe Biot Model and Its Application in Viscoelastic Composite Structures
    typeJournal Paper
    journal volume129
    journal issue5
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2731408
    journal fristpage533
    journal lastpage540
    identifier eissn1528-8927
    keywordsComposite materials
    keywordsDimensions
    keywordsViscoelastic materials
    keywordsEigenvalues
    keywordsEquations
    keywordsSprings AND Damping
    treeJournal of Vibration and Acoustics:;2007:;volume( 129 ):;issue: 005
    contenttypeFulltext
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