考虑铸造约束的空间结构节点拓扑优化设计研究  

Topology optimization design of spatial structural nodes considering casting constraint

作　　者：韩文哲 王超 杜文风[2] 余永强[1] 徐斌[3] HAN Wenzhe;WANG Chao;DU Wenfeng;YU Yongqiang;XU Bin(School of Civil Engineering,Henan Polytechnic University,Jiaozuo 454003,China;School of Civil Engineering and Architecture,Henan University,Kaifeng 475004,China;School of Mechanics,Civil Engineering and Architecture,Northwestern Polytechnical University,Xi'an 710072,China)

机构地区：[1]河南理工大学土木工程学院,河南焦作454003 [2]河南大学土木建筑学院,河南开封475004 [3]西北工业大学力学与土木建筑学院,陕西西安710072

出　　处：《建筑结构学报》2024年第10期170-180,共11页Journal of Building Structures

基　　金：国家自然科学基金项目(12372124);中国博士后科学基金资助项目(2023T160189);河南省高等学校重点科研项目(24A130001);中建股份重点研发课题(CSCEC-2020-Z-4)。

摘　　要：针对工业化批量生产的高性能可铸造性空间结构节点设计问题,引入集成铸造约束的连续体结构拓扑优化方法,对典型空间结构节点进行了拓扑优化设计研究。建立了多荷载工况下协同考虑铸造约束和材料体积约束的节点域应变能最小化(等价于节点刚度最大化)优化模型,利用阈值投影技术抑制密度过滤导致的大量中间密度单元以改善设计性能,通过MATLAB实现优化程序。以经典3D四耳板空间结构节点为设计对象,进行了有无铸造约束的空间结构节点拓扑优化对比研究,并分析了不同过滤半径、荷载工况、材料体积以及网格密度对节点优化设计的影响规律。研究结果表明:传统优化设计方法不能确保空间结构节点设计满足铸造工艺要求,引入铸造约束是解决这一难题的必要且可行方法;降低过滤半径和提高材料用量将有助于增强节点设计刚度,细化有限元网格能够改善节点设计质量,但将大幅增加计算成本。Aiming at the design problem of high-performance spatial structural nodes considering castability for industrialized batch production,a continuum topology optimization method integrating casting constraint was introduced to conduct the concept design of typical spatial structural nodes.An optimization model for minimizing the strain energy of the nodal domain(equivalent to maximizing nodal stiffness)was established under multi-loading conditions,which simultaneously considers casting and material volume constraints.To improve the design performance,threshold projection technology was used to suppress the generation of a large number of intermediate-density elements caused by density filtering.The optimization program was implemented through MATLAB.Comparative research was conducted on the topology optimization of spatial structural nodes with or without casting constraint,using the classic 3D four-ear plate spatial structural node as the design object.And the effects of different filtering radii,loading conditions,material volume,and meshes on the optimized design were evaluated.The results show that the traditional optimization method cannot ensure the castability of the optimized design of spatial structural nodes,and the casting constraint consideration is a necessary and feasible method to solve this problem.Reducing the filtering radius and increasing the amount of material will help enhance the design stiffness of the optimized nodes.Refining the finite element mesh can improve the design quality of nodes,but it will significantly increase computational costs.

关 键 词：空间结构 节点 拓扑优化 铸造约束 可制造性设计 

分 类 号：TU393.3[建筑科学—结构工程] TU311.4