Abstract
A rotor-active magnetic bearing (AMB) system subjected to a periodically time-varying stiffness with quadratic and cubic nonlinearities under multi-parametric excitations is studied and solved. The method of multiple scales is applied to analyze the response of two modes of a rotor-AMB system with multi-parametric excitations and time-varying stiffness near the simultaneous primary and internal resonance. The stability of the steady state solution for that resonance is determined and studied using Runge-Kutta method of fourth order. It is shown that the system exhibits many typical non-linear behaviors including multiple-valued solutions, jump phenomenon, hardening and softening non-linearities and chaos in the second mode of the system. The effects of the different parameters on the steady state solutions are investigated and discussed also. A comparison to published work is reported.
| Original language | English |
|---|---|
| Pages (from-to) | 7-22 |
| Number of pages | 16 |
| Journal | Meccanica |
| Volume | 45 |
| Issue number | 1 |
| DOIs | |
| State | Published - Feb 2010 |
| Externally published | Yes |
Keywords
- Jump phenomenon
- Multi-parametric excitations
- Multiple-valued solutions
- Rotor-active magnetic bearing
- Stability
- Time-varying stiffness