地下圆形衬砌动载等效简易模型及内力极值解
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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.
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.
引文
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[2]关宝树.隧道工程设计要点集[M].北京:人民交通出版社,2003.
[3]刘建航,侯学渊.盾构法隧道[M].北京:中国铁道出版社,1991.
[4]施仲衡.地下铁道设计与施工[M].西安:陕西科学技术出版社,1997.
[5]钱七虎.岩石爆炸动力学的若干进展[J].岩石力学与工程学报,2009,28(10):1945-1968.QIAN Qihu.Some advances in rock blasting dynamics[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(10):1945-1968.
[6]川島一彦.地下構造物の耐震設計[M].日本:鹿島出版会,1994.
[7]周凤玺,马强,赖远明.含液饱和多孔波阻板的地基振动控制研究[J].振动与冲击,2016,35(1):96-105.ZHOU Fengxi,MA Qiang,LAI Yuanming.Ground vibration control with fluid-saturated porous wave impeding blocks[J].Journalof Vibration and Shock,2016,35(1):96-105.
[8]杨刚,郑建民,胡德安.含铝炸药在混凝土介质中爆炸响应的FE-SPH算法模拟研究[J].振动与冲击,2016,35(1):28-33.YANG Gang,ZHENG Jianmin,HU De’an.FE-SPH method for simulating explosion response of aluminized explosives in concrete[J].Journalof Vibration and Shock,2016,35(1):28-33.
[9]李兴华,龙源,纪冲,等.爆破地震波作用下既有圆形隧道衬砌动应力集中系数分析[J].岩土力学,2013,34(8):2218-2224.LI Xinghua,LONG Yuan,JI Chong,et al.Analysis of dynamic stress concentration factor for existing circular tunnel lining under blasting seismic wave[J].Rock and Soil Mechanics,2013,34(8):2218-2224.
[10]马立秋.爆炸荷载下城市浅埋隧道动力离心模型试验和数值研究[D].北京:清华大学,2010.
[11]王勇,孔令伟,郭爱国,等.浅层气地层对地下稳定性影响模型试验研究[J].岩土力学,2010,31(11):3423-3429.WANG Yong,KONG Lingwei,GUO Aiguo,et al.Model test research on influences of shallow gas stratum on stability of metro tunnel[J].Rock and Soil Mechanics,2010,31(11):3423-3429.