Journal
NONLINEAR DYNAMICS
Volume 56, Issue 3, Pages 231-241Publisher
SPRINGER
DOI: 10.1007/s11071-008-9395-6
Keywords
Stochastic averaging method; Fractional derivative damping; Strongly nonlinear oscillator; Combined harmonic and white noise excitations; First passage failure
Categories
Funding
- National Natural Science Foundation of China [10332030, 10772159]
- Doctoral Program of Higher Education of China [20060335125]
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A stochastic averaging method for strongly nonlinear oscillators with lightly fractional derivative damping of order alpha (0 < 1) under combined harmonic and white noise external and (or) parametric excitations is proposed and then applied to study the first passage failure of Duffing oscillator with lightly fractional derivative damping of order 1/2 under combined harmonic and white noise excitations in the case of primary parametric resonance. Numerical results show that the proposed method works very well.
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