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    Mechanically Based Nonlocal Euler-Bernoulli Beam Model

    Source: Journal of Nanomechanics and Micromechanics:;2014:;Volume ( 004 ):;issue: 001
    Author:
    Mario Di Paola
    ,
    Giuseppe Failla
    ,
    Massimiliano Zingales
    DOI: 10.1061/(ASCE)NM.2153-5477.0000077
    Publisher: American Society of Civil Engineers
    Abstract: This paper presents a nonlocal Euler-Bernoulli beam model. It is assumed that the equilibrium of a beam segment is attained because of the classical local stress resultants, along with long-range volume forces and moments exchanged by the beam segment with all the nonadjacent beam segments. Elastic long-range volume forces/moments are considered, built as linearly depending on the product of the volumes of the interacting beam segments and on generalized measures of their relative motion, based on the pure deformation modes of the beam. Attenuation functions governing the space decay of the nonlocal effects are introduced. The motion equations are derived in an integro-differential form by applying Hamilton’s principle. Numerical results are presented for a variety of nonlocal parameters. A comparison with experimental data is also provided.
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      Mechanically Based Nonlocal Euler-Bernoulli Beam Model

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    http://yetl.yabesh.ir/yetl1/handle/yetl/67580
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    contributor authorMario Di Paola
    contributor authorGiuseppe Failla
    contributor authorMassimiliano Zingales
    date accessioned2017-05-08T21:57:56Z
    date available2017-05-08T21:57:56Z
    date copyrightMarch 2014
    date issued2014
    identifier other%28asce%29ps%2E1949-1204%2E0000071.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/67580
    description abstractThis paper presents a nonlocal Euler-Bernoulli beam model. It is assumed that the equilibrium of a beam segment is attained because of the classical local stress resultants, along with long-range volume forces and moments exchanged by the beam segment with all the nonadjacent beam segments. Elastic long-range volume forces/moments are considered, built as linearly depending on the product of the volumes of the interacting beam segments and on generalized measures of their relative motion, based on the pure deformation modes of the beam. Attenuation functions governing the space decay of the nonlocal effects are introduced. The motion equations are derived in an integro-differential form by applying Hamilton’s principle. Numerical results are presented for a variety of nonlocal parameters. A comparison with experimental data is also provided.
    publisherAmerican Society of Civil Engineers
    titleMechanically Based Nonlocal Euler-Bernoulli Beam Model
    typeJournal Paper
    journal volume4
    journal issue1
    journal titleJournal of Nanomechanics and Micromechanics
    identifier doi10.1061/(ASCE)NM.2153-5477.0000077
    treeJournal of Nanomechanics and Micromechanics:;2014:;Volume ( 004 ):;issue: 001
    contenttypeFulltext
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