摘要
为减少或最大程度地消除边坡稳定分析中的不确定性,研究了起源于不确定性的工程结构可靠度理论,并分析了其基本原理。从边坡稳定性分析的特征出发,类比结构可靠性分析方法,建议分别使用两种适用于边坡稳定及可靠性分析的状态方程以研究功能函数形式对边坡可靠性分析的影响。然后,对结构可靠性分析中常用的蒙特卡洛模拟法、一次二阶矩中心点法和罗森布鲁斯法的基本原理及应用特点进行了研究。最后,基于边坡稳定性分析的平滑动面法,分别运用三种可靠性分析方法对实例边坡在不同应力状态下的可靠度及稳定系数均值进行了计算分析。分析结果表明:蒙特卡洛法、一次二阶矩中心点法和罗森布鲁斯法计算的边坡可靠度能够较好地描述不同应力状态下实例边坡的可靠性与稳定性的变化规律;其中,罗森布鲁斯法基于安全系数功能函数计算的可靠度值最小。
In order to reduce or mostly eliminate the uncertainty in the analysis of slope stability,the reliability theory of engineering structure originated from uncertainty is studied and its basic principle is analyzed.Secondly,based on the characteristics of the stability analysis of slope and analogy to structure reliability analysis method,two kinds of state equations suitable for the stability and reliability analysis of slope are suggested to be used in researching the influence of the form of performance function on the reliability analysis of slope.Then,the basic principles and application characteristics of Monte Carlo method(MCM),first order second moment center point method(CPM)and Rosenblueth method(RM)often used in structural reliability analysis are researched.Finally,based on the method with flat slip surface for slope stability analysis,three kinds of reliability analysis methods are used to calculate and analyze the reliability and mean value of stability coefficient of an example slope under different stress states.The analysis results indicate that the slope reliability calculated by Monte Carlo method(MCM),first order second moment center point method(CPM)and Rosenblueth method(RM)can describe the change law of reliability and stability of the slope under different stress states;and the reliability value calculated by Rosenblueth method(RM)based on the safety coefficient function is the smallest.
作者
张凌晨
白建强
侯瑞凯
卿菁
卢应发
ZHANG Lingchen;BAI Jianqiang;HOU Ruikai;QING Jing;LU Yingfa(School of Civil Engineering,Architecture and Environment,Hubei Univ.of Tech.,Wuhan 430068,China;The 7th Engin.Co.,Ltd.,China Railway Major Bridge Engin.Group,Wuhan 430050,China;Institute of Earthquake Engineering,Dalian Univ.of Tech.,Dalian 116024,China)
出处
《湖北工业大学学报》
2021年第1期94-99,共6页
Journal of Hubei University of Technology
基金
国家自然科学基金(41372363,41641027)
三峡后续工作地质灾害防治项目(0001212015CC60005)
湖北省科技厅自然科学基金项目(2017ACA188)。
关键词
边坡
可靠度理论
蒙特卡洛法
一次二阶矩中心点法
罗森布鲁斯法
slope
reliability theory
Monte Carlo method
first order second moment center point method
Rosenbluth method
