基于有限元的重力坝抗滑稳定静动力可靠度快速求解方法  

Fast Solution Method for Static and Dynamic Reliability of Gravity Dam Anti-sliding Stability Based on Finite Element Method

作　　者：刘银勇 林潮宁 刘晓青[1] 杜效鹄[2] 周兴波 LIU Yinyong;LIN Chaoning;LIU Xiaoqing;DU Xiaohu;ZHOU Xingbo(College of Water Conservancy&Hydropower Engineering,Hohai Univ.,Nanjing 210098,China;China Renewable Energy Engineering Institute,Beijing 100120,China)

机构地区：[1]河海大学水利水电学院,南京210098 [2]水电水利规划设计总院,北京100120

出　　处：《三峡大学学报（自然科学版）》2023年第6期8-13,共6页Journal of China Three Gorges University：Natural Sciences

基　　金：国家重点研发计划(2022YFC3005403);国家自然科学基金(52309151);水利部水库大坝安全重点实验室开放研究基金(YK323007);中国电建集团科技项目(DJ-ZDXM-2021-10);江苏省卓越博士后计划(2022ZB191)。

摘　　要：重力坝的抗滑稳定是重力坝工程能够安全运行的关键,其抗滑稳定的可靠度研究是当前水利工程领域的重要研究课题.为了解决采用蒙特卡罗法求解可靠指标时计算效率低、采用响应面法时求解精度不高问题,本文提出一种基于有限元的改进一次二阶矩法进行重力坝抗滑稳定可靠度计算.首先,将坝基岩体抗剪断强度参数视为随机变量,定义功能函数为抗滑稳定极限平衡状态下阻滑力与滑动力的差值,在极限平衡状态条件下推导了功能函数中随机变量的偏导数;然后考虑地震荷载作用的随机性,采用基于全概率公式的数值拟合积分方法计算抗滑稳定静动力可靠指标并将此方法应用于某重力坝工程的抗滑稳定分析中.研究结果表明,该方法在保证计算精度的情况下具有更高的求解效率和收敛速度,故可为类似工程的抗滑稳定静动力可靠度分析提供方法借鉴.The anti-sliding stability of gravity dam is the key to the safe operation of gravity dam project,and the reliability research of its anti-sliding stability is an important research topic in the field of hydraulic engineering at present.In order to solve the problems of low calculation efficiency of Monte Carlo method in calculating reliability index and low accuracy of response surface method,an advanced first-order second-moment method based on finite element is proposed to calculate the reliability of gravity dam anti-sliding stability.Firstly,the shear strength parameters of dam foundation rock mass are regarded as random variables,and the functional function is defined as the difference between the anti-sliding force and the sliding force under the ultimate equilibrium state of anti-sliding stability.The partial derivatives of random variables in the functional function are derived under the limit equilibrium state.Secondly,considering the randomness of seismic load,the static and dynamic reliability index of anti-sliding stability is calculated by using the numerical fitting integral method based on the full probability formula,and this method is applied to the anti-sliding stability analysis of a gravity dam project.The research results show that this method has higher solving efficiency and convergence speed under the condition of ensuring the calculation accuracy,so it can provide a reference for the static and dynamic reliability analysis of anti-sliding stability of similar projects.

关 键 词：重力坝 抗滑稳定 改进一次二阶矩法 地震荷载 动力可靠度 

分 类 号：TV642.3[水利工程—水利水电工程]