Geometrically exact finite element formulations for slender beams: Kirchhoff–Love theory versus Simo–Reissner theory

C Meier, A Popp, WA Wall - Archives of Computational Methods in …, 2019 - Springer
The present work focuses on geometrically exact finite elements for highly slender beams. It
aims at the proposal of novel formulations of Kirchhoff–Love type, a detailed review of …

State of the art of ANCF elements regarding geometric description, interpolation strategies, definition of elastic forces, validation and the locking phenomenon in …

K Nachbagauer - Archives of Computational Methods in Engineering, 2014 - Springer
The focus of the present article lies on new enhanced beam finite element formulations in
the absolute nodal coordinate formulation (ANCF) and its embedding in the available …

[BUKU][B] Computational continuum mechanics

AA Shabana - 2018 - books.google.com
An updated and expanded edition of the popular guide to basic continuum mechanics and
computational techniques This updated third edition of the popular reference covers state-of …

Geometrically exact beam finite element formulated on the special Euclidean group SE (3)

V Sonneville, A Cardona, O Brüls - Computer Methods in Applied …, 2014 - Elsevier
This paper describes a dynamic formulation of a straight beam finite element in the setting of
the special Euclidean group SE (3). First, the static and dynamic equilibrium equations are …

Multi-body dynamics simulation of geometrically exact Cosserat rods

H Lang, J Linn, M Arnold - Multibody System Dynamics, 2011 - Springer
In this paper, we present a viscoelastic rod model that is suitable for fast and accurate
dynamic simulations. It is based on Cosserat's geometrically exact theory of rods and is able …

[HTML][HTML] Multibody modeling and nonlinear control of a pantograph scissor lift mechanism

CM Pappalardo, R La Regina, D Guida - Journal of Applied and …, 2023 - jacm.scu.ac.ir
In this paper, a new strategy for develo** effective control policies suitable for guiding the
motion of articulated mechanical systems that are described within the framework of …

Variational integrators for constrained dynamical systems

S Leyendecker, JE Marsden… - ZAMM‐Journal of Applied …, 2008 - Wiley Online Library
A variational formulation of constrained dynamics is presented in the continuous and in the
discrete setting. The existing theory on variational integration of constrained problems is …

The interpolation of rotations and its application to finite element models of geometrically exact rods

I Romero - Computational mechanics, 2004 - Springer
The finite element formulation of geometrically exact rod models depends crucially on the
interpolation of the rotation field from the nodes to the integration points where the internal …

[HTML][HTML] An efficient displacement-based isogeometric formulation for geometrically exact viscoelastic beams

G Ferri, D Ignesti, E Marino - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
We propose a novel approach to the linear viscoelastic problem of shear-deformable
geometrically exact beams. The generalized Maxwell model for one-dimensional solids is …

BeamDyn: A high‐fidelity wind turbine blade solver in the FAST modular framework

Q Wang, MA Sprague, J Jonkman, N Johnson… - Wind …, 2017 - Wiley Online Library
This paper presents a numerical implementation of the geometrically exact beam theory
based on the Legendre‐spectral‐finite‐element (LSFE) method. The displacement‐based …