Abstract: If the complex stiffness of a support is non homogeneous along circle,the stiffness may be resolved into two main planes vertical each other.There is maximum or minimum stiffness in the main planes.Simultaneously,the acting forces and displacements at vibration are also resolved into the main planes.The 8 steps transfer matrices are respectively built for shaft,support and plate.Then,the calculated equations of critical rotational speed and amplitude can be deduced according to the overall arrangement of rotors.Study specifies that the non homogeneous rotor is essential distinct from the homogenous one in the frequency spectrum and the critical rotational speed of the former will increase twice.The vibration occurs first in direction of minimum stiffness and the trace of rotor vibration is an ellipse

Key words: Liquid propellant rocket engine;Turbine rotor;Rotor speed;Transfer matrix method +;Numerical simulation

摘要： 当支承的组合刚性沿圆周不均匀时，可将其刚性分解到两个互相垂直的主平面中，在主平面中具有最大和最小刚性。同时，把转子振动时的受力和位移分解到主平面中，用八阶矩阵分别建立轴、支承、盘的传递矩阵。然后根据具体的转子布局方案可导出临界转速和振幅计算方程。研究表明，非均匀支承转子与均匀支承转子相比，频率谱有质量差别，前者可能出现的临界转速数增加一倍，在刚性小的方向首先发生振动，转子振动的轨迹为椭圆。

关键词: 液体推进剂火箭发动机;涡轮转子;转子速度;传递矩阵法＋;数值仿真