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    Elementary, Static Beam Theory is as Accurate as You Please

    Source: Journal of Applied Mechanics:;1990:;volume( 057 ):;issue: 001::page 134
    Author:
    J. M. Duva
    ,
    J. G. Simmonds
    DOI: 10.1115/1.2888294
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Starting with a solution of elementary beam theory and integrating polynomials in the thickness coordinate, we generate kinematically-admissible strain fields and statically-admissible strain fields whose average approximates the actual two-dimensional strain field in an orthotropic beam to within a relative mean square error of the order of magnitude of an arbitrary power of the ratio of the thickness of the beam to a characteristic wavelength of the elementary beam solution.
    keyword(s): Wavelength , Errors , Polynomials AND Thickness ,
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      Elementary, Static Beam Theory is as Accurate as You Please

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    contributor authorJ. M. Duva
    contributor authorJ. G. Simmonds
    date accessioned2017-05-08T23:31:57Z
    date available2017-05-08T23:31:57Z
    date copyrightMarch, 1990
    date issued1990
    identifier issn0021-8936
    identifier otherJAMCAV-26318#134_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/106519
    description abstractStarting with a solution of elementary beam theory and integrating polynomials in the thickness coordinate, we generate kinematically-admissible strain fields and statically-admissible strain fields whose average approximates the actual two-dimensional strain field in an orthotropic beam to within a relative mean square error of the order of magnitude of an arbitrary power of the ratio of the thickness of the beam to a characteristic wavelength of the elementary beam solution.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleElementary, Static Beam Theory is as Accurate as You Please
    typeJournal Paper
    journal volume57
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2888294
    journal fristpage134
    journal lastpage137
    identifier eissn1528-9036
    keywordsWavelength
    keywordsErrors
    keywordsPolynomials AND Thickness
    treeJournal of Applied Mechanics:;1990:;volume( 057 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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