摘要
无中导连拱隧道由于后行洞衬砌搭接于先行洞衬砌拱腰之上,围岩与衬砌受力情况复杂,开展相应的围岩与衬砌应力和位移分析具有重要的工程意义。基于复变函数理论和Schwarz交替法,提出了深埋条件下考虑衬砌的无中导连拱隧道围岩与衬砌应力和变形的计算方法。针对无中导连拱隧道两洞具有共用边界的特点,在利用柯西积分法进行求解时,将单洞衬砌与围岩接触的边界积分条件转化为仅存在单洞时的完整边界积分与共用边界积分之差,对于Schwarz交替法中求解“附加面力”的过程亦进行类似处理。给出共用边界应力与位移的计算方法。通过算例,将上述解析结果和数值仿真结果进行对比,证明了方法的可行性和准确性。
Due to the fact that the lining of the secondary tunnel overlaps on the arch waist of the lining of the front tunnel,the stress situation of the surrounding rock and lining is complex.Therefore,it is of important engineering significance to carry out stress and displacement analysis of the surrounding rock and lining.This study proposes a calculation method for stress and deformation analysis of the surrounding rock and lining in a double-arch tunnel without a middle drift,considering the deep burial conditions and the presence of the lining.The method utilizes the complex variable function theory and Schwarz alternating method.In the case of a double-arch tunnel without a middle drift,where the two tunnels intersect,the Cauchy integral method is employed to solve the problem.The boundary integral condition for the contact between the lining of a single tunnel and the surrounding rock is transformed into the subtraction between the complete boundary integral and the intersectional boundary integral when only a single tunnel exists.A similar treatment is applied to the calculation of the“additional surface force”in the Schwarz alternating method.Finally,the calculation method of intersectional boundary stress and displacement is given.A numerical example is provided to demonstrate the feasibility and accuracy of the method by comparing the analytical results with numerical simulation results.
作者
毕钛俊
邓琴
汤华
姜成业
秦雨樵
BI Tai-jun;DENG Qin;TANG Hua;JIANG Cheng-ye;QIN Yu-qiao(State Key Laboratory of Geomechanics and Geotechnical Engineering,Institute of Rock and soil Mechanics,Chinese Academy of Sciences,Wuhan,Hubei 430071,China;University of Chinese Academy of Sciences,Beijing 100049,China)
出处
《岩土力学》
EI
CAS
CSCD
北大核心
2024年第3期777-787,共11页
Rock and Soil Mechanics
基金
云南省交通运输厅科技创新及示范项目(云交科教[2019]79号)。
关键词
无中导连拱隧道
复变函数
SCHWARZ交替法
应力场
位移场
double-arch tunnel without middle drift
functions of complex variables
Schwarz alternating method
stress field
displacement field
作者简介
第一作者:毕钛俊,男,1998年生,硕士研究生,主要从事隧道工程方面的研究。E-mail:bi_xxing@163.com;通讯作者:邓琴,女,1983年生,博士,副研究员,主要从事计算岩土力学方面的研究。E-mail:qdeng@whrsm.ac.cn。
