Evaluation of simple bifurcation points and post-critical path in large finite rotation problems

DOI10.1016/S0045-7825(98)00365-XzbMath0953.70007OpenAlexW2033996948WikidataQ126772714 ScholiaQ126772714MaRDI QIDQ1971271

Alfredo Huespe, Alberto Cardona

Publication date: 25 January 2001

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

Full work available at URL: https://doi.org/10.1016/s0045-7825(98)00365-x

zbMATH Keywords

flexible mechanismssingle bifurcation pointsthree-dimensional finite rotations

Mathematics Subject Classification ID

Thin bodies, structures (74K99) Bifurcation and buckling (74G60) Dynamics of multibody systems (70E55)

Related Items (12)

Direct computation of critical equilibrium states for spatial beams and frames ⋮ Dynamic analysis of beam structures considering geometric and constitutive nonlinearity ⋮ Constitutive and geometric nonlinear models for the seismic analysis of RC structures with energy dissipators ⋮ Three-dimensional finite rotations treatment based on a minimal set parameterization and vector space operations in beam elements ⋮ AN APPROACH TO STATICAL AND QUASI-STATICAL NONLINEAR ANALYSIS OF STRUCTURES IN SMALL STRAINS AND FINITE ROTATIONS HYPOTHESES ⋮ Improved minimal augmentation procedure for the direct computation of critical points. ⋮ Large-deformation instability behaviors of 3D beams supported with 3D hinge joints subjected to axial and torsional loadings ⋮ Formulation of a geometrically nonlinear 3D beam finite element based on kinematic-group approach ⋮ EVALUATION OF THE FOLD LINE BY ASYMPTOTIC EXTRAPOLATION FOR STRUCTURAL ANALYSIS ⋮ Static analysis of beam structures under nonlinear geometric and constitutive behavior ⋮ Bifurcations and internal resonances in space-curved rods ⋮ Post-critical analysis of structures with a nonlinear pre-buckling state in the presence of imperfections.

Uses Software

• PITCON

Cites Work

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