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    Application of Fractional Calculus for Analysis of Nonlinear Damped Vibrations of Suspension Bridges 

    Source: Journal of Engineering Mechanics:;1998:;Volume ( 124 ):;issue: 009
    Author(s): Yuriy A. Rossikhin; Marina V. Shitikova
    Publisher: American Society of Civil Engineers
    Abstract: Free damped vibrations of a suspension bridge with a bisymmetric stiffening girder are considered under the conditions of the internal resonance one-to-one, i.e., when natural frequencies of two dominating modes—a certain ...
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    Ray Method for Solving Dynamic Problems Connected With Propagation of Wave Surfaces of Strong and Weak Discontinuities 

    Source: Applied Mechanics Reviews:;1995:;volume( 048 ):;issue: 001:;page 1
    Author(s): Yuriy A. Rossikhin; Marina V. Shitikova
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The aim of the article is to review the literature devoted to the solution of wave dynamics problems resulting in the propagation of nonstationary surfaces (volume waves) or lines (surface ...
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    Applications of Fractional Calculus to Dynamic Problems of Linear and Nonlinear Hereditary Mechanics of Solids 

    Source: Applied Mechanics Reviews:;1997:;volume( 050 ):;issue: 001:;page 15
    Author(s): Yuriy A. Rossikhin; Marina V. Shitikova
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The aim of this review article is to collect together separated results of research in the application of fractional derivatives and other fractional operators to problems connected with vibrations ...
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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(s): Yuriy A. Rossikhin; Marina V. Shitikova
    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 ...
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    Application of Weakly Anisotropic Models of a Continuous Medium for Solving the Problems of Wave Dynamics 

    Source: Applied Mechanics Reviews:;2000:;volume( 053 ):;issue: 003:;page 37
    Author(s): Yuriy A. Rossikhin; Marina V. Shitikova
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A review of papers dealing with the investigation of wave phenomena occurring in weakly anisotropic elastic media is available in the present article. Several weakly anisotropic models of a ...
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    Reflections on Fifty Years 

    Source: Applied Mechanics Reviews:;1997:;volume( 050 ):;issue: 008:;page T13
    Author(s): Yuriy A. Rossikhin; Marina V. Shitikova; Raouf A. Ibrahim; Marat Ilgamov
    Publisher: The American Society of Mechanical Engineers (ASME)
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