葵花形开孔单层球面网壳的机动分析、简化杆系模型和计算方法

Kinematical analysis,simplified strut model and calculation method of sunflower-patterned single-layer reticulated spherical shells with opening

通过机动分析,论证了葵花形(指葵花形三向网格型)开孔单层球面网壳是能满足结构几何不变性基本要求的静定空间桁架结构.提出了简化杆系计算模型及其基本方程,精确求得网壳内力的递推计算公式和简便的位移计算公式.给出网壳支承在圈梁且需考虑与下部结构协同工作时的计算方法.在多种荷载工况和不同网壳矢跨比时作了参数分析和对比.本文的简化分析方法可方便地揭示网壳受力特性和主要内力、位移的变化规律,可为该类网壳结构的初步设计与多方案比较时采用.

Through kinematical analysis,geometric invariant of the sunflower-patterned single-layer reticulated spherical shell with opening is demonstrated.The simplified strut modal and basic equation are established,and the accurate formular of internal forces and simple formular of displacements are derived.A calculation method that can account for the cooperative action between substructures and shells supported on a ring beam is proposed.The mechanical characteristic of this kind of reticulated spherical shell under different load cases and different height-to-length ratios is discussed.With the proposed simplified method,the mechanical characteristic of the reticulated shells,the main internal force and displacement can be quickly determined.The work here will benefit the preliminary design and comparison of manifold schemes for this kind of reticulated shells.