基于隧道纵向实测变形的力学状态反演分析方法  

Inversion Analysis Method of Mechanical State Based on Measured Longitudinal Deformation of Tunnel

作　　者：张彩亮 张玉芳 赵尚毅 张志国 袁坤 周文皎 ZHANG Cailiang;ZHANG Yufang;ZHAO Shangyi;ZHANG Zhiguo;YUAN Kun;ZHOU Wenjiao(Postgraduate Department,China Academy of Railway Sciences,Beijing 100081,China;Railway Engineering Research Institute,China Academy of Railway Sciences Corporation Limited,Beijing 100081,China;School of Civil Engineering,Shijiazhuang Tiedao University,Hebei Shijiazhuang 050043,China)

机构地区：[1]中国铁道科学研究院研究生部,北京100081 [2]中国铁道科学研究院集团有限公司铁道建筑研究所,北京100081 [3]石家庄铁道大学土木工程学院,河北石家庄050043

出　　处：《中国铁道科学》2022年第6期96-105,共10页China Railway Science

基　　金：中国铁路总公司科技研究开发计划课题(P2018G001);云南省交通运输厅科技计划项目(云交科教2018-34)。

摘　　要：针对滑坡、塌陷、采空区等不良地质现象导致隧道产生的较大变形,基于无限长弹性地基梁模型,结合隧道实测纵向变形曲线,通过引入等效准则和等效荷载概念,提出1种计算隧道变形后力学状态的弹性反演分析方法。作为1种简化计算方法,该方法基于峰值位移、平均弯曲转角可反推得到等效集中荷载作用下,竖向和水平2个方向的隧道弯曲、剪切、扭转内力和平均等效荷载,并确定等效集中荷载的作用方向。依托某穿过2座煤矿采空区的病害隧道工程进行反演分析,验证提出方法的合理性和可行性。结果表明:对比依托工程实测的拱段与按无限长梁模型计算理论上的拱段,在远离洞口侧时二者的长度值较为接近,最小误差为1.21 m,误差率为3%;采用仿真模拟,将得到的反演平均等效荷载施加于隧道衬砌横截面,此时衬砌混凝土开裂区的裂缝分布与病害隧道的实际开裂情况高度一致。弹性反演分析方法具有一定的合理性,按最大位移和平均弯曲转角相结合的计算方式能保证反演结果偏于保守。In view of large deformations of tunnels caused by unfavorable geological phenomena such as landslide,collapse,and goaf,based on the infinite-length model of elastic foundation beam,combining with the measured longitudinal deformation curve of the tunnel,an elastic inversion analysis method is proposed to calculate the mechanical state of the tunnel with deformation by introducing the equivalent principle and the concept of equivalent load.As a simplified calculation method,based on the peak displacement and the average bending angle,the bending,shear and torsional internal forces and average equivalent loads in vertical and horizontal directions of tunnels can be inversely deduced under the equivalent concentrated load,and the action direction of the equivalent concentrated load can be determined.Relying on a diseased tunnel project passing through the goafs of two coal mines,the inversion analysis is carried out to verify the rationality and feasibility of the proposed method.The results show that comparing with the measured arch section based on the practical project and the theoretical arch section calculated by the infinite-length beam model,the length of the two are close at the side far away from the tunnel entrance,with the minimum error of 1.21 m and the error rate of 3%.The average equivalent load obtained from the inversion analysis is applied to the cross section of the tunnel lining by simulation.It is found that the crack distribution in the cracking area of the concrete lining is highly consistent with the actual cracking situation of the diseased tunnel.The elastic inversion analysis method displays a certain degree of rationality and the method of combining maximum displacement and average bending angle can ensure that the inversion results are conservative.

关 键 词：隧道 纵向变形 弹性地基梁 反演分析 等效荷载 力学状态 

分 类 号：U452.27[建筑科学—桥梁与隧道工程]