波动问题中的三维时域粘弹性人工边界

详细信息

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

Department of Civil Engineering, Tsinghua University, Beijing 100084, China;2. Beijing University of Technology, Beijing 100022, China

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.
- 波动 /
- 粘弹性人工边界 /
- 三维介质 /
- 时域 /
- 无限域
Abstract: 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.
- wave motion /
- visco-elastic artificial boundary /
- three-dimensional media /
- time domain /
- infinite domain