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Parameter Estimation and Structural Reliability Analysis for Tunnel Lining Structure Based on Maximal Entropy Principle

机译:基于最大熵原理的隧道衬砌结构参数估计与结构可靠度分析

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Considering the facts that the parameters of tunnel lining structures are random, that the distributions are various, and that the limit state functions are highly nonlinear, this paper estimates and presents the practical parameters of tunnel lining structures. The calculations are formulated in the framework of the information entropy and maximal entropy principle, so that the actual parameters are obtained. The failure probability and the reliability index are calculated using the parameters based on the Monte-Carlo direct sampling method. Then the stability of tunnel lining structure is evaluated by using the reliability index. According to the practical engineering, an example is given. The results, which are calculated by the Monte-Carlo direct sampling method and maximal entropy principle for tunnel lining structure, are more scientific and reliable. The present method, with a high precision and a fast velocity, is suitable for similar parameter estimation and reliability calculation.
机译:考虑到隧道衬砌结构参数是随机的,分布是多种多样的,极限状态函数是高度非线性的,本文估计并提出了隧道衬砌结构的实用参数。在信息熵和最大熵原理的框架内进行计算,从而获得实际参数。使用基于蒙特卡洛直接采样方法的参数来计算故障概率和可靠性指标。然后利用可靠性指标对隧道衬砌结构的稳定性进行评估。根据实际工程,给出一个例子。通过蒙特卡洛直接采样法和最大熵原理对隧道衬砌结构进行计算得到的结果更加科学可靠。本发明的方法具有较高的精度和较高的速度,适用于类似的参数估计和可靠性计算。

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