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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Bibliographic Details

Published in:	Nonlinear dynamics Vol. 113; no. 25; pp. 34371 - 34388
Main Authors:	Luo, Yi, Spanos, Pol D.
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Nature B.V 01.12.2025
Subjects:	Approximation Derivatives Differential equations Excitation Galerkin method Mathematical analysis Monte Carlo simulation Nonlinear systems Power spectral density Random vibration
ISSN:	0924-090X, 1573-269X
Online Access:	Get full text
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