基于位移梯度法的深基坑桩锚支护结构动态稳定性分析

兰州理工大学学报 ›› 2022, Vol. 48 ›› Issue (6): 110-119.

基于位移梯度法的深基坑桩锚支护结构动态稳定性分析

周勇^*1,2,3, 赵元基^1,2,3, 王正振^1,2,3, 熊泤哲⁴

1.兰州理工大学甘肃省土木工程防灾减灾重点实验室, 甘肃兰州 730050;
2.兰州理工大学西部土木工程防灾减灾教育部工程研究中心, 甘肃兰州 730050;
3.兰州理工大学土木工程学院, 甘肃兰州 730050;
4.澳门大学科学技术学院, 澳门 999078

收稿日期:2020-05-21 出版日期:2022-12-28 发布日期:2023-03-21
通讯作者: 周勇(1978-),男,湖北宣恩人,博士,教授,博导.Email:gsutzhouy@163.com
基金资助:
甘肃省青年科技基金计划(22JR5A286),甘肃省住房和城乡建设厅建设科技项目(JK2202-03)

Dynamic stability analysis of pile anchor support structure in deep pits based on displacement gradient method

ZHOU Yong^1,2,3, ZHAO Yuan-ji^1,2,3, WANG Zheng-zhen^1,2,3, XIONG Si-zhe⁴

1. Key Laboratory of Disaster Mitigation in Civil Engineering of Gansu Province, Lanzhou Univ. of Tech., Lanzhou 730050, China;
2. Western Center of Disaster Mitigation in Civil Engineering, Ministry of Education, Lanzhou Univ. of Tech., Lanzhou 730050, China;
3. School of Civil Engineering, Lanzhou Univ. of Tech., Lanzhou 730050, China;
4. Faculty of Science and Technology, University of Macau, Macau 999078, China

Received:2020-05-21 Online:2022-12-28 Published:2023-03-21

摘要/Abstract

摘要： 滑裂面的搜索模型与安全系数的计算方法是分析深基坑桩锚支护结构稳定性的两大重要内容.本文通过切向位移梯度法搜索最危险滑裂面,并在极限平衡理论的基础上改进了安全系数的计算模型.通过循环以下两步实现滑裂面搜索:搜索切向位移梯度最大的方向作为滑裂面的切线方向;顺着搜索到的切线方向延伸至滑裂面的下一点.在安全系数的计算过程中,通过应力比考虑张拉破坏对土体抗滑力矩的影响.最后,将滑裂面位置及张拉破坏区域代入改进的安全系数公式计算对应工况下基坑的安全系数.通过算例分析发现:切向位移梯度在0°～90°范围内存在极大值;张拉破坏区集中在较浅的土层范围内,且随施工过程动态变化.

关键词: 滑裂面搜索, 安全系数, 切向位移梯度, 有限元, 极限平衡法

Abstract: The search model of the slip surface and the calculation method of the safety factor are the two important contents to analyze the stability of the pile-anchor support structure of deep foundation pits. In this study, the most dangerous slip surface is searched by the tangential displacement gradient method, and the calculation model of the safety factor is improved based on the limit equilibrium theory. The sliding surface is searched in two steps: searching the direction with the maximum tangential displacement gradient as the tangent direction of the sliding surface; the next point of the sliding surface is determined according to the direction of the maximum tangential displacement gradient. In the calculation of the safety factor, the effect of tensile failure on the anti-sliding moment of the soil is considered through the stress ratio. Finally, the location of the slip surface and the tensile failure area are substituted into the improved safety factor formula to calculate the safety factor of the foundation pit under the corresponding working conditions. Through the analysis of numerical examples, it is found that the tangential displacement gradient has a maximum value in the range of 0° to 90°. The tensile failure zone is concentrated in the shallow soil layer and changes dynamically with the construction process.

Key words: sliding surface searching, safety factor, tangential displacement gradient, finite element, limit equilibrium method

中图分类号:

TU473

周勇, 赵元基, 王正振, 熊泤哲. 基于位移梯度法的深基坑桩锚支护结构动态稳定性分析[J]. 兰州理工大学学报, 2022, 48(6): 110-119.

ZHOU Yong, ZHAO Yuan-ji, WANG Zheng-zhen, XIONG Si-zhe. Dynamic stability analysis of pile anchor support structure in deep pits based on displacement gradient method[J]. Journal of Lanzhou University of Technology, 2022, 48(6): 110-119.

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