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波动方程的应力-速度有限元解耦交叠格式

Stress-velocity decoupling and stagger finite-element scheme of wave equations

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【作者】 景立平廖振鹏

【Author】 JING Li-ping, LIAO Zhen - peng ( Harbin institute of Technology; Institute of Engineering Mechanics, China Seismological Bureau)

【机构】 哈尔滨工业大学中国地震局工程力学研究所

【摘要】 本文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,提出了求解波动问题的应力-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[8])为本文的特例。通过解析解数值检验表明,本文建议的方法具有较高的精度,而格子法计算精度较低。

【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.

【关键词】 有限元应力-速度交叠格式
【Key words】 finite-element, strees - velocitystagg
【基金】 地震学联合基金!(95-07-442)
  • 【文献出处】 地震工程与工程振动 ,Earthquake Engineering and Engineering Vibration , 编辑部邮箱 ,2000年04期
  • 【分类号】O241.8
  • 【被引频次】11
  • 【下载频次】221
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