边坡稳定分析的最小势能法与极限平衡法的对比研究

The Contrast Between MPE Method and Limited Equilibrium Method in Stability Analysis of Slope

最小势能边坡稳定分析方法依据稳定平衡体系势能最小的原理,从整个边坡的势能变化求得一个满足势能最小的位移,据此直接求出滑面上的法向应力分布,再利用平衡条件和摩尔-库仑强度准则便可直接得到安全系数.此方法概念简单明了,结果可信.本文将最小势能方法和常见的极限平衡法作了详细的对比研究和误差分析.计算表明,最小势能方法和严格条分法的误差在3%之内,证明了该法的可行性.

The minimum potential energy method （MPE） in stability analysis of slope is based on the principle that the equilibrium system potential energy should be the minimum. A small displacement can be obtained and the normal stress distribution along the sliding surface can be achieved. For uniform slope, the safety factor can be got directly with the consideration of equilibrium conditions and the Mol-Coloumb intensity rule. The result of test demonstrates the validity of this method. The error between these two kinds of method is from 2% to 3 %.