吴消元法在转子动力学研究中的应用

Application of Wu Elimination Method in Rotor Dynamics

以转子 -轴承系统中短轴承的转子涡动、具有非线性支撑的柔性Jeffcott转子模型的周期响应为研究对象 ,对吴消元法在转子动力学研究中的应用作了初步探索。将吴消元法的特征列思想和 Maple软件的符号计算功能相结合 ,实现了对短轴承涡动参数的解析计算及对柔性 Jeffcott转子模型周期响应的解析分析 ,在此基础上对 Jeffcott转子的动态特性作了进一步的分析。

In this paper,the whirl equations of short-bearing model, the steady-state periodic behavior of nonlinear rotor dynamic system in the rotor-bearing system are studied in order to explore the application of Wu method to rotor-bearing system. The idea of the characteristic set of Wu method is combined with Maple's symbolic calculation, which completes the analytic calculation of whirl parameter of short-bearing system and the steady-state periodic behavior of nonlinear rotor-bearing system. Moreover, the dynamic behavior of the Jeffcoot rotor system is analyzed by present method.