二维边坡稳定性分析的最小势能法新解

摘要

针对最小势能法研究的不足,通过条块虚位移方向的静力平衡方程确定滑面上剪应力的解析解,构建了一种新的剪切势能计算模型.同时,提出了一种多地层边坡稳定性分析方法.算例结果表明:剪切势能对边坡稳定性系数会产生影响,使得计算结果更为合理;运用文中方法计算得到边坡稳定性系数与极限平衡法的结果较为一致,表明文中的计算方法是可行且合理的;文中多地层边坡的计算模型,考虑了土层滑面长度以及法向力对边坡抗剪强度的贡献,且计算简便,易于工程人员使用.%For insufficient of minimum potential energy method research, model of shear potential with static equilibrium equation of sliding body virtual displacement is proposed, which can solve shear strength on failure surface. Moreover, stability analysis method of multi layer slope is forwarded. Results of paper examples show that: shear potential energy of sliding mass can influence stability factor of slope, and it can obtain reasonable resupaper method is feasible and reasonable, which result from stability factor of proposed method is close to limit equilibrium method;analysis method of multi layer slope not only considers contribution of sliding surface length and normal force, but also it is simple and easy to be used by engineering.