发动机对转双转子系统碰摩非线性响应分析

ANALYSIS ON RUB IMPACT NON-LINEAR RESPONSE OF THE COUNTER-ROTATING DUAL-ROTOR SYSTEM

建立了发动机对转双转子系统的动力学模型。对模型进行了离散处理,推导了其有限元动力学方程。研究了外转子发生突加不平衡故障后引起的转子动静碰摩对于对转转子响应的影响。采用Wilson-θ等方法对有限元动力学方程进行了求解,得到了对转双转子系统在突加不平衡时,系统动力学响应的变化;以及随后发生转子机匣碰摩故障时的非线性及混沌响应。分析了对转双转子系统的分岔与混沌运动,发现了一种新的通过环面交叉进入混沌的方式。

In this paper, we investigated the rub-impact in the counter-rotating dual-rotor system. First we discretized the model of the counter-rotating rotor system and derived its FEM dynamical equations. Then we studied the rub impact fault caused by the sudden imbalance at the outer rotor and its influence on the response. The Wilson-θ method and other methods were employed to solve the equations. It can be seen that with the variation of rotating speed the Hopf bifurcation will occur. The quasi-periodic response exhibits tori twist in the Poincare section. It is found there exists a route to chaos where the quasi-periodic tori intersect each other gradually.