Title :
Global bifurcations for a rotor-active magnetic bearings system
Author :
Tong, H.Z. ; Yang, F.H. ; Chen, L.H.
Author_Institution :
Sch. of Inf. Technol. & Manage. Eng., Univ. of Int. Bus. & Econ., Beijing, China
Abstract :
In this paper, the global bifurcation for a rotor-active magnetic bearings (AMB) system with the time-varying stiffness is investigated through discussing the zeros of the Melnikov function. Some critical conditions of chaos occurring are given. According to the results, the case that the order of Melnikov function is more than or equal to 2 is more general than other case (no zero or simple zero). In other word, homoclinic tangency may occur in several resonance relations.
Keywords :
bifurcation; chaos; magnetic bearings; rotors; vibrations; Melnikov function; chaos; global bifurcations; homoclinic tangency; rotor-active magnetic bearings system; time-varying stiffness; Bifurcation; Chaos; Financial management; Information management; Information technology; Magnetic levitation; Nonlinear equations; Space technology; Technology management; Time varying systems; Chaos; homoclinic bifurcation; rotor-active magnetic bearing;
Conference_Titel :
Industrial Engineering and Engineering Management, 2009. IEEM 2009. IEEE International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-4869-2
Electronic_ISBN :
978-1-4244-4870-8
DOI :
10.1109/IEEM.2009.5373143
