基于DE算法的重力坝坝基多斜面抗滑稳定可靠度研究

Reliability Analysis on the Anti-sliding Stability of Gravity Dam Multi-slope Foundation Based on Differential Evolution Algorithm

根据可靠指标的几何涵义可将可靠度计算问题作为求极小值的优化问题求解,借此引入改进的差分进化(DE)算法对某重力坝多斜面的抗滑稳定可靠指标进行计算。工程实例研究及随机参数敏感性分析表明,与工程中通常采用的蒙特卡洛(MC)方法相比,该方法的计算结果合理且效率较高,可处理可靠度计算中极限状态方程为复杂隐式非线性方程组的情况,为重力坝可靠度分析提供了新的有效的计算方法。

Based on the geometry significance of reliability index,the solution of reliability can be converted to the optimization of minimum problem.Based on above,the improved differential evolution(DE)algorithm is introduced to calculate the reliability index of the multi-slope foundation of a gravity dam.The engineering case and the sensitivity analysis of random parameters show that the results of this method are more reasonable and efficient compared with the Monte Carlo(MC)method commonly used in engineering.The DE method can deal with the case that the limit state equation is complex implicit nonlinear equations in reliability calculation,and provide a new and effective method for the reliability analysis of gravity dam.