An exact solution for the static and dynamic analysis of FE discretized uncertain structures

DOI10.1016/j.cma.2006.12.003zbMath1173.74414OpenAlexW2061642870MaRDI QIDQ1033497

J. Blot

Publication date: 6 November 2009

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2006.12.003

zbMATH Keywords

static analysisdynamic analysisuncertain structuresstochastic finite elementexact probabilistic analysis

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Thin bodies, structures (74K99) Random structure in solid mechanics (74E35)

Related Items (13)

Explicit solution for linear systems with parametric stiffness and application to uncertain structures ⋮ An APDM-based method for the analysis of systems with uncertainties ⋮ Reliability analysis of structures with interval uncertainties under stationary stochastic excitations ⋮ TRAX: An approach for the time rational analysis of complex dynamic systems ⋮ A hybrid spectral and metamodeling approach for the stochastic finite element analysis of structural dynamic systems ⋮ A hybrid approach for the time domain analysis of linear stochastic structures ⋮ The stochastic finite element method: past, present and future ⋮ Projection methods for stochastic dynamic systems: a frequency domain approach ⋮ Uncertainty quantification in multiscale simulation of woven fiber composites ⋮ Stress optimization of smooth continuum structures based on the distortion strain energy density ⋮ An improved response function based stochastic meshless method for problems in elasto-statics ⋮ \textit{A priori} error estimation for the stochastic perturbation method ⋮ Stress-based topology optimization of continuum structures under uncertainties

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