含隧道边坡水平屈服加速度的上限分析  

Upper bound analysis of horizontal yield acceleration for a side slope containing tunnel

作　　者：江学良[1,2] 牛家永 杨慧[1,2] 王飞飞[1,2] JIANG Xueliang;NIU Jiayong;YANG Hui;WANG Feifei(School of Civil Engineering, Central South University of Forestry and Technology, Changsha 410004, China;Rock and Soil Engineering Research Institute, Central South University of Forestry and Technology, Changsha 410004, China)

机构地区：[1]中南林业科技大学土木工程与力学学院,长沙410004 [2]中南林业科技大学岩土工程研究所,长沙410004

出　　处：《振动与冲击》2019年第9期133-139,165,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金(51204215;51404309)

摘　　要：基于拟静力法和强度折减法,采用极限分析上限定理,推导了含隧道边坡在地震作用下的水平屈服加速度系数的上限解,该上限解考虑了隧道对边坡的影响。分别计算了边坡设计参数、岩土体的抗剪强度、浅埋偏压隧道设计参数等因素影响下边坡的水平屈服加速度系数极限值。根据正交试验法,给出了地震作用下含隧道边坡水平屈服加速度系数对各因素的敏感性大小。研究表明:边坡高度、坡角、岩土体黏聚力以及强度折减系数对水平屈服加速度系数的敏感性和影响程度均较大,而隧道距坡脚距离、隧道半径以及水平和竖向地震力比例系数的敏感性和影响程度则较小。Based on the pseudo-static method and the strength reduction technique, the upper bound theorem of limit analysis was used to derive the upper bound solution to the horizontal yield acceleration coefficient of a side slope containing tunnel under earthquakes considering effects of tunnel on the side slope. Limit values of the side slope’s yield acceleration coefficient were computed, respectively under influences of side slope design parameters, shear strength of rock and soil, and shallow buried bias tunnel’s design parameters. Sensitivity values of the side slope’s horizontal yield acceleration coefficient to various factors were deduced using the orthogonal test method. The results showed that sensitivity values of the side slope’s horizontal yield acceleration coefficient to slope height, slope angle, rock and soil cohesion, and strength reduction coefficient are larger and effects of these factors on the former are also larger;sensitivity values of the side slope’s horizontal yield acceleration coefficient to distance between tunnel and side slope foot, tunnel radius and proportional coefficient of horizontal seismic force to vertical one are smaller and effects of the three factors on the former are also smaller.

关 键 词：含隧道边坡 屈服加速度 极限分析上限定理 敏感性分析 拟静力法 

分 类 号：TU432[建筑科学—岩土工程]