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    Nonsimilar Normal Mode Vibrations of Nonlinear Systems Having Two Degrees of Freedom

    Source: Journal of Applied Mechanics:;1964:;volume( 031 ):;issue: 002::page 283
    Author:
    R. M. Rosenberg
    ,
    J. K. Kuo
    DOI: 10.1115/1.3629599
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: When a nonlinear system having several masses vibrates in normal modes, the time histories of the motion of these masses are, in general, different in wave shape (although in certain special nonlinear systems they differ at most in amplitude, but not in shape). When the wave shapes differ, the normal mode vibration is called nonsimilar. In this paper, nonsimilar normal mode vibrations are analyzed with respect to wave shape and stability. The systems considered are those lying close to systems having similar normal mode vibrations. An example is worked out in detail, and a comparison with an experimental study is reported.
    keyword(s): Degrees of freedom , Nonlinear systems , Vibration , Shapes , Waves , Stability AND Motion ,
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      Nonsimilar Normal Mode Vibrations of Nonlinear Systems Having Two Degrees of Freedom

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    contributor authorR. M. Rosenberg
    contributor authorJ. K. Kuo
    date accessioned2017-05-08T23:18:05Z
    date available2017-05-08T23:18:05Z
    date copyrightJune, 1964
    date issued1964
    identifier issn0021-8936
    identifier otherJAMCAV-25749#283_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/98546
    description abstractWhen a nonlinear system having several masses vibrates in normal modes, the time histories of the motion of these masses are, in general, different in wave shape (although in certain special nonlinear systems they differ at most in amplitude, but not in shape). When the wave shapes differ, the normal mode vibration is called nonsimilar. In this paper, nonsimilar normal mode vibrations are analyzed with respect to wave shape and stability. The systems considered are those lying close to systems having similar normal mode vibrations. An example is worked out in detail, and a comparison with an experimental study is reported.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNonsimilar Normal Mode Vibrations of Nonlinear Systems Having Two Degrees of Freedom
    typeJournal Paper
    journal volume31
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3629599
    journal fristpage283
    journal lastpage290
    identifier eissn1528-9036
    keywordsDegrees of freedom
    keywordsNonlinear systems
    keywordsVibration
    keywordsShapes
    keywordsWaves
    keywordsStability AND Motion
    treeJournal of Applied Mechanics:;1964:;volume( 031 ):;issue: 002
    contenttypeFulltext
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