Advances in Engineering Software - Special issue on large-scale analysis, design and intelligent synthesis environments
On the treatment of uncertainties in structural mechanics and analysis
Computers and Structures
Generalized perturbation-based stochastic finite element method in elastostatics
Computers and Structures
Uncertainty Assessment of Large Finite Element Systems
Uncertainty Assessment of Large Finite Element Systems
Efficient stochastic structural analysis using Guyan reduction
Advances in Engineering Software
Generalized stochastic finite element method in elastic stability problems
Computers and Structures
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This paper investigates the application of first order Taylor series expansion considering intervening variables for estimating second order statistics for problems of stochastic finite element analysis. In particular, two types of intervening variables are considered. The focus is on studying the response of linear elastic static structures whose properties are characterized by means of log-normal random fields. Results obtained indicate that the use of intervening variables can lead to improved estimation of second order statistics when compared with traditional approaches based on Taylor series while numerical efforts remain similar.