Based on the traditional stress-strength interference model

and with consideration of the randomness of structural size of turbo-rotor

temperature stress

rotating speed

external loads and material strength

the reliability of the location with largest local stress for rotor was studied using integral stochastic finite element method and Gram-Charlier series method.The relative error between the result of this paper and the one of Monte-Carlo is very small

and the result is exact.To avoid a large quantity computation and slow calculation of the finite element method

while the random structural reliability of rotor was computed.