Abstract
A procedure for the response power spectral density estimate of a fractionally damped stochastic nonlinear vibration structure is proposed. The stationary probability density function of the response is firstly obtained with the application of stochastic averaging technique; and then improved statistical linearization is adopted to transform the original system into its linear equivalent, for which the conditional power spectral density can be derived immediately. Finally, an analytical formula of the response power spectral density of the fractionally damped vibration structure is calculated by integrating the obtained results. Numerical simulation verifies the validity of the proposed procedure.
| Original language | English |
|---|---|
| Pages (from-to) | 401-405 |
| Number of pages | 5 |
| Journal | Yingyong Lixue Xuebao/Chinese Journal of Applied Mechanics |
| Volume | 30 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jun 2013 |
Keywords
- Fractional derivative
- Power spectral density
- Statistical linearization
- Stochastic averaging
- Viscoelastic structural damping