打滑(空气动力学)
高斯求积
稳健性(进化)
高斯分布
模拟退火
数学优化
应用数学
高斯积分
尼氏法
数学
计算机科学
算法
数学分析
积分方程
工程类
物理
量子力学
生物化学
化学
航空航天工程
基因
作者
Weihang Ouyang,Si Wei Liu,Yi Yang
标识
DOI:10.1016/j.compgeo.2022.104754
摘要
The Morgenstern-Price (MP) method is an effective solution to compute the factor of safety (FOS) of a slope against sliding that has been used extensively for decades. In the MP method, the soil mass above the slip surface needs to be tediously divided into vertical slices to compute the force and moment integrals. The proposed research improves the computational efficiency of the MP method by employing the Gaussian quadrature for the integrals, where the soil mass division into a significant number of vertical slices is improved by aligning a few Gauss points along the slip surface. Consequently, the computational efficiency can be dramatically improved, resulting in a reduction in calculation efforts. Moreover, this research further refines the iteration scheme to satisfy the equilibrium conditions for the FOS using a robustly stable numerical algorithm with two initial scaling factors. The critical slip surface was determined by the simulated annealing algorithm. Finally, the proposed method was thoroughly validated via a series of benchmark examples. This research could improve the traditional MP method by enhancing its robustness and efficiency and provide an informative technique for force integrals that may be motivated by other problems in geotechnical engineering.
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