摘要
This paper presents a node shift method to find the optimal distribution of nodes in single-layer reticulated shells. The optimization process searches for the minimum strain energy configuration and this leads to reduced sensitivity in initial imper- fections. Strain energy sensitivity numbers are derived for free shift and restricted shift where nodes can move freely in the 3D space or have to move within a predefmed surface respectively. Numerical examples demonstrate the efficiency of the proposed approach. It was found that optimized structures achieve higher ultimate load and are less sensitive to imperfections than the initial structure. The configuration of the final structure is closely related to factors like the initial structural configuration, spatial conditions, etc. Based on different initial conditions, architects can be provided with diverse reasonable structures. Furthermore, by amending the defined shapes and nodal distributions, it is possible to improve the mechanical behavior of the structures.
研究目的:寻找单层网壳结构的最优节点分布,提高结构刚度,改善结构整体力学性能。创新要点:解决了单层网壳结构节点最优分布问题,实现了三种单层网壳节点位置优化的方式:自由调整,只竖向调整和在指定曲面上的调整。三种方式都可以提高结构刚度,改善结构力学性能。研究方法:根据结构应变能对节点坐标变化的敏感度,对节点坐标进行调整,修正已有的单层网壳结构,并创构自由曲面结构(图15)。重要结论:本文的节点移动敏感度方法在优化单层网壳结构时,不仅可以提高结构极限承载力,而且可以降低结构对初始几何缺陷的敏感度程度。
基金
Project supported by the National Natural Science Foundation of China （No. 50978075）
