The Stochastic Finite Element Method For The Strength Analysis Of Turbine Blade

The parameters that affect the strength of the turbine blade in the steam turbine are usually uncertain, such as the material characteristic, the rotating speed and the load, and so on. So the distortion and stress are also uncertain. Based on the second-order perturbation technique, the stochastic finite element method(SFEM) of the strength analysis of the turbine blade is introduced in this paper.A SFEM model named rotating twisted and tapered beam that is used in the longest turbine blade in the steam turbine is established. Including the rotation effects, due to the deformation of axial direction, bending and shearing, the element matrix and load matrix are educed. With the help of local average method to discrete the random field, the statistical characteristic of random parameter is attained, and it is used to the perturbation stochastic finite element method(PSFEM) equation that is good at calculating the strength of turbine blade. Finally, the software of second-times PSFEM is formed. When the rotating speed, the elasticity modulus and steam load were considered as random parameter, the statistical characteristic of strength of turbine blade can be calculated by this software, and Monte Carlo simulation method is used to check up the validity. Xu Fei (Mechanic Design and Theory) Directed by prof. Peng Zhenzhong & prof. Wang Zhangqi...