地震作用下锚固土质边坡稳定性解析

年廷凯; 刘凯; 黄润秋; 张彦君; 王亮

doi:10.11779/CJGE201611010

地震作用下锚固土质边坡稳定性解析 English Version

年廷凯^{1, 2},
刘凯^{1, 3},
黄润秋²,
张彦君¹,
王亮¹

1. 大连理工大学土木工程学院及海岸和近海工程国家重点实验室,辽宁大连 116024;
2. 成都理工大学地质灾害防治与地质环境保护国家重点实验室, 四川成都 610059;
3. 中国电力工程顾问集团中南电力设计院有限公司,湖北武汉 430071

基金项目: 国家自然科学基金项目（51179022,51579032）; 地质灾害防治与地质环境保护国家重点实验室基金项目（SKLGP2010K005）

详细信息

作者简介:
年廷凯(1971- ),男,教授,博士生导师,主要从事岩土体稳定性与加固技术、海洋工程地质灾害与防护技术方面的科研和教学工作。E-mail: tknian@dlut.edu.cn。

计量
- 文章访问数: 0302
- HTML全文浏览量: 0
- PDF下载量: 0366
出版历程
- 收稿日期: 2015-08-27
- 发布日期: 2016-11-19

Solutions for stability of anchored earth slopes subjected to seismic loading

1. School of Civil Engineering and the State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology, Dalian 116024, China;
2. State Key Laboratory of Geohazard Prevention and Geoenvironmental Protection, Chengdu University of Technology, Chengdu 610059, China;
3. Central Southern China Electric Power Design Institute Co., Ltd. of China Power Engineering Consulting Group, Wuhan 430071, China

摘要

摘要: 极限分析上限方法在边坡地震稳定性评价中受到了广泛关注,但已有研究成果均针对某一类具体边坡,获得的解析解往往不具有普遍适用性。以上限定理为基础,基于组合对数螺线的旋转破坏机制,采用拟静力法,推导了具有任意坡面几何特征、任意土层分布和多排锚加固的复杂边坡外功率与内能耗散率平衡方程。在此基础上,结合强度折减技术和最优化方法,提出了地震作用下多排锚加固复杂边坡的稳定性安全系数和屈服加速度系数解析式,并结合Newmark法求解了边坡的永久位移,发展了锚固土质边坡地震稳定性的通用极限分析上限方法。通过典型算例验证与对比分析,表明本文方法具有较高的精度和广泛的适用性,最后将这一方法应用于实际工程。
- 锚固边坡 /
- 复杂土坡 /
- 屈服加速度系数 /
- 地震永久位移 /
- 极限分析
Abstract: The limit analysis approach is paid more attention to in the stability analysis of slopes subjected to seismic loading. However, the solutions obtained from the approaches are in general limited to a designated slope or the same kind of slopes. It seems that a wide applicability of the solutions in their present form is rather difficult. Based on the kinematic theorem and the assumption of combined log-spiral rotational failure mechanism, the integral formulation for expressing the rate of external work rate due to soil weight and seismic loading is derived under the framework of pseudo-static method considering the complex geometrical configurations and the multilayer soils in slopes with multi-row anchors. Further, the work-energy balance equation is established, and the analytical expressions for the global factors of safety (FS) and the yield acceleration coefficient of anchored slopes are obtained by using the strength reduction technique combined with the optimization method. Moreover, the permanent displacement with Newmark's method is also solved. Several representative examples are employed to validate the analytical solutions, and some comparisons of the FSs and the corresponding critical sliding surfaces obtained by various methods are also made. The results show that the analytical approach can yield the high-accuracy solutions and is widely applicable to the seismic stability analysis of complex slopes with multi-row anchors. Finally, a practical case is analyzed using the proposed approach.
- anchored slope /
- complex earth slope /
- yield acceleration coefficient /
- seismic permanent displacement /
- limit analysis

HTML全文

参考文献(23)

[1]	郝建斌. 地震作用下边坡稳定性研究进展[J]. 世界地震工程, 2014, 30(1): 145-153. (HAO Jian-bin. Progress of research on stability of slope subjected to seismic excitation[J]. World Earthquake Engineering, 2014, 30(1): 145-153. (in Chinese))
[2]	郑静, 李明, 苏俊霞, 等. 地震引发边坡病害的变形破坏模式研究[J]. 铁道工程学报, 2013(9): 7-14. (ZHENG Jing, LI Ming, SU Jun-xia, et al. Research on deformation failure mode of slope diseases caused by earthquake[J]. Journal of Railway Engineering Society, 2013(9): 7-14. (in Chinese))
[3]	陈祖煜. 土质边坡稳定分析–原理·方法·程序[M]. 北京: 中国水利水电出版社, 2003. (CHEN Zu-yu. Soil slope stability analysis: theory, methods and prograus[M]. Bejing: China Water Power Press, 2003. (in Chinese))
[4]	CHEN W F. Limit analysis and soil plasticity[M]. New York: Elsevier, 1975.
[5]	吴世明, 张显杰, 陈龙珠. 土坡稳定的非线性极限分析[J]. 岩土工程学报, 1987, 9(6): 27-38. (WU Shi-ming, ZHANG Xian-jie, CHEN Long-zhu. Limit analysis of slope stability with non-linear failure criterion[J]. Chinese Journal of Geotechnical Engineering, 1987, 9(6): 27-38. (in Chinese))
[6]	CHANG C J, CHEN W F, YAO J T P. Seismic displacement in slopes by limit analysis[J]. Journal of Geotechnical Engineering, 1984, 110(7): 860-874.
[7]	MICHALOWSKI R L, YOU L Z. Displacement of reinforced slopes subjected seismic loads[J]. Journal of Geotechnical and Geoenvironmental Engineering, 2000, 126(8): 685-694.
[8]	年廷凯, 栾茂田, 杨庆. 考虑地震效应的阻滑桩加固土坡分析方法[J]. 大连理工大学学报, 2007, 47(5): 718-722. (NIAN Ting-kai, LUAN Mao-tian, YANG Qing. Simplified analytical procedure of stabilizing piles against sliding considering earthquake[J]. Journal of Dalian University of Technology, 2007, 47(5): 718-722. (in Chinese))
[9]	董建华, 朱彦鹏. 地震作用下土钉支护边坡稳定性分析[J]. 中国公路学报, 2008, 21(6): 20-25. (DONG Jian-hua, ZHU Yan-peng. Stability analysis of slope supported by soil nailing retaining wall under earthquake[J]. China Journal of Highway and Transport, 2008, 21(6): 20-25. (in Chinese))
[10]	周强. 利用上限定理的二级边坡地震稳定性[J]. 公路工程, 2013, 38(2): 174-176. (ZHOU Qiang. Slope with multi-step stability under earthquake forces based on LA[J]. Highway Engineering, 2013, 38(2): 174-176. (in Chinese))
[11]	文畅平. 多级锚固高边坡临界高度影响因素敏感性分析[J]. 中国公路学报, 2014, 27(2): 35-44. (WEN Chang-ping. Sensitivity analysis of critical height and its influence factors of multistage anchored slope[J]. China Journal of Highway and Transport, 2014, 27(2): 35-44. (in Chinese))
[12]	KUMAR J, SAMUI P. Stability determination for layered soil slopes using the upper bound limit analysis[J]. Geotechnical & Geological Engineering, 2006, 24(6): 1803-1819.
[13]	王根龙, 伍法权, 张军慧. 非均质土坡稳定性分析评价的刚体单元上限法[J]. 岩石力学与工程学报, 2008, 27(增刊2): 3425-3430. (WANG Gen-long, WU Fa-quan, ZHANG Jun-hui. Upper bound approach of rigid elements for inhomogeneous slope stability[J]. Chinese Journal of Rock Mechanics and Engineering, 2008, 27(S2): 3425-3430. (in Chinese))
[14]	赵炼恒, 罗强, 李亮, 等. 层状岩体边坡动态稳定性拟静力上限分析[J]. 岩土力学, 2010, 31(11): 3627-3634. (ZHAO Lian-heng, LUO Qiang, LI Liang, et al. Upper bound quasi-static analysis of dynamic stability of layered rock slopes[J]. Rock and Soil Mechanics, 2010, 31(11): 3627-3634. (in Chinese))
[15]	胡军, 钟龙, 杨昕光. 基于水平条分任意滑动面的边坡稳定性分析上限法[J]. 土木工程学报, 2013, 46(6): 117-121. (HU Jun, ZHONG Long, YANG Xin-guang. Upper bound approach for slope stability analysis based on arbitrary sliding surface and horizontal slices[J]. China Civil Engineering Journal, 2013, 23(11): 117-121. (in Chinese))
[16]	李新坡, 何思明, 徐骏, 等. 预应力锚索加固土质边坡的稳定性极限分析[J]. 四川大学学报(工程科学版), 2006, 38(5): 82-85. (LI Xin-po, HE Si-ming, XU Jun, et al. Stability analysis of slopes reinforced with pre-tensioned cables by LAM[J]. Journal of Sichuan University (Engineering Science Edition), 2006, 38(5): 82-85. (in Chinese))
[17]	LI X P, HE S M, WU Y. Limit analysis of the stability of slopes reinforced with anchors[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2012, 36(17): 1898-1908.
[18]	赵炼恒, 罗强, 李亮, 等. 基于失稳状态耗能最小原理的预应力锚索加固边坡稳定性上限解析[J]. 岩土力学, 2013, 34(2): 426-432. (ZHAO Lian-heng, LUO Qiang, LI Liang, et al. Energy analysis method for slopes reinforcing with prestressed anchor cables based on minimum energy principle of instability state[J]. Rock and Soil Mechanics, 2013, 34(2): 426-432. (in Chinese))
[19]	LOUKIDIS D, BANDINI P, SALGADO R. Stability of seismically loaded slopes using limit analysis[J]. Géotechnique, 2003, 53(5): 463-479.
[20]	SLOAN S W. Geotechnical stability analysis[J]. Géotechnique, 2013, 63(7): 531-571.
[21]	年廷凯, 刘凯, 黄润秋, 等. 多阶多层边坡稳定性的上限方法[J]. 岩土力学, 2016, 37(3). (NIAN Ting-kai, LIU Kai, HUANG Run-qiu, et al. Generalized upper-bound limit analysis approach for stability analysis of complex multistep and multilayer slopes[J]. Rock and Soil Mechanics, 2016, 37(3). (in Chinese))
[22]	栾茂田, 金崇磐, 林皋, 等. 层状非均质土坡抗震稳定性的变分解法[J]. 地震工程与工程振动, 1993, 13(4): 73-90. (LUAO Mao-tian, JIN Chong-pan, LIN Gao, et al. Variational procedure for seismic stability of layered soil slopes[J]. Earthquake Engineering and Engineering Vibration, 1993, 13(4): 73-90. (in Chinese))
[23]	黄茂松, 王浩然, 刘怡林. 基于转动-平动组合破坏机构的含软弱夹层土坡降雨入渗稳定上限分析[J]. 岩土工程学报, 2012, 34(9): 1561-1567. (HUANG Mao-song, WANG Hao-ran, LIU Yi-lin. Rotation-translation combined mechanism for stability analysis of slopes with weak interlayer under rainfall condition[J]. Chinese Journal of Geotechnical Engineering, 2012, 34(9): 1561-1567. (in Chinese))

施引文献(9)

期刊类型引用(3)

1.	吴德顺，顾晓强，刘鑫. 上海地铁运行引起软土场地振动实测与预测模型研究. 结构工程师. 2023(05): 174-183 . 百度学术
2.	蒋家文，张琦. 超导磁悬浮列车及超导技术的运用. 智能城市. 2021(18): 136-137 . 百度学术
3.	邱乐侠，胡启洲，吴翊恺，吴啸宇. 基于多粒度粗糙集与多级可拓的高速磁浮系统综合评判. 交通运输工程与信息学报. 2021(04): 106-117 . 百度学术