Abstract
An analytical model is proposed to analyze a series of typical nonlinear behaviors of flexible rotor system, such as resonance, oscillation, whirl and whip. The model is constructed by introducing a defined nonlinear scale factor ε, nonlinear stiffness and nonlinear damping. Based on multi-scale method, the analytical solutions of steady-state and transient-state are derived, and the nonlinear natural frequency and Frequency Response Equation (FRE) are obtained. A transient time scale factor t1 is defined to reflect the transient-state influence on steady-state solution. The experimental result also verifies the rationality and validity of the analytical model and the analytical solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 4980-4994 |
| Number of pages | 15 |
| Journal | Journal of Vibroengineering |
| Volume | 18 |
| Issue number | 8 |
| DOIs | |
| State | Published - Dec 2016 |
| Externally published | Yes |
Keywords
- Analytical model
- Analytical solution
- Flexible rotor system
- Nonlinear scale factor
- Nonlinear vibration
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