Postbuckling behavior and imperfection sensitivity of elastic structures by the Lyapunov-Schmidt-Koiter approach

DOI10.1016/0045-7825(93)90005-IzbMath0846.73018MaRDI QIDQ1912140

Ralf Peek, Mostafa Kheyrkhahan

Publication date: 3 October 1996

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

zbMATH Keywords

decompositionfinite element programbeam on elastic foundationshallow archexpansion of reduced equilibrium equationssymmetry-breaking modal interaction

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Bifurcation and buckling (74G60)

Related Items (10)

A perturbation method for the determination of the buckling strength of imperfection-sensitive structures ⋮ The Koiter-Newton approach using von Kármán kinematics for buckling analyses of imperfection sensitive structures ⋮ A Koiter-Newton approach for nonlinear structural analysis ⋮ A Koiter reduction technique for the nonlinear thermoelastic analysis of shell structures prone to buckling ⋮ Synchronous whirling of spinning homogeneous elastic cylinders: linear and weakly nonlinear analyses ⋮ Singular perturbations for sensitivity analysis in symmetric bifurcation buckling ⋮ Analysis of post‐buckling branches at multiple symmetric bifurcations ⋮ Buckling of a spinning elastic cylinder: linear, weakly nonlinear and post-buckling analyses ⋮ Selection of hexagonal buckling patterns by the elastic Rayleigh-Taylor instability ⋮ Post-critical analysis of structures with a nonlinear pre-buckling state in the presence of imperfections.

Cites Work

• First and second order constraint approximations in structural optimization
• A group-theoretic approach to computational bifurcation problems with symmetry
• Postbuckling analysis of elastic structures by the finite element method
• Buckling load of non-linear systems with multiple eigenvalues
• Some computational tools for the analysis of through cracks in stiffened fuselage shells
• Asymptotic analysis of the buckling of imperfect columns on nonlinear elastic foundations
• Symbolic manipulation in buckling and postbuckling analysis
• Initial Postbuckling Behavior of Imperfect, Antisymmetric Cross-Ply Cylindrical Shells Under Torsion
• Stability of imperfectly cylindrical shells made from composite materials
• Sensitivity of buckling loads of anisotropic shells of revolution to geometric imperfections and design changes
• The Application of Newton’s Method to the Problem of Elastic Stability
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