反应加速度法和反应位移法精度随结构埋深变化的研究
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摘要
从理论方程上,看不出反应加速度法和反应位移法的精度会随地下结构埋深而变化,因此为确定其精度,设定不同场地条件下、不同埋深的城市轨道交通箱型地下结构为基准模型。使用反应加速度法、反应位移法、修正的反应位移法和时间历程法计算基准模型的结构内力,评价前三种方法随埋深变化的精度。结果表明:前三种方法的精度会受到场地类型、土层厚度和结构埋深的影响;若以时间历程法为基准,反应位移法的精度要低于反应加速度法和修正的反应位移法;反应加速度法和修正反应位移法的精度受埋深影响较小,反应位移法在埋深较小时精度尚可。
The conclusion that the accuracy of the response acceleration method( RAM) and response displacement method( RDM) is unchange with different imbedding depths of underground structures is only based on the theoretical equations of the above two methods. The performances of three methods,the RAM,RDM and modified response displacement method( MRDM),were evaluated and compared with that of the dynamic time history method through a selected benchmark numerical example. The internal forces in the underground structure were computed in different geological conditions and with different depths. It is found that if the time history method is selected as a benchmark,the RAM,RDM and MRDM are affected by the site classification,soil thickness and embedment depth. The RAM and MRDM are generally superior to the RDM. It is also found that the RAM and MRDM are slightly affected by the embedment depth and RDM is only suitable for shallow underground structures.
The conclusion that the accuracy of the response acceleration method( RAM) and response displacement method( RDM) is unchange with different imbedding depths of underground structures is only based on the theoretical equations of the above two methods. The performances of three methods,the RAM,RDM and modified response displacement method( MRDM),were evaluated and compared with that of the dynamic time history method through a selected benchmark numerical example. The internal forces in the underground structure were computed in different geological conditions and with different depths. It is found that if the time history method is selected as a benchmark,the RAM,RDM and MRDM are affected by the site classification,soil thickness and embedment depth. The RAM and MRDM are generally superior to the RDM. It is also found that the RAM and MRDM are slightly affected by the embedment depth and RDM is only suitable for shallow underground structures.
引文
[1]刘如山,胡少卿,石宏彬.地下结构抗震计算中拟静力法的地震荷载施加方法研究[J].岩土工程学报,2007,29(2):237-242.LIU Rushan,HU Shaoqing,SHI Hongbin.Study on seismic loading of pseuo-static approach used in the seismic design of underground structure[J].Chinese Journal of Geotechnical Engineering,2007,29(2):237-242.
[2]董正方,王君杰,姚毅超.深埋盾构隧道结构抗震设计方法评价[J].振动与冲击,2012,31(19):79-85.DONG Zhengfang,WANG Junjie,YAO Yichao.Evaluation of seismic design methods for a deeply-buried shield tunnel[J].Journal of Vibration and Shock,2012,31(19):79-85.
[3]NISHIDA M,MATSUI T.Applicability of seismic deformation method to aseismic analysis of underground linear structure[C]//14th International Offshore and Polar Engineering Conference.2004:600-606.
[4]TATEISHI A.A study on seismic analysis methods in the cross section of underground structures using static finite element method[J].Structural Engineering/Earthquake Engineering of JSCE,2005,22(1):41-53.
[5]片山幾夫,足立正信,嶋田穰,等.地下埋設構造物の実用的な準動的解析手法「応答震度法」の提案[C]//土木学会年次学術講演会講演概要集.1985:737-738.
[6]商金华,杨林德.软土场地地铁车站抗震计算的等代地震加速度法[J].华南地震,2010,30(1):6-15.SHANG Jinhua,YANG Linde.Equivalent static method of seismic calculation for subway station in soft site[J].South China Journal of Seismology,2010,30(1):6-15.
[7]刘晶波,王文晖,赵冬冬,等.地下结构抗震分析的整体式反应位移法[J].岩石力学与工程学报,2013,32(8):1618LIU Jingbo,WANG Wenhui,ZHAO Dongdong,et al.Integral response deformation method for seismic analysis of underground structure[J].Chinese Journal of Rock Mechanics and Engineering,2013,32(8):1618-1624.
[8]陶连金,王文沛,张波,等.地铁地下结构抗震设计方法差异性规律研究[J].土木工程学报,2012,45(12):170-176.TAO Lianjin,WANG Wenpei,ZHANG Bo,et al.Difference law study of seismic design methods for subway structures[J].China Civil Engineering Journal,2012,45(12):170-176.
[9]CLOUGH R W,PENZIEN J.Dynamics of structures[M].3rd ed.Berkeley,USA:Computers&Structures,Inc,2003.
[10]刘晶波,王文晖,张小波,等.地下结构横断面地震反应分析的反应位移法研究[J].岩石力学与工程学报,2013,32(1):161-167.LIU Jingbo,WANG Wenhui,ZHANG Xiaobo,et al.Research on response deformation method in seismic analysis of underground structure[J].Chinese Journal of Rock Mechanics and Engineering,2013,32(1):161-167.
[2]董正方,王君杰,姚毅超.深埋盾构隧道结构抗震设计方法评价[J].振动与冲击,2012,31(19):79-85.DONG Zhengfang,WANG Junjie,YAO Yichao.Evaluation of seismic design methods for a deeply-buried shield tunnel[J].Journal of Vibration and Shock,2012,31(19):79-85.
[3]NISHIDA M,MATSUI T.Applicability of seismic deformation method to aseismic analysis of underground linear structure[C]//14th International Offshore and Polar Engineering Conference.2004:600-606.
[4]TATEISHI A.A study on seismic analysis methods in the cross section of underground structures using static finite element method[J].Structural Engineering/Earthquake Engineering of JSCE,2005,22(1):41-53.
[5]片山幾夫,足立正信,嶋田穰,等.地下埋設構造物の実用的な準動的解析手法「応答震度法」の提案[C]//土木学会年次学術講演会講演概要集.1985:737-738.
[6]商金华,杨林德.软土场地地铁车站抗震计算的等代地震加速度法[J].华南地震,2010,30(1):6-15.SHANG Jinhua,YANG Linde.Equivalent static method of seismic calculation for subway station in soft site[J].South China Journal of Seismology,2010,30(1):6-15.
[7]刘晶波,王文晖,赵冬冬,等.地下结构抗震分析的整体式反应位移法[J].岩石力学与工程学报,2013,32(8):1618LIU Jingbo,WANG Wenhui,ZHAO Dongdong,et al.Integral response deformation method for seismic analysis of underground structure[J].Chinese Journal of Rock Mechanics and Engineering,2013,32(8):1618-1624.
[8]陶连金,王文沛,张波,等.地铁地下结构抗震设计方法差异性规律研究[J].土木工程学报,2012,45(12):170-176.TAO Lianjin,WANG Wenpei,ZHANG Bo,et al.Difference law study of seismic design methods for subway structures[J].China Civil Engineering Journal,2012,45(12):170-176.
[9]CLOUGH R W,PENZIEN J.Dynamics of structures[M].3rd ed.Berkeley,USA:Computers&Structures,Inc,2003.
[10]刘晶波,王文晖,张小波,等.地下结构横断面地震反应分析的反应位移法研究[J].岩石力学与工程学报,2013,32(1):161-167.LIU Jingbo,WANG Wenhui,ZHANG Xiaobo,et al.Research on response deformation method in seismic analysis of underground structure[J].Chinese Journal of Rock Mechanics and Engineering,2013,32(1):161-167.