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    Trends in Eigenvalues of Straight and Bent Beams on Elastic Supports

    Source: Journal of Vibration and Acoustics:;1987:;volume( 109 ):;issue: 002::page 133
    Author:
    F. R. Bourne
    ,
    M. W. Dixon
    DOI: 10.1115/1.3269404
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Singular value analysis is used to develop eigenvalue and eigenvector trends for beams supported by periodically-spaced, elastic elements. These trends are illustrated for both straight and bent beams as a function of the number of spans in the system, the boundary conditions, and the ratio of support to beam stiffness. As might be speculated, the effect of boundary conditions decreases as the number of spans increases. Also the effect of a bend becomes more pronounced as the bend is moved nearer the center of the beam. Simplified models are presented which provide excellent approximations of the first natural frequency for certain values of the ratio of support to beam stiffness.
    keyword(s): Eigenvalues , Stiffness , Arches , Boundary-value problems AND Approximation ,
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      Trends in Eigenvalues of Straight and Bent Beams on Elastic Supports

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    https://yetl.yabesh.ir/yetl1/handle/yetl/103330
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    contributor authorF. R. Bourne
    contributor authorM. W. Dixon
    date accessioned2017-05-08T23:26:14Z
    date available2017-05-08T23:26:14Z
    date copyrightApril, 1987
    date issued1987
    identifier issn1048-9002
    identifier otherJVACEK-28973#133_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/103330
    description abstractSingular value analysis is used to develop eigenvalue and eigenvector trends for beams supported by periodically-spaced, elastic elements. These trends are illustrated for both straight and bent beams as a function of the number of spans in the system, the boundary conditions, and the ratio of support to beam stiffness. As might be speculated, the effect of boundary conditions decreases as the number of spans increases. Also the effect of a bend becomes more pronounced as the bend is moved nearer the center of the beam. Simplified models are presented which provide excellent approximations of the first natural frequency for certain values of the ratio of support to beam stiffness.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleTrends in Eigenvalues of Straight and Bent Beams on Elastic Supports
    typeJournal Paper
    journal volume109
    journal issue2
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.3269404
    journal fristpage133
    journal lastpage137
    identifier eissn1528-8927
    keywordsEigenvalues
    keywordsStiffness
    keywordsArches
    keywordsBoundary-value problems AND Approximation
    treeJournal of Vibration and Acoustics:;1987:;volume( 109 ):;issue: 002
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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