摘要
本文采用含有频率的高阶位移函数，由二维波动方程导出了波在有限元网格中传播的频散关系，利用这一关系给出了波动的稳定条件。理论分析和数值计算结果表明，文中的有限元方法明显地改善了有限元网格中波动的频散性和稳定性。
On the basis of high-order shape function of displacement containing frequency factor, the dispersion equation of wave propagation in finite element meshes is derived from two -dimensional wave equation, and based on it, the wave motion stability condition is proposed. Fro ftn the theoretical and numerical results, it is shown that the behaviour of dispersion and stability is greatly improved by the finite element method presented in the paper.
出处
《地震工程与工程振动》
CSCD
北大核心
2000年第1期21-26,共6页
Earthquake Engineering and Engineering Dynamics
基金
广东省高教厅重点科研基金!970023
关键词
有限元网格
波动
频散关系
稳定条件
地震工程
wave motion in finite element meshes, dispersion relationship, stability condition
