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针对底面为矩形的球面网壳结构,分析了常见三种网格形式的非线性稳定性能,选出其中性能较合理的一种网格形式,通过大规模参数化分析,较为系统地研究了矩形平面单层三向球面网壳结构的稳定性能,并给出了其极限承载力拟合公式.研究结果表明:常见网格形式中三向网格矩形底面球面网壳的稳定性能最优;极限载荷与结构等代刚度呈线性关系;初始几何缺陷对网壳极限载荷影响非常明显,当初始缺陷值取L/300时,极限载荷降低率在53.5%~65.8%之间;结构对载荷不对称分布并不敏感;立体桁架能够显著提高结构的极限承载能力.
Aiming at the reticular shell structure with a rectangular bottom, the nonlinear stability of three common gridding forms is analyzed, and a grid form with more reasonable performance is selected. Through large-scale parametric analysis, the rectangular The stability of planar three layer reticulated reticulated shell structure is given and the fitting formula of its ultimate bearing capacity is given.The results show that the stability of the reticulated reticular shell with spherical bottom is the best in the common grid form and the limit The load has a linear relationship with the equivalent stiffness of the structure. The influence of the initial geometric imperfection on the ultimate load of reticulated shell is very obvious. When the initial defect value is L / 300, the ultimate load reduction rate is between 53.5% and 65.8% Distribution is not sensitive; three-dimensional truss can significantly improve the ultimate bearing capacity of the structure.