基于复合等效贝叶斯融合的小样本运载火箭试验设计

Q. Huangpeng, Xiaojun Duan, Wenwei Huang, Yinhui Zhang
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引用次数: 0

摘要

针对长征系列运载火箭研制成本高、可靠性试验实施难度大的问题,提出了一种基于复合等效贝叶斯融合的小样本可靠性采样方法。首先,为了避免大量的先验数据淹没小样本的现场数据,综合运用物理等效可信度和数据兼容性检验,对多源试验数据进行充分整合。然后,根据贝叶斯理论,在复杂的假设条件下,统计验证了符合正态分布的运载火箭融合数据的可靠性。最后,考虑实验成本和两类风险的约束,建立了求解最小样本量的非线性约束规划模型。
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Test Design of Small Sample Launch Vehicle Based on Composite Equivalency Bayesian Fusion
In view of the high development cost of the Long March series of launch vehicle and the difficulty of implementing reliability tests, a small sample reliability sampling method based on composite equivalency Bayesian fusion is proposed. First, in order to avoid large amounts of prior data submerging the field data with small sample, a comprehensive use of physical equivalency credibility and data compatibility test are used to fully integrate multi-source test data. Then, according to Bayesian theory, the reliability of the fusion data of the launch vehicle that obeys the normal distribution is statistically verified under the complex assumptions. Finally, considering the experimental cost and the constraints of the two types of risks, a nonlinear constraint programming model for solving the minimum sample size is established.
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