双向聚能非均布荷载作用下浅埋隧道动力响应  

Dynamic response of shallow buried tunnel under non-uniformly distributed bilateral cumulative load

作　　者：胡文韬[1] 胡继民 陶彪 耿大新[1] 刘鑫磊 徐长节[1,2] HU Wentao;HU Jimin;TAO Biao;GENG Daxin;LIU Xinlei;XU Changjie(Engineering Research&Development Centre for Underground Technology of Jiangxi Province,East China Jiaotong University,Nanchang 330013,China;Jiangxi Provincial Institute of Geotechnical Engineering,East China Jiaotong University,Nanchang 330013,China;Nanchang High-speed Railway Infrastructure Section,China Railway Nanchang Bureau Group Co.,Ltd.,Nanchang 330100,China)

机构地区：[1]华东交通大学江西省地下空间技术开发工程研究中心,江西南昌330013 [2]华东交通大学江西省岩土工程研究所,江西南昌330013 [3]中国铁路南昌局集团有限公司南昌高铁基础设施段,江西南昌330100

出　　处：《铁道科学与工程学报》2021年第11期2954-2962,共9页Journal of Railway Science and Engineering

基　　金：国家自然科学基金资助项目(51878276,51725802,51768021,51968023);江西省研究生创新专项资金资助项目(YC2019-S259)。

摘　　要：通过解析方法研究爆炸荷载下动力响应问题。模型假定在半空间弹性土体中衬砌隧道中心处发生爆炸,荷载简化为双向聚能的非均布瞬态周期荷载并作用在隧道边界上,根据弹性动力学理论和Hamilton壳体理论得到围岩运动方程和衬砌运动方程,通过Laplace变换、波函数展开法和Graf坐标变换法,得到频域下爆炸荷载作用下隧道衬砌及围岩位移和应力响应表达式。利用Laplace数值逆变换得到时域响应半解析解,分析隧道在不同位置、埋深、衬砌厚度和荷载集度的波动特性。数值计算结果表明:隧道顶部和底部响应的方向相反,不同位置处响应趋势都趋于一致,随时间推移,响应逐渐衰弱;随着隧道埋深的增加位移场响应幅值先增强后减弱,在应力场中,隧道侧向响应幅值变化较小,而在隧道顶部和底部产生的幅值变化较大;衬砌厚度增加,隧道周身响应随之减小,并且厚度增加对隧道顶部和底部响应幅值影响较大;当荷载集度增加隧道顶部和底部附近出现较大的环向位移,顶部径向位移增大底部减小,应力响应在隧道顶部衰减,环向应力响应在底部增强。The model analysis exploded at the center of the lining tunnel in a half-space elastic soil,which was alternately reduced to a bilateral charged non-uniformly distributed transient periodic periodicity and acted on the tunnel boundary.According to the elastic dynamic theory and Hamilton shell theory,the envelop rock motion equation and lining motion equation were obtained through the Laplace transform,wave function expansion method and Graf coordinate transformation method.The displacement and stress response expressions of the tunnel lining and surrounding rock under the explosion in the frequency domain were obtained.The semianalytical solution of the time-domain response was obtained by inverse Laplace numerical transformation.The variation characteristics of the tunnel at different locations,burial depth,lining thickness and alternating concentration were analyzed.The numerical calculation results show that the response directions of the top and bottom of the tunnel are opposite,and the response trends at different locations tend to be consistent.The response gradually weakens with time.The response amplitude of the displacement field increases first and then decays when the depth of the conversion tunnel is increased.In the field,the change in the amplitude of the lateral response of the tunnel is small,but the amplitude changes at the top and bottom of the tunnel are continuous.The thickness of the lining increases,the response of the tunnel body is reversed,and the increase in thickness affects the penetration of the response amplitude of the top and bottom of the tunnel.When the degree of stacking increases,the circumferential displacement of cracks near the top and bottom of the tunnel,the radial displacement at the top expands at the bottom,the stress response attenuates at the top of the tunnel,and the circumferential stress response increases at the bottom.

关 键 词：衬砌隧道 非均匀荷载 LAPLACE变换 时域解 

分 类 号：TU43[建筑科学—岩土工程]