中文摘要：

混流式水轮振动现象严重影响水电站的安全运行,为避免共振确定转轮的固有频率是必须的。以转子动力学及有限元法的理论基础,综合应用工程软件Pro/E和ANSYS,可以对混流式水轮机转轮建立实体几何模型和有限元模型,从而分析了转轮自由振动状态下和旋转状态下的固有频率和振型特点、变化规律及差异,结果表明：转轮旋转态的固有频率高于非旋转态固有频率,随着频率的不断升高,转轮由整体振动逐渐变为以叶片局部振动为主。该方法为转轮优化设计和叶片裂纹产生分析进行了有效探索。

英文摘要：

The intense vibration phenomenon of Francis turbine generator seriously impacts on the safe operation of the hydropower stations. It is necessary to determine the natural frequencies of the runner for avoiding the resonant. It has rotor dynamics and finite element methods as the theoretical basis ,the solid geometric and finite element analysis model of the runner are built by Pro/E and ANSYS powerful modeling and assembly functions. The natural frequencies and the mode shapes of the runner are respectively analyzed by ANSYS software between the free vibration state and the rotating state. The results indicate the runner＇s natural frequencies af the free vibration state are higher than the runner＇s natural frequencies of the rotating state. Along with frequency unceasing ascension,the runner＇s integral vibration change into blade＇s vibration gradually. The work of this thesis could offer some reference for optimize design of the runner and the reasons the blade occurring cracks.