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    Free Out-of-Plane Vibration of a Ring Elastically Supported at Several Points

    Source: Journal of Applied Mechanics:;1982:;volume( 049 ):;issue: 004::page 854
    Author:
    T. Irie
    ,
    G. Yamada
    ,
    H. Okada
    DOI: 10.1115/1.3162627
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An analysis is presented for the free out-of-plane vibration of a circular ring elastically supported against deflection, rotation, and torsion at several points located at equal angular intervals. The equations of out-of-plane vibration of the ring is expressed as a matrix differential equation by using the transfer matrix, the solution to which is conveniently given by infinite series. The vibrations arising in the ring are classified into several types, for each of which the natural frequencies and the mode shapes are calculated numerically up to higher modes.
    keyword(s): Vibration , Deflection , Equations , Frequency , Shapes , Rotation , Torsion AND Differential equations ,
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      Free Out-of-Plane Vibration of a Ring Elastically Supported at Several Points

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    contributor authorT. Irie
    contributor authorG. Yamada
    contributor authorH. Okada
    date accessioned2017-05-08T23:12:24Z
    date available2017-05-08T23:12:24Z
    date copyrightDecember, 1982
    date issued1982
    identifier issn0021-8936
    identifier otherJAMCAV-26208#854_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/95298
    description abstractAn analysis is presented for the free out-of-plane vibration of a circular ring elastically supported against deflection, rotation, and torsion at several points located at equal angular intervals. The equations of out-of-plane vibration of the ring is expressed as a matrix differential equation by using the transfer matrix, the solution to which is conveniently given by infinite series. The vibrations arising in the ring are classified into several types, for each of which the natural frequencies and the mode shapes are calculated numerically up to higher modes.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleFree Out-of-Plane Vibration of a Ring Elastically Supported at Several Points
    typeJournal Paper
    journal volume49
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3162627
    journal fristpage854
    journal lastpage860
    identifier eissn1528-9036
    keywordsVibration
    keywordsDeflection
    keywordsEquations
    keywordsFrequency
    keywordsShapes
    keywordsRotation
    keywordsTorsion AND Differential equations
    treeJournal of Applied Mechanics:;1982:;volume( 049 ):;issue: 004
    contenttypeFulltext
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