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    Approximate Decoupling of the Equations of Motion of Linear Underdamped Systems

    Source: Journal of Applied Mechanics:;1988:;volume( 055 ):;issue: 003::page 716
    Author:
    S. M. Shahruz
    ,
    F. Ma
    DOI: 10.1115/1.3125855
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: One common procedure in the solution of a normalized damped linear system with small off-diagonal damping elements is to replace the normalized damping matrix by a selected diagonal matrix. The extent of approximation introduced by this method of decoupling the system is evaluated, and tight error bounds are derived. Moreover, if the normalized damping matrix is diagonally dominant, it is shown that decoupling the system by neglecting the off-diagonal elements indeed minimizes the error bound.
    keyword(s): Equations of motion , Damping , Errors , Approximation AND Damped linear dynamic systems ,
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      Approximate Decoupling of the Equations of Motion of Linear Underdamped Systems

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    http://yetl.yabesh.ir/yetl1/handle/yetl/103510
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    contributor authorS. M. Shahruz
    contributor authorF. Ma
    date accessioned2017-05-08T23:26:32Z
    date available2017-05-08T23:26:32Z
    date copyrightSeptember, 1988
    date issued1988
    identifier issn0021-8936
    identifier otherJAMCAV-26297#716_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/103510
    description abstractOne common procedure in the solution of a normalized damped linear system with small off-diagonal damping elements is to replace the normalized damping matrix by a selected diagonal matrix. The extent of approximation introduced by this method of decoupling the system is evaluated, and tight error bounds are derived. Moreover, if the normalized damping matrix is diagonally dominant, it is shown that decoupling the system by neglecting the off-diagonal elements indeed minimizes the error bound.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleApproximate Decoupling of the Equations of Motion of Linear Underdamped Systems
    typeJournal Paper
    journal volume55
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3125855
    journal fristpage716
    journal lastpage720
    identifier eissn1528-9036
    keywordsEquations of motion
    keywordsDamping
    keywordsErrors
    keywordsApproximation AND Damped linear dynamic systems
    treeJournal of Applied Mechanics:;1988:;volume( 055 ):;issue: 003
    contenttypeFulltext
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