The fractional derivative expansion method in nonlinear dynamic analysis of structures

DOI10.1007/s11071-019-05055-wzbMath1430.34069OpenAlexW2951140256WikidataQ127653404 ScholiaQ127653404MaRDI QIDQ2296384

Marina V. Shitikova

Publication date: 18 February 2020

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-019-05055-w

zbMATH Keywords

suspension bridgeinternal resonancefractional derivativemethod of multiple time scalesfractional derivative expansionfree nonlinear damped vibrations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Multiple scale methods for ordinary differential equations (34E13) Nonlinear resonances for nonlinear problems in mechanics (70K30) Fractional ordinary differential equations (34A08)

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• A Perturbation Method for Treating Nonlinear Oscillation Problems

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