叶片─盘─轴整体转子振动特性分析

DYNAMIC ANALYSIS OF ROTATING FLEXIBLE BLADE-DISK-SHAFT SYSTEMS

提出分析盘—片—轴全弹性整体转子系统动力特性的新方法。采用刚盘—轴组件和盘—片组件作为两个子结构，应用模态综合，导出了整体转子的运动方程，求解了相应的广义陀螺特征值问题，求得涡动频率、涡动模态和临界转速，判断了正、负进动。对盘—片组件执行了几何非线性大变形分析，求出动平衡位置和切线刚度阵，准确计算了离心力的刚度效应。利用盘—片组件的回转对称性，采用群论算法，把自由度缩聚到一个扇区，克服了算机容量的困难。编制了盘—片—轴耦合振动的大型有限元程序。进行了盘—片—轴耦合振动的试验研究，试验与计算结果一致。

A new analytical approach is developed for dynamics of rotating coupled flexible blade disk shaft system.For this purpose the main works have been done as follows:(1)A 3D nonlinear FEM dynamic analysis of blade disk assembly with large DOF,was carried out.Therefrom dynamic equilibrium configuration and the tangential stiffness matrix were obtained.(2)By taking the advantage of rotational symmetry of the structures and with the help of group theory algorithm,the DOF of the above problem was reduced significantly.(3)By using the mode synthesis technique,the equation of motion and the corresponding gyroscopic eigenvalue problem were derived for the coupled blade disk shaft system.(4)An efficient algorithm for the gyroscopic eigenvalue problem was provided.(5)A large FEM program named DASOBD was developed firstly in China for the dynamic analysis of the blade disk shaft system.(6)A numerical and experimental investigation was accomplished for a laboratory blade disk shaft model.The results verified the presented theory and program.(7)A numerical example of its industrial application was also given.