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地铁地下结构抗震理论分析与应用研究

Theoretical Analysis of Seismic Response of Underground Subway Structures and Its Application

【作者】 李彬

【导师】 刘晶波;

【作者基本信息】 清华大学 , 土木工程, 2005, 博士

【摘要】 本文对地铁等地下结构的抗震分析理论及其工程应用进行了较为系统的研究,建立了土-结构相互作用问题的静-动力联合分析模型,研究了高烈度区内多个地铁工程的地震反应特性,进而提出了适用于地下结构抗震分析的Push-over方法。具体的研究工作如下:(1)为了突破动力人工边界不能兼顾静力效应的局限,基于现有的粘弹性动力人工边界,结合半无限空间中静力问题基本解,提出了可以进行静-动力联合分析的粘弹性静-动力统一人工边界。(2)研究了粘弹性人工边界上的波动输入方法,给出了粘弹性静-动力统一人工边界上静力边界条件的确定方法;进而探讨了粘弹性人工边界的数值模拟技术,并结合有限元分析软件MSC.Marc编制了辅助程序VSBC。(3)基于粘弹性静-动力统一人工边界及相应波动输入方法,建立了土-结构动力相互作用问题的静-动力联合分析模型,该模型可以考虑结构材料非线性、土动力非线性等因素的影响。(4)以伊朗德黑兰市地铁一号线北延线工程、北京市地铁五号线工程和阪神地震中严重破坏的大开地铁站为背景,对地铁地下车站及区间隧道进行了地震反应分析,总结了地铁地下结构的地震反应特性,研究了影响地下结构动力反应的控制地震动参数,建议将地面峰值相对位移作为一种针对地下结构的设计地震动参数。(5)基于土-结构相互作用有限元分析方法建议了一种新的地下结构抗震分析的拟静力方法,进而提出了适用于地下结构抗震分析的Push-over方法,并结合实际工程与基于粘弹性静-动力统一人工边界的静-动力联合分析方法进行了对比研究,证明了地下结构Push-over方法的可靠性及其良好的模拟精度。(6)基于粘弹性人工边界实现了Rayleigh波的有效输入,解决了Rayleigh波的时域输入问题,初步研究了Rayleigh波作用下地下结构的动力反应特性。

【Abstract】 A systematic study on the seismic analysis theory and its application ofunderground structures are presented in this dissertation. A time domainanalysis model for soil-structure dynamic interaction is proposed, which takesthe influence of static loads into consideration. Seismic responses of severalunderground subway structures in high earthquake intensity zones areanalyzed, and a static push-over analysis method for underground structures isproposed. The main achievements of this dissertation are described asfollows:(1) A unified viscous-spring boundary for static and dynamicapplications is proposed by combining the dynamic viscous-spring artificialboundary and the fundamental solution of static problems in half space. Staticand dynamic effects can be considered simultaneously with this boundary,which is a major problem of conventional dynamic models.(2) The wave input method for viscous-spring artificial boundary,calculating method of static boundary conditions on the proposed unifiedboundary and their numerical simulation techniques are studied. An assistantsubroutine VSBC on the MSC.Marc platform is presented.(3) An analysis model for soil-structure dynamic interaction problemscombining static and dynamic loads is presented based on the unifiedviscous-spring artificial boundary and the wave input method. The nonlinearproperties of structures and soil can be considered in this model.(4) Seismic responses of underground subway structures are analyzedsystematically, including the Northern Extension Line of Tehran Metro Line 1,Beijing Metro Line 5 and the Daikai subway station cracked in Hyogo-kenNanbu Earthquake (1995). Seismic performance of these structures indicatesthat the peak ground displacement relative to the bedrock is a more effectiveand reasonable indicator of the ground motion’s damage effects onunderground structures, thus a better design parameter.(5) Based on the finite element method for soil-structure staticinteraction problems, a simplified quasi-static method for seismic analysis ofunderground structures, and a static push-over method for seismic analysis ofunderground structures are presented. Their validity is proved throughcomparing with static-dynamic coupling analysis method based on the unifiedviscous-spring boundary.(6) A time domain wave input method for Rayleigh waves is presentedbase on the viscous-spring artificial boundary. Preliminary study on dynamicresponse of underground structures during propagation of Rayleigh waves iscarried out.

  • 【网络出版投稿人】 清华大学
  • 【网络出版年期】2006年 08期
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