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    Vibration Analysis of Rotors Utilizing Implicit Directional Information of Complex Variable Descriptions

    Source: Journal of Vibration and Acoustics:;2002:;volume( 124 ):;issue: 003::page 340
    Author:
    C. Kessler
    ,
    J. Kim
    DOI: 10.1115/1.1467649
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A complex variable description of planar motion incorporates directivity as inherent information which is therefore very convenient in vibration analysis of rotors. This paper proposes to use the directional information explicitly when the equation of motion of a rotor is formulated in complex variables. It is shown that the free vibration solution to the equation of motion formulated as such can be defined as the directional natural mode because it describes not only the shape and frequency but also the direction of the free vibration response. The directional frequency response functions (dFRFs) that have been used recently are obtained as the solution to the forced vibration solution to the equation of motion. Symmetric and anti-symmetric motions of a geometrically symmetric rigid rotor are used as examples to explain these concepts and their practical significances. The proposed approach allows clear understanding and definitions of some unique characteristics of rotor vibrations, such as the forward and backward modes, and forward and backward critical speeds, which have been often used in confusing or incorrect ways.
    keyword(s): Motion , Rotors AND Equations of motion ,
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      Vibration Analysis of Rotors Utilizing Implicit Directional Information of Complex Variable Descriptions

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    http://yetl.yabesh.ir/yetl1/handle/yetl/127698
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    contributor authorC. Kessler
    contributor authorJ. Kim
    date accessioned2017-05-09T00:09:06Z
    date available2017-05-09T00:09:06Z
    date copyrightJuly, 2002
    date issued2002
    identifier issn1048-9002
    identifier otherJVACEK-28862#340_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/127698
    description abstractA complex variable description of planar motion incorporates directivity as inherent information which is therefore very convenient in vibration analysis of rotors. This paper proposes to use the directional information explicitly when the equation of motion of a rotor is formulated in complex variables. It is shown that the free vibration solution to the equation of motion formulated as such can be defined as the directional natural mode because it describes not only the shape and frequency but also the direction of the free vibration response. The directional frequency response functions (dFRFs) that have been used recently are obtained as the solution to the forced vibration solution to the equation of motion. Symmetric and anti-symmetric motions of a geometrically symmetric rigid rotor are used as examples to explain these concepts and their practical significances. The proposed approach allows clear understanding and definitions of some unique characteristics of rotor vibrations, such as the forward and backward modes, and forward and backward critical speeds, which have been often used in confusing or incorrect ways.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleVibration Analysis of Rotors Utilizing Implicit Directional Information of Complex Variable Descriptions
    typeJournal Paper
    journal volume124
    journal issue3
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.1467649
    journal fristpage340
    journal lastpage349
    identifier eissn1528-8927
    keywordsMotion
    keywordsRotors AND Equations of motion
    treeJournal of Vibration and Acoustics:;2002:;volume( 124 ):;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
    yabeshDSpacePersian