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    A Modified Lindstedt–Poincaré Method for Strongly Mixed-Parity Nonlinear Oscillators

    Source: Journal of Computational and Nonlinear Dynamics:;2007:;volume( 002 ):;issue: 002::page 141
    Author:
    W. P. Sun
    ,
    C. W. Lim
    ,
    B. S. Wu
    DOI: 10.1115/1.2447304
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: By introducing linear and constant terms with an undetermined parameter and subsequently using certain rules to determine the optimal value of the parameter, we establish analytical approximate frequencies and the corresponding periodic solutions for strongly mixed-parity nonlinear oscillators. A quadratic–cubic nonlinear oscillator is used to verify and illustrate the usefulness and effectiveness of the proposed method.
    keyword(s): Parity (Physics) , Frequency , Oscillations AND Approximation ,
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      A Modified Lindstedt–Poincaré Method for Strongly Mixed-Parity Nonlinear Oscillators

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    http://yetl.yabesh.ir/yetl1/handle/yetl/135336
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    contributor authorW. P. Sun
    contributor authorC. W. Lim
    contributor authorB. S. Wu
    date accessioned2017-05-09T00:22:57Z
    date available2017-05-09T00:22:57Z
    date copyrightApril, 2007
    date issued2007
    identifier issn1555-1415
    identifier otherJCNDDM-25613#141_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/135336
    description abstractBy introducing linear and constant terms with an undetermined parameter and subsequently using certain rules to determine the optimal value of the parameter, we establish analytical approximate frequencies and the corresponding periodic solutions for strongly mixed-parity nonlinear oscillators. A quadratic–cubic nonlinear oscillator is used to verify and illustrate the usefulness and effectiveness of the proposed method.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Modified Lindstedt–Poincaré Method for Strongly Mixed-Parity Nonlinear Oscillators
    typeJournal Paper
    journal volume2
    journal issue2
    journal titleJournal of Computational and Nonlinear Dynamics
    identifier doi10.1115/1.2447304
    journal fristpage141
    journal lastpage145
    identifier eissn1555-1423
    keywordsParity (Physics)
    keywordsFrequency
    keywordsOscillations AND Approximation
    treeJournal of Computational and Nonlinear Dynamics:;2007:;volume( 002 ):;issue: 002
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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