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针对任意形状滑裂面的均质边坡,通过定义主滑面确定滑裂面上剪切力的方向,考虑滑裂面上的剪切势能,提出一种基于最小势能原理的三维边坡稳定性分析方法。首先把滑体作为一个整体,建立三维势能函数,基于最小势能原理求出滑体虚位移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,按照安全系数的定义方式求得安全系数。通过与经典算例对比表明:该方法得出的安全系数与三维极限平衡法结果基本一致,且滑面上的剪切势能对安全系数有一定的影响。最后,工程实例的应用表明该方法具有较好的实用价值且无需划分条块及迭代,计算过程简洁,便于在工程实践中推广运用。
Aiming at the homogeneous slope with arbitrary shaped slip surface, the direction of shear force on the slip surface is defined by defining the main slip surface. Considering the shear potential energy on the slip surface, a three-dimensional slope stability based on the principle of minimum potential energy Sexual analysis method. First of all, the slide as a whole, the establishment of three-dimensional potential energy function, based on the principle of the minimum potential to calculate the imaginary displacement d. Then by the relationship between force and displacement, the normal force and the ultimate sliding resistance on the sliding surface are obtained, and the safety factor is obtained according to the definition of safety factor. The comparison with the classical example shows that the safety factor obtained by this method is basically the same as that of the three - dimensional limit equilibrium method, and the shear potential on the sliding surface has a certain influence on the safety factor. Finally, the application of engineering examples shows that the method has good practical value and no need to divide the blocks and iterations, the calculation process is simple, easy to promote the use of engineering practice.