轴压铝合金蜂窝圆筒整体稳定性研究

魏家睿; 吴琼; 吴伟; 李群智; 时红伟; 张虞

doi:10.13700/j.bh.1001-5965.2023.0135

轴压铝合金蜂窝圆筒整体稳定性研究

doi: 10.13700/j.bh.1001-5965.2023.0135

魏家睿^{1, 2, 3},
吴琼^{1, 2, ,},
吴伟⁴,
李群智⁵,
时红伟⁵,
张虞^{1, 2}

1.
北京航空航天大学虚拟现实技术与系统国家重点实验室，北京 100191
2.
北京航空航天大学江西研究院景德镇分院，景德镇 333000
3.
中国航天科工集团第九总体设计部，武汉 430040
4.
北京空天技术研究所，北京 100074
5.
北京空间飞行器总体设计部，北京 100094

基金项目: 国家自然科学基金(51875024)；民用航天技术预先研究项目(D020304)

详细信息

通讯作者:
E-mail：wuqiong@buaa.edu.cn

中图分类号: TH122
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出版历程
- 收稿日期: 2023-03-23
- 录用日期: 2023-07-07
- 网络出版日期: 2023-08-03
- 整期出版日期: 2025-03-27

Study on global stability of aluminum alloy honeycomb cylinder under axial compression

WEI Jiarui^{1, 2, 3},
WU Qiong^{1, 2
, ,},
WU Wei⁴,
LI Qunzhi⁵,
SHI Hongwei⁵,
ZHANG Yu^{1, 2}

1.
State Key Laboratory of Virtual Reality Technology and Systems，Beihang University，Beijing 100191，China
2.
Jingdezhen Branch of Jiangxi Research Institute of Beihang University，Jingdezhen 333000，China
3.
The 9th Overall Design Department of China Aerospace Science and Industry Corporation，Wuhan 430040，China
4.
Beijing Aerospace Technology Institute，Beijing 100074，China
5.
Beijing Institute of Spacecraft System Engineering，Beijing 100094，China

Funds: National Natural Science Foundation of China (51875024); Civil Space Technology Pre-Research Program (D020304)

More Information

Corresponding author: E-mail：wuqiong@buaa.edu.cn

摘要

摘要:
金属蜂窝圆筒结构常因轴压整体屈曲导致承载能力下降，对于其弹性屈曲问题目前已有大量研究，但在塑性屈曲问题方面的理论研究工作较少。为解决上述问题，基于蜂窝圆筒等效模型和Hamilton原理，推导了铝合金蜂窝圆筒承受轴压载荷作用时弹、塑性屈曲临界载荷的理论计算公式，并进行了轴压仿真分析和实验验证，利用理论公式讨论了蜂窝圆筒各尺寸参数对临界载荷的影响。结果表明：所提理论公式和仿真模型均能准确预测铝合金蜂窝圆筒的临界载荷，理论公式计算效率更高；圆筒质量变化±10%时，影响临界载荷的因素依次为面板厚度、圆筒半径、芯子厚度、圆筒高度；蜂窝圆筒的临界载荷与芯子厚度、面板厚度、圆筒半径近似呈线性正相关，与圆筒高度关系较弱。
- 蜂窝圆筒 /
- 整体稳定性 /
- 临界载荷 /
- 弹塑性 /
- Hamilton原理 /
- 有限元
Abstract:
Metal honeycomb cylinder structures frequently encounter a decrease in load-carrying capacity due to axial compression buckling. Extensive research has been conducted on their elastic buckling behavior. However, there are few theoretical studies on their plastic buckling behavior. To address this issue, a theoretical formula was derived for the elastic and plastic buckling critical load of the aluminum alloy honeycomb cylinder under axial compression, drawing upon the equivalent model of the honeycomb cylinder and the Hamilton principle. The simulation analysis and experimentations on the above problem were carried out. Finally, the influence of the honeycomb cylinder dimensional parameters on the critical load was discussed using the theoretical formula. The results show that both the theoretical formula and the simulation model can accurately predict the critical load of the aluminum alloy honeycomb cylinder. In comparison, the theoretical formula is calculated faster. When the cylinder mass changes within the range of ±10%, the influence degree of panel thickness, cylinder radius, core thickness and cylinder height on the critical load decreases successively. The honeycomb cylinder’s critical load exhibits a minor association with the cylinder height, but it exhibits an approximately linear positive correlation with the cylinder radius, core thickness, and panel thickness.
- honeycomb cylinder /
- global stability /
- critical load /
- elasto-plastic /
- Hamilton principle /
- finite element

HTML全文

图 1 蜂窝圆筒示意图

Figure 1. Schematic diagram of honeycomb cylinder

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图 2 蜂窝胞元排列方式

Figure 2. Honeycomb cell arrangement

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图 3 蜂窝单胞结构示意图

Figure 3. Schematic diagram of honeycomb single cell structure

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图 4 三明治夹芯等效法示意图

Figure 4. Schematic diagram of sandwich core equivalent method

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图 5 双线性硬化模型示意图

Figure 5. Schematic diagram of bilinear hardening model

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图 6 蜂窝圆筒轴压有限元分析模型

Figure 6. Finite element analysis model of honeycomb cylinder under axial compression

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图 7 蜂窝圆筒轴压实验现场

Figure 7. Honeycomb cylinder axial compression test site

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图 8 蜂窝圆筒轴压屈曲模式示意图

Figure 8. Schematic diagram of honeycomb cylinder buckling mode under axial compression

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图 9 蜂窝圆筒轴压实验载荷-位移曲线

Figure 9. Load-displacement curves of honeycomb cylindrical axial compression test

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图 10 蜂窝圆筒载荷-位移曲线汇总

Figure 10. Summary of honeycomb cylinder load-displacement curves

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图 11 蜂窝圆筒轴压临界载荷结果汇总

Figure 11. Summary of honeycomb cylinder axial compression critical load results

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图 12 几何参数变化对3种蜂窝圆筒临界载荷的影响

Figure 12. Influence of geometric parameters on critical loads of three kinds of honeycomb cylinders

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表 1 3种铝合金蜂窝圆筒的尺寸参数

Table 1. Dimensional parameters of three aluminum alloy honeycomb cylinders

圆筒编号	b/mm	d/mm	R/mm	H/mm	t/mm	l₀/mm
圆筒1	12.6	1.2	692.5	1100	0.2	6
圆筒2	22.6	1.2	687.5	1100	0.2	6
圆筒3	37.6	1.2	1140	1100	0.2	6

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表 2 面板和蜂窝芯材料的弹性参数

Table 2. Elastic parameters of panel and honeycomb core materials

材料名称	弹性模量/MPa	泊松比	密度/（kg·m⁻³）
6A02	63000	0.33	2700
3003	69000	0.33	2730

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表 3 蜂窝圆筒的蜂窝芯等效参数

Table 3. Equivalent parameters of honeycomb core of honeycomb cylinder

等效参数	圆筒1	圆筒2	圆筒3
E_ex/MPa	5.6926	5.5361	5.5350
E_eθ/MPa	5.8955	5.9062	5.9062
E_ez/MPa	3533.1	3526.6	3526.6
G_exθ /MPa	3.4896	3.4482	3.4479
G_exz/MPa	984.811	973.845	973.763
G_eθz/MPa	500.343	501.247	501.254
μ_exθ	0.997	0.997	0.997
μ_exz	5.32×10⁻⁴	5.18×10⁻⁴	5.18×10⁻⁴
μ_eθz	5.51×10⁻⁴	5.53×10⁻⁴	5.53×10⁻⁴
ρ_e/(kg·m⁻³)	139.31	138.67	138.66

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表 4 质量变化率由−10%～+10%时临界载荷的变化率

Table 4. Critical load change rate when mass change rate is from −10% to +10%

参数	临界载荷变化率/%			平均值/%
参数	圆筒1	圆筒2	圆筒3	平均值/%
芯子厚度	+16.7	+17.1	+9.88	+14.6
面板厚度	+29.8	+36.1	+46.6	+37.5
圆筒半径	+18.1	+16.1	+14.6	+16.3
圆筒高度	−0.06	−0.25	+1.12	+0.27

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表 5 蜂窝圆筒尺寸参数与临界载荷的相关系数

Table 5. Correlation coefficient between dimension parameters and critical load of honeycomb cylinder

参数	相关系数			平均值
参数	圆筒1	圆筒2	圆筒3	平均值
芯子厚度	0.999 9	0.999 0	0.998 6	0.999 2
面板厚度	0.999 9	0.999 9	0.999 9	0.999 9
圆筒半径	0.999 9	0.999 9	0.999 9	0.999 9
圆筒高度	−0.545 7	0.648 5	0.926 8	0.343 2

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