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由于横索悬垂、复杂边界和不对称张拉等因素影响,大尺度单层平面索网玻璃幕墙中出现玻璃安装困难和索力耦联等问题。提出了单层平面索网结构的找形问题,并分析了该问题的独有特点和解决的必要性。针对此类找形问题,文中对非线性有限元逆迭代法进行推广,提供了方便实用的解决方法。为了提高迭代的收敛速度,引进了找形差值修正比例因子矩阵,并给出了该矩阵元素的具体计算公式。算例证明,该方法精确实用,表明单层索网玻璃幕墙支承体系的找形分析非常必要,而且经找形后的索网索力分布更均匀,减少了两个方向索力的耦联,提高了索网结构的安全性和经济性。
Due to the influence of transverse cable overhang, complicated boundary and asymmetric tensioning, the problems of glass installation and coupling of cable forces appear in large-scale single-layer flat cable glass curtain wall. The problem of finding the shape of single-layer plane cable net is put forward, and the unique characteristics of the problem and the necessity of its solution are analyzed. In order to solve this problem of finding the shape, this paper presents a convenient and practical method to generalize the inverse of nonlinear finite element method. In order to improve the convergence speed of iteration, a matrix of scaling factors to find the shape difference is introduced, and the concrete formulas of the matrix elements are given. The example shows that the method is accurate and practical, which shows that it is very necessary to find the shape analysis of the single-layer cable glass curtain wall support system, and the distribution of the cable force is more even after the shape-finding, which reduces the coupling of cable forces in two directions, Improve the safety and economy of the cable network.