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    Application of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results

    Source: Applied Mechanics Reviews:;2010:;volume( 063 ):;issue: 001::page 10801
    Author:
    Yuriy A. Rossikhin
    ,
    Marina V. Shitikova
    DOI: 10.1115/1.4000563
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The present state-of-the-art article is devoted to the analysis of new trends and recent results carried out during the last 10years in the field of fractional calculus application to dynamic problems of solid mechanics. This review involves the papers dealing with study of dynamic behavior of linear and nonlinear 1DOF systems, systems with two and more DOFs, as well as linear and nonlinear systems with an infinite number of degrees of freedom: vibrations of rods, beams, plates, shells, suspension combined systems, and multilayered systems. Impact response of viscoelastic rods and plates is considered as well. The results obtained in the field are critically estimated in the light of the present view of the place and role of the fractional calculus in engineering problems and practice. This articles reviews 337 papers and involves 27 figures.
    keyword(s): Vibration , Equations , Relaxation (Physics) AND Damping ,
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      Application of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results

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    https://yetl.yabesh.ir/yetl1/handle/yetl/142340
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    contributor authorYuriy A. Rossikhin
    contributor authorMarina V. Shitikova
    date accessioned2017-05-09T00:36:06Z
    date available2017-05-09T00:36:06Z
    date copyrightJanuary, 2010
    date issued2010
    identifier issn0003-6900
    identifier otherAMREAD-25921#010801_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/142340
    description abstractThe present state-of-the-art article is devoted to the analysis of new trends and recent results carried out during the last 10years in the field of fractional calculus application to dynamic problems of solid mechanics. This review involves the papers dealing with study of dynamic behavior of linear and nonlinear 1DOF systems, systems with two and more DOFs, as well as linear and nonlinear systems with an infinite number of degrees of freedom: vibrations of rods, beams, plates, shells, suspension combined systems, and multilayered systems. Impact response of viscoelastic rods and plates is considered as well. The results obtained in the field are critically estimated in the light of the present view of the place and role of the fractional calculus in engineering problems and practice. This articles reviews 337 papers and involves 27 figures.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleApplication of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results
    typeJournal Paper
    journal volume63
    journal issue1
    journal titleApplied Mechanics Reviews
    identifier doi10.1115/1.4000563
    journal fristpage10801
    identifier eissn0003-6900
    keywordsVibration
    keywordsEquations
    keywordsRelaxation (Physics) AND Damping
    treeApplied Mechanics Reviews:;2010:;volume( 063 ):;issue: 001
    contenttypeFulltext
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