非线性转子系统周期响应的分析

ANALYSIS OF PERIODIC RESPONSE OF ROTOR DYNAMIC SYSTEM WITH NONLINEAR SUPPORTS

基于时域的时间有限元法，将描述转子系统动力学特征的非线性微分方程组离散成一组非线性代数方程，然后应用吴消去法的特征列思想对所得到的非线性代数方程组进行降维求解，进而得到待求节点位移响应的解析解形式，并据此对一具有非线性支撑的柔性Ｊｅｆｆｃｏｔｔ转子模型响应的性质进行了分析．

Based on a finite element formulation in the time domain, this method transforms the non- linear differential equations governing the dynamic behavior of rotor-bearing system into a set of non- linear algebraic equations that can be reduced and calculated by the characteristic set of Wu elimina- tion method. The analytic solution for the nodal displacements is obtained and the behavior of peri- odic response of flexible Jeffcott rotor-bearing sys- tem with nonlinear supports is analysed.