Influence of fractional calculus model parameters on nonlinear forced vibrations of suspension bridges

Nonlinear forced vibrations of suspension bridges, when the frequency of an external force is approaching one of the natural frequencies of the suspension system, which, in its turn, undergoes the conditions of the one-to-one internal resonance, are investigated. The generalized method of multiple t...

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Bibliographic Details
Published in:IOP conference series. Materials Science and Engineering 2019-03, Vol.489 (1), p.12037
Main Authors: Katembo, A L, Shitikova, M V
Format: Article
Language:English
Subjects:
Approximation
Damping
Exact solutions
Forced vibration
Fractional calculus
Resonant frequencies
Suspension bridges
Suspension systems
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Summary:Nonlinear forced vibrations of suspension bridges, when the frequency of an external force is approaching one of the natural frequencies of the suspension system, which, in its turn, undergoes the conditions of the one-to-one internal resonance, are investigated. The generalized method of multiple time scales is used as the method of solution. The damping features are described by the fractional derivative, which is interpreted as the fractional power of the differentiation operator. An approximate analytical solution has been obtained by the method of successive approximations.
ISSN:1757-8981
1757-899X
1757-899X
DOI:10.1088/1757-899X/489/1/012037