Abstract
This paper extends the method of PE-HAM to strongly nonlinear stochastic dynamic system under harmonic and Gauss white noise excitations. By constructing an appropriate homotopy mapping, the original system is transformed into a set of linear stochastic differential equations. In addition, the strongly nonlinear Duffing oscillator subjected to harmonic and Gauss white noise excitations is investigated using the proposed method, and its approximate analytically solution process and steady-state probability density are obtained. Numerical simulation is employed to verify the theoretical result and good agreement is found.
Original language | English |
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Pages (from-to) | 5069-5076 |
Number of pages | 8 |
Journal | Wuli Xuebao/Acta Physica Sinica |
Volume | 54 |
Issue number | 11 |
DOIs | |
State | Published - Nov 2005 |
Keywords
- PE-HAM method
- Steady-state probability density
- Stochastic excitation
- Stochastic solution
- Strongly nonlinear stochastic dynamic systems