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首先比较了适宜大矢跨比球面网壳的基本三角形网格划分形式,指出最优网格划分法得到的三类型数量(杆长、三角形、节点)最少、最经济。提出了构造球面网壳局部双层形式的方法,基于最优网格划分短程线型与三向格子形网壳,构造五种具有工程应用价值的局部双层形式。采用几何非线性有限元理论和屈曲路径跟踪技术,对几种网壳形式进行了深入的稳定分析。研究了稳定承载力随杆件尺寸变化规律,按梁单元与杆单元分析不同的稳定特性,大矢跨比局部双层与单层网壳稳定特性比较,以及小矢跨比网壳的屈曲特性。
First of all, we compared the basic triangular mesh of suitable Lattice Spherical Reticulated Reticulated Shells, and pointed out that the minimum number of three types (pole length, triangle, node) obtained by the optimal meshing method is the most economical. A method of constructing local double-layer form of spherical reticulated shell is proposed. Based on the optimal mesh, the short-range linear and three-dimensional lattice reticulated shells are used to construct five local double-layer forms with engineering application value. Using the geometrical nonlinear finite element theory and the buckling path tracking technique, several types of reticulated shell are analyzed in-depth and in-depth. The variation of steady bearing capacity with the bar size is analyzed. The stability characteristics of the double-layer and single-layer latticed latticed shells are compared according to different stability characteristics of girder element and bar element.