摘要:In designing the high head pump turbine runner, the vibratory stress caused by the interaction force between the guide vane and the runner vane should be exactly predicted. This paper, first, presents the analysis method to calculate the vibratory stress of the tuned runner by the cyclic symmetry method. And the simple procedure to estimate the vibration response of the mistuned runner is also proposed. Second, the response analysis of the actual runner is carried out, and some calculated results are shown to explain the typical vibration characteristics of the tuned and mistuned runner. It is shown that the vibration modes of the tuned runner include many Fourier components, which satisfy the resonant condition. In the resonance of the in-phase mode, the almost complete traveling wave is formed, while the non-moving points appear at the vane position on the crown and the band in the resonance of the out-of-phase mode. It is also shown that the mistuning effect of the runner is not so large. Lastly, the measured and calculated vibratory stresses of the actual runner are compared to verify the validity of the proposed method.
关键词:Vibration of Rotating Body;Forced Vibration;Finite Element Method;Runner of Water Turbine;Mistuning