An efficient procedure to find shape functions and stiffness matrices of nonprismatic Euler-Bernoulli and Timoshenko beam elements

DOI10.1016/j.euromechsol.2010.04.003zbMath1481.74701OpenAlexW2017970672MaRDI QIDQ2034354

A. Shooshtari, R. Khajavi

Publication date: 21 June 2021

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2010.04.003

zbMATH Keywords

Timoshenko beamEuler-Bernoulli beamtaperingnonprismatic beam elementsection jumpstrain interpolation function

Mathematics Subject Classification ID

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

Related Items (8)

Nonuniform torsion analysis in tapered composite bars by including higher-order warping modes ⋮ An analytical approach to vibration analysis of beams with variable properties ⋮ Exact natural frequencies and buckling load of functionally graded material tapered beam-columns considering semi-rigid connections ⋮ Non-prismatic Timoshenko-like beam model: numerical solution via isogeometric collocation ⋮ Time-domain analysis of framed structures based on ``exact structural-property matrices for nonprismatic Timoshenko's elements ⋮ Free vibration and stability of tapered Euler-Bernoulli beams made of axially functionally graded materials ⋮ A novel stiffness/flexibility-based method for Euler-Bernoulli/Timoshenko beams with multiple discontinuities and singularities ⋮ An exact transfer matrix expression for bending vibration analysis of a rotating tapered beam

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