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    Application of the Taylor Transform to Nonlinear Vibration Problems

    Source: Journal of Vibration and Acoustics:;1996:;volume( 118 ):;issue: 001::page 83
    Author:
    J. S. Chiou
    ,
    J. R. Tzeng
    DOI: 10.1115/1.2889639
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A new transformation technique called the Taylor transform is introduced in this study. A great advantage of the Taylor transform over the integral transform is its ability to solve the nonlinear differential equation. Two nonlinear problems—Van der Pol’s equation and the motion behavior of an earthquake isolation system—are solved by the present method. The results compare very well with the measured data and the results obtained from other analytical methods.
    keyword(s): Motion , Analytical methods , Nonlinear vibration , Earthquakes , Equations AND Nonlinear differential equations ,
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      Application of the Taylor Transform to Nonlinear Vibration Problems

    URI
    https://yetl.yabesh.ir/yetl1/handle/yetl/118012
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    contributor authorJ. S. Chiou
    contributor authorJ. R. Tzeng
    date accessioned2017-05-08T23:52:13Z
    date available2017-05-08T23:52:13Z
    date copyrightJanuary, 1996
    date issued1996
    identifier issn1048-9002
    identifier otherJVACEK-28829#83_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/118012
    description abstractA new transformation technique called the Taylor transform is introduced in this study. A great advantage of the Taylor transform over the integral transform is its ability to solve the nonlinear differential equation. Two nonlinear problems—Van der Pol’s equation and the motion behavior of an earthquake isolation system—are solved by the present method. The results compare very well with the measured data and the results obtained from other analytical methods.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleApplication of the Taylor Transform to Nonlinear Vibration Problems
    typeJournal Paper
    journal volume118
    journal issue1
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2889639
    journal fristpage83
    journal lastpage87
    identifier eissn1528-8927
    keywordsMotion
    keywordsAnalytical methods
    keywordsNonlinear vibration
    keywordsEarthquakes
    keywordsEquations AND Nonlinear differential equations
    treeJournal of Vibration and Acoustics:;1996:;volume( 118 ):;issue: 001
    contenttypeFulltext
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