土工格栅加筋边坡最小势能稳定性分析方法

Stability Analysis Method of Minimum Potential Energy for Geogrid-reinforced Slope

对于一些安全系数较低的边坡,需对其进行加筋处理,然而目前常用的加筋边坡稳定性计算方法较为繁杂。为此,基于最小势能原理,针对土工格栅加筋边坡,引入格栅变形势能与摩擦势能概念构建系统势能函数,并求解滑体的虚位移d→,然后通过力与位移的关系得到滑裂面上的法向力和极限抗滑力,继而求得安全系数,最后通过算例与其他边坡稳定性分析方法计算结果对比验证该方法的合理性。结果表明:该方法是合理可行的;随着土工格栅长度或加筋层数的变化,其安全系数变化的趋势符合传统极限平衡法与工程实际情况。该方法无需划分条块,无需迭代,计算量小,便于在实际工程中使用。

Some slopes with low safety factors need to be reinforced.However,the commonly used methods for calculating the stability of reinforced slopes are complicated.For this reason,based on the principle of minimum potential energy,this paper introduces the concepts of grid deformation potential energy and friction potential energy to construct the system potential energy function for geogrid-reinforced slopes,and calculates the virtual displacement of the sliding body.Then,the sliding body is obtained through the relationship between force and displacement.The normal force and the ultimate anti-sliding force on the crack surface are then obtained,and the safety factor is obtained.Finally,a calculation example is compared with the calculation results of other slope stability analysis methods to verify the rationality of the method.The results show that the method is reasonable and feasible;with the change of the length or number of layers of the geogrid the trend of the safety factor is in line with the traditional limit equilibrium method and the actual engineering situation.This method does not need to be divided into blocks,does not need to be iterated,has a small amount of calculation,and is convenient for use in actual projects.