A probabilistic analysis method is developed for static response of the turbine blade with parametric uncertainty. The material, geometric parameters and loadings of blade exhibit notable random fluctuations, so the conventional deterministic analysis of blade can’t provide complete information. The Stochastic analysis can tackle the uncertainties in blade parameters and obtain the probabilistic characteristics of the response. In this paper, the study focuses on the 3D stochastic finite element method (3DSFEM) of the static response for turbine blade. The perturbation stochastic finite element method (PSFEM) is used to calculate probabilistic characteristics of the static response of the turbine blade. The random response of a turbine blade subjected to the steam pressure and the centrifugal force is analyzed using perturbation stochastic finite element method. The example shows that the present method is valid.

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