Exact solution of 3D Timoshenko beam problem using linked interpolation of arbitrary order
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Publication:363385
DOI10.1007/s00419-009-0403-1zbMath1271.74262OpenAlexW2024178063MaRDI QIDQ363385
Publication date: 2 September 2013
Published in: Archive of Applied Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00419-009-0403-1
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Explicit solutions of equilibrium problems in solid mechanics (74G05)
Related Items (8)
Distortion-immune nine-node displacement-based quadrilateral thick plate finite elements that satisfy constant-bending patch test ⋮ An energy-momentum method for in-plane geometrically exact Euler-Bernoulli beam dynamics ⋮ Mixed‐mode delamination of layered structures modeled as Timoshenko beams with linked interpolation ⋮ Higher-order hybrid stress triangular Mindlin plate element ⋮ Dynamics of flexible beams: Finite-element formulation based on interpolation of strain measures ⋮ A refined higher-order hybrid stress quadrilateral element for free vibration and buckling analyses of Reissner-Mindlin plates ⋮ Exact solution of 3D Timoshenko beam problem: problem-dependent formulation ⋮ Static deflection of fully coupled composite Timoshenko beams: an exact analytical solution
Uses Software
Cites Work
- On locking-free shear deformable beam finite elements
- Explanation and elimination of shear locking and membrane locking with field consistence approach
- Quadrilateral finite elements for analysis of thick and thin plates
- A shear deformable plate element with an exact thin limit
- Vandermonde systems on equidistant nodes in \([0,1\): accurate computation]
- Convergence properties and derivative extraction of the superconvergent Timoshenko beam finite element
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