岩质边坡稳定性时程分析下限法研究  

Lower limit method of time history analysis for dynamic stability of rock slopes

作　　者：陈瑜 张小艳[2] 许汉华 刘文连 李泽[1] CHEN Yu;ZHANG Xiaoyan;XU Hanhua;LIU Wenlian;LI Ze(Faculty of Civil Engineering and Mechanics,Kunming University of Science and Technology,Kunming 650500,China;Faculty of Electric Power Engineering,Kunming University of Science and Technology,Kunming 650500,China;Kunming Prospecting Design Institute of China Nonferrous Metals Industry Co.,Ltd.,Kunming 650051,China)

机构地区：[1]昆明理工大学建筑工程学院,云南昆明650500 [2]昆明理工大学电力工程学院,云南昆明650500 [3]中国有色金属工业昆明勘察设计研究院有限公司,云南昆明650051

出　　处：《水资源与水工程学报》2021年第2期217-224,共8页Journal of Water Resources and Water Engineering

基　　金：国家自然科学基金项目(51564026);昆明理工大学引进人才科研启动基金项目(KKSY201904006)。

摘　　要：基于动力学理论、塑性极限分析下限法理论、块体单元离散技术以及数学规划理论,提出了一种岩质边坡地震动力稳定性的时程分析下限法。首先使用块体单元离散岩质边坡,然后采用拟动力法原理计算块体单元形心的地震时程加速度,最终建立符合平衡方程、屈服条件、力边界条件的岩质边坡地震动力稳定性的线性数学规划模型,最后使用数学规划算法求解模型,获得地震作用下岩质边坡稳定性安全系数随时间的变化规律。相对于拟静力法只能得到单一的边坡安全系数值,本方法可以获得边坡安全系数的时程曲线和内力时程曲线。本方法概念明确、理论严谨、计算精度和效率高,可将其应用于岩质边坡的动力稳定性计算领域,为岩质边坡的抗震设计提供参考。Based on the dynamics theory,the lower limit method of plastic limit analysis,the block element discrete technique and the mathematical programming theory,a lower limit method of time history analysis for the seismic dynamic stability of rock slopes is proposed in this paper.With this method,block unit is used to discrete a rock slope,and then seismic time history acceleration of its centroid is calculated using the pseudo-dynamic principle.Finally,a linear mathematical programming model of seismic dynamic stability is established according to the balance equation,the yield condition and force boundary conditions of the rock slope.The mathematical programming algorithm is adopted to solve the model,and the variation of safety coefficient of rock slope stability under the action of earthquakes over time is obtained.Compared with the pseudo-static method,which can only produce single value of slope safety coefficient,this method can provide both the time history curve and internal force time history curve of slope safety coefficient.This method has clear definition,is theoretically sound with high calculation accuracy and efficiency.It can be applied to the calculation of dynamic stability of rock slopes,providing reference for seismic design of rock slopes.

关 键 词：岩质边坡 地震加速度 动力稳定性 安全系数 时程分析法 

分 类 号：TV457[水利工程—水工结构工程]