| 有限元网格中波动的频散与稳定性的一种改进方法 |
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| 引用本文： | 房营光,莫海鸿.有限元网格中波动的频散与稳定性的一种改进方法[J].地震工程与工程振动,2000,20(1):21-26. |
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| 作者姓名： | 房营光 莫海鸿 |
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| 作者单位： | 1. 广东工业大学,广州,510080
2. 华南理工大学,广州,5l0641 |
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| 基金项目： | 广东省高教厅重点科研基金!970023 |
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| 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。
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| 关 键 词： | 有限元网格 波动 频散关系 稳定条件 地震工程 |
An improved method for dispersion and stability of wave motion in finite element meshes |
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| FANG Ying-guang,MO Hai-hong.An improved method for dispersion and stability of wave motion in finite element meshes[J].Earthquake Engineering and Engineering Vibration,2000,20(1):21-26. |
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| Authors: | FANG Ying-guang MO Hai-hong |
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| Abstract: | 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. |
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| Keywords: | wave motion in finite element meshes dispersion relationship stability condition |
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