|
水平地震作用下地下结构考虑转动时的动力响应
摘要
利用分析力学的Lagrange方程,推导了地下结构在水平地震作用下同时考虑结构的平动和转动效应的运动方程.为了简化计算,将地下结构假定为矩形刚体,地基采用温克尔弹性地基模型,且不考虑结构与周围土介质的阻尼作用.首先得到了地下结构与土相互作用时的动能和势能,然后利用分析力学的Lagrange方程推导出了结构的运动方程.通过算例研究地下结构在水平地震作用下考虑转动分量和不考虑转动分量时的受力差别.
In this paper,the motion equations of underground structures are derived with consideration of translation and rotation of the structure under horizontal seismic excitation by using the Lagrange equation. In order to simplify the analysis,the underground structure is viewed as a rectangular rigid body and the Winkler elastic foundation model is adopted. The damping effect exerted by structure-soil interaction is neglected. After the determination of kinetic energy and potential energy of the structure-soil interaction,the motion equations is obtained by using Lagrange's equation. Numerical example is given to demonstrate the effect of the rotation on the earth pressure on the structure.
引文
[1]杨春田.日本阪神地震地铁工程的震害分析[J].工程抗震,1996(2):240-242
[2]庄海洋,陈国兴,张菁莉.基于子结构法的地铁车站地震反应分析[J].岩土力学,2005,26(S1):227-231 [3]Yeh CKG.Seismic analysis of slender buried beams[J].Bulletin of the Seismological Society of America,1974,64(15):1551-1562 [4]Navarro C.Seismic analysis of underground structures[C].Proceeding of the Tenth World Conference on Earthquake Engineering,Rotterdam,Publ Rotterdam:A.A.Balkema,1992:1939-1944 [5]Seed H B,Whitman R V.Design of earth retaining structures for dynamic loads[C].Proceedings of the ASCE Specialty Conference on Lateral Stresses in the Ground and Design of Earth-Retaining Structures,New York,USA:Univ.of Cornell Press,1970:103-147 [6]Wood J H.Earthquake-induced soil pressures on structures[R].Report of Earthquake Engineering Research Laboratory,1973,Caltech EERL 73-05,California Institute of Technology [7]Kuesel T R.Earthquake design criteria for subways[J].ASCE/Journal of the Structural Division,1969,95(supplement):1213-1231 [8]Wang J N.Seismic Design of Tunnels:A Simple State-ofthe-Art Approach[M].New York:Parsons Brinckerhoff Quade and Douglas Inc,1993:27-34 [9]John CMS,Zahrah T F.A seismic design of underground structures[J].Tunneling and Underground Space Technology,1987,2(2):165-197 [10]李琦,王琦,朱豪.地下结构抗震设计的分析方法及其现状[J].泰山学院学报,2007,29(6):56-61 [11]Shukla D K,Rizzo P C,Stephenson D E.Earthquake load analysis of tunnels and shafts[C].Proceeding of the Seventh World Conference on Earthquake Engineering,Michigan,USA:Univ.of Michigan Press,1980:20-28 [12]Hashash YMA,Hook J J,Schmidt B,Yao I C.Seismic design and analysis of underground structure[J].Tunnelling and Underground Space Technology,2001,16(4):247-293 [13]Hashash YMA,Park D and Yao I C.Ovaling deformations of circular tunnels under seismic loading[J].Tunnelling and Underground Space Technology,2005,20(5):435-441 [14]刘晶波,李彬.Rayleigh波作用下地下结构的动力反应分析[J].工程力学,2006,23(10):131-135 [15]宫必宁,赵大鹏.地下结构与土动力相互作用试验研究[J].地下空间,2002,22(4):320-324 [16]陈国兴,左熹,庄海洋,杜修力.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):157-164 [17]李彬,刘晶波,刘祥庆.地铁车站的强地震反应分析及设计地震动参数研究[J].地震工程与工程振动,2008,28(1):17-23 [18]匡志平,刘竹钊,曹国安.地下结构纵向随机地震响应和极值分析[J].同济大学学报,2002,30(8):922-926 [19]Davis C A.Lateral seismic pressure for design of rigid underground lifeline structure[C].Proceedings of the6thU.S.conference on lifeline earthquake engineering,Long Beach,California,2003 [20]Qi Chengzhi,Chen Canshou,Davis C A,Sun Jian.Simplified model of seismic soil-underground box-type structure interaction[C].Proceedings of the 10thASIA pacific transportation development conference on challenges and advances in sustainable transportation systems,Beijing,China,2004 [21]Bardet J P,Davis C A.Engineering Observations on Ground Motion at the Van Norman Complex after the1994 Northridge Earthquake[J].Bulletin of the Seismological Society of America,1996,86(1):333-349 [22]Biot MA.Bending of an infinite beam on an elastic foundation[J].Journal of Applied Mechanics,1937,203:1-7 [23]李英民,王璐,刘阳冰,等.地下结构抗震计算地基弹簧系数取值方法研究[J].地震工程与工程振动,2012,32(1):106-113 |