地下结构抗震分析的整体式反应位移法
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摘要
对目前地下结构抗震分析中的传统反应位移法进行分析,针对该方法的主要误差来源,结合反应位移法明确的物理概念及严密的理论基础,提出一种适用于地下结构抗震分析的计算方法——整体式反应位移法。整体式反应位移法在反应位移法的基础上,通过直接建立土–结构分析模型来反映土–结构间相互作用,避免引入地基弹簧带来的计算量和计算误差。为验证改进方法的有效性,一方面从物理概念出发,论证改进方法与反应位移法的一致性;另一方面通过数值计算,将整体式反应位移法与动力时程分析方法进行对比分析。结果表明,整体式反应位移法相比于反应位移法计算量小,计算结果更接近动力时程方法,是一种实用性强的拟静力方法。
The response deformation method for seismic analysis of underground structures is introduced.Based on the physical concept and basic principle of the response deformation method,an integral response deformation method is proposed to reduce the error source of the original method.The integral response deformation method takes the soil-structure model to realize the interaction between soil and structure.In order to verify the efficiency of the improved method,on the one hand,the improved method is proved to be consistent with the response deformation method in the physical concept;on the other hand,the improved method is compared with the dynamic analysis method by numerical calculation.It can be found from the numerical results that,compared to the response deformation method,the integral response deformation method requires less computational complexity and achieves more accurate result.The integral response deformation method is proved to be a highly practical pseudo-static method.
The response deformation method for seismic analysis of underground structures is introduced.Based on the physical concept and basic principle of the response deformation method,an integral response deformation method is proposed to reduce the error source of the original method.The integral response deformation method takes the soil-structure model to realize the interaction between soil and structure.In order to verify the efficiency of the improved method,on the one hand,the improved method is proved to be consistent with the response deformation method in the physical concept;on the other hand,the improved method is compared with the dynamic analysis method by numerical calculation.It can be found from the numerical results that,compared to the response deformation method,the integral response deformation method requires less computational complexity and achieves more accurate result.The integral response deformation method is proved to be a highly practical pseudo-static method.
引文
[1]刘晶波,李彬,刘祥庆.地下结构抗震设计中的静力弹塑性分析方法[J].土木工程学报,2007,40(7):68–76.(LIU Jingbo,LI Bin,LIU Xiangqing.A static elastoplastic analysis method in seismicdesign of underground structures[J].China Civil Engineering Journal,2007,40(7):68–76.(in Chinese))
[2]刘晶波,王文晖,赵冬冬.地下结构横截面抗震设计分析方法综述[J].施工技术,2010,39(6):91–95.(LIU Jingbo,WANG Wenhui,ZHAODongdong.Review of methods for seismic design and analysis ofunderground structure cross-section[J].Construction Technology,2010,39(6):91–95.(in Chinese))
[3]施仲衡.地下铁道设计与施工[M].西安:陕西科学技术出版社,1997:265–270.(SHI Zhongheng.Design and construction of metro[M].Xi′an:Shaanxi Scientific and Technical Publishers,1997:265–270.(in Chinese))
[4]HASHASH Y M A,HOOK J J,SCHMIDT B,et al.Seismic designand analysis of underground structures[J].Tunnelling and UndergroundSpace Technology,2001,16(4):247–293.
[5]WANG J N.Seismic design of tunnels:a simple state-of-the-art designapproach[M].New York:Parsons Brinckerhoff Quade and DouglasInc.,1993:147.
[6]川岛一彦.地下构筑物の耐震设计[M].日本:鹿岛出版会,l994:43–60.
[7]刘晶波,刘祥庆,李彬.地下结构抗震分析与设计的Pushover分析方法[J].土木工程学报,2008,41(4):73–80.(LIU Jingbo,LIU Xiangqing,LI Bin.A pushover method for seismic responseanalysis and design of underground structures[J].China Civil EngineeringJournal,2008,41(4):73–80.(in Chinese))
[8]刘晶波,王文晖,刘祥庆.地下结构抗震分析方法对比研究[C]//第四届全国防震减灾工程学术研讨会会议论文集.[S.l.]:[s.n.],2009:270–277.(LIU Jingbo,WANG Wenhui,LIU Xiangqing.Comparison of the common methods in seismic analysis of theunderground structure[C]//Proceedings of the Fourth National Conferenceon Earthquake Disaster Mitigation Engineering.[S.l.]:[s.n.],2009:270–277.(in Chinese))
[9]立石章.应答变位法における地震荷载の作用方法にする研究[C]//日本土木学会论文集.[S.l.]:[s.n.],1992:157–166.
[10]中华人民共和国国家标准编写组.GB50011—2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010.(The National StandardsCompilation Group of People′s Republic of China.GB50011—2010Code for seismic design of buildings[S].Beijing:China Architectureand Building Press,2010.(in Chinese))
[11]中华人民共和国国家标准编写组.GB50267—97核电厂抗震设计规范[S].北京:中国计划出版社,1998.(The National StandardsCompilation Group of People′s Republic of China.GB50267—97Code for seismic design of nuclear power plants[S].Beijing:ChinaPlanning Press,1998.(in Chinese))
[12]中华人民共和国国家标准编写组.城市轨道交通结构抗震设计规范(草案)[S].[S.l.]:[s.n.],2012.(The National Standards CompilationGroup of People′s Republic of China.Code for seismic design ofurban rail transit structures(draft)[S].[S.l.]:[s.n.],2012.(in Chinese))
[13]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 onresponse deformation method in seismic analysis of undergroundstructure[J].Chinese Journal of Rock Mechanics and Engineering,2013,32(1):161–167.(in Chinese))
[14]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.(LIURushan,HU Shaoqing,SHI Hongbin.Study on seismic loading ofpseudo-static approach used in the seismic design of undergroundstructure[J].Chinese Journal of Geotechnical Engineering,2007,29(2):237–242.(in Chinese))
[15]郑永来,杨林德,李文艺,等.地下结构抗震[M].上海:同济大学出版社,2005:166–167.(ZHENG Yonglai,YANG Linde,LIWenyi,et al.The seismic design of underground structure[M].Shanghai:Tongji University Press,2005:166–167.(in Chinese))
[16]BARDET J P,ICHII K,LIN C H.EERA:a computer program forequivalent-linear earthquake site response analysis of layered soildeposits[R].Los Angeles:University of Southern California,2000.
[17]IDRISS I M,SUN J I.SHAKE91:a computer program for conductingequivalent linear seismic response analysis of horizontally layered soildeposits[R].California:University of California,1992.
[2]刘晶波,王文晖,赵冬冬.地下结构横截面抗震设计分析方法综述[J].施工技术,2010,39(6):91–95.(LIU Jingbo,WANG Wenhui,ZHAODongdong.Review of methods for seismic design and analysis ofunderground structure cross-section[J].Construction Technology,2010,39(6):91–95.(in Chinese))
[3]施仲衡.地下铁道设计与施工[M].西安:陕西科学技术出版社,1997:265–270.(SHI Zhongheng.Design and construction of metro[M].Xi′an:Shaanxi Scientific and Technical Publishers,1997:265–270.(in Chinese))
[4]HASHASH Y M A,HOOK J J,SCHMIDT B,et al.Seismic designand analysis of underground structures[J].Tunnelling and UndergroundSpace Technology,2001,16(4):247–293.
[5]WANG J N.Seismic design of tunnels:a simple state-of-the-art designapproach[M].New York:Parsons Brinckerhoff Quade and DouglasInc.,1993:147.
[6]川岛一彦.地下构筑物の耐震设计[M].日本:鹿岛出版会,l994:43–60.
[7]刘晶波,刘祥庆,李彬.地下结构抗震分析与设计的Pushover分析方法[J].土木工程学报,2008,41(4):73–80.(LIU Jingbo,LIU Xiangqing,LI Bin.A pushover method for seismic responseanalysis and design of underground structures[J].China Civil EngineeringJournal,2008,41(4):73–80.(in Chinese))
[8]刘晶波,王文晖,刘祥庆.地下结构抗震分析方法对比研究[C]//第四届全国防震减灾工程学术研讨会会议论文集.[S.l.]:[s.n.],2009:270–277.(LIU Jingbo,WANG Wenhui,LIU Xiangqing.Comparison of the common methods in seismic analysis of theunderground structure[C]//Proceedings of the Fourth National Conferenceon Earthquake Disaster Mitigation Engineering.[S.l.]:[s.n.],2009:270–277.(in Chinese))
[9]立石章.应答变位法における地震荷载の作用方法にする研究[C]//日本土木学会论文集.[S.l.]:[s.n.],1992:157–166.
[10]中华人民共和国国家标准编写组.GB50011—2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010.(The National StandardsCompilation Group of People′s Republic of China.GB50011—2010Code for seismic design of buildings[S].Beijing:China Architectureand Building Press,2010.(in Chinese))
[11]中华人民共和国国家标准编写组.GB50267—97核电厂抗震设计规范[S].北京:中国计划出版社,1998.(The National StandardsCompilation Group of People′s Republic of China.GB50267—97Code for seismic design of nuclear power plants[S].Beijing:ChinaPlanning Press,1998.(in Chinese))
[12]中华人民共和国国家标准编写组.城市轨道交通结构抗震设计规范(草案)[S].[S.l.]:[s.n.],2012.(The National Standards CompilationGroup of People′s Republic of China.Code for seismic design ofurban rail transit structures(draft)[S].[S.l.]:[s.n.],2012.(in Chinese))
[13]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 onresponse deformation method in seismic analysis of undergroundstructure[J].Chinese Journal of Rock Mechanics and Engineering,2013,32(1):161–167.(in Chinese))
[14]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.(LIURushan,HU Shaoqing,SHI Hongbin.Study on seismic loading ofpseudo-static approach used in the seismic design of undergroundstructure[J].Chinese Journal of Geotechnical Engineering,2007,29(2):237–242.(in Chinese))
[15]郑永来,杨林德,李文艺,等.地下结构抗震[M].上海:同济大学出版社,2005:166–167.(ZHENG Yonglai,YANG Linde,LIWenyi,et al.The seismic design of underground structure[M].Shanghai:Tongji University Press,2005:166–167.(in Chinese))
[16]BARDET J P,ICHII K,LIN C H.EERA:a computer program forequivalent-linear earthquake site response analysis of layered soildeposits[R].Los Angeles:University of Southern California,2000.
[17]IDRISS I M,SUN J I.SHAKE91:a computer program for conductingequivalent linear seismic response analysis of horizontally layered soildeposits[R].California:University of California,1992.
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