纵向压力和加固钢板对隧道力学性能影响的解析解  

Analytical solution for mechanical properties of tunnel influenced by longitudinal pressure and reinforced steel plate

作　　者：江学辉 颜建伟 罗文俊[1] 李佳宝 徐长节[1] JIANG Xue-hui;YAN Jian-wei;LUO Wen-jun;LI Jia-bao;XU Chang-jie(State Key Laboratory of Performance Monitoring and Protecting of Rail Transit Infrastructure,East China Jiaotong University,Nanchang,Jiangxi 330013,China)

机构地区：[1]华东交通大学轨道交通基础设施性能监测与保障国家重点实验室,江西南昌330013

出　　处：《岩土力学》2024年第6期1623-1632,共10页Rock and Soil Mechanics

基　　金：国家自然科学基金(No.52225210,No.51978265);江西省防灾减灾及应急管理重点实验室项目(No.20212BCD42011)。

摘　　要：为快速准确地评估纵向压力和加固钢板对盾构隧道力学性能的影响,基于隧道衬砌接缝面建立考虑纵向压力、弯矩和加固钢板耦合作用下的应力平衡方程,推导出了隧道力学性能的解析解。通过与经典抗弯刚度理论和数值模拟的计算结果对比,验证了该方法的可靠性。研究表明:隧道中性轴随纵向压力、加固钢板厚度和弹性模量增加而减小;隧道抗弯刚度随弯矩增大而减小(最大和最小隧道抗弯刚度与弯矩大小无关),与纵向压力呈S曲线正相关,与加固钢板厚度和弹性模量呈非线性正相关。有加固钢板的隧道抗弯刚度是无加固钢板的6.58倍;弯矩承载力与纵向压力、加固钢板厚度和弹性模量呈非线性正相关;衬砌接缝张开量与纵向压力、加固钢板厚度和弹性模量呈非线性反相关,与弯矩呈非线性正相关。该计算方法解析地诠释了纵向压力与加固钢板对盾构隧道力学性能的影响机制。In order to quickly and accurately evaluate the effect of longitudinal compressive pressure and reinforced steel plate on the mechanical properties of shield tunnel,we established stress equilibrium equations that consider the coupling effect of longitudinal pressure,bending moment and reinforced steel plate based on the joints of shield tunnel lining,and finally derived the analytical solution.The feasibility of the method was confirmed by comparing with the results of classical equivalent bending stiffness and numerical simulations.The results indicate that the neutral axial decreases with the increasing longitudinal pressure,thickness and elastic modulus of the reinforced steel plate.The equivalent bending stiffness of the shield tunnel decreases with the increasing bending moment(maximum and minimum equivalent bending stiffness are independent of the bending moment).It follows an S-curve pattern correlation with the longitudinal pressure,and shows a nonlinear correlation with the thickness and elastic modulus of the reinforced steel plate.The equivalent bending stiffness of the tunnel with reinforced steel plate is 6.58 times that of the tunnel without steel plate.The bending bearing capacity is nonlinear with respect to the longitudinal pressure,the thickness and elastic modulus of reinforced steel plate.The opening of tunnel lining joints is nonlinear with respect to the bending moment,but inversely nonlinear to the longitudinal pressure,the thickness and elastic modulus of the reinforced steel plate.This analytical solution reveals the evolution of the mechanical properties of shield tunnels under the influence of longitudinal pressure and reinforced steel plate.

关 键 词：隧道工程 解析解 纵向压力 加固钢板 抗弯刚度 

分 类 号：U25[交通运输工程—道路与铁道工程]