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    An Improved Method for Calculating Critical Speeds and Rotordynamic Stability of Turbomachinery

    Source: Journal of Engineering for Gas Turbines and Power:;1983:;volume( 105 ):;issue: 003::page 591
    Author:
    B. T. Murphy
    ,
    J. M. Vance
    DOI: 10.1115/1.3227458
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A number of the computer programs for rotordynamic stability and critical speed prediction in common use during recent years have been based on the works of Myklestad, Prohl, and Lund. Programs of this type, called transfer matrix programs, employ complex variables when damping or cross-coupling are included in the model. Most use an iteration scheme which at times fails to converge with sufficient accuracy on some critical speeds, and has been known to completely miss critical speeds on occasion. It is shown in this paper that by rearranging the calculations performed in a transfer matrix program, one can derive the characteristic polynomial for a complex rotor-bearing system with no loss in generality. The modeling procedures are identical for the rotor and bearing/foundations, including the effects of gyroscopics, damping, and any or all destabilizing influences which are linearized in the usual manner. With the characteristic polynomial known, critical speeds can be estimated and stability predicted with greater efficiency and with no fear of missing any modes. Such a program has been written, and a complete comparison between the two types of programs is shown.
    keyword(s): Stability , Turbomachinery , Polynomials , Rotors , Bearings , Damping , Modeling AND Computer software ,
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      An Improved Method for Calculating Critical Speeds and Rotordynamic Stability of Turbomachinery

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/97072
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    • Journal of Engineering for Gas Turbines and Power

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    contributor authorB. T. Murphy
    contributor authorJ. M. Vance
    date accessioned2017-05-08T23:15:28Z
    date available2017-05-08T23:15:28Z
    date copyrightJuly, 1983
    date issued1983
    identifier issn1528-8919
    identifier otherJETPEZ-26783#591_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/97072
    description abstractA number of the computer programs for rotordynamic stability and critical speed prediction in common use during recent years have been based on the works of Myklestad, Prohl, and Lund. Programs of this type, called transfer matrix programs, employ complex variables when damping or cross-coupling are included in the model. Most use an iteration scheme which at times fails to converge with sufficient accuracy on some critical speeds, and has been known to completely miss critical speeds on occasion. It is shown in this paper that by rearranging the calculations performed in a transfer matrix program, one can derive the characteristic polynomial for a complex rotor-bearing system with no loss in generality. The modeling procedures are identical for the rotor and bearing/foundations, including the effects of gyroscopics, damping, and any or all destabilizing influences which are linearized in the usual manner. With the characteristic polynomial known, critical speeds can be estimated and stability predicted with greater efficiency and with no fear of missing any modes. Such a program has been written, and a complete comparison between the two types of programs is shown.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAn Improved Method for Calculating Critical Speeds and Rotordynamic Stability of Turbomachinery
    typeJournal Paper
    journal volume105
    journal issue3
    journal titleJournal of Engineering for Gas Turbines and Power
    identifier doi10.1115/1.3227458
    journal fristpage591
    journal lastpage595
    identifier eissn0742-4795
    keywordsStability
    keywordsTurbomachinery
    keywordsPolynomials
    keywordsRotors
    keywordsBearings
    keywordsDamping
    keywordsModeling AND Computer software
    treeJournal of Engineering for Gas Turbines and Power:;1983:;volume( 105 ):;issue: 003
    contenttypeFulltext
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