| 汤朋山,杜文风,李少龙,顾金超,高博青.基于改进双向渐进结构优化法的钢节点拓扑优化研究[J].计算力学学报,2024,41(6):991~997 |
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| 基于改进双向渐进结构优化法的钢节点拓扑优化研究 |
| Research on topology optimization of steel joints based on improved bi-directional progressive structural optimization method |
| 修订日期：2023-08-18 |
| DOI：10.7511/jslx20230613002 |
| 中文关键词: 双向渐进结构优化法 钢节点 灵敏度滤波 有限元分析 增材制造 |
| 英文关键词:bi-directional progressive structure optimization method steel structural joint sensitivity filtering finite element analysis additive manufacturing |
| 基金项目:自然科学基金(52478166);河南省自然科学基金重点项目(232300421133)资助. |
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| 摘要点击次数: 52 |
| 全文下载次数: 33 |
| 中文摘要: |
| 为提升双向渐进结构优化法(BESO)优化钢结构节点时的计算效率,充分解决优化过程中存在的棋盘格和网格依赖现象,提出了一种改进双向渐进结构优化法SJ-BESO。该方法引入灵敏度滤波半径,对过滤半径范围内各个单元的灵敏度值进行加权处理,并通过设置灵敏度阈值段确定元素的保留、删除或添加,同时引入收敛参数确保结构计算趋优的稳定性。通过钢牛腿节点算例将SJ-BESO与BESO进行对比分析,发现SJ-BESO有效提升了计算迭代效率并克服了棋盘格和网格依赖现象。再通过分叉节点算例将SJ-BESO与变密度法(SIMP)比较,表明SJ-BESO的优化方案材料利用效率更高。SJ-BESO适用于钢节点的拓扑优化,具有良好的计算效率和优化效果。 |
| 英文摘要: |
| In order to improve the computational efficiency of bi-directional progressive structural optimization(BESO)of steel structural joints,and fully solve the problem of checkerboard and grid dependence in the optimization process,an improved bi-directional progressive structural optimization(SJ-BESO)method is proposed.In this method,the sensitivity filtering radius is introduced,and after the sensitivity values of each element within the filtering radius are weighted,the element retention,deletion or addition is determined by setting the sensitivity threshold segment.Meanwhile,the convergence parameter is established to ensure the stability of the structural gradual optimization calculation.A comparative analysis between SJ-BESO and BESO was conducted using a corbel joint example.The results indicate that SJ-BESO significantly enhances computational iteration efficiency and overcomes issues related to checkerboard patterns and grid dependency.Then,an example with a bifurcated node is used to compare SJ-BESO with the variable density method(SIMP),and the results show that the optimized scheme of SJ-BESO has a higher material utilization efficiency.SJ-BESO is suitable for topology optimization of steel joints,and has good computational efficiency and optimization performance. |
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