| 吴存利,胡丙相.二维波动方程的动态有限元离散化的频散研究[J].计算力学学报,1996,13(1): |
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| 二维波动方程的动态有限元离散化的频散研究 |
| Dispersion analysis of dynamic finite element semidiscretizations of the two-dimensional wave equation |
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| DOI：10.7511/jslx19961007 |
| 中文关键词: 形函数/动力元,频散 |
| 英文关键词:shape function/dynamic finite element,dispersion |
| 基金项目: |
| 吴存利 胡丙相 |
| 航空工业总公司623研究所!西安86信箱，710061 |
| 摘要点击次数: 1695 |
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| 中文摘要: |
| 本文利用二维波动方程，推导出波在单元内行进的动态形函数，在此基础上，得到了波在离散体内传播的频散关系，利用这一关系式，绘出了频谱曲线．分析表明：波在离散体内传播的频散程度不仅与波的传播方向有关而且与单元的质量分布、网格划分有密切的关系． |
| 英文摘要: |
| Based on the dynamic finite element techniques, the behaviour of semidiscretized wavepropagation solutions has been received attention. Throught a series of derivations, the dis persive equation is got, with it, the graphs are drawn. lt shows that the dispersive error has a great relation ship with not only the mesh layout, but also the element mass distributions and the propagation directions. It also gives the accuracy and efficiency of the dynamic finite element method compared with the conventional one. |
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