Stochastic finite elements: a spectral approach
Stochastic finite elements: a spectral approach
Hierarchical parallelisation for the solution of stochastic finite element equations
Computers and Structures
Non-stationary response of large, non-linear finite element systems under stochastic loading
Computers and Structures
Symbolic computations in science and engineering
ICCOMP'08 Proceedings of the 12th WSEAS international conference on Computers
Stochastic seismic response analysis of structures exhibiting high nonlinearity
Computers and Structures
Generalized stochastic finite element method in elastic stability problems
Computers and Structures
Generalized stochastic cell-based smoothed finite element method (GS_CS-FEM) for solid mechanics
Finite Elements in Analysis and Design
Finite Elements in Analysis and Design
On the application of intervening variables for stochastic finite element analysis
Computers and Structures
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Generalised nth order stochastic perturbation technique that can be applied to solve some boundary value or boundary initial problems in computational physics and/or engineering with random coefficients is presented here. This technique is implemented in conjunction with the finite element method (FEM) to model 1D linear elastostatics problem with a single random variable. Main motivation of this work is to improve essentially the accuracy of the stochastic perturbation technique, which in its second order realization was ineffective for large variations of the input random fields. The nth order approach makes it possible to specify the accuracy of the computations a priori for the expected values and variances separately. The symbolic computer program is employed to perform computational studies on convergence of the first two probabilistic moments for simple unidirectional tension of the bar. These numerical studies verify the influence of coefficient of variation of the random input and, in the same time, of the perturbation parameter on the first four probabilistic moments of the final solution vector.