Non-prismatic Timoshenko-like beam model: numerical solution via isogeometric collocation

DOI10.1016/j.camwa.2017.04.025zbMath1394.65060OpenAlexW2612780075WikidataQ55670651 ScholiaQ55670651MaRDI QIDQ1663811

Giuseppe Balduzzi, Alessandro Reali, Simone Morganti, Ferdinando Auricchio

Publication date: 24 August 2018

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2017.04.025

zbMATH Keywords

B-splinesisogeometric analysistapered beamsmixed collocation methodsnon-prismatic beams

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

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Cites Work

• Unnamed Item
• General finite element description for non-uniform and discontinuous beam elements
• Avoiding shear locking for the Timoshenko beam problem via isogeometric collocation methods
• Deflections of members with variable circular cross-section
• Isogeometric collocation methods for the Reissner-Mindlin plate problem
• An isogeometric collocation approach for Bernoulli-Euler beams and Kirchhoff plates
• Single-variable formulations and isogeometric discretizations for shear deformable beams
• An efficient procedure to find shape functions and stiffness matrices of nonprismatic Euler-Bernoulli and Timoshenko beam elements
• Free vibration and wave propagation analysis of uniform and tapered rotating beams using spectrally formulated finite elements
• Locking-free isogeometric collocation methods for spatial Timoshenko rods
• ISOGEOMETRIC COLLOCATION METHODS
• An Introduction to Isogeometric Collocation Methods
• Exact stiffness matrix of a nonuniform beam—II. Bending of a timoshenko beam
• Isogeometric Analysis
• On the Accuracy of the Bernoulli-Euler Theory for Beams of Variable Section

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