摘要
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。
At first, the approaches for dividing the grid size in basic spherical triangles suitable for spherical dome of high rise/span ratios are compared and the so called optimism division method is found to have the least three class numbers, i.e. the number of triangles, the member lengths and the number of joints. Formation procedures are proposed for the partial double layer spherical domes (PDLSD). Five classes of applicable domes are constructed from the optimized division approach of geodesic form and the type of tri way grid dome. By use of the geometrically nonlinear finite element theory and complete path following technique of arc length method, the buckling performances have been investigated thoroughly for a series of reticulated spherical domes. The variations of buckling load capacity are evaluated with respect to the member sections. Different stability characteristics are analyzed for the analytical model of beam and bar elements. Furthermore, the performances of high rise PDLSD are compared with the corresponding single layer form, and even with the shallow single layer dome.
出处
《建筑结构学报》
EI
CAS
CSCD
北大核心
2002年第3期75-83,共9页
Journal of Building Structures
基金
国家自然科学基金项目(59895410)资助。
关键词
大矢跨比
球面网壳
局部双层形式
稳定性分析
high rise/span ratio, reticulated spherical dome, partial double layer grid forms, stability analysis
