中文摘要：

基于Riccati摄动传递矩阵法,可以导出随机参数转子系统动力学响应与随机参数间的关系。运用二次型、雅克比行列式及概率的相关知识,给出用数值积分法计算随机参数转子系统动力响应概率密度的方法。用该方法计算分析Bently转子随机参数动力学响应的概率密度,并与Monte Carlo模拟方法对比,结果表明：当变异系数达到0.30时,该方法仍然有较高的精度,且计算速度快。

英文摘要：

Based on the Riccati perturbation transfer matrix method,the relationship between the dynamic response of random parametrical rotor system and its random parameters can be derived.Using the quadratic form,Jacobian determinant and knowledge of the probability,the numerical integration method for calculating the probability density of the dynamic response of random parametrical rotor system is presented.The method is applied for the probability density analysis of the dynamic response of the Bently rotor system,and the computational results coincide well with those of the Monte Carlo simulation.The results show that the method is accurate and efficient as the variation coefficient reach to 0.30.