三级边坡稳定性分析的机动方法

三级边坡与普通边坡相比,可以在保证坡度的条件下提高边坡的稳定性,可以减少工程占地面积,具有广泛的环境效益和经济效益,在实际工程中有着广泛的应用.基于极限分析上限法建立了三级边坡的破坏机构,推导了三级边坡的外部做功功率及内部耗损率平衡方程,求出三级边坡临界高度的表达式.采用序列二次规划算法对其临界高度进行优化,求出三级边坡的一个上限解.将本文的计算结果与前人研究成果进行对比,验证了该方法的有效性.

Stability Analysis of Three-steps Slope by Kinematical Approach

Compared with the common slope,three steps slope,which has widespread economic and environmental benefits and is widely used in engineering application,can improve the stability without reducing slope rate.The stability of three steps slope was analyzed on the basis of limit analysis.The failure mechanism of such slope was conducted by upper bound theorem and the work rate and internal energy dissipation was derived.The optimal solution of Hcrwas obtained.The effectiveness of presented method agreed well with previous achievements.