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两相介质波动问题显式有限元方法稳定性研究

李亮 杜修力 李立云 翟威

西北地震学报2011,Vol.33Issue(3):218-222,227,6.
西北地震学报2011,Vol.33Issue(3):218-222,227,6.

两相介质波动问题显式有限元方法稳定性研究

Study on Stability of Explicit Finite Element Method for Wave Motion of Fluid-saturated Porous Media

李亮 1杜修力 1李立云 1翟威1

作者信息

  • 1. 北京工业大学城市与工程安全减灾教育部重点实验室,北京 100124
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摘要

Abstract

The stability of time-domain explicit finite element method for wave motion of fluid-saturated porous media is studied based on the transfer matrix of calculating formula of dynamic response. A new discriminant index-transfer factor, which considers different influence factors synthetically, is defined to describe the stability of the method. The effects of time step, space interval and the value of permeability coefficient on stability are analyzed and the practical stability criterion is put forward. Calculating results show that with increase of time step, the stability of the method is reduced, with the increase of space interval, the stability is enhanced, and with the increase of the value of permeability coefficient, the stability of the method will be enhanced also.

关键词

饱和两相介质/波动问题/时域显式有限元方法/稳定性/传递矩阵/判别准则

Key words

Fluid-saturated porous media/ Wave motion/ Time-domain explicit finite element method/ Stability/ Transfer matrix/ Discriminant criterion

分类

土木建筑

引用本文复制引用

李亮,杜修力,李立云,翟威..两相介质波动问题显式有限元方法稳定性研究[J].西北地震学报,2011,33(3):218-222,227,6.

基金项目

国家重点基础研究发展计划973项目(2007CB714203) (2007CB714203)

北京市科技新星计划(A类)项目(2008A016) (A类)

2011年度北京市属高等学校人才强教深化计划中青年骨干人才项目(PHR20110808) (PHR20110808)

西北地震学报

OA北大核心CSCDCSTPCD

1000-0844

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