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Maximum-Entropy Method for Evaluating the Slope Stability of Earth Dams
School of Civil Engineering, Shandong University, Jinan 250014, China
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Received: 11 June 2012; in revised form: 14 September 2012 / Accepted: 27 September 2012 / Published: 2 October 2012
Abstract: The slope stability is a very important problem in geotechnical engineering. This paper presents an approach for slope reliability analysis based on the maximum-entropy method. The key idea is to implement the maximum entropy principle in estimating the probability density function. The performance function is formulated by the Simplified Bishop’s method to estimate the slope failure probability. The maximum-entropy method is used to estimate the probability density function (PDF) of the performance function subject to the moment constraints. A numerical example is calculated and compared to the Monte Carlo simulation (MCS) and the Advanced First Order Second Moment Method (AFOSM). The results show the accuracy and efficiency of the proposed method. The proposed method should be valuable for performing probabilistic analyses.
Keywords: slope stability; probability density functions; maximum entropy method; moments
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MDPI and ACS Style
Li, C.; Wang, W.; Wang, S. Maximum-Entropy Method for Evaluating the Slope Stability of Earth Dams. Entropy 2012, 14, 1864-1876.
Li C, Wang W, Wang S. Maximum-Entropy Method for Evaluating the Slope Stability of Earth Dams. Entropy. 2012; 14(10):1864-1876.
Li, Chuanqi; Wang, Wei; Wang, Shuai. 2012. "Maximum-Entropy Method for Evaluating the Slope Stability of Earth Dams." Entropy 14, no. 10: 1864-1876.