Multi-pulse chaotic motions of a rotor-active magnetic bearing system with time-varying stiffness
| Autor: | X.P. Zhan, Ming-Hui Yao, Wei Zhang |
|---|---|
| Rok vydání: | 2006 |
| Předmět: |
Physics
Rotor (electric) General Mathematics Applied Mathematics Mathematical analysis Chaotic General Physics and Astronomy Stiffness Equations of motion Magnetic bearing Statistical and Nonlinear Physics law.invention Nonlinear system Classical mechanics law medicine Parametric oscillator medicine.symptom Parametric statistics |
| Zdroj: | Chaos, Solitons & Fractals. 27:175-186 |
| ISSN: | 0960-0779 |
| DOI: | 10.1016/j.chaos.2005.04.003 |
| Popis: | In this paper, we investigate the Shilnikov type multi-pulse chaotic dynamics for a rotor-active magnetic bearings (AMB) system with 8-pole legs and the time-varying stiffness. The stiffness in the AMB is considered as the time-varying in a periodic form. The dimensionless equation of motion for the rotor-AMB system with the time-varying stiffness in the horizontal and vertical directions is a two-degree-of-freedom nonlinear system with quadratic and cubic nonlinearities and parametric excitation. The asymptotic perturbation method is used to obtain the averaged equations in the case of primary parametric resonance and 1/2 subharmonic resonance. It is found from the numerical results that there are the phenomena of the Shilnikov type multi-pulse chaotic motions for the rotor-AMB system. A new jumping phenomenon is discovered in the rotor-AMB system with the time-varying stiffness. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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