含隧道边坡水平屈服加速度的上限分析

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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、岩土体粘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。

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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

Abstract：According to the fundamental theory of upper bound theorem of limit analysis based on pseudo-static method and strength reduction technique, the upper bound solution of the horizontal yield acceleration coefficient of slope with tunnel was deduced rigorously after taking the influence of tunnel on slope into consideration. The limit values of yield acceleration coefficient of slope with tunnel under the influences of the design parameters of the slope, the shear strength of the rock and soil, and the design parameters of the shallow-embedded bias tunnel were calculated. The influence factors sensitivity of horizontal yield acceleration coefficient of slope with tunnel were given using the orthogonal experiment method. The results indicate that the four factors such as the height of slope, the slope angle, the cohesion, and the strength reduction factor are the key factors that having greater sensitivities and influences on the horizontal yield acceleration coefficient, but the sensitivities and influences of the distance between the tunnel and the slope foot, the tunnel radius and the coefficient of seismic force are relatively small.

Key words： slope with tunnel yield acceleration upper bound theorem of limit analysis orthogonal experiment pseudo-static method

收稿日期: 2017-12-04 出版日期: 2019-04-28

引用本文:

江学良1,2，牛家永1,2，杨慧1,2，王飞飞1,2. 含隧道边坡水平屈服加速度的上限分析[J]. 振动与冲击, 2019, 38(9): 133-139.
JIANG Xueliang1,2, NIU Jiayong1,2, YANG Hui1,2, WANG Feifei1,2. Upper bound analysis of horizontal yield acceleration for a side slope containing tunnel. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(9): 133-139.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2019/V38/I9/133

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