Fatigue life prediction method of mechanical parts based on Weibull distribution

Aiming at the randomness of fatigue life of mechanical parts, the reliability analysis and fatigue life prediction of mechanical parts are carried out through the Weibull distribution of three parameters. The process of solving the complex transcendental equation is analyzed, and the method of solving the likelihood function by unconstrained optimization method is proposed to estimate the values of the three parameters of Weibull distribution. A complete and accurate Weibull distribution model was established to analyze and calculate the data of gear tooth fracture, and the accuracy of the model was verified. The fatigue life of mechanical parts could be predicted by this model.