Slope Reliability Analysis Based On The Chance Constrained Programming

The stability analysis of slope is a key problem in engineering, and the limit equilibrium analysis is one of the most widely applied methods, and it has many advantages such as simple and long time of practice. As the same time, people pay more and more attention to reliability analysis, due to uncertain environment of slope. At present, the main reliability analysis of slop is two steps, the determining of the most dangerous sliding plane, and reliability analysis based on the determined sliding plane. So the traditional reliability analysis is uncertainty analysis that based on certain sliding surface. In this view, there are some unreasonable things in the traditional reliability. In this thesis, a method that contains the influence of uncertain environment is trying to find out in the determined of the most dangerous sliding plane.First of all, the limit equilibrium theory is summarized and the formula of limit equilibrium method is deduced with the Janbu method as an example in this thesis, the influence of groundwater on the slope stability also analyzed. The author writes the corresponding programs to analyse the relevant calculation with the Matlab system, and analyzed the calculation process parameters to verify the accuracy and rationality of the program, and also analyzed the influence of soil parameters on slope stability.Then, genetic algorithm is used to search the most dangerous sliding plane. This paper analyzed the genetic algorithm calculation process of the most dangerous sliding plane search and the establishment of calculation model. On this basis, some specific instances are analyzed, and the influence of the relevant parameters selection on the genetic algorithm accuracy and reasonableness.Finally, the principle of chance constrained programming is introduced to consider the corresponding uncertainty on the sliding plane search in the search calculation process of slope most dangerous sliding surface search calculation process. And the calculation results of conventional slope genetic algorithm model and genetic algorithm model based on chance constrained programming were compared.In this thesis, some research of the limit equilibrium theory and slope genetic algorithm is carried out based on Programming calculation, and some useful conclusions are drawn, and chance constrained programming is introduced to improve the slope genetic algorithm. A valuable reference will be provided for further research in this field.