无限元在坝、水、地基系统动力分析中的应用

Mapped Infinite Element for Interaction of Dam , Water and Foundation

本文提出一种无限元,通过选用不同的衰减函数,可以分别用于静力场、动力场及各类稳定场问题.文中用无限元模拟了无限地基的弹性及动水压力场的分布规律,计算了紧水滩拱坝的动力特性和动力反应.并和常规的有限元法对比,结果表明:用无限元模拟拱坝的地基和库水能更好地反映坝、水、地基的动力相互作用机理,节省了地基和库水单元,减少了总自由度数,从而缩减了计算机内存、CPU时间和数据准备工作量.本文的无限元在形式上类似于常规的等参数单元,易于在现有的有限元程序中加入无限元子程序段,因此,便于工程技术人员掌握,是一种值得推广为工程实用的有效新单元.

This paper presents a new simple and practical infinite element. The dynamic interaction of the dam , water and foundation is approached by coupling infinite and finite elements. The dynamic properties and stresses of Jinshuitan arch dam are calculated , and the results are more reasonable and more accurate than those obtained using the conventional finite element method. Besides many water and foundation clement are saved , thus the computer memory , the CPU and the data proccessing time are greatly reduced. In addition , the proposed infinite element preserves all the advantages of the finite element method. Thus it is very convenient for implementation in a general FEM computer grogrem.