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

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

合肥工业大学土木与水利工程学院，合肥 230009

（我刊青年编委孟增来稿）

基金项目:

国家自然科学基金(面上项目) 12372195

国家自然科学基金(面上项目) 11572108

详细信息

作者简介:
夏甘霖(2000—)，男，硕士生(E-mail: 2022110536@mail.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
计量
- 文章访问数: 48
- HTML全文浏览量: 15
- PDF下载量: 3
- 被引次数: 0
出版历程
- 收稿日期: 2024-06-24
- 修回日期: 2024-09-26
- 刊出日期: 2025-09-01

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

College of Civil Engineering, Hefei University of Technology, Hefei 230009, P.R.China

(Contributed by MENG Zeng, M.AMM Youth Editorial Board)

摘要

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%.
- 加筋板结构 /
- 屈曲分析 /
- 代理模型 /
- 结构优化设计
Abstract:
To address the modeling complexity and large computational load in optimizing the buckling performance of bolted stiffened panels, a hybrid optimization strategy based on the Kriging surrogate model and the multi-point constraint (MPC) approximation model was proposed. Firstly, the MPC connection was utilized to establish an approximate stiffened panel model for the finite element buckling analysis, to replace the analysis of many high-precision stiffened panel models in the experimental design. Then, a prediction function for MPC parameters was built with the Kriging surrogate model, and the sample points of the surrogate model were updated during optimization iterations to ensure the computational accuracy of the approximation model. Finally, based on the established MPC approximation model, the lightweight design and the performance optimization design of bolted stiffened panels were conducted. The numerical results demonstrate that, the proposed hybrid optimization method improves the computational efficiency by approximate 10 times compared with traditional optimization methods. In the lightweight design, the weight of the stiffened panel structure reduces by 26.18% while maintaining the same buckling capacity. In the performance optimization design, the ultimate buckling capacity increases by 23.67% without significant change in the structural mass.
- stiffened panel /
- buckling analysis /
- surrogate model /
- structural optimization design
edited-by

edited-by
注释:

1) （我刊青年编委孟增来稿）

HTML全文

图 1 螺栓连接加筋板模型图

Figure 1. The model for the bolted stiffened panel

下载: 全尺寸图片幻灯片

图 2 混合优化方法流程图

Figure 2. The flowchart for the hybrid optimization method

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图 3 MPC连接加筋板模型图

Figure 3. The model for the MPC stiffened panel

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图 4 MSE迭代历史

Figure 4. The iteration history of MSE

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图 5 MPC模型和螺栓模型计算结果对比

Figure 5. Comparison of calculation results between the MPC model and the bolted model

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图 6 轻量化设计迭代历史

Figure 6. Iteration history of the lightweight design

下载: 全尺寸图片幻灯片

图 7 轻量化设计加筋板屈曲分析图

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 7. Buckling analysis of stiffened panels in the lightweight design

下载: 全尺寸图片幻灯片

图 8 屈曲性能最优化设计迭代历史

Figure 8. The iteration history of the maximum buckling performance design

下载: 全尺寸图片幻灯片

图 9 屈曲性能最优化设计加筋板屈曲分析图

Figure 9. Buckling analysis of stiffened panels in maximum buckling performance design

下载: 全尺寸图片幻灯片

表 1 设计变量上下边界

Table 1. Lower and upper bounds of design variables

	L/mm	H/mm	D/mm	h/mm	d₁/mm	d₂/mm	d₃/mm
initial value	600	10	200	10	20	40	20
lower bound	200	0.5	100	0.5	10	10	10
upper bound	1 500	20	500	20	50	50	50

下载: 导出CSV

表 2 轻量化设计优化结果

Table 2. The optimization results of the lightweight design

	initial design	traditional method	hybrid method
L/mm	600	495.0	495.1
H/mm	10	9.8	9.5
D/mm	200	187.8	188.1
h/mm	10	15.9	15.5
d₁/mm	20	22.6	22.7
d₂/mm	40	45.1	45.1
d₃/mm	20	10.4	10.8
W/kg	4.67	3.45	3.45
P_MPC/MPa	155.41	-	153.64
P_bolt/MPa	156.74	155.45	155.21
δ_RE/%	0.85	-	1.02
iterative step	-	80	81
CPU time/s	-	64 980	8 676

下载: 导出CSV

表 3 屈曲性能最大化设计优化结果

Table 3. The optimization results of the maximum buckling performance design

	initial design	traditional method	hybrid method
L/mm	600	580.4	585.1
H/mm	10	11.5	11.1
D/mm	200	181.5	185.5
h/mm	10	13.2	14.8
d₁/mm	20	22.1	23.7
d₂/mm	40	12.5	13.8
d₃/mm	20	25.1	25.1
W/kg	4.67	4.71	4.70
P_MPC/MPa	155.41	-	193.85
P_bolt/MPa	156.74	194.17	195.82
δ_RE/%	0.85	-	1.01
iterative step	-	46	46
CPU time/s	-	37 310	4 909

下载: 导出CSV

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