磁浮轴承-转子系统非线性动态特性分析

The Nonlinear Dynamic Behavior Analysis of Magnetic Levitated Rotor-Bearing System

考虑非线性电磁力对刚性Jeffcott转子系统的影响 ,采用Hopf分岔理论及CPNF法对系统平衡点解和周期解进行研究 ,数值仿真得到系统Jacobi矩阵特征值、轴心轨迹图和Poincare映射图。转子运动呈现Hopf分岔、倍周期分岔及拟周期运动等复杂的非线性动力学特征 ,其结果可为磁浮轴承

In this paper, considering the effect of nonlinear magnetic force on Jeffcott rotor system. The Hopf Bifurcation theory and CPNF method are used to study the equilibrium and periodical solution respectively. Through numerical simulation the eigenvalues of Jacobi matrix, the trajectory of system and Poincare mapping are obtained. The rotor motion shows complex dynamic phenomena, such as Hopf bifurcation, period-doubling Bifurcation, pesudo-periodic bifurcation, etc. The result provides theory bases to design and control of Magnetic Levitated Rotor-Bearing System.