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    On the Stability of Gyroscopic Systems

    Source: Journal of Applied Mechanics:;1998:;volume( 065 ):;issue: 002::page 519
    Author:
    P. Lancaster
    ,
    P. Zizler
    DOI: 10.1115/1.2789085
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Gyroscopic systems considered here have the form Aÿ + Gẏ + Ky = 0 where A, G, K are real n × n matrices with A > O, GT = −G, KT = K, and the stiffness matrix K has some negative eigenvalues; i.e., the equilibrium position is unstable (when G = 0). A new necessary condition for stability is established. It is also shown that gyroscopic systems with K < 0 and G singular are always unstable for G sufficiently large.
    keyword(s): Stability , Equilibrium (Physics) , Eigenvalues AND Stiffness ,
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      On the Stability of Gyroscopic Systems

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    contributor authorP. Lancaster
    contributor authorP. Zizler
    date accessioned2017-05-08T23:55:44Z
    date available2017-05-08T23:55:44Z
    date copyrightJune, 1998
    date issued1998
    identifier issn0021-8936
    identifier otherJAMCAV-26443#519_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/119957
    description abstractGyroscopic systems considered here have the form Aÿ + Gẏ + Ky = 0 where A, G, K are real n × n matrices with A > O, GT = −G, KT = K, and the stiffness matrix K has some negative eigenvalues; i.e., the equilibrium position is unstable (when G = 0). A new necessary condition for stability is established. It is also shown that gyroscopic systems with K < 0 and G singular are always unstable for G sufficiently large.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn the Stability of Gyroscopic Systems
    typeJournal Paper
    journal volume65
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2789085
    journal fristpage519
    journal lastpage522
    identifier eissn1528-9036
    keywordsStability
    keywordsEquilibrium (Physics)
    keywordsEigenvalues AND Stiffness
    treeJournal of Applied Mechanics:;1998:;volume( 065 ):;issue: 002
    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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