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    Dynamic Stability of Elastic Rotor-Bearing Systems via Liapunov’s Direct Method

    Source: Journal of Applied Mechanics:;1991:;volume( 058 ):;issue: 004::page 1056
    Author:
    Abd Alla El-Marhomy
    ,
    A. L. Schlack
    DOI: 10.1115/1.2897682
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A general method of analysis based on Liapunov’s direct method is presented for studying the dynamic stability of elastic rotor-bearing systems. A model comprised of a continuous elastic shaft mounted on two 8-coefficient bearings is used to develop closed-form (series) stability criteria involving system stiffness and damping parameters. It is quantitatively shown by means of graphs how the instability regions are reduced by (a) increasing the shaft dimensionless stiffness parameters, (b) increasing the bearing direct stiffness and damping parameters, and (c) decreasing the bearing cross-coupling stiffness and damping parameters.
    keyword(s): Bearings , Rotors , Dynamic stability , Stiffness , Damping AND Stability ,
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      Dynamic Stability of Elastic Rotor-Bearing Systems via Liapunov’s Direct Method

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/107953
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    contributor authorAbd Alla El-Marhomy
    contributor authorA. L. Schlack
    date accessioned2017-05-08T23:34:29Z
    date available2017-05-08T23:34:29Z
    date copyrightDecember, 1991
    date issued1991
    identifier issn0021-8936
    identifier otherJAMCAV-26335#1056_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/107953
    description abstractA general method of analysis based on Liapunov’s direct method is presented for studying the dynamic stability of elastic rotor-bearing systems. A model comprised of a continuous elastic shaft mounted on two 8-coefficient bearings is used to develop closed-form (series) stability criteria involving system stiffness and damping parameters. It is quantitatively shown by means of graphs how the instability regions are reduced by (a) increasing the shaft dimensionless stiffness parameters, (b) increasing the bearing direct stiffness and damping parameters, and (c) decreasing the bearing cross-coupling stiffness and damping parameters.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleDynamic Stability of Elastic Rotor-Bearing Systems via Liapunov’s Direct Method
    typeJournal Paper
    journal volume58
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2897682
    journal fristpage1056
    journal lastpage1063
    identifier eissn1528-9036
    keywordsBearings
    keywordsRotors
    keywordsDynamic stability
    keywordsStiffness
    keywordsDamping AND Stability
    treeJournal of Applied Mechanics:;1991:;volume( 058 ):;issue: 004
    contenttypeFulltext
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