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    Extension of the Wittrick-Williams Algorithm to Mixed Variable Systems

    Source: Journal of Vibration and Acoustics:;1997:;volume( 119 ):;issue: 003::page 334
    Author:
    Zhong Wanxie
    ,
    F. W. Williams
    ,
    P. N. Bennett
    DOI: 10.1115/1.2889728
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A precise integration algorithm has recently been proposed by Zhong (1994) for dynamic stiffness matrix computations, but he did not give a corresponding eigenvalue count method. The Wittrick-Williams algorithm gives an eigenvalue count method for pure displacement formulations, but the precise integration method uses a mixed variable formulation. Therefore the Wittrick-Williams method is extended in this paper to give the eigenvalue count needed by the precise integration method and by other methods involving mixed variable formulations. A simple Timoshenko beam example is included.
    keyword(s): Algorithms , Eigenvalues , Stiffness , Computation AND Displacement ,
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      Extension of the Wittrick-Williams Algorithm to Mixed Variable Systems

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/119704
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    contributor authorZhong Wanxie
    contributor authorF. W. Williams
    contributor authorP. N. Bennett
    date accessioned2017-05-08T23:55:17Z
    date available2017-05-08T23:55:17Z
    date copyrightJuly, 1997
    date issued1997
    identifier issn1048-9002
    identifier otherJVACEK-28839#334_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/119704
    description abstractA precise integration algorithm has recently been proposed by Zhong (1994) for dynamic stiffness matrix computations, but he did not give a corresponding eigenvalue count method. The Wittrick-Williams algorithm gives an eigenvalue count method for pure displacement formulations, but the precise integration method uses a mixed variable formulation. Therefore the Wittrick-Williams method is extended in this paper to give the eigenvalue count needed by the precise integration method and by other methods involving mixed variable formulations. A simple Timoshenko beam example is included.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleExtension of the Wittrick-Williams Algorithm to Mixed Variable Systems
    typeJournal Paper
    journal volume119
    journal issue3
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2889728
    journal fristpage334
    journal lastpage340
    identifier eissn1528-8927
    keywordsAlgorithms
    keywordsEigenvalues
    keywordsStiffness
    keywordsComputation AND Displacement
    treeJournal of Vibration and Acoustics:;1997:;volume( 119 ):;issue: 003
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian