刚度阵奇异的多平行轴转子系统振动的求解

Solution for the Vibration of Multi stage Rotor System with Singular Stiffness Matrix

分析了具有斜齿轮传动的多平行轴转子系统，采用集中参数模型，用传递矩阵法建立了系统弯扭耦合振动方程，系统振动方程的刚度阵、阻尼阵为大型稀疏、不对称阵，由于刚度为奇异阵，使方程的求解更加困难。本文用两种方法求解了系统的振动方程。

In this paper, the parallel multi stage rotor system of helical gear transmission is analyzed. Using concentrate parameter model and the method of transmission matrix, the coupled lateral torsional vibration equation has been built up. Because the stiffness and damp matrices are spare and unbalance, especially the stiffness matrix is singular, the solution for the vibration equation becomes very difficult to be obtained. In this paper, the authors use two methode to solve the vibration equation of the system.