矩形平面单层球面网壳的静力稳定性  

Static stability of single-layer reticulated spherical shells with rectangular bottom

作　　者：胡朝霞[1] 贺拥军[1] 

机构地区：[1]湖南大学土木工程学院,湖南长沙410082

出　　处：《辽宁工程技术大学学报（自然科学版）》2016年第12期1458-1462,共5页Journal of Liaoning Technical University (Natural Science)

基　　金：国家自然科学基金项目(51178176);教育部博士点基金项目(20120161110019)

摘　　要：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．For the single-layer spherical reticulated shell with rectangular bottom, the nonlinear stability of three common grid layout was analyzed and compared, and a rational grid configuration was determined. A large-scale parametric analysis was carried out and the static stability of single-layer three-dimensional reticulated spherical shells with rectangular bottom were systematically studied, and its ultimate bearing capacity fitting formula was put forward. Research indicates that the three-dimensional performs best stability capacity in the common grid layout of single-layer reticulated spherical shells with rectangular bottom. Ultimate load and structure equivalent stiffness keep linear relationship. The influence of initial geometric imperfection on limit load is very apparent. When the initial defect value reaches L / 300, the ultimate load reduction rate varies between 53.5% and 65.8%. Structure is not sensitive to the unsymmetrical distribution of load. The three-dimensional truss can significantly improve the ultimate bearing capacity of the structure.

关 键 词：矩形底面 单层球面网壳 静力稳定性 等代刚度 初始几何缺陷 

分 类 号：TU393.3[建筑科学—结构工程]