Investigation of relation between singular points and number of limit cycles for a rotor-AMBs system

被引：17
作者：
Li, J. [2 ]
Tian, Y. [2 ]
Zhang, W. [1 ]
机构：
[1] Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China
[2] Beijing Univ Technol, Coll Appl Sci, Beijing 100022, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2009年 / 39卷 / 04期
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
ACTIVE MAGNETIC BEARING; TIME-VARYING STIFFNESS; CHAOTIC MOTIONS; BIFURCATIONS;
D O I：
10.1016/j.chaos.2007.06.044
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The relation between singular points and the number of limit cycles is investigated for a rotor-active magnetic bearings system with time-varying stiffness and single-degree-of-freedom. The averaged equation of the system is a perturbed polynomial Hamiltonian system of degree 5. The dynamic characteristics of the unperturbed system are first analyzed for a certain parameter group. The number of limit cycles and their configurations of the perturbed system under eight different parametric groups are obtained and the influence of eight control conditions oil the number of limit cycles is studied. The results obtained here will play an important leading role in the study of the properties of nonlinear dynamics and control of the rotor-active magnetic bearings system with time-varying stiffness. (C) 2007 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1627 / 1640
页数：14
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