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针对传统结构可靠性试验的验证多是基于载荷应力和结构强度相互独立的假设问题,从应力和强度数据的相关性分析与度量出发,在二者均为正态随机变量的前提下,建立了一种基于Copula函数相关应力-强度干涉模型的结构可靠性加严试验验证方案设计方法。该方法结合Copula函数和应力-强度干涉模型实现相关条件下原可靠性指标与加严条件下可靠性指标的转化,适用于小样本情况下基于传统成败型试验方法评估其可靠性。研究结果表明:相比独立假设,应力和强度呈负相关时,会增加试验样本量且样本量随负相关程度减弱而减少;呈正相关时,会减少试验样本量且样本量随正相关程度增强而减少。
In order to verify the reliability of traditional structural reliability test, the assumption of load stress and structural strength are mostly independent. Based on the analysis and measurement of the correlation between stress and strength data and the assumption that both are normal random variables, A Method for Designing Test Scheme of Structural Reliability Based on Copula Function - Related Stress and Intensity Model. The method combines the Copula function and the stress-intensity interference model to transform the reliability index under the relevant conditions and the reliability index under the severe condition, and is suitable for evaluating the reliability based on the traditional test of success or failure in the case of small samples. The results show that: compared with the independent assumption, the negative correlation between stress and strength will increase the sample size and the sample size decreases with the decrease of the negative correlation; when the correlation is positive, the sample size will be reduced and the sample size increases with the positive correlation And reduce.