基于拟动力下限法的地震作用下岩质边坡稳定性分析  

Stability Analysis of Rock Slope Under Seismic Force Based on Pseudo-dynamic Lower Bound Method

作　　者：刘诚 刘文连 彭普 许汉华 LIU Cheng;LIU Wen-lian;PENG Pu;XU Han-hua(School of Civil 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]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：《水电能源科学》2022年第4期129-132,103,共5页Water Resources and Power

基　　金：国家自然科学基金项目(12162018);昆明理工大学引进人才科研启动基金项目(KKSY201904006)。

摘　　要：鉴于拟动力法可考虑地震波在岩质边坡中传播的时间效应,在地震作用下对块体进行稳定计算具有优势,将岩质边坡离散成块体单元,将地震波假设为简谐波,利用拟动力法原理计算块体单元的地震惯性力,分析地震作用下块体的受力情况,根据下限法原理建立目标方程、建立地震作用下岩块的动力平衡方程和结构面的屈服条件,从而构建基于拟动力下限法的地震力作用下岩质边坡稳定性的函数规划模型,并使用系列二次规划算法循环求解模型,获得地震作用下岩质边坡稳定性安全系数与时间的关系曲线。结果表明,本文方法合理有效,可供参考。In view of the fact that the pseudo-dynamic method can take into account the time effect of seismic wave propagation in the rock slope,it is advantageous to calculate the stability of the block under seismic action.The rock slope is discretized into block element,the seismic waves are assumed to be simple harmonics.The seismic inertial force of the block element is calculated by the principle of the pseudo-dynamic method,and the force of the block under the action of the earthquake is analyzed.The target function is established according to the principle of the lower limit method.The dynamic balance equation of the rock block and the yield condition of the structural plane are established under the action of the earthquake.Thus,establish the pseudo-dynamic lowerbound method function programming model of the stability of the rock slope is established under the action of earthquake force.A series of quadratic programming algorithms are used to cyclically solve the model.The relationship curve between the safety factor and time of rock slope stability is obtained.The results show that the method is reasonable and effective,which is available for reference.

关 键 词：岩质边坡 地震作用 拟动力法 安全系数 

分 类 号：TU457[建筑科学—岩土工程] TV223[建筑科学—土工工程]