保持顶点多样性的复合形法及其在边坡稳定分析中的应用

针对基本复合形法全局搜索能力不强的缺陷,改进了基本复合形法的寻优方法。在关于各个顶点的寻优直线上分别找出比各个顶点优异的点并替换掉各顶点构成多个新复形,并以各个复合形中心点到各个顶点的海明距离之和为中心距指标,找出最大中心距的复形为下一次迭代之新复形。依次迭代,直到没有新的复形产生。通过对两个复杂边坡最小安全系数的搜索,发现本文新复合形法的全局搜索能力有较大提高。

Complex method based on the maintenance of the diversity of the apex and its application to the slope stability analysis

The search approach of the basic complex method is modified to avoid the false optimum solution that might occur.The modified search approach is as follows: each design point is viewed as "bad" design point and is reflected to yield the better design point than the "bad" design point,a new complex is generated by replacing the "bad" design point with the better design point.There are altogether several or one new complex,the one whose diversity is strong is chosen to be the original complex for the next iteration.The method continues until the stopping criterion is met,thereby defining the new complex method.The new complex method is applied to the search for the minimum factor of safety of two soil slopes,the result has shown that the new complex method has the ability to find the true minimum to a large extent.