Dynamic multi-patch isogeometric analysis of planar Euler-Bernoulli beams

DOI10.1016/j.cma.2020.113435zbMath1506.74482OpenAlexW3091377667MaRDI QIDQ2021066

Tinh Quoc Bui, Pruettha Nanakorn, Aleksandar Borković, Duy Vo

Publication date: 26 April 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2020.113435

zbMATH Keywords

isogeometric analysis (IGA)circular archesframes with kinkslinear dynamic analysismulti-patch beam structuressuperior order of convergence

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Isogeometric methods applied to problems in solid mechanics (74S22)

Related Items (5)

An updated Lagrangian Bézier finite element formulation for the analysis of slender beams ⋮ Geometrically nonlinear multi-patch isogeometric analysis of spatial Euler-Bernoulli beam structures ⋮ A non-linear symmetric \(\mathrm{G}^1\)-conforming Bézier finite element formulation for the analysis of Kirchhoff beam assemblies ⋮ An efficient isogeometric beam formulation for analysis of 2D non-prismatic beams ⋮ Static analysis of planar arbitrarily curved microbeams with the modified couple stress theory and Euler-Bernoulli beam model

Cites Work

• Unnamed Item
• Isogeometric rotation-free analysis of planar extensible-elastica for static and dynamic applications
• Isogeometric design of elastic arches for maximum fundamental frequency
• An implicit \(G^1\) multi patch B-spline interpolation for Kirchhoff-Love space rod
• B-spline interpolation of Kirchhoff-Love space rods
• Isogeometric shell analysis with Kirchhoff-Love elements
• The bending strip method for isogeometric analysis of Kirchhoff-Love shell structures comprised of multiple patches
• A total Lagrangian Timoshenko beam formulation for geometrically nonlinear isogeometric analysis of spatial beam structures
• Isogeometric vibration analysis of free-form Timoshenko curved beams
• Isogeometric analysis of structural vibrations
• Efficient isogeometric formulation for vibration analysis of complex spatial beam structures
• Vibrations of Timoshenko beams with isogeometric approach
• Superconvergent isogeometric free vibration analysis of Euler-Bernoulli beams and Kirchhoff plates with new higher order mass matrices
• Free in-plane vibrations of curved nonuniform beams
• Linear static isogeometric analysis of an arbitrarily curved spatial Bernoulli-Euler beam
• Isogeometric shape optimization of nonlinear, curved 3D beams and beam structures
• Weak coupling of nonlinear isogeometric spatial Bernoulli beams
• Geometrically nonlinear multi-patch isogeometric analysis of planar curved Euler-Bernoulli beams
• A total Lagrangian Timoshenko beam formulation for geometrically nonlinear isogeometric analysis of planar curved beams
• Dynamic responses of Euler-Bernoulli beam subjected to moving vehicles using isogeometric approach
• Phase-field description of brittle fracture in plates and shells
• An efficient and robust rotational formulation for isogeometric Reissner-Mindlin shell elements
• Nonlinear isogeometric spatial Bernoulli beam
• Isogeometric analysis of nonlinear Euler-Bernoulli beam vibrations
• Isogeometric rotation-free bending-stabilized cables: statics, dynamics, bending strips and coupling with shells
• Extended isogeometric dynamic and static fracture analysis for cracks in piezoelectric materials using NURBS
• Exact Solutions for Out-of-Plane Vibration of Curved Nonuniform Beams

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