TITLE

Stochastic stability of Duffing oscillator with fractional derivative damping under combined harmonic and white noise parametric excitations

AUTHOR(S)
Chen, L.; Zhu, W.
PUB. DATE
September 2009
SOURCE
Acta Mechanica;Sep2009, Vol. 207 Issue 1/2, p109
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
The stochastic stability of a Duffing oscillator with fractional derivative damping of order a (0 < a < 1) under parametric excitation of both harmonic and white noise is studied. First, the averaged It� equations are derived by using the stochastic averaging method for an SDOF strongly nonlinear stochastic system with fractional derivative damping under combined harmonic and white noise excitations. Then, the expression for the largest Lyapunov exponent of the linearized averaged It� equations is obtained and the asymptotic Lyapunov stability with probability one of the original system is determined approximately by using the largest Lyapunov exponent. Finally, the analytical results are confirmed by using those from a Monte Carlo simulation of the original system.
ACCESSION #
43566981

 

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