三种介质耦联系统动力反应分析的显式有限元法及其应用
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摘要
在笔者已建立的流体饱和多孔介质动力分析的显式有限元法的基础上 ,提出了可分析任意形状的流体饱和多孔介质 单相弹性固体介质 理想流体介质耦联的复杂系统的动力响应的显式有限元方法 .该方法建立的有限元方程列式具有解耦特征 ,不需求解联立方程组 ,因而极大地提高了计算效率 .将这一方法用于分析了考虑库水、坝、淤泥层和基岩这一复杂系统动力相互作用问题的斜坝面的地震响应 ,并给出了一些计算结果 .
In this paper, an explicit finite element method to analyze the dynamic responses of three-medium coupled systems with any terrain is developed on the basis of the numerical simulation of the continuous conditions on the boundaries among the fluid saturated porous medium, elastic single-phase medium and ideal fluid medium. This method is a very effective one with the characteristic of high calculating speed and small memory needed because the formulae for this explicit finite element method are of the characteristic of decoupling and does not need to solve system of linear equations. The method is applied to analyze the dynamic response in a reservoir with the consideration of the dynamic interactions among water, dam, sediment and foundation rock. The vertical displacement at the top point of the dam is calculated and some conclusions are given.
In this paper, an explicit finite element method to analyze the dynamic responses of three-medium coupled systems with any terrain is developed on the basis of the numerical simulation of the continuous conditions on the boundaries among the fluid saturated porous medium, elastic single-phase medium and ideal fluid medium. This method is a very effective one with the characteristic of high calculating speed and small memory needed because the formulae for this explicit finite element method are of the characteristic of decoupling and does not need to solve system of linear equations. The method is applied to analyze the dynamic response in a reservoir with the consideration of the dynamic interactions among water, dam, sediment and foundation rock. The vertical displacement at the top point of the dam is calculated and some conclusions are given.
引文
李小军.1993.非线性场地地震反应分析方法的研究[D]:[学位论文].国家地震局工程力学研究所,145～154
廖振鹏.1996.工程波动理论导引[M ].北京:科学出版社,197～199
王进廷.1998.两相饱和多孔介质同其它介质耦联时的动力显式有限元法[D]:[学位论文].北京:北方交通大学,21～27
赵成刚,王进廷,史培新.2001.流体饱和两相多孔介质动力反应分析的显式有限元法[J].岩土工程学报,23(2):178～182
赵成刚,杜修力,崔杰.1998.固体\流体多相孔隙介质中的波动理论及其数值模拟的进展[J].力学进展,28(1):83～92
赵成刚,高福平,崔杰.1999.波从单相介质向两相饱和多孔介质入射时在交界面的反射与透射[J].地震工程与工程振动,19(1):1～6
BiotMA .1956.Theoryofpropagationofelasticwaveinfluid saturatedporoussoil[J].JAcoustSocAmer,28(2):168～178
ChenBF .2000.Dynamicresponseofcoastalstructuresduringearthquakesincludingsediment sea structureinteraction[J].SoilDynamicsandEarthquakeEngineering,20(2):445～467
LiaoZP ,WongHL .1984.Atransmittingboundaryforthenumericalsimulationofelasticwavepropagation[J].SoilDynamicsandEarthquakeEngineering,3(4):176～183
PrevostJH .1985.Wavepropagationinfluid saturatedmedia:Αnefficientfiniteelementprocedure[J].SoilDynamicsandEarthquakeEngineering,4(4):183～201
廖振鹏.1996.工程波动理论导引[M ].北京:科学出版社,197～199
王进廷.1998.两相饱和多孔介质同其它介质耦联时的动力显式有限元法[D]:[学位论文].北京:北方交通大学,21～27
赵成刚,王进廷,史培新.2001.流体饱和两相多孔介质动力反应分析的显式有限元法[J].岩土工程学报,23(2):178～182
赵成刚,杜修力,崔杰.1998.固体\流体多相孔隙介质中的波动理论及其数值模拟的进展[J].力学进展,28(1):83～92
赵成刚,高福平,崔杰.1999.波从单相介质向两相饱和多孔介质入射时在交界面的反射与透射[J].地震工程与工程振动,19(1):1～6
BiotMA .1956.Theoryofpropagationofelasticwaveinfluid saturatedporoussoil[J].JAcoustSocAmer,28(2):168～178
ChenBF .2000.Dynamicresponseofcoastalstructuresduringearthquakesincludingsediment sea structureinteraction[J].SoilDynamicsandEarthquakeEngineering,20(2):445～467
LiaoZP ,WongHL .1984.Atransmittingboundaryforthenumericalsimulationofelasticwavepropagation[J].SoilDynamicsandEarthquakeEngineering,3(4):176～183
PrevostJH .1985.Wavepropagationinfluid saturatedmedia:Αnefficientfiniteelementprocedure[J].SoilDynamicsandEarthquakeEngineering,4(4):183～201
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