Higher-order stochastic averaging for a SDOF fractional viscoelastic system under bounded noise excitation

DOI10.1016/j.jfranklin.2017.09.019zbMath1380.93272OpenAlexW2759598203MaRDI QIDQ682791

Jian Deng

Publication date: 5 February 2018

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2017.09.019

zbMATH Keywords

stochastic stabilitymoment Lyapunov exponentsMonte-Carlo simulationsbounded noise excitationengineering applicationsfractional Kelvin-Voigt constitutive relationsingle-degree-of-freedom (SDOF) fractional viscoelastic system

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Non-Newtonian fluids (76A05) Lyapunov and storage functions (93D30) Stochastic stability in control theory (93E15)

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Cites Work

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• Stochastic stability of a viscoelastic column axially loaded by a white noise force
• Response and stability of SDOF viscoelastic system under wideband noise excitations
• Creep constitutive models for viscoelastic materials based on fractional derivatives
• Stability analysis of nonlinear fractional-order systems with variable-time impulses
• Stochastic averaging principle for differential equations with non-Lipschitz coefficients driven by fractional Brownian motion
• Moment Lyapunov Exponent and Stochastic Stability of Two Coupled Oscillators Driven by Real Noise
• Unified Second-Order Stochastic Averaging Approach

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