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    Stability of Subharmonic Oscillations in Nonlinear Systems

    Source: Journal of Fluids Engineering:;1964:;volume( 086 ):;issue: 001::page 116
    Author:
    Rufus Oldenburger
    ,
    Robert E. Nicholls
    DOI: 10.1115/1.3653094
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper presents a method for finding necessary conditions such that a subharmonic oscillation may exist in certain types of nonlinear feedback systems. The method is applicable to feedback systems with one, instantaneous, nonmemory-type, nonlinear element. Equations are derived giving the fundamental output of a nonlinear element when forced by two sine waves of integer ratio frequency. Normal describing-function assumptions are made with regard to attenuation of higher-order harmonics. An example of a system incorporating a perfect relay is presented. The results of the analysis have been verified experimentally on the analog computer.
    keyword(s): Oscillations , Stability , Nonlinear systems , Feedback , Computers , Equations AND Waves ,
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      Stability of Subharmonic Oscillations in Nonlinear Systems

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    https://yetl.yabesh.ir/yetl1/handle/yetl/101868
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    contributor authorRufus Oldenburger
    contributor authorRobert E. Nicholls
    date accessioned2017-05-08T23:23:44Z
    date available2017-05-08T23:23:44Z
    date copyrightMarch, 1964
    date issued1964
    identifier issn0098-2202
    identifier otherJFEGA4-27253#116_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/101868
    description abstractThis paper presents a method for finding necessary conditions such that a subharmonic oscillation may exist in certain types of nonlinear feedback systems. The method is applicable to feedback systems with one, instantaneous, nonmemory-type, nonlinear element. Equations are derived giving the fundamental output of a nonlinear element when forced by two sine waves of integer ratio frequency. Normal describing-function assumptions are made with regard to attenuation of higher-order harmonics. An example of a system incorporating a perfect relay is presented. The results of the analysis have been verified experimentally on the analog computer.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleStability of Subharmonic Oscillations in Nonlinear Systems
    typeJournal Paper
    journal volume86
    journal issue1
    journal titleJournal of Fluids Engineering
    identifier doi10.1115/1.3653094
    journal fristpage116
    journal lastpage120
    identifier eissn1528-901X
    keywordsOscillations
    keywordsStability
    keywordsNonlinear systems
    keywordsFeedback
    keywordsComputers
    keywordsEquations AND Waves
    treeJournal of Fluids Engineering:;1964:;volume( 086 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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