随机多样复合形法及在边坡稳定分析中的应用

Random Diverse Complex Method and Its Application of the Slope Stability Analysis

针对基本复合形法对任意初始复形寻优成功率较低的缺陷,规定当前复形中与其他顶点相似程度最大的顶点为被替换点,目标函数值有所改善的替换点在被替换点与其余顶点中任意几个的中心点连线上寻找,替换后构成新的复形,如此不断迭代构成了随机多样复合形法.利用随机多样复合形法以及基本复合形法对两个复杂、非均质土坡的最小安全系数进行了搜索,比较结果证明了随机多样复合形法的较强全局搜索能力.

The ＂substituted design point＂ of the current complex is defined as the design point whose similarity degree to other design points is the maximum to avoid the low probability of global optimum found using the basic complex method for random generated initial complex.The ＂substituting design point＂ is located at the line through the ＂substituted design point＂ and the center of several design points random chosen from the rest design point except the ＂substituted design point＂.The ＂substituted design point＂ is replaced with the ＂substituting design point＂ thereby forming random diverse complex method and the method iterated as described above until the convergence to the optimum.The basic complex method and the random diverse complex method are adopted to locate the critical failure surface with the true minimum factor of safety of two non-homogeneous soil slopes.The comparison of results shows that random diverse complex method has stronger ability to find global optimum.