Reliability analysis of equipment for zero-failure of type-Ⅰ censoring test with replacement
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摘要:
针对航空电子设备有替换Ⅰ型截尾试验无失效的情形,提出了一种改进综合E-Bayesian方法用于可靠性参数的综合估计。该方法利用失效因子和自适应系数,并结合可靠性参数先验值及其经典E-Bayesian评估结果,引入失效数据,同时使用相对概率法构造失效权重模型。以航空电子设备平均寿命为目标,建立了平均寿命的改进综合E-Bayesian估计模型,并以某型变压整流器(TRU)为对象进行应用研究和方法比较分析。结果表明,提出的改进综合E-Bayesian方法具有更好的评估性能,并能够改善可靠性评定中可能出现的“冒进”问题。
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关键词:
- 航空电子设备 /
- 可靠性 /
- 综合E-Bayesian估计 /
- 有替换Ⅰ型截尾试验 /
- 无失效数据
Abstract:In this paper, an improved synthetic E-Bayesian method is proposed to estimate the reliability parameters of aviation electronic equipment for the zero-failure situation of type-Ⅰ censoring test with replacement. This method employs the failure factor and self-adaptive coefficient, which are combined with the priori value and classical E-Bayesian estimation result of the reliability parameters, to import the failure data, and then structures the corresponding failure weight model with the method of relative probability. Aimed at the mean life of the aviation electronic equipment, this paper builds the improved synthetic E-Bayesian estimation model and employs a certain type of transformer rectifier unit (TRU) as the object to make application research and method comparison analysis. The results show that the improved synthetic E-Bayesian method has better estimation performance and can ameliorate the "rash" problem that may emerge in reliability assessment.
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表 1 变压整流器无失效试验数据
Table 1. Zero-failure test data of TRU
i ti/h ni 1 58 1 2 134 1 3 204 2 4 262 1 5 324 2 6 368 2 表 2 变压整流器平均寿命的改进综合E-Bayesian估计
值 Table 2. Improved synthetic E-Bayesian estimation
for mean life of TRU 105h b/θ0 c=3 c=3.5 c=4 c=4.5 c=5 Δ 6.0 3.662 9 3.327 0 3.061 1 2.841 9 2.656 0 1.006 9 6.5 3.892 4 3.537 2 3.257 2 3.027 0 2.832 2 1.060 2 7.0 4.121 0 3.745 9 3.451 2 3.209 5 3.005 6 1.115 4 7.5 4.349 4 3.953 7 3.643 6 3.390 1 3.176 6 1.172 8 8.0 4.577 7 4.160 9 3.835 1 3.569 4 3.346 0 1.231 7 Δ 0.914 8 0.833 9 0.774 0 0.727 5 0.690 0 表 3 变压整流器平均寿命的E-Bayesian估计
值 Table 3. E-Bayesian estimation
for mean life of TRU 105h b/θ0 c=3 c=3.5 c=4 c=4.5 c=5 Δ 6.5 4.521 0 3.984 3 3.582 8 3.268 4 3.014 0 1.507 0 7.0 4.867 6 4.289 7 3.857 5 3.519 0 3.245 1 1.622 5 7.5 5.214 2 4.595 2 4.132 1 3.769 5 3.476 1 1.738 1 8.0 5.560 7 4.900 6 4.406 8 4.020 1 3. 707 2 1.853 5 Δ 1.386 2 1.221 7 1.098 6 1.002 2 0.924 2 -
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