| 图论在薄壁杆件结构计算中的应用 |
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| 引用本文： | 胡毓仁.图论在薄壁杆件结构计算中的应用[J].上海交通大学学报,1989(6). |
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| 作者姓名： | 胡毓仁 |
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| 作者单位： | 上海交通大学船舶及海洋工程系 |
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| 摘 要： | 本文把图论引入薄壁杆件结构计算,建立了薄壁剖面的图模型,从而简洁准确地给出了薄壁剖面拓扑关系的数学描述.在此基础上,导出了计算扇性坐标、Bredt 剪应力流、二次剪应力流及弯曲剪应力流的矩阵方程式,可方便地使用电子计算机求解,避免了在具体计算过程中因判断剖面拓扑关系而引起的困难.
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| 关 键 词： | 图论 薄壁杆件 结构分析 薄壁杆件扭转 |
The Application of Graph Theory to Structural Calculation of Thin-walled Bars |
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| Hu Yuren.The Application of Graph Theory to Structural Calculation of Thin-walled Bars[J].Journal of Shanghai Jiaotong University,1989(6). |
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| Authors: | Hu Yuren |
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| Abstract: | The graph theory is introduced in this paper into the structural
calculation of thin-walled bars.It is employed as a means to establish the
topological model of thin-walled cross-sections.On this basis,matrix
equations for calculating sectorial coordinates,Bredt shear flows,secondary
shear flows and bending shear flows are derived,which can be solved easily
by using a computer,without and difficulty in recognizing the topological
relation of the thin-walled cross-section. |
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| Keywords: | graph theory thin-walled bars structural calculation torsion of thin-walled bars |
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