爆炸地震波作用下深埋圆形隧道的动力响应分析
|
摘要
深地下结构在爆炸地震波作用下的动力响应是防护工程设计和评估的重要问题,发展适应深部特点的快速计算方法具有重要意义。采用集中质量方法将圆形隧道离散为有限自由度体系,并将爆炸地震波的作用看作一系列作用在集中质量上的动力,利用局部变形理论将围岩的弹性抗力简化为弹性链杆,采用矩阵力法考虑结构在各种内力作用下产生的自身变形和弹性半空间的变形,并据此建立结构动力方程矩阵。通过对结构动力方程的求解,可以得到结构的动力集中系数和结构内力、弯矩、位移等参数。采用所提出的方法计算一个算例,分析围岩等级、荷载作用位置、正压作用时间以及入射波角度等因素对隧道衬砌结构动力响应的影响。
The dynamic response of a deep-buried protected structure is of great importance under conditions of war or incident explosions.Hence there is a need to develop appropriate rapid algorithm to study this dynamic soil-structure interaction.In this paper,the lining structure of circular tunnel is discretized as a system with limited freedoms,and the explosion seismic wave is regarded as a series of dynamic forces acting on concentrated masses.The elastic resistances are simplified as elastic chain-pole by local deformation theory.Matrix force method is adopted to analyze the deformation of structure in elastic half-space,on the foundation of which the structural dynamic equation is established.By solving the structural dynamic equation,we can obtain the structure?s dynamic concentration coefficient,internal force,moment,displacements,etc..The influences of rock grade,loading location,duration of positive pressure and incident wave angle are investigated through a case study.
The dynamic response of a deep-buried protected structure is of great importance under conditions of war or incident explosions.Hence there is a need to develop appropriate rapid algorithm to study this dynamic soil-structure interaction.In this paper,the lining structure of circular tunnel is discretized as a system with limited freedoms,and the explosion seismic wave is regarded as a series of dynamic forces acting on concentrated masses.The elastic resistances are simplified as elastic chain-pole by local deformation theory.Matrix force method is adopted to analyze the deformation of structure in elastic half-space,on the foundation of which the structural dynamic equation is established.By solving the structural dynamic equation,we can obtain the structure?s dynamic concentration coefficient,internal force,moment,displacements,etc..The influences of rock grade,loading location,duration of positive pressure and incident wave angle are investigated through a case study.
引文
[1]BULSON P S.Explosive loading of engineering structures[M].London:Spon Press,1997.
[2]唐建曾.冲击波对工程结构及装备的动载试验研究[J].流体力学实验与测量,2000,14(3):43–46.(TANG Jianzeng.Experimentalstudy on dynamic loading of shock wave on structure and equipment[J].Experiments in Fluid Mechanics and Measurements,2000,14(3):43–46.(in Chinese))
[3]马维.地下管道结构爆振效应和冲击破坏行为研究[J].解放军理工大学学报:自然科学版,2008,9(1):39–46.(MA Wei.Investigations on effects of blast vibration and behaviors of impactingfailure of underground pipeline structures[J].Journal of PLA University ofScience and Technology:Natural Science,2008,9(1):39–46.(inChinese))
[4]沈俊,顾金才,陈安敏,等.岩土工程抗爆结构模型试验装置研制及应用[J].地下空间与工程学报,2007,3(6):1077–1080.(SHEN Jun,GU Jincai,CHEN Anmin,et al.Development andapplications of the model test apparatus on anti-explosion structures ingeotechnical engineering[J].Chinese Journal of Underground Spaceand Engineering,2007,3(6):1 077–1 080.(in Chinese))
[5]辛凯,姜忻良,吴祥云.爆炸荷载作用下2相饱和土中结构响应试验研究[J].岩石力学与工程学报,2009,28(增2):4065–4070.(XIN Kai,JIANG Xinliang,WU Xiangyun.Experimental study onstructure response in two-phase saturated soil under blasting load[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(Supp.2):4 065–4 070.(in Chinese))
[6]NATEGHI R,KIANY M,GHOLIPOURI O.Control negative effectsof blasting waves on concrete of the structures by analyzing ofparameters of ground vibration[J].Tunnelling and Underground SpaceTechnology,2009,24(6):508–515.
[7]AKIYOLOI T,FUSCHIDA K.Soil-pipelines interaction through africtional interface during earthquake[J].Soil Dynamic and EarthquakeEngineering,1984,3(1):77–81.
[8]PENZEN J,WU C L.Stress in linings of bored tunnels[J].EarthquakeEngineering and Structure Dynamics,1988,27(3):283–300.
[9]DRAKE J L,WALKER R E,SLAWSON T.Backfill effect on buriedstructure response[C]//Proceedings of the Fourth InternationalSymposium on the Interaction of Non-nuclear Munitions withStructures.[S.l.]:[s.n.],1989:209–221.
[10]高盟,高广运,王滢,等.均布突加荷载作用下圆柱形衬砌振动响应的解析解[J].岩土工程学报,2010,32(2):237–242.(GAOMeng,GAO Guangyun,WANG Ying,et al.Analytical solution ondynamic response of lining subjected to sudden internal uniformloading[J].Chinese Journal of Geotechnical Engineering,2010,32(2):237–242.(in Chinese))
[11]FELDGUN V R,KOCHETKOV A V,KARINSKI Y S,et al.Blastresponse of a lined cavity in a porous saturated soil[J].InternationalJournal of Impact Engineering,2008,35(9):953–966.
[12]国胜兵,王明洋,赵跃堂,等.爆炸地震波作用下地下结构动力响应数值分析[J].世界地震工程,2004,20(4):137–142.(GUOShengbing,WANG Mingyang,ZHAO Yuetang,et al.Dynamic numerical analysisof underground structures under action of explosion seismic wave[J].World Information on Earthquake Engineering,2004,20(4):137–142.(in Chinese))
[13]LU Y,WANG Z,CHONG K.A comparative study of buried structurein soil subjected to blast load using 2D and 3D numerical simulations[J].Soil Dynamic and Earthquake Engineering,2005,25(4):275–288.
[14]SHIN J H,MOON H G,CHAE S E.Effect of blast-induced vibrationon existing tunnels in soft rocks[J].Tunnelling and UndergroundSpace Technology,2011,26(1):51–61.
[15]李杰,王明洋,王德荣.地下爆炸地震效应的评价标准探讨[J].岩土力学,2010,31(12):3842–3848.(LI Jie,WANG Mingyang,WANG Derong.Evaluation standard for underground blast inducedseismic effect[J].Rock and Soil Mechanics,2010,31(12):3 842–3 848.(in Chinese))
[16]JIANG N,ZHOU C B.Blasting vibration safety criterion for a tunnelliner structure[J].Tunnelling and Underground Space Technology,2012,27(1):52–57.
[17]WU H,FANG Q,ZHANG Y D,et al.Mechanism of Pendulum-typewave phenomenon in deep block rock mass[J].Mining Science andTechnology,2009,19(6):699–708.
[18]冯淑芳,王明洋,任广昊,等.深地下坑道衬砌结构抗局部冲击计算方法研究[J].岩石力学与工程学报,2011,30(6):1149–1156.(FENG Shufang,WANG Mingyang,REN Guanghao,et al.Researchon calculation method for local impact of deep tunnel liningstructure[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(6):1 149–1 156.(in Chinese))
[19]KERR A D.Elastic and viscoelastic foundation models[J].Journal ofApplied Mechanics,1964,31(3):491–498.
[20]PRZEMIENIECKI J S.Theory of matrix structural analysis[M].NewYork:Dover Publications,1985:1–50.
[21]CLOUGH R W,PENZIEN J.Dynamics of structures[M].Berkeley:Computers and Structures,Inc.,2003:73–84.
[22]王瑞民,华毅杰,武建勋.半空间地下结构与土相互作用的链杆法研究[J].同济大学学报:自然科学版,1999,27(4):495–498.(WANG Ruimin,HUA Yijie,WU Jianxun.Chain-bar method analysisof soil and underground structure interaction in semi-space[J].Journalof Tongji University:Natural Science,1999,27(4):495–498.(in Chinese))
[23]CARRER J A M,TELLES J C F.A boundary element formulation tosolve transient dynamic elastoplastic problems[J].Computers andStructures,1992,45(4):707–713.
[24]BARON M L,BLEICH H H.Dynamic elastoplastic analysis ofstructures[J].Journal of Engineering Mechanics Division,ASCE,1961,77(1):1–15.
[25]中华人民共和国行业标准编写组.JTG D70—2004公路隧道设计规范[S].北京:人民交通出版社,2004.(The Professional StandardsCompilation Group of People s Republic of China.JTG D70—2004Code for design of road tunnel[S].Beijing:China CommunicationPress,2004.(in Chinese))
[2]唐建曾.冲击波对工程结构及装备的动载试验研究[J].流体力学实验与测量,2000,14(3):43–46.(TANG Jianzeng.Experimentalstudy on dynamic loading of shock wave on structure and equipment[J].Experiments in Fluid Mechanics and Measurements,2000,14(3):43–46.(in Chinese))
[3]马维.地下管道结构爆振效应和冲击破坏行为研究[J].解放军理工大学学报:自然科学版,2008,9(1):39–46.(MA Wei.Investigations on effects of blast vibration and behaviors of impactingfailure of underground pipeline structures[J].Journal of PLA University ofScience and Technology:Natural Science,2008,9(1):39–46.(inChinese))
[4]沈俊,顾金才,陈安敏,等.岩土工程抗爆结构模型试验装置研制及应用[J].地下空间与工程学报,2007,3(6):1077–1080.(SHEN Jun,GU Jincai,CHEN Anmin,et al.Development andapplications of the model test apparatus on anti-explosion structures ingeotechnical engineering[J].Chinese Journal of Underground Spaceand Engineering,2007,3(6):1 077–1 080.(in Chinese))
[5]辛凯,姜忻良,吴祥云.爆炸荷载作用下2相饱和土中结构响应试验研究[J].岩石力学与工程学报,2009,28(增2):4065–4070.(XIN Kai,JIANG Xinliang,WU Xiangyun.Experimental study onstructure response in two-phase saturated soil under blasting load[J].Chinese Journal of Rock Mechanics and Engineering,2009,28(Supp.2):4 065–4 070.(in Chinese))
[6]NATEGHI R,KIANY M,GHOLIPOURI O.Control negative effectsof blasting waves on concrete of the structures by analyzing ofparameters of ground vibration[J].Tunnelling and Underground SpaceTechnology,2009,24(6):508–515.
[7]AKIYOLOI T,FUSCHIDA K.Soil-pipelines interaction through africtional interface during earthquake[J].Soil Dynamic and EarthquakeEngineering,1984,3(1):77–81.
[8]PENZEN J,WU C L.Stress in linings of bored tunnels[J].EarthquakeEngineering and Structure Dynamics,1988,27(3):283–300.
[9]DRAKE J L,WALKER R E,SLAWSON T.Backfill effect on buriedstructure response[C]//Proceedings of the Fourth InternationalSymposium on the Interaction of Non-nuclear Munitions withStructures.[S.l.]:[s.n.],1989:209–221.
[10]高盟,高广运,王滢,等.均布突加荷载作用下圆柱形衬砌振动响应的解析解[J].岩土工程学报,2010,32(2):237–242.(GAOMeng,GAO Guangyun,WANG Ying,et al.Analytical solution ondynamic response of lining subjected to sudden internal uniformloading[J].Chinese Journal of Geotechnical Engineering,2010,32(2):237–242.(in Chinese))
[11]FELDGUN V R,KOCHETKOV A V,KARINSKI Y S,et al.Blastresponse of a lined cavity in a porous saturated soil[J].InternationalJournal of Impact Engineering,2008,35(9):953–966.
[12]国胜兵,王明洋,赵跃堂,等.爆炸地震波作用下地下结构动力响应数值分析[J].世界地震工程,2004,20(4):137–142.(GUOShengbing,WANG Mingyang,ZHAO Yuetang,et al.Dynamic numerical analysisof underground structures under action of explosion seismic wave[J].World Information on Earthquake Engineering,2004,20(4):137–142.(in Chinese))
[13]LU Y,WANG Z,CHONG K.A comparative study of buried structurein soil subjected to blast load using 2D and 3D numerical simulations[J].Soil Dynamic and Earthquake Engineering,2005,25(4):275–288.
[14]SHIN J H,MOON H G,CHAE S E.Effect of blast-induced vibrationon existing tunnels in soft rocks[J].Tunnelling and UndergroundSpace Technology,2011,26(1):51–61.
[15]李杰,王明洋,王德荣.地下爆炸地震效应的评价标准探讨[J].岩土力学,2010,31(12):3842–3848.(LI Jie,WANG Mingyang,WANG Derong.Evaluation standard for underground blast inducedseismic effect[J].Rock and Soil Mechanics,2010,31(12):3 842–3 848.(in Chinese))
[16]JIANG N,ZHOU C B.Blasting vibration safety criterion for a tunnelliner structure[J].Tunnelling and Underground Space Technology,2012,27(1):52–57.
[17]WU H,FANG Q,ZHANG Y D,et al.Mechanism of Pendulum-typewave phenomenon in deep block rock mass[J].Mining Science andTechnology,2009,19(6):699–708.
[18]冯淑芳,王明洋,任广昊,等.深地下坑道衬砌结构抗局部冲击计算方法研究[J].岩石力学与工程学报,2011,30(6):1149–1156.(FENG Shufang,WANG Mingyang,REN Guanghao,et al.Researchon calculation method for local impact of deep tunnel liningstructure[J].Chinese Journal of Rock Mechanics and Engineering,2011,30(6):1 149–1 156.(in Chinese))
[19]KERR A D.Elastic and viscoelastic foundation models[J].Journal ofApplied Mechanics,1964,31(3):491–498.
[20]PRZEMIENIECKI J S.Theory of matrix structural analysis[M].NewYork:Dover Publications,1985:1–50.
[21]CLOUGH R W,PENZIEN J.Dynamics of structures[M].Berkeley:Computers and Structures,Inc.,2003:73–84.
[22]王瑞民,华毅杰,武建勋.半空间地下结构与土相互作用的链杆法研究[J].同济大学学报:自然科学版,1999,27(4):495–498.(WANG Ruimin,HUA Yijie,WU Jianxun.Chain-bar method analysisof soil and underground structure interaction in semi-space[J].Journalof Tongji University:Natural Science,1999,27(4):495–498.(in Chinese))
[23]CARRER J A M,TELLES J C F.A boundary element formulation tosolve transient dynamic elastoplastic problems[J].Computers andStructures,1992,45(4):707–713.
[24]BARON M L,BLEICH H H.Dynamic elastoplastic analysis ofstructures[J].Journal of Engineering Mechanics Division,ASCE,1961,77(1):1–15.
[25]中华人民共和国行业标准编写组.JTG D70—2004公路隧道设计规范[S].北京:人民交通出版社,2004.(The Professional StandardsCompilation Group of People s Republic of China.JTG D70—2004Code for design of road tunnel[S].Beijing:China CommunicationPress,2004.(in Chinese))
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心