双向张弦结构下弦拉索曲面的找形方法
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摘要
根据双向张弦结构索的平衡荷载与索曲面及索拉力之间的关系,给出下弦索网所在曲面的偏微分方程和边界条件;提出先进行复杂边界条件自平衡索网找形,再进行平面索网平衡荷载下变形计算,然后叠加计算下弦索网曲面形状的方法;通过算例介绍有限元法确定下弦曲线的过程,验证计算方法的正确性。给出的计算方法物理意义明确、计算过程简单方便、计算结果准确,适合各种复杂边界条件的双向张弦梁设计。
The differential equations of the curved surface of down cable-net of bi-directional string structure with complex boundary condition are deduced based on the relationship of balanced load and the form of cable-net and the tensions of the strings.The nonlinear FEM to calculate the curved cablenet surface is provided according to the equilibrium condition of plane cable-net.The FEM process to calculate the net surface is introduced by an example.The method in the paper has the definite physical meaning,is easy to carry out and has the accurate result.Every bi-directional string structure with complex boundary condition can be calculated by the method provided.
引文
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