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    Critical Spin Rate of Rotating Beams by Liapunov’s Direct Method

    Source: Journal of Vibration and Acoustics:;1986:;volume( 108 ):;issue: 004::page 389
    Author:
    D. C. Kammer
    ,
    A. L. Schlack
    DOI: 10.1115/1.3269360
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The in-plane and out-of-plane buckling of a beam subjected to axial loads due to steady rotation are investigated for various boundary conditions. The critical spin rate which will cause the beam to buckle is derived as a function of system parameters using Liapunov’s direct method. A significant advantage is offered by this method in that the equations of motion do not have to be solved in order to determine stability. Results are compared with those found in the literature.
    keyword(s): Particle spin , Rotating beams , Boundary-value problems , Buckling , Stability , Stress AND Equations of motion ,
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      Critical Spin Rate of Rotating Beams by Liapunov’s Direct Method

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    contributor authorD. C. Kammer
    contributor authorA. L. Schlack
    date accessioned2017-05-08T23:23:45Z
    date available2017-05-08T23:23:45Z
    date copyrightOctober, 1986
    date issued1986
    identifier issn1048-9002
    identifier otherJVACEK-28971#389_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/101877
    description abstractThe in-plane and out-of-plane buckling of a beam subjected to axial loads due to steady rotation are investigated for various boundary conditions. The critical spin rate which will cause the beam to buckle is derived as a function of system parameters using Liapunov’s direct method. A significant advantage is offered by this method in that the equations of motion do not have to be solved in order to determine stability. Results are compared with those found in the literature.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleCritical Spin Rate of Rotating Beams by Liapunov’s Direct Method
    typeJournal Paper
    journal volume108
    journal issue4
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.3269360
    journal fristpage389
    journal lastpage393
    identifier eissn1528-8927
    keywordsParticle spin
    keywordsRotating beams
    keywordsBoundary-value problems
    keywordsBuckling
    keywordsStability
    keywordsStress AND Equations of motion
    treeJournal of Vibration and Acoustics:;1986:;volume( 108 ):;issue: 004
    contenttypeFulltext
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