河南理工大学学报（自然科学版）2025，Vol.44Issue(4)：170-178,9.DOI:10.16186/j.cnki.1673-9787.2023110038
可铸造性十字板式节点拓扑优化设计研究
Topology optimization design of castable cross-plate joints
摘要
Abstract
Objectives Cross-plate joints are widely used in spatial structures.However,traditional topology optimization methods often produce geometrically complex results that are difficult to cast.This study intro-duces a topology optimization approach that incorporates casting constraints to improve the castability of such joints.Methods A density-based topology optimization framework is adopted,aiming to minimize struc-tural compliance(i.e.,maximize stiffness)while considering both material volume and casting constraints.To mitigate intermediate density issues,a combination of density filtering and threshold projection is em-ployed.The P-norm function is introduced to address the differentiability of the casting constraint function.Optimization designs are conducted for typical 2D and 3D cross-plate joints.Results The results demon-strate that integrating casting constraints into the optimization process effectively addresses the casting chal-lenges associated with conventional methods.Variations in demoulding direction and material volume signifi-cantly influence joint design-appropriate demoulding directions and sufficient material availability lead to high-performance outcomes.Additionally,filter radius and mesh density affect design quality:smaller filter radii yield finer designs,and denser meshes result in smoother configurations.Conclusions The proposed method produces innovative joint configurations that satisfy castability requirements.This work offers practi-cal guidance for the castability-aware design of cast-steel joints in spatial structures.关键词
拓扑优化/十字板式节点/可铸造性/铸钢节点/空间结构Key words
topology optimization/cross-plate joint/castability/cast-steel joint/spatial structure分类
建筑与水利引用本文复制引用
余永强,韩文哲,王超..可铸造性十字板式节点拓扑优化设计研究[J].河南理工大学学报（自然科学版）,2025,44(4):170-178,9.基金项目
国家自然科学基金资助项目(11872311) （11872311）
中国博士后科学基金资助项目(2022M721019,2023T160189) （2022M721019,2023T160189）
河南省自然科学基金资助项目(242300421673) （242300421673）
河南省高等学校重点科研项目(24A130001) （24A130001）
