摘要
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。
The usual Neumann Stochastic Finite Element Method (NSFEM ) only considers material property as stochastic factor. We include, in addition, loeding and geometric shape of structure as stochastic factors.We tate full edvantage of the capability of NSFEM to obtain information about higher order moments. With such ichrmation already obtained, Probability Density Function (PDF) of structure response, such as stresses and disptacements, needs not to be assumed as is usually done but can be determined through series fitting. Then numerical integration is used to compute the reliability of structure. We take two numerical examples: (1) a rectangutar plate (Fig. 3) 3 (2) a turbine blade (Fig. 6). Computed results indicate that our improved approach is feasible.
出处
《西北工业大学学报》
EI
CAS
CSCD
北大核心
1998年第4期599-603,共5页
Journal of Northwestern Polytechnical University
关键词
概率密度函数
纽曼随机有限元
结构可靠性
计算
reliability
Probability Density Function (PDF)
series fit
Neumann Stochastic Finite Elemet Method (NSFEM)
