有限元法在透平叶片振动研究中的应用
The Study of Turbine Blade Vibration Based on the Finite Element Method

以透平叶片振动分析理论为基础,对实验室的等截面直叶片分别通过理论法和有限元法求解其前7阶的切向弯曲自振频率并加以比较。利用有限元法对叶片及顶部围带相互连接的叶片组在不同转速下进行模态分析,得到叶片及叶片组动力刚化效应振动模态数值分析结果，并对结果进行了分析比较。对于顶部围带不连接的叶片组，利用有限元法通过构造弹簧模型来处理顶部围带的接触问题，所得结果真实反映了汽轮机运行过程中围带的碰撞和叶片的振动情况。
Based on the vibration theory of the turbine blade, the first seven orders of tangential bending natural frequency of vibration for the blade were calculated in the laboratory using the theory method and finite element method, then compared. The simulation analysis of the vibration mode of the blade and interlocked joint for the turbine shrouded blade group were carried out under different rotational speeds using the finite element method. The analysis results were obtained and compared, considering the dynamic stiffening effect. For the blade group, at the top of which the shrouds were not connected, the shroud contact issue was solved by constructing a spring modal and using the finite element method. The results were a true reflection of shroud collision and blade vibration during operation of the turbine.