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    Solution Bounds for Transient Vibration Problems

    Source: Journal of Applied Mechanics:;1977:;volume( 044 ):;issue: 001::page 159
    Author:
    T. J. McDaniel
    ,
    F. J. Testa
    ,
    P. V. Thangam Babu
    DOI: 10.1115/1.3423983
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The theory of differential inequalities is applied to systems of nonlinear differential equations of the initial value type. Established bounding theorems are used to construct bounds on the solution of these equations and to develop an iterative procedure for improving these bounds. The methods are illustrated by constructing upper and lower solution bounds for one and two-degree-of-freedom dynamic systems.
    keyword(s): Vibration , Equations , Nonlinear differential equations , Theorems (Mathematics) AND Dynamic systems ,
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      Solution Bounds for Transient Vibration Problems

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    https://yetl.yabesh.ir/yetl1/handle/yetl/89615
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    contributor authorT. J. McDaniel
    contributor authorF. J. Testa
    contributor authorP. V. Thangam Babu
    date accessioned2017-05-08T23:02:26Z
    date available2017-05-08T23:02:26Z
    date copyrightMarch, 1977
    date issued1977
    identifier issn0021-8936
    identifier otherJAMCAV-26068#159_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/89615
    description abstractThe theory of differential inequalities is applied to systems of nonlinear differential equations of the initial value type. Established bounding theorems are used to construct bounds on the solution of these equations and to develop an iterative procedure for improving these bounds. The methods are illustrated by constructing upper and lower solution bounds for one and two-degree-of-freedom dynamic systems.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleSolution Bounds for Transient Vibration Problems
    typeJournal Paper
    journal volume44
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3423983
    journal fristpage159
    journal lastpage164
    identifier eissn1528-9036
    keywordsVibration
    keywordsEquations
    keywordsNonlinear differential equations
    keywordsTheorems (Mathematics) AND Dynamic systems
    treeJournal of Applied Mechanics:;1977:;volume( 044 ):;issue: 001
    contenttypeFulltext
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