METHOD TO ENSURE COMPREHENSIVE SURVIVAL PROBABILITY WHEN FATIGUE LIVES FIT WEIBULL DISTRIBUTION

Many Chinese engineers are interested in studying the method to ensure the comprehensive survival probability of total serial products. We now present our preliminary study on one aspect of this important problem. In order to make full use of the data of the previous sample tests, we put forward the new method based on the idea of hypothesis test, which not only can ensure the comprehensive survival probability (also called comprehensive reliability) of total serial products, but also overcome the lack of the data from one sample test. We derived the relevant formulae when the distribution functions of fatigue life of serial products fit Weibull distribution, and defined the new safe factor S * f based on the idea of hypothesis test. Compared with the traditional safe factor S f obtained from the concept of parameter estimation, the S * f is much closer to the actual statistical value. We considered the succession of practical products and emphasized to use the information of the previous sample tests for ensuring the comprehensive survival probability of total serial products in this paper. The results of an example show that our new method is effective.