Neumann 随机有限元法计算涡轮叶片的可靠度

RELIABILITY ANALYSIS OF BLADE WITH NEUMANN SFEM

推导了具有随机性时Ｎｅｕｍａｎｎ随机有限元法的基本方程，用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。对涡轮叶片的可靠度分析表明，该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。

An extended Neumann Stochastic Finite Element Method(NSFEM)has been derived.Probability Density Function(PDF)of blade displacement and stress can be obtained by applying series fitting.Then the numerical integral method is used to compute the reliability of structure.The analysis of two numerical examples shows that the proposed approach is of good computational accuracy and efficiency with a small capacity for samples