非线性转子局部碰摩故障的分叉与混沌行为

研究了非线性转子系统碰摩故障的分叉与混沌行为,应用中心流形定理和n维Hopf分叉定理分析了转子系统特征值出现双零实部的情形,讨论了非孤立奇点对转子系统分叉特性的影响,得到了相应的稳定条件,并进行了计算机仿真数值模拟·分析表明,非线性转子系统发生碰摩时,呈现多种形式的周期与概周期运动,以及多种分叉与混沌行为·

Bifurcation and Chaos Behavior of Nonlinear Local Rubbing Rotor

The bifurcation and chaos behavior of nonlinear rubbing rotor were investigated in terms of Hartman Grobman theorem. The case with double zero real part of eigenvalues was analyzed by means of the theory of center manifold and n dimension Hopf bifurcation. The effects on system bifurcation behavior was discussed. Numerical simulation of rotor motion was conducted. Diagrams of bifurcation, locus and phase trajectory, spectrum of power and amplitude, and maximum Lyapunov exponent and fractal number for the rotor motion were obtained. Harmony, period k and quasi periodic motion in rotor rubbing faults are co existed with chaos motion.