本文提出了借传递矩阵法建立“特征盘”的运动方程,然后借直接积分法求解,用以求转子-支承系统的临界转速、振型、不平衡响应、及稳定性分析的方法。导出了在考虑其本身的转动惯量、质量、剪切应力影响下的轴段传递矩阵。以实例说明了借传递矩阵法建立“特征”微分方程组的过程。计算与实测了一个模型转子-支承系统的不平衡响应、临界转速及振型,二者基本吻合。 In this paper, the motion equation of “characteristic disk” is established by transfer matrix method and then solved by direct integral method to find the critical speed, mode shape, unbalance response and the stability analysis of the rotor-support system. Derived the axis transfer matrix under the influence of its own moment of inertia, mass and shear stress. An example is given to illustrate the process of establishing “characteristic” differential equations by transfer matrix method. The unbalance response, critical speed and vibration mode of a model rotor-bearing system are calculated and measured, which are in good agreement with each other.