疲劳寿命服从威布尔分布时保证综合存活率的一种方法

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

针对产品疲劳寿命服从威布尔分布的情况 ,提出基于假设检验思想的综合存活率保证方法和安全系数确定方法 ,推导了相应的计算公式。该方法的特点是基于假设检验概念 ,充分利用已有的信息 ,弥补了当次分析数据的不足 。

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 St* based on the idea of hypothesis test. Compared with the traditional safe factor St obtained from the concept of parameter estimation, the St* 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.