Isogeometric collocation for three-dimensional geometrically exact shear-deformable beams

By Enzo Marino. 2016

77 citations recorded by the source corpus.

Abstract We extend the isogeometric collocation method to the geometrically nonlinear beams. An exact kinematic formulation, able to represent three-dimensional displacements and rotations without any restriction in magnitude, is presented without the introduction of the moving frame concept. A displacement-based formulation is adopted. Full linearization of the strong form of the governing equations is derived consistently with the underlying geometric structure of the configuration manifold. Incremental rotations are parametrized through Eulerian rotation vectors and configuration updates are performed by means of the exponential map. Numerical tests demonstrate that the proposed combination of isogeometric collocation method with the chosen rotations parametrization results in an efficient computational scheme able to model complex problems with high accuracy.

Subfields: Computational Mechanics, Control and Systems Engineering, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/4437d75afba0da266bbf565cbfa2091436e8b861

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In Computational Mechanics

In Control and Systems Engineering

In Mechanical Engineering

Citations in the corpus

An isogeometric collocation method for frictionless contact of Cosserat rods (2017, background): “Formulations for geometrically nonlinear Cosserat rods and rod structures were presented in [27] and [28].”