一类新复合形法及其在临界滑动面搜索中的应用

A new kind of complex method and its application to the search for the critical failure surface

针对广泛采用的基本复合形法存在着搜索不完全、映射系数取值不灵活、复形多样性保持差等缺陷,提出了相应的改进措施,如动态全域映射收缩算子以及最大冗余点映射准则,形成了一类新型的复合形法。在确定冗余点时综合考虑了距离空间和目标函数值两方面的信息。通过对某复杂土坡的最危险滑动面的搜索表明,新型复合形法的寻优成功率比基本复合形法大大提高。

Aimed at several disadvantages such as partial search, the fixedness of the value of reflection factor and the ignorance of the complex diversity in the approach of the basic complex method, the corresponding improvements upon the above disadvantages defined as dynamic full reflection and retraction operator and the rule of most redundant design point to be reflected are presented. Not only the information of the design space but also the objective function value is utilized to determine the redundant design point. The basic complex method and the new kind of complex method are respectively employed to locate the critical failure surface with true minimum factor of safety of non-homogeneous soil slope , and the comparison of the results has shown that the percent of successful run of the new complex method is higher than that of the basic complex method.