三心圆拱断面隧道围岩黏弹性位移解及应用  

Viscoelastic Displacement Solution of Surrounding Rock and Its application for Tri-Central Arch Section Tunnels

作　　者：李德宏 白迎正 李维瑞 黄小通 Li Dehong;Bai Yingzheng;Li Weirui;Huang Xiaotong(China Railway Construction Yunnan Investment Co.,Ltd.,Kunming 650000,P.R.China;School of Civil Engineering,Beijing Jiaotong University,Beijing 100044,P.R.China)

机构地区：[1]中铁建云南投资有限公司,昆明650000 [2]北京交通大学土木建筑工程学院,北京100044

出　　处：《地下空间与工程学报》2023年第4期1067-1076,1086,共11页Chinese Journal of Underground Space and Engineering

基　　金：云南省交通科技项目(云交科教便〔2020〕50号)。

摘　　要：基于弹性力学的复变函数方法和弹性粘弹性对应原理,将物理平面(z平面)上三心圆拱断面隧道围岩区域映射到计算平面(ζ平面)上单位圆外域,并用2个应力函数表示围岩的应力、位移及其对应边界条件。考虑临近开挖面的空间影响效应,将其以应力释放率表示,运用幂级数解法、Laplace变换等手段给出了三心圆拱断面隧道围岩的粘弹性位移解析解,并与数值解对比验证了理论解的正确性。将该方法应用于杨林隧道,分析了围岩粘弹性变形规律,揭示了隧道开挖面推进速度、空间影响效应、侧压力系数对隧道围岩粘弹性位移的影响规律,对类似断面隧道围岩粘弹性变形分析具有普遍应用价值。Based on the complex function method of elasticity and the elastic-viscoelastic correspondence principle,the surrounding rock area of tri-central arch section on the physical plane(z plane)is mapped to the unit circle outer area on the computing plane(ζplane),and two stress functions are used to express the stress,displacement and corresponding boundary conditions of the surrounding rock.Considering the space effect of the excavation face and expressing it as stress release rate,the viscoelastic displacement solution of the surrounding rock of the tunnel with tri-central arch section is given by means of power series method and Laplace transform.Compared with the numerical solution,the correctness of the theoretical solution is verified.This method is applied to the Yang Lin Tunnel,the variation of viscoelastic deformation of surrounding rock is analyzed,and the law of the effect of advancing speed,space effect and lateral pressure coefficient on the viscoelastic displacement of surrounding rock is revealed,it has universal application value for viscoelastic deformation analysis of surrounding rock of similar cross-section tunnel.

关 键 词：隧道 三心圆拱断面 应力释放率 围岩粘弹性位移 理论解析 

分 类 号：U456[建筑科学—桥梁与隧道工程]