SV波入射下衬砌尺寸对引水隧道动力响应的影响
|
摘要
采用波函数的Fourier-Bessel级数展开方法,得到了SV波入射时,大型引水隧道平面地震响应的解析解,并对建立的场地模型进行数值计算.计算结果表明:SV波入射时,引水隧道衬砌的径向动应力随隧道内径的增大而增大,径向动应力的最大值与隧道内径呈线性关系,SV波入射引起的引水隧道衬砌的切向动应力随隧道内径的增大而增大.当入射角小于临界角时,切向动应力受隧道内径变化的影响很大.此外,引水隧道衬砌的径向动应力随衬砌厚度的增大而增大,切向动应力则随衬砌厚度的增大而减小.
The Fourier-Bessel series expansion method is used to obtain the analytical solution of large-scale water diversion tunnel's seismic response induced by plane SV wave.The numerical results of the model are obtained by using the analytical solution.The research results show that both the dynamic radial stress and dynamic tangential stress of water diversion tunnel lining increase as the tunnel radius increases,and the maximum of dynamic radial stress is proportional to tunnel radius.Moreover,tunnel radius has a significant effect on dynamic tangential stress when the incident angle is less than the critical angle.In addition,dynamic radial stress increases and dynamic tangential stress decreases as the increase of lining thickness.
The Fourier-Bessel series expansion method is used to obtain the analytical solution of large-scale water diversion tunnel's seismic response induced by plane SV wave.The numerical results of the model are obtained by using the analytical solution.The research results show that both the dynamic radial stress and dynamic tangential stress of water diversion tunnel lining increase as the tunnel radius increases,and the maximum of dynamic radial stress is proportional to tunnel radius.Moreover,tunnel radius has a significant effect on dynamic tangential stress when the incident angle is less than the critical angle.In addition,dynamic radial stress increases and dynamic tangential stress decreases as the increase of lining thickness.
引文
[1]陈健云,刘金云.输水隧道流-固耦合地震反应研究[J].沈阳建筑大学学报:自然科学版,2006,22(2):242-247.CHEN Jianyun,LIU Jinyun.Study on seismic responseconcerning fluid-structure-soil coupling of water-supplyingtunnels[J].Journal of Shenyang Jianzhu University:Natu-ral Science,2006,22(2):242-247.(in Chinese)
[2]陈健云,刘金云.地震作用下输水隧道的流-固耦合分析[J].岩土力学,2006,27(7):1077-1081.CHEN Jianyun,LIU Jinyun.Fluid-structure couplinganalysis of water-conveyance tunnel subjected to seismic ex-citation[J].Rock and Soil Mechanics,2006,27(7):1077-1081.(in Chinese)
[3]刘金云,陈健云,胡志强.输水隧道在行波激励下的三维地震反应分析[J].防灾减灾工程学报,2007,27(1):11-16.CHEN Jianyun,LIU Jinyun,HU Zhiqiang.Three-dimen-sional seismic response analysis for water-supplying tunnelunder excitation of traveling waves[J].Journal of DisasterPrevention and Mitigation Engineering,2007,27(1):11-16.(in Chinese)
[4]刘金云,陈健云.输水隧道二维地震反应分析[J].哈尔滨工业大学学报,2008,40(8):1297-1301.LIU Jinyun,CHEN Jianyun.2-D seismic response analysisof water-conveying tunnel[J].Journal of Harbin Instituteof Technology,2008,40(8):1297-1301.(in Chinese)
[5]Davis C A,Lee V W,Bardet J P.Transverse response ofunderground cavities and pipes to incident SV waves[J].Earthquake Engineering&Structure Dynamics,2001,30(3):383-410.
[6]梁建文,纪晓东.地下衬砌洞室对Rayleigh波的放大作用[J].地震工程与工程振动,2006,26(4):24-31.LIANG Jianwen,JI Xiaodong.Amplification of Rayleighwaves due to underground lined cavities[J].EarthquakeEngineering and Engineering Vibration,2006,26(4):24-31.(in Chinese)
[7]纪晓东,梁建文,杨建江.地下圆形衬砌洞室在平面P波和SV波入射下动应力集中问题的级数解[J].天津大学学报,2006,39(5):511-517.JI Xiaodong,LIANG Jianwen,YANG Jianjiang.On dy-namic stress concentration of an underground cylindricallined cavity subjected to incident plane P and SV waves[J].Journal of Tianjin University,2006,39(5):511-517.(in Chinese)
[8]高广运,李育枢,李天斌.P波作用下浅埋圆形衬砌隧道动力反应分析[J].中南公路工程,2007,32(2):56-60.GAO Guangyun,LI Yushu,LI Tianbin.Dynamic analysisof shallow buried circular lining tunnel with vertical inci-dent P wave[J].Central South Highway Engineering,2007,32(2):56-60.(in Chinese)
[9]Ma H W,Chen W H.Analysis of seismic response of un-derwater saturated sand with a shield tunnel induced by Pwaves[C]//Recent developments of geotechnical engineer-ing.Proceedings of the fourth Japan-China geotechnicalsymposium.Okinawa,2010:614-621.
[10]Ma H W,Chen W H.Transverse response of underwatershield tunnel to incident P waves[J].Applied Mechanicsand Materials,2011,90-93:1602-1609.
[11]Cao H,Lee V W.Scattering and diffraction of plane Pwaves by circular cylindrical canyons with variable depth-to-width ratio[J].Soil Dynamics and Earthquake Engi-neering,1990,9(3):141-150.
[2]陈健云,刘金云.地震作用下输水隧道的流-固耦合分析[J].岩土力学,2006,27(7):1077-1081.CHEN Jianyun,LIU Jinyun.Fluid-structure couplinganalysis of water-conveyance tunnel subjected to seismic ex-citation[J].Rock and Soil Mechanics,2006,27(7):1077-1081.(in Chinese)
[3]刘金云,陈健云,胡志强.输水隧道在行波激励下的三维地震反应分析[J].防灾减灾工程学报,2007,27(1):11-16.CHEN Jianyun,LIU Jinyun,HU Zhiqiang.Three-dimen-sional seismic response analysis for water-supplying tunnelunder excitation of traveling waves[J].Journal of DisasterPrevention and Mitigation Engineering,2007,27(1):11-16.(in Chinese)
[4]刘金云,陈健云.输水隧道二维地震反应分析[J].哈尔滨工业大学学报,2008,40(8):1297-1301.LIU Jinyun,CHEN Jianyun.2-D seismic response analysisof water-conveying tunnel[J].Journal of Harbin Instituteof Technology,2008,40(8):1297-1301.(in Chinese)
[5]Davis C A,Lee V W,Bardet J P.Transverse response ofunderground cavities and pipes to incident SV waves[J].Earthquake Engineering&Structure Dynamics,2001,30(3):383-410.
[6]梁建文,纪晓东.地下衬砌洞室对Rayleigh波的放大作用[J].地震工程与工程振动,2006,26(4):24-31.LIANG Jianwen,JI Xiaodong.Amplification of Rayleighwaves due to underground lined cavities[J].EarthquakeEngineering and Engineering Vibration,2006,26(4):24-31.(in Chinese)
[7]纪晓东,梁建文,杨建江.地下圆形衬砌洞室在平面P波和SV波入射下动应力集中问题的级数解[J].天津大学学报,2006,39(5):511-517.JI Xiaodong,LIANG Jianwen,YANG Jianjiang.On dy-namic stress concentration of an underground cylindricallined cavity subjected to incident plane P and SV waves[J].Journal of Tianjin University,2006,39(5):511-517.(in Chinese)
[8]高广运,李育枢,李天斌.P波作用下浅埋圆形衬砌隧道动力反应分析[J].中南公路工程,2007,32(2):56-60.GAO Guangyun,LI Yushu,LI Tianbin.Dynamic analysisof shallow buried circular lining tunnel with vertical inci-dent P wave[J].Central South Highway Engineering,2007,32(2):56-60.(in Chinese)
[9]Ma H W,Chen W H.Analysis of seismic response of un-derwater saturated sand with a shield tunnel induced by Pwaves[C]//Recent developments of geotechnical engineer-ing.Proceedings of the fourth Japan-China geotechnicalsymposium.Okinawa,2010:614-621.
[10]Ma H W,Chen W H.Transverse response of underwatershield tunnel to incident P waves[J].Applied Mechanicsand Materials,2011,90-93:1602-1609.
[11]Cao H,Lee V W.Scattering and diffraction of plane Pwaves by circular cylindrical canyons with variable depth-to-width ratio[J].Soil Dynamics and Earthquake Engi-neering,1990,9(3):141-150.
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