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在纽曼随机有限元法的基础上,提出了用格拉马-沙尔勒叶级数来拟合结构响应的概率密度函数,并通过数值积分计算结构的可靠度。算例表明,本文方法可利用较小的样本容量获得较高的计算精度,并具有较高的计算效率。
Based on the Newman stochastic finite element method, the probability density function of the structure response fitting with Grama-Chalree leaf series is proposed, and the reliability of the structure is calculated by numerical integration. The example shows that the proposed method can obtain higher accuracy with smaller sample size and higher computational efficiency.