复杂转子系统特征值问题的随机摄动分析

Random Perturbation Analysis on Eigenvalue Problem of Complex Rotor System

在实际工程中转子系统的参数往往具有不确定性,为了更好地对转子系统的稳定性、可靠性和故障诊断等方面进行研究,正确分析随机参数对转子系统振动特性的影响已经成为不可忽视的问题。文章使用随机摄动传递矩阵方法研究复杂转子系统的随机特征值问题,计算分析了中介轴承随机参数对双转子系统阻尼特征值的影响,将计算结果与Monte Carlo随机模拟法的计算结果比较,验证了随机摄动传递矩阵方法的可靠性和实用性。该随机摄动分析方法可以应用在研究随机参数对转子系统动力学特性和响应影响的计算分析中。

In the actual engineering,the parameters of the rotor system are often uncertain. In order to better research the stability,reliability and fault diagnosis of the rotor system,the influence of random parameters on the vibration characteristics of the rotor system has become a problem which can not be ignored. The random perturbation transfer matrix method was used to study the random eigenvalue problem of complex rotor system,and the influence of the random parameters of the intermediate bearing on the damping characteristics of the dual rotor system was calculated and analyzed. The results compared with the calculation results by the Carlo Monte stochastic simulation method verified the reliability and availability of random perturbation transfer matrix method. The random perturbation analysis method can be applied to the analysis of the influence of the random parameters on the dynamic characteristics and response of the rotor system.