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    Dynamics of Gyroelastic Continua

    Source: Journal of Applied Mechanics:;1984:;volume( 051 ):;issue: 002::page 415
    Author:
    G. M. T. D’Eleuterio
    ,
    P. C. Hughes
    DOI: 10.1115/1.3167634
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper introduces the idea of distributed gyricity , in which each volume element of a continuum possesses an infinitesimal quantity of stored angular momentum. The continuum is also assumed to be linear-elastic. Using operator notation, a partial differential equation is derived that governs the small displacements of this gyroelastic continuum. Gyroelastic vibration modes are derived and used as basis functions in terms of which the general motion can be expressed. A discretized approximation is also developed using the method of Rayleigh-Ritz. The paper concludes with a numerical example of gyroelastic modes.
    keyword(s): Dynamics (Mechanics) , Motion , Angular momentum , Vibration , Approximation , Functions AND Partial differential equations ,
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      Dynamics of Gyroelastic Continua

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    contributor authorG. M. T. D’Eleuterio
    contributor authorP. C. Hughes
    date accessioned2017-05-08T23:17:08Z
    date available2017-05-08T23:17:08Z
    date copyrightJune, 1984
    date issued1984
    identifier issn0021-8936
    identifier otherJAMCAV-26236#415_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/98052
    description abstractThis paper introduces the idea of distributed gyricity , in which each volume element of a continuum possesses an infinitesimal quantity of stored angular momentum. The continuum is also assumed to be linear-elastic. Using operator notation, a partial differential equation is derived that governs the small displacements of this gyroelastic continuum. Gyroelastic vibration modes are derived and used as basis functions in terms of which the general motion can be expressed. A discretized approximation is also developed using the method of Rayleigh-Ritz. The paper concludes with a numerical example of gyroelastic modes.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleDynamics of Gyroelastic Continua
    typeJournal Paper
    journal volume51
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3167634
    journal fristpage415
    journal lastpage422
    identifier eissn1528-9036
    keywordsDynamics (Mechanics)
    keywordsMotion
    keywordsAngular momentum
    keywordsVibration
    keywordsApproximation
    keywordsFunctions AND Partial differential equations
    treeJournal of Applied Mechanics:;1984:;volume( 051 ):;issue: 002
    contenttypeFulltext
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