中文摘要：

通过复杂转子系统的随机参数运动微分方程,分析了转子系统特征值的随机性问题。通过整体传递矩阵法计算出双转子系统的特征值,使用Monte Carlo数值模拟计算方法,分别计算并分析了以具有一个中介轴承支撑和两个中介轴承支撑的双转子系统耦合单元的质量参数、刚度参数及阻尼系数为随机参数时,双转子系统的特征值均值及其标准差随变异系数的变化规律。

英文摘要：

The stochastic problems in the eigenvalue of the complex double rotor system were analyzed by the dynamic stochastic differential equation.The eigenvalues of double rotor system was calculated with the whole transfer matrix method.After that,the relationship between the eigenvalue including its mean and standard deviation value and the random parameter＇s variation coefficient was investigated with Monte-Carlo method considering the effects of random parameters such as coupling element＇s mass,stiffness and damping coefficient.Meanwhile,to improve the effectiveness of this research,the conclusion was verified individually on double rotor system with one or two coupling bearings.