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。

The problem of overflow in calculating the damped critical speeds of rotorbearing systems is analyzed and a substitution of p=gq is presented,upon which the problem is solved. By this means, the damped critical speeds of a steam turbine are calculated. Results show that the substitution is strict in mathematics and effective in solving the problem.