地基动刚度对地下管线随机地震响应的影响
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摘要
地基动刚度随频率的变化直接影响地下管线的反应,为此,利用Mindlin解和弹性半空间动力基本解分别求得地基的静刚度和动刚度,然后采用随机振动的虚拟激励法计算了均匀介质中地下管线纵向和横向的地震响应.研究结果表明,随着埋深的增大,地基动刚度对频率的变化越来越敏感,与静刚度有明显差别;地基静刚度可近似替代动刚度的根本原因是地面位移自功率谱的低频特性,即地震输入的地面位移自功率谱的有效值均在低频区,而高频部分几乎为零.
The response of underground pipeline is affected directly by the variation of dynamic stiffness of founda-tion with frequency.Based on Mindlin solution and dynamic basic solution of elastic half-space,static stiffness and dynamic stiffness of foundation were obtained respectively,then seismic responses of underground pipeline in both longitudinal and lateral directions in uniform medium were calculated respectively by pseudo-excitation method in random vibration theory.The results show that with the increase of buried depth,dynamic stiffness is more and more sensitive to the change of frequency,and is obviously different from the static one;and essentially due to the low-frequency characteristic of auto-power spectral density(PSD) function of ground displacement,namely,regarded as seismic input,auto-PSD function of ground displacement is effective in the low-frequency range,and almost zero in the high-frequency range,dynamic stiffness could be replaced approximately by the static one.
The response of underground pipeline is affected directly by the variation of dynamic stiffness of founda-tion with frequency.Based on Mindlin solution and dynamic basic solution of elastic half-space,static stiffness and dynamic stiffness of foundation were obtained respectively,then seismic responses of underground pipeline in both longitudinal and lateral directions in uniform medium were calculated respectively by pseudo-excitation method in random vibration theory.The results show that with the increase of buried depth,dynamic stiffness is more and more sensitive to the change of frequency,and is obviously different from the static one;and essentially due to the low-frequency characteristic of auto-power spectral density(PSD) function of ground displacement,namely,regarded as seismic input,auto-PSD function of ground displacement is effective in the low-frequency range,and almost zero in the high-frequency range,dynamic stiffness could be replaced approximately by the static one.
引文
[1]Hindy A,Novak M.Pipeline response to random ground motion[J].Journal of Engineering Mechanics,ASCE,1980,106:339-360.
[2]Zerva A,Ang A S H,Wen Y K.Lifeline response to spa-tially variable ground motion[J].Earthquake Engineer-ing and Structural Dynamics1,9881,6(3):361-379.
[3]周建,王前信.地下管道随机反应及动力可靠性分析[J].土木工程学报,1993,26(4)5:4-60.Zhou Jian,Wang Qianxin.Random response and dy-namic reliability analysis of underground pipeline[J].China Civil Engineering Journal,1993,26(4)5:4-60(in Chinese).
[4]帅健,吕英民,蔡强康.埋地管道的平稳随机振动[J].石油大学学报:自然科学版,1999,23(4)6:5-70.Shuai Jian,LüYingmin,Cai Qiangkang.Stationary ran-dom vibrations of buried pipelines[J].Journal of the University of Petroleum,China:Edition of Natural Sci-ence1,999,23(4):65-70(in Chinese).
[5]屈铁军,王前信.地下管线在空间随机分布的地震作用下的反应[J].工程力学,2003,20(3)1:20-124.Qu Tiejun,Wang Qianxin.Seismic response of under-ground pipelines to ground motion with spatial random-ness[J].Engineering Mechanics,2003,20(3):120-124(in Chinese).
[6]Banerjee P K,Mamoon S M.A fundamental solution due to a periodic point force in interior of an elastic half-space[J].Earthquake Engineering and Structural Dy-namics1,9901,99:-15.
[7]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004.Lin Jiahao,Zhang Yahui.Pseudo-Excitation Method for Random Vibration[M].Beijing:Science Press,2004(in Chinese).
[8]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1,9961,8(1):55-62.Qu Tiejun,Wang Junjie,Wang Qianxin.A practical model for the power spectrum of spatially variant ground motion[J].Acta Seismologica Sinica,1996,18(1):55-62(in Chinese).
[9]Harichandran R S,Vanmarcke E H.Stochastic variation of earthquake ground motion in space and time[J].Jour-nal of Engineering Mechanics,ASCE,1986,112(2):154-175.
[10]Loh C H,Yeh Y T.Spatial variation and stochastic model-ing of seismic differential ground movement[J].Earth-quake Engineering and Structural Dynamics,1988,16(5)5:83-596.
[11]胡聿贤,周锡元.弹性体系在平稳和平稳化地面运动下的反应[R].地震工程研究报告集.北京:科学出版社,1962:33-50.Hu Yuxian,Zhou Xiyuan.Response of Elastic Systems Under Stationary Ground Motion[R].Report on Earth-quake Engineering.Beijing:Science Press,1962:33-50(in Chinese).
[12]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1,9981,8(2):25-32.Qu Tiejun,Wang Qianxin.Simulation of spatial correla-tive time histories of multi-point ground motion(PartⅡ):Application of fundamental formulas[J].Earth-quake Engineering and Engineering Vibration,1998,18(2):25-32(in Chinese).
[2]Zerva A,Ang A S H,Wen Y K.Lifeline response to spa-tially variable ground motion[J].Earthquake Engineer-ing and Structural Dynamics1,9881,6(3):361-379.
[3]周建,王前信.地下管道随机反应及动力可靠性分析[J].土木工程学报,1993,26(4)5:4-60.Zhou Jian,Wang Qianxin.Random response and dy-namic reliability analysis of underground pipeline[J].China Civil Engineering Journal,1993,26(4)5:4-60(in Chinese).
[4]帅健,吕英民,蔡强康.埋地管道的平稳随机振动[J].石油大学学报:自然科学版,1999,23(4)6:5-70.Shuai Jian,LüYingmin,Cai Qiangkang.Stationary ran-dom vibrations of buried pipelines[J].Journal of the University of Petroleum,China:Edition of Natural Sci-ence1,999,23(4):65-70(in Chinese).
[5]屈铁军,王前信.地下管线在空间随机分布的地震作用下的反应[J].工程力学,2003,20(3)1:20-124.Qu Tiejun,Wang Qianxin.Seismic response of under-ground pipelines to ground motion with spatial random-ness[J].Engineering Mechanics,2003,20(3):120-124(in Chinese).
[6]Banerjee P K,Mamoon S M.A fundamental solution due to a periodic point force in interior of an elastic half-space[J].Earthquake Engineering and Structural Dy-namics1,9901,99:-15.
[7]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004.Lin Jiahao,Zhang Yahui.Pseudo-Excitation Method for Random Vibration[M].Beijing:Science Press,2004(in Chinese).
[8]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1,9961,8(1):55-62.Qu Tiejun,Wang Junjie,Wang Qianxin.A practical model for the power spectrum of spatially variant ground motion[J].Acta Seismologica Sinica,1996,18(1):55-62(in Chinese).
[9]Harichandran R S,Vanmarcke E H.Stochastic variation of earthquake ground motion in space and time[J].Jour-nal of Engineering Mechanics,ASCE,1986,112(2):154-175.
[10]Loh C H,Yeh Y T.Spatial variation and stochastic model-ing of seismic differential ground movement[J].Earth-quake Engineering and Structural Dynamics,1988,16(5)5:83-596.
[11]胡聿贤,周锡元.弹性体系在平稳和平稳化地面运动下的反应[R].地震工程研究报告集.北京:科学出版社,1962:33-50.Hu Yuxian,Zhou Xiyuan.Response of Elastic Systems Under Stationary Ground Motion[R].Report on Earth-quake Engineering.Beijing:Science Press,1962:33-50(in Chinese).
[12]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1,9981,8(2):25-32.Qu Tiejun,Wang Qianxin.Simulation of spatial correla-tive time histories of multi-point ground motion(PartⅡ):Application of fundamental formulas[J].Earth-quake Engineering and Engineering Vibration,1998,18(2):25-32(in Chinese).
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