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  

AN EXPLICIT FINITE ELEMENT METHOD FOR DYNAMIC ANALYSIS IN THREE-MEDIUM COUPLING SYSTEM AND ITS APPLICATION

作　　者：赵成刚[1] 李伟华[1] 王进廷[2] 李亮[1] 

机构地区：[1]北方交通大学土木建筑工程学院,中国北京100044 [2]清华大学土木水电学院,中国北京100084

出　　处：《地震学报》2003年第3期262-271,共10页Acta Seismologica Sinica

基　　金：国家自然科学基金 (5 0 1780 0 5 )资助项目

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 bounda-ries among 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 have the characteristic of decoupling, and which does not need to solve sys-tem of linear equations. The method is applied to analyze the dynamic response of a reservoir with considering the dynamic interactions among water, dam, sediment and basement rock. The vertical displacement at the top point of the dam is calculated and some conclusions are given.

关 键 词：三种介质耦联系统动力反应分析 显式有限元法 动力响应分析 场地动力响应 土-结构-流体动力相互作用 

分 类 号：P315.9[天文地球—地震学]