传递最大推力的不平衡推力法

陈文胜; 戴嘉宁; 蒋茂林; 李颖豪; 梁瑶

doi:10.11779/CJGE202201018

传递最大推力的不平衡推力法 English Version

长沙理工大学土木工程学院, 湖南长沙 410114

基金项目:

国家自然科学基金面上项目 51778067

详细信息

作者简介:
陈文胜(1966—)，男，博士，教授，主要从事岩土工程方面的教学和科研工作。E-mail: 13319504070@126.com

中图分类号: TU470
计量
- 文章访问数: 316
- HTML全文浏览量: 41
- PDF下载量: 209
出版历程
- 收稿日期: 2021-04-06
- 网络出版日期: 2022-09-22
- 刊出日期: 2021-12-31

Imbalance thrust force method for transferring the maximum thrust force

School of Civil Engineering, Changsha University of Science & Technology, Changsha 410114, China

摘要

摘要: 不平衡推力法因其计算模型简便，计算过程可以显式完成，并且可以计算边坡整体的滑坡推力，在边坡分析与设计领域应用较广。条分法力学模型是一静不定模型，经各种简化而产生现有的各种条分方法，其中包括不平衡推力法。而作为静不定模型，条分法理论上有无数个满足平衡条件的解。而从这无数解中，应有更加合理和更有代表性的解存在，如具有较小安全系数的解。根据不平衡推力法的思路，遵循极限状态法设计计算的原则，拟通过找到条间传递最大条间力也即最大推力作为解答。本文的解答在边坡取整体安全系数的前提下，确保条间剪力不超出其条间的抗剪强度，让条块之间以最大条间力进行传递。通过理论分析和算例计算表明：相较于传统不平衡推力法，本文方法在满足极限平衡条件的前提下，可求得边坡对应滑动面的更大的滑坡推力，并获得较传统方法更小的安全系数。本文工作是对传统不平衡推力法的一个重要和有益的改进。
- 边坡 /
- 不平衡推力法 /
- 条间力 /
- 改进方法
Abstract: The imbalance thrust force method (ITFM) is widely applied in the field of slope analysis and design because of its simple model, explicit calculation process and ability to calculate the overall landslide thrust. Because the mechanical model of the slice method is a statically indeterminate model, the existing slice methods are derived from various simplifications, including ITFM. As a statically indeterminate model, the slice method theoretically has innumerable solutions satisfying the equilibrium conditions. Among these innumerable solutions, there are reasonable and more representative solutions, such as the solution with smaller safety factor. According to the idea of ITFM and following the principle of the limit state method for design and calculation, this study tries to find the maximum force between slices for ITFM solution, that is, the maximum thrust force. Under the premise of taking the overall safety factor of slope, the solution of this study ensures that the shear force between the slices does not exceed the shear strength between the slices, so that the maximum inter slice force can be transferred between the slices. The theoretical analysis and example calculation show that compared with the traditional ITFM, the improved method can obtain a larger landslide thrust of the corresponding sliding surface of the slope under the premise of meeting the limit equilibrium condition, and obtain a smaller safety factor than the traditional ITFM. This study is an significant and useful improvement on the traditional ITFM.
- slope /
- imbalance thrust force method /
- inter-slice force /
- improvement method

HTML全文

图 1 条块力学模型

Figure 1. Mechanical model of a slice

下载: 全尺寸图片幻灯片

图 2 力三角形

Figure 2. Force triangle

下载: 全尺寸图片幻灯片

图 3 求解步骤示意图

Figure 3. Diagram for solution

下载: 全尺寸图片幻灯片

图 4 算例模型一

Figure 4. Example model 1

下载: 全尺寸图片幻灯片

图 5 算例模型二

Figure 5. Example model 2

下载: 全尺寸图片幻灯片

表 1 计算过程

Table 1 Calculation process

编号	条重/(kN·m^-1)	$\alpha$ /(°)	l/m	h/m	${G}_{推}$ /kN	${G}_{改}$ /kN
^#1	126.85	34.86	5.48	3.13	17.36	40.71
^#2	265.90	34.86	5.48	3.44	93.82	130.21
^#3	208.58	13..91	4.63	1.72	76.69	108.86
^#4	69.53	13.91	4.63	0	50.45	78.87

下载: 导出CSV

表 2 安全系数

Table 2 Safety factors

不平衡推力法	工程师团法	M-P法	本文方法
1.284	1.278	1.264	1.149

下载: 导出CSV

表 3 安全系数

Table 3 Safety factors

滑动面	不平衡推力法	M-P法	本文方法
2分滑动面	2.306	2.044	1.512
4分滑动面	1.952	1.874	1.432
8分滑动面	1.856	1.834	1.403

下载: 导出CSV

表 4 F_s=2.5时最后条块剩余推力

Table 4 Residual thrusts of last slice when F_s=2.5 (kN)

滑动面	不平衡推力法	本文方法
2分滑动面	4.154	33.967
4分滑动面	14.868	42.941
8分滑动面	18.666	43.065

下载: 导出CSV

参考文献(15)

[1]	FELLENIUS W. Calculation of the stability of earth dams[C]// Transactions of the 2nd Congress on Large Dams, Washington D C, 1936, 4: 445–462.
[2]	BISHOP A W. The use of the slip circle in the stability analysis of slopes[J]. Géotechnique, 1955, 5: 7–17. doi: 10.1680/geot.1955.5.1.7
[3]	JANBU N. Slope stability computations[C]// HIRSCHFIELD E, POULOS S, ed. Embankment Dam Engineering. New York: John Wiley, 1973: 47–86.
[4]	陈祖煜. 土坡稳定分析通用条分法及其改进[J]. 岩土工程学报, 1983, 5(4): 11–27. doi: 10.3321/j.issn:1000-4548.1983.04.002 CHEN Zu-yu. The generalized method of slices for slope stability analysis and its modifications[J]. Chinese Journal of Geotechnical Engineering, 1983, 5(4): 11–27. (in Chinese) doi: 10.3321/j.issn:1000-4548.1983.04.002
[5]	林峰, 黄润秋. 边坡稳定性极限平衡条分法的探讨[J]. 地质灾害与环境保护, 1997, 8(4): 9–13. https://www.cnki.com.cn/Article/CJFDTOTAL-DZHB704.001.htm LIN Feng, HUANG Run-qiu. A study on the limit equilibrium method for slope stability analysis[J]. Journal of Geological Hazards and Enveronment Preservation, 1997, 8(4): 9–13. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-DZHB704.001.htm
[6]	方玉树. 边坡稳定性分析条分法条间力合理性研究[J]. 中国地质灾害与防治学报, 2008, 19(2): 80–86. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGDH200802017.htm FANG Yu-shu. Rationality of inter-slice forces of slices method for slope stability analysis[J]. The Chinese Journal of Geological Hazard and Control, 2008, 19(2): 80–86. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZGDH200802017.htm
[7]	郑颖人, 时卫民, 杨明成. 不平衡推力法与Sarma法的讨论[J]. 岩石力学与工程学报, 2004, 23(17): 3030–3036. doi: 10.3321/j.issn:1000-6915.2004.17.031 ZHENG Ying-ren, SHI Wei-min, YANG Ming-cheng. Discussion on imbalance thrust force method and sarma's method[J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23(17): 3030–3036. (in Chinese) doi: 10.3321/j.issn:1000-6915.2004.17.031
[8]	张鲁渝, 郑颖人, 时卫民. 边坡稳定分析中关于不平衡推力法的讨论[J]. 岩石力学与工程学报, 2005, 24(1): 177–182. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX20050100W.htm ZHANG Lu-yu, ZHENG Ying-ren, SHI Wei-min. On slope stability analysis by imbalance thrust force method[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(1): 177–182. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX20050100W.htm
[9]	时卫民, 郑颖人, 唐伯明, 等. 边坡稳定不平衡推力法的精度分析及其使用条件[J]. 岩土工程学报, 2004, 26(3): 313–317. doi: 10.3321/j.issn:1000-4548.2004.03.002 SHI Wei-min, ZHENG Ying-ren, TANG Bo-ming, et al. Accuracy and application range of imbalance thrust force method for slope stability analysis[J]. Chinese Journal of Geotechnical Engineering, 2004, 26(3): 313–317. (in Chinese) doi: 10.3321/j.issn:1000-4548.2004.03.002
[10]	郑颖人, 时卫民. 不平衡推力法使用中应注意的问题[J]. 重庆建筑, 2004, 3(2): 6–8. https://www.cnki.com.cn/Article/CJFDTOTAL-CQJZ200402004.htm ZHENG Ying-ren, SHI Wei-min. Attentive questions in using imbalance thrust force method[J]. Chongqing Architecture, 2004, 3(2): 6–8. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-CQJZ200402004.htm
[11]	卢应发, 邓国栋, 杨丽平, 等. 滑坡关键块力学行为及力传递特征和不同应力状态的稳定系数研究[J]. 岩石力学与工程学报, 2014, 33(5): 884–891. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201405003.htm LU Ying-fa, DENG Guo-dong, YANG Li-ping, et al. Study of mechanical behaviors of key blocks and characteristics of force transmit and stability coefficient of different stress states of landslides[J]. Chinese Journal of Rock Mechanics and Engineering, 2014, 33(5): 884–891. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201405003.htm
[12]	齐明柱. 不平衡推力法在滑坡治理工程中的应用[J]. 中国地质灾害与防治学报, 2011, 22(2): 34–38. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGDH201102007.htm QI Ming-zhu. Application of imbalance thrust force method in the remedy of landslide[J]. The Chinese Journal of Geological Hazard and Control, 2011, 22(2): 34–38. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZGDH201102007.htm
[13]	郑宏, 田斌, 刘德富, 等. 关于有限元边坡稳定性分析中安全系数的定义问题[J]. 岩石力学与工程学报, 2005, 24(13): 2225–2230. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX200513003.htm ZHENG Hong, TIAN Bin, LIU De-fu, et al. On definitions of safety factor of slope stability analysis with finite element method[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(13): 2225–2230. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX200513003.htm
[14]	赵尚毅, 郑颖人, 时卫民, 等. 用有限元强度折减法求边坡稳定安全系数[J]. 岩土工程学报, 2002, 24(3): 343–346. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC200203016.htm ZHAO Shang-yi, ZHENG Ying-ren, SHI Wei-min, et al. Analysis on safety factor of slope by strength reduction FEM[J]. Chinese Journal of Geotechnical Engineering, 2002, 24(3): 343–346. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC200203016.htm
[15]	陈文胜, 李苗苗, 张永杰, 等. 对库仑土压力理论的若干修正[J]. 岩土力学, 2013, 34(7): 1832–1838, 1846. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201307003.htm CHEN Wen-sheng, LI Miao-miao, ZHANG Yong-jie, et al. Modifications to Coulomb's theory of earth pressure[J]. Rock and Soil Mechanics, 2013, 34(7): 1832–1838, 1846. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201307003.htm

施引文献(8)

期刊类型引用(6)

1.	王策. 既有结构基础下方隧道开挖扰动破坏及其所需支护力预测. 城市轨道交通研究. 2024(02): 130-134 . 百度学术
2.	王超，朱春洲，邹金锋，刘波，张晗秋，马江锋. 盾构隧道近接斜交侧穿桥梁桩基变形计算方法. 浙江大学学报(工学版). 2024(03): 557-569 . 百度学术
3.	魏纲，木志远，齐永洁，郭丙来，项鹏飞. 考虑地层损失的隔离桩对基坑旁侧盾构隧道变形保护研究. 岩土工程学报. 2024(03): 480-489 . 本站查看
4.	冯国辉，窦炳珺，张高锋，丁士龙，徐长节. 隧道开挖引起水平向位移被动桩的简化计算方法. 土木与环境工程学报(中英文). 2021(02): 10-18 . 百度学术
5.	冯国辉，周逊泉，何庆亮，徐长节. 隔离桩对盾构掘进引起邻近高铁桩基水平位移的影响分析. 土木与环境工程学报(中英文). 2020(04): 28-35 . 百度学术
6.	杨文伟，姜远达. 基于ABAQUS软件的桩水平承载特性研究及“m”法应用. 甘肃科技. 2019(09): 104-109 . 百度学术