用广义多项式展式法作转子轴承系统的动力分析

GENERALIZED POLYNOMIAL EXPANSION METHOD FOR DYNAMIC ANALYSIS OF ROTOR-BEARING SYSTEMS

采用广义多项式展式法求解一个带柔性轴承的Timoshenko梁模型的转子系统的动态特性,轴承的交叉刚度与交叉阻尼、转轴的横向剪切应变能、系统的旋转惯性和陀螺耦合效应都得到了充分考虑。两个典型算例验证了该法的正确性与有效性,该法还与有限元法作了比较,大大节省了计算机CPU运行时间。

Timoshenko beam model is considered to solve dynamic characteristics and unbalanced response of a rotor system with a flexible shaft and rigid disks supported by non-conservative flexible bearings using a technique called the generalized polynomial expansion method(GPEM).Cross-coupled stiffness and damping coefficients of bearings,transverse shear strain energy,rotary inertia and gyroscopic effects of the system are taken in consideration.Typical numerical examples show the correctness and the efficiency of GPEM by comparing its results with those using the finite element method(FEM).Especially,it is shown that comparing with FEM,GPEM saves a great deal of computer CPU time.