摘要
在 K.K.Gupta 提出的联合应用 Strum 序列和反迭代方法的基础上,本文给出了一种求解转子-轴承系统特征解的改进方法。导出了三种移位迭代公式。并利用平面传递矩阵法求初始估算特征解。利用这一程序,每一个特征解可独立地求出;而且达到收敛所需的迭代次数是较少的。本方法所需的计算时间及贮存单元明显少于 Gupta 方法。对于计算柔性转子的各阶对数减幅、涡动频率及失稳阀速方面,本文方法是一种有效的计算方法。
Based on the combined Strum sequence and inverse iteration technique proposed by K.K.Gupta,an improved iterationseheme for the eigensolution of rotor-bearing systems is presented in this paper.Three types of shift iterative formulations are de- rived,and the first trial eigensolution is obtained by means of planar transfer matrix method.Using this procedure,every eigensolution can be achieved independently,and the number of steps necessary for convergence is relatively small.This procedure gives significant reductions in computation time and core size in comparison with Gupta's. The approach given in this paper is an effieient eomputational algorithm for calculating the logarithmic decrements,whirl frequencies and stability threshold speed of a flexi- ble rotor.
出处
《振动与冲击》
EI
CSCD
北大核心
1990年第3期6-10,共5页
Journal of Vibration and Shock
基金
国家自然科学基金
