岩土力学2024，Vol.45Issue(5)：1397-1411,1422,16.DOI:10.16285/j.rsm.2023.0670
考虑衬砌截面协调变形约束的既有隧道受盾构下穿施工影响的Fourier能量变分解
Fourier energy variational solution of effects on existing tunnels induced by shield tunneling considering coordinated deformation of lining cross-section
摘要
Abstract
Current theoretical researches on shield tunneling induced existing metro tunnels deformation generally simplify the existing tunnels as Euler-Bernoulli beams without joints,neglecting the tunnel shear deformation and the local stiffness reduction caused by joints.Additionally,the existing foundation model theory rarely incorporates the coordination between lining cross-section and soil deformation.The study utilizes the Loganathan and Polous method to establish the shield tunneling-induced soil greenfield.To account for the local stiffness reduction,the paper then treats the existing tunnel as a Timoshenko beam,with the tunnel stiffness function varying along the axis.By combining the energy principle and the Mindlin solution,the paper stablishes the tunnel displacement equation considering the coordinated constraint between tunnel and soil.The soil greenfield is applied to the tunnel,resulting in longitudinal deformation,which is solved by Fourier series.Finally,the Fourier energy variational solution is verified by three sets of engineering data,achieving good consistency.To conduct parameter analysis,the relative effects among factors such as bending stiffness,shear stiffness,joint action,soil parameters and space relationship are also adopted.Analysis results indicate that the theoretical solution considering the coordinated constraints of cross-section aligns more closely with the field data.Tunnel displacement results obtained without considering the coordination constraints tend to be larger.The local stiffness weakening effect of joint will cause significant sudden variations in tunnel bending moments along the axis.The increase in both bending and shear stiffness coefficients leads to a decrease in the bending moment of the tunnel structure.Changes in shear stiffness coefficient from low to high would result in a three-stage process of the tunnel deformation mode,which is from bending controlled stage to bending-shear mixed stage and then to shear controlled stage.As the tunnel deformation mode enters the shear-controlled stage,the effect of bending stiffness coefficients gradually weakens.An increase in the joint coefficient generally causes a decrease in the bending moment of the tunnel,but the impact is slight as the bending coefficient increases.关键词
盾构隧道/截面协调变形/接头刚度削弱/隧道剪切变形/Timoshenko梁/Fourier能量变分Key words
shield tunnel/cross-sectional coordinated deformation/joint stiffness reduction/tunnel shear deformation/Timoshenko beam/Fourier energy variation分类
交通工程引用本文复制引用
张治国,沃巍,朱正国,韩凯航,孙苗苗..考虑衬砌截面协调变形约束的既有隧道受盾构下穿施工影响的Fourier能量变分解[J].岩土力学,2024,45(5):1397-1411,1422,16.基金项目
国家自然科学基金资助项目(No.42177145) （No.42177145）
省部共建交通工程结构力学行为与系统安全国家重点实验室课题(No.KF2022-07) （No.KF2022-07）
城市基础设施智能化浙江省工程研究中心课题(No.IUI2022-YB-01).This work was supported by the National Natural Science Foundation of China(42177145),the Opening Fund of State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures(KF2022-07)and the Opening Fund of Zhejiang Engineering Research Center of Intelligent Urban Infrastructure(IUI2022-YB-01). （No.IUI2022-YB-01）
