Reliability analysis for sluice gate anti-sliding stability using Lévy stable distributions
Reliability analysis for sluice gate anti-sliding stability using Lévy stable distributions
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DOI：
10.1016/j.sigpro.2014.03.044
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发表时间：
2015-02
期刊：
影响因子：
--
通讯作者：
Yingjie Liang;Wen Chen
中科院分区：
文献类型：
--
作者：
Yingjie Liang;Wen Chen
本文旨在建立一种闸门抗滑稳定静动力可靠度的统计分析方法。该方法采用改进的Monte Carlo方法结合Lévy稳定分布研究静态可靠性，并通过消除趋势波动分析检测水位信号的时间尺度来分析动态可靠性。将该方法应用于永济二闸的抗滑稳定性评价。与现有的一次二阶矩法和最大熵原理给出的结果相比，模拟的失效概率具有较小的保守性。水位信号的尾部分布服从渐近幂律，其增量过程可以用线性分数阶稳定噪声模型很好地描述。
This paper is aimed at developing a statistical method to analyze the static and dynamic reliability of sluice gate anti-sliding stability. The proposed method investigates the static reliability by using a modified Monte Carlo method in conjunction with Lévy stable distributions, and the dynamic reliability is analyzed via the temporal scales of water level signal which is detected by the detrended fluctuation analysis. We exemplify this Lévy-Monte Carlo strategy in the evaluation of the anti-sliding stability of the Yongji second sluice gate. The simulated failure probabilities are less conservative than the existing results given by the first-order second-moment method and the maximum entropy principle. We also find that the tail distribution of water level signal obeys an asymptotic power law and its increment process can well be depicted by the linear fractional stable noise model.