中文摘要：

针对单层蜂窝网格型球面网壳利用有限元软件ANSYS对其进行了非线性稳定性研究．首先对两类蜂窝网格型球面网壳的稳定性能进行对比分析，确定了一种比较合理的网格布置形式．然后进行参数分析，分析了跨度、矢跨比、网格大小、初始缺陷、荷载不对称分布和材料非线性对网壳稳定性的影响．研究发现：在两类蜂窝网格形式的球面网壳中，网格工型的整体稳定性能更好；分析建议其跨度不宜大于40m，矢跨比取0．25左右，杆件长度取2m左右，此时网壳整体稳定性较好，材料利用率较高；材料非线性对单层蜂窝网格型球面网壳的稳定承载力影响显著，考虑材料非线性后，网壳稳定承载力下降达50％；网壳对初始缺陷非常敏感，其理论最大缺陷值为跨度的1／150，此时网壳极限承载力最大下降达52％左右；网壳结构对荷载不对称分布不敏感．

英文摘要：

The finite element software ANSYS was used to investigate the nonlinear stability of single- layer spherical latticed shells with hexagonal connection form. Firstly, a reasonable grid layout was deter- mined by analyzing and comparing the stability of two types of honeycomb spherical latticed shells. A large scale parametric analysis was then carried out, including the influences of the span, raise-span ratios, grid size, initial geometric imperfection, asymmetric load distribution, and material nonlinearity on the stability behavior of honeycomb spherical latticed shells. The results show that the grid of type I exhibits better overall stability capacity for two kinds of grid configurations of single-layer honeycomb spherical latticed shells. It is also suggested that the span should not exceed 4.0 m. The overall stability of the net shell is better and material utilization is higher, when the rise to span ratio is close to 0.25 and the bar length is a- bout 2 meters. Meanwhile, the material nonlinearity has a great effect on the stability of the bearing capacity for single-layer honeycomb spherical latticed shells, and the bearing capacity of latticed shells is decreased by 50%. However, the critical load of latticed shells is reduced by 52% when the initial defects reach 1/150 of the span. Moreover, it is found that the reticulated shells are not sensitive to the asymmetric loads.