一种计算转子不平衡响应的新方法

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建立了以状态方程和转移矩阵为基础的分析方法，以分析复杂转子的不平衡响应。在不必事先确定转子系统固有振型及自振频率的情况下，利用此方法可直接求得转子振动响应的精确解。该方法与传递矩阵法相结合，可容易地求解复杂转子系统的不平衡响应问题。算例分析表明。

In order to determine the dynamic response of a complex rotor system to imbalance,a new approach is developed,based on the state equation and transition matrix of motion of a rotor.By means of this method,the exact solution of rotor vibration response can be directly obtained without any information about its modes in advance.Furthermore,as the transition matrix can be transformed into a transfer matrix,so this approach can be combined with transfer-matrix method,and the dynamic response of a complex rotor system to imbalance can be easily computed.A numerical example shows,that this approach is an effective and short-cut method.