Multiple stabilities analysis in a magnetic bearing system with time delays |
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| Institution: | 1. Department of Mechanical Engineering, University of Maryland, College Park, USA;2. School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai, China;3. Department of Mechanical Engineering, The Petroleum Institute, Abu Dhabi, United Arab Emirates;1. School of Energy and Power Engineering, Beihang University, Beijing 100191, China;2. State Key Laboratory of Tribology, Tsinghua University, Beijing 100084, China;1. School of Aerospace Engineering, Tsinghua University, Beijing 100084, China;2. Naval Aviation Institute, Huludao 125001, China |
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| Abstract: | A kind of magnetic bearing system with time delay is considered. Firstly, multiple stabilities of the model is investigated. According to the analysis results, the bifurcation diagram is drawn in the appropriate parameter plane. Then the center manifold reduction and normal form computation for simple zero singularity are performed and detailed bifurcation analysis are carried out. Finally, some numerical simulations are presented to illustrate the results found. |
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