梁式管接头结构的稳健性优化设计

刘勇; 任新江; 闫方超

doi:10.13224/j.cnki.jasp.20220868

梁式管接头结构的稳健性优化设计

doi: 10.13224/j.cnki.jasp.20220868

刘勇^1,,
任新江^1,*, ,,
闫方超²

1.
中国民航大学航空工程学院，天津 300300
2.
天津布尔科技有限公司，天津 300392

基金项目: 天津市教委科研计划项目（2020KJ017）

详细信息

作者简介:
刘勇（1989-），男，讲师，博士，主要从事航空发动机结构强度振动与可靠性研究。E-mail：liuyongyb@126.com

通讯作者:
任新江（1996-），男，硕士生，主要从事航空发动机结构强度与优化设计研究。E-mail：rxjzgmh66@163.com

中图分类号: V232.7
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- 被引次数: 0
出版历程
- 收稿日期: 2022-11-14
- 网络出版日期: 2024-04-01

Structural robust optimization design of beam seal

LIU Yong^1
,,
REN Xinjiang^{1,*
, ,},
YAN Fangchao²

1.
College of Aeronautical Engineering，Civil Aviation University of China，Tianjin 300300，China
2.
Tianjin Bool Technology Company Limited，Tianjin 300392，China

摘要

摘要:
为了提高梁式管接头的密封性能，以梁式管接头的结构参数为设计变量，对其进行稳健性优化设计。首先建立了带有椭圆弧凹槽的梁式管接头的有限元模型；其次分别以密封接触表面两道密封的最大接触压力和接触面宽为密封性能的定量指标，建立2阶响应面模型，利用遗传算法对响应面模型进行多目标优化求解；最后在多目标优化模型上增加表征目标函数稳健性的灵敏度附加项，求解得到了梁式管接头稳健的设计参数组合，并通过有限元数值模拟验证了稳健性优化结果的有效性。结果表明：当椭圆长半轴a为1.156 mm、椭圆短半轴b为0.315 mm、第1道密封名义宽度c为0.429 mm时，梁式管接头的密封稳健性更好，稳健性设计达到预期目标。
- 梁式管接头 /
- 响应面模型 /
- 遗传算法 /
- 多目标优化 /
- 稳健性设计
Abstract:
In order to improve the sealing performance of the beam seal, the structural parameters of the beam seal were used as design variables, and the robust optimization design was carried out. A finite element model of the beam seal with elliptical arc groove was established. Taking the maximum contact pressure and contact surface width of these two seals on the sealing contact surface as quantitative indicators of sealing performance, second-order response surface models were established, and the response surface models were solved by multi-objective optimization using genetic algorithm. The additional sensitivity term representing the robustness of the objective function was added to the multi-objective optimization model, and the robust design parameters combination of the beam seal was obtained. The effectiveness of the robust optimization results was verified by the finite element’s numerical simulation. The results showed that when the elliptic semi-major axis was 1.156 mm, the elliptic semi-minor axis was 0.315 mm, and the nominal width of the first seal was 0.429 mm, the sealing robustness of the beam seal was better, and the robust design achieved the expected goal.
- beam seal /
- response surface model /
- genetic algorithm /
- multi-objective optimization /
- robust design

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图 1 阴接头结构图

Figure 1. Female connector structure

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图 2 梁式管接头结构剖面图

Figure 2. Sectional view of beam seal structure

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图 3 梁式管接头结构参数示意图^[4]

Figure 3. Schematic diagram of structural parameters of beam seal^[4]

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图 4 梁式管接头有限元网格模型

Figure 4. Finite element mesh model of beam seal

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图 5 网格无关性验证

Figure 5. Grid independence verification

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图 6 第1道密封接触面宽对比

Figure 6. The first sealing contact surface width comparison

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图 7 第2道密封接触面宽对比

Figure 7. The second sealing contact surface width comparison

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图 8 接触压力云图

Figure 8. Contact pressure nephogram

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图 9 优化计算的适应度值

Figure 9. Fitness value of the optimization calculation

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图 10 多目标优化计算的适应度值

Figure 10. Fitness value of multi-objective optimization calculation

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图 11 稳健性优化计算的适应度值

Figure 11. Fitness value of the robust optimization calculation

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表 1 梁式管接头结构参数取值

Table 1. Value of the structure parameters of beam seal

参数	数值
$ {{d}} $/mm	3.19
$ \alpha $/（°）	8.5
$ l $/mm	1.37
$ p $/mm	0.1
$ a $/mm	1.15
$ b $/mm	0.4
$ c $/mm	0.27
$ h $/mm	0.6
$ \theta $/（°）	11
$ e $/mm	1.8
$ \delta $/mm	1.2
$ \beta $/（°）	126.5
$ \gamma $/（°）	135
$ R_1 $/mm	0.3
$ R_2 $/mm	0.1

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表 2 正交试验结果

Table 2. Orthogonal experimental results

试验编号	${{a}}$（或$ x_{1} $）/mm	$ b $（或$ x_{2} $）/mm	$ c $（或$ x_{3} $）/mm	接触压力 $p_1$/MPa	接触面宽 $ H_{1} $/mm	接触压力 $p_2$/MPa	接触面宽 $ {H}_{2} $/mm
1	1.05	0.26	0.06	1 732.37	0.06	1 022.61	0.40
2	1.05	0.40	0.27	1 169.33	0.12	998.75	0.35
3	1.05	0.54	0.48	1 164.99	0.26	1 209.58	0.34
4	1.15	0.26	0.27	1 072.24	0.14	962.93	0.31
5	1.15	0.40	0.48	950.89	0.17	1 043.82	0.26
6	1.15	0.54	0.06	1 525.31	0.05	1 232.99	0.24
7	1.25	0.26	0.48	1 017.36	0.21	904.06	0.22
8	1.25	0.40	0.06	1 726.80	0.06	908.15	0.16
9	1.25	0.54	0.27	1 208.46	0.18	1 129.36	0.14

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表 3 方差分析（第1道密封最大接触压力）

Table 3. Analysis of variance （Maximum contact pressure of the first seal）

来源	波动平方和	自由度	方差	F值	F（0.01）
拟合	704 018.324	6	352 009.163	62.706	12.1
残差	11 227.364	2	5 613.682
总和	715 245.688	8

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表 4 方差分析（第2道密封最大接触压力）

Table 4. Analysis of variance （Maximum contact pressure of the second seal）

来源	波动平方和	自由度	方差	F值	F（0.01）
拟合	115 296.049	6	57 648.025	52.157	12.1
残差	2 210.567	2	1 105.283
总和	117 506.616	8

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表 5 方差分析（第1道密封面宽）

Table 5. Analysis of variance （The first sealing surface width）

来源	波动平方和	自由度	方差	F值	F（0.01）
拟合	0.042	6	0.007	42	12.1
残差	0.001	2	0.0005
总和	0.043	8

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表 6 方差分析（第2道密封面宽）

Table 6. Analysis of variance （Second sealing surface width）

来源	波动平方和	自由度	方差	F值	F（0.01）
拟合	0.062	6	0.010	3 100	12.1
残差	0.00002	2	0.00001
总和	0.06202	8

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表 7 结果比较

Table 7. Comparison results

来源	$ a $（或$ x_{1} $）/mm	$ b $（或$ x_{2} $）/mm	$ c $（或$ x_{3} $）/mm	接触压力/MPa		接触面宽/mm
来源	$ a $（或$ x_{1} $）/mm	$ b $（或$ x_{2} $）/mm	$ c $（或$ x_{3} $）/mm	$p_1$	$p_2$	$ H_{1} $	$ {H}_{2} $
初始尺寸	1.150	0.40	0.27	1 159.36	1 018.52	0.08	0.25
多目标优化	1.050	0.54	0.48	1 128.95	1 228.49	0.25	0.34

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表 8 优化结果比较

Table 8. Comparison of optimization results

来源	$ a $（或$ x_{1} $）/mm	$ b $（或$ x_{2} $）/mm	$ c $（或$ x_{s} $）/mm	接触压力/MPa		接触面宽/mm
来源	$ a $（或$ x_{1} $）/mm	$ b $（或$ x_{2} $）/mm	$ c $（或$ x_{s} $）/mm	$p_1$	$p_2$	$ H_{1} $	$ {H}_{2} $
初始尺寸	1.150	0.400	0.270	1 159.36	1 018.52	0.08	0.25
多目标优化	1.050	0.540	0.480	1 128.95	1 228.49	0.25	0.34
稳健性优化	1.156	0.315	0.429	1 020.56	977.01	0.16	0.28

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表 9 灵敏度附加项比较

Table 9. Comparison of sensitivity item

来源	$ a $（或$ x_{1} $）/mm	$ b $（或$ x_{2} $）/mm	$ c $（或$ x_{s} $）/mm	接触压力/MPa		接触面宽/mm
来源	$ a $（或$ x_{1} $）/mm	$ b $（或$ x_{2} $）/mm	$ c $（或$ x_{s} $）/mm	$p_1$	$p_2$	$ H_{1} $	$ {H}_{2} $
初始尺寸	1.150	0.400	0.270	19.544	26.427	0.005	0.036
多目标优化	1.050	0.540	0.480	1.121	54.910	0.030	0.039
稳健性优化	1.156	0.315	0.429	0.737	20.968	0.007	0.037

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