Stochastic analysis of transport in tubes with rough walls
Journal of Computational Physics - Special issue: Uncertainty quantification in simulation science
Adaptive rejection Metropolis sampling using Lagrange interpolation polynomials of degree 2
Computational Statistics & Data Analysis
A new method for random vibration analysis of stochastic truss structures
Finite Elements in Analysis and Design
A non-intrusive method to add finite element-based random variables to a probabilistic design code
Finite Elements in Analysis and Design
A directed Monte Carlo solution of linear stochastic algebraic system of equations
Finite Elements in Analysis and Design
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
Finite Elements in Analysis and Design
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To obtain the probability density functions and the cumulative distribution functions of static responses of stochastic structures, a hybrid stochastic method named as the transformed perturbation stochastic finite element method (TPSFEM) is proposed. In TPSFEM, the static responses of stochastic structures are approximated as the linear functions of random variables by using the first order perturbation technique. According to the approximated linear relationships between static responses and random variables, the probability density functions of static responses are obtained by the change-of-variable technique. The cumulative distribution functions of static responses are calculated by the numerical integration method. The numerical examples on a thin plate, a six-bar truss structure, a Mindlin plate and a shell structure verify the effectiveness and accuracy of the proposed method. Hence, the proposed method can be considered as an alternative engineering method for the static response analysis of stochastic structures.