新型扭簧电连接器的确信可靠性正向设计优化

康锐; 刘浩然; 张清源; 余丽; 翟国富

doi:10.13700/j.bh.1001-5965.2022.0323

新型扭簧电连接器的确信可靠性正向设计优化

doi: 10.13700/j.bh.1001-5965.2022.0323

康锐^{1, 2},
刘浩然^{1, 2},
张清源^{2, 3, ,},
余丽^{1, 2},
翟国富⁴

1.
北京航空航天大学可靠性与系统工程学院，北京 100083
2.
可靠性与环境工程技术重点实验室，北京 100083
3.
北京航空航天大学航空科学与工程学院，北京 100083
4.
哈尔滨工业大学电气工程及自动化学院，哈尔滨 150001

基金项目:

国家自然科学基金 62073009

可靠性与环境工程技术重点实验室基金 6142004210401

详细信息

通讯作者:
张清源, E-mail: zhangqingyuan@buaa.edu.cn

中图分类号: TB114.3
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- 被引次数: 0
出版历程
- 收稿日期: 2022-05-06
- 录用日期: 2022-05-27
- 网络出版日期: 2022-06-14

Function oriented belief reliability design and optimization of new torsion spring electrical connectors

KANG Rui^{1, 2},
LIU Haoran^{1, 2},
ZHANG Qingyuan^{2, 3
, ,},
YU Li^{1, 2},
ZHAI Guofu⁴

1.
School of Reliability and Systems Engineering, Beihang University, Beijing 100083, China
2.
Science & Technology on Reliability & Environmental Engineering Laboratory, Beijing 100083, China
3.
School of Aeronautic Science and Engineering, Beihang University, Beijing 100083, China
4.
School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin 150001, China

Funds:

National Natural Science Foundation of China 62073009

Fund for Science & Technology on Reliability & Environmental Engineering Laboratory 6142004210401

More Information

Corresponding author: ZHANG Qingyuan, E-mail: zhangqingyuan@buaa.edu.cn

摘要

摘要:
新产品正向设计需综合考虑新结构工艺、多设计变量、复杂工作环境的影响，并合理量化不确定性影响，评估可靠性水平，从而在源头上确保高可靠性。基于确信可靠性理论，研究了基于性能裕量的确信可靠性正向设计优化方法。提出了面向新型扭簧电连接器研发的确信可靠性正向设计优化基本流程，包括设计变量初值优选、性能裕量建模、不确定性量化和确信可靠性分析与优化4部分。以某新型扭簧电连接器的正向设计为例，基于正交实验、响应面建模和模拟退火启发式优化等方法实现了多维离散-连续变量及其不确定性作用下的优化设计。
- 确信可靠性 /
- 性能裕量 /
- 正向设计优化 /
- 实验设计 /
- 多维离散-连续变量
Abstract:
To evaluate reliability of new products, function-oriented design should comprehensively consider the influence of new structure and technology, multiple design variables, and complex working environments, and reasonably quantify uncertainty effects. This will ensure high reliability from the original design. Based on the belief reliability theory, this study investigates a performance margin-based and function-oriented method for belief reliability design and optimization. The basic procedure of the function-oriented reliability design is proposed for the development of new torsion spring electrical connectors, which includes four steps, i.e., initial value selection of design variables, performance margin modeling, uncertainty quantification, and reliability analysis and optimization. This procedure is exemplified in the design and development of a new type of torsion spring electrical connector. The optimal design of multidimensional discrete-continuous variables under the influence of their uncertainties is realized based on orthogonal experiments, response surface modeling, and simulated annealing heuristic optimization.
- belief reliability /
- performance margin /
- function oriented design and optimization /
- design of experiment /
- multidimensional discrete-continuous variables

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图 1 确信可靠性正向设计优化流程

Figure 1. Process of function oriented belief reliability design and optimization

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图 2 结构参数

Figure 2. Structural parameters

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图 3 效应分析结果

Figure 3. Results of effect analysis

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图 4 优化前后温升分布对比

Figure 4. Comparison of distributions of temperature rise before and after optimization

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图 5 优化前后裕量分布对比

Figure 5. Comparison of margin distribution before and after optimization

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表 1 内因变量分析

Table 1. Analysis of endogenous variables

序号	影响因素	变量类型	水平数	水平
1	加工工艺	D	2	工艺A、工艺B
2	粗糙度Ra	D	3	0.8、1.6、3.2
3	镀层材料	D	3	金、银、镍
4	插针材料	D	3	T2紫铜、碲铜、H62
5	孔套材料	D	3	T2紫铜、碲铜、H62
6	扭簧材料	D	3	C17410、C17510、QBe2.0
7	扭簧材料厚度δ	D	2	0.2 mm、0.25 mm
8	扭转角θ	C	3	45°、50°、55°
9	格栅间距s	C	3	0.6 mm、0.7 mm、0.8 mm
10	插针外径d_p	C	3	3.57 mm、3.60 mm、3.63 mm
11	扭簧基圆直径d_s	C	3	3.75 mm、3.80 mm、3.85 mm
12	孔套内径d_h	C	3	2δ+{3.75, 3.80, 3.85} mm
13	格栅长度l	C	3	7.25 mm、9.25 mm、11.25 mm

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表 2 确定最优设计变量初值

Table 2. Determination of optimal initial values

序号	内因变量	数值特征	初步优选水平	是否变更	水平变更
1	加工工艺	D	工艺A	√	工艺B
2	粗糙度Ra	D	0.8
3	镀层材料	D	金
4	插针材料	D	T2
5	孔套材料	D	碲铜
6	扭簧材料	D	C17410
7	扭簧材料厚度δ	D	0.2 mm
8	扭转角θ	C	55°	√	65 mm
9	格栅间距s	C	0.6 mm
10	插针外径d_p	C	3.63 mm	√	3.57 mm
11	扭簧基圆直径d_s	C	3.75 mm
12	孔套内径d_h	C	2δ+3.75 mm	√	4.2 mm
13	格栅长度l	C	7.25 mm

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表 3 响应面采样点

Table 3. Sampling points of response surface

变量	采样边界
变量	-1	1
扭转角θ/(°)	55	75
格栅间距s/mm	0.5	0.9
插针外径d_p/mm	3.57	3.60
扭簧基圆直径d_s/mm	3.75	3.80
孔套内径d_h/mm	4.2	4.25
格栅长度l/mm	5.25	9.25
电流I_i²/A²	1 600	4 900
环境温度T_e/℃	-40	150

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表 4 随机变量的分布

Table 4. Distribution of random variables

变量	分布	均值μ	标准差σ
随机扰动ε	Φ_ε	0	5.35℃
扭簧基圆直径d_s	Φ_{d_s}	μ_{d_s}	0.001 mm
扭转角θ	Φ_θ	μ_θ	4°
孔套内径d_h	Φ_{d_p}	μ_{d_p}	0.01 mm
格栅间距s	Φ_s	μ_s	0.01 mm
电流I_i	Φ_I	μ_I	0.05μ_I/3 A
环境温度T_e	Φ_{T_e}	μ_{T_e}	5/3℃
温升阈值ΔT_th	Φ_{ΔT_th}	E[ΔT_th(I, T_e)]

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表 5 确信可靠度优化结果

Table 5. Results of belief reliability optimization

变量	取值范围	正向设计优化
变量	取值范围	初值X₀	优化值X_opt
扭簧基圆直径d_s/mm	[3.75, 3.80]	3.75	3.773
扭转角θ/(°)	[55,75]	65	73.87
孔套内径d_h/mm	[4.20, 4.25]	4.2	4.202
格栅间距s/mm	[0.5, 0.9]	0.6	0.5
确信可靠度理论值R		0.978 5	0.994 7

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