重力坝-库水-淤砂-地基系统动力分析的时域显式有限元模型
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摘要
为了研究淤砂层对高坝地震反应的影响,建立了重力坝库水淤砂地基系统动力分析的二维时域显式有限元模型,其中将淤砂层模拟为液固两相介质,并严格考虑了坝体、库水、淤砂层和地基间的动力相互作用。该模型的特点在于不同类型介质都以位移向量为未知量,采用时域显式逐步积分方式求解,不需要求解联立方程,因此节省计算时间和内存,可以非常方便地用于坝体线性和非线性动力反应分析。文中还应用所建立的模型,分析了淤砂层饱和度及厚度对坝顶加速度反应的影响,结果表明淤砂层可能会对坝体反应产生重要影响。
The effect of sediment on the dynamic response of dams was investigated using a twodimensional explicit finite element model for dynamic analysis of the damreservoirsediment foundation system. The sediment is modeled as an elastic porous medium. The dynamic interactions among the dam, water, sediment and foundation were analyzed by solving the dynamics equations explicitly. Since the equations are not solved simultaneously, the model significantly reduces the computation effort and memory requirement. The procedure can also be applied to nonlinear dynamic response analysis of damreservoir systems. The procedure was used to analyze the effects of sediment saturation and thickness on the movement of the dam. The results show that the sediment may significantly affect the dynamic response of the dam when the sediment is partially saturated.
The effect of sediment on the dynamic response of dams was investigated using a twodimensional explicit finite element model for dynamic analysis of the damreservoirsediment foundation system. The sediment is modeled as an elastic porous medium. The dynamic interactions among the dam, water, sediment and foundation were analyzed by solving the dynamics equations explicitly. Since the equations are not solved simultaneously, the model significantly reduces the computation effort and memory requirement. The procedure can also be applied to nonlinear dynamic response analysis of damreservoir systems. The procedure was used to analyze the effects of sediment saturation and thickness on the movement of the dam. The results show that the sediment may significantly affect the dynamic response of the dam when the sediment is partially saturated.
引文
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[2]杜修力,王进廷.动水压力及其对坝体地震反应影响的研究进展[J].水利学报,2001,(7):1321.DUXiuli,WANGJinting.Reviewofstudiesonhydrodynamicpressureanditseffectonseismicresponseofdams[J].JofHydraulicEng,2001,(7):1321.(inChinese)
[3]FenvesG,ChopraAK.Effectsofreservoirbottomabsorptionanddam-water-foundationrockinteractiononfrequencyresponsefunctionsforconcretegravitydams[J].EarthquakeEngngStructDyn,1985,13(1):1331.
[4]ChengAHD.Effectsofsedimentonearthquake-inducedreservoirhydrodynamicresponse[J].JEngMech,ASCE,1986,112(7):654663.
[5]BougachaS,TassoulasJL.SeismicresponseofgravitydamsI:Modelingofsediments[J].JEngMech,ASCE,1991,117(8):18261837.
[6]DominguezJ,GallegoR,JaponBR.Effectsofporoussedimentsonseismicresponseofconcretegravitydams[J].JEngMech,ASCE,1997,123(4):302311.
[7]ZHANGChuhan,YANChengda,WANGGuanglun.Numericalsimulationofreservoirsedimentandeffectsonhydro-dynamicresponseofarchdams[J].EarthquakeEngngStructDyn,2001,30:18171837.
[8]杜修力,王进廷.阻尼弹性结构动力计算的显式差分法[J].工程力学,2000,17(5):3743.DUXiuli,WANGJinting.Anexplicitdifferenceformulationofdynamicresponsecalculationofelasticstructurewithdamping[J].EngMechanics,2000,17(5):3743.(inChinese)
[9]王进廷,杜修力,赵成刚.液固两相饱和介质波动分析的一种显式有限元法[J].岩石力学与工程学报,2002,21(8):11991204.WANGJinting,DUXiuli,ZHAOChenggang.Explicitfinitemethodfordynamicanalysesoffluid-saturatedporoussolid[J].ChineseJofRockMechanicsandEng,2002,21(8):11991204.(inChinese)
[10]王进廷,杜修力,赵成刚,等.分层介质中波动传播分析的显式有限元法[J].岩石力学与工程学报,2002,22(1):7580.WANGJinting,DUXiuli,ZHAOChenggang,etal.Anexplicitfiniteelementschemefordynamicanalysesofwavespropagationinlayeredmedia[J].ChineseJofRockMechanicsandEng,2002,22(1):7580.(inChinese)
[11]廖振鹏,李小军.推广的多次透射边界:标量波方程[J].力学学报,1995,27(1):6978.LIAOZhenpeng,LIXiaojun.Generalizedmulti-transmittingboundary:Scalarwavecase[J].ActaMechanicaSinica,1995,27(1):6978.(inChinese)
[12]BiotMA.Theoryofpropagationofelasticwavesinafluid-saturatedporoussolid[J].JAcoustSocofAmerica,1956,28:168191.
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