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目的:研究衰减函数的概率分布对结构可靠度的影响;在非完整衰减信息下,对结构的时变可靠度进行评估。创新点:1.假定衰减函数服从5种常见的概率分布,讨论可靠度分析结果的差异;2.当衰减函数的概率分布(或各概率分布的权重)未知时,提出平均可靠度的分析方法。方法:假定承载力是完全相关的随机过程,在其概率分布未知的情况下:(1)假定5种常见的概率分布,对结构可靠度进行分析和比较;(2)将时变可靠度的计算公式Taylor展开,转化为关于衰减函数一阶矩和二阶矩的函数,推导平均可靠度的计算方法(公式18)。结论:1.不同的衰减函数概率分布对结构可靠度的影响显著;2.利用本文提出的方法,在衰减函数概率的分布(或各概率分布的权重)未知时,可以得出结构可靠度的合理评估。
Objective: To study the influence of the probability distribution of the attenuation function on the structural reliability, and evaluate the time-varying reliability of the structure under the incomplete attenuation information. Innovations: 1. Assume that the attenuation function obeys five common probability distributions and discusses the differences of the reliability analysis results. 2. When the probability distribution (or the weight of each probability distribution) of the attenuation function is unknown, an analysis method of average reliability is proposed . Methods: Assuming that the bearing capacity is a completely correlated stochastic process, in the case of unknown probability distribution: (1) Assuming five common probability distributions, the structural reliability is analyzed and compared; (2) The time-dependent reliability The calculation formula Taylor expands and transforms into a function on the first and second moments of the attenuation function to derive the method of calculating the average reliability (Equation 18). The conclusions are as follows: 1. The influence of different attenuation function probability distributions on the structural reliability is significant.2. Using the method proposed in this paper, the reliability of the structure can be obtained when the probability distributions of the attenuation functions (or the weights of the probability distributions) are unknown Reasonable assessment.