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波动方程的应力-速度有限元解耦交叠格式
引用本文:景立平,廖振鹏.波动方程的应力-速度有限元解耦交叠格式[J].地震工程与工程振动,2000,20(4):1-7.
作者姓名:景立平  廖振鹏
作者单位:1. 哈尔滨工业大学
2. 中国地震局工程力学研究所
基金项目:地震学联合基金!(95-07-442)
摘    要:本基于有限差分交叠格式和解耦有限元方法的基本概念,以应力-速度为变量,提出了求解波动的应力-速度有限元解耦交叠格式,这一格式不仅时空解耦,而且为显式,它适合于线性及非线性波动问题的数值模拟,已有的应力-速度有限元交叠格式(即格子法)为本的特例。通过解析解数值检验表明,本建议的方法具有较高的精度,而格子法计算精度较低。

关 键 词:有限元  应力-速度  交叠格式  波动方程  数值模拟
文章编号:1000-1301(2000)04-0001-07
修稿时间:2000年8月30日

Stress-velocity decoupling and stagger finite-element scheme of wave equations
JING Li-ping,LIAO Zhen-peng.Stress-velocity decoupling and stagger finite-element scheme of wave equations[J].Earthquake Engineering and Engineering Vibration,2000,20(4):1-7.
Authors:JING Li-ping  LIAO Zhen-peng
Abstract:Stress -velocity decoupling and stagger finite-element scheme to simulate wave motion is presented based on the concepts of staggered finite-element scheme and decoupling finite element method, in which stress and velocity are considered as variables. This scheme is not only decouping in time and space, but also explicit. It is suitable for numerical simulation of linear and non-linear wave motion problems. The existing stress-velocity staggered finite-element scheme(grid methods) is a special case of this scheme when the quadrilateral element is adopted. The numerical experiments also show that the calculating accuracy of grid method is unsatisfactory when quadrilateral element is adopted.
Keywords:finite-element  strees - velocity  stagg  
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