盾构隧道纵向抗弯刚度双折减计算模型  

Model for Calculating Longitudinal Bending Stiffness of Shield Tunnels Considering Reduction in Longitudinal and Transverse Stiffnesses

作　　者：叶肖伟[1] 魏瑜均 陈云敏[1] 范毅雄 YE Xiao-wei;WEI Yu-jun;CHEN Yun-min;FAN Yi-xiong(College of Civil Engineering and Architecture,Zhejiang University,Hangzhou 310058,Zhejiang,China;Central and Southern China Municipal Engineering Design&Research Institute Co.Ltd.,Wuhan 430010,Hubei,China)

机构地区：[1]浙江大学建筑工程学院,浙江杭州310058 [2]中国市政工程中南设计研究总院有限公司,湖北武汉430010

出　　处：《中国公路学报》2024年第10期139-150,共12页China Journal of Highway and Transport

基　　金：国家自然科学基金项目(52178306);国家重点研发计划项目(2022YFC3802301)。

摘　　要：盾构隧道纵向和横向抗弯刚度因接头螺栓的存在而降低。以盾构隧道经典纵向等效连续梁理论为基础,考虑盾构隧道纵横向抗弯刚度双折减效应和轴力-弯矩联合作用,提出基于椭圆截面和严格椭圆积分推导的盾构隧道纵向抗弯刚度双折减计算模型。模型控制方程为超越方程,采用数值方法对控制方程进行求解。将提出的模型与按圆形截面以及按椭圆截面但非严格椭圆积分推导的既有模型进行了对比,分析了管片横向抗弯刚度、管片及接头螺栓材料刚度等对盾构隧道纵向等效抗弯刚度的影响。研究结果表明:当截面为圆形时,提出的模型与既有模型结果一致;基于圆形截面推导的既有模型是提出的模型的特例;当几何和材料参数给定时,在正负临界轴弯比范围内,盾构隧道纵向等效抗弯刚度与轴弯比呈非线性正相关;在正负临界轴弯比范围外,纵向等效抗弯刚度为定值;盾构隧道纵向等效抗弯刚度随管片横向抗弯刚度或管片及接头螺栓材料刚度的减小而减小。研究成果可为盾构隧道纵向变形分析提供理论参考。Joint bolts reduce the longitudinal and transverse bending stiffnesses of shield tunnels.Based on the classical longitudinal equivalent continuous beam theory for shield tunnels,as well as considering the reduction effect of the transverse bending stiffness of shield segments and the combined action of axial force and bending moment,this study proposes a model for calculating the longitudinal bending stiffness of shield tunnels based on an elliptical cross-section and a strict elliptical-integration derivation.The governing equation of the proposed model is a transcendental equation,and a numerical method is used to solve the governing equation.The proposed model is compared with existing models derived from circular and elliptical cross-sections,but not strictly elliptical integration.Additionally,the effects of the transverse bending stiffness of shield segments and the material stiffness of shield segments and joint bolts on the longitudinal equivalent bending stiffness of shield tunnels are analyzed.The findings show that for a circular cross-section,the results of the proposed model are consistent with those of existing models.Existing models derived based on a circular cross-section are specific cases of the proposed model;when the geometric and material parameters are provided,the longitudinal equivalent bending stiffness of shield tunnels and the ratio between the axial force and bending moment present nonlinear and positive correlations within the range of positive and negative critical ratios between the axial force and bending moment.The longitudinal equivalent bending stiffness is constant outside the range of positive and negative critical ratios between the axial force and bending moment.Meanwhile,it decreases with the transverse bending stiffness of the shield segments or the material stiffnesses of the shield segments and joint bolts.These findings provide a theoretical reference for the longitudinal-deformation analysis of shield tunnels.

关 键 词：隧道工程 盾构隧道 纵向等效抗弯刚度计算方法 纵向等效抗弯刚度 横向抗弯刚度折减 

分 类 号：U451.4[建筑科学—桥梁与隧道工程]