The Fractional Derivative Expansion Method in Nonlinear Dynamics of Structures: A Memorial Essay (Q3296672)

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English	The Fractional Derivative Expansion Method in Nonlinear Dynamics of Structures: A Memorial Essay	scientific article

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instance of

scholarly article

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title

The Fractional Derivative Expansion Method in Nonlinear Dynamics of Structures: A Memorial Essay (English)

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published in

Trends in Mathematics

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publication date

1 July 2020

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zbMATH Keywords

natural frequency

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method of multiplied scales

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author

Marina V. Shitikova

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-030-35914-0_29

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cites work

Vibrations of an infinite viscoelastic layer with a dissipative memory

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Non-linear vibrations of suspension bridges with external excitation

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Q4133280

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A Perturbation Method for Treating Nonlinear Oscillation Problems

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Q5682682

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Q3895818

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Q4530071

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Modal Interactions in Dynamical and Structural Systems

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Q3851672

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The fractional calculus. Theory and applications of differentiation and integration to arbitrary order

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Analysis of nonlinear free vibrations of suspension bridges

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Analysis of nonlinear vibrations of a two-degree-of-freedom mechanical system with damping modelled by a fractional derivative

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Analysis of free non-linear vibrations of a viscoelastic plate under the conditions of different internal resonances

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Computational problems in science and engineering

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A New Approach for Studying Nonlinear Dynamic Response of a Thin Fractionally Damped Plate with 2:1 and 2:1:1 Internal Resonances

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Nonlinear dynamic response of a fractionally damped cylindrical shell with a three-to-one internal resonance

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Q3141895

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A New Approach for Studying Nonlinear Dynamic Response of a Thin Fractionally Damped Cylindrical Shell with Internal Resonances of the Order of $$\varepsilon $$

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Identifiers

zbMATH Open document ID

1443.74196

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DOI

10.1007/978-3-030-35914-0_29

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:3296672