基于动力学方程及几何模型的高速转子动力学特性

对基于动力学方程的高速转子数学模型，用传递矩阵法进行了计算，以HFD型锭子为例获得了各阶固有频率及其相应主振型；基于计算机几何模型，通过ADAMS软件平台获得了锭杆杆端具有偏心激励时的振幅曲线．结果表明，转子工作转速在第一、第二阶临界转速范围之间，若想将转速从18000r／min提高到25000r／min，则必然跳过第二阶临界转速，但受转子本身结构所限制，一般不可跳过第二阶临界转速；否则，有可能使上轴承中的油膜被击穿，噪声、功率随速度的增加而急剧上升；只有通过结构改进设计才有可能提高其转速．

Research of dynamics characteristic of high speed rotors by using dynamic equation and geometrical model

Dynamic equation-based mathematics model of high-speed rotors was calculated by using transfer matrix. Taking model HFD spinning spindle as an example, the critical speeds and corresponded mode is obtained. A tip vibration curve of the spindle is achieved based computer geometrical model using ADAMS adding eccentric excitation. The results show that the rotate speed of spinning spindle is between the first critical rotate speed and the second. It would over the second critical rotate speed if the speed is increased from 18 000 r/min to 25 000 r/min. According to the structure of spinning spindle, the speed cannot increase over the second critical speed. Otherwise, the oil film will be destroyed, the noise and power will rapidly increase with speed raise. The increase of rotor speed need improve structure design. Dynamic equation modeling and computer aid geometrical modeling can supplement each other solving engineering problems.