Nonlinear finite element computation of the equilibrium, stability and motion of the extensional beam and ring

DOI10.1016/0045-7825(83)90028-2zbMath0512.73071OpenAlexW2037052267MaRDI QIDQ1050172

Isaac Fried

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0045-7825(83)90028-2

zbMATH Keywords

robustnessaccuracyeffectivenessversatilitycubic-cubic C1 extensible completely nonlinear curved beam finite elementdiscrete Gauss integrationelement total potential energymotion of beams and ringsNewton-Raphson techniquenonlinear algebraic stiffness equationnonlinear equilibrium stability

Mathematics Subject Classification ID

Newton-type methods (49M15) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Numerical quadrature and cubature formulas (65D32)

Related Items (4)

A kinematically exact finite element formulation of planar elastic-plastic frames ⋮ Total Lagrangian perspectives on analytical sensitivities for flexible beams ⋮ Orthogonal trajectory accession to the nonlinear equilibrium curve ⋮ Nonlinear finite element analysis of the thin elastic shell of revolution

Cites Work

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• The initial post-buckling of an extensional ring under external pressure
• On the large amplitude oscillations of a thin elastic beam
• Postbuckling behavior of circular rings with two or four concentrated loads
• Survey of computer programs for solution of nonlinear structural and solid mechanics problems
• Postbuckling Ring Analysis
• Nonlinear Vibrations of a Hinged Beam Including Nonlinear Inertia Effects
• Die Kreisringfeder. Zur Theorie des geschlossenen Kreisringes mit großer Formänderung
• On The Buckling of Elastic Rings

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