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铁道科学与工程学报

JOURNAL OF RAILWAY SCIENCE AND ENGINEERING

第13卷    第1期    总第70期    2016年1月

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文章编号:1672-7029(2016)01-0055-08
考虑竖向地震效应的边坡地震永久位移计算图表
王曙光1,何光槐2,汤祖平3,王志斌4,赵炼恒5

(1.贵州省交通规划勘察设计研究院股份有限公司,贵州贵阳 550003;
2.中交第四航务工程局有限公司,广东广州 510290;
3.上海市政工程设计研究总院(集团)有限公司深圳分公司,广东深圳 518013;
4.湖南科技大学土木工程学院,湖南湘潭 411201;
5.中南大学土木工程学院,湖南长沙 410075
)

摘 要: 基于极限分析上限法和Newmark刚塑性滑块模型,推导考虑水平与竖向地震效应下,对数螺旋线型滑面边坡屈服加速度和边坡永久位移的计算公式;采用序列二次规划法编制非线性规划迭代程序对边坡地震永久位移计算模型进行优化求解,由此探讨竖向地震对边坡永久位移的影响规律。算例分析证明了本文方法的正确性。在此基础上,绘制边坡屈服加速度、位移系数以及4个典型地震加速度时程的2次积分图表,以便于边坡地震永久位移的查表计算。并给出具体算例,说明采用本文表格进行查表计算的流程。

 

关键字: 边坡;地震永久位移;竖向地震效应;Newmark法;极限分析上限法

Design tables of seismic permanent displacement for soil slope consideringthe vertical earthquake effect
WANG Shuguang1, HE guanghuai2, TANG Zuping3, WANG Zhibin4, ZHAO Lianheng5

1. Guizhou Transportation Planning Surver and Design Academy Co., Ltd, Guiyang 550003, China;
2. CCCC Fourth Harbor Engineering Co., Ltd., Guangzhou 510000, China;
3. Shanghai Municipal Engineering Design Intitute (Group) Co., Ltd - Shenzhen Branch, Shenzhen 518013, China;
4. School of Civil Engineering, Hunan University of Science and Technology, Xiangtan 411201, China;
5.School of Civil Engineering,Central South University, Changsha 410075, China

Abstract:The formulas of yield acceleration and permanent displacement of slopes against logarithmic spiral failure surface are deduced considering horizontal and vertical seismic effect based on upper bound limit analysis and Newmark rigid-plastic sliding block model. The nonlinear programming iteration procedure is compiled to calculate the optimal solution of slope seismic permanent displacement by adopting sequential quadratic programming, thus the influence rule of vertical earthquake on the slope permanent displacement is studied. Example analysis proves the correctness of this method. On this basis, graphs of yield acceleration, displacement coefficient and the two integral tables of four typical earthquake acceleration time history are drawn, which make it easy to get the seismic permanent displacement. And calculation process of adopting this article tables is illustrated by a specific example.

 

Key words: slope; seismic permanent displacement; vertical seismic effect; Newmark method; upper bound limit analysis

ISSN 1672-7029
CN 43-1423/U

主管:中华人民共和国教育部 主办:中南大学 中国铁道学会 承办:中南大学
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