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随着汽轮发电机组的大型化，轴系扭振问题愈益突出，由此而产生的振荡流场及流体与叶栅的交互作用是导致轴系失稳乃至发生断轴等重大事故的可能原因。该文研究了轴系扭振与流体激振的关系，采用参数多项式方法，导出了全三元可压缩无粘流动振幅方程及其积分方程，计算了某大型汽轮机末级叶栅的振荡流场和非定常气动力。结果表明，非定常气动力做功的大小与振幅有关，而气动力做功的正负与频域有关，给出了非定常气动力是否导致轴系失稳的判据，为大型汽轮发电机组气动安全性的分析判断提供了有用的手段。
With the enlargement of steam turbine generators, the torsional vibration of the shaft system becomes more and more prominent. The resulting oscillating flow field and the interaction between the fluid and the cascade are the possible causes of shaft instability and even serious accidents such as broken shafts . In this paper, the relationship between torsional vibration of shaft system and fluid excitation is studied. The parametric polynomial method is used to derive the full ternary compressible non-viscous flow amplitude equation and its integral equation. The oscillation flow field of the final cascade of a large steam turbine is calculated. And unsteady aerodynamics. The results show that the size of unsteady aerodynamic work is related to the amplitude, and the positive and negative of the work done by aerodynamic forces are related to the frequency domain. The criterion of unsteady aerodynamics for instability of the shaft is given. Security analysis and judgment provides a useful tool.