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    Application of Multiple Scale Analysis on the Parametric Resonance of Continuous Gyroscopic Systems

    Source: Journal of Vibration and Acoustics:;1998:;volume( 120 ):;issue: 001::page 303
    Author:
    Jen-San Chen
    ,
    Yu-Ran Lin
    DOI: 10.1115/1.2893822
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Nayfeh and Mook (1977) presented a multiple scale analysis on the parametric resonance of a non-gyroscopic system with multiple degrees of freedom. This Note extends their method to the case of continuous gyroscopic systems Orthogonality properties among the eigenfunctions of the unloaded system in the complex state space are used to discretize the equation of motion into a set of first order differential equations. Multiple scale method is then employed to study the parametric resonance of the loaded system up to the second order perturbation. A spinning Rayleigh beam under pulsating axial load is studied as an example.
    keyword(s): Resonance , Stress , Spin (Aerodynamics) , Equations of motion , Eigenfunctions , Degrees of freedom AND Differential equations ,
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      Application of Multiple Scale Analysis on the Parametric Resonance of Continuous Gyroscopic Systems

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/121530
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    • Journal of Vibration and Acoustics

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    contributor authorJen-San Chen
    contributor authorYu-Ran Lin
    date accessioned2017-05-08T23:58:33Z
    date available2017-05-08T23:58:33Z
    date copyrightJanuary, 1998
    date issued1998
    identifier issn1048-9002
    identifier otherJVACEK-28842#303_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/121530
    description abstractNayfeh and Mook (1977) presented a multiple scale analysis on the parametric resonance of a non-gyroscopic system with multiple degrees of freedom. This Note extends their method to the case of continuous gyroscopic systems Orthogonality properties among the eigenfunctions of the unloaded system in the complex state space are used to discretize the equation of motion into a set of first order differential equations. Multiple scale method is then employed to study the parametric resonance of the loaded system up to the second order perturbation. A spinning Rayleigh beam under pulsating axial load is studied as an example.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleApplication of Multiple Scale Analysis on the Parametric Resonance of Continuous Gyroscopic Systems
    typeJournal Paper
    journal volume120
    journal issue1
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2893822
    journal fristpage303
    journal lastpage305
    identifier eissn1528-8927
    keywordsResonance
    keywordsStress
    keywordsSpin (Aerodynamics)
    keywordsEquations of motion
    keywordsEigenfunctions
    keywordsDegrees of freedom AND Differential equations
    treeJournal of Vibration and Acoustics:;1998:;volume( 120 ):;issue: 001
    contenttypeFulltext
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