Review on the study of plane model of subway station
-
摘要: 地下结构抗震研究是当今地震工程领域重要的研究方向之一。迄今为止，国内外学者在地铁车站结构地震响应研究中采取了原型观测、实验研究、理论分析等方法。随着计算机技术的长足发展，实验研究中的数值模拟方法为越来越多的学者所采用。为提高计算效率，通常简化计算模型，采用平面模型模拟地下车站结构。对二维模型和三维模型的计算结果差异目前已有大量研究，但少有学者对各结果差异进行系统性比较。本文对平面模型现有研究进行了简要和全面的回顾，并且对比分析了等效面积法、等代框架法、等效刚度法、等效刚度折减弹性模量法等方法的特点和不足，以加深人们对地下结构抗震研究方法的认识。Abstract: The seismic research of underground structures is one of the important research directions in the field of earthquake engineering today. Domestic and foreign scholars have adopted methods such as prototype observation, experimental research, and theoretical analysis in the study of subway station seismic response so far. With the rapid development of computer technology, numerical simulation methods in experimental research are adopted by more and more scholars. In order to shorten the calculation time and simplify the calculation model, the plane model is usually used for calculation. There have been lots of studies on the difference between the plane model and the space model, but few scholars have systematically compared the difference between the results. This article provides a brief and comprehensive review of existing research on plane models. In order to deepen people’s understanding of seismic research methods of underground structures, the characteristics and shortcomings of equivalent area method, equal frame method, equivalent stiffness method and equivalent stiffness reduction elastic modulus method are compared and analyzed.
-
Key words:
- subway station /
- plane model /
- simplified method
-
图 1 大开车站跨中屋顶支撑柱的破坏
Figure 1. Failure of columns supporting the roof at the midspan of Dakai subway station
图 3 等效刚度法和等效面积法简化地铁车站平面模型计算步骤
Figure 3. The equivalent stiffness method and the equivalent area method for the simplified calculation procedures of the subway station plane model
表 1 三维模型与二维模型优缺点
Table 1. Advantages and disadvantages of the plane model and the space model
计算模型 简化方式 优点 缺点 三维模型 原尺寸 结果精准 建模复杂，计算时间长 等效面积法模型 $ {b}_{1}{h}_{1}={b}_{2}{h}_{2} $ 理论、方法简单 计算结果偏差大 等代框架法模型 取中柱前后各半跨组合 中柱为实际受力，可用于侧墙开孔部位设计 结果需要修正 等效刚度法模型 $ {E}_{1}{I}_{1}={E}_{2}{I}_{2} $ 等效抗弯刚度 结果偏保守 等效刚度折减弹性模量法模型 $ {E}_{1}{I}_{1}={E}_{2}{I}_{2} $ 等效抗弯刚度和抗压刚度 结果偏保守 $ {E}_{1}{A}_{1}={E}_{2}{A}_{2} $ 
下载: 导出CSV
-
[1] Chujo T,Yoshikado H,Sato Y,et al. Experimental and analytical investigations of seismic pounding of adjacent 14-story reinforced concrete buildings damaged in 1985 Mexico earthquake[J]. Journal of Advanced Concrete Technology,2016,14(12):753-769 doi: 10.3151/jact.14.753 [2] Jain A K. Inelastic response of reinforced concrete frames subjected to the 1985 Mexico earthquake[J]. Computers & Structures,1990,34(3):445-454 [3] Huo H,Bobet A,Fernández G,et al. Load transfer mechanisms between underground structure and surrounding ground:Evaluation of the failure of the Daikai station[J]. Journal of Geotechnical and Geoenvironmental Engineering,2005,131(12):1522-1533 doi: 10.1061/(ASCE)1090-0241(2005)131:12(1522) [4] Xu Z G,Du X L,Xu C S,et al. Numerical research on seismic response characteristics of shallow buried rectangular underground structure[J]. Soil Dynamics and Earthquake Engineering,2019,116:242-252 doi: 10.1016/j.soildyn.2018.10.030 [5] Zhuang H Y,Cheng S G,Chen G X. Numerical simulation and analysis of earthquake damages of Daikai metro station caused by Kobe earthquake[J]. Rock and Soil Mechanics,2008,29(1):245-250 [6] 曹炳政,罗奇峰,马硕,等. 神户大开地铁车站的地震反应分析[J]. 地震工程与工程振动,2002,22(4):102-107 doi: 10.3969/j.issn.1000-1301.2002.04.017Cao B Z,Luo Q F,Ma S,et al. Seismic response analysis of Dakai subway station in Hyogoken-nanbu earthquake[J]. Earthquake Engineering and Engineering Vibration,2002,22(4):102-107 doi: 10.3969/j.issn.1000-1301.2002.04.017 [7] 郑永来,杨林德. 地下结构震害与抗震对策[J]. 工程抗震,1999(4):3-5Zheng Y L,Yang L D. Earthquake damage of underground structures and anti-seismic countermeasures[J]. Engineering Seismic,1999(4):3-5 [8] 刘智勇,郑永来. 矩形断面地下结构抗震设计简化方法探索[J]. 结构工程师,2008,24(2):6-10 doi: 10.3969/j.issn.1005-0159.2008.02.002Liu Z Y,Zheng Y L. Exploration of simplified methods for seismic design of underground structures with rectangular section[J]. Structural Engineer,2008,24(2):6-10 doi: 10.3969/j.issn.1005-0159.2008.02.002 [9] Youssef M A H,Jeffrey J H,Birger S,et al. Seismic design and analysis of underground structures[J]. Tunnelling and Underground Space Technology,2001,16(4):247-293 doi: 10.1016/S0886-7798(01)00051-7 [10] Ke W,He S Y,Zhang G L. 3D dynamic time-history response analysis of an island platform metro station in loess area[J]. Civil Engineering Journal,2018,27(4):613-634 [11] 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):161-167Liu J B,Wang W H,Zhang X B,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 [12] 李建亮,赵晶,李福海,等. 结构抗震设计时程分析法的分析研究[J]. 四川地震,2011(4):25-28 doi: 10.3969/j.issn.1001-8115.2011.04.006Li J L,Zhao J,Li F H,et al. Analysis of time-history analysis method on the seismic design[J]. Earthquake Research in Sichuan,2011(4):25-28 doi: 10.3969/j.issn.1001-8115.2011.04.006 [13] 赵冬冬. 城市地铁地下结构地震反应的试验研究与数值模拟[D]. 北京: 清华大学, 2013Zhao D D. Experimental study and numerical simulation on seismic response of urban underground subway structures[D]. Beijing: Tsinghua University, 2013 [14] 朱雯蕾,李宁. 青岛地铁某地下车站结构抗震数值模拟计算分析[J]. 现代城市轨道交通,2020(1):65-72Zhu W L,Li N. Numerical simulation analysis of seismic resistance of a Qingdao subway station structure[J]. Modern Urban Transit,2020(1):65-72 [15] 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):91-95Liu J B,Wang W H,Zhao D D. Review of methods for seismic design and analysis of underground structure cross-section[J]. Construction Technology,2010,39(6):91-95 [16] 陈国兴,陈苏,杜修力,等. 城市地下结构抗震研究进展[J]. 防灾减灾工程学报,2016,36(1):1-23Chen G X,Chen S,Du X L,et al. Review of seismic damage,mode test,available design and analysis methods of urban underground structures:Retrospect and prospect[J]. Journal of Disaster Prevention and Mitigation Engineering,2016,36(1):1-23 [17] 刘晶波,李彬. 地铁地下结构抗震分析及设计中的几个关键问题[J]. 土木工程学报,2006,39(6):106-110 doi: 10.3321/j.issn:1000-131X.2006.06.019Liu J B,Li B. Issues on the seismic analysis and design of subway structures[J]. China Civil Engineering Journal,2006,39(6):106-110 doi: 10.3321/j.issn:1000-131X.2006.06.019 [18] 李美群. 地铁换乘车站结构抗震性能数值模拟分析[J]. 天津建设科技,2008,28(4):59-63 doi: 10.3969/j.issn.1008-3197.2008.04.024Li M Q. Numerical simulation analysis of seismic performance of metro interchange station structure[J]. Tianjin Construction Science and Technology,2008,28(4):59-63 doi: 10.3969/j.issn.1008-3197.2008.04.024 [19] 杜修力,蒋家卫,许紫刚,等. 浅埋矩形框架地铁车站结构抗震性能指标标定研究[J]. 土木工程学报,2019,52(10):111-119,128Du X L,Jiang J W,Xu Z G,et al. Study on quantification of seismic performance index for rectangular frame subway station structure[J]. China Civil Engineering Journal,2019,52(10):111-119,128 [20] 杜修力,刘思奇,刘洪涛,等. 拱形与矩形断面地铁车站结构地震反应比较研究[J]. 震灾防御技术,2019,14(3):465-476 doi: 10.11899/zzfy20190301Du X L,Liu S Q,Liu H T,et al. Comparative study on seismic responses of arch and rectangular cross-section subway stations[J]. Technology for Earthquake Disaster Prevention,2019,14(3):465-476 doi: 10.11899/zzfy20190301 [21] 张晋毅, 刘维宁. 明挖地铁车站的平面简化和空间受力分析比较[C]//中国土木工程学会第十一届、隧道及地下工程分会第十三届年会. 北京: 中国土木工程学会, 2004: 8Zhang J Y, Liu W N. Comparison of plane simplification and spatial force analysis of open-cut subway stations[C]//The 11th China Civil Engineering Society, the 13th Annual Meeting of the Tunnel and Underground Engineering Branch. Beijing: China Civil Engineering Society, 2004: 8 [22] 贾蓬, 刘维宁. 地铁车站结构设计平面简化计算方法中存在问题的探讨[C]//中国土木工程学会第十一届、隧道及地下工程分会第十三届年会. 北京: 中国土木工程学会, 2004: 6Jia P, Liu W N. Discussion on the problems in the simplified calculation method of the structural design plan of metro station[C]//The 11th China Civil Engineering Society, the 13th Annual Meeting of the Tunnel and Underground Engineering Branch. Beijing: China Civil Engineering Society, 2004: 6 [23] 陈改霞,刘庆舒,王平,等. 明挖地铁车站平面模型与空间模型受力分析比较[J]. 四川建筑,2013,33(5):197-200, 203 doi: 10.3969/j.issn.1007-8983.2013.05.071Chen G X,Liu Q S,Wang P,et al. Force analysis and comparison between plane model and space model of open-cut metro station[J]. Sichuan Architecture,2013,33(5):197-200, 203 doi: 10.3969/j.issn.1007-8983.2013.05.071 [24] 李延,漆泰岳,雷波,等. 地铁车站结构设计中空间效应的影响[J]. 现代隧道技术,2015,52(5):138-144Li Y,Qi T Y,Lei B,et al. Impact of spatial effects on the structural design of subway stations[J]. Modern Tunnelling Technology,2015,52(5):138-144 [25] 杨雪. 地铁车站平面模型探讨[J]. 天津建设科技,2016,26(2):53-55Yang X. Discussion on plane model of metro station[J]. Tianjin Construction Science and Technology,2016,26(2):53-55 [26] 汪凯. 明挖地铁车站空间效应对结构设计的影响[J]. 工程与建设,2017,31(4):469-471, 474 doi: 10.3969/j.issn.1673-5781.2017.04.014Wang K. Influence of space effect of open-cut metro station on structural design[J]. Engineering and Construction,2017,31(4):469-471, 474 doi: 10.3969/j.issn.1673-5781.2017.04.014 [27] 曹守坤. 明挖地铁车站二维计算模型分析[J]. 建筑工程技术与设计,2018(20):4396Cao S K. Analysis of two-dimensional calculation model of open-cut metro station[J]. Architectural Engineering Technology and Design,2018(20):4396 [28] 周小华. 地铁车站箱型结构计算浅析[J]. 铁道建筑技术,2003(2):14-16 doi: 10.3969/j.issn.1009-4539.2003.01.006Zhou X H. Brief analysis of computation of box structure for metro station[J]. Railway Construction Technology,2003(2):14-16 doi: 10.3969/j.issn.1009-4539.2003.01.006 [29] 刘晶波,刘祥庆,杜修力. 地下结构抗震理论分析与试验研究的发展展望[J]. 地震工程与工程振动,2007,27(6):38-45 doi: 10.3969/j.issn.1000-1301.2007.06.006Liu J B,Liu X Q,Du X L. Pospects for the development in the oretical analysis and experimental study of seismic response of underground structures[J]. Earthquake Engineering and Engineering Vibration,2007,27(6):38-45 doi: 10.3969/j.issn.1000-1301.2007.06.006 [30] Hamidreza R Z,Hossein S J. The Bam (Iran) earthquake of December 26,2003:From an engineering and seismological point of view[J]. Journal of Asian Earth Sciences,2005,27(5):576-584 [31] 陈重. 钢筋混凝土方沟侧壁大洞口加固问题的等代平面框架法[J]. 特种结构,2009,26(5):85-90 doi: 10.3969/j.issn.1001-3598.2009.05.022Chen Z. An equivalent planar frame method for the strengthening of reinforced concrete rectangular pipe with a large opening on its sidewall[J]. Special Structures,2009,26(5):85-90 doi: 10.3969/j.issn.1001-3598.2009.05.022 [32] 安军海,陶连金,李积栋,等. 地下结构横断面抗震设计的等代平面框架法[J]. 现代隧道技术,2016,53(5):43-50An J H,Tao L J,Li J D,et al. Equivalent plane frame method for the aseismic design of the cross section of underground structures[J]. Modern Tunnelling Technology,2016,53(5):43-50 [33] 张亚. 等代框架法计算地铁标准断面分析[J]. 工程技术研究,2020,5(7):265-266 doi: 10.3969/j.issn.1671-3818.2020.07.125Zhang Y. Analysis of metro standard section calculated by equivalent plane frame method[J]. Engineering and Technological Research,2020,5(7):265-266 doi: 10.3969/j.issn.1671-3818.2020.07.125 [34] Gustavo J P,Antonio B,Julio A R. Evaluation of soil-structure interaction and structural collapse in Daikai subway station during Kobe earthquake[J]. Aci Structural Journal,2006,103(1):113-122 [35] Lu C C,Hwang J H. Nonlinear collapse simulation of Daikai subway in the 1995 Kobe earthquake:Necessity of dynamic analysis for a shallow tunnel[J]. Pergamon,2019,87:78-90 [36] 庄海洋,王雪剑,王瑞,等. 土-地铁动力相互作用体系侧向变形特征研究[J]. 岩土工程学报,2017,39(10):1761-1769 doi: 10.11779/CJGE201710002Zhuang H Y,Wang X J,Wang R,et al. Characteristics of lateral deformation of soil-subway dynamic interaction system[J]. Chinese Journal of Geotechnical Engineering,2017,39(10):1761-1769 doi: 10.11779/CJGE201710002 [37] 庄海洋. 土-地下结构非线性动力相互作用及其大型振动台试验研究[D]. 南京: 南京工业大学, 2006Zhuang H Y. Study on nonlinear dynamic soil-underground structure interaction and its large-size shaking table test[D]. Nanjing: Nanjing Tech University, 2006 [38] 庄海洋,朱超,吴滨,等. 场地类别对地铁地下车站结构地震反应的影响规律[J]. 南京工业大学学报(自然科学版),2015,37(4):70-76 doi: 10.3969/j.issn.1671-7627.2015.04.013Zhuang H Y,Zhu C,Wu B,et al. Seismic responses of underground subway station built in different sites[J]. Journal of Nanjing Tech University (Natural Science Edition),2015,37(4):70-76 doi: 10.3969/j.issn.1671-7627.2015.04.013 [39] 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,2008,28(1):157-164Chen G X,Zuo X,Zhuang H Y,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,2008,28(1):157-164 [40] 陈国兴,庄海洋,杜修力. 液化场地土-地铁车站结构大型振动台模型试验研究[J]. 地震工程与工程振动,2007,27(3):163-170 doi: 10.3969/j.issn.1000-1301.2007.03.027Chen G X,Zhuang H Y,Du X L,et al. Large-scale shaking table test for subway station structure built in liquefiable saturated fine sand soil[J]. Journal of Earthquake Engineering and Engineering Vibration,2007,27(3):163-170 doi: 10.3969/j.issn.1000-1301.2007.03.027 [41] 王建宁,马国伟,窦远明,等. 异跨框架式地铁地下车站结构抗震性能水平与评价方法研究[J]. 振动与冲击,2020,39(10):92-100Wang J N,Ma G W,Dou Y M,et al. Performance levels and evaluation method for seismic behaviors of a large-scale underground subway station with unequal-span frame[J]. Journal of Vibration and Shock,2020,39(10):92-100 [42] 王建宁,窦远明,庄海洋,等. 土-地下连续墙-复杂异跨地铁车站结构动力相互作用分析[J]. 岩土工程学报,2019,41(7):1235-1243Wang J J,Dou Y M,Zhuang H Y,et al. Seismic responses of dynamic interaction system of soil-diaphragm wall-complicated unequal-span subway station[J]. Chinese Journal of Geotechnical Engineering,2019,41(7):1235-1243 [43] 王建宁,付继赛,庄海洋,等. 节点圈梁对复杂异跨地铁车站结构地震反应的影响[J]. 自然灾害学报,2018,27(6):19-26Wang J N,Fu J S,Zhuang H Y,et al. Effect of ring beam at variable-span joint on earthquake responses of unequal-span subway station[J]. Journal of Natural Disasters,2018,27(6):19-26 [44] 庄海洋,龙慧,陈国兴. 复杂大型地铁地下车站结构非线性地震反应分析[J]. 地震工程与工程振动,2013,33(2):192-199Zhuang H Y,Long H,Chen G X. Analysis of the nonlinear earthquake responses of a large complicated subway underground station[J]. Journal of Earthquake Engineering and Engineering Vibration,2013,33(2):192-199 [45] 李猛. 基于时程分析的某地铁车站抗震分析研究[D]. 石家庄: 石家庄铁道大学, 2015Li M. Seismic research of a subway station based on the time-procedure analysis[D]. Shijiazhuang: Shijiazhuang Tiedao University, 2015 -
点击查看大图
图(3) / 表(1)
计量
- 文章访问数: 216
- HTML全文浏览量: 105
- PDF下载量: 23
