计算力学学报2026，Vol.43Issue(1)：116-123,8.DOI:10.7511/jslx20241106001
一种基于拓扑骨架分布的子结构划分方法
A new substructure partitioning method based on topology skeleton distribution
摘要
Abstract
The topology optimization method based on traditional substructure partitioning is beneficial for solving the problems of material enrichment and unreasonable layout in engineering structure topology.However,its substructure partitioning relies too much on the experience and attempts of designers,which is time-consuming,labor-intensive,and inefficient.For this reason,this paper proposes a substructure division method based on topological skeleton distribution,which can quickly obtain a well-laid out substructure division.This method first obtains the skeleton distribution of the design optimization area through topology optimization calculation,and then maps the skeleton distribution to the original engineering structure to guide the division of substructures.The designable area is divided into a skeleton structure and other secondary substructures.Finally,the skeleton structure and its other secondary substructures achieve maximum overall stiffness under different volume ratio constraints.The method is applied to the cross joints to obtain three new configurations with good performance and structural beauty,which reduces the deadweight by 34.81％～36.68％,the maximum displacement by 5.61％～8.52％,and the maximum equivalent force by 26.95％～33.69％,respectively,and improves the optimization of the cross joints.The research results show that this method can not only directly and quickly partition reasonable substructures,improve topology optimization efficiency,but also obtain more optimized topology results and improve the quality of topology optimization.关键词
子结构/拓扑优化/悬臂板/十字板式节点Key words
substructure/topology/cantilever plate/cross plate joint分类
数理科学引用本文复制引用
马秉新,杜文风,王超,高博青,董石麟..一种基于拓扑骨架分布的子结构划分方法[J].计算力学学报,2026,43(1):116-123,8.基金项目
国家自然科学基金(52478166 （）
12402140) （）
河南省高校科技创新团队支持计划(22IRTSTHN019) （22IRTSTHN019）
河南省自然科学基金重点项目(232300421133) （232300421133）
浙江省空间结构重点实验室开放课题(202106)资助项目. （202106）
