An Euler-Bernoulli-like finite element method for Timoshenko beams

DOI10.1016/j.mechrescom.2010.10.009zbMath1272.74609OpenAlexW1978440812MaRDI QIDQ366632

Dario Settineri, Giovanni Falsone

Publication date: 13 September 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0093641310001497

zbMATH Keywords

Timoshenko beamHermite polynomialsfinite element approachsingle governing equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (10)

A new locking-free finite element method based on more consistent version of Mindlin plate equation ⋮ An APDM-based method for the analysis of systems with uncertainties ⋮ Higher-order shear beam theories and enriched continuum ⋮ FEA Versus IGA in a Two-Node Beam Element Based on Unified and Integrated Method ⋮ Isogeometric Galerkin in rectangular plate bending problem based on UI approach ⋮ A homogenized theory for functionally graded Euler-Bernoulli and Timoshenko beams ⋮ A Newmark space-time formulation in structural dynamics ⋮ A new class of interdependent shape polynomials for the FE dynamic analysis of Mindlin plate Timoshenko beam ⋮ Single-variable formulations and isogeometric discretizations for shear deformable beams ⋮ A piezoelectric Euler-Bernoulli beam with dynamic boundary control: stability and dissipative FEM

Cites Work

• On locking-free shear deformable beam finite elements
• A higher order beam finite element for bending and vibration problems
• Reduced integration and the shear-flexible beam element
• Convergence of consistently derived Timoshenko beam finite elements

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