| 三维高次等参元退化单元在有限元中的应用 |
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| 引用本文： | 周伟,高广军.三维高次等参元退化单元在有限元中的应用[J].铁道机车车辆,2008,28(1):11-14. |
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| 作者姓名： | 周伟 高广军 |
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| 作者单位： | 中南大学,轨道交通安全教育部重点实验室,湖南长沙,410075 |
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| 摘 要： | 介绍了高次等参元退化单元常见型式及其在有限元分析中的应用，具体讨论了节点退化和形状退化情况下单元节点插值形函数的构造和修改，研究了混合单元的有限元求解流程，并编写了相关的求解程序，通过具体算例比较了混合单元与全六面体等参元网格的计算情况，结果表明三维高次等参单元及其退化单元的混合应用不仅可以适应较为复杂的空间实体计算网格，而且还能满足精度上的要求，具有重要的工程意义。
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| 关 键 词： | 有限元 等参元 退化单元 |
| 文章编号： | 1008-7842（2008）01-0011-03 |
| 收稿时间： | 2007-07-26 |
| 修稿时间： | 2007年7月26日 |
Application of Degeneration of Three-dimensional High-order Isoparametric Element |
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| ZHOU Wei,GAO Guang-jun.Application of Degeneration of Three-dimensional High-order Isoparametric Element[J].Railway Locomotive & Car,2008,28(1):11-14. |
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| Authors: | ZHOU Wei GAO Guang-jun |
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| Institution: | ZHOU Wei, GAO Guang -jun (Key Laboratory for Track Traffic Safety of Ministry of Education, Central South University, Changsha 410075 Hunan, China) |
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| Abstract: | The apphcation of three-dimensional high-order isoparametric element in finite element analysis was introduced simply.The constitution and modification of interpolation shape function on node in element under node degeneration and shape degeneration was discussed concretely. Detailed program process of finite element solution of hybrid elements was studied with corresponding solution program compiled. With a specific calculating exam- ple by hybrid elements and total isoparametric hexahedral elements calculated, it indicates that the application of 3-dimensional high-order isopara-metric element and its degenerative elements can not only be adapted to complex grid of solid elements, but also satisfy the required precision, which could make great sense in engineering. |
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| Keywords: | finite element method isoparametric element degeneration |
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