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    Closed-Form Solutions and the Eigenvalue Problem for Vibration of Discrete Viscoelastic Systems

    Source: Journal of Applied Mechanics:;1997:;volume( 064 ):;issue: 003::page 684
    Author:
    A. Muravyov
    ,
    S. G. Hutton
    DOI: 10.1115/1.2788947
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A procedure for obtaining closed-form homogeneous solutions for the problem of vibration of a discrete viscoelastic system is developed for the case where the relaxation kernel characterizing the constitutive relation of the material is expressible as a sum of exponentials. The developed procedure involves the formulation of an eigenvalue problem and avoids difficulties encountered with the application of the Laplace transform approach to multi-degree-of-freedom viscoelastic systems. Analytical results computed by using the developed method are demonstrated on an example of a viscoelastic beam.
    keyword(s): Vibration , Eigenvalues , Laplace transforms AND Relaxation (Physics) ,
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      Closed-Form Solutions and the Eigenvalue Problem for Vibration of Discrete Viscoelastic Systems

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/118183
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    • Journal of Applied Mechanics

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    contributor authorA. Muravyov
    contributor authorS. G. Hutton
    date accessioned2017-05-08T23:52:32Z
    date available2017-05-08T23:52:32Z
    date copyrightSeptember, 1997
    date issued1997
    identifier issn0021-8936
    identifier otherJAMCAV-26419#684_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/118183
    description abstractA procedure for obtaining closed-form homogeneous solutions for the problem of vibration of a discrete viscoelastic system is developed for the case where the relaxation kernel characterizing the constitutive relation of the material is expressible as a sum of exponentials. The developed procedure involves the formulation of an eigenvalue problem and avoids difficulties encountered with the application of the Laplace transform approach to multi-degree-of-freedom viscoelastic systems. Analytical results computed by using the developed method are demonstrated on an example of a viscoelastic beam.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleClosed-Form Solutions and the Eigenvalue Problem for Vibration of Discrete Viscoelastic Systems
    typeJournal Paper
    journal volume64
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2788947
    journal fristpage684
    journal lastpage691
    identifier eissn1528-9036
    keywordsVibration
    keywordsEigenvalues
    keywordsLaplace transforms AND Relaxation (Physics)
    treeJournal of Applied Mechanics:;1997:;volume( 064 ):;issue: 003
    contenttypeFulltext
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