Response statistics of nonlinear systems with fractional derivative elements subject to nonstationary excitations

In this paper nonlinear systems/structures endowed with fractional derivative elements are analyzed. The excitation considered can be either stationary or nonstationary, and either white or non-white. As an analysis tool, the stochastic averaging technique involving a widely-used approximation of fr...

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Vydané v:	Nonlinear dynamics Ročník 113; číslo 25; s. 34371 - 34388
Hlavní autori:	Luo, Yi, Spanos, Pol D.
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Dordrecht Springer Nature B.V 01.12.2025
Predmet:	Approximation Derivatives Differential equations Excitation Galerkin method Mathematical analysis Monte Carlo simulation Nonlinear systems Power spectral density Random vibration
ISSN:	0924-090X, 1573-269X
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