大矢跨比局部双层球面网壳的形式及稳定性分析

首先比较了球面基本三角形网格的划分形式，最优网格划分法得到的网格三类型数量最少，最经济，提出了构造球面网壳局部双层形式的方法和五种具有工程应用价值的形式，采用几何非线性有限元理论，对几种网壳形式进行了深入的稳定分析，参数分析并与单层网壳的稳定特征进行了比较，本研究结果对实际工程有重要应用价值。

FORMATIONS AND STABILITY ANALYSES OF PARTIAL DOUBLE-LAYER RETICULATED DOMES WITH HIGH RISE-TO-SPAN RATIOS

The divided approaches for the basic spherical triangles are first compared. The grids obtained from the optimum division method are found to have the least three class numbers, i.e. the types of triangles, member lengths and joints. The configuration methods for paritial double layer reticulated domes are then proposed, and five types of structural forms are presented which can be adopted in practical design. Using the geometrical nonlinear finite element theory, a parametric study covering wide variations of structural forms and member sections is carried out to investigate the stability performances of partial double layer reticulated domes. The results are compared with those of the corresponding single layer reticulated domes. The results from this study could be of significant value to the design of braced dome structures.