李鹏,程文涛,杜艺博,丁瀛,占金青.改进的可移动变形组件拓扑优化方法[J].计算力学学报,2024,41(5):879~885 |
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改进的可移动变形组件拓扑优化方法 |
Improved topology optimization method for moving morphable components |
投稿时间:2023-03-15 修订日期:2023-05-28 |
DOI:10.7511/jslx20230315002 |
中文关键词: 拓扑优化 可移动变形组件法 有限元分析 灵敏度分析 俄罗斯轮盘赌 |
英文关键词:topology optimization moving morphable components finite element analysis sensitivity analysis Russian roulette algorithm |
基金项目:国家自然科学基金(52165016)资助项目. |
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中文摘要: |
针对经典可移动变形组件法的优化结果易受组件初始化影响的不足,设计了基于双循环机制的改进的MMC算法,内循环基于可移动变形组件法,实现快速寻优;外循环基于组件贡献率设计俄罗斯轮盘赌算法,然后选择、删除和替换部分组件,最终将重新构造的结构引入内循环再次寻优。MBB梁和短悬臂梁的优化算例表明,相比于经典MMC算法,改进的MMC方法虽然运算成本明显增加,却较好地克服了组件初始化对寻优结果的影响,并获得了更佳的优化效果。 |
英文摘要: |
In order to solve the problem that the optimization result of the classical moving morphable components (MMC) is easily affected by the component initialization,the improved MMC based on the double cycle mechanism is designed.The inner loop is based on the classical MMC to realize fast optimization.The outer loop implements the Russian roulette algorithm based on the component contribution rate,then selects,deletes and replaces some components,and finally introduces the reconstructed structure into the inner loop for further optimization.The optimization examples of an MBB beam and a short cantilever beam show that,compared with the classical MMC,the improved MMC can overcome the influence of component initialization on optimization results,and obtain better optimization results,although the operation cost is significantly increased. |
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