Interpolation schemes for geometrically exact beams: A motion approach
Sign Up to like & getrecommendations! Published in 2017 at "International Journal for Numerical Methods in Engineering"
DOI: 10.1002/nme.5548
Abstract: This paper focuses on the interpolation of the kinematic fields describing the configuration of geometrically exact beams, namely the position and rotation fields. Two kinematic representations are investigated: the classical approach that treats the displacement… read more here.
Keywords: motion; geometrically exact; interpolation; motion approach ... See more keywords
Locking-free isogeometric collocation formulation for three-dimensional geometrically exact shear-deformable beams with arbitrary initial curvature
Sign Up to like & getrecommendations! Published in 2017 at "Computer Methods in Applied Mechanics and Engineering"
DOI: 10.1016/j.cma.2017.06.031
Abstract: Abstract This paper presents a displacement-based and a mixed isogeometric collocation formulations for three-dimensional geometrically exact shear-deformable beams with arbitrarily curved initial geometry. Strong forms of both formulations are consistently linearized with respect to the… read more here.
Keywords: three dimensional; collocation; geometrically exact; formulation ... See more keywords
Geometrically exact beam element with predefined stress resultant fields for nonlinear analysis of FG curved beams with discontinuous stiffness
Sign Up to like & getrecommendations! Published in 2021 at "Composite Structures"
DOI: 10.1016/j.compstruct.2021.114437
Abstract: Abstract Based on the geometrically exact beam theory, a novel force-based beam finite element formulation is proposed in this paper for geometrically nonlinear analysis of functional graded (FG) curved beams with discontinuous stiffness. In this… read more here.
Keywords: exact beam; geometrically exact; curved beams; beam ... See more keywords
The mathematical theory of a higher-order geometrically-exact beam with a deforming cross-section
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Solids and Structures"
DOI: 10.1016/j.ijsolstr.2020.06.002
Abstract: Abstract This paper investigates the variational formulation and numerical solution of a higher-order, geometrically exact Cosserat type beam with deforming cross-section, instigated from generalized kinematics presented in earlier works. The generalizations include the effects of… read more here.
Keywords: beam deforming; geometrically exact; higher order; kinematics ... See more keywords
Three-dimensional nonlinear extreme vibrations of cantilevers based on a geometrically exact model
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Sound and Vibration"
DOI: 10.1016/j.jsv.2021.116295
Abstract: Abstract In this paper, a three-dimensional geometrically exact model is developed for cantilevers, for the first time, which allows for accurate analysis of oscillations of extremely large amplitude. The proposed exact model is on the… read more here.
Keywords: dimensional nonlinear; geometrically exact; exact model; model ... See more keywords
Nonlinear dynamic modeling of drill string in horizontal well - A geometrically exact approach
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Petroleum Science and Engineering"
DOI: 10.1016/j.petrol.2018.09.022
Abstract: Abstract A new nonlinear dynamic model of drill string in horizontal well is established based on geometrically exact beam theory and quadrature element method. The model proposed in this paper takes into account the geometric… read more here.
Keywords: nonlinear dynamic; geometrically exact; string horizontal; drill string ... See more keywords
A geometrically exact formulation of peridynamics
Sign Up to like & getrecommendations! Published in 2020 at "Theoretical and Applied Fracture Mechanics"
DOI: 10.1016/j.tafmec.2020.102850
Abstract: Abstract The main objective of this contribution is to develop a geometrically exact peridynamics (PD) formulation wherein the basic elements of continuum kinematics are preserved. The proposed formulation accounts for large deformations and is variationally… read more here.
Keywords: exact formulation; geometrically exact; neighbour interactions; formulation ... See more keywords
Nonlinear In-Plane Stability of Deep Parabolic Arches Using Geometrically Exact Beam Theory
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Structural Stability and Dynamics"
DOI: 10.1142/s0219455418500062
Abstract: In this paper, we investigate the in-plane stability and post-buckling response of deep parabolic arches with high slenderness ratios subjected to a concentrated load on the apex, using the finite element implementation of a geometrically… read more here.
Keywords: deep parabolic; geometrically exact; plane stability; parabolic arches ... See more keywords
High-Efficiency Dynamic Modeling of a Helical Spring Element Based on the Geometrically Exact Beam Theory
Sign Up to like & getrecommendations! Published in 2020 at "Shock and Vibration"
DOI: 10.1155/2020/8254606
Abstract: This paper presents a modeling study of the dynamics of a helical spring element with variable pitch and radius considering both the static stiffness and dynamic response by using the geometrically exact beam theory. The… read more here.
Keywords: spring element; geometrically exact; helical spring; spring ... See more keywords