A new reliability analysis method is presented which is called quasi pure probabilistic method(QPPM).On the basis of the present method

equivalent Weibull distribution method(EWM)is established for the reliability analysis of machine elements.Weibull distribution can express different distribution forms

so it is a more suitable method to describe random parameters with different distribution forms in mechanical reliability analysis.The calculation accuracy of the EWM is higher than that of the equivalent normal distribution mehtod(ENM)in reliability prediction.The present method is intelligible in concept

convenient in use

and has more important significance for reliability prediction of mechanical products with higher reliability requirements.