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    Integrals of Linearized Differential Equations of Motion of Mechanical Systems; Part I: Linearized Differential Equations

    Source: Journal of Applied Mechanics:;1987:;volume( 054 ):;issue: 003::page 656
    Author:
    T. R. Kane
    ,
    S. Djerassi
    DOI: 10.1115/1.3173084
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Part I of this paper deals with relationships between integrals of a set of nonlinear differential equations and integrals of equations obtained from such a set by a process of linearization. The terms “total linearization,” “reduction,” and “partial linearization” are introduced, a theorem is stated and proved in connection with each of these, and the use of each theorem is illustrated by means of an example. In Part II, the theorems are applied to differential equations of motion of mechanical systems.
    keyword(s): Motion , Differential equations , Theorems (Mathematics) , Equations AND Nonlinear differential equations ,
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      Integrals of Linearized Differential Equations of Motion of Mechanical Systems; Part I: Linearized Differential Equations

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    http://yetl.yabesh.ir/yetl1/handle/yetl/102074
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    contributor authorT. R. Kane
    contributor authorS. Djerassi
    date accessioned2017-05-08T23:24:08Z
    date available2017-05-08T23:24:08Z
    date copyrightSeptember, 1987
    date issued1987
    identifier issn0021-8936
    identifier otherJAMCAV-26284#656_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/102074
    description abstractPart I of this paper deals with relationships between integrals of a set of nonlinear differential equations and integrals of equations obtained from such a set by a process of linearization. The terms “total linearization,” “reduction,” and “partial linearization” are introduced, a theorem is stated and proved in connection with each of these, and the use of each theorem is illustrated by means of an example. In Part II, the theorems are applied to differential equations of motion of mechanical systems.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleIntegrals of Linearized Differential Equations of Motion of Mechanical Systems; Part I: Linearized Differential Equations
    typeJournal Paper
    journal volume54
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3173084
    journal fristpage656
    journal lastpage660
    identifier eissn1528-9036
    keywordsMotion
    keywordsDifferential equations
    keywordsTheorems (Mathematics)
    keywordsEquations AND Nonlinear differential equations
    treeJournal of Applied Mechanics:;1987:;volume( 054 ):;issue: 003
    contenttypeFulltext
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