| 一个改进的平面梁单元 |
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| 引用本文： | 张元海.一个改进的平面梁单元[J].计算力学学报,2002,19(1):109-111. |
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| 作者姓名： | 张元海 |
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| 作者单位： | 兰州铁道学院土,木建筑学院,兰州,730070 |
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| 摘 要： | 根据有限单元法基本原理 ,提出了一个变截面平面梁单元 ,推导了其单元钢度矩阵。这一改进的梁单元用于分析梁高呈线性变化及二次抛物线变化的矩形截面梁 ,将得到准确解。文中给出了一个变截面悬臂梁算例 ,计算表明 ,这一改进的梁单元使变截面梁的分析大大简化
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| 关 键 词： | 变截面梁 梁单元 刚度矩阵 有限单元法 |
| 文章编号： | 1007-4708(2002)01-0109-03 |
| 修稿时间： | 2000年3月17日 |
An improved plane beam finite element |
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| Zhang Yuanhai.An improved plane beam finite element[J].Chinese Journal of Computational Mechanics,2002,19(1):109-111. |
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| Authors: | Zhang Yuanhai |
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| Abstract: | By applying the basic principles of the finite element methods, a finite element of plane non-uniform beam is proposed in this paper. The improved element gives exact results for analyzing the non-uniform rectangular beams with both linear and parabolic variation heights of the transverse section. A non-uniform cantilever beam is presented as an example, which shows that the present element simplifies the analysis of non-uniform beams distinctly. |
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| Keywords: | non-uniform beam beam finite element stiffness matrix finite element method |
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