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

摘要/Abstract

摘要：

由于航空运行环境复杂, 仅考虑多应力单独作用的试验方法忽略了应力间的相互影响, 难以准确获取国产航空电子零部件的寿命指标, 使得理论结果寿命偏差较大。对此, 提出一种考虑广义耦合的多应力加速寿命评估方法。首先, 建立考虑实际工程条件下基于失效机理模糊映射关系的多应力广义耦合加速模型, 并引入模糊相关性选择最佳耦合项。然后, 构建不同试验类型的多应力广义耦合极大似然估计方法, 采用自适应正弦余弦算法解决多参数求解困难的问题。最后, 以某机载电子设备低噪声放大模块为对象进行三应力加速试验, 实现寿命评估。结果表明, 考虑广义耦合更贴近实际工作环境, 与传统数值计算方法相比, 误差控制在5%以内, 证明了所提方法的快速收敛性和准确性。

关键词: 航空电子设备, 加速试验, 多参数估计, 多应力耦合, 自适应算法

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

中图分类号:

张帆, 田润操, 王鹏, 董磊. 考虑广义耦合的多应力加速寿命评估方法[J]. 系统工程与电子技术, 2023, 45(10): 3350-3361.

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.

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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