单层空间网格结构刚性节点的衍生式生成方法研究

Research on generative generation of rigid joints in single-layer spatial grid structures

单层空间网格结构节点是结构中受力最集中的部位,应具有合理的结构形式和良好的力学性能。目前,国内现有的刚性节点,其种类单一,自重较大,且易出现应力集中,节点品质参差不齐。针对这些问题提出了一种衍生式生成方法,介绍衍生式生成方法的基本原理,给出了其数学模型;基于衍生式生成方法得到了在不同保留质量、施加环向对称约束以及改变保留几何图元种类后的单层空间网格结构刚性节点构型的设计结果;并将所得到的刚性节点构型与传统焊接空心球节点进行静力性能对比分析。结果表明:衍生式生成方法具有较强的探索能力,其所得到的刚性节点造型新颖独特、体态轻盈美观,相比传统焊接空心球节点,质量最大可减少57.1%,最大等效应力最高可下降29.13%,最大位移最多可减少36.36%,可实现单层空间网格结构刚性节点轻质高强、安全美观的多样化设计。

The joints of the single-layer free-form spatial grid structure are the most concentrated parts of the structure,and should have reasonable configurations and excellent mechanical performances.At present,the most widely used rigid joints in single-layer spatial grid structures are of single type,have large deadweight,are prone to stress concentration,and have uneven joint quality.This paper proposes a generative generation method for rigid joints of single-layer spatial grid structures.Firstly,the basic principle of generative generation method is introduced,and its mathematical model is given.Secondly,based on the generative generation method,the diversified design results of the new rigid joint configurations of single-layer spatial grid structures with different reserved masses,circumferential symmetry constraints and changed reserved geometry are obtained.Then,the static performance of the new rigid joint configuration is compared with that of the traditional welded hollow spherical joints.The results show that the generative generation method has a strong exploration and innovation ability,and the new rigid joints obtained are novel in shape,and are light and beautiful.Compared with the traditional welded hollow spherical joint,the mass,the maximum equivalent stress and the maximum displacement can be reduced by 57.1%,29.13%and 36.36%,respectively.The generative generation method proposed in this paper can realize the diversified design of single-layer spatial grid structure joints that are lightweight,high-strength,safe and beautiful.