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    Steady-State Response of a Dynamical System Under Combined Parametric and Forcing Excitations

    Source: Journal of Applied Mechanics:;1974:;volume( 041 ):;issue: 002::page 371
    Author:
    C. S. Hsu
    ,
    W.-H. Cheng
    DOI: 10.1115/1.3423296
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A linear dynamical system subjected to combined parametric and forcing excitations of periodic nature is governed by a system of inhomogeneous differential equations with periodic coefficients. Presented here is an explicit expression for the steady-state periodic response of such a system, given in terms of the fundamental matrix of the homogeneous system. Based upon this expression, specific analytic formulas of the steady-state response can be derived for some physical systems. For a general system where such an analytical determination is not feasible, the derived expression allows us to devise a straightforward numerical procedure which is particularly suited for computer evaluation and which is equally suited for high-order systems.
    keyword(s): Dynamic systems , Steady state , Differential equations , Computers , Formulas AND Linear dynamic system ,
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      Steady-State Response of a Dynamical System Under Combined Parametric and Forcing Excitations

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    http://yetl.yabesh.ir/yetl1/handle/yetl/164456
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    contributor authorC. S. Hsu
    contributor authorW.-H. Cheng
    date accessioned2017-05-09T01:37:34Z
    date available2017-05-09T01:37:34Z
    date copyrightJune, 1974
    date issued1974
    identifier issn0021-8936
    identifier otherJAMCAV-26010#371_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/164456
    description abstractA linear dynamical system subjected to combined parametric and forcing excitations of periodic nature is governed by a system of inhomogeneous differential equations with periodic coefficients. Presented here is an explicit expression for the steady-state periodic response of such a system, given in terms of the fundamental matrix of the homogeneous system. Based upon this expression, specific analytic formulas of the steady-state response can be derived for some physical systems. For a general system where such an analytical determination is not feasible, the derived expression allows us to devise a straightforward numerical procedure which is particularly suited for computer evaluation and which is equally suited for high-order systems.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleSteady-State Response of a Dynamical System Under Combined Parametric and Forcing Excitations
    typeJournal Paper
    journal volume41
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3423296
    journal fristpage371
    journal lastpage378
    identifier eissn1528-9036
    keywordsDynamic systems
    keywordsSteady state
    keywordsDifferential equations
    keywordsComputers
    keywordsFormulas AND Linear dynamic system
    treeJournal of Applied Mechanics:;1974:;volume( 041 ):;issue: 002
    contenttypeFulltext
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