不连续岩体-拱坝系统的动力过程数值模拟方法
摘要
提出了一种分析三维不连续变形块体系统动力学过程和建坝的数值方法,该方法不但能够模拟位移不连续面在地震载荷作用下的张开和大尺度的摩擦滑移,而且还能给出不连续面上安全系数的分布和随时间的变化。通过有 2 个块体组成的系统验证了所提出的方法的正确性,同时用它分析了一个具有断层和伸缩缝的拱坝系统模型在地震载荷下的动力反应。
A numerical method for analyzing the dynamic process of discontinuous deformation system and building dam is proposed. It can model opening and a large amount of frictional sliding of discontinuous surfaces of displacement and describe the changes of safety factor with time and its distribution on surfaces. The method is verified by a discontinuous system with two elastic blocks first; and then is used to analyze the dynamic response of an arch dam system with faults and construction joints under seismic loading.
A numerical method for analyzing the dynamic process of discontinuous deformation system and building dam is proposed. It can model opening and a large amount of frictional sliding of discontinuous surfaces of displacement and describe the changes of safety factor with time and its distribution on surfaces. The method is verified by a discontinuous system with two elastic blocks first; and then is used to analyze the dynamic response of an arch dam system with faults and construction joints under seismic loading.
引文
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[2]PapadopoulosP,TaylorR L.A mixed formulation for the finite element solution of contact problems[J],Comp.Meth.Appl.Mech.Engr.,94,1992,373-389.
[3]LiuJ,WangD,YaoL.A contact force model in the dynamic analysis of contactable cracks[J].ActaMechanicaSolidaSinica,6(4),1993,439-452.
[4]陈厚群,李德玉,胡晓,等.有横缝拱坝的非线性动力模型试验与计算分析研究[J].地震工程与工程震动,1995,15(4):10-25.
[5]AlonsoE,CarolI,DelahayeC, et al.Evaluation of safety factor indiscontinuous rock[J].InternationalJournal ofRockMechanics andMiningScience&GeomechanicsAbstracts,1996,33(3):513-537.
[6]HardR D.An introduction to distinct element modeling for rock engineering[A].GeneralReport,Proceeding of7thInternationalCongress onRockMechanics3[C].[s.l.],1991,1881-1891.
[7]YamazakiK,MoriM.Boundary element analysis of elastodynamic contact problems by the penalty function method[M].Structures underShock andImpact,Elsevier andComputationalMechanicsPublications,Boston,1989.
[8]ZhangChuhan,JinFeng,PekauO.Time domain procedure ofFE-BE-IBEcoupling for seismic interaction for arch dams and canyons[J].EarthquakeEngineering andStructuralDynamics,1995,24:1651-1666.
[9]ShiG-H,GoodmanR E.Generalization of two- dimentional discontinuous deformation analysis[J].Interna- tionalJournal forNumerical andAnalyticalMethods inGeomechanics.,1990,13(4):359-380.
[10]石根华.数值流型方法与非连续变形分析[M].裴觉民译,清华大学出版社,1997.
[11]CaiY,HeT,WangR.Numerical simulation ofDynamic process of theTangshan earthquake by a new methodLDDA[J].Pure andAppliedGeophysics,2000,157(11-12):2083-2104.
[12]蔡永恩,梁国平,殷有全.多弹性体系统动力分析的LDDA 方法[J].固体力学学报,2000,21(增刊):182-191.
[13]钟万勰,张宏武,吴承伟.参变量变分原理及其在工程中的应用[M].北京:科学出版社,1997.
[14]Clayton,R.B.Engquist,Absorbing boundary conditions for acoustic and elastic wave equations[J].Bulletin of theSeismologicalSociety ofAmerica,1977,67(6):1729-1540.
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