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螺栓连接加筋板的高效混合结构优化设计方法

夏甘霖 孟增 吴枝根

夏甘霖, 孟增, 吴枝根. 螺栓连接加筋板的高效混合结构优化设计方法[J]. 应用数学和力学, 2025, 46(9): 1108-1118. doi: 10.21656/1000-0887.450185
引用本文: 夏甘霖, 孟增, 吴枝根. 螺栓连接加筋板的高效混合结构优化设计方法[J]. 应用数学和力学, 2025, 46(9): 1108-1118. doi: 10.21656/1000-0887.450185
XIA Ganlin, MENG Zeng, WU Zhigen. An Efficient Hybrid Structural Optimization Design Method for Bolt-Connected Stiffened Panels[J]. Applied Mathematics and Mechanics, 2025, 46(9): 1108-1118. doi: 10.21656/1000-0887.450185
Citation: XIA Ganlin, MENG Zeng, WU Zhigen. An Efficient Hybrid Structural Optimization Design Method for Bolt-Connected Stiffened Panels[J]. Applied Mathematics and Mechanics, 2025, 46(9): 1108-1118. doi: 10.21656/1000-0887.450185

螺栓连接加筋板的高效混合结构优化设计方法

doi: 10.21656/1000-0887.450185
基金项目: 

国家自然科学基金(面上项目)(12372195;11572108)

详细信息
    作者简介:

    夏甘霖(2000—),男,硕士生(E-mail: 2022110536@mail.hfut.edu.cn);孟增(1987—),男,教授,博士,博士生导师(通讯作者. E-mail: mengz@hfut.edu.cn).

    通讯作者:

    孟增(1987—),男,教授,博士,博士生导师(通讯作者. E-mail: mengz@hfut.edu.cn).

  • 中图分类号: O343.2

An Efficient Hybrid Structural Optimization Design Method for Bolt-Connected Stiffened Panels

Funds: 

The National Science Foundation of China(12372195;11572108)

  • 摘要: 针对螺栓连接的加筋板屈曲性能优化建模复杂和计算量较大的问题,提出了一种基于Kriging代理模型和多点约束(multi-point constraint, MPC)近似模型的混合优化策略.首先,运用MPC连接建立近似加筋板模型进行有限元屈曲分析,代替试验设计中大量的高精度加筋板模型分析.然后,通过Kriging代理模型建立MPC参数的预测函数,并在优化迭代中更新代理模型样本点,保证近似模型的计算精度.最后,基于建立的MPC近似模型,对螺栓连接加筋板进行了轻量化设计和性能最优化设计.算例结果表明:该文提出的混合优化方法与传统优化方法相比,其计算效率提高了10倍左右.在轻量化设计中,使加筋板结构在保证屈曲承载力不变的情况下减重了26.18%.在性能最优化设计中,在质量无明显变化的情况下使极限屈曲承载力提高了23.67%.
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出版历程
  • 收稿日期:  2024-06-24
  • 修回日期:  2024-09-26
  • 网络出版日期:  2025-10-17

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