Buckling analysis of imperfect I-section beam-columns with stochastic shell finite elements

DOI10.1007/s00466-010-0488-yzbMath1398.74400OpenAlexW2085475068MaRDI QIDQ987428

Manfred Bischoff, Manolis Papadrakakis, Vissarion Papadopoulos, Dominik Schillinger

Publication date: 13 August 2010

Published in: Computational Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00466-010-0488-y

zbMATH Keywords

spectral representationmethod of separationbuckling of I-section beam-columnsevolutionary power spectrarandom field based imperfectionsstochastic shell finite elements

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60) Shells (74K25) Random structure in solid mechanics (74E35) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Related Items

Towards shock absorbing hyperelastic metamaterial design. I: Macroscopic scale: computational shock-capturing ⋮ The Method of Separation: A Novel Approach for Accurate Estimation of Evolutionary Power Spectra ⋮ Post-buckling nonlinear static and dynamical analyses of uncertain cylindrical shells and experimental validation ⋮ Stochastic inverse identification of geometric imperfections in shell structures ⋮ Probabilistic buckling analysis of beam-column elements with geometric imperfections and various boundary conditions

Uses Software

• TRIC

Cites Work

• Unnamed Item
• Accurate estimation of evolutionary power spectra for strongly narrow-band random fields
• The stochastic finite element method: past, present and future
• Geometrically nonlinear behavior of structural systems with random material property: an asymptotic spectral stochastic approach
• A sampling-based approach for probabilistic design with random fields
• The effect of material and thickness variability on the buckling load of shells with random initial imperfections
• Uncertainty assessment of large finite element systems.
• Buckling analysis of imperfect shells with stochastic non-Gaussian material and thickness properties
• Buckling analysis of cylindrical shells with random geometric imperfections
• Buckling analysis of cylindrical shells with cutouts including random boundary and geometric imperfections
• Assessment of spectral representation and Karhunen-Loève expansion methods for the simulation of Gaussian stochastic fields
• Static collapse: A survey of methods and modes of behaviour
• 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
• Stochastic finite element analysis of shells with combined random material and geometric properties.
• Uncertain buckling: Its past, present and future
• Postbuckling performance of the TRIC natural mode triangular element for isotropic and laminated composite shells
• Elasto-plastic analysis of shells with the triangular element TRIC
• Stochastic finite element analysis of shells
• The effect of non-uniformity of axial loading on the buckling behaviour of shells with random imperfections
• Spectral stochastic finite element analysis for laminated composite plates
• Shell structures-a sensitive interrelation between physics and numerics
• On the investigation of shell buckling due to random geometrical imperfections implemented using Karhunen–Loève expansions