黄土非均质多级高边坡稳定分析上限解  

Upper bound solution of stability analysis of heterogeneous multistage high slope in loess

作　　者：闫超 王红雨[1] 曹静[1] 亢文涛 李其星 YAN Chao;WANG Hongyu;CAO Jing;KANG Wentao;LI Qixing(School of Civil and Hydraulic Engineering,Ningxia University,Yinchuan 750021,China;Shandong Yellow River Reconnaissance Design and Research Institute Co.,Ltd.,Jinan 250033,China;Ningxia Power Transmission and Transformation Engineering Co.,Ltd.,Yinchuan 750001,China)

机构地区：[1]宁夏大学土木与水利工程学院,宁夏银川750021 [2]山东黄河勘测设计研究院有限公司,山东济南250033 [3]宁夏送变电工程有限公司,宁夏银川750001

出　　处：《武汉大学学报(工学版)》2025年第3期397-406,共10页Engineering Journal of Wuhan University

基　　金：国家自然科学基金项目(编号:41962016);妙岭750kV变电站科技进步项目(编号:SGNXSB00BDJS2100567)。

摘　　要：针对黄土高边坡天然水平分层和多级坡面的特点,构建了满足运动许可的2种破坏模式并推导出相应的功能平衡方程,采用强度折减技术进行边坡安全系数分析,并利用序列二次规划法进行边坡安全系数上限解寻优。以宁夏黄土丘陵地区妙岭750 kV变电站高边坡工程作为算例,进行安全系数上限解和影响因素的相关分析,同时利用极限分析有限元软件建立该工程高边坡数值模型,将模拟结果与边坡安全系数上限解进行了对比分析。结果表明:所构建破坏机制的上限解介于数值模拟上限解与下限解之间,优化后的上限解潜在危险滑移面与模拟结果相吻合;边坡安全系数分别与内摩擦角、台阶宽度近似呈线性变化,且随黏聚力比的增大而先增大后平稳;构建的2种机动许可破坏模式有各自的适用条件,否则会产生一定计算误差。Multistage slope excavation is often used to improve the stability of high slope engineering,but the stability analysis of heterogeneous multistage slope still needs further research.According to the characteristics of natural horizontal stratification and multistage slope of high slopes in loess,two failure modes satisfying the motion permit are constructed,and corresponding functional balance equations are derived.The slope safety factors are analyzed by using strength reduction technology,and the upper limit solutions of slope safety factors are optimized by using the sequential quadratic programming method.Taking the Miaoling 750 kV substation high slope project in loess hilly area of Ningxia as an example,the upper bound solutions of the safety factors and the correlation analysis of the influencing factors are carried out.At the same time,the numerical model of high slope of the project is established by using limit analysis finite element software,and the simulation results are compared with the upper bound solution in this paper.The results show that the upper bound solution of the constructed failure mechanism is between the upper limit and the lower limit of the numerical simulation results,and the potential dangerous slip plane of the optimized upper bound solution is consistent with the simulation results.The slope safety factor changes linearly with internal friction angle and step width respectively,and increases first and then becomes stable with the increase of cohesion ratio.The two kinds of motion permit destruction models constructed have their own applicable conditions,otherwise certain calculation errors will occur.

关 键 词：极限分析上限解 破坏机制 非均质地层 多级边坡 安全系数 

分 类 号：TU43[建筑科学—岩土工程]