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    Subharmonic and Quasi-Periodic Motions of an Eccentric Squeeze Film Damper-Mounted Rigid Rotor

    Source: Journal of Vibration and Acoustics:;1994:;volume( 116 ):;issue: 003::page 357
    Author:
    J. Y. Zhao
    ,
    I. W. Linnett
    ,
    L. J. McLean
    DOI: 10.1115/1.2930436
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: When a squeeze-film damper is operated eccentrically, the nonlinear damper forces are no longer radially symmetric and subharmonic and quasi-periodic vibrations may be excited by the rotor unbalance. In this study, the unbalance response of a rigid rotor, supported on an eccentric squeeze film damper, is first approximated by a harmonic series whose coefficients are determined by the collocation method, together with a nonlinear least-square regression. The stability of the resulting periodic solution is then examined using the Floquet transition matrix method. For sufficiently large values of the unbalance and the damper static radial misalignment, it is shown that the approximate harmonic motion loses its stability and bifurcates into a stable subharmonic motion and a quasi-periodic motion at speeds above twice the system critical speed. This analytical finding is verified by a numerical integration in forms of the Poincaré map, the rotor trajectory, the bifurcation diagram, and the power spectrum. It is suggested that stability analysis and numerical integration should always be incorporated into an approximate analytical method to achieve an adequate approximation. The results of this study show that the introduction of squeeze-film dampers may give rise to the undesirable nonsynchronous vibrations, which limits the maximum speed at which dampers should be used.
    keyword(s): Motion , Dampers , Rotors , Stability , Vibration , Approximation , Bifurcation , Poincare mapping , Spectra (Spectroscopy) , Harmonic motion , Trajectories (Physics) AND Force ,
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      Subharmonic and Quasi-Periodic Motions of an Eccentric Squeeze Film Damper-Mounted Rigid Rotor

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    http://yetl.yabesh.ir/yetl1/handle/yetl/114647
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    contributor authorJ. Y. Zhao
    contributor authorI. W. Linnett
    contributor authorL. J. McLean
    date accessioned2017-05-08T23:46:02Z
    date available2017-05-08T23:46:02Z
    date copyrightJuly, 1994
    date issued1994
    identifier issn1048-9002
    identifier otherJVACEK-28815#357_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/114647
    description abstractWhen a squeeze-film damper is operated eccentrically, the nonlinear damper forces are no longer radially symmetric and subharmonic and quasi-periodic vibrations may be excited by the rotor unbalance. In this study, the unbalance response of a rigid rotor, supported on an eccentric squeeze film damper, is first approximated by a harmonic series whose coefficients are determined by the collocation method, together with a nonlinear least-square regression. The stability of the resulting periodic solution is then examined using the Floquet transition matrix method. For sufficiently large values of the unbalance and the damper static radial misalignment, it is shown that the approximate harmonic motion loses its stability and bifurcates into a stable subharmonic motion and a quasi-periodic motion at speeds above twice the system critical speed. This analytical finding is verified by a numerical integration in forms of the Poincaré map, the rotor trajectory, the bifurcation diagram, and the power spectrum. It is suggested that stability analysis and numerical integration should always be incorporated into an approximate analytical method to achieve an adequate approximation. The results of this study show that the introduction of squeeze-film dampers may give rise to the undesirable nonsynchronous vibrations, which limits the maximum speed at which dampers should be used.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleSubharmonic and Quasi-Periodic Motions of an Eccentric Squeeze Film Damper-Mounted Rigid Rotor
    typeJournal Paper
    journal volume116
    journal issue3
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2930436
    journal fristpage357
    journal lastpage363
    identifier eissn1528-8927
    keywordsMotion
    keywordsDampers
    keywordsRotors
    keywordsStability
    keywordsVibration
    keywordsApproximation
    keywordsBifurcation
    keywordsPoincare mapping
    keywordsSpectra (Spectroscopy)
    keywordsHarmonic motion
    keywordsTrajectories (Physics) AND Force
    treeJournal of Vibration and Acoustics:;1994:;volume( 116 ):;issue: 003
    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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