考虑地震动空间非一致性的岩体地下洞室群地震反应分析
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摘要
阐述人工合成考虑空间非一致性的多点地震动加速度时程步骤,提供合理的空间非一致地震动输入。在此基础上,建立一大型地下洞室群的三维数值计算模型,分析一致与非一致两种地震动输入情况下该地下洞室群的地震响应特征。研究结果表明,洞室群地震响应与激振源的位移时程曲线形式接近,表明围岩的惯性效应可以忽略;地震波幅值对于地下洞室地震响应具有决定性作用,而地震动的空间非一致特性对于讨论的轴向长度水平(轴线长度尺寸为300～400 m)的地下洞室的破坏未产生不利影响。因此,在进行类似的岩体地下洞室地震动安全评价时可以不考虑地震动空间非一致性的影响。
Procedures for artificial simulation of multi-point seismic acceleration histories with consideration of spatially non-uniform seismic ground motion are demonstrated to provide reasonable ground motion input for the numerical models.By establishing three-dimensional numerical model of underground rock cavern groups,seismic responses of the underground cavern groups under spatially uniform and non-uniform ground motion are carried out.It is shown that:(1) seismic response of the cavern groups is very similar to the time-history curves of displacement of the exciting sources,which indicates that the inertial effect of the rock mass can be ignored;and(2) seismic response mainly depends on the amplitude of the seismic waves;the spatial non-uniform effect has no negative impact on the underground cavern groups under the axial length ranging from 300 m to 400 m.Spatially non-uniform seismic ground motion,therefore,cannot be taken into account in the seismic safety assessment of the similar underground rock cavern groups.
Procedures for artificial simulation of multi-point seismic acceleration histories with consideration of spatially non-uniform seismic ground motion are demonstrated to provide reasonable ground motion input for the numerical models.By establishing three-dimensional numerical model of underground rock cavern groups,seismic responses of the underground cavern groups under spatially uniform and non-uniform ground motion are carried out.It is shown that:(1) seismic response of the cavern groups is very similar to the time-history curves of displacement of the exciting sources,which indicates that the inertial effect of the rock mass can be ignored;and(2) seismic response mainly depends on the amplitude of the seismic waves;the spatial non-uniform effect has no negative impact on the underground cavern groups under the axial length ranging from 300 m to 400 m.Spatially non-uniform seismic ground motion,therefore,cannot be taken into account in the seismic safety assessment of the similar underground rock cavern groups.
引文
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[15]高谦,乔兰,吴顺川,等.地下工程系统分析与设计[M].北京:中国建材工业出版社,2005.(GAO Qian,QIAO Lan,WU Shunchuan,et al.Systematic analysis and design of underground engineering[M].Beijing:China Building Material Industry Publishing House,2005.(in Chinese))
[16]廖振鹏.工程波动理论导论[M].2版.北京:科学出版社,2002.(LIAO Zhenpeng.Introduction to wave motion theories for engineering[M].2nd ed.Beijing:Science Press,2002.(in Chinese))
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[19]DOWDING C H,ROZEN A.Damage to rock tunnels from earthquake shaking[J].Journal of the Geotechnical Engineering Division,ASCE,1978,104(2):175-191.
[20]SHARMA S,JUDD W R.Underground opening damage from earthquakes[J].Engineering Geology,1991,30(3/4):263-276.
[2]董汝博,周晶,冯新.非平稳空间相关多点地震动合成方法研究[J].地震工程与工程振动,2007,27(3):10-14.(DONG Rubo,ZHOU Jing,FENG Xin.Simulation of non-stationary spatial correlative time histories of multi-point ground motion[J].Journal of Earthquake Engineering and Engineering Vibration,2007,27(3):10-14.(in Chinese))
[3]楼梦麟,林皋.地震动空间相关性对水坝地震反应的影响[J].水力发电学报,1984,(2):36-46.(LOU Menglin,LIN Gao.The effects of spatial correlation of seismic motion on earthquake response of dams[J].Journal of Hydroelectric Engineering,1984(,2):36-46.(in Chinese))
[4]屈铁军,王前信.地下管线多点地震激励纵向振动的级数解[J].地震工程与工程振动,1993,13(4):39-46.(QU Tiejun,WANG Qianxin.Responses of underground pipeline to multi-support longitudinal excitations[J].Journal of Earthquake Engineering and Engineering Vibration,1993,13(4):39-46.(in Chinese))
[5]李正农,楼梦麟.大跨度桥梁结构地震动输入问题的研究现状[J].同济大学学报,1999,27(5):592-597.(LI Zhengnong,LOU Menglin.Research status in earthquake input of large-span bridges[J].Journal of Tongji University,1999,27(5):592-597.(in Chinese))
[6]梁嘉庆.大跨空间结构在非一致地震输入下的弹性响应分析[硕士学位论文][D].南京:东南大学,2004.(LIANG Jiaqing.Study on elastic vibration of space structures under non-uniform excitations[M.S.Thesis][D].Nanjing:Southeast University,2004.(in Chinese))
[7]韩大建,唐增洪.珠江水下沉管隧道的抗震分析与设计(II)——行波法[J].华南理工大学学报(自然科学版),1999,27(11):122-130.(HAN Dajian,TANG Zenghong.Aseismic analysis and design of the Pearl River tunnel(II)—travelling wave method[J].Journal of South China University of Technology(Natural Science),1999,27(11):122-130.(in Chinese))
[8]Itasca Consulting Group Inc..FLAC3D(fast Lagrangian analysis of continua in 3D)optional features(version 3.0)[R].Minneapolis,USA:Itasca Consulting Group Inc.,2005.
[9]屈铁军,王前信.空间相关的多点地震动合成(I)基本公式[J].地震工程与工程振动,1998,18(1):8-15.(QU Tiejun,WANG Qianxin.Simulation of spatial correlative time histories of multi-point ground motion,part I:fundamental formulas[J].Journal of Earthquake Engineering and Engineering Vibration,1998,18(1):8-15.(in Chinese))
[10]屈铁军,王前信.空间相关的多点地震动合成(II)合成实例[J].地震工程与工程振动,1998,18(2):25-32.(QU Tiejun,WANG Qianxin.Simulation of spatial correlative time histories of multi-point ground motion,part II:application of fundamental formulas[J].Journal of Earthquake Engineering and Engineering Vibration,1998,18(2):25-32.(in Chinese))
[11]杨自强,魏公毅.综述:产生伪随机数的若干新方法[J].数值计算与计算机应用,2001,(3):201-216.(YANG Ziqiang,WEI Gongyi.A review on some new methods to generate random numbers[J].Journal of Numerical Methods and Computer Applications,2001,(3):201-216.(in Chinese))
[12]盛骤,谢式千,潘承毅.概率论与数理统计[M].3版.北京:高等教育出版社,2001.(SHENG Zhou,XIE Shiqian,PAN Chengyi.Probability theory and mathematical statistics[M].3rd ed.Beijing:Higher Education Press,2001.(in Chinese))
[13]屈铁军,王君杰,王前信.空间变化的地震动功率谱的实用模型[J].地震学报,1996,18(1):55-62.(QU Tiejun,WANG Junjie,WANG Qianxin.Utility model of spatial correlative ground motion spectrum[J].Acta Seismologica Sinica,1996,18(1):55-62.(in Chinese))
[14]YANG J,LI J B,LIN G.A simple approach to integration of acceleration data for dynamic soil-structure interaction analysis[J].Soil Dynamics and Earthquake Engineering,2006,26(8):725-734.
[15]高谦,乔兰,吴顺川,等.地下工程系统分析与设计[M].北京:中国建材工业出版社,2005.(GAO Qian,QIAO Lan,WU Shunchuan,et al.Systematic analysis and design of underground engineering[M].Beijing:China Building Material Industry Publishing House,2005.(in Chinese))
[16]廖振鹏.工程波动理论导论[M].2版.北京:科学出版社,2002.(LIAO Zhenpeng.Introduction to wave motion theories for engineering[M].2nd ed.Beijing:Science Press,2002.(in Chinese))
[17]胡聿贤.地震工程学[M].北京:地震出版社,1988.(HU Yuxian.Earthquake engineering[M].Beijing:Earthquake Press,1988.(in Chinese))
[18]大崎顺彦.地震动的谱分析入门[M].吕敏申,谢礼立译.北京:地震出版社,1980.(OHSAKI Y.Introduction to the spectral analysis of ground motion[M].Translated by LU Minshen,XIE Lili.Beijing:Earthquake Press,1980.(in Chinese))
[19]DOWDING C H,ROZEN A.Damage to rock tunnels from earthquake shaking[J].Journal of the Geotechnical Engineering Division,ASCE,1978,104(2):175-191.
[20]SHARMA S,JUDD W R.Underground opening damage from earthquakes[J].Engineering Geology,1991,30(3/4):263-276.
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