Title: BAYESIAN RELIABILITY EVALUATION OF MECHANICAL SYSTEM
Abstract: Bayesian reliability evaluation of the mechanical system is discussed. First, the reliability evaluation of mechanical components is analyzed when the stress and strength are independent and follow normal distributions. Given the prior distribution, accurate Bayesian lower bounds of the reliability of the components are discussed. Besides, accurate Bayesian lower bounds of reliability are given when none of prior information is available. Because of the complexity of calculating accurate lower bounds, the approximate methods are given to calculate the components' reliability lower bounds of a stress strength model. At the same time, the approximate distribution of the reliability of the components is given. Then the reliability information of mechanical components is converted into the mechanical system. The prior distribution of system reliability is obtained using the principle of maximum entropy. The reliability of the mechanical system is evaluated basing on the prior distribution if there are no testing data on the system. If there are testing data on the system itself, we can obtain the posterior distribution of the reliability of the system using Bayes theorem, thus we can analyze the reliability of the system basing on the posterior distribution. The simulation shows the method's application.
Publication Year: 2000
Publication Date: 2000-01-01
Language: en
Type: article
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