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    Modal Analysis of Nonviscously Damped Beams

    Source: Journal of Applied Mechanics:;2007:;volume( 074 ):;issue: 005::page 1026
    Author:
    S. Adhikari
    ,
    Y. Lei
    ,
    M. I. Friswell
    DOI: 10.1115/1.2712315
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Linear dynamics of Euler–Bernoulli beams with nonviscous nonlocal damping is considered. It is assumed that the damping force at a given point in the beam depends on the past history of velocities at different points via convolution integrals over exponentially decaying kernel functions. Conventional viscous and viscoelastic damping models can be obtained as special cases of this general damping model. The equation of motion of the beam with such a general damping model results in a linear partial integro-differential equation. Exact closed-form equations of the natural frequencies and mode shapes of the beam are derived. Numerical examples are provided to illustrate the new results.
    keyword(s): Equations of motion , Damping , Equations , Functions , Shapes , Eigenvalues , Force , Frequency AND Dynamics (Mechanics) ,
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      Modal Analysis of Nonviscously Damped Beams

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/135042
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    contributor authorS. Adhikari
    contributor authorY. Lei
    contributor authorM. I. Friswell
    date accessioned2017-05-09T00:22:22Z
    date available2017-05-09T00:22:22Z
    date copyrightSeptember, 2007
    date issued2007
    identifier issn0021-8936
    identifier otherJAMCAV-26656#1026_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/135042
    description abstractLinear dynamics of Euler–Bernoulli beams with nonviscous nonlocal damping is considered. It is assumed that the damping force at a given point in the beam depends on the past history of velocities at different points via convolution integrals over exponentially decaying kernel functions. Conventional viscous and viscoelastic damping models can be obtained as special cases of this general damping model. The equation of motion of the beam with such a general damping model results in a linear partial integro-differential equation. Exact closed-form equations of the natural frequencies and mode shapes of the beam are derived. Numerical examples are provided to illustrate the new results.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleModal Analysis of Nonviscously Damped Beams
    typeJournal Paper
    journal volume74
    journal issue5
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2712315
    journal fristpage1026
    journal lastpage1030
    identifier eissn1528-9036
    keywordsEquations of motion
    keywordsDamping
    keywordsEquations
    keywordsFunctions
    keywordsShapes
    keywordsEigenvalues
    keywordsForce
    keywordsFrequency AND Dynamics (Mechanics)
    treeJournal of Applied Mechanics:;2007:;volume( 074 ):;issue: 005
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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