CAJ | 학술논문

基坑开挖将诱发不同程度的地面沉降.利用分离变量法求解平面应变问题的位移平衡方程通解,并将基坑挡墙变位视为已知的位移边界,以揭示不同挡墙变形所诱发的墙后地表沉降规律.首先以墙体平移和绕墙趾刚性转动2种基本位移模式作为基本解,通过叠加原理进而得到绕墙顶刚性转动和三角形鼓胀位移的解析.分析表明,平移和绕墙脚转动的位移模式下,墙后地表沉降为向上拱曲形态,最大沉降紧靠墙背处,而当墙体绕墙顶转动和向外三角形变位时,墙后地表沉降为向下凹槽形态,最大沉降处在距墙背一定距离的某一位置,这与既有的经典方法预测相一致.最后,将墙后沉降曲线与既有弹塑性分析及软土地基的现场监测作对比,验证解析方法的合理性.
기갱개알장유발불동정도적지면침강.이용분리변량법구해평면응변문제적위이평형방정통해,병장기갱당장변위시위이지적위이변계,이게시불동당장변형소유발적장후지표침강규률.수선이장체평이화요장지강성전동2충기본위이모식작위기본해,통과첩가원리진이득도요장정강성전동화삼각형고창위이적해석.분석표명,평이화요장각전동적위이모식하,장후지표침강위향상공곡형태,최대침강긴고장배처,이당장체요장정전동화향외삼각형변위시,장후지표침강위향하요조형태,최대침강처재거장배일정거리적모일위치,저여기유적경전방법예측상일치.최후,장장후침강곡선여기유탄소성분석급연토지기적현장감측작대비,험증해석방법적합이성.
Excavation always induces a certain degree of ground settlement. Using separation of variable methods (SVM) to solve partial differential equations of plain strain problem,in which the movements of retaining wall are assumed as the given displacement boundary. The present theoretical solution is attempted to show the relation between the wall movement and the induced ground settlement. Firstly,the solutions to the induced ground settlement are given for two basic cases,i.e. wall translation and rotation about toe. The two other solutions to rotation about top and triangle-bugling movement can be available based on two basic solutions. The translation of wall tends to cause a spandrel-type settlement profile in which maximum surface settlement occurs at the position close to the wall back. The rotation of wall about toe causes a concave-type settlement profile,in which maximum surface settlement occurs at some position away from the wall back. The present curve of surface settlement agrees with that by the classical empirical methods. Finally,comparisons between the present method and elasto-plastic FEM and in-situ measured data in soft soils,have illustrated the validity of this analytical solution.