隧道开挖对建筑物条形基础效应的理论研究  

Theoretical Study of the Building's Strip Foundation Induced by the Tunnel Excavation

作　　者：田晓艳[1] 熊家全 代建波[1] 刘静[1] 李源[3] TIAN Xiao-yan;XIONG Jia-quan;DAI Jian-bo;LIU Jing;LI Yuan(School of Civil Engineering,Xi'an Shiyou University,Xi'an 710065,China;Traffic Engineering Quality Surveillance,Guangzhou 511400,China;China Northwest Building Design Research Institute,Xi'an 710018,China)

机构地区：[1]西安石油大学土木工程学院,西安710065 [2]广州市交通工程质量监督站,广州511400 [3]中国建筑西北设计研究院有限公司,西安710018

出　　处：《科学技术与工程》2023年第27期11786-11794,共9页Science Technology and Engineering

基　　金：国家自然科学基金青年科学基金(51808446);陕西省重点研发计划(2022SF-305);西安石油大学博士科研启动项目(250205002)。

摘　　要：基于隧道开挖引发的深部土层沉降槽曲线特点,首先利用反分析法研究其开挖对条形基础效应的影响,利用微元体力的平衡条件建立隧道开挖与条形基础与地基协同工作的微分方程,然后采取概念明确的初参数法求解相应的齐次方程,之后根据平截面假定,结合材料力学基本理论,考虑双曲线三角函数的微分特点,并借助MATLAB、mathmatica软件得出隧道穿越条形基础效应的理论计算表达式,最后结合工程算例分析研究隧道与基础相对位置变化以及主要参数变化对基础效应的影响。结果表明:隧道对基础的影响范围为[-0.5~1.5]倍的基础长度,且当隧道中心位于基础端部时沉降最大;隧道参数中土体损失率、隧道开挖断面及埋深对基础效应的影响很大,而基础自身参数变化对其变形影响较小,但基础高度的参数变化对其内力影响较大,基础的高度主要是由基础抗冲切与剪切来确定。In view of the subsidence trough curve of the deep soil,the inverse analysis method was used to study the effect of the strip foundation induced by the tunnel excavation.Firstly by using the balance condition of the infinitesimal body the synergy differential equation was found about the strip foundation and ground interaction induced by the tunnel excavation.Secondly the initial para-meter method of the definite concept was used to solve the homogeneous differential equation.Then by means of the flat section assumption and combining with the theory of the mechanics of materials and considering the differential characteristics of the hyperbolic trigonometric function,the principle theoretical calculation formula of the displacement and the internal force of the strip foundation were drawn with the help of the software MATLAB mathmatica.Lastly the curves features of the strip foundation on the different location and the main parameters variation were studied by combining with engineering case.The study results show that the influence range of tunnel excavation of foundation is about 0.5~1.5 times as much as the strip foundation's length,and there is the largest settlement when the tunnel center is in the left or right end of the foundation.The influence is very big induced by changing the soil loss,the tunnel excavation section and the tunnel buried depth in the tunnel parameters.And the deformation is nearly not affected by the foundation parameter variation,however there are the bigger impact on the internal forces by changing the foundation height.Its height is determined by the punching and shearing resistant capacity.

关 键 词：沉降槽曲线 反分析法 条形基础效应 初参数法 双曲线三角函数 理论计算表达式 

分 类 号：TU473[建筑科学—结构工程]