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Structural Reliability Updating and Damage Assessment with Bayesian Networks

机译:贝叶斯网络的结构可靠性更新和损伤评估

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The traditional reliability analysis method cannot handle discrete variables and cannot give response timely when there are a new information (usually measurements) about the structure. In this paper, a computational framework for structural reliability updating and damage assessment is proposed. System modelmg of traditional Bayesian network is developed with continuous variables discretization and elimination. Firstly the reliability Bayesian network (RBN) is established according to the structure type, and to discretize the key component information variables. Then the redundant continuous nodes are eliminated according to Shachter's node elimination rule. Final the variable elimination method is used to carry out the exact inference and calculate the posterior probability distribution. When evidence (measurement) is available, at forward inference, the proposed method can facilitates structural reliability updating, and at backward inference, the proposed method can carry out damage assessment for the selected key component. Taking a rigid frame as the research object. By comparison with Monte Carlo method, the reliability deviation is less than 5%, it shows validity and accuracy of the proposed method.
机译:当存在有关结构的新信息(通常是测量值)时,传统的可靠性分析方法无法处理离散变量,也无法及时给出响应。本文提出了一种结构可靠度更新和损伤评估的计算框架。利用连续变量离散化和消除的方法,开发了传统贝叶斯网络的系统模型。首先根据结构类型建立可靠性贝叶斯网络(RBN),并离散化关键部件信息变量。然后根据Shachter的节点消除规则消除冗余的连续节点。最后,采用变量消除法进行精确推断并计算后验概率分布。当有证据(度量)可用时,在前推时,该方法可以促进结构可靠性的更新;而在后推时,该方法可以对所选关键部件进行损伤评估。以刚性框架为研究对象。通过与蒙特卡罗方法的比较,可靠性偏差小于5%,表明了该方法的有效性和准确性。

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