Lateral buckling analysis of beams by the fem

DOI10.1016/0045-7949(86)90214-2zbMath0582.73044OpenAlexW1997447435MaRDI QIDQ3704997

Mario M. Attard

Publication date: 1986

Published in: Computers & Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7949(86)90214-2

zbMATH Keywords

stability criterionquadratic eigenvalue problemconservative static loadselastic straight prismatic thin-walled open beamsinitial bending curvatureinitial bending is about a dominant major axislateral buckling loadpositive definiteness of the second variation of the total potential energy

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Bifurcation and buckling (74G60)

Related Items (13)

Direct computation of critical equilibrium states for spatial beams and frames ⋮ Flexural-torsional postbuckling analysis of beams of arbitrary cross-section ⋮ Co-rotational finite element formulation for thin-walled beams with generic open section ⋮ Numerical solutions for large sparse quadratic eigenvalue problems ⋮ Buckling analysis of pre-cracked beam-columns by Lyapunov's second method ⋮ On coupled bending-torsional vibrations of beams with initial loads ⋮ A consistent finite element formulation for linear buckling analysis of spatial beams ⋮ Co-rotational formulation for geometric nonlinear analysis of doubly symmetric thin-walled beams ⋮ Three-dimensional beam element for pre- and post-buckling analysis of thin-walled beams in multibody systems ⋮ Lateral buckling analysis of beams of arbitrary cross section by BEM ⋮ A co-rotational finite element formulation for buckling and postbuckling analyses of spatial beams ⋮ A corotational formulation for thin-walled beams with monosymmetric open section ⋮ SPATIAL STABILITY ANALYSIS OF THIN-WALLED SPACE FRAMES

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