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随机结构动力可靠度估计算法的对比分析

, PP. 48-52

Keywords: 随机结构,动力可靠度,渐进展开,重要抽样,极值分布,泰勒展开,中心差分

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Abstract:

对比分析了随机结构动力可靠度计算的三种估计算法。渐进展开法是基于Laplace算法对概率积分进行渐进估计的,此法通过计算最大被积分式值对应点,并将其代入概率积分的渐进估计表达式求解失效概率。由于概率积分的主要贡献来自于最大被积分式值对应点的周围,因此本文的重要抽样法假定重要抽样函数的最大似然值等于最大被积分式值对应点值。极值分布―泰勒展开法首先通过结构随机参数的极值分布函数给出失效概率的表达式,随后利用泰勒展开法对失效概率进行估计,其中采用中心差分法对极值分布函数的梯度进行估算。最后应用三种算法和MonteCarlo法对受高斯白噪声激励作用的单自由度随机结构进行了计算,结果表明三种方法不但运算简便,而且对比MonteCarlo法计算效率有显著提高。

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