滑移线积分变换在土坡稳定性中的应用

长江科学院院报 ›› 2010, Vol. 27 ›› Issue (8): 54-57.

滑移线积分变换在土坡稳定性中的应用

王军_¹ ，曹平_²

1. 湖南工程学院建筑工程学院，湘潭 411104 ； 2. 中南大学资源与安全工程学院，长沙 410083

出版日期:2010-08-01 发布日期:2010-08-01

Application of Integral Transformation to Slip Line in Soil Slope Stability

WANG Jun_¹ , CAO Ping_²

1. College of Architecture Engineering, Hunan Institute of Engineering, Xiangtan 411104, China ； 2.School of Resources and Safety Engineering, Central South University, Changsha 410083, China

Published:2010-08-01 Online:2010-08-01

摘要/Abstract

摘要： 根据边坡变形潜在滑体势能变换的特点，用 Bishop 法、耗散能法和有限单元法分别对双层和 3 层土质边坡进行了稳定性分析。首先通过对边坡滑移线积分公式的转化和推导，建立了以势能耗散能量表示的改进极限平衡法求解安全系数的计算式。结合平面应变两类型边坡算例分析，并利用 VC ＋＋程序语言编制简易的安全系数和滑移线方程的求解程序，对双层和 3 层土质边坡稳定性进行计算分析。计算结果显示：耗散能法得到的潜在滑移线解析式满足指数方程，且在层面附近间断； Bishop 法得到的潜在滑移线经过坡脚，其解析式满足圆方程；耗散能法所得安全系数介于 Bishop 法和有限元法之间，为研究边坡稳定性和工程加固的合理范围提供了借鉴，这对极限平衡法求解边坡稳定性也是一种有益的补充。

关键词: 边坡工程 , 耗散能法 , 安全系数 , 积分变换

Abstract: From the character of energy transformation on slope sliding curve, the stability analysis on double-and three-layer soil slope is calculated in order to take in energy dissipation method gaining an advantage over other calculated methods, including Bishop method and finite element method. Through the derivation of integral transform on slip line ,the safety factor formula is built based on modified limit equilibrium method to sliding curve, and the slip line formula is also obtained by limit safety factor value on differential coefficient of the slope safety factor equation. The slope examples on 2D strain are cited to validate the reliability on energy dissipation method. The WJED program for calculating safety factor and sliding line equation is firstly applied to evaluate stability for double-and three-layer soil slopes. The results show the parse formula for latent sliding curve accords with exponential equation for energy dissipation method and coincides with circle equation for Bishop method. Simultaneously, the safety factor for energy dissipation is one between two values obtained from Bishop method and finite difference method respectively. The experience on slope reinforcement engineering and its stability is obtained and the energy dissipation method is a supplement in the limit equilibrium method.

Key words: slope engineering , energy dissipation method , safety factor , integral transformation

中图分类号:

TU441.35

王军，曹平 . 滑移线积分变换在土坡稳定性中的应用[J]. 长江科学院院报, 2010, 27(8): 54-57.

WANG Jun , CAO Ping . Application of Integral Transformation to Slip Line in Soil Slope Stability[J]. Journal of Changjiang River Scientific Research Institute, 2010, 27(8): 54-57.