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| 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 |
| 投稿时间：2024-11-06 修订日期：2024-12-13 |
| DOI： |
| 中文关键词: 子结构 拓扑优化 悬臂板 十字板式节点 |
| 英文关键词:substructure, topology, cantilever plate, cross plate joint |
| 基金项目:国家自然科学基金项目（52478166，12402140），河南省高校科技创新团队支持计划(22IRTSTHN019), 河南省自然科学基金重点项目(232300421133), 浙江省空间结构重点实验室开放课题(202106)资助. |
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| 摘要点击次数: 34 |
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| 中文摘要: |
| 基于传统子结构划分的拓扑优化方法有利于解决工程结构拓扑结果材料富集、布局不合理的问题，但其子结构划分过于依赖设计者的经验和尝试，耗时费力效率低。为此，本文提出一种基于拓扑骨架分布的子结构划分方法，可以快速获得布局合理的子结构划分。该方法首先通过拓扑优化计算得到设计区域的骨架分布，然后将骨架分布映射至原始工程结构指导子结构的划分，将可设计区域划分为骨架子结构与其它次要子结构，最后使骨架子结构与其它次要子结构在不同体积比约束下达到整体刚度最大。本方法应用于十字板式节点，得到了三种兼具性能佳与结构美的新构型，分别降低了34.81％-36.68％的结构自重、5.61％-8.52％的结构最大位移、26.95％-33.69％的结构最大等效应力，提升了十字板式节点的优化水平。本方法不仅可以直接快速进行合理子结构的划分，提升拓扑优化效率，而且可以得到更加优化的拓扑结果，提升拓扑优化质量。 |
| 英文摘要: |
| 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 results. 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 was applied to the cross joints to obtain three new configurations with good performance and structural beauty, which reduced 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 improved 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. |
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