| 泊松方程与双向张弦梁找形 |
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| 引用本文： | 尚仁杰, 刘景亮, 吴转琴, 李佩勋. 泊松方程与双向张弦梁找形[J]. 力学与实践, 2007, 29(5): 17-20. doi: 10.6052/1000-0992-2007-004 |
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| 作者姓名： | 尚仁杰 刘景亮 吴转琴 李佩勋 |
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| 作者单位： | 中冶集团建筑研究总院, 中冶集团建筑研究总院, 中冶集团建筑研究总院, 中冶集团建筑研究总院 |
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| 摘 要： | 根据双向张弦梁上、下弦的平衡荷载与索曲面及索拉力之间的关系，给出了上、下弦所在曲面的泊松方程；给出了矩形边界和椭圆边界泊松方程的求解方法；通过算例验证了泊松方程找形方法的正确性. 给出的泊松方程求解方法可以非常准确计算出双向张弦梁的形状，便于在工程中应用.
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| 关 键 词： | 平衡荷载 双向张弦梁 找形 泊松方程 |
| 收稿时间： | 2007-01-04 |
| 修稿时间： | 2007-01-04 |
POISSON EQUATION AND FORMFINDING OF BI-DIRECTIONAL STRING STRUCTURE |
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| SHANG Renjie,LIU Jingliang,WU Zhuanqin,LI Peixun. POISSON EQUATION AND FORMFINDING OF BI-DIRECTIONAL STRING STRUCTURE[J]. Mechanics and Engineering, 2007, 29(5): 17-20. DOI: 10.6052/1000-0992-2007-004 |
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| Authors: | SHANG Renjie LIU Jingliang WU Zhuanqin LI Peixun |
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| Affiliation: | Central Research Institute of Building and Construction, MMC Group, Beijing 100088, China |
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| Abstract: | According to the relationship between the balanced load,the shape of bi-directional string structure and the tensions of the strings,the differential equation,Poisson equation of the curved surface of up and down string-net of bi-directional string structure,is deduced in the paper.The solution method of Poisson equation for the curved surface is obtained.The process and accuracy of the solution method are discussed through examples.The method in the paper can yield extremely accurate results and is easy to implement in engineering applications. |
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| Keywords: | balance load bi-directional string structure formfinding poisson equation |
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