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    Incremental Harmonic Balance Method With Multiple Time Scales for Aperiodic Vibration of Nonlinear Systems

    Source: Journal of Applied Mechanics:;1983:;volume( 050 ):;issue: 4a::page 871
    Author:
    S. L. Lau
    ,
    Y. K. Cheung
    ,
    S. Y. Wu
    DOI: 10.1115/1.3167160
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An incremental harmonic balance method with multiple time scales is presented in this paper. As a general and systematic computer method, it is capable of treating aperiodic “steady-state” vibrations such as combination resonance, etc. Moreover, this method is not subjected to the limitation of weak nonlinearity. To show the essential features of the new approach, the almost periodic free vibration of a clamped-hinged beam is computed as an example.
    keyword(s): Nonlinear systems , Vibration , Computers , Free vibrations , Steady state AND Resonance ,
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      Incremental Harmonic Balance Method With Multiple Time Scales for Aperiodic Vibration of Nonlinear Systems

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    http://yetl.yabesh.ir/yetl1/handle/yetl/96561
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    contributor authorS. L. Lau
    contributor authorY. K. Cheung
    contributor authorS. Y. Wu
    date accessioned2017-05-08T23:14:36Z
    date available2017-05-08T23:14:36Z
    date copyrightDecember, 1983
    date issued1983
    identifier issn0021-8936
    identifier otherJAMCAV-26226#871_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/96561
    description abstractAn incremental harmonic balance method with multiple time scales is presented in this paper. As a general and systematic computer method, it is capable of treating aperiodic “steady-state” vibrations such as combination resonance, etc. Moreover, this method is not subjected to the limitation of weak nonlinearity. To show the essential features of the new approach, the almost periodic free vibration of a clamped-hinged beam is computed as an example.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleIncremental Harmonic Balance Method With Multiple Time Scales for Aperiodic Vibration of Nonlinear Systems
    typeJournal Paper
    journal volume50
    journal issue4a
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3167160
    journal fristpage871
    journal lastpage876
    identifier eissn1528-9036
    keywordsNonlinear systems
    keywordsVibration
    keywordsComputers
    keywordsFree vibrations
    keywordsSteady state AND Resonance
    treeJournal of Applied Mechanics:;1983:;volume( 050 ):;issue: 4a
    contenttypeFulltext
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