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    On the Approximate Solution of Nonclassically Damped Linear Systems

    Source: Journal of Applied Mechanics:;1993:;volume( 060 ):;issue: 003::page 695
    Author:
    J. H. Hwang
    ,
    F. Ma
    DOI: 10.1115/1.2900860
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A common procedure in the solution of a nonclassically damped linear system is to neglect the off-diagonal elements of the associated modal damping matrix. For a large-scale system, substantial reduction in computational effort is achieved by this method of decoupling the system. In the present paper, the error introduced by disregarding the off-diagonal elements is evaluated, and a quadrature formula for the approximation error is derived. A tight error bound is then obtained. In addition, an effective scheme to improve the accuracy of the approximate solution is outlined.
    keyword(s): Damped linear dynamic systems , Errors , Formulas , Damping AND Approximation ,
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      On the Approximate Solution of Nonclassically Damped Linear Systems

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    http://yetl.yabesh.ir/yetl1/handle/yetl/111393
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    contributor authorJ. H. Hwang
    contributor authorF. Ma
    date accessioned2017-05-08T23:40:27Z
    date available2017-05-08T23:40:27Z
    date copyrightSeptember, 1993
    date issued1993
    identifier issn0021-8936
    identifier otherJAMCAV-26350#695_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/111393
    description abstractA common procedure in the solution of a nonclassically damped linear system is to neglect the off-diagonal elements of the associated modal damping matrix. For a large-scale system, substantial reduction in computational effort is achieved by this method of decoupling the system. In the present paper, the error introduced by disregarding the off-diagonal elements is evaluated, and a quadrature formula for the approximation error is derived. A tight error bound is then obtained. In addition, an effective scheme to improve the accuracy of the approximate solution is outlined.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn the Approximate Solution of Nonclassically Damped Linear Systems
    typeJournal Paper
    journal volume60
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2900860
    journal fristpage695
    journal lastpage701
    identifier eissn1528-9036
    keywordsDamped linear dynamic systems
    keywordsErrors
    keywordsFormulas
    keywordsDamping AND Approximation
    treeJournal of Applied Mechanics:;1993:;volume( 060 ):;issue: 003
    contenttypeFulltext
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