基于可靠度的圆弧滑动边坡经济风险分析模型优化方法

边坡工程的设计和治理所需要考虑的成本和安全因素存在广泛的不确定性.为了使边坡工程的安全性问题和经济性问题得到较好的统一,用费用-效益分析方法,以最小总期望造价为目标函数,以坡型、坡比为设计变量,以边坡稳定性可靠度指标为主要约束条件,建立了圆弧滑动边坡的经济风险分析模型.以Bishop法为基础,利用MATLAB遗传算法工具箱实现最危险圆弧滑动的搜索.并基于可靠度编写了圆弧滑动边坡工程设计优化的MATLAB程序.通过工程实例研究,应用该方法能获得最优坡比和坡型设计方案,并且程序运算速度快、精度高,有一定的实用价值.

Study of Economical Risk Analysis Model and Intelligent Optimization Methods for Circular Sliding Slopes Based on the Reliability

Because of the extensive uncertainties of the cost and safety factors in slope engineering design and treatment,in order to make the security and economical problems obtain better unification,the economical risk analysis model of the soil slope was established,by using a cost-benefit analysis method,taking the minimum total expected cost as the objective function,using the slope-type and slope-ratio as design variables and the reliability index of the slope stability as the main constraint conditions.Based on the Bishop method,the most dangerous circle sliding surface with the genetic algorithm toolbox of MATLAB was searched.A MATLAB program for optimization design of the circular sliding slopes engineering was compiled based on reliability.Through practical project research,the method was used to design the slope engineering,and the optimum slope-type and slope-ratio were obtained.The result shows that the program has good stability,high computational speed,high precision and practical value.