Geometrically non-linear formulation for two dimensional curved beam elements

DOI10.1016/0045-7949(83)90035-4zbMath0503.73057OpenAlexW2059310429MaRDI QIDQ3969966

Karan S. Surana

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0045-7949(83)90035-4

zbMATH Keywords

numerical examplesaccuracytotal Lagrangian approachgeometrically nonlinear formulationelement propertiestwo successive load incrementslinear, paralinear and cubic-linear plane stress elementsrestricted to small nodal rotationstwo dimensional curved beam elements

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Numerical quadrature and cubature formulas (65D32) Numerical and other methods in solid mechanics (74S99)

Related Items (4)

The nonlinear numerical analysis method for frames ⋮ Free in-plane vibration of curved beam structures: A tutorial and the state of the art ⋮ Geometrically nonlinear analysis of beam structures via hierarchical one-dimensional finite elements ⋮ Large deformation analysis of a plane curved beam using Jacobi elliptic functions

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