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    Stability of General Hill’s Equation With Three Independent Parameters

    Source: Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 001::page 276
    Author:
    K. Hamer
    ,
    M. R. Smith
    DOI: 10.1115/1.3422628
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The stability of Hill’s equation with three independent parameters, two of which are small, is analyzed using a perturbation method. It is shown that, except for periodic terms of a special type, existing methods of determining stability boundaries fail. A new method, which works successfully to the first order of approximation, is described.
    keyword(s): Stability , Equations AND Approximation ,
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      Stability of General Hill’s Equation With Three Independent Parameters

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    http://yetl.yabesh.ir/yetl1/handle/yetl/159179
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    contributor authorK. Hamer
    contributor authorM. R. Smith
    date accessioned2017-05-09T01:21:55Z
    date available2017-05-09T01:21:55Z
    date copyrightMarch, 1972
    date issued1972
    identifier issn0021-8936
    identifier otherJAMCAV-25956#276_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/159179
    description abstractThe stability of Hill’s equation with three independent parameters, two of which are small, is analyzed using a perturbation method. It is shown that, except for periodic terms of a special type, existing methods of determining stability boundaries fail. A new method, which works successfully to the first order of approximation, is described.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleStability of General Hill’s Equation With Three Independent Parameters
    typeJournal Paper
    journal volume39
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3422628
    journal fristpage276
    journal lastpage278
    identifier eissn1528-9036
    keywordsStability
    keywordsEquations AND Approximation
    treeJournal of Applied Mechanics:;1972:;volume( 039 ):;issue: 001
    contenttypeFulltext
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