运营隧道原型-模型衬砌应力理论模型及应用  

Operating tunnel prototype-model lining stress theory model and application

作　　者：陶永虎 饶军应[1] 熊鹏 聂崇欣 谢财进 TAO Yonghu;RAO Junying;XIONG Peng;NIE Chongxin;XIE Caijin(School of Civil Engineering,Guizhou University,Guiyang 550025,China)

机构地区：[1]贵州大学土木工程学院,贵州贵阳550025

出　　处：《西安理工大学学报》2021年第3期423-432,共10页Journal of Xi'an University of Technology

基　　金：国家自然科学基金资助项目(51968010,51608141);贵州省科技基金资助项目([2012]63,[2017]5788)。

摘　　要：为研究运营隧道原型与模型应力关系,视隧道衬砌为薄板结构,通过复变函数保角代换计算连拱隧道衬砌应力,基于相似理论原理建立原型-模型衬砌应力理论分析模型,结合模型化简、误差分析对其进行优化及合理性验证。研究表明:原型-模型衬砌应力理论表达式相差一个常数,此常数可通过相似条件、围岩物理力学性质及边界条件给出;经保角变换及模型化简,可间接给出复杂连拱隧道三个方向的衬砌应力,后由坐标转换给出θ→0和β→0、θ→π和β→π、θ→π/2和β→π/2等高应力区原型-模型衬砌应力的理论关系;经分析,原型与模型衬砌应力实测值、实测值、理论值均随时间增加,且变化趋势一致,最大误差约为5.02%;经应力反演,理论值与实测值较为接近,可实时掌握隧道衬砌应力大小及变化趋势,为后期运营监测提供理论依据。To study the stress relation between the prototype of the operating tunnel and the model,the tunnel lining is regarded as a thin-slab structure,and the lining stress of the double-arch tunnel is calculated by conformal substitution of complex variable functions.Based on the principle of similarity theory,the prototype-model lining stress theoretical analysis model is established,with the model simplification and error analysis used to optimize and verify its rationality.The researches show that there is a constant difference between the theoretical expression of the prototype lining stress and the model,which can be obtained through similar conditions,physical and mechanical properties of the surrounding rock,and boundary conditions;after conformal transformation and model simplification,the lining stress in three directions of complex multi-arch tunnels can be solved indirectly.Then,the theoretical lining stress relation between the prototype and the model in high stress areas such asθ→0 andβ→0,θ→πandβ→π,θ→π/2 andβ→π/2 are given by coordinate conversion;after analysis,the measured value,actual measured value and theoretical value of the prototype lining stress and model lining stress have increased with time,the trend of change is the same,and the maximum error is about 5.02%;after stress inversion calculation,the theoretical value is relatively close to the actual measured value,and the magnitude and change trend of the tunnel lining stress can be grasped in real time,providing a theoretical basis for later operation monitoring.

关 键 词：运营隧道 原型-模型 衬砌应力 理论模型 误差分析 应力反演 

分 类 号：TU91[建筑科学—建筑理论]