迷宫密封-转子系统非线性动力学模型及求解

摘 要：迷宫密封广泛应用于各种旋转机械，研究密封内流体与转子的相互作用，对系统稳定性分析有重要意义。本文利用双控制体模型给出迷宫密封内不可压缩流场的控制方程，并用Jeffcot模型对转子-密封系统建模，求解此非线性动力模型得到系统转子位移与密封腔内压强的数值解。以不平衡转子-密封系统为例，计算分析系统非线性动力特性，并用Hopf分岔图与Poincare截面图进行直观表示。结果表明减小转子质量偏心对提高系统稳定性有较大影响。

Nonlinear dynamic model of labyrinth seal-rotor system and its solution

With the two-control-volume model,the controlling equations were deduced for incompressible flow in the labyrinth seal of rotating machinery.The rotor-labyrinth seal system was simplified as a Jeffcot rotor madel.With the nonlinear dynamic model,the numerical solution of the rotor’s displacement and the pressure in seal cavity were analyzed.An eccentric rotor-seal system example was calculated to show the nonlinear characters of the system which could be observed in Hopf bifurcation diagrams and Poincare maps.The results show that it is important to reduce the rotor eccentricity for the improvement of system stability.