转子系统阻尼固有频率算法中数值溢出问题的研究

Research on the Problem of Overflow in Calculating the Damped Critical Speeds of Rotor-bearing Systems

对基于Riccati传递矩阵法和Murphy-Vance法的转子系统的阻尼固有频率的传递矩阵──多项式计算法中的数值溢出问题作了分析研究，提出了一种代换p＝gq，通过这种代换，使上述计算方法中的数值溢出问题得到了解决。文中对一台200MW汽轮机转子轴承系统的阻尼固有频率作了计算，计算结果证实，这种代换在数学上是严格的，对数值溢出问题的解决是有效的。

In this paper, the problem of overflow in calculating the damped critical speeds of rotor-bearing systems is analyzed and a substitutionp=gq is presented to solve this problem. By thismeans,a damped critical speeds of a steam turbineis calculated. The results show that the substitution is mathematical strict and effective in overcome the overflow problem.