考虑广义耦合的多应力加速寿命评估方法

doi:10.12305/j.issn.1001-506X.2023.10.40

Abstract

Abstract:

Due to the complex aviation operation environment, the test method that only considers the separate action of multi-stress ignores the interaction between stresses, and it is difficult to accurately obtain the life index of domestic avionics components, which makes the life deviation of the theoretical results large. Thus, a multi-stress accelerated life evaluation method considering generalized coupling is proposed. Firstly, a multi-stress generalized coupling acceleration model considering the fuzzy mapping relationship of failure mechanism under actual engineering conditions is established, and fuzzy correlation is introduced to select the best coupling term. Then, the multi-stress generalized coupling maximum likelihood estimation method of different experimental types is constructed, and the adaptive sine cosine algorithm is used to solve the problem of difficult multi-parameter solution. Finally, a three-stress acceleration test is carried out on a low-noise amplification module of an airborne electronic device to achieve life evaluation. The results show that considering the generalized coupling is closer to the actual working environment, compared with the traditional numerical calculation method, the error is controlled within 5%, which proves the fast convergence and accuracy of the proposed method.

Key words: avionics, accelerated testing, multi-parameter estimation, multi-stress coupling, adaptive algorithm

CLC Number:

Fan ZHANG, Runcao TIAN, Peng WANG, Lei DONG. Multi-stress accelerated life evaluation method considering generalized coupling[J]. Systems Engineering and Electronics, 2023, 45(10): 3350-3361.

Figures/Tables 18

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References 30

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数据类型	A	B	C	D
完全样本	$\sum\limits_{h=1}^q n_h$	n_h	$\sum\limits_{h=1}^q \sum\limits_{i=1}^{n_h} \ln t_{h i}$	$\sum\limits_{h=1}^q \sum\limits_{i=1}^{n_h} t_{h i}^\beta$
随机截尾	$\sum\limits_{h=1}^q r_h$	r_h	$\sum\limits_{h=1}^q \sum\limits_{i=1}^{r_h} \ln t_{h i}$	$\sum\limits_{h=1}^q\left(\sum\limits_{i=1}^{r_h} t_{h i}^\beta+\sum\limits_{j=1}^{c_h} t_{h j}^\beta\right)$
定时截尾	$\sum\limits_{h=1}^q r_h$	r_h	$\sum\limits_{h=1}^q \sum\limits_{i=1}^{r_h} \ln t_{h i}$	$\sum\limits_{h=1}^q\left(\sum\limits_{i=1}^{r_h} t_{h i}^\beta+\left(n_h-r_h\right) t_{h 0}^\beta\right)$
定数截尾	$\sum\limits_{h=1}^q r_h$	r_h	$\sum\limits_{h=1}^q \sum\limits_{i=1}^{r_h} \ln t_{h i}$	$\sum\limits_{h=1}^q\left(\sum\limits_{i=1}^{r_h} t_{h i}^\beta+\left(n_h-r_h\right) t_{h r}^\beta\right)$

应力	应力敏感度
温度	0.319 2
湿度	0.225 8
电应力	0.384 4
振动	0.223 5
其他	0.100 5

加速应力项	系数
S₁	α₁
S₂	α₂
S₃	α₃
φ₁₂	α₄
φ₁₃	α₅
φ₂₃	0
φ₁₂₃	0

φ₁₂表达式	ε	φ₁₃表达式	ε
$S_1^2 \sqrt{S_2}$	0.838 7	S₁exp(S₃)	0.995 2
$\sqrt{S_2} \exp \left(S_1\right)$	0.836 1	$\sqrt{S_3} \exp \left(S_1\right)$	0.992 9
S₁exp(S₂)	0.820 7	S₁²S₃²	0.989 6
S₁²S₂²	0.814 0	exp(S₁)exp(S₃)	0.988 7
S₁S₂	0.805 3	S₁S₃	0.978 0

分布	AIC	BIC
威布尔	661.673 0	680.185 4
对数Logistic	682.314 8	700.827 2
对数正态	691.632 6	710.145 0
Logistic	747.858 1	766.370 5
正态	905.707 1	924.219 5
最小极值	918.994 2	934.975 8
最大极值	929.897 0	948.409 5
Frechet	957.679 5	976.191 9
指数	981.523 99	1 000.036 4

Multi-stress accelerated life evaluation method considering generalized coupling

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试验应力组合	应力水平和组合			件数
试验应力组合	温度/℃	湿度/%	电流/mA	件数
1	80	80	20	20
2	80	80	60	20
3	55	80	40	20
4	55	95	20	20
5	70	95	60	20
6	70	95	40	20

试验序号	平均值	标准偏差	显著性水平
1	24.214 6	5.369 9	0.980 5
2	2.665 6	0.555 7	0.863 0
3	49.896 7	9.110 4	0.704 0
4	97.884 9	28.851 9	0.789 2
5	4.951 6	1.037 9	0.377 0
6	10.973 1	2.918 3	0.740 0

模型	待求参数	SCA	牛顿迭代法	MSE/%
最优广义耦合	lnα₀	8.031 5	8.081 6	4.361 7
	α₁	1.117 6	1.119 1	4.908 0
	α₂	0.759 4	0.828 2	1.905 2
	α₃	1.350 7	1.232 7	4.406 5
	α₄	0.966 8	0.954 5	3.428 1
	α₅	1.130 6	1.177 8	2.429 0
传统简单耦合	lnα₀	8.416 6	8.443 8	3.025 6
	α₁	2.116 4	2.297 3	3.016 6
	α₂	1.615 5	1.677 8	0.943 5
	α₃	0.288 2	0.276 7	0.740 2
	α₄	-0.605 1	-0.606 6	0.401 2
	α₅	3.984 1	3.992 1	2.701 6
备选广义耦合	lnα₀	7.945 9	7.882 4	2.528 2
	α₁	3.824 1	3.862 8	2.728 2
	α₂	0.085 7	0.086 7	2.214 2
	α₃	3.276 0	3.171 5	2.291 7
	α₄	-0.405 1	-0.429 4	2.587 7
	α₅	0.274 1	0.277 9	1.062 2
应力不耦合	lnα₀	10.117 8	10.121 3	2.633 4
	α₁	4.517 8	4.526 2	0.856 0
	α₂	1.635 3	1.580 4	2.415 7
	α₃	2.788 0	2.848 7	1.091 8
	α₄	-	-	-
	α₅	-	-	-

应力组合	参数	估计值	标准误差	置信区间(95%)
1	η₁	26.470 8	1.157 1	(24.364 9, 28.997 5)
2	η₂	2.865 8	0.124 4	(2.640 3, 3.138 9)
3	η₃	52.751 5	2.284 2	(48.639 0, 57.794 6)
4	η₄	110.386 7	4.826 1	(101.597 9, 120.923 7)
5	η₅	5.295 3	0.229 5	(4.881 4, 5.801 3)
6	η₆	12.132 1	0.528 2	(11.174 1, 13.290 2)
整体	β	5.185 8	0.376 4	(4.475 1, 5.950 3)

三应力模型	SCA	牛顿迭代法	平均相对误差
最优广义耦合	3 076.42	3 234.27	-0.014 0
备选广义耦合	2 823.86	2 650.10	-0.144 7
传统应力耦合	4 521.51	4 646.02	0.432 4
不考虑应力耦合	24 780.65	24 867.15	6.757 5

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