平面爆破P波扰动下深埋圆形衬砌隧道瞬态动力响应解析解研究  

Transient Analytical Solution and Dynamic Response of Deep Circular Lining Tunnel Subjected to Plane Blasting P-Wave Disturbance

作　　者：李梅[1] 高鑫鑫 梅万全 雷涛[1] 韩高升 潘鹏志[3] 张义云 LI Mei;GAO Xin-xin;MEI Wan-quan;LEI Tao;HAN Gao-sheng;PAN Peng-zhi;ZHANG Yi-yun(School of Resources and Environmental Engineering,Wuhan University of Technology,Wuhan 430070,China;School of Civil Engineering and Architecture,Wuhan University of Technology,Wuhan 430070,China;State Key Laboratory of Geomechanics and Geotechnical Engineering,Institute of Rock and Soil Mechanics,Chinese Academy of Sciences,Wuhan 430071,China)

机构地区：[1]武汉理工大学资源与环境工程学院,武汉430070 [2]武汉理工大学土木工程与建筑学院,武汉430070 [3]中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室,武汉430071

出　　处：《爆破》2022年第3期33-40,共8页Blasting

基　　金：山东省重大科技创新工程(2019JZZY020314);国家自然科学基金(51104111)。

摘　　要：目前爆破扰动下隧道的动力响应解析解研究多为稳态,且主要集中在无衬砌隧道;而实际工程施工爆破扰动以瞬态波的形式传播,且大多隧道有衬砌。因此,论文以深埋圆形有衬砌隧道为研究对象,采用波函数展开法和梯形求积,开展平面爆破P波扰动下的隧道瞬态动力响应解析解研究:通过分析平面简谐P波入射时衬砌和围岩中的波场,考虑深埋隧道衬砌与围岩相互作用的边界条件,确定隧道周围的稳态响应;在稳态解的基础上运用梯形求积,求出平面爆破P波扰动下深埋圆形衬砌隧道动力响应问题的瞬态解析解,进而分析隧道衬砌与围岩接触面和隧道内的动应力集中系数、径向和环向振动速度的动态响应情况。研究结果表明:本文解析结果与FLAC及CASRock数值结果一致,验证了本文方法的可行性以及正确性;动力扰动过程中隧道两帮出现拉应力集中,顶底板主要出现压应力集中,隧道两侧的径向振动速度要显著大于隧道顶部,环向振动速度随着爆破荷载的加卸载先增大后减小至零。解析结果可以为深埋隧道的支护提供理论基础。At present,the analytical solutions of tunnel dynamic response under blasting disturbance are mostly steadystate.However,the actual blasting disturbance propagates in engineering construction are in the form of transient wave,and most of the tunnels are lined Meanwhile,the study of transient solution mainly concentrates on unlined tunnel,but most tunnels have lining in practical engineering.Therefore,taking the deep buried circular lined tunnel as the research object,the analytical solution of tunnel transient dynamic response under plane blasting P-wave disturbance is studied by combining wave function expansion method with trapezoidal quadrature.In addition,by analyzing the wave field in the lining and surrounding rock when plane P-wave incident and considering the boundary conditions of interaction between the lining and surrounding rock,the relevant parameters of steady-state response are determined.Furthermore,on the basis of the steady-state solution,a transient analytical solution of the dynamic response of a deep buried circular liner tunnel under plane blast P-wave perturbation is obtained by applying the trapezoidal quadrature method.The dynamic response of the dynamic stress concentration coefficient,radial and circumferential vibration velocity in the tunnel liner and surrounding rock contact surface and tunnel are then analyzed.The results show that:the theoretical solution in this paper are consistent with those obtained by FLAC and CASRock simulations,which verifies the feasibility and correctness of proposed method.Besides,the tensile stress concentration occurs in both sides of the tunnel during the dynamic disturbance,and the compressive stress concentration mainly occurs on the top and bottom slabs.The radial velocity vibration at both sides of the tunnel is significantly larger than that on the tunnel top,and the circumferential velocity vibration increases first and then decreases to zero with the addition and removal of the blast load.In a word,the analytical results can provide a theoretica

关 键 词：爆破P波 瞬态响应 圆形衬砌隧道 波函数展开法 CASRock 

分 类 号：U451[建筑科学—桥梁与隧道工程]