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    Thickness Oscillations in Deformed Elastic Plate

    Source: Journal of Applied Mechanics:;1979:;volume( 046 ):;issue: 003::page 663
    Author:
    M. Hirao
    ,
    H. Fukuoka
    DOI: 10.1115/1.3424623
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The theory of elastic waves superposed on finite deformation is applied to the study of thickness oscillations in a deformed elastic plate. Perturbation scheme, based on multiple scales, is employed to obtain a set of governing equations for the amplitudes of transverse thickness oscillations which are perpendicularly polarized with each other. It is shown that such oscillations, being strongly coupled by the initial deformation, undergo slow and sinusoidal amplitude modulation and slight shift in the resonance frequencies. The results suggest new techniques of experimental stress analysis.
    keyword(s): Oscillations , Elastic plates , Thickness , Deformation , Elastic waves , Stress analysis (Engineering) , Resonance , Equations AND Frequency ,
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      Thickness Oscillations in Deformed Elastic Plate

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    contributor authorM. Hirao
    contributor authorH. Fukuoka
    date accessioned2017-05-08T23:06:02Z
    date available2017-05-08T23:06:02Z
    date copyrightSeptember, 1979
    date issued1979
    identifier issn0021-8936
    identifier otherJAMCAV-26125#663_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/91745
    description abstractThe theory of elastic waves superposed on finite deformation is applied to the study of thickness oscillations in a deformed elastic plate. Perturbation scheme, based on multiple scales, is employed to obtain a set of governing equations for the amplitudes of transverse thickness oscillations which are perpendicularly polarized with each other. It is shown that such oscillations, being strongly coupled by the initial deformation, undergo slow and sinusoidal amplitude modulation and slight shift in the resonance frequencies. The results suggest new techniques of experimental stress analysis.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThickness Oscillations in Deformed Elastic Plate
    typeJournal Paper
    journal volume46
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3424623
    journal fristpage663
    journal lastpage666
    identifier eissn1528-9036
    keywordsOscillations
    keywordsElastic plates
    keywordsThickness
    keywordsDeformation
    keywordsElastic waves
    keywordsStress analysis (Engineering)
    keywordsResonance
    keywordsEquations AND Frequency
    treeJournal of Applied Mechanics:;1979:;volume( 046 ):;issue: 003
    contenttypeFulltext
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