土-地下结构体系地震反应的简化分析方法
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摘要
基于Penzien提出的土-结构动力相互作用分析的集中质量模型,考虑等价土体的层间剪切刚度与阻尼效应,提出了土-地下结构动力相互作用体系地震反应分析的简化分析方法,选取具有不同地震动特性的Taft波、汶川地震什邡八角波和松潘波作为基岩水平向输入地震动,采用该简化方法和二维有限元法对土-地铁地下车站结构体系的地震加速度反应特性进行了对比分析,结果表明:简化方法计算的地铁地下车站结构峰值加速度反应大于二维有限元法计算的地铁地下车站结构峰值加速度反应,两者的差异与输入地震动特性有关,但其随地铁地下车站结构高度变化的总体趋势较为一致;随着输入地震动强度的增大,其差异程度也有所加大。该简化方法可合理反映土-地下结构体系的动力相互作用效应,可作为地下结构抗震设计分析的一种辅助方法。
Based on lumped mass model of soil-structure dynamic interaction system proposed by Penzien, a simplified method of soil-underground structure dynamic interaction system is constructed with the consideration of the shear stiffness and damping characteristic of equivalent soil layers. Shifang Bajiao acceleration record, Songpan acceleration record of Wenchuan earthquake, China in 2008 and a Taft earthquake acceleration record with different frequency spectrum characteristics are selected as bedrock ground motions; then the simplified method and 2D finite element method are employed to analyse seismic responses of soil-subway station structure system. The results indicate that the peak value of acceleration response of subway station structure of the simplified method is more than those of 2D finite element method, and the difference degree is related to the bedrock ground motion characteristics. With the peak value of bedrock ground motion increasing, the difference degree of the results obtained by two methodes is increasing; but the general law is consistent. The simplified method is a good analysis method to analyse the effect of soil-underground structure dynamic interaction; and it can serve as a auxiliary method for aseismic design of underground structure.
Based on lumped mass model of soil-structure dynamic interaction system proposed by Penzien, a simplified method of soil-underground structure dynamic interaction system is constructed with the consideration of the shear stiffness and damping characteristic of equivalent soil layers. Shifang Bajiao acceleration record, Songpan acceleration record of Wenchuan earthquake, China in 2008 and a Taft earthquake acceleration record with different frequency spectrum characteristics are selected as bedrock ground motions; then the simplified method and 2D finite element method are employed to analyse seismic responses of soil-subway station structure system. The results indicate that the peak value of acceleration response of subway station structure of the simplified method is more than those of 2D finite element method, and the difference degree is related to the bedrock ground motion characteristics. With the peak value of bedrock ground motion increasing, the difference degree of the results obtained by two methodes is increasing; but the general law is consistent. The simplified method is a good analysis method to analyse the effect of soil-underground structure dynamic interaction; and it can serve as a auxiliary method for aseismic design of underground structure.
引文
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[13]PENZIEN J,SCHEFFEY C F,PARMELEE R A.Seismic analysis of bridges on long piles[J].Journal of Engineering Mechanics Division,ASCE,1964,(3):223-254.
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[2]HUO H,BOBET A.Seismic design of cut and cover rectangular tunnels-evaluation of observed behavior of Dakai station during Kobe earthquake[C]//Proceedings of 1st World Forum of Chinese Scholars in Geotechnical Engineering.Shanghai:Tongji University Press,2003:456-466.
[3]刘晶波,李彬,谷音.地铁盾构隧道地震反应分析[J].清华人学报,2005,(6):757-760.LIU Jing-bo,LI Bin,GU Yin.Seismic response analysis of shielded subway tunnels[J].Journal of Tsinghua University,2005,(6):757-760.
[4]陈国兴,庄海洋,史国龙.地铁车站结构地震反应分析的子结构法[J].防灾减灾工程学报,2004,24(4):396-401.CHEN Guo-xing,ZHUANG Hai-yang,SHI Guo-long.Analysis on the earthquake response of subway station based on the substructuring subtraction method[J].Journal of Disaster Prevention and Mitigation Engineering,2004,24(4):396-401.
[5]LIU Hua-bei,SONG Er-xiang.Working mechanism of cutoff walls in reducing uplift of large underground structures induced by soil liquefaction[J].Computers and Geotechnics,2006,(33):209-221.
[6]杨林德,王国波,郑永来,等.地铁车站结构振动台试验及地震响应的三维数值模拟[J].岩石力学与工程学报,2007,(8):1538-1545.YANG Lin-de,WANG Guo-bo,ZHENG Yong-lai,et al.Shaking table test on metro station structure and3D numerical simulation of seismic response[J].Chinese Journal of Rock Mechanics and Engineering,2007,(8):1538-1545.
[7]陈国兴,左熹,庄海洋,等.地铁车站结构大型振动台试验与数值模拟的比较研究[J].地震工程与工程振动,2008,(1):157-164.CHEN Guo-xing,ZUO Xi,ZHUANG Hai-yang,et al.A comparison between large-size shaking table test results and numerical simulation of a subway station structure[J].Journal of Earthquake Engineering and Engineering Vibration,2008,(1):157-164.
[8]陈国兴,陈磊,景立平,等.地铁地下结构抗震分析并行计算的显式与隐式算法比较[J].铁道学报,2010,待刊.CHEN Guo-xing,CHEN Lei,JING Li-pin,et al.Comparison of implicit and explicit finite element methods with parallel computing for seismic response analysis of metro underground structures[J].Journal of the China Railway Society,2010,(Accept).
[9]SHAKE D K,RIZZO P C,STEPHENSON D E.Earthquake load analysis of tunnels and shafts[C]//Proceedings of the7th World Conference on Earthquake Engineering.Michigan:University of Michigan Press,1980:20-28.
[10]KOJI U,SHUNSUKE S.Characteristic of the vertical seismic waves associated with the1995HYOGO-NANBU(KOBE),Japan earthquake estimated from the failure of the Dakai underground station[J].Earthquake Engineering and Structural Dynamics,2000,(6):813-821.
[11]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 Jing-bo,LIU Xiang-qing,LI Bin.A Pushover analysis method for seismic analysis and design of underground structures[J].China Civil Engineering Journal,2008,41(4):73-80.
[12]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 Ru-shan,HU Shao-qing,SHI Hong-bin.Study on seismic loading of pseudo-static approach used in the seismic design of underground structure[J].Chinese Journal of Geotechnical Engineering,2007,29(2):237-242.
[13]PENZIEN J,SCHEFFEY C F,PARMELEE R A.Seismic analysis of bridges on long piles[J].Journal of Engineering Mechanics Division,ASCE,1964,(3):223-254.
[14]陈国兴.岩土地震工程学[M].北京:科学出版社,2006.
[15]LYSMER J,UDAKA T,TSAI C F,et al.FLUSH,A computer program for approximate3-D analysis of soil-structure interaction problems[R].Berkeley:Report No.EERC75-30.Earthquake Engineering Research Center.College of Engineering,University of California,1975.
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