水利水电技术2018，Vol.49Issue(4)：117-122,6.DOI:10.13928/j.cnki.wrahe.2018.04.017
基于突变理论的边坡安全系数自动搜索方法及应用分析
Catastrophe theory-based automatic search method for slope safety factor and analysis on its application
摘要
Abstract
In order to solve the problems of large amount and strong subjectivity of the numerical calculation on searching the catastrophe point of the relationship curve between the strength reduction factor and the slope displacement,an automatic search method for the slope safety factor is proposed herein based on the cusp catastrophe theory,and then the calculation program suitable for the automatic search of slope safety factor is developed by taking Fortran language and the numerical calculation software of FLAC 3D as the platform.This method is applied to the study on the stabilities of the actual cases,in which the differences among the safety factors obtained from all the judging criteria concerned are discussed,while an analytical comparison is made with the safety factor calculated by limit equilibrium method.The result shows that the calculation program for the automatic search of slope safety factor can quickly and quantitively find out the catastrophe point of the critical stability of slope,thus enhances the correctness and calculation efficiency of the slope stability analysis,from which the error of the calculation result is less in the comparison with that obtained from the limit equilibrium method recommended by the relevant slope engineering criteria,while the location of the sliding plane obtained from limit equilibrium method is basically coincided with the corresponding slope;reserve safety factor;strength reduction method;cusp catastrophe theory;automatic searchplastic penetrated area under the safety factor got from that method.The method proposed herein provides a beneficial reference for the qualitative evaluation of slope stability.关键词
边坡/储备安全系数/强度折减法/尖点突变理论/自动搜索Key words
slope/reserve safety factor/strength reduction method/cusp catastrophe theory/automatic search分类
建筑与水利引用本文复制引用
戴妙林,李强伟,刘晓青,屈佳乐,马永志..基于突变理论的边坡安全系数自动搜索方法及应用分析[J].水利水电技术,2018,49(4):117-122,6.基金项目
水利部公益性行业科研专项经费项目“土石坝长效安全运行重大关键技术研究”(201501033) （201501033）
