| 引用本文: | 易晓山,任钧国,周建平.一种精确积分的四边形四结点等参单元.[J].国防科技大学学报,1998,20(1):1-4.[点击复制] |
| Yi Xiaoshan,Ren Junguo,Zhou Jianping.An Accurately Integrated 4-Node Quadrilateral Element[J].Journal of National University of Defense Technology,1998,20(1):1-4[点击复制] |
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| 一种精确积分的四边形四结点等参单元 |
| 易晓山, 任钧国, 周建平 |
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(国防科技大学 航天技术系 湖南 长沙 410073)
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| 摘要: |
| 针对平面问题四边形四结点单元，提出一种新的等参变换方法。采用平行四边形母单元和相应的形函数，推导出四边形四结点等参单元刚度矩阵的精确积分解.理论和数值分析表明，该方法从根本上克服了数值积分带来的误差，计算单元刚度矩阵的速度比传统的高斯两点积分方法快近三倍 |
| 关键词: 四边形单元，精确积分，有限元法 |
| DOI： |
| 投稿日期：1997-02-25 |
| 基金项目: |
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| An Accurately Integrated 4-Node Quadrilateral Element |
| Yi Xiaoshan, Ren Junguo, Zhou Jianping |
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(Department of Astronautics Technology，NUDT，Changsha，410073)
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| Abstract: |
| In this paper，a new isoparametric transformation of a parallel quadrilateral parent element and the associated shape function is constructed to derive the accurately integerated stiffness matrix of the 4-nodes quadrilateral element. It has been demonstrated by theoretical and numerical analysis that the error of numerical integration is overcome by using the method and the computing speed of the method is almost three times of that of the two-point Gauss' integration. |
| Keywords: quadrilateral element,accruately integration,finite element method |
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