求一般结构系统部分复模态的Ritz向量法及应用

Ritz vector solution for partial complex modes of general structures and its applications

构造了一种获取一般结构系统（刚度、阻尼矩阵可以是非对称的）Ｒｉｔｚ向量基的迭代方法，从而可以把高维阻尼系统部分复模态求解降阶成为一个低维二次特征问题，将此降阶后的二次特征问题化成标准特征值后即可用ＱＲ方法求得系统的部分低阶特征解。作为应用，对一个实际转子－轴承系统的动力特性进行了计算分析。

\ In order to obtain the partial complex modes of the general structures an iteration method is established for calculating basis of Ritz vector set of the structural system whatever the stiffness matrix and damping matrix of the system are symmetric or not. From the Ritz vector basis the high order of quadratic eigenproblem of the damping system can reduce to a lower order one and then it can transform to a lower order of standard eigenproblem that can be easily solved by QR method. As an application the dynamic behavior of a real rotor bearing is analyzed by the new method.