| Citation: | MA Xiaobing, ZHANG Jianchun, ZHAO Yuet al. Hardened test method of structural reliability based on correlation analysis[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(6): 1080-1084. doi: 10.13700/j.bh.1001-5965.2016.0420(in Chinese)
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The traditional test verification of structural reliability is generally based on the independence assumption between loading stress and structural strength. Stating with the correlation analysis of stress and strength, we propose a hardened test method of structural reliability verification based on the stress-strength interference model with Copula correlation when loading and strength both follow the normal distribution. The method combines Copula functions with stress-strength interference model to achieve the transformation of the original reliability index and reliability index under the hardened condition, and the reliability is estimated by the traditional binomial distribution test under the condition of small sample. Compared with the independence assumption, the results show that the negative correlation between stress and strength leads to the increase of sample size and the sample size decreases with the decrease of negative correlation; the positive correlation leads to the decrease of sample size and the sample size decreases with the increase of positive correlation.
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