基于拉格朗日乘数法的边坡稳定性变分法

Variational Method of Slope Stability Based on Lagrange Multiplier Method

以简单均质土坡为研究对象,通过改进毕肖甫圆弧条分法,即基于拉格朗日乘数法的变分方法,并使得土条间传递的水平内力等于零,计算出每一土条的安全系数Fsi,再利用多滑块体系安全系数的重量加权平均原则,求解滑动土体的整体安全系数,以为边坡的稳定性评价提供依据。

The simple homogeneous slope was used as the research object to improve Bishop circular slice method. Based on Lagrange multiplier method and the variational method, the horizontal force of soil slices was made equal to zero. Then stability coefficient of each soil slice was calculated. Finally, the principle of weight weighted average of sliding factors was used to solve the whole stability coefficient of the slope.