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    On a Finite Element Formulation of Dynamical Torsion of Beams Including Warping Inertia and Shear Deformation Due to Nonuniform Warping

    Source: Journal of Vibration and Acoustics:;1983:;volume( 105 ):;issue: 004::page 476
    Author:
    A. Potiron
    ,
    D. Gay
    DOI: 10.1115/1.3269131
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: We start from the energetical expressions of dynamical torsion of beams in terms of angular and warping displacement and velocity. We derive the stiffness and two mass matrices including both secondary effects for torsion: the shear deformation due to nonuniform warping and the warping inertia. The suitability of these matrices for evaluation modified torsional frequencies is investigated in the case of thick, as well as thin-walled, cross section beams by comparison with analytical and experimental results.
    keyword(s): Inertia (Mechanics) , Torsion , Warping , Finite element analysis , Shear deformation , Stiffness , Displacement AND Frequency ,
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      On a Finite Element Formulation of Dynamical Torsion of Beams Including Warping Inertia and Shear Deformation Due to Nonuniform Warping

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    http://yetl.yabesh.ir/yetl1/handle/yetl/97809
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    contributor authorA. Potiron
    contributor authorD. Gay
    date accessioned2017-05-08T23:16:46Z
    date available2017-05-08T23:16:46Z
    date copyrightOctober, 1983
    date issued1983
    identifier issn1048-9002
    identifier otherJVACEK-28959#476_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/97809
    description abstractWe start from the energetical expressions of dynamical torsion of beams in terms of angular and warping displacement and velocity. We derive the stiffness and two mass matrices including both secondary effects for torsion: the shear deformation due to nonuniform warping and the warping inertia. The suitability of these matrices for evaluation modified torsional frequencies is investigated in the case of thick, as well as thin-walled, cross section beams by comparison with analytical and experimental results.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn a Finite Element Formulation of Dynamical Torsion of Beams Including Warping Inertia and Shear Deformation Due to Nonuniform Warping
    typeJournal Paper
    journal volume105
    journal issue4
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.3269131
    journal fristpage476
    journal lastpage483
    identifier eissn1528-8927
    keywordsInertia (Mechanics)
    keywordsTorsion
    keywordsWarping
    keywordsFinite element analysis
    keywordsShear deformation
    keywordsStiffness
    keywordsDisplacement AND Frequency
    treeJournal of Vibration and Acoustics:;1983:;volume( 105 ):;issue: 004
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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