具有非线性刚度的转子系统局部碰摩动力学行为研究

建立了具有非线性刚度的转子系统局部碰摩的动力学微分方程,并应用数值分析方法研究了此类系统响应的复杂动力学行为,利用转子响应的分岔图、最大Lyapunov指数曲线图、Poincar截面映射图等图形分析了系统响应的周期运动、拟周期运动、倍周期分岔、阵发性分岔、混沌等运动形式的转化与演变过程.

Study of local colision and friction's dynamical behavior for a rotor system with non-linear stiffness

The rotor system local impact and rubbing dynamics differential equations having the nonlinear rigidity was constructed. The bifurcation and chaos behavior especially the influence on bifurcation and chaos behavior of impact and rubbing fault rotor system caused by the parameters of nonlinear rigidity was analyzed, using the numerical value analysis methods. The bifurcation diagrams, maximum Lyapunov exponent diagrams, Poincaré maps were used. The convert and evolution course of periodical response, quasi-periodical response, double-periodical bifurcation, chaos of the system response was analyzed.