Analysis of mean and mean square response of general linear stochastic finite element systems

DOI10.1016/j.cma.2005.11.008zbMath1155.74413OpenAlexW2070138300MaRDI QIDQ996648

Vissarion Papadopoulos, George Deodatis, Manolis Papadrakakis

Publication date: 24 September 2007

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.2005.11.008

zbMATH Keywords

upper boundsMonte Carlo simulationstochastic finite element analysismean response functionnon-homogeneous stochastic fieldsVariability response function

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Random structure in solid mechanics (74E35)

Related Items (5)

Nonlinear model updating through a hierarchical Bayesian modeling framework ⋮ An adaptive spectral Galerkin stochastic finite element method using variability response functions ⋮ Finite element analysis with uncertain probabilities ⋮ Generalized variability response functions for two-dimensional elasticity problems ⋮ Dynamic Variability Response for Stochastic Systems

Uses Software

• TRIC

Cites Work

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• Some exact solutions for the bending of beams with spatially stochastic stiffness
• Flexibility-based upper bounds on the response variability of simple beams
• Current developments in time series modelling
• TRIC: A simple but sophisticated 3-node triangular element based on 6 rigid-body and 12 straining modes for fast computational simulations of arbitrary isotropic and laminated composite shells
• Response variability of stochastic frame structures using evolutionary field theory

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