A STOCHASTIC FINITE ELEMENT ANALYSIS BASED ON UNIFORM SAMPLING METHOD

Stochastic finite element method is the main analysis method of complicated stochastic structure, and it is mainly applied to the Monte Carlo simulation method. Its sampling method is commonly called the Latin Hypercube sampling method. But for stochastic finite element analysis, and if level numbers for sampling are too many, sampling numbers will be difficult for most engineering purposes. In this paper, uniform sampling method is applied. Calculating examples with different factors and levels are compared with calculating examples in which Latin Hypercube sampling method is applied. Calculating examples show that when sampling numbers by uniform sampling technique is obviously fewer than sampling numbers by Latin Hypercube, mean values and standard deviations of displacements, stresses of node by the two sampling methods are almost completely identical. Uniform samplings for stochastic finite element analysis have good computing efficiency, and have certain applied perspectives.