波动问题中的三维时域粘弹性人工边界  

THREE-DIMENSIONAL VISCO-ELASTIC ARTIFICIAL BOUNDARIES IN TIME DOMAIN FOR WAVE MOTION PROBLEMS

作　　者：刘晶波[1] 王振宇[1] 杜修力[2] 杜义欣[1] 

机构地区：[1]清华大学土木工程系,北京100084 [2]北京工业大学,北京100022

出　　处：《工程力学》2005年第6期46-51,共6页Engineering Mechanics

基　　金：国家973项目(2002CB412706);国家自然科学基金(50078028);北京市自然科学基金重点项目(8011002)资助

摘　　要：应用弹性波动理论,发展了实现波动直接模拟的三维时域粘弹性人工边界。首先基于三维波动方程推导了三维粘弹性人工边界的法向与切向边界方程,然后研究了时域粘弹性人工边界的数值模拟技术,最后通过典型的波动问题算例证明了给出的三维人工边界具有较高精度,可以方便地应用于三维波动问题的模拟分析。Three-dimensional visco-elastic artificial boundaries in time domain are developed by means of theory of elastic wave motion in this paper. Three-dimensional visco-elastic artificial boundary equations along normal and tangent directions are derived based on three-dimensional wave motion equations. Numerical simulation techniques of visco-elastic artificial boundaries in time domain are studied. Numerical examples of classic wave motion problems demonstrate that high precision is achieved by use of three-dimensional visco-elastic boundaries, and that the boundaries can be used in analysis of three-dimensional wave motion problems easily.

关 键 词：波动 粘弹性人工边界 三维介质 时域 无限域 

分 类 号：O347.4[理学—固体力学] P315.3[理学—力学]