| 唐建民.柔性结构非线性分析的杆单元有限元法[J].南华大学学报(自然科学版),1996,(1):.[.A Nonlinear Finite Element Method with Straight-Line Element for the Analysis of Flexible Structures[J].Journal of University of South China(Science and Technology),1996,(1):.] |
| 柔性结构非线性分析的杆单元有限元法 |
| A Nonlinear Finite Element Method with Straight-Line Element for the Analysis of Flexible Structures |
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| DOI： |
| 中文关键词: 柔性结构，非线性有限元，杆单元 |
| 英文关键词:flexible structures, nonlinear finite element, straight-line element |
| 基金项目: |
| 唐建民 |
| 中南工学院建筑工程系 |
| 摘要点击次数: 754 |
| 全文下载次数: 3 |
| 中文摘要: |
| 本文根据非线性弹性理论，采用拉格朗日坐标描述法，在三维整体坐标系下，直接根据应变的定义建立了精确应变的非线性几何关系．从而可以考虑任意次高阶位移的影响，得到了轴向应力应变的直接关系，根据虚功原理推导了杆单元非线性有限元增量方程及切线刚度矩阵，利用Ｎｅｗｔｏｎ－Ｒａｐｈｓｏｎ法进行了实例计算．结果表明本法精度很高，适合于柔性结构分析、设计时采用． |
| 英文摘要: |
| According to the nonlinear elastic theory, using the Lagrange method, the author first established the nonlinear geometrical expression of the strain considering the effect of displacement with the terms of high-ordrer under the three dimensional structural coordinate. Then he obtained the nonlinear incremental equation as well as the tangent stiffness matrix of the element in terms of the virtual displacement principle. In the end,the author used this method to calculate two practical examples, and found that the proposed method in the paper led to high precision. The method presented in this paper can be applied to the analysis of flexible structures with a medium-sized span or less. |
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