地下圆形衬砌动载等效简易模型及内力极值解  

A pseudo-static equivalent model of impact dynamic load of underground circular lining and its internal force extreme value solution

作　　者：郭璇[1,2] 孙文波[2] 张晓新 岳焕闯 马思远 

机构地区：[1]北京交通大学城市地下工程教育部重点实验室,北京100044 [2]北京交通大学土木建筑工程学院,北京100044 [3]中国中建设计集团有限公司专业设计一院,北京100037

出　　处：《振动与冲击》2017年第20期91-99,共9页Journal of Vibration and Shock

基　　金：国家自然科学基金(51378051;51678038);北京交通大学基本科研业务费(2017JBM083);霍英东教育基金会(122009);中国国家留学基金(201707095041)

摘　　要：基于能量守恒讨论动荷载的不同等效静力形式,给出地下圆形衬砌动载作用下的拟静力等效简易力学模型,基于自由变形法推导给出瞬间动载的模型内力极值理论解。对比既有地下结构衬砌顶爆及侧爆冲载的试验结果、初步考察建议模型的适用性及参数效应。对比发现,各种爆冲荷载的等效形式中,三角形荷载的等效选型结果对模型试验结果的适应性较好,初步满足解析解与数值模拟值的对比验证。模型参数效应明确,内力极值解方便工程应用。The theoretical formula of a pseudo-static equivalent model for impact dynamic load of underground circular lining and its internal force extreme value solution was given based on the conservation of energy in this paper.The equivalent load forms of different impact were discussed. The theoretical solution of the extreme value of the internal force of the model under transient impact load was derived based on the free deformation method. The internal force calculation formula under different equivalent forms of impact loads was obtained and calculation results were compared with results of the existing top blasting model test of circular tunnels. Preliminary validation of internal force and parameter efforts for circular lining under the blasting impact at the top of existing underground structure lining was compared with the model test results. It was found that the equivalent model of triangular load is the nearest style with the model test in the equivalent form of all kinds of blasting load. The conclusion is that the theoretical results agree with experimental values very well and the equivalent impact loads form of triangular is the most realistic in all equivalent forms. The proposed equivalent model of load and the extreme value of internal force formula are easy to be applied in engineering and design.

关 键 词：地下圆形衬砌 动载 等效简易模型 内力极值解 

分 类 号：TV554[水利工程—水利水电工程] U231[交通运输工程—道路与铁道工程]