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本文提出了转子——支承系统阻尼固有频率的一种计算方法,即采用Riccati分块矩阵递推,直接得到系统的特征多项式L(S)=0,然后用Bairstow-Newton法迭代解出全部特征根。和传统的传递矩阵法比,该法计算速度快,占用内存少,避免了数值不稳定和丢根,且可依次求得系统的全部解。文中对一模型转子和国产20万千瓦汽轮机转子系统做了计算,计算结果与实测值较好地接近。这个方法将有助于诸如汽轮发电机组这样的高速大型旋转机械的合理设计和可靠运行。
In this paper, a method of calculating the damping natural frequency of a rotor-support system is proposed, which uses the Riccati block matrix recursion to directly obtain the system characteristic polynomial L (S) = 0 and iteratively solves all the features by the Bairstow-Newton method root. Compared with the traditional transfer matrix method, this method has the advantages of fast calculation, less occupied memory, avoiding the instability of values and dropping of roots, and can obtain all the solutions of the system in turn. In this paper, a model rotor and domestic 200,000-kilowatt steam turbine rotor system is calculated, the calculated results are close to the measured values. This method will facilitate the rational design and reliable operation of large high-speed rotating machines such as turbogenerators.